
Time bar (total: 7.8s)
| 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% | 50% | 50% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 4 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 5 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 6 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 7 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 8 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 9 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 10 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 11 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 13 to 11 computations (15.4% saved)
| 649.0ms | 8 256× | 0 | valid |
ival-sub: 174.0ms (41% of total)ival-mult: 157.0ms (37% of total)ival-div: 75.0ms (17.7% of total)exact: 8.0ms (1.9% of total)ival-true: 6.0ms (1.4% of total)ival-assert: 3.0ms (0.7% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 18 | 0 | - | 0 | - | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 0 | 0 | - | 0 | - | (*.f64 y #s(literal 3 binary64)) |
| 0 | 0 | - | 0 | - | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) x) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 3 binary64) x) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) | o/n | 18 | 0 |
| ↳ | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) | overflow | 66 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 18 | 0 |
| - | 0 | 238 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 18 | 0 | 0 |
| - | 0 | 0 | 238 |
| number | freq |
|---|---|
| 0 | 238 |
| 1 | 18 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 118.0ms | 512× | 0 | valid |
Compiled 77 to 31 computations (59.7% saved)
ival-sub: 50.0ms (82.2% of total)ival-mult: 6.0ms (9.9% of total)ival-div: 3.0ms (4.9% of total)exact: 1.0ms (1.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 8 876× | lower-fma.f64 |
| 8 876× | lower-fma.f32 |
| 2 550× | lower-*.f32 |
| 2 546× | lower-*.f64 |
| 1 814× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 63 |
| 1 | 76 | 55 |
| 2 | 327 | 55 |
| 3 | 1499 | 55 |
| 4 | 6381 | 55 |
| 0 | 9 | 11 |
| 0 | 14 | 11 |
| 1 | 28 | 11 |
| 2 | 72 | 11 |
| 3 | 171 | 11 |
| 4 | 530 | 11 |
| 5 | 2133 | 11 |
| 6 | 6375 | 11 |
| 0 | 8030 | 10 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| Outputs |
|---|
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
(*.f64 (/.f64 (-.f64 x #s(literal 3 binary64)) y) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/3 binary64))) |
(negabs y)
Compiled 11 to 9 computations (18.2% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 93.1% | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
Compiled 11 to 9 computations (18.2% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 #s(literal 3 binary64) x) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) | |
| cost-diff | 128 | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| 8 876× | lower-fma.f64 |
| 8 876× | lower-fma.f32 |
| 2 550× | lower-*.f32 |
| 2 546× | lower-*.f64 |
| 1 814× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 31 |
| 0 | 14 | 31 |
| 1 | 28 | 31 |
| 2 | 72 | 31 |
| 3 | 171 | 31 |
| 4 | 530 | 31 |
| 5 | 2133 | 31 |
| 6 | 6375 | 31 |
| 0 | 8030 | 29 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(-.f64 #s(literal 3 binary64) x) |
#s(literal 3 binary64) |
(*.f64 y #s(literal 3 binary64)) |
y |
| Outputs |
|---|
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
(*.f64 (/.f64 (-.f64 x #s(literal 3 binary64)) y) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/3 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
(fma.f64 (-.f64 x #s(literal 4 binary64)) x #s(literal 3 binary64)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(-.f64 #s(literal 3 binary64) x) |
#s(literal 3 binary64) |
(*.f64 y #s(literal 3 binary64)) |
y |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 #s(literal 1 binary64) x) | |
| accuracy | 0 | (*.f64 y #s(literal 3 binary64)) | |
| accuracy | 0.01171875 | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) | |
| accuracy | 4.42277018443158 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 16.0ms | 256× | 0 | valid |
Compiled 33 to 11 computations (66.7% saved)
ival-sub: 3.0ms (38.8% of total)ival-mult: 3.0ms (38.8% of total)ival-div: 2.0ms (25.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 3 binary64) x) (patch (-.f64 #s(literal 3 binary64) x) #<representation binary64>) () ()) |
#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor inf y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor inf y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor inf y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor inf y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 3 (taylor 0 x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 3 (* -4 x)) (taylor 0 x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 3 (* x (- x 4))) (taylor 0 x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 3 (* x (- x 4))) (taylor 0 x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor 0 x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -4/3 (/ x y)) (/ 1 y)) (taylor 0 x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) (taylor 0 x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) (taylor 0 x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt 3 (taylor 0 x) (#s(alt (-.f64 #s(literal 3 binary64) x) (patch (-.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 3 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 3 binary64) x) (patch (-.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 3 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 3 binary64) x) (patch (-.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 3 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 3 binary64) x) (patch (-.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (* 4 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (pow x 2) y)) (taylor inf x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) (taylor inf x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) (taylor inf x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) (taylor inf x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (-.f64 #s(literal 3 binary64) x) (patch (-.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* 3 (/ 1 x)) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 3 binary64) x) (patch (-.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* 3 (/ 1 x)) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 3 binary64) x) (patch (-.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* 3 (/ 1 x)) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 3 binary64) x) (patch (-.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (* 4 (/ 1 x)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (pow x 2) y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 #s(literal 3 binary64) x) (patch (-.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 3 binary64) x) (patch (-.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 3 binary64) x) (patch (-.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 3 binary64) x) (patch (-.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | -inf | ((* (- 1 x) (- 3 x)) (/ (* (- 1 x) (- 3 x)) (* y 3)) (- 1 x) (- 3 x) (* y 3)) |
| 1.0ms | y | @ | inf | ((* (- 1 x) (- 3 x)) (/ (* (- 1 x) (- 3 x)) (* y 3)) (- 1 x) (- 3 x) (* y 3)) |
| 1.0ms | y | @ | 0 | ((* (- 1 x) (- 3 x)) (/ (* (- 1 x) (- 3 x)) (* y 3)) (- 1 x) (- 3 x) (* y 3)) |
| 1.0ms | x | @ | inf | ((* (- 1 x) (- 3 x)) (/ (* (- 1 x) (- 3 x)) (* y 3)) (- 1 x) (- 3 x) (* y 3)) |
| 1.0ms | x | @ | -inf | ((* (- 1 x) (- 3 x)) (/ (* (- 1 x) (- 3 x)) (* y 3)) (- 1 x) (- 3 x) (* y 3)) |
| 1× | egg-herbie |
| 8 634× | lower-fma.f64 |
| 8 634× | lower-fma.f32 |
| 3 164× | lower-*.f64 |
| 3 164× | lower-*.f32 |
| 2 266× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 78 | 446 |
| 1 | 216 | 446 |
| 2 | 543 | 446 |
| 3 | 1551 | 418 |
| 4 | 4034 | 418 |
| 5 | 7654 | 418 |
| 0 | 8499 | 384 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
3 |
(+ 3 (* -4 x)) |
(+ 3 (* x (- x 4))) |
(+ 3 (* x (- x 4))) |
(/ 1 y) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
3 |
(+ 3 (* -1 x)) |
(+ 3 (* -1 x)) |
(+ 3 (* -1 x)) |
(pow x 2) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x)))) |
(* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x)))) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* -1 x) |
(* x (- (* 3 (/ 1 x)) 1)) |
(* x (- (* 3 (/ 1 x)) 1)) |
(* x (- (* 3 (/ 1 x)) 1)) |
(pow x 2) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 x) |
(* -1 (* x (- 1 (* 3 (/ 1 x))))) |
(* -1 (* x (- 1 (* 3 (/ 1 x))))) |
(* -1 (* x (- 1 (* 3 (/ 1 x))))) |
| Outputs |
|---|
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
3 |
#s(literal 3 binary64) |
(+ 3 (* -4 x)) |
(fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)) |
(+ 3 (* x (- x 4))) |
(fma.f64 (-.f64 x #s(literal 4 binary64)) x #s(literal 3 binary64)) |
(+ 3 (* x (- x 4))) |
(fma.f64 (-.f64 x #s(literal 4 binary64)) x #s(literal 3 binary64)) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(fma.f64 (/.f64 #s(literal -4/3 binary64) y) x (/.f64 #s(literal 1 binary64) y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64))) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
3 |
#s(literal 3 binary64) |
(+ 3 (* -1 x)) |
(-.f64 #s(literal 3 binary64) x) |
(+ 3 (* -1 x)) |
(-.f64 #s(literal 3 binary64) x) |
(+ 3 (* -1 x)) |
(-.f64 #s(literal 3 binary64) x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(*.f64 (-.f64 x #s(literal 4 binary64)) x) |
(* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x)))) |
(fma.f64 (-.f64 x #s(literal 4 binary64)) x #s(literal 3 binary64)) |
(* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x)))) |
(fma.f64 (-.f64 x #s(literal 4 binary64)) x #s(literal 3 binary64)) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64))) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* 3 (/ 1 x)) 1)) |
(-.f64 #s(literal 3 binary64) x) |
(* x (- (* 3 (/ 1 x)) 1)) |
(-.f64 #s(literal 3 binary64) x) |
(* x (- (* 3 (/ 1 x)) 1)) |
(-.f64 #s(literal 3 binary64) x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(*.f64 (-.f64 x #s(literal 4 binary64)) x) |
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) |
(fma.f64 (-.f64 x #s(literal 4 binary64)) x #s(literal 3 binary64)) |
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) |
(fma.f64 (-.f64 x #s(literal 4 binary64)) x #s(literal 3 binary64)) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64))) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (- 1 (* 3 (/ 1 x))))) |
(-.f64 #s(literal 3 binary64) x) |
(* -1 (* x (- 1 (* 3 (/ 1 x))))) |
(-.f64 #s(literal 3 binary64) x) |
(* -1 (* x (- 1 (* 3 (/ 1 x))))) |
(-.f64 #s(literal 3 binary64) x) |
| 4 254× | lower-*.f32 |
| 4 250× | lower-*.f64 |
| 4 002× | lower-/.f32 |
| 4 000× | lower-/.f64 |
| 1 836× | frac-times |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 27 |
| 0 | 14 | 27 |
| 1 | 59 | 27 |
| 2 | 433 | 27 |
| 3 | 7340 | 27 |
| 0 | 8063 | 27 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
(-.f64 #s(literal 1 binary64) x) |
(-.f64 #s(literal 3 binary64) x) |
(*.f64 y #s(literal 3 binary64)) |
| Outputs |
|---|
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
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Compiled 16 679 to 2 125 computations (87.3% saved)
15 alts after pruning (15 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 800 | 15 | 815 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 801 | 15 | 816 |
| Status | Accuracy | Program |
|---|---|---|
| 99.6% | (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) | |
| 99.6% | (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 y (/.f64 #s(literal 3 binary64) (-.f64 #s(literal 1 binary64) x)))) | |
| ▶ | 99.7% | (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) |
| 93.3% | (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) x))) y) | |
| 93.1% | (/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 (-.f64 x #s(literal 4 binary64)) x #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) | |
| 57.1% | (/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) | |
| ▶ | 43.4% | (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64))) |
| ▶ | 42.9% | (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) |
| 52.8% | (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) | |
| ▶ | 99.6% | (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) |
| 99.6% | (*.f64 (neg.f64 (-.f64 #s(literal 3 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal -3 binary64) y))) | |
| ▶ | 53.0% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
| 99.5% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))) | |
| 50.0% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) | |
| 49.5% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)) |
Compiled 286 to 254 computations (11.2% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 #s(literal 3 binary64) x) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 3 binary64) x) y) | |
| cost-diff | 0 | (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) | |
| cost-diff | 128 | (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (-.f64 x #s(literal 4 binary64)) | |
| cost-diff | 0 | (*.f64 (-.f64 x #s(literal 4 binary64)) x) | |
| cost-diff | 0 | #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64))) | |
| cost-diff | 0 | (*.f64 y #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) | |
| cost-diff | 0 | (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) | |
| cost-diff | 0 | (-.f64 #s(literal 3 binary64) x) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 3 binary64) x) y) | |
| cost-diff | 128 | (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 384 | (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) |
| 16 636× | lower-fma.f64 |
| 16 636× | lower-fma.f32 |
| 2 960× | lower-*.f32 |
| 2 950× | lower-*.f64 |
| 1 622× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 171 |
| 0 | 39 | 171 |
| 1 | 71 | 171 |
| 2 | 143 | 171 |
| 3 | 356 | 171 |
| 4 | 1260 | 171 |
| 5 | 4640 | 171 |
| 0 | 8160 | 162 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) |
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 #s(literal 3 binary64) x) y) |
(-.f64 #s(literal 3 binary64) x) |
#s(literal 3 binary64) |
x |
y |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) |
(*.f64 x x) |
x |
(*.f64 y #s(literal 3 binary64)) |
y |
#s(literal 3 binary64) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) |
(*.f64 (-.f64 x #s(literal 4 binary64)) x) |
(-.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
(*.f64 y #s(literal 3 binary64)) |
y |
#s(literal 3 binary64) |
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 #s(literal 3 binary64) x) y) |
(-.f64 #s(literal 3 binary64) x) |
#s(literal 3 binary64) |
x |
y |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
#s(literal 1/3 binary64) |
| Outputs |
|---|
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/3 binary64)) y) (-.f64 x #s(literal 3 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (fma.f64 (-.f64 x #s(literal 4 binary64)) x #s(literal 3 binary64)) y) |
(/.f64 (-.f64 #s(literal 3 binary64) x) y) |
(-.f64 #s(literal 3 binary64) x) |
