
Time bar (total: 8.2s)
| 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)
| 463.0ms | 8 256× | 0 | valid |
ival-sub: 100.0ms (37.5% of total)ival-mult: 98.0ms (36.8% of total)ival-div: 53.0ms (19.9% of total)exact: 8.0ms (3% of total)ival-true: 5.0ms (1.9% of total)ival-assert: 3.0ms (1.1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 11 | 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 | 11 | 0 |
| ↳ | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) | overflow | 56 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 11 | 0 |
| - | 0 | 245 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 11 | 0 | 0 |
| - | 0 | 0 | 245 |
| number | freq |
|---|---|
| 0 | 245 |
| 1 | 11 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 29.0ms | 512× | 0 | valid |
Compiled 77 to 31 computations (59.7% saved)
ival-mult: 6.0ms (40.2% of total)ival-sub: 5.0ms (33.5% of total)ival-div: 3.0ms (20.1% 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 |
| 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 |
|---|---|---|
| ▶ | 95.7% | (/.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 | 0.00390625 | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) | |
| accuracy | 2.782547957092217 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 29.0ms | 256× | 0 | valid |
Compiled 33 to 11 computations (66.7% saved)
ival-sub: 17.0ms (77.6% of total)ival-mult: 3.0ms (13.7% of total)ival-div: 2.0ms (9.1% 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 | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | ((* (- 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 | x | @ | 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 | 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 |
|---|
(*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 9 binary64)) (-.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))) (fma.f64 x (-.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 9 binary64)) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 x) x #s(literal 9 binary64))) (-.f64 #s(literal 3 binary64) x)) |
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(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 9 binary64))) |
(/.f64 (*.f64 (+.f64 #s(literal -9 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fma.f64 #s(literal -1 binary64) x #s(literal -3 binary64))) |
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)) (neg.f64 (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 9 binary64)))) |
(/.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 9 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 3 binary64) x)) |
(/.f64 (*.f64 (-.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 9 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 9 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 9 binary64) (+.f64 #s(literal 3 binary64) x)) (*.f64 (+.f64 #s(literal 3 binary64) x) (*.f64 x x))) (*.f64 (+.f64 #s(literal 3 binary64) x) (+.f64 #s(literal 3 binary64) x))) |
(/.f64 (-.f64 (*.f64 #s(literal 27 binary64) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 9 binary64))) (*.f64 (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 9 binary64)) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 9 binary64)))) |
(/.f64 (-.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (+.f64 #s(literal 3 binary64) x) (fma.f64 x x #s(literal 9 binary64)))) |
(/.f64 (-.f64 #s(literal 19683 binary64) (pow.f64 x #s(literal 9 binary64))) (*.f64 (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 9 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) #s(literal 729 binary64)))) |
(/.f64 (-.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 (+.f64 #s(literal 3 binary64) x) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 9 binary64)) #s(literal 81 binary64)))) |
(/.f64 (-.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 9 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)))) |
(/.f64 (+.f64 #s(literal -9 binary64) (*.f64 x x)) (fma.f64 #s(literal -1 binary64) x #s(literal -3 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 9 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 9 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (neg.f64 x) x #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) x)) |
(/.f64 (-.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 #s(literal 9 binary64) (*.f64 #s(literal -3 binary64) x)))) |
(/.f64 (-.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 9 binary64))) |
(/.f64 (-.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 9 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 9 binary64)) (-.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal -1 binary64))) |
(neg.f64 (neg.f64 (-.f64 #s(literal 3 binary64) x))) |
(fma.f64 (/.f64 #s(literal 9 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))) (fma.f64 x (-.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) (neg.f64 (*.f64 x (/.f64 x (+.f64 #s(literal 3 binary64) x))))) |
(fma.f64 (/.f64 #s(literal 9 binary64) (fma.f64 (neg.f64 x) x #s(literal 9 binary64))) (-.f64 #s(literal 3 binary64) x) (neg.f64 (*.f64 x (/.f64 x (+.f64 #s(literal 3 binary64) x))))) |
(fma.f64 (/.f64 #s(literal 27 binary64) (-.f64 #s(literal 81 binary64) (pow.f64 (*.f64 (+.f64 #s(literal 3 binary64) x) x) #s(literal 2 binary64)))) (-.f64 #s(literal 9 binary64) (*.f64 (+.f64 #s(literal 3 binary64) x) x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 9 binary64))))) |
(fma.f64 (/.f64 #s(literal 27 binary64) (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 3 binary64) x) x) #s(literal 3 binary64)) #s(literal 729 binary64))) (fma.f64 (*.f64 (+.f64 #s(literal 3 binary64) x) x) (-.f64 (*.f64 (+.f64 #s(literal 3 binary64) x) x) #s(literal 9 binary64)) #s(literal 81 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 9 binary64))))) |
(fma.f64 #s(literal -1 binary64) x #s(literal 3 binary64)) |
(fma.f64 (neg.f64 x) #s(literal 1 binary64) #s(literal 3 binary64)) |
(fma.f64 #s(literal 9 binary64) (pow.f64 (+.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (+.f64 #s(literal 3 binary64) x))))) |
(fma.f64 #s(literal 27 binary64) (pow.f64 (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 9 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 9 binary64))))) |
(fma.f64 x #s(literal -1 binary64) #s(literal 3 binary64)) |
(fma.f64 #s(literal 1 binary64) (neg.f64 x) #s(literal 3 binary64)) |
(-.f64 (/.f64 #s(literal 9 binary64) (+.f64 #s(literal 3 binary64) x)) (*.f64 x (/.f64 x (+.f64 #s(literal 3 binary64) x)))) |
(-.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 9 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 9 binary64)))) |
(-.f64 #s(literal 0 binary64) (-.f64 x #s(literal 3 binary64))) |
(-.f64 #s(literal 3 binary64) x) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (/.f64 #s(literal 9 binary64) (+.f64 #s(literal 3 binary64) x)) (neg.f64 (*.f64 x (/.f64 x (+.f64 #s(literal 3 binary64) x))))) |
(+.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 9 binary64))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 9 binary64))))) |
(+.f64 (neg.f64 x) #s(literal 3 binary64)) |
(+.f64 #s(literal 3 binary64) (neg.f64 x)) |
(*.f64 (neg.f64 (neg.f64 y)) #s(literal 3 binary64)) |
(*.f64 #s(literal -3 binary64) (neg.f64 y)) |
(*.f64 (neg.f64 y) #s(literal -3 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) y)) |
(*.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) |
(*.f64 y #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) (/.f64 y #s(literal 1 binary64))) |
(*.f64 #s(literal 3 binary64) (neg.f64 (neg.f64 y))) |
(*.f64 #s(literal 3 binary64) y) |
(*.f64 #s(literal 1 binary64) (*.f64 y #s(literal 3 binary64))) |
(pow.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(literal -3 binary64) y) #s(literal -1 binary64)) |
(/.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) y)) |
(neg.f64 (*.f64 #s(literal -3 binary64) y)) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -3 binary64) y)) |
Compiled 16 676 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 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) |
| 56.7% | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(approx (- 3 x) #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) | |
| 95.9% | (/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 3 binary64) x)) (-.f64 #s(literal 1 binary64) x)) y) | |
| 95.8% | (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) x))) y) | |
| ▶ | 95.7% | (/.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))) |
| 57.2% | (/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) | |
| ▶ | 45.1% | (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64))) |
| ▶ | 44.4% | (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) |
| 53.7% | (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) | |
| 99.5% | (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) | |
| 99.5% | (*.f64 (neg.f64 (-.f64 #s(literal 3 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal -3 binary64) y))) | |
| ▶ | 53.8% | #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))) | |
| 49.1% | #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)))) | |
| 48.4% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)) |
Compiled 284 to 256 computations (9.9% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 x #s(literal 4 binary64)) | |
| cost-diff | 0 | (fma.f64 (-.f64 x #s(literal 4 binary64)) x #s(literal 3 binary64)) | |
| cost-diff | 0 | #s(approx (* (- 1 x) (- 3 x)) (fma.f64 (-.f64 x #s(literal 4 binary64)) x #s(literal 3 binary64))) | |
| cost-diff | 0 | (/.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))) | |
| 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)) |
| 10 958× | lower-fma.f32 |
| 10 956× | lower-fma.f64 |
| 2 724× | lower-*.f32 |
| 2 716× | lower-*.f64 |
| 1 358× | unsub-neg |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 183 |
| 0 | 41 | 183 |
| 1 | 73 | 183 |
| 2 | 135 | 183 |
| 3 | 276 | 183 |
| 4 | 813 | 183 |
| 5 | 2939 | 174 |
| 0 | 8104 | 174 |
| 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 #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))) |
#s(approx (* (- 1 x) (- 3 x)) (fma.f64 (-.f64 x #s(literal 4 binary64)) x #s(literal 3 binary64))) |
(fma.f64 (-.f64 x #s(literal 4 binary64)) x #s(literal 3 binary64)) |
(-.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
#s(literal 3 binary64) |
(*.f64 y #s(literal 3 binary64)) |
y |
| 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 #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))) |
#s(approx (* (- 1 x) (- 3 x)) (fma.f64 (-.f64 x #s(literal 4 binary64)) x #s(literal 3 binary64))) |
(fma.f64 (-.f64 x #s(literal 4 binary64)) x #s(literal 3 binary64)) |
(-.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
#s(literal 3 binary64) |
(*.f64 y #s(literal 3 binary64)) |
y |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 x #s(literal 4 binary64)) | |
| accuracy | 0 | (*.f64 y #s(literal 3 binary64)) | |
| accuracy | 0 | #s(approx (* (- 1 x) (- 3 x)) (fma.f64 (-.f64 x #s(literal 4 binary64)) x #s(literal 3 binary64))) | |
| accuracy | 2.782547957092217 | (/.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))) | |
| accuracy | 0 | (*.f64 y #s(literal 3 binary64)) | |
| accuracy | 0.00390625 | (*.f64 (-.f64 x #s(literal 4 binary64)) x) | |
| accuracy | 2.782547957092217 | (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64))) | |
| accuracy | 32.62650123432246 | #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 | 2.782547957092217 | (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) | |
| accuracy | 33.06170055643985 | #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) y) | |
| accuracy | 29.5403038869203 | #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 | 0.078125 | (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.1953125 | (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) |
| 81.0ms | 256× | 0 | valid |
Compiled 148 to 20 computations (86.5% saved)
ival-mult: 20.0ms (63.2% of total)ival-div: 6.0ms (18.9% of total)ival-sub: 4.0ms (12.6% of total)ival-add: 1.0ms (3.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (*.f64 (/.f64 (-.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 #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))) (patch (/.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))) #<representation:binary64>) () ()) |
#s(alt #s(approx (* (- 1 x) (- 3 x)) (fma.f64 (-.f64 x #s(literal 4 binary64)) x #s(literal 3 binary64))) (patch #s(approx (* (- 1 x) (- 3 x)) (fma.f64 (-.f64 x #s(literal 4 binary64)) x #s(literal 3 binary64))) #<representation:binary64>) () ()) |
#s(alt (fma.f64 (-.f64 x #s(literal 4 binary64)) x #s(literal 3 binary64)) (patch (fma.f64 (-.f64 x #s(literal 4 binary64)) x #s(literal 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 #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))) (patch (/.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))) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.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))) (patch (/.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))) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.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))) (patch (/.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))) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.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))) (patch (/.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))) #<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>) () ())) ()) |
#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>) () ())) ()) |