#s(literal 3 binary64) |
x |
y |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) |
(*.f64 x x) |
x |
(*.f64 y #s(literal 3 binary64)) |
y |
#s(literal 3 binary64) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) |
(*.f64 (-.f64 x #s(literal 4 binary64)) x) |
(-.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
(*.f64 y #s(literal 3 binary64)) |
y |
#s(literal 3 binary64) |
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/3 binary64)) y) (-.f64 x #s(literal 3 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (fma.f64 (-.f64 x #s(literal 4 binary64)) x #s(literal 3 binary64)) y) |
(/.f64 (-.f64 #s(literal 3 binary64) x) y) |
(-.f64 #s(literal 3 binary64) x) |
#s(literal 3 binary64) |
x |
y |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
#s(literal 1/3 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.00390625 | (/.f64 (-.f64 #s(literal 3 binary64) x) y) | |
| accuracy | 0.0703125 | (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.2421875 | (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) | |
| accuracy | 0 | (*.f64 y #s(literal 3 binary64)) | |
| accuracy | 0.00390625 | (*.f64 (-.f64 x #s(literal 4 binary64)) x) | |
| accuracy | 4.42277018443158 | (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64))) | |
| accuracy | 32.076875370339344 | #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) | |
| accuracy | 0 | (*.f64 y #s(literal 3 binary64)) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 4.42277018443158 | (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) | |
| accuracy | 32.43866524990224 | #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) y) | |
| accuracy | 30.102281234811315 | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.00390625 | (/.f64 (-.f64 #s(literal 3 binary64) x) y) | |
| accuracy | 0.0703125 | (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.18359375 | (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) |
| 58.0ms | 256× | 0 | valid |
Compiled 149 to 21 computations (85.9% saved)
ival-div: 24.0ms (58.4% of total)ival-mult: 8.0ms (19.5% of total)ival-sub: 4.0ms (9.7% of total)const: 4.0ms (9.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (patch (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) (patch (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 #s(literal 3 binary64) x) y) (patch (/.f64 (-.f64 #s(literal 3 binary64) x) y) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 3 binary64) x) (patch (-.f64 #s(literal 3 binary64) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (patch #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (patch #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 x #s(literal 4 binary64)) x) (patch (*.f64 (-.f64 x #s(literal 4 binary64)) x) #<representation binary64>) () ()) |
#s(alt (-.f64 x #s(literal 4 binary64)) (patch (-.f64 x #s(literal 4 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) (patch (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (patch (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (patch (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (patch (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (patch (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (- 1 x) (- 3 x)) y) (taylor 0 y) (#s(alt (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) (patch (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (- 1 x) (- 3 x)) y) (taylor 0 y) (#s(alt (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) (patch (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (- 1 x) (- 3 x)) y) (taylor 0 y) (#s(alt (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) (patch (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (- 1 x) (- 3 x)) y) (taylor 0 y) (#s(alt (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) (patch (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 3 x) y) (taylor 0 y) (#s(alt (/.f64 (-.f64 #s(literal 3 binary64) x) y) (patch (/.f64 (-.f64 #s(literal 3 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 3 x) y) (taylor 0 y) (#s(alt (/.f64 (-.f64 #s(literal 3 binary64) x) y) (patch (/.f64 (-.f64 #s(literal 3 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 3 x) y) (taylor 0 y) (#s(alt (/.f64 (-.f64 #s(literal 3 binary64) x) y) (patch (/.f64 (-.f64 #s(literal 3 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 3 x) y) (taylor 0 y) (#s(alt (/.f64 (-.f64 #s(literal 3 binary64) x) y) (patch (/.f64 (-.f64 #s(literal 3 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) (patch (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) (patch (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) (patch (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) (patch (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor inf y) (#s(alt (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (patch (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor inf y) (#s(alt (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (patch (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor inf y) (#s(alt (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (patch (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor inf y) (#s(alt (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (patch (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (- 1 x) (- 3 x)) y) (taylor inf y) (#s(alt (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) (patch (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (- 1 x) (- 3 x)) y) (taylor inf y) (#s(alt (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) (patch (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) (patch (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | ((/ (* (/ (- 3 x) y) (- 1 x)) 3) (* (/ (- 3 x) y) (- 1 x)) (/ (- 3 x) y) (- 3 x) (/ (* (- 1 x) (- 3 x)) (* y 3)) (/ 1 y) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (- 1 x) (- 3 x)) (* x x) (* y 3) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (- 1 x) (- 3 x)) (* (- x 4) x) (- x 4) (* (* (/ (- 3 x) y) (- 1 x)) 1/3) (- 1 x)) |
| 2.0ms | y | @ | -inf | ((/ (* (/ (- 3 x) y) (- 1 x)) 3) (* (/ (- 3 x) y) (- 1 x)) (/ (- 3 x) y) (- 3 x) (/ (* (- 1 x) (- 3 x)) (* y 3)) (/ 1 y) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (- 1 x) (- 3 x)) (* x x) (* y 3) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (- 1 x) (- 3 x)) (* (- x 4) x) (- x 4) (* (* (/ (- 3 x) y) (- 1 x)) 1/3) (- 1 x)) |
| 1.0ms | y | @ | 0 | ((/ (* (/ (- 3 x) y) (- 1 x)) 3) (* (/ (- 3 x) y) (- 1 x)) (/ (- 3 x) y) (- 3 x) (/ (* (- 1 x) (- 3 x)) (* y 3)) (/ 1 y) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (- 1 x) (- 3 x)) (* x x) (* y 3) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (- 1 x) (- 3 x)) (* (- x 4) x) (- x 4) (* (* (/ (- 3 x) y) (- 1 x)) 1/3) (- 1 x)) |
| 1.0ms | x | @ | -inf | ((/ (* (/ (- 3 x) y) (- 1 x)) 3) (* (/ (- 3 x) y) (- 1 x)) (/ (- 3 x) y) (- 3 x) (/ (* (- 1 x) (- 3 x)) (* y 3)) (/ 1 y) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (- 1 x) (- 3 x)) (* x x) (* y 3) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (- 1 x) (- 3 x)) (* (- x 4) x) (- x 4) (* (* (/ (- 3 x) y) (- 1 x)) 1/3) (- 1 x)) |
| 1.0ms | y | @ | inf | ((/ (* (/ (- 3 x) y) (- 1 x)) 3) (* (/ (- 3 x) y) (- 1 x)) (/ (- 3 x) y) (- 3 x) (/ (* (- 1 x) (- 3 x)) (* y 3)) (/ 1 y) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (- 1 x) (- 3 x)) (* x x) (* y 3) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (- 1 x) (- 3 x)) (* (- x 4) x) (- x 4) (* (* (/ (- 3 x) y) (- 1 x)) 1/3) (- 1 x)) |
| 1× | egg-herbie |
| 7 646× | lower-fma.f64 |
| 7 646× | lower-fma.f32 |
| 3 728× | lower-*.f64 |
| 3 728× | lower-*.f32 |
| 1 414× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 112 | 2104 |
| 1 | 319 | 2104 |
| 2 | 818 | 2080 |
| 3 | 2387 | 1980 |
| 4 | 6828 | 1980 |
| 0 | 8209 | 1824 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/ (* (- 1 x) (- 3 x)) y) |
(/ (* (- 1 x) (- 3 x)) y) |
(/ (* (- 1 x) (- 3 x)) y) |
(/ (* (- 1 x) (- 3 x)) y) |
(/ (- 3 x) y) |
(/ (- 3 x) y) |
(/ (- 3 x) y) |
(/ (- 3 x) y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/ (* (- 1 x) (- 3 x)) y) |
(/ (* (- 1 x) (- 3 x)) y) |
(/ (* (- 1 x) (- 3 x)) y) |
(/ (* (- 1 x) (- 3 x)) y) |
(/ (- 3 x) y) |
(/ (- 3 x) y) |
(/ (- 3 x) y) |
(/ (- 3 x) y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/ (* (- 1 x) (- 3 x)) y) |
(/ (* (- 1 x) (- 3 x)) y) |
(/ (* (- 1 x) (- 3 x)) y) |
(/ (* (- 1 x) (- 3 x)) y) |
(/ (- 3 x) y) |
(/ (- 3 x) y) |
(/ (- 3 x) y) |
(/ (- 3 x) y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/ 1 y) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(/ 3 y) |
(+ (* -4 (/ x y)) (* 3 (/ 1 y))) |
(+ (* x (- (/ x y) (* 4 (/ 1 y)))) (* 3 (/ 1 y))) |
(+ (* x (- (/ x y) (* 4 (/ 1 y)))) (* 3 (/ 1 y))) |
(/ 3 y) |
(+ (* -1 (/ x y)) (* 3 (/ 1 y))) |
(+ (* -1 (/ x y)) (* 3 (/ 1 y))) |
(+ (* -1 (/ x y)) (* 3 (/ 1 y))) |
3 |
(+ 3 (* -1 x)) |
(+ 3 (* -1 x)) |
(+ 3 (* -1 x)) |
(/ 1 y) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(/ 1 y) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
3 |
(+ 3 (* -4 x)) |
(+ 3 (* x (- x 4))) |
(+ 3 (* x (- x 4))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(/ 1 y) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
3 |
(+ 3 (* -4 x)) |
(+ 3 (* x (- x 4))) |
(+ 3 (* x (- x 4))) |
(* -4 x) |
(* x (- x 4)) |
(* x (- x 4)) |
(* x (- x 4)) |
-4 |
(- x 4) |
(- x 4) |
(- x 4) |
(/ 1 y) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(/ (pow x 2) y) |
(* (pow x 2) (- (/ 1 y) (* 4 (/ 1 (* x y))))) |
(* (pow x 2) (- (+ (/ 1 y) (/ 3 (* (pow x 2) y))) (/ 4 (* x y)))) |
(* (pow x 2) (- (+ (/ 1 y) (/ 3 (* (pow x 2) y))) (/ 4 (* x y)))) |
(* -1 (/ x y)) |
(* x (- (* 3 (/ 1 (* x y))) (/ 1 y))) |
(* x (- (* 3 (/ 1 (* x y))) (/ 1 y))) |
(* x (- (* 3 (/ 1 (* x y))) (/ 1 y))) |
(* -1 x) |
(* x (- (* 3 (/ 1 x)) 1)) |
(* x (- (* 3 (/ 1 x)) 1)) |
(* x (- (* 3 (/ 1 x)) 1)) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(pow x 2) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x)))) |
(* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x)))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(pow x 2) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x)))) |
(* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x)))) |
(pow x 2) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
x |
(* x (- 1 (* 4 (/ 1 x)))) |
(* x (- 1 (* 4 (/ 1 x)))) |
(* x (- 1 (* 4 (/ 1 x)))) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(/ (pow x 2) y) |
(* (pow x 2) (- (/ 1 y) (* 4 (/ 1 (* x y))))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 3 (/ 1 (* x y)))) x)) (/ 1 y))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 3 (/ 1 (* x y)))) x)) (/ 1 y))) |
(* -1 (/ x y)) |
(* -1 (* x (- (/ 1 y) (* 3 (/ 1 (* x y)))))) |
(* -1 (* x (- (/ 1 y) (* 3 (/ 1 (* x y)))))) |
(* -1 (* x (- (/ 1 y) (* 3 (/ 1 (* x y)))))) |
(* -1 x) |
(* -1 (* x (- 1 (* 3 (/ 1 x))))) |
(* -1 (* x (- 1 (* 3 (/ 1 x))))) |
(* -1 (* x (- 1 (* 3 (/ 1 x))))) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(pow x 2) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(pow x 2) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) |
(pow x 2) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
x |
(* -1 (* x (- (* 4 (/ 1 x)) 1))) |
(* -1 (* x (- (* 4 (/ 1 x)) 1))) |
(* -1 (* x (- (* 4 (/ 1 x)) 1))) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
| Outputs |
|---|
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(/ (* (- 1 x) (- 3 x)) y) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 3 binary64) x)) |
(/ (* (- 1 x) (- 3 x)) y) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 3 binary64) x)) |
(/ (* (- 1 x) (- 3 x)) y) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 3 binary64) x)) |
(/ (* (- 1 x) (- 3 x)) y) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 3 binary64) x)) |
(/ (- 3 x) y) |
(/.f64 (-.f64 #s(literal 3 binary64) x) y) |
(/ (- 3 x) y) |
(/.f64 (-.f64 #s(literal 3 binary64) x) y) |
(/ (- 3 x) y) |
(/.f64 (-.f64 #s(literal 3 binary64) x) y) |
(/ (- 3 x) y) |
(/.f64 (-.f64 #s(literal 3 binary64) x) y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
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(fma.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(fma.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(*.f64 (-.f64 x #s(literal 4 binary64)) x) |
(* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x)))) |
(fma.f64 (-.f64 x #s(literal 4 binary64)) x #s(literal 3 binary64)) |
(* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x)))) |
(fma.f64 (-.f64 x #s(literal 4 binary64)) x #s(literal 3 binary64)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(fma.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(fma.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(*.f64 (-.f64 x #s(literal 4 binary64)) x) |
(* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x)))) |
(fma.f64 (-.f64 x #s(literal 4 binary64)) x #s(literal 3 binary64)) |
(* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x)))) |
(fma.f64 (-.f64 x #s(literal 4 binary64)) x #s(literal 3 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(*.f64 (-.f64 x #s(literal 4 binary64)) x) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(*.f64 (-.f64 x #s(literal 4 binary64)) x) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(*.f64 (-.f64 x #s(literal 4 binary64)) x) |
x |
(* x (- 1 (* 4 (/ 1 x)))) |
(-.f64 x #s(literal 4 binary64)) |
(* x (- 1 (* 4 (/ 1 x)))) |
(-.f64 x #s(literal 4 binary64)) |
(* x (- 1 (* 4 (/ 1 x)))) |
(-.f64 x #s(literal 4 binary64)) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(fma.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(fma.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(fma.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(fma.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(* (pow x 2) (- (/ 1 y) (* 4 (/ 1 (* x y))))) |
(*.f64 (-.f64 x #s(literal 4 binary64)) (/.f64 x y)) |
(* (pow x 2) (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 3 (/ 1 (* x y)))) x)) (/ 1 y))) |
(fma.f64 (-.f64 x #s(literal 4 binary64)) (/.f64 x y) (/.f64 #s(literal 3 binary64) y)) |
(* (pow x 2) (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 3 (/ 1 (* x y)))) x)) (/ 1 y))) |
(fma.f64 (-.f64 x #s(literal 4 binary64)) (/.f64 x y) (/.f64 #s(literal 3 binary64) y)) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (* x (- (/ 1 y) (* 3 (/ 1 (* x y)))))) |
(/.f64 (-.f64 #s(literal 3 binary64) x) y) |
(* -1 (* x (- (/ 1 y) (* 3 (/ 1 (* x y)))))) |
(/.f64 (-.f64 #s(literal 3 binary64) x) y) |
(* -1 (* x (- (/ 1 y) (* 3 (/ 1 (* x y)))))) |
(/.f64 (-.f64 #s(literal 3 binary64) x) y) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (- 1 (* 3 (/ 1 x))))) |
(-.f64 #s(literal 3 binary64) x) |
(* -1 (* x (- 1 (* 3 (/ 1 x))))) |
(-.f64 #s(literal 3 binary64) x) |
(* -1 (* x (- 1 (* 3 (/ 1 x))))) |
(-.f64 #s(literal 3 binary64) x) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(fma.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(fma.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(fma.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(fma.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(*.f64 (-.f64 x #s(literal 4 binary64)) x) |
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) |