#s(alt (/ (- 3 x) y) (taylor inf 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 inf 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 inf 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 inf 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 inf 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 inf 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 inf 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 inf 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 inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation:binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation:binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation:binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation:binary64>) () ())) ()) |
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#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor inf 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 inf 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 inf 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 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>) () ())) ()) |
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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 #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))) (patch (/.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))) #<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 #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))) (patch (/.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))) #<representation:binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt #s(approx (* (- 1 x) (- 3 x)) (fma.f64 (-.f64 x #s(literal 4 binary64)) x #s(literal 3 binary64))) (patch #s(approx (* (- 1 x) (- 3 x)) (fma.f64 (-.f64 x #s(literal 4 binary64)) x #s(literal 3 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (* 4 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (* (- 1 x) (- 3 x)) (fma.f64 (-.f64 x #s(literal 4 binary64)) x #s(literal 3 binary64))) (patch #s(approx (* (- 1 x) (- 3 x)) (fma.f64 (-.f64 x #s(literal 4 binary64)) x #s(literal 3 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) (taylor -inf x) (#s(alt #s(approx (* (- 1 x) (- 3 x)) (fma.f64 (-.f64 x #s(literal 4 binary64)) x #s(literal 3 binary64))) (patch #s(approx (* (- 1 x) (- 3 x)) (fma.f64 (-.f64 x #s(literal 4 binary64)) x #s(literal 3 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) (taylor -inf x) (#s(alt #s(approx (* (- 1 x) (- 3 x)) (fma.f64 (-.f64 x #s(literal 4 binary64)) x #s(literal 3 binary64))) (patch #s(approx (* (- 1 x) (- 3 x)) (fma.f64 (-.f64 x #s(literal 4 binary64)) x #s(literal 3 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f64 (-.f64 x #s(literal 4 binary64)) x #s(literal 3 binary64)) (patch (fma.f64 (-.f64 x #s(literal 4 binary64)) x #s(literal 3 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (* 4 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 x #s(literal 4 binary64)) x #s(literal 3 binary64)) (patch (fma.f64 (-.f64 x #s(literal 4 binary64)) x #s(literal 3 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 x #s(literal 4 binary64)) x #s(literal 3 binary64)) (patch (fma.f64 (-.f64 x #s(literal 4 binary64)) x #s(literal 3 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 x #s(literal 4 binary64)) x #s(literal 3 binary64)) (patch (fma.f64 (-.f64 x #s(literal 4 binary64)) x #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>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | 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) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (- 1 x) (- 3 x)) (+ (* (- x 4) x) 3) (- 1 x)) |
| 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) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (- 1 x) (- 3 x)) (+ (* (- x 4) x) 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) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (- 1 x) (- 3 x)) (+ (* (- x 4) x) 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) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (- 1 x) (- 3 x)) (+ (* (- x 4) x) 3) (- 1 x)) |
| 1.0ms | x | @ | 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) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (- 1 x) (- 3 x)) (+ (* (- x 4) x) 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 | 2232 |
| 1 | 319 | 2232 |
| 2 | 818 | 2208 |
| 3 | 2387 | 2108 |
| 4 | 6828 | 2108 |
| 0 | 8209 | 1938 |
| 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)) |
3 |
(+ 3 (* -4 x)) |
(+ 3 (* x (- x 4))) |
(+ 3 (* x (- x 4))) |
3 |
(+ 3 (* -4 x)) |
(+ 3 (* x (- x 4))) |
(+ 3 (* x (- x 4))) |
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)))) |
(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 (/ 3 (pow x 2))) (* 4 (/ 1 x)))) |
(* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x)))) |
(* -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)))) |
(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 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) 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 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
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(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)) |
(fma.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 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)) |
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)) |
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 |
#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) |
(* 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) 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)))) |
(fma.f64 (-.f64 x #s(literal 4 binary64)) (/.f64 x y) (/.f64 #s(literal 3 binary64) y)) |
(* (pow x 2) (- (+ (/ 1 y) (/ 3 (* (pow x 2) y))) (/ 4 (* x 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) |
(* x (- (* 3 (/ 1 (* x y))) (/ 1 y))) |
(/.f64 (-.f64 #s(literal 3 binary64) x) y) |
(* x (- (* 3 (/ 1 (* x y))) (/ 1 y))) |
(/.f64 (-.f64 #s(literal 3 binary64) x) y) |
(* x (- (* 3 (/ 1 (* x y))) (/ 1 y))) |
(/.f64 (-.f64 #s(literal 3 binary64) x) y) |
(* -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) |
(* 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)) |
(* 1/3 (/ (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) |
(*.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)) |
(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 (/ 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 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)) |
(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 (* -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 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) |
| 5 374× | lower-fma.f32 |
| 5 372× | lower-fma.f64 |
| 5 128× | lower-*.f32 |
| 5 120× | lower-*.f64 |
| 4 768× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 157 |
| 0 | 41 | 157 |
| 1 | 164 | 157 |
| 2 | 1049 | 157 |
| 0 | 8565 | 157 |
| 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 #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))) |
#s(approx (* (- 1 x) (- 3 x)) (fma.f64 (-.f64 x #s(literal 4 binary64)) x #s(literal 3 binary64))) |
(fma.f64 (-.f64 x #s(literal 4 binary64)) x #s(literal 3 binary64)) |
(-.f64 #s(literal 1 binary64) x) |
| Outputs |
|---|
(*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 3 binary64) x) y)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 3 binary64) x) y)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (-.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (pow.f64 y #s(literal -1 binary64))) (-.f64 #s(literal 3 binary64) x)) |
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 3 binary64) x) y)) |
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (-.f64 #s(literal 3 binary64) x)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 3 binary64) x)) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 3 binary64)))) (pow.f64 y #s(literal -1 binary64))) |
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(fma.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))) |
(fma.f64 #s(literal 1 binary64) (neg.f64 x) #s(literal 1 binary64)) |
(fma.f64 x #s(literal -1 binary64) #s(literal 1 binary64)) |
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x))) |
(-.f64 (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) |
(-.f64 #s(literal 0 binary64) (-.f64 x #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) x) |
(+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)))) |
(+.f64 (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))) |
(+.f64 (neg.f64 x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (neg.f64 x)) |
Compiled 26 598 to 3 602 computations (86.5% saved)
18 alts after pruning (14 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 563 | 11 | 1 574 |
| Fresh | 7 | 3 | 10 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 571 | 18 | 1 589 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 56.7% | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(approx (- 3 x) #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) |
| 45.1% | (/.f64 (*.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) #s(literal 1/3 binary64)) y) | |
| 44.4% | (/.f64 (*.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) #s(literal 1/3 binary64)) y) | |
| 48.4% | (/.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) x)) #s(literal 3 binary64)) | |
| ✓ | 95.7% | (/.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))) |
| 57.2% | (/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(approx (- x 4) #s(literal -4 binary64)) x #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) | |
| ✓ | 45.1% | (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64))) |
| 7.7% | (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 #s(approx (- x 4) #s(literal -4 binary64)) x)) (*.f64 y #s(literal 3 binary64))) | |
| ✓ | 44.4% | (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) |
| ▶ | 53.7% | (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(approx (+ (* (- x 4) x) 3) #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) |
| 95.5% | (*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 (-.f64 x #s(literal 4 binary64)) x #s(literal 3 binary64))) y) #s(literal 1/3 binary64)) | |
| ▶ | 44.4% | (*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) y) #s(literal 1/3 binary64)) |
| ▶ | 99.5% | (*.f64 (neg.f64 (-.f64 #s(literal 3 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal -3 binary64) y))) |
| 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))) | |
| ▶ | 49.1% | #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)))) |
| 48.4% | #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64))) | |
| ✓ | 53.8% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
| 48.4% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)) |
Compiled 291 to 264 computations (9.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (- 3 x) #s(literal 3 binary64)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(literal 1 binary64) x) #s(approx (- 3 x) #s(literal 3 binary64))) | |
| cost-diff | 128 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(approx (- 3 x) #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) | |
| 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 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)) y) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) y) #s(literal 1/3 binary64)) | |
| cost-diff | 0 | (*.f64 y #s(literal 3 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (- x 4) x) 3) #s(literal 3 binary64)) | |
| cost-diff | 0 | #s(approx (* (- 1 x) (- 3 x)) #s(approx (+ (* (- x 4) x) 3) #s(literal 3 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(approx (+ (* (- x 4) x) 3) #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) | |
| cost-diff | 0 | (-.f64 #s(literal 3 binary64) x) | |
| cost-diff | 0 | (*.f64 (neg.f64 (-.f64 #s(literal 3 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal -3 binary64) y))) | |
| cost-diff | 128 | (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal -3 binary64) y)) | |
| cost-diff | 128 | (neg.f64 (-.f64 #s(literal 3 binary64) x)) |
| 7 646× | lower-fma.f32 |
| 7 644× | lower-fma.f64 |
| 2 512× | lower-*.f32 |
| 2 498× | lower-*.f64 |
| 1 514× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 210 |
| 0 | 56 | 210 |
| 1 | 113 | 208 |
| 2 | 269 | 208 |
| 3 | 697 | 208 |
| 4 | 2432 | 208 |
| 5 | 6136 | 208 |
| 0 | 8129 | 201 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (neg.f64 (-.f64 #s(literal 3 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal -3 binary64) y))) |
(neg.f64 (-.f64 #s(literal 3 binary64) x)) |
(-.f64 #s(literal 3 binary64) x) |
#s(literal 3 binary64) |
x |
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal -3 binary64) y)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
(*.f64 #s(literal -3 binary64) y) |
#s(literal -3 binary64) |
y |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(approx (+ (* (- x 4) x) 3) #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) |
#s(approx (* (- 1 x) (- 3 x)) #s(approx (+ (* (- x 4) x) 3) #s(literal 3 binary64))) |
#s(approx (+ (* (- x 4) x) 3) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(*.f64 y #s(literal 3 binary64)) |
y |
(*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) y) #s(literal 1/3 binary64)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) y) |
#s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) |
(*.f64 x x) |
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) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(approx (- 3 x) #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) #s(approx (- 3 x) #s(literal 3 binary64))) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(approx (- 3 x) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(*.f64 y #s(literal 3 binary64)) |
y |
| Outputs |
|---|