(fma.f64 (-.f64 x #s(literal 4 binary64)) x #s(literal 3 binary64)) |
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) |
(fma.f64 (-.f64 x #s(literal 4 binary64)) x #s(literal 3 binary64)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(fma.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(fma.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(*.f64 (-.f64 x #s(literal 4 binary64)) x) |
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) |
(fma.f64 (-.f64 x #s(literal 4 binary64)) x #s(literal 3 binary64)) |
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) |
(fma.f64 (-.f64 x #s(literal 4 binary64)) x #s(literal 3 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(*.f64 (-.f64 x #s(literal 4 binary64)) x) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(*.f64 (-.f64 x #s(literal 4 binary64)) x) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(*.f64 (-.f64 x #s(literal 4 binary64)) x) |
x |
(* -1 (* x (- (* 4 (/ 1 x)) 1))) |
(-.f64 x #s(literal 4 binary64)) |
(* -1 (* x (- (* 4 (/ 1 x)) 1))) |
(-.f64 x #s(literal 4 binary64)) |
(* -1 (* x (- (* 4 (/ 1 x)) 1))) |
(-.f64 x #s(literal 4 binary64)) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(fma.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(fma.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
| 5 324× | lower-/.f32 |
| 5 314× | lower-/.f64 |
| 4 738× | lower-*.f32 |
| 4 728× | lower-*.f64 |
| 3 418× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 130 |
| 0 | 39 | 130 |
| 1 | 145 | 130 |
| 2 | 895 | 130 |
| 0 | 8461 | 130 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) |
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 #s(literal 3 binary64) x) y) |
(-.f64 #s(literal 3 binary64) x) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) |
(*.f64 x x) |
(*.f64 y #s(literal 3 binary64)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) |
(*.f64 (-.f64 x #s(literal 4 binary64)) x) |
(-.f64 x #s(literal 4 binary64)) |
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) |
(-.f64 #s(literal 1 binary64) x) |
| Outputs |
|---|
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Compiled 41 097 to 3 825 computations (90.7% saved)
18 alts after pruning (15 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 334 | 10 | 2 344 |
| Fresh | 5 | 5 | 10 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 341 | 18 | 2 359 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.6% | (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) |
| 42.9% | (/.f64 (*.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) #s(literal 1/3 binary64)) y) | |
| 49.5% | (/.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) x)) #s(literal 3 binary64)) | |
| 93.1% | (/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 (-.f64 x #s(literal 4 binary64)) x #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) | |
| 57.1% | (/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) | |
| ✓ | 43.4% | (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64))) |
| ✓ | 42.9% | (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) |
| 52.8% | (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) | |
| 43.5% | (*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) y) #s(literal 1/3 binary64)) | |
| 99.5% | (*.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 (-.f64 #s(literal 3 binary64) x) (/.f64 #s(literal -1/3 binary64) y))) | |
| 99.6% | (*.f64 (*.f64 (-.f64 x #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 1 binary64) x))) #s(literal 1/3 binary64)) | |
| 52.7% | (*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (/.f64 #s(literal 3 binary64) y)) #s(literal 1/3 binary64)) | |
| 49.5% | (*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) x)) #s(literal 1/3 binary64)) | |
| ▶ | 99.5% | #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))) |
| ▶ | 50.0% | #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) |
| ✓ | 53.0% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
| ▶ | 49.5% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)) |
| ▶ | 52.7% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) y))) |
Compiled 292 to 267 computations (8.6% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) | |
| cost-diff | 0 | #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))) | |
| cost-diff | 128 | (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) | |
| cost-diff | 0 | (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) | |
| cost-diff | 0 | #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x) | |
| cost-diff | 0 | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)) | |
| cost-diff | 0 | (/.f64 #s(literal 1/3 binary64) y) | |
| cost-diff | 0 | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) y))) | |
| cost-diff | 320 | (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) y)) | |
| cost-diff | 0 | (/.f64 y (-.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (-.f64 #s(literal 3 binary64) x) | |
| cost-diff | 128 | (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) | |
| cost-diff | 512 | (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) |
| 13 490× | lower-fma.f32 |
| 13 486× | lower-fma.f64 |
| 3 486× | lower-*.f32 |
| 3 474× | lower-*.f64 |
| 1 554× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 187 |
| 0 | 52 | 184 |
| 1 | 105 | 184 |
| 2 | 212 | 184 |
| 3 | 453 | 184 |
| 4 | 1449 | 178 |
| 5 | 5399 | 177 |
| 0 | 8126 | 170 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) |
(-.f64 #s(literal 3 binary64) x) |
#s(literal 3 binary64) |
x |
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) |
(/.f64 y (-.f64 #s(literal 1 binary64) x)) |
y |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) y))) |
(*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) y)) |
#s(literal 3 binary64) |
(/.f64 #s(literal 1/3 binary64) y) |
#s(literal 1/3 binary64) |
y |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)) |
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x) |
(*.f64 (/.f64 x y) #s(literal 1/3 binary64)) |
(/.f64 x y) |
x |
y |
#s(literal 1/3 binary64) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) |
(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) |
(/.f64 x y) |
x |
y |
(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) |
#s(literal 1/3 binary64) |
#s(literal -4/3 binary64) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) |
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) |
#s(literal -1/3 binary64) |
x |
#s(literal 1/3 binary64) |
y |
(-.f64 #s(literal 3 binary64) x) |
#s(literal 3 binary64) |
| Outputs |
|---|
(/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x #s(literal 1 binary64)) y) |
(-.f64 #s(literal 3 binary64) x) |
#s(literal 3 binary64) |
x |
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) |
(/.f64 y (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64))) |
(/.f64 y (-.f64 #s(literal 1 binary64) x)) |
y |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) y))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 3 binary64) |
(/.f64 #s(literal 1/3 binary64) y) |
#s(literal 1/3 binary64) |
y |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64))) |
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 x y) #s(literal 1/3 binary64)) |
(/.f64 x y) |
x |
y |
#s(literal 1/3 binary64) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x)) |
(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x) |
(/.f64 x y) |
x |
y |
(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) |
#s(literal 1/3 binary64) |
#s(literal -4/3 binary64) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x #s(literal 1 binary64)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x #s(literal 1 binary64)) y) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) |
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) |
#s(literal -1/3 binary64) |
x |
#s(literal 1/3 binary64) |
y |
(-.f64 #s(literal 3 binary64) x) |
#s(literal 3 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))) | |
| accuracy | 0.203125 | (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) | |
| accuracy | 0.21484375 | (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) | |
| accuracy | 0.28515625 | (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0.20703125 | (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) | |
| accuracy | 0.25390625 | (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) | |
| accuracy | 31.913667057198243 | #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0.13671875 | (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x) | |
| accuracy | 0.265625 | (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) | |
| accuracy | 32.23272946154456 | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)) | |
| accuracy | 0.23828125 | (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) y)) | |
| accuracy | 0.3671875 | (/.f64 #s(literal 1/3 binary64) y) | |
| accuracy | 30.102281234811315 | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) y))) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.0078125 | (/.f64 y (-.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.20703125 | (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) | |
| accuracy | 0.21484375 | (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) |
| 83.0ms | 237× | 0 | valid |
| 6.0ms | 11× | 2 | valid |
| 4.0ms | 8× | 1 | valid |
Compiled 160 to 32 computations (80% saved)
ival-mult: 30.0ms (41.1% of total)ival-div: 20.0ms (27.4% of total)const: 10.0ms (13.7% of total)ival-sub: 9.0ms (12.3% of total)ival-add: 2.0ms (2.7% of total)adjust: 1.0ms (1.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (patch (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (patch (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 3 binary64) x) (patch (-.f64 #s(literal 3 binary64) x) #<representation binary64>) () ()) |
#s(alt (/.f64 y (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 y (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) y)) (patch (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) y)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) y))) (patch #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) y))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1/3 binary64) y) (patch (/.f64 #s(literal 1/3 binary64) y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)) (patch #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x) (patch (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) (patch #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) (patch (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (patch (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) (patch (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))) (patch #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (patch (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) (patch (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (patch (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (patch (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (patch (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) (taylor -inf x) (#s(alt #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) (patch #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) (taylor -inf x) (#s(alt #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) (patch #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) (taylor -inf x) (#s(alt #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) (patch #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (pow x 2) y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) (patch (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) (patch (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) (patch (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) (patch (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 x) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (patch (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 4/3 (/ 1 x)) 1/3))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (patch (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 4/3 (/ 1 x)) 1/3))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (patch (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 4/3 (/ 1 x)) 1/3))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (patch (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (pow x 2) y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) (patch (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) (patch (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) (patch (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) (patch (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (pow x 2) y)) (taylor -inf x) (#s(alt #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))) (patch #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) (taylor -inf x) (#s(alt #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))) (patch #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) (taylor -inf x) (#s(alt #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))) (patch #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) (taylor -inf x) (#s(alt #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))) (patch #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (patch (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 1/3 (/ 1 y)) (* 1/3 (/ 1 (* x y)))))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (patch (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 1/3 (/ 1 y)) (* 1/3 (/ 1 (* x y)))))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (patch (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 1/3 (/ 1 y)) (* 1/3 (/ 1 (* x y)))))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (patch (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) (patch (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1/3 (* 1/3 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) (patch (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1/3 (* 1/3 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) (patch (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1/3 (* 1/3 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) (patch (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | y | @ | 0 | ((/ (- 3 x) (* (/ y (- 1 x)) 3)) (* (/ y (- 1 x)) 3) (- 3 x) (/ y (- 1 x)) (* 3 (/ 1/3 y)) (/ (* (- 1 x) (- 3 x)) (* y 3)) (/ 1/3 y) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (* (/ x y) 1/3) x) (* (/ x y) 1/3) (/ x y) (/ (* (/ (- 3 x) y) (- 1 x)) 3) (* (/ x y) (+ (* x 1/3) -4/3)) (+ (* x 1/3) -4/3) (* (/ (+ (* -1/3 x) 1/3) y) (- 3 x)) (/ (* (/ (- 3 x) y) (- 1 x)) 3) (/ (+ (* -1/3 x) 1/3) y) (+ (* -1/3 x) 1/3) (- 1 x)) |
| 7.0ms | y | @ | inf | ((/ (- 3 x) (* (/ y (- 1 x)) 3)) (* (/ y (- 1 x)) 3) (- 3 x) (/ y (- 1 x)) (* 3 (/ 1/3 y)) (/ (* (- 1 x) (- 3 x)) (* y 3)) (/ 1/3 y) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (* (/ x y) 1/3) x) (* (/ x y) 1/3) (/ x y) (/ (* (/ (- 3 x) y) (- 1 x)) 3) (* (/ x y) (+ (* x 1/3) -4/3)) (+ (* x 1/3) -4/3) (* (/ (+ (* -1/3 x) 1/3) y) (- 3 x)) (/ (* (/ (- 3 x) y) (- 1 x)) 3) (/ (+ (* -1/3 x) 1/3) y) (+ (* -1/3 x) 1/3) (- 1 x)) |
| 7.0ms | y | @ | -inf | ((/ (- 3 x) (* (/ y (- 1 x)) 3)) (* (/ y (- 1 x)) 3) (- 3 x) (/ y (- 1 x)) (* 3 (/ 1/3 y)) (/ (* (- 1 x) (- 3 x)) (* y 3)) (/ 1/3 y) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (* (/ x y) 1/3) x) (* (/ x y) 1/3) (/ x y) (/ (* (/ (- 3 x) y) (- 1 x)) 3) (* (/ x y) (+ (* x 1/3) -4/3)) (+ (* x 1/3) -4/3) (* (/ (+ (* -1/3 x) 1/3) y) (- 3 x)) (/ (* (/ (- 3 x) y) (- 1 x)) 3) (/ (+ (* -1/3 x) 1/3) y) (+ (* -1/3 x) 1/3) (- 1 x)) |
| 4.0ms | x | @ | -inf | ((/ (- 3 x) (* (/ y (- 1 x)) 3)) (* (/ y (- 1 x)) 3) (- 3 x) (/ y (- 1 x)) (* 3 (/ 1/3 y)) (/ (* (- 1 x) (- 3 x)) (* y 3)) (/ 1/3 y) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (* (/ x y) 1/3) x) (* (/ x y) 1/3) (/ x y) (/ (* (/ (- 3 x) y) (- 1 x)) 3) (* (/ x y) (+ (* x 1/3) -4/3)) (+ (* x 1/3) -4/3) (* (/ (+ (* -1/3 x) 1/3) y) (- 3 x)) (/ (* (/ (- 3 x) y) (- 1 x)) 3) (/ (+ (* -1/3 x) 1/3) y) (+ (* -1/3 x) 1/3) (- 1 x)) |
| 3.0ms | x | @ | inf | ((/ (- 3 x) (* (/ y (- 1 x)) 3)) (* (/ y (- 1 x)) 3) (- 3 x) (/ y (- 1 x)) (* 3 (/ 1/3 y)) (/ (* (- 1 x) (- 3 x)) (* y 3)) (/ 1/3 y) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (* (/ x y) 1/3) x) (* (/ x y) 1/3) (/ x y) (/ (* (/ (- 3 x) y) (- 1 x)) 3) (* (/ x y) (+ (* x 1/3) -4/3)) (+ (* x 1/3) -4/3) (* (/ (+ (* -1/3 x) 1/3) y) (- 3 x)) (/ (* (/ (- 3 x) y) (- 1 x)) 3) (/ (+ (* -1/3 x) 1/3) y) (+ (* -1/3 x) 1/3) (- 1 x)) |
| 1× | egg-herbie |
| 12 062× | lower-fma.f64 |
| 12 062× | lower-fma.f32 |
| 4 626× | lower-*.f64 |
| 4 626× | lower-*.f32 |
| 2 424× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 168 | 3199 |
| 1 | 479 | 3156 |
| 2 | 1279 | 3086 |
| 3 | 3866 | 3074 |
| 0 | 8193 | 2908 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 3 (/ y (- 1 x))) |
(* 3 (/ y (- 1 x))) |
(* 3 (/ y (- 1 x))) |
(* 3 (/ y (- 1 x))) |
(/ y (- 1 x)) |
(/ y (- 1 x)) |
(/ y (- 1 x)) |
(/ y (- 1 x)) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/ 1/3 y) |
(/ 1/3 y) |
(/ 1/3 y) |
(/ 1/3 y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y) |
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y) |
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y) |
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/ (+ 1/3 (* -1/3 x)) y) |
(/ (+ 1/3 (* -1/3 x)) y) |
(/ (+ 1/3 (* -1/3 x)) y) |
(/ (+ 1/3 (* -1/3 x)) y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 3 (/ y (- 1 x))) |
(* 3 (/ y (- 1 x))) |
(* 3 (/ y (- 1 x))) |
(* 3 (/ y (- 1 x))) |
(/ y (- 1 x)) |
(/ y (- 1 x)) |
(/ y (- 1 x)) |
(/ y (- 1 x)) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/ 1/3 y) |
(/ 1/3 y) |
(/ 1/3 y) |
(/ 1/3 y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y) |
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y) |
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y) |
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/ (+ 1/3 (* -1/3 x)) y) |
(/ (+ 1/3 (* -1/3 x)) y) |
(/ (+ 1/3 (* -1/3 x)) y) |
(/ (+ 1/3 (* -1/3 x)) y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 3 (/ y (- 1 x))) |
(* 3 (/ y (- 1 x))) |
(* 3 (/ y (- 1 x))) |
(* 3 (/ y (- 1 x))) |
(/ y (- 1 x)) |
(/ y (- 1 x)) |
(/ y (- 1 x)) |
(/ y (- 1 x)) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/ 1/3 y) |
(/ 1/3 y) |
(/ 1/3 y) |
(/ 1/3 y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y) |
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y) |
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y) |
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/ (+ 1/3 (* -1/3 x)) y) |
(/ (+ 1/3 (* -1/3 x)) y) |
(/ (+ 1/3 (* -1/3 x)) y) |
(/ (+ 1/3 (* -1/3 x)) y) |
(/ 1 y) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(* 3 y) |
(+ (* 3 y) (* 3 (* x y))) |
(+ (* 3 y) (* x (+ (* 3 y) (* 3 (* x y))))) |
(+ (* 3 y) (* x (+ (* 3 y) (* x (+ (* 3 y) (* 3 (* x y))))))) |
3 |
(+ 3 (* -1 x)) |
(+ 3 (* -1 x)) |
(+ 3 (* -1 x)) |
y |
(+ y (* x y)) |
(+ y (* x (- (* x y) (* -1 y)))) |
(+ y (* x (- (* x (- (* x y) (* -1 y))) (* -1 y)))) |
(/ 1 y) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(/ 1 y) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ 1 y) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(* -4/3 (/ x y)) |
(* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) |
(* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) |
(* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) |
-4/3 |
(- (* 1/3 x) 4/3) |
(- (* 1/3 x) 4/3) |
(- (* 1/3 x) 4/3) |
(/ 1 y) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(/ 1 y) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(/ 1/3 y) |
(+ (* -1/3 (/ x y)) (* 1/3 (/ 1 y))) |
(+ (* -1/3 (/ x y)) (* 1/3 (/ 1 y))) |
(+ (* -1/3 (/ x y)) (* 1/3 (/ 1 y))) |
1/3 |
(+ 1/3 (* -1/3 x)) |
(+ 1/3 (* -1/3 x)) |
(+ 1/3 (* -1/3 x)) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* -3 (/ y x)) |
(/ (+ (* -3 y) (* -3 (/ y x))) x) |
(/ (+ (* -3 y) (+ (* -3 (/ y x)) (* -3 (/ y (pow x 2))))) x) |
(/ (+ (* -3 y) (+ (* -3 (/ y x)) (+ (* -3 (/ y (pow x 2))) (* -3 (/ y (pow x 3)))))) x) |
(* -1 x) |
(* x (- (* 3 (/ 1 x)) 1)) |
(* x (- (* 3 (/ 1 x)) 1)) |
(* x (- (* 3 (/ 1 x)) 1)) |
(* -1 (/ y x)) |
(/ (+ (* -1 y) (* -1 (/ y x))) x) |
(/ (- (+ (* -1 y) (* -1 (/ y (pow x 2)))) (/ y x)) x) |
(/ (- (+ (* -1 y) (* -1 (/ y (pow x 3)))) (+ (/ y x) (/ y (pow x 2)))) x) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* 1/3 x) |
(* x (- 1/3 (* 4/3 (/ 1 x)))) |
(* x (- 1/3 (* 4/3 (/ 1 x)))) |
(* x (- 1/3 (* 4/3 (/ 1 x)))) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* -1/3 (/ x y)) |
(* x (- (* 1/3 (/ 1 (* x y))) (* 1/3 (/ 1 y)))) |
(* x (- (* 1/3 (/ 1 (* x y))) (* 1/3 (/ 1 y)))) |
(* x (- (* 1/3 (/ 1 (* x y))) (* 1/3 (/ 1 y)))) |
(* -1/3 x) |
(* x (- (* 1/3 (/ 1 x)) 1/3)) |
(* x (- (* 1/3 (/ 1 x)) 1/3)) |
(* x (- (* 1/3 (/ 1 x)) 1/3)) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* -3 (/ y x)) |
(* -1 (/ (+ (* 3 y) (* 3 (/ y x))) x)) |
(* -1 (/ (+ (* -1 (/ (+ (* -3 y) (* -3 (/ y x))) x)) (* 3 y)) x)) |
(* -1 (/ (+ (* -1 (/ (+ (* -3 y) (* -1 (/ (+ (* 3 y) (* 3 (/ y x))) x))) x)) (* 3 y)) x)) |
(* -1 x) |
(* -1 (* x (- 1 (* 3 (/ 1 x))))) |
(* -1 (* x (- 1 (* 3 (/ 1 x))))) |
(* -1 (* x (- 1 (* 3 (/ 1 x))))) |
(* -1 (/ y x)) |
(* -1 (/ (+ y (/ y x)) x)) |
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ y x)) y) x))) x)) |
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (/ y x) (* -1 y)) x)) y) x))) x)) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* 1/3 x) |
(* -1 (* x (- (* 4/3 (/ 1 x)) 1/3))) |
(* -1 (* x (- (* 4/3 (/ 1 x)) 1/3))) |
(* -1 (* x (- (* 4/3 (/ 1 x)) 1/3))) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* -1/3 (/ x y)) |
(* -1 (* x (- (* 1/3 (/ 1 y)) (* 1/3 (/ 1 (* x y)))))) |
(* -1 (* x (- (* 1/3 (/ 1 y)) (* 1/3 (/ 1 (* x y)))))) |
(* -1 (* x (- (* 1/3 (/ 1 y)) (* 1/3 (/ 1 (* x y)))))) |
(* -1/3 x) |
(* -1 (* x (- 1/3 (* 1/3 (/ 1 x))))) |
(* -1 (* x (- 1/3 (* 1/3 (/ 1 x))))) |
(* -1 (* x (- 1/3 (* 1/3 (/ 1 x))))) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
| Outputs |
|---|
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(* 3 (/ y (- 1 x))) |
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) |
(* 3 (/ y (- 1 x))) |
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) |
(* 3 (/ y (- 1 x))) |
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) |
(* 3 (/ y (- 1 x))) |
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) |
(/ y (- 1 x)) |
(/.f64 y (-.f64 #s(literal 1 binary64) x)) |
(/ y (- 1 x)) |
(/.f64 y (-.f64 #s(literal 1 binary64) x)) |
(/ y (- 1 x)) |
(/.f64 y (-.f64 #s(literal 1 binary64) x)) |
(/ y (- 1 x)) |
(/.f64 y (-.f64 #s(literal 1 binary64) x)) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(/ 1/3 y) |
(/.f64 #s(literal 1/3 binary64) y) |
(/ 1/3 y) |
(/.f64 #s(literal 1/3 binary64) y) |
(/ 1/3 y) |
(/.f64 #s(literal 1/3 binary64) y) |
(/ 1/3 y) |
(/.f64 #s(literal 1/3 binary64) y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x) |
(* 1/3 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 1/3 binary64)) |
(* 1/3 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 1/3 binary64)) |
(* 1/3 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 1/3 binary64)) |
(* 1/3 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 1/3 binary64)) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x) |
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(/ (+ 1/3 (* -1/3 x)) y) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) |
(/ (+ 1/3 (* -1/3 x)) y) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) |
(/ (+ 1/3 (* -1/3 x)) y) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) |
(/ (+ 1/3 (* -1/3 x)) y) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(* 3 (/ y (- 1 x))) |
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) |
(* 3 (/ y (- 1 x))) |
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) |
(* 3 (/ y (- 1 x))) |
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) |
(* 3 (/ y (- 1 x))) |
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) |
(/ y (- 1 x)) |
(/.f64 y (-.f64 #s(literal 1 binary64) x)) |
(/ y (- 1 x)) |
(/.f64 y (-.f64 #s(literal 1 binary64) x)) |
(/ y (- 1 x)) |
(/.f64 y (-.f64 #s(literal 1 binary64) x)) |
(/ y (- 1 x)) |
(/.f64 y (-.f64 #s(literal 1 binary64) x)) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
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(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
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(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 4/3 binary64) x))) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) (/.f64 #s(literal -4/3 binary64) y)) x)) x) x) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) (/.f64 #s(literal -4/3 binary64) y)) x)) x) x) |
(* -1/3 (/ x y)) |
(*.f64 #s(literal -1/3 binary64) (/.f64 x y)) |
(* -1 (* x (- (* 1/3 (/ 1 y)) (* 1/3 (/ 1 (* x y)))))) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) |
(* -1 (* x (- (* 1/3 (/ 1 y)) (* 1/3 (/ 1 (* x y)))))) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) |
(* -1 (* x (- (* 1/3 (/ 1 y)) (* 1/3 (/ 1 (* x y)))))) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) |
(* -1/3 x) |
(*.f64 #s(literal -1/3 binary64) x) |
(* -1 (* x (- 1/3 (* 1/3 (/ 1 x))))) |
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) |
(* -1 (* x (- 1/3 (* 1/3 (/ 1 x))))) |
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) |
(* -1 (* x (- 1/3 (* 1/3 (/ 1 x))))) |
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
| 5 050× | lower-/.f32 |
| 5 040× | lower-/.f64 |
| 3 786× | lower-*.f32 |
| 3 774× | lower-*.f64 |
| 3 612× | lower-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 162 |
| 0 | 52 | 159 |
| 1 | 203 | 159 |
| 2 | 1485 | 152 |
| 0 | 8494 | 152 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) |
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) |
(-.f64 #s(literal 3 binary64) x) |
(/.f64 y (-.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) y)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) y))) |
(/.f64 #s(literal 1/3 binary64) y) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)) |
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x) |
(*.f64 (/.f64 x y) #s(literal 1/3 binary64)) |
(/.f64 x y) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) |
(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) |
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) |
(-.f64 #s(literal 1 binary64) x) |
| Outputs |
|---|
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Compiled 29 080 to 3 614 computations (87.6% saved)
22 alts after pruning (17 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 662 | 11 | 1 673 |
| Fresh | 4 | 6 | 10 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 2 | 3 |
| Total | 1 669 | 22 | 1 691 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.6% | (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) |
| 49.3% | (/.f64 (-.f64 #s(literal 3 binary64) x) #s(approx (* (/ y (- 1 x)) 3) (*.f64 (/.f64 y x) #s(literal -3 binary64)))) | |
| 56.7% | (/.f64 (-.f64 #s(literal 3 binary64) x) #s(approx (* (/ y (- 1 x)) 3) (*.f64 y #s(literal 3 binary64)))) | |
| 49.5% | (/.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) x)) #s(literal 3 binary64)) | |
| 57.1% | (/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) | |
| ✓ | 42.9% | (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) |
| 52.8% | (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) | |
| ▶ | 43.5% | (*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) y) #s(literal 1/3 binary64)) |
| 52.7% | (*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (/.f64 #s(literal 3 binary64) y)) #s(literal 1/3 binary64)) | |
| ▶ | 49.5% | (*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) x)) #s(literal 1/3 binary64)) |
| ▶ | 99.8% | #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) |
| 43.4% | #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (/.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x) y)) | |
| ▶ | 56.6% | #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))) |
| 49.5% | #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) (*.f64 x #s(literal 1/3 binary64))))) | |
| 8.6% | #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) #s(literal -4/3 binary64)))) | |
| 50.0% | #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y)) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) | |
| 50.0% | #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y))) | |
| ▶ | 8.6% | #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) |
| ✓ | 53.0% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
| 49.5% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x (*.f64 y #s(literal 3 binary64))) x)) | |
| ✓ | 49.5% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)) |
| ✓ | 52.7% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) y))) |
Compiled 329 to 303 computations (7.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (-.f64 x #s(literal 4 binary64)) x) | |
| cost-diff | 0 | #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) y) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) y) #s(literal 1/3 binary64)) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (*.f64 (/.f64 x y) x) | |
| cost-diff | 0 | #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) x)) #s(literal 1/3 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) y) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) | |
| cost-diff | 0 | #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))) | |
| cost-diff | 0 | (/.f64 #s(literal -4/3 binary64) y) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal -4/3 binary64) y) x) | |
| cost-diff | 0 | #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x)) | |
| cost-diff | 0 | #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) | |
| cost-diff | 0 | (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) | |
| cost-diff | 0 | (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) |
| 12 056× | lower-fma.f32 |
| 12 054× | lower-fma.f64 |
| 3 532× | lower-*.f32 |
| 3 518× | lower-*.f64 |
| 1 178× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 263 |
| 0 | 62 | 263 |
| 1 | 117 | 263 |
| 2 | 243 | 263 |
| 3 | 512 | 263 |
| 4 | 1430 | 260 |
| 5 | 5176 | 260 |
| 0 | 8146 | 254 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) |
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) |
#s(literal -1/3 binary64) |
x |
#s(literal 1 binary64) |