(*.f64 (neg.f64 (-.f64 #s(literal 3 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal -3 binary64) y))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1 binary64)) y) (-.f64 x #s(literal 1 binary64))) |
(neg.f64 (-.f64 #s(literal 3 binary64) x)) |
(-.f64 x #s(literal 3 binary64)) |
(-.f64 #s(literal 3 binary64) x) |
#s(literal 3 binary64) |
x |
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal -3 binary64) y)) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/3 binary64)) y) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
(*.f64 #s(literal -3 binary64) y) |
(*.f64 y #s(literal -3 binary64)) |
#s(literal -3 binary64) |
y |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(approx (+ (* (- x 4) x) 3) #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) |
#s(approx (* (- 1 x) (- 3 x)) #s(approx (+ (* (- x 4) x) 3) #s(literal 3 binary64))) |
#s(approx (+ (* (- x 4) x) 3) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(*.f64 y #s(literal 3 binary64)) |
y |
(*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) y) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) y) #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x))) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) y) |
#s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) |
(*.f64 x x) |
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 (/ (* (/ (- 3 x) y) (- 1 x)) 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) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(approx (- 3 x) #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) #s(approx (- 3 x) #s(literal 3 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) #s(approx (- 3 x) #s(literal 3 binary64))) |
(*.f64 #s(approx (- 3 x) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(approx (- 3 x) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(*.f64 y #s(literal 3 binary64)) |
y |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 y #s(literal 3 binary64)) | |
| accuracy | 0.00390625 | (*.f64 (-.f64 #s(literal 1 binary64) x) #s(approx (- 3 x) #s(literal 3 binary64))) | |
| accuracy | 2.782547957092217 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(approx (- 3 x) #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) | |
| accuracy | 30.016613771532757 | #s(approx (- 3 x) #s(literal 3 binary64)) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0.18359375 | (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) | |
| accuracy | 0.21484375 | (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) | |
| accuracy | 32.47166893709194 | #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 x) | |
| accuracy | 0.27734375 | (*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) y) #s(literal 1/3 binary64)) | |
| accuracy | 2.6255922376250393 | (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) y) | |
| accuracy | 33.06170055643985 | #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) | |
| accuracy | 0 | (*.f64 y #s(literal 3 binary64)) | |
| accuracy | 0 | #s(approx (* (- 1 x) (- 3 x)) #s(approx (+ (* (- x 4) x) 3) #s(literal 3 binary64))) | |
| accuracy | 2.782547957092217 | (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(approx (+ (* (- x 4) x) 3) #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) | |
| accuracy | 29.71999135094689 | #s(approx (+ (* (- x 4) x) 3) #s(literal 3 binary64)) | |
| accuracy | 0 | (*.f64 #s(literal -3 binary64) y) | |
| accuracy | 0 | (neg.f64 (-.f64 #s(literal 3 binary64) x)) | |
| accuracy | 0.21875 | (*.f64 (neg.f64 (-.f64 #s(literal 3 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal -3 binary64) y))) | |
| accuracy | 0.26953125 | (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal -3 binary64) y)) |
| 79.0ms | 256× | 0 | valid |
Compiled 165 to 32 computations (80.6% saved)
ival-mult: 36.0ms (61% of total)ival-div: 9.0ms (15.3% of total)const: 6.0ms (10.2% of total)ival-sub: 4.0ms (6.8% of total)ival-add: 2.0ms (3.4% of total)ival-neg: 1.0ms (1.7% 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 (neg.f64 (-.f64 #s(literal 3 binary64) x)) (patch (neg.f64 (-.f64 #s(literal 3 binary64) x)) #<representation:binary64>) () ()) |
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal -3 binary64) y)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal -3 binary64) y)) #<representation:binary64>) () ()) |
#s(alt (*.f64 (neg.f64 (-.f64 #s(literal 3 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal -3 binary64) y))) (patch (*.f64 (neg.f64 (-.f64 #s(literal 3 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal -3 binary64) y))) #<representation:binary64>) () ()) |
#s(alt (-.f64 #s(literal 3 binary64) x) (patch (-.f64 #s(literal 3 binary64) x) #<representation:binary64>) () ()) |
#s(alt (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(approx (+ (* (- x 4) x) 3) #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(approx (+ (* (- x 4) x) 3) #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) #<representation:binary64>) () ()) |
#s(alt #s(approx (* (- 1 x) (- 3 x)) #s(approx (+ (* (- x 4) x) 3) #s(literal 3 binary64))) (patch #s(approx (* (- 1 x) (- 3 x)) #s(approx (+ (* (- x 4) x) 3) #s(literal 3 binary64))) #<representation:binary64>) () ()) |
#s(alt #s(approx (+ (* (- x 4) x) 3) #s(literal 3 binary64)) (patch #s(approx (+ (* (- x 4) x) 3) #s(literal 3 binary64)) #<representation:binary64>) () ()) |
#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation:binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) y) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) y) #s(literal 1/3 binary64)) #<representation:binary64>) () ()) |
#s(alt (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) y) (patch (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) y) #<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 #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 (/.f64 x y) (patch (/.f64 x y) #<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 (-.f64 #s(literal 1 binary64) x) #s(approx (- 3 x) #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(approx (- 3 x) #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) #<representation:binary64>) () ()) |
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) #s(approx (- 3 x) #s(literal 3 binary64))) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) #s(approx (- 3 x) #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 #s(approx (- 3 x) #s(literal 3 binary64)) (patch #s(approx (- 3 x) #s(literal 3 binary64)) #<representation:binary64>) () ()) |