y |
(-.f64 #s(literal 1 binary64) x) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) |
#s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x)) |
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x) |
(/.f64 #s(literal -4/3 binary64) y) |
#s(literal -4/3 binary64) |
y |
x |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))) |
(*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(/.f64 #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) y) |
#s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) |
#s(literal 1/3 binary64) |
y |
(-.f64 #s(literal 3 binary64) x) |
#s(literal 3 binary64) |
x |
(*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) x)) #s(literal 1/3 binary64)) |
#s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) x)) |
(*.f64 (/.f64 x y) x) |
(/.f64 x y) |
x |
y |
#s(literal 1/3 binary64) |
(*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) y) #s(literal 1/3 binary64)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) y) |
#s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) |
(*.f64 (-.f64 x #s(literal 4 binary64)) x) |
(-.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
y |
#s(literal 1/3 binary64) |
| Outputs |
|---|
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/3 binary64)) y) (-.f64 x #s(literal 3 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/3 binary64)) y) (-.f64 x #s(literal 3 binary64))) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) |
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) |
#s(literal -1/3 binary64) |
x |
#s(literal 1 binary64) |
y |
(-.f64 #s(literal 1 binary64) x) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 x y) #s(literal -4/3 binary64)))) |
#s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x)) |
#s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 x y) #s(literal -4/3 binary64))) |
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x) |
(*.f64 (/.f64 x y) #s(literal -4/3 binary64)) |
(/.f64 #s(literal -4/3 binary64) y) |
#s(literal -4/3 binary64) |
y |
x |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))) |
(*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(/.f64 #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) y) |
#s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) |
#s(literal 1/3 binary64) |
y |
(-.f64 #s(literal 3 binary64) x) |
#s(literal 3 binary64) |
x |
(*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) x)) #s(literal 1/3 binary64)) |
#s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) x)) |
(*.f64 (/.f64 x y) x) |
(/.f64 x y) |
x |
y |
#s(literal 1/3 binary64) |
(*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) y) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) y) #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x))) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) y) |
#s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) |
(*.f64 (-.f64 x #s(literal 4 binary64)) x) |
(-.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
y |
#s(literal 1/3 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (*.f64 (-.f64 x #s(literal 4 binary64)) x) | |
| accuracy | 0.2421875 | (*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) y) #s(literal 1/3 binary64)) | |
| accuracy | 4.248950240621266 | (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) y) | |
| accuracy | 32.076875370339344 | #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0.1171875 | (*.f64 (/.f64 x y) x) | |
| accuracy | 0.2421875 | (*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) x)) #s(literal 1/3 binary64)) | |
| accuracy | 32.235689689258145 | #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) x)) | |
| accuracy | 0 | #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))) | |
| accuracy | 0.21484375 | (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) | |
| accuracy | 0.28515625 | (/.f64 #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) y) | |
| accuracy | 30.698503816577794 | #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) | |
| accuracy | 0.36328125 | (/.f64 #s(literal -4/3 binary64) y) | |
| accuracy | 0.43263852941536424 | (*.f64 (/.f64 #s(literal -4/3 binary64) y) x) | |
| accuracy | 27.538040997412253 | #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x)) | |
| accuracy | 31.913667057198243 | #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) | |
| accuracy | 0 | #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) | |
| accuracy | 0.07421875 | (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.08984375 | (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) | |
| accuracy | 0.1875 | (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) |
| 192.0ms | 256× | 0 | valid |
Compiled 185 to 38 computations (79.5% saved)
ival-div: 116.0ms (66.2% of total)ival-mult: 41.0ms (23.4% of total)const: 10.0ms (5.7% of total)ival-sub: 4.0ms (2.3% of total)ival-add: 3.0ms (1.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) (patch #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) (patch (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (patch (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) (patch #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x)) (patch #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal -4/3 binary64) y) x) (patch (*.f64 (/.f64 #s(literal -4/3 binary64) y) x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -4/3 binary64) y) (patch (/.f64 #s(literal -4/3 binary64) y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))) (patch #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) (patch (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) y) (patch (/.f64 #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) y) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) (patch #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) x)) #s(literal 1/3 binary64)) (patch (*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) x)) #s(literal 1/3 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) x)) (patch #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 x y) x) (patch (*.f64 (/.f64 x y) x) #<representation binary64>) () ()) |
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) y) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) y) #s(literal 1/3 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) y) (patch (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) y) #<representation binary64>) () ()) |
#s(alt #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (patch #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 x #s(literal 4 binary64)) x) (patch (*.f64 (-.f64 x #s(literal 4 binary64)) x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) (patch #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) (patch #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) (patch #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) (patch #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) (taylor 0 y) (#s(alt (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) (patch (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) (taylor 0 y) (#s(alt (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) (patch (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) (taylor 0 y) (#s(alt (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) (patch (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) (taylor 0 y) (#s(alt (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) (patch (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* -1/3 x)) y) (taylor 0 y) (#s(alt (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (patch (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* -1/3 x)) y) (taylor 0 y) (#s(alt (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (patch (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* -1/3 x)) y) (taylor 0 y) (#s(alt (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (patch (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* -1/3 x)) y) (taylor 0 y) (#s(alt (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (patch (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) (patch #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) (patch #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) (patch #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) (patch #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (* 1/3 x) 4/3)) y) (taylor 0 y) (#s(alt #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x)) (patch #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (* 1/3 x) 4/3)) y) (taylor 0 y) (#s(alt #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x)) (patch #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (* 1/3 x) 4/3)) y) (taylor 0 y) (#s(alt #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x)) (patch #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (* 1/3 x) 4/3)) y) (taylor 0 y) (#s(alt #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x)) (patch #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -4/3 (/ x y)) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal -4/3 binary64) y) x) (patch (*.f64 (/.f64 #s(literal -4/3 binary64) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -4/3 (/ x y)) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal -4/3 binary64) y) x) (patch (*.f64 (/.f64 #s(literal -4/3 binary64) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -4/3 (/ x y)) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal -4/3 binary64) y) x) (patch (*.f64 (/.f64 #s(literal -4/3 binary64) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -4/3 (/ x y)) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal -4/3 binary64) y) x) (patch (*.f64 (/.f64 #s(literal -4/3 binary64) y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -4/3 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -4/3 binary64) y) (patch (/.f64 #s(literal -4/3 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ -4/3 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -4/3 binary64) y) (patch (/.f64 #s(literal -4/3 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ -4/3 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -4/3 binary64) y) (patch (/.f64 #s(literal -4/3 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ -4/3 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -4/3 binary64) y) (patch (/.f64 #s(literal -4/3 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))) (patch #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))) (patch #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))) (patch #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))) (patch #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) (patch (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) (patch (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) (patch (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) (patch (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ()) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | y | @ | -inf | ((/ (- 3 x) (* (/ y (- 1 x)) 3)) (* (/ (+ (* -1/3 x) 1) y) (- 1 x)) (/ (+ (* -1/3 x) 1) y) (+ (* -1/3 x) 1) (/ (* (/ (- 3 x) y) (- 1 x)) 3) (* (/ x y) (+ (* x 1/3) -4/3)) (* (/ -4/3 y) x) (/ -4/3 y) (/ (* (/ (- 3 x) y) (- 1 x)) 3) (* (/ (+ (* -1/3 x) 1/3) y) (- 3 x)) (/ (+ (* -1/3 x) 1/3) y) (+ (* -1/3 x) 1/3) (* (* (/ (- 3 x) y) (- 1 x)) 1/3) (* (/ (- 3 x) y) (- 1 x)) (* (/ x y) x) (/ x y) (* (/ (* (- 1 x) (- 3 x)) y) 1/3) (/ (* (- 1 x) (- 3 x)) y) (* (- 1 x) (- 3 x)) (* (- x 4) x)) |
| 4.0ms | y | @ | 0 | ((/ (- 3 x) (* (/ y (- 1 x)) 3)) (* (/ (+ (* -1/3 x) 1) y) (- 1 x)) (/ (+ (* -1/3 x) 1) y) (+ (* -1/3 x) 1) (/ (* (/ (- 3 x) y) (- 1 x)) 3) (* (/ x y) (+ (* x 1/3) -4/3)) (* (/ -4/3 y) x) (/ -4/3 y) (/ (* (/ (- 3 x) y) (- 1 x)) 3) (* (/ (+ (* -1/3 x) 1/3) y) (- 3 x)) (/ (+ (* -1/3 x) 1/3) y) (+ (* -1/3 x) 1/3) (* (* (/ (- 3 x) y) (- 1 x)) 1/3) (* (/ (- 3 x) y) (- 1 x)) (* (/ x y) x) (/ x y) (* (/ (* (- 1 x) (- 3 x)) y) 1/3) (/ (* (- 1 x) (- 3 x)) y) (* (- 1 x) (- 3 x)) (* (- x 4) x)) |
| 3.0ms | y | @ | inf | ((/ (- 3 x) (* (/ y (- 1 x)) 3)) (* (/ (+ (* -1/3 x) 1) y) (- 1 x)) (/ (+ (* -1/3 x) 1) y) (+ (* -1/3 x) 1) (/ (* (/ (- 3 x) y) (- 1 x)) 3) (* (/ x y) (+ (* x 1/3) -4/3)) (* (/ -4/3 y) x) (/ -4/3 y) (/ (* (/ (- 3 x) y) (- 1 x)) 3) (* (/ (+ (* -1/3 x) 1/3) y) (- 3 x)) (/ (+ (* -1/3 x) 1/3) y) (+ (* -1/3 x) 1/3) (* (* (/ (- 3 x) y) (- 1 x)) 1/3) (* (/ (- 3 x) y) (- 1 x)) (* (/ x y) x) (/ x y) (* (/ (* (- 1 x) (- 3 x)) y) 1/3) (/ (* (- 1 x) (- 3 x)) y) (* (- 1 x) (- 3 x)) (* (- x 4) x)) |
| 2.0ms | x | @ | inf | ((/ (- 3 x) (* (/ y (- 1 x)) 3)) (* (/ (+ (* -1/3 x) 1) y) (- 1 x)) (/ (+ (* -1/3 x) 1) y) (+ (* -1/3 x) 1) (/ (* (/ (- 3 x) y) (- 1 x)) 3) (* (/ x y) (+ (* x 1/3) -4/3)) (* (/ -4/3 y) x) (/ -4/3 y) (/ (* (/ (- 3 x) y) (- 1 x)) 3) (* (/ (+ (* -1/3 x) 1/3) y) (- 3 x)) (/ (+ (* -1/3 x) 1/3) y) (+ (* -1/3 x) 1/3) (* (* (/ (- 3 x) y) (- 1 x)) 1/3) (* (/ (- 3 x) y) (- 1 x)) (* (/ x y) x) (/ x y) (* (/ (* (- 1 x) (- 3 x)) y) 1/3) (/ (* (- 1 x) (- 3 x)) y) (* (- 1 x) (- 3 x)) (* (- x 4) x)) |
| 2.0ms | x | @ | -inf | ((/ (- 3 x) (* (/ y (- 1 x)) 3)) (* (/ (+ (* -1/3 x) 1) y) (- 1 x)) (/ (+ (* -1/3 x) 1) y) (+ (* -1/3 x) 1) (/ (* (/ (- 3 x) y) (- 1 x)) 3) (* (/ x y) (+ (* x 1/3) -4/3)) (* (/ -4/3 y) x) (/ -4/3 y) (/ (* (/ (- 3 x) y) (- 1 x)) 3) (* (/ (+ (* -1/3 x) 1/3) y) (- 3 x)) (/ (+ (* -1/3 x) 1/3) y) (+ (* -1/3 x) 1/3) (* (* (/ (- 3 x) y) (- 1 x)) 1/3) (* (/ (- 3 x) y) (- 1 x)) (* (/ x y) x) (/ x y) (* (/ (* (- 1 x) (- 3 x)) y) 1/3) (/ (* (- 1 x) (- 3 x)) y) (* (- 1 x) (- 3 x)) (* (- x 4) x)) |
| 1× | egg-herbie |
| 10 326× | lower-fma.f64 |
| 10 326× | lower-fma.f32 |
| 3 828× | lower-*.f64 |
| 3 828× | lower-*.f32 |
| 1 570× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 127 | 3524 |
| 1 | 357 | 3440 |
| 2 | 936 | 3408 |
| 3 | 2643 | 3336 |
| 4 | 6630 | 3336 |
| 0 | 8414 | 3049 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) |
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) |
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) |
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) |
(/ (+ 1 (* -1/3 x)) y) |
(/ (+ 1 (* -1/3 x)) y) |
(/ (+ 1 (* -1/3 x)) y) |
(/ (+ 1 (* -1/3 x)) y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(/ -4/3 y) |
(/ -4/3 y) |
(/ -4/3 y) |
(/ -4/3 y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y) |
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y) |
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y) |
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y) |
(/ (+ 1/3 (* -1/3 x)) y) |
(/ (+ 1/3 (* -1/3 x)) y) |
(/ (+ 1/3 (* -1/3 x)) y) |
(/ (+ 1/3 (* -1/3 x)) y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/ (* (- 1 x) (- 3 x)) y) |
(/ (* (- 1 x) (- 3 x)) y) |
(/ (* (- 1 x) (- 3 x)) y) |
(/ (* (- 1 x) (- 3 x)) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/ (* (- 1 x) (- 3 x)) y) |
(/ (* (- 1 x) (- 3 x)) y) |
(/ (* (- 1 x) (- 3 x)) y) |
(/ (* (- 1 x) (- 3 x)) y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) |
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) |
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) |
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) |
(/ (+ 1 (* -1/3 x)) y) |
(/ (+ 1 (* -1/3 x)) y) |
(/ (+ 1 (* -1/3 x)) y) |
(/ (+ 1 (* -1/3 x)) y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(/ -4/3 y) |
(/ -4/3 y) |
(/ -4/3 y) |
(/ -4/3 y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y) |
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y) |
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y) |
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y) |
(/ (+ 1/3 (* -1/3 x)) y) |
(/ (+ 1/3 (* -1/3 x)) y) |
(/ (+ 1/3 (* -1/3 x)) y) |
(/ (+ 1/3 (* -1/3 x)) y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/ (* (- 1 x) (- 3 x)) y) |
(/ (* (- 1 x) (- 3 x)) y) |
(/ (* (- 1 x) (- 3 x)) y) |
(/ (* (- 1 x) (- 3 x)) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/ (* (- 1 x) (- 3 x)) y) |
(/ (* (- 1 x) (- 3 x)) y) |
(/ (* (- 1 x) (- 3 x)) y) |
(/ (* (- 1 x) (- 3 x)) y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) |
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) |
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) |
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) |
(/ (+ 1 (* -1/3 x)) y) |
(/ (+ 1 (* -1/3 x)) y) |
(/ (+ 1 (* -1/3 x)) y) |
(/ (+ 1 (* -1/3 x)) y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(/ -4/3 y) |
(/ -4/3 y) |
(/ -4/3 y) |
(/ -4/3 y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y) |
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y) |
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y) |
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y) |
(/ (+ 1/3 (* -1/3 x)) y) |
(/ (+ 1/3 (* -1/3 x)) y) |
(/ (+ 1/3 (* -1/3 x)) y) |
(/ (+ 1/3 (* -1/3 x)) y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/ (* (- 1 x) (- 3 x)) y) |
(/ (* (- 1 x) (- 3 x)) y) |
(/ (* (- 1 x) (- 3 x)) y) |
(/ (* (- 1 x) (- 3 x)) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/ (* (- 1 x) (- 3 x)) y) |
(/ (* (- 1 x) (- 3 x)) y) |
(/ (* (- 1 x) (- 3 x)) y) |
(/ (* (- 1 x) (- 3 x)) y) |
(/ 1 y) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(/ 1 y) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(/ 1 y) |
(+ (* -1/3 (/ x y)) (/ 1 y)) |
(+ (* -1/3 (/ x y)) (/ 1 y)) |
(+ (* -1/3 (/ x y)) (/ 1 y)) |
1 |
(+ 1 (* -1/3 x)) |
(+ 1 (* -1/3 x)) |
(+ 1 (* -1/3 x)) |
(/ 1 y) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(* -4/3 (/ x y)) |
(* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) |
(* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) |
(* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(/ 1 y) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(/ 1 y) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(/ 1/3 y) |
(+ (* -1/3 (/ x y)) (* 1/3 (/ 1 y))) |
(+ (* -1/3 (/ x y)) (* 1/3 (/ 1 y))) |
(+ (* -1/3 (/ x y)) (* 1/3 (/ 1 y))) |
1/3 |
(+ 1/3 (* -1/3 x)) |
(+ 1/3 (* -1/3 x)) |
(+ 1/3 (* -1/3 x)) |
(/ 1 y) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(/ 3 y) |
(+ (* -4 (/ x y)) (* 3 (/ 1 y))) |
(+ (* x (- (/ x y) (* 4 (/ 1 y)))) (* 3 (/ 1 y))) |
(+ (* x (- (/ x y) (* 4 (/ 1 y)))) (* 3 (/ 1 y))) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ 1 y) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(/ 3 y) |
(+ (* -4 (/ x y)) (* 3 (/ 1 y))) |
(+ (* x (- (/ x y) (* 4 (/ 1 y)))) (* 3 (/ 1 y))) |
(+ (* x (- (/ x y) (* 4 (/ 1 y)))) (* 3 (/ 1 y))) |
3 |
(+ 3 (* -4 x)) |
(+ 3 (* x (- x 4))) |
(+ 3 (* x (- x 4))) |
(* -4 x) |
(* x (- x 4)) |
(* x (- x 4)) |
(* x (- x 4)) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* -1/3 (/ x y)) |
(* x (- (/ 1 (* x y)) (* 1/3 (/ 1 y)))) |
(* x (- (/ 1 (* x y)) (* 1/3 (/ 1 y)))) |
(* x (- (/ 1 (* x y)) (* 1/3 (/ 1 y)))) |
(* -1/3 x) |
(* x (- (/ 1 x) 1/3)) |
(* x (- (/ 1 x) 1/3)) |
(* x (- (/ 1 x) 1/3)) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* -1/3 (/ x y)) |
(* x (- (* 1/3 (/ 1 (* x y))) (* 1/3 (/ 1 y)))) |
(* x (- (* 1/3 (/ 1 (* x y))) (* 1/3 (/ 1 y)))) |
(* x (- (* 1/3 (/ 1 (* x y))) (* 1/3 (/ 1 y)))) |
(* -1/3 x) |
(* x (- (* 1/3 (/ 1 x)) 1/3)) |
(* x (- (* 1/3 (/ 1 x)) 1/3)) |
(* x (- (* 1/3 (/ 1 x)) 1/3)) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(/ (pow x 2) y) |
(* (pow x 2) (- (/ 1 y) (* 4 (/ 1 (* x y))))) |
(* (pow x 2) (- (+ (/ 1 y) (/ 3 (* (pow x 2) y))) (/ 4 (* x y)))) |
(* (pow x 2) (- (+ (/ 1 y) (/ 3 (* (pow x 2) y))) (/ 4 (* x y)))) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(/ (pow x 2) y) |
(* (pow x 2) (- (/ 1 y) (* 4 (/ 1 (* x y))))) |
(* (pow x 2) (- (+ (/ 1 y) (/ 3 (* (pow x 2) y))) (/ 4 (* x y)))) |
(* (pow x 2) (- (+ (/ 1 y) (/ 3 (* (pow x 2) y))) (/ 4 (* x y)))) |
(pow x 2) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x)))) |
(* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x)))) |
(pow x 2) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* -1/3 (/ x y)) |
(* -1 (* x (- (* 1/3 (/ 1 y)) (/ 1 (* x y))))) |
(* -1 (* x (- (* 1/3 (/ 1 y)) (/ 1 (* x y))))) |
(* -1 (* x (- (* 1/3 (/ 1 y)) (/ 1 (* x y))))) |
(* -1/3 x) |
(* -1 (* x (- 1/3 (/ 1 x)))) |
(* -1 (* x (- 1/3 (/ 1 x)))) |
(* -1 (* x (- 1/3 (/ 1 x)))) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* -1/3 (/ x y)) |
(* -1 (* x (- (* 1/3 (/ 1 y)) (* 1/3 (/ 1 (* x y)))))) |
(* -1 (* x (- (* 1/3 (/ 1 y)) (* 1/3 (/ 1 (* x y)))))) |
(* -1 (* x (- (* 1/3 (/ 1 y)) (* 1/3 (/ 1 (* x y)))))) |
(* -1/3 x) |
(* -1 (* x (- 1/3 (* 1/3 (/ 1 x))))) |
(* -1 (* x (- 1/3 (* 1/3 (/ 1 x))))) |
(* -1 (* x (- 1/3 (* 1/3 (/ 1 x))))) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(/ (pow x 2) y) |
(* (pow x 2) (- (/ 1 y) (* 4 (/ 1 (* x y))))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 3 (/ 1 (* x y)))) x)) (/ 1 y))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 3 (/ 1 (* x y)))) x)) (/ 1 y))) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(/ (pow x 2) y) |
(* (pow x 2) (- (/ 1 y) (* 4 (/ 1 (* x y))))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 3 (/ 1 (* x y)))) x)) (/ 1 y))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 3 (/ 1 (* x y)))) x)) (/ 1 y))) |
(pow x 2) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) |
(pow x 2) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
| Outputs |
|---|
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(/ (+ 1 (* -1/3 x)) y) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) |
(/ (+ 1 (* -1/3 x)) y) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) |
(/ (+ 1 (* -1/3 x)) y) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) |
(/ (+ 1 (* -1/3 x)) y) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x) |
(* -4/3 (/ x y)) |
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x) |
(* -4/3 (/ x y)) |
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x) |
(* -4/3 (/ x y)) |
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x) |
(* -4/3 (/ x y)) |
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x) |
(/ -4/3 y) |
(/.f64 #s(literal -4/3 binary64) y) |
(/ -4/3 y) |
(/.f64 #s(literal -4/3 binary64) y) |
(/ -4/3 y) |
(/.f64 #s(literal -4/3 binary64) y) |
(/ -4/3 y) |
(/.f64 #s(literal -4/3 binary64) y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(/ (+ 1/3 (* -1/3 x)) y) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) |
(/ (+ 1/3 (* -1/3 x)) y) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) |
(/ (+ 1/3 (* -1/3 x)) y) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) |
(/ (+ 1/3 (* -1/3 x)) y) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(/ (* (- 1 x) (- 3 x)) y) |
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) |
(/ (* (- 1 x) (- 3 x)) y) |
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) |
(/ (* (- 1 x) (- 3 x)) y) |
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) |
(/ (* (- 1 x) (- 3 x)) y) |
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(/ (* (- 1 x) (- 3 x)) y) |
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) |
(/ (* (- 1 x) (- 3 x)) y) |
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) |
(/ (* (- 1 x) (- 3 x)) y) |
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) |
(/ (* (- 1 x) (- 3 x)) y) |
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(/ (+ 1 (* -1/3 x)) y) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) |
(/ (+ 1 (* -1/3 x)) y) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) |
(/ (+ 1 (* -1/3 x)) y) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) |
(/ (+ 1 (* -1/3 x)) y) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x) |
(* -4/3 (/ x y)) |
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x) |
(* -4/3 (/ x y)) |
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x) |
(* -4/3 (/ x y)) |
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x) |
(* -4/3 (/ x y)) |
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x) |
(/ -4/3 y) |
(/.f64 #s(literal -4/3 binary64) y) |
(/ -4/3 y) |
(/.f64 #s(literal -4/3 binary64) y) |
(/ -4/3 y) |
(/.f64 #s(literal -4/3 binary64) y) |
(/ -4/3 y) |
(/.f64 #s(literal -4/3 binary64) y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(/ (+ 1/3 (* -1/3 x)) y) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) |
(/ (+ 1/3 (* -1/3 x)) y) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) |
(/ (+ 1/3 (* -1/3 x)) y) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) |
(/ (+ 1/3 (* -1/3 x)) y) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(/ (* (- 1 x) (- 3 x)) y) |
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) |
(/ (* (- 1 x) (- 3 x)) y) |
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) |
(/ (* (- 1 x) (- 3 x)) y) |
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) |
(/ (* (- 1 x) (- 3 x)) y) |
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(/ (* (- 1 x) (- 3 x)) y) |
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) |
(/ (* (- 1 x) (- 3 x)) y) |
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) |
(/ (* (- 1 x) (- 3 x)) y) |
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) |
(/ (* (- 1 x) (- 3 x)) y) |
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
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(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(fma.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x (/.f64 #s(literal 1 binary64) y)) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(fma.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x (/.f64 #s(literal 1 binary64) y)) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x) |
(* -4/3 (/ x y)) |
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x) |
(* -4/3 (/ x y)) |
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x) |
(* -4/3 (/ x y)) |
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x) |
(* -4/3 (/ x y)) |
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(fma.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x (/.f64 #s(literal 1 binary64) y)) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(fma.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x (/.f64 #s(literal 1 binary64) y)) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(fma.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x (/.f64 #s(literal 1 binary64) y)) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(fma.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x (/.f64 #s(literal 1 binary64) y)) |
(* -1/3 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal -1/3 binary64)) |
(* x (- (* 1/3 (/ 1 (* x y))) (* 1/3 (/ 1 y)))) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) |
(* x (- (* 1/3 (/ 1 (* x y))) (* 1/3 (/ 1 y)))) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) |
(* x (- (* 1/3 (/ 1 (* x y))) (* 1/3 (/ 1 y)))) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) |
(* -1/3 x) |
(*.f64 #s(literal -1/3 binary64) x) |
(* x (- (* 1/3 (/ 1 x)) 1/3)) |
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) |
(* x (- (* 1/3 (/ 1 x)) 1/3)) |
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) |
(* x (- (* 1/3 (/ 1 x)) 1/3)) |
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(fma.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x (/.f64 #s(literal 1 binary64) y)) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(fma.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x (/.f64 #s(literal 1 binary64) y)) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(* (pow x 2) (- (/ 1 y) (* 4 (/ 1 (* x y))))) |
(*.f64 (-.f64 x #s(literal 4 binary64)) (/.f64 x y)) |
(* (pow x 2) (- (+ (/ 1 y) (/ 3 (* (pow x 2) y))) (/ 4 (* x y)))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 3 binary64) x)) (/.f64 x y)) x) |
(* (pow x 2) (- (+ (/ 1 y) (/ 3 (* (pow x 2) y))) (/ 4 (* x y)))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 3 binary64) x)) (/.f64 x y)) x) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(fma.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x (/.f64 #s(literal 1 binary64) y)) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(fma.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x (/.f64 #s(literal 1 binary64) y)) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(* (pow x 2) (- (/ 1 y) (* 4 (/ 1 (* x y))))) |
(*.f64 (-.f64 x #s(literal 4 binary64)) (/.f64 x y)) |
(* (pow x 2) (- (+ (/ 1 y) (/ 3 (* (pow x 2) y))) (/ 4 (* x y)))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 3 binary64) x)) (/.f64 x y)) x) |
(* (pow x 2) (- (+ (/ 1 y) (/ 3 (* (pow x 2) y))) (/ 4 (* x y)))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 3 binary64) x)) (/.f64 x y)) x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(*.f64 (-.f64 x #s(literal 4 binary64)) x) |
(* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x)))) |
(*.f64 (-.f64 x (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 3 binary64) x))) x) |
(* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x)))) |
(*.f64 (-.f64 x (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 3 binary64) x))) x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(*.f64 (-.f64 x #s(literal 4 binary64)) x) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(*.f64 (-.f64 x #s(literal 4 binary64)) x) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(*.f64 (-.f64 x #s(literal 4 binary64)) x) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(fma.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x (/.f64 #s(literal 1 binary64) y)) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(fma.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x (/.f64 #s(literal 1 binary64) y)) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(fma.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x (/.f64 #s(literal 1 binary64) y)) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(fma.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x (/.f64 #s(literal 1 binary64) y)) |
(* -1/3 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal -1/3 binary64)) |
(* -1 (* x (- (* 1/3 (/ 1 y)) (/ 1 (* x y))))) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) |
(* -1 (* x (- (* 1/3 (/ 1 y)) (/ 1 (* x y))))) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) |
(* -1 (* x (- (* 1/3 (/ 1 y)) (/ 1 (* x y))))) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) |
(* -1/3 x) |
(*.f64 #s(literal -1/3 binary64) x) |
(* -1 (* x (- 1/3 (/ 1 x)))) |
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) |
(* -1 (* x (- 1/3 (/ 1 x)))) |
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) |
(* -1 (* x (- 1/3 (/ 1 x)))) |