#s(alt (*.f64 #s(literal -3 binary64) y) (patch (*.f64 #s(literal -3 binary64) y) #<representation:binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1/3 (/ (- 1 x) y)) (taylor 0 y) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal -3 binary64) y)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal -3 binary64) y)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1/3 (/ (- 1 x) y)) (taylor 0 y) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal -3 binary64) y)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal -3 binary64) y)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1/3 (/ (- 1 x) y)) (taylor 0 y) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal -3 binary64) y)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal -3 binary64) y)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1/3 (/ (- 1 x) y)) (taylor 0 y) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal -3 binary64) y)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal -3 binary64) y)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1/3 (/ (* (- 1 x) (- x 3)) y)) (taylor 0 y) (#s(alt (*.f64 (neg.f64 (-.f64 #s(literal 3 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal -3 binary64) y))) (patch (*.f64 (neg.f64 (-.f64 #s(literal 3 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal -3 binary64) y))) #<representation:binary64>) () ())) ()) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | y | @ | inf | ((neg (- 3 x)) (/ (- 1 x) (* -3 y)) (* (neg (- 3 x)) (/ (- 1 x) (* -3 y))) (- 3 x) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (- 1 x) (- 3 x)) (+ (* (- x 4) x) 3) (* y 3) (* (/ (* (- 1 x) (- 3 x)) y) 1/3) (/ (* (- 1 x) (- 3 x)) y) (* (- 1 x) (- 3 x)) (* x x) (/ (* (/ (- 3 x) y) (- 1 x)) 3) (* (/ x y) (+ (* x 1/3) -4/3)) (/ x y) (+ (* x 1/3) -4/3) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (- 1 x) (- 3 x)) (- 1 x) (- 3 x) (* -3 y)) |
| 4.0ms | x | @ | 0 | ((neg (- 3 x)) (/ (- 1 x) (* -3 y)) (* (neg (- 3 x)) (/ (- 1 x) (* -3 y))) (- 3 x) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (- 1 x) (- 3 x)) (+ (* (- x 4) x) 3) (* y 3) (* (/ (* (- 1 x) (- 3 x)) y) 1/3) (/ (* (- 1 x) (- 3 x)) y) (* (- 1 x) (- 3 x)) (* x x) (/ (* (/ (- 3 x) y) (- 1 x)) 3) (* (/ x y) (+ (* x 1/3) -4/3)) (/ x y) (+ (* x 1/3) -4/3) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (- 1 x) (- 3 x)) (- 1 x) (- 3 x) (* -3 y)) |
| 4.0ms | y | @ | 0 | ((neg (- 3 x)) (/ (- 1 x) (* -3 y)) (* (neg (- 3 x)) (/ (- 1 x) (* -3 y))) (- 3 x) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (- 1 x) (- 3 x)) (+ (* (- x 4) x) 3) (* y 3) (* (/ (* (- 1 x) (- 3 x)) y) 1/3) (/ (* (- 1 x) (- 3 x)) y) (* (- 1 x) (- 3 x)) (* x x) (/ (* (/ (- 3 x) y) (- 1 x)) 3) (* (/ x y) (+ (* x 1/3) -4/3)) (/ x y) (+ (* x 1/3) -4/3) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (- 1 x) (- 3 x)) (- 1 x) (- 3 x) (* -3 y)) |
| 3.0ms | y | @ | -inf | ((neg (- 3 x)) (/ (- 1 x) (* -3 y)) (* (neg (- 3 x)) (/ (- 1 x) (* -3 y))) (- 3 x) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (- 1 x) (- 3 x)) (+ (* (- x 4) x) 3) (* y 3) (* (/ (* (- 1 x) (- 3 x)) y) 1/3) (/ (* (- 1 x) (- 3 x)) y) (* (- 1 x) (- 3 x)) (* x x) (/ (* (/ (- 3 x) y) (- 1 x)) 3) (* (/ x y) (+ (* x 1/3) -4/3)) (/ x y) (+ (* x 1/3) -4/3) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (- 1 x) (- 3 x)) (- 1 x) (- 3 x) (* -3 y)) |
| 2.0ms | x | @ | inf | ((neg (- 3 x)) (/ (- 1 x) (* -3 y)) (* (neg (- 3 x)) (/ (- 1 x) (* -3 y))) (- 3 x) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (- 1 x) (- 3 x)) (+ (* (- x 4) x) 3) (* y 3) (* (/ (* (- 1 x) (- 3 x)) y) 1/3) (/ (* (- 1 x) (- 3 x)) y) (* (- 1 x) (- 3 x)) (* x x) (/ (* (/ (- 3 x) y) (- 1 x)) 3) (* (/ x y) (+ (* x 1/3) -4/3)) (/ x y) (+ (* x 1/3) -4/3) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (- 1 x) (- 3 x)) (- 1 x) (- 3 x) (* -3 y)) |
| 1× | egg-herbie |
| 11 100× | lower-fma.f64 |
| 11 100× | lower-fma.f32 |
| 4 274× | lower-*.f64 |
| 4 274× | lower-*.f32 |
| 2 254× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 128 | 2610 |
| 1 | 368 | 2550 |
| 2 | 966 | 2538 |
| 3 | 2808 | 2478 |
| 0 | 8042 | 2257 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1/3 (/ (- 1 x) y)) |
(* -1/3 (/ (- 1 x) y)) |
(* -1/3 (/ (- 1 x) y)) |
(* -1/3 (/ (- 1 x) y)) |
(* -1/3 (/ (* (- 1 x) (- x 3)) y)) |
(* -1/3 (/ (* (- 1 x) (- x 3)) y)) |
(* -1/3 (/ (* (- 1 x) (- x 3)) y)) |
(* -1/3 (/ (* (- 1 x) (- x 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)) |
(/ (* (- 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)) |
(/ (* 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) |
(/ 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)) |
(* -3 y) |
(* -3 y) |
(* -3 y) |
(* -3 y) |
(* -1/3 (/ (- 1 x) y)) |
(* -1/3 (/ (- 1 x) y)) |
(* -1/3 (/ (- 1 x) y)) |
(* -1/3 (/ (- 1 x) y)) |
(* -1/3 (/ (* (- 1 x) (- x 3)) y)) |
(* -1/3 (/ (* (- 1 x) (- x 3)) y)) |
(* -1/3 (/ (* (- 1 x) (- x 3)) y)) |
(* -1/3 (/ (* (- 1 x) (- x 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)) |
(/ (* (- 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)) |
(/ (* 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) |
(/ 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)) |
(* -3 y) |
(* -3 y) |
(* -3 y) |
(* -3 y) |
(* -1/3 (/ (- 1 x) y)) |
(* -1/3 (/ (- 1 x) y)) |
(* -1/3 (/ (- 1 x) y)) |
(* -1/3 (/ (- 1 x) y)) |
(* -1/3 (/ (* (- 1 x) (- x 3)) y)) |
(* -1/3 (/ (* (- 1 x) (- x 3)) y)) |
(* -1/3 (/ (* (- 1 x) (- x 3)) y)) |
(* -1/3 (/ (* (- 1 x) (- x 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)) |
(/ (* (- 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)) |
(/ (* 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) |
(/ 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)) |
(* -3 y) |
(* -3 y) |
(* -3 y) |
(* -3 y) |
-3 |
(- x 3) |
(- x 3) |
(- x 3) |
(/ -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 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 (* -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)) |
3 |
(+ 3 (* -4 x)) |
(+ 3 (* x (- x 4))) |
(+ 3 (* x (- x 4))) |
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)) |
(/ 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))) |
(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)) |
(* -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)))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x 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)) |
3 |
(+ 3 (* -4 x)) |
(+ 3 (* x (- x 4))) |
(+ 3 (* x (- x 4))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
3 |
(+ 3 (* -1 x)) |
(+ 3 (* -1 x)) |
(+ 3 (* -1 x)) |
x |
(* x (- 1 (* 3 (/ 1 x)))) |
(* x (- 1 (* 3 (/ 1 x)))) |
(* x (- 1 (* 3 (/ 1 x)))) |
(* 1/3 (/ x y)) |
(* x (- (* 1/3 (/ 1 y)) (* 1/3 (/ 1 (* x y))))) |
(* x (- (* 1/3 (/ 1 y)) (* 1/3 (/ 1 (* x y))))) |
(* x (- (* 1/3 (/ 1 y)) (* 1/3 (/ 1 (* 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 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)))) |
(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 (/ 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)))) |
(/ (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) |
(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)))) |