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(fma.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x (/.f64 #s(literal 1 binary64) y)) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(fma.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x (/.f64 #s(literal 1 binary64) y)) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x) |
(* -4/3 (/ x y)) |
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x) |
(* -4/3 (/ x y)) |
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x) |
(* -4/3 (/ x y)) |
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x) |
(* -4/3 (/ x y)) |
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(fma.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x (/.f64 #s(literal 1 binary64) y)) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(fma.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x (/.f64 #s(literal 1 binary64) y)) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(fma.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x (/.f64 #s(literal 1 binary64) y)) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(fma.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x (/.f64 #s(literal 1 binary64) y)) |
(* -1/3 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal -1/3 binary64)) |
(* -1 (* x (- (* 1/3 (/ 1 y)) (* 1/3 (/ 1 (* x y)))))) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) |
(* -1 (* x (- (* 1/3 (/ 1 y)) (* 1/3 (/ 1 (* x y)))))) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) |
(* -1 (* x (- (* 1/3 (/ 1 y)) (* 1/3 (/ 1 (* x y)))))) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) |
(* -1/3 x) |
(*.f64 #s(literal -1/3 binary64) x) |
(* -1 (* x (- 1/3 (* 1/3 (/ 1 x))))) |
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) |
(* -1 (* x (- 1/3 (* 1/3 (/ 1 x))))) |
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) |
(* -1 (* x (- 1/3 (* 1/3 (/ 1 x))))) |
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(fma.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x (/.f64 #s(literal 1 binary64) y)) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(fma.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x (/.f64 #s(literal 1 binary64) y)) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(* (pow x 2) (- (/ 1 y) (* 4 (/ 1 (* x y))))) |
(*.f64 (-.f64 x #s(literal 4 binary64)) (/.f64 x y)) |
(* (pow x 2) (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 3 (/ 1 (* x y)))) x)) (/ 1 y))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 3 binary64) x)) (/.f64 x y)) x) |
(* (pow x 2) (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 3 (/ 1 (* x y)))) x)) (/ 1 y))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 3 binary64) x)) (/.f64 x y)) x) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(fma.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x (/.f64 #s(literal 1 binary64) y)) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(fma.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x (/.f64 #s(literal 1 binary64) y)) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(* (pow x 2) (- (/ 1 y) (* 4 (/ 1 (* x y))))) |
(*.f64 (-.f64 x #s(literal 4 binary64)) (/.f64 x y)) |
(* (pow x 2) (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 3 (/ 1 (* x y)))) x)) (/ 1 y))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 3 binary64) x)) (/.f64 x y)) x) |
(* (pow x 2) (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 3 (/ 1 (* x y)))) x)) (/ 1 y))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 3 binary64) x)) (/.f64 x y)) x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(*.f64 (-.f64 x #s(literal 4 binary64)) x) |
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) |
(*.f64 (-.f64 x (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 3 binary64) x))) x) |
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) |
(*.f64 (-.f64 x (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 3 binary64) x))) x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(*.f64 (-.f64 x #s(literal 4 binary64)) x) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(*.f64 (-.f64 x #s(literal 4 binary64)) x) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(*.f64 (-.f64 x #s(literal 4 binary64)) x) |
| 6 080× | lower-/.f32 |
| 6 070× | lower-/.f64 |
| 4 038× | lower-*.f32 |
| 4 024× | lower-*.f64 |
| 3 046× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 236 |
| 0 | 62 | 236 |
| 1 | 240 | 236 |
| 2 | 1762 | 236 |
| 0 | 8401 | 230 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) |
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) |
#s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x)) |
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x) |
(/.f64 #s(literal -4/3 binary64) y) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))) |
(*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(/.f64 #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) y) |
#s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) |
(*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) x)) #s(literal 1/3 binary64)) |
#s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) x)) |
(*.f64 (/.f64 x y) x) |
(/.f64 x y) |
(*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) y) #s(literal 1/3 binary64)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) y) |
#s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) |
(*.f64 (-.f64 x #s(literal 4 binary64)) x) |
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Compiled 13 212 to 2 075 computations (84.3% saved)
23 alts after pruning (14 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 942 | 5 | 947 |
| Fresh | 3 | 9 | 12 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 5 | 5 |
| Total | 946 | 23 | 969 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.6% | (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) |
| 49.3% | (/.f64 (-.f64 #s(literal 3 binary64) x) #s(approx (* (/ y (- 1 x)) 3) (*.f64 (/.f64 y x) #s(literal -3 binary64)))) | |
| 49.5% | (/.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) x)) #s(literal 3 binary64)) | |
| 57.1% | (/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) | |
| ✓ | 42.9% | (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) |
| 52.8% | (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) | |
| 57.0% | (*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) y) #s(literal 1/3 binary64)) | |
| ✓ | 43.5% | (*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) y) #s(literal 1/3 binary64)) |
| 52.7% | (*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) y) #s(literal 1/3 binary64)) | |
| ✓ | 49.5% | (*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) x)) #s(literal 1/3 binary64)) |
| 50.0% | #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x)) | |
| ✓ | 99.8% | #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) |
| 57.0% | #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) | |
| 43.4% | #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (/.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x) y)) | |
| 49.5% | #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) (*.f64 x #s(literal 1/3 binary64))))) | |
| 8.6% | #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) #s(literal -4/3 binary64)))) | |
| 50.0% | #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y)) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) | |
| 8.6% | #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (/.f64 x (*.f64 y #s(literal -3/4 binary64))))) | |
| ✓ | 8.6% | #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) |
| ✓ | 53.0% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
| 49.5% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x (*.f64 y #s(literal 3 binary64))) x)) | |
| ✓ | 49.5% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)) |
| ✓ | 52.7% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) y))) |
Compiled 574 to 318 computations (44.6% saved)
| Inputs |
|---|
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) y))) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (/.f64 x (*.f64 y #s(literal -3/4 binary64))))) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) #s(literal -4/3 binary64)))) |
(*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (/.f64 #s(literal 3 binary64) y)) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) y) #s(literal 1/3 binary64)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))) |
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 #s(literal 3 binary64) x) #s(approx (* (/ y (- 1 x)) 3) (*.f64 y #s(literal 3 binary64)))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x (*.f64 y #s(literal 3 binary64))) x)) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) (*.f64 x #s(literal 1/3 binary64))))) |
(*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) x)) #s(literal 1/3 binary64)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) |
(/.f64 (*.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) #s(literal 1/3 binary64)) y) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y))) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (/.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x) y)) |
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x)) |
(*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) y) #s(literal 1/3 binary64)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) |
(*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) y) #s(literal 1/3 binary64)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))) |
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 (-.f64 x #s(literal 4 binary64)) x #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) |
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) |
(*.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 (-.f64 #s(literal 3 binary64) x) (/.f64 #s(literal -1/3 binary64) y))) |
(/.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) x)) #s(literal 3 binary64)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) x))) y) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y)) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) |
(*.f64 (neg.f64 (-.f64 #s(literal 3 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal -3 binary64) y))) |
(/.f64 (-.f64 #s(literal 3 binary64) x) #s(approx (* (/ y (- 1 x)) 3) (*.f64 (/.f64 y x) #s(literal -3 binary64)))) |
(*.f64 (*.f64 (-.f64 x #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 1 binary64) x))) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) |
(/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 y (/.f64 #s(literal 3 binary64) (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) |
| Outputs |
|---|
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) |
5 calls:
| 34.0ms | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 25.0ms | x |
| 15.0ms | (*.f64 y #s(literal 3 binary64)) |
| 11.0ms | y |
| 10.0ms | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 99.8% | 1 | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| 99.8% | 1 | (*.f64 y #s(literal 3 binary64)) |
Compiled 23 to 24 computations (-4.3% saved)
| Inputs |
|---|
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) y))) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (/.f64 x (*.f64 y #s(literal -3/4 binary64))))) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) #s(literal -4/3 binary64)))) |
(*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (/.f64 #s(literal 3 binary64) y)) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) y) #s(literal 1/3 binary64)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))) |
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 #s(literal 3 binary64) x) #s(approx (* (/ y (- 1 x)) 3) (*.f64 y #s(literal 3 binary64)))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x (*.f64 y #s(literal 3 binary64))) x)) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) (*.f64 x #s(literal 1/3 binary64))))) |
(*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) x)) #s(literal 1/3 binary64)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) |
(/.f64 (*.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) #s(literal 1/3 binary64)) y) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y))) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (/.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x) y)) |
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x)) |
(*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) y) #s(literal 1/3 binary64)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) |
(*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) y) #s(literal 1/3 binary64)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))) |
| Outputs |
|---|
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))) |
5 calls:
| 14.0ms | x |
| 11.0ms | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 8.0ms | (*.f64 y #s(literal 3 binary64)) |
| 8.0ms | y |
| 7.0ms | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | x |
| 99.5% | 1 | y |
| 99.5% | 1 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 99.5% | 1 | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| 99.5% | 1 | (*.f64 y #s(literal 3 binary64)) |
Compiled 23 to 24 computations (-4.3% saved)
| Inputs |
|---|
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) y))) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (/.f64 x (*.f64 y #s(literal -3/4 binary64))))) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) #s(literal -4/3 binary64)))) |
(*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (/.f64 #s(literal 3 binary64) y)) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) y) #s(literal 1/3 binary64)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))) |
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 #s(literal 3 binary64) x) #s(approx (* (/ y (- 1 x)) 3) (*.f64 y #s(literal 3 binary64)))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x (*.f64 y #s(literal 3 binary64))) x)) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) (*.f64 x #s(literal 1/3 binary64))))) |
(*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) x)) #s(literal 1/3 binary64)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) |
(/.f64 (*.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) #s(literal 1/3 binary64)) y) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y))) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (/.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x) y)) |
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x)) |
(*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) y) #s(literal 1/3 binary64)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) |
(*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) y) #s(literal 1/3 binary64)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64))) |
| Outputs |
|---|
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y))) |
5 calls:
| 43.0ms | x |
| 31.0ms | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| 8.0ms | (*.f64 y #s(literal 3 binary64)) |
| 8.0ms | y |
| 8.0ms | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 3 | x |
| 59.7% | 2 | y |
| 82.4% | 2 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 98.4% | 2 | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| 59.7% | 2 | (*.f64 y #s(literal 3 binary64)) |
Compiled 23 to 24 computations (-4.3% saved)
| Inputs |
|---|
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) y))) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (/.f64 x (*.f64 y #s(literal -3/4 binary64))))) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) #s(literal -4/3 binary64)))) |
(*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (/.f64 #s(literal 3 binary64) y)) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) y) #s(literal 1/3 binary64)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))) |
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 #s(literal 3 binary64) x) #s(approx (* (/ y (- 1 x)) 3) (*.f64 y #s(literal 3 binary64)))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x (*.f64 y #s(literal 3 binary64))) x)) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) (*.f64 x #s(literal 1/3 binary64))))) |
(*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) x)) #s(literal 1/3 binary64)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) |
(/.f64 (*.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) #s(literal 1/3 binary64)) y) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y))) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (/.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x) y)) |
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x)) |
(*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) y) #s(literal 1/3 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) y) #s(literal 1/3 binary64)) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y))) |
1 calls:
| 6.0ms | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 2 | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
Compiled 7 to 7 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) y))) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (/.f64 x (*.f64 y #s(literal -3/4 binary64))))) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) #s(literal -4/3 binary64)))) |
(*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (/.f64 #s(literal 3 binary64) y)) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) y) #s(literal 1/3 binary64)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))) |
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 #s(literal 3 binary64) x) #s(approx (* (/ y (- 1 x)) 3) (*.f64 y #s(literal 3 binary64)))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x (*.f64 y #s(literal 3 binary64))) x)) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) (*.f64 x #s(literal 1/3 binary64))))) |
(*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) x)) #s(literal 1/3 binary64)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) |
(/.f64 (*.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) #s(literal 1/3 binary64)) y) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y))) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (/.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x) y)) |
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x)) |
| Outputs |
|---|
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y))) |
1 calls:
| 8.0ms | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 2 | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
Compiled 7 to 7 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) y))) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (/.f64 x (*.f64 y #s(literal -3/4 binary64))))) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) #s(literal -4/3 binary64)))) |
(*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (/.f64 #s(literal 3 binary64) y)) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) y) #s(literal 1/3 binary64)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))) |
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 #s(literal 3 binary64) x) #s(approx (* (/ y (- 1 x)) 3) (*.f64 y #s(literal 3 binary64)))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x (*.f64 y #s(literal 3 binary64))) x)) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) (*.f64 x #s(literal 1/3 binary64))))) |
(*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) x)) #s(literal 1/3 binary64)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) |
(/.f64 (*.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) #s(literal 1/3 binary64)) y) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) |
| Outputs |
|---|
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) |
1 calls:
| 5.0ms | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 2 | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
Compiled 7 to 7 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) y))) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (/.f64 x (*.f64 y #s(literal -3/4 binary64))))) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) #s(literal -4/3 binary64)))) |
(*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (/.f64 #s(literal 3 binary64) y)) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) y) #s(literal 1/3 binary64)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))) |
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 #s(literal 3 binary64) x) #s(approx (* (/ y (- 1 x)) 3) (*.f64 y #s(literal 3 binary64)))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x (*.f64 y #s(literal 3 binary64))) x)) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) (*.f64 x #s(literal 1/3 binary64))))) |
(*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) x)) #s(literal 1/3 binary64)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) |
(/.f64 (*.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) #s(literal 1/3 binary64)) y) |
| Outputs |
|---|
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x (*.f64 y #s(literal 3 binary64))) x)) |
1 calls:
| 14.0ms | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.6% | 2 | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
Compiled 7 to 7 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) y))) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (/.f64 x (*.f64 y #s(literal -3/4 binary64))))) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) #s(literal -4/3 binary64)))) |
(*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (/.f64 #s(literal 3 binary64) y)) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) y) #s(literal 1/3 binary64)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))) |
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 #s(literal 3 binary64) x) #s(approx (* (/ y (- 1 x)) 3) (*.f64 y #s(literal 3 binary64)))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)) |
| Outputs |
|---|
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)) |
1 calls:
| 3.0ms | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.6% | 2 | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
Compiled 7 to 7 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) y))) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (/.f64 x (*.f64 y #s(literal -3/4 binary64))))) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) #s(literal -4/3 binary64)))) |
(*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (/.f64 #s(literal 3 binary64) y)) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) y) #s(literal 1/3 binary64)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))) |
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 #s(literal 3 binary64) x) #s(approx (* (/ y (- 1 x)) 3) (*.f64 y #s(literal 3 binary64)))) |
| Outputs |
|---|
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) |
5 calls:
| 4.0ms | y |
| 4.0ms | (*.f64 y #s(literal 3 binary64)) |
| 4.0ms | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 4.0ms | x |
| 3.0ms | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.0% | 1 | y |
| 57.0% | 1 | (*.f64 y #s(literal 3 binary64)) |
| 57.0% | 1 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 57.0% | 1 | x |
| 57.0% | 1 | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
Compiled 23 to 24 computations (-4.3% saved)
| Inputs |
|---|
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) y))) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (/.f64 x (*.f64 y #s(literal -3/4 binary64))))) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) #s(literal -4/3 binary64)))) |
(*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (/.f64 #s(literal 3 binary64) y)) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) y) #s(literal 1/3 binary64)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))) |
| Outputs |
|---|
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))) |
5 calls:
| 10.0ms | (*.f64 y #s(literal 3 binary64)) |
| 3.0ms | x |
| 3.0ms | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 3.0ms | y |
| 3.0ms | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.6% | 1 | y |
| 56.6% | 1 | (*.f64 y #s(literal 3 binary64)) |
| 56.6% | 1 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 56.6% | 1 | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| 56.6% | 1 | x |
Compiled 23 to 24 computations (-4.3% saved)
| Inputs |
|---|
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) y))) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (/.f64 x (*.f64 y #s(literal -3/4 binary64))))) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) #s(literal -4/3 binary64)))) |
(*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (/.f64 #s(literal 3 binary64) y)) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) y) #s(literal 1/3 binary64)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) |
| Outputs |
|---|
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
5 calls:
| 5.0ms | y |
| 3.0ms | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 3.0ms | (*.f64 y #s(literal 3 binary64)) |
| 3.0ms | x |
| 3.0ms | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.0% | 2 | x |
| 53.0% | 1 | y |
| 57.1% | 2 | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| 53.0% | 1 | (*.f64 y #s(literal 3 binary64)) |
| 56.6% | 2 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
Compiled 23 to 24 computations (-4.3% saved)
Total -0.2b remaining (-0.7%)
Threshold costs -0.2b (-0.7%)
| Inputs |
|---|
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) y))) |
| Outputs |
|---|
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
3 calls:
| 2.0ms | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 1.0ms | x |
| 1.0ms | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.0% | 1 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 53.0% | 1 | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| 53.0% | 1 | x |
Compiled 19 to 18 computations (5.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.8341395077730316 | 3567554.703229042 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.8341395077730316 | 3567554.703229042 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.8341395077730316 | 3567554.703229042 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.8341395077730316 | 3567554.703229042 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.8341395077730316 | 3567554.703229042 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.8341395077730316 | 3567554.703229042 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | -16882.5661466458 | -0.198667666513753 |
| 7.0ms | 144× | 0 | valid |
Compiled 113 to 140 computations (-23.9% saved)
ival-mult: 2.0ms (49.1% of total)ival-sub: 1.0ms (24.6% of total)ival-div: 1.0ms (24.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 28× | *-commutative-binary64-*.f64 |
| 6× | +-commutative-binary64-+.f64 |
| 6× | sub-neg-binary64-neg.f64-+.f64--.f64 |
| 2× | 1-exp-binary32-exp.f32 |
| 2× | 1-exp-binary64-exp.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 82 | 465 |
| 1 | 101 | 465 |
| 2 | 106 | 465 |
| 3 | 108 | 465 |
| 4 | 109 | 465 |
| 1× | saturated |
| Inputs |
|---|
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) (/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y)))) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) (*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) y) #s(literal 1/3 binary64)) #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y)))) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y)))) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))))) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x (*.f64 y #s(literal 3 binary64))) x))) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x))) |
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))) |
(if (<=.f64 x #s(literal -3/4 binary64)) #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
| Outputs |
|---|
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (-.f64 #s(literal 3 binary64) x) (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y))) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) (/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y)))) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)) (/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x))) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) (*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) y) #s(literal 1/3 binary64)) #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y)))) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)) (*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) y) #s(literal 1/3 binary64)) #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x))) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y)))) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)) #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x))) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))))) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)) #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (/.f64 x y)))) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x (*.f64 y #s(literal 3 binary64))) x))) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)) #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x (*.f64 y #s(literal 3 binary64))) x))) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x))) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)) #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x))) |
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))) |
(if (<=.f64 x #s(literal -3/4 binary64)) #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
| 12 062× | lower-fma.f64 |
| 12 062× | lower-fma.f32 |
| 10 326× | lower-fma.f64 |
| 10 326× | lower-fma.f32 |
| 8 634× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 127 | 3524 |
| 1 | 357 | 3440 |
| 2 | 936 | 3408 |
| 3 | 2643 | 3336 |
| 4 | 6630 | 3336 |
| 0 | 8414 | 3049 |
| 0 | 168 | 3199 |
| 1 | 479 | 3156 |
| 2 | 1279 | 3086 |
| 3 | 3866 | 3074 |
| 0 | 8193 | 2908 |
| 0 | 34 | 162 |
| 0 | 52 | 159 |
| 1 | 203 | 159 |
| 2 | 1485 | 152 |
| 0 | 8494 | 152 |
| 0 | 112 | 2104 |
| 1 | 319 | 2104 |
| 2 | 818 | 2080 |
| 3 | 2387 | 1980 |
| 4 | 6828 | 1980 |
| 0 | 8209 | 1824 |
| 0 | 78 | 446 |
| 1 | 216 | 446 |
| 2 | 543 | 446 |
| 3 | 1551 | 418 |
| 4 | 4034 | 418 |
| 5 | 7654 | 418 |
| 0 | 8499 | 384 |
| 0 | 9 | 27 |
| 0 | 14 | 27 |
| 1 | 59 | 27 |
| 2 | 433 | 27 |
| 3 | 7340 | 27 |
| 0 | 8063 | 27 |
| 0 | 27 | 130 |
| 0 | 39 | 130 |
| 1 | 145 | 130 |
| 2 | 895 | 130 |
| 0 | 8461 | 130 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 695 to 395 computations (43.2% saved)
(negabs y)
Compiled 560 to 218 computations (61.1% saved)
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