(* 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))))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ 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)))) |
(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 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)) |
x |
(* -1 (* x (- (* 3 (/ 1 x)) 1))) |
(* -1 (* x (- (* 3 (/ 1 x)) 1))) |
(* -1 (* x (- (* 3 (/ 1 x)) 1))) |
(* 1/3 (/ x y)) |
(* -1 (* x (- (* 1/3 (/ 1 (* x y))) (* 1/3 (/ 1 y))))) |
(* -1 (* x (- (* 1/3 (/ 1 (* x y))) (* 1/3 (/ 1 y))))) |
(* -1 (* x (- (* 1/3 (/ 1 (* x y))) (* 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 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)))) |
(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 (* -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)))) |
(/ (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) |
(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)))) |
(* 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))))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ 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)))) |
(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 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) y)) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/3 binary64)) y) |
(* -1/3 (/ (- 1 x) y)) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/3 binary64)) y) |
(* -1/3 (/ (- 1 x) y)) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/3 binary64)) y) |
(* -1/3 (/ (- 1 x) y)) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/3 binary64)) y) |
(* -1/3 (/ (* (- 1 x) (- x 3)) y)) |
(*.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(* -1/3 (/ (* (- 1 x) (- x 3)) y)) |
(*.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(* -1/3 (/ (* (- 1 x) (- x 3)) y)) |
(*.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(* -1/3 (/ (* (- 1 x) (- x 3)) y)) |
(*.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
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(/.f64 #s(literal 1 binary64) y) |
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(fma.f64 (/.f64 #s(literal -4/3 binary64) y) x (/.f64 #s(literal 1 binary64) y)) |
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#s(literal 3 binary64) |
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(fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)) |
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(/.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x) y) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #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 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x (/.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)) |
(* -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) |
| 5 272× | lower-/.f32 |
| 5 262× | lower-/.f64 |
| 3 624× | lower-*.f32 |
| 3 610× | lower-*.f64 |
| 2 286× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 186 |
| 0 | 56 | 186 |
| 1 | 214 | 184 |
| 2 | 1565 | 184 |
| 0 | 8405 | 181 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(neg.f64 (-.f64 #s(literal 3 binary64) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal -3 binary64) y)) |
(*.f64 (neg.f64 (-.f64 #s(literal 3 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal -3 binary64) y))) |
(-.f64 #s(literal 3 binary64) x) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(approx (+ (* (- x 4) x) 3) #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) |
#s(approx (* (- 1 x) (- 3 x)) #s(approx (+ (* (- x 4) x) 3) #s(literal 3 binary64))) |
#s(approx (+ (* (- x 4) x) 3) #s(literal 3 binary64)) |
(*.f64 y #s(literal 3 binary64)) |
(*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) y) #s(literal 1/3 binary64)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) y) |
#s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) |
(*.f64 x x) |
#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) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(approx (- 3 x) #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) #s(approx (- 3 x) #s(literal 3 binary64))) |
(-.f64 #s(literal 1 binary64) x) |
#s(approx (- 3 x) #s(literal 3 binary64)) |
(*.f64 #s(literal -3 binary64) y) |
| Outputs |
|---|
(*.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) #s(literal 0 binary64)))) |
(*.f64 (neg.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x))) (pow.f64 (+.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (-.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x #s(literal 3 binary64))))) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 3 binary64) x)) |
(*.f64 (-.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))))) |
(*.f64 (-.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal -3 binary64) x)) |
(*.f64 (+.f64 #s(literal -3 binary64) x) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal -3 binary64) x) (+.f64 #s(literal -3 binary64) x))) (-.f64 #s(literal 3 binary64) x)) |
(/.f64 (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 (neg.f64 x) #s(literal -1 binary64)))) (-.f64 #s(literal -3 binary64) (*.f64 (neg.f64 x) #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal -27 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 9 binary64) (fma.f64 x x (*.f64 #s(literal -3 binary64) (neg.f64 x))))) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal -3 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (+.f64 #s(literal -3 binary64) x) (+.f64 #s(literal -3 binary64) x)) (*.f64 #s(literal 0 binary64) (+.f64 #s(literal -3 binary64) x))))) |
(/.f64 (+.f64 #s(literal -27 binary64) (pow.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 9 binary64) (-.f64 (*.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 (neg.f64 x) #s(literal -1 binary64))) (*.f64 #s(literal -3 binary64) (*.f64 (neg.f64 x) #s(literal -1 binary64)))))) |
(/.f64 (+.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 9 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal -3 binary64) x)))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)))) (+.f64 #s(literal -3 binary64) x)) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)))) (neg.f64 (+.f64 x #s(literal 3 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)))) |
(/.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 2 binary64))) (-.f64 #s(literal 3 binary64) x)) |
(/.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) #s(literal 0 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x))) (neg.f64 (neg.f64 (+.f64 x #s(literal 3 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x))) (+.f64 x #s(literal 3 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))) |
(/.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) (+.f64 #s(literal -3 binary64) (neg.f64 x))) |
(/.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) (-.f64 #s(literal -3 binary64) x)) |
(/.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) (neg.f64 (+.f64 x #s(literal 3 binary64)))) |
(/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 3 binary64) x) (neg.f64 (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) #s(literal 0 binary64)) (neg.f64 (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 3 binary64)) (neg.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) (neg.f64 (-.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (+.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 9 binary64) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))) (-.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))))) |
(neg.f64 (-.f64 #s(literal 3 binary64) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 3 binary64) x)) (/.f64 (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 3 binary64) x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) #s(literal 0 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) #s(literal 0 binary64)))) |
(-.f64 (/.f64 #s(literal 9 binary64) (neg.f64 (+.f64 x #s(literal 3 binary64)))) (/.f64 (*.f64 x x) (neg.f64 (+.f64 x #s(literal 3 binary64))))) |
(-.f64 (/.f64 #s(literal 27 binary64) (neg.f64 (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 3 binary64) x)) |
(-.f64 #s(literal -3 binary64) (neg.f64 x)) |
(+.f64 #s(literal 0 binary64) (+.f64 #s(literal -3 binary64) x)) |
(+.f64 #s(literal -3 binary64) (*.f64 (neg.f64 x) #s(literal -1 binary64))) |
(+.f64 #s(literal -3 binary64) x) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 y #s(literal 3 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 y)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 3 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) y) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal -3 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -3 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) y)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (neg.f64 y))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 y #s(literal 3 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (neg.f64 y)) (/.f64 (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) y) (/.f64 (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -3 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -3 binary64)) (/.f64 (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)) y)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (/.f64 (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 y))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) y)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 y)) #s(literal 1/3 binary64)) |
(*.f64 (pow.f64 (/.f64 (*.f64 y #s(literal -3 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 y #s(literal -3 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal -1/3 binary64) y)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/3 binary64) y)) (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 x y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1/3 binary64) y) (*.f64 #s(literal -1/3 binary64) (/.f64 x y))))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (+.f64 #s(literal -1 binary64) x) #s(literal -1/3 binary64))) |
(*.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 x y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 x y)) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -1/3 binary64) y) (*.f64 #s(literal -1/3 binary64) (/.f64 x y))))))) |
(*.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(*.f64 (-.f64 (*.f64 y #s(literal -3 binary64)) (*.f64 (*.f64 y #s(literal -3 binary64)) x)) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y #s(literal -3 binary64)) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (+.f64 #s(literal -1 binary64) x) #s(literal -1/3 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (*.f64 (+.f64 #s(literal -1 binary64) x) #s(literal 1/3 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 y #s(literal -3 binary64))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y #s(literal -3 binary64)) (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 y (/.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) x)))))) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) x) #s(literal 1/3 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (*.f64 y #s(literal -3 binary64))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y #s(literal -3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1/3 binary64)) |
(*.f64 (/.f64 #s(literal -1/3 binary64) y) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (+.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1/3 binary64) y)) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1/3 binary64) y)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(pow.f64 (*.f64 y (/.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal 2 binary64)) (*.f64 (neg.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 x y))) (neg.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 x y))))) (-.f64 (/.f64 #s(literal -1/3 binary64) y) (neg.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 x y))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 x y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 x y))) (neg.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 x y)))) (*.f64 (/.f64 #s(literal -1/3 binary64) y) (neg.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 x y))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal -1/3 binary64) y))) (neg.f64 (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/3 binary64) y))) (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 x y)) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) (*.f64 #s(literal -1/3 binary64) (/.f64 x y))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 x y)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 x y)) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -1/3 binary64) y) (*.f64 #s(literal -1/3 binary64) (/.f64 x y))))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -1 binary64) x) #s(literal -1/3 binary64))) y) |
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(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 3 binary64)) |
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(*.f64 #s(literal 3 binary64) (neg.f64 y)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 y #s(literal -3 binary64)) #s(literal 2 binary64))) (*.f64 y #s(literal 3 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 y #s(literal -3 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 y #s(literal 3 binary64)))))) |
(/.f64 (*.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)) |
(/.f64 (*.f64 y #s(literal -3 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) y)) |
(neg.f64 (*.f64 y #s(literal 3 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 y #s(literal 3 binary64))) |
(+.f64 #s(literal 0 binary64) (*.f64 y #s(literal -3 binary64))) |
Compiled 19 958 to 2 774 computations (86.1% saved)
21 alts after pruning (15 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 282 | 10 | 1 292 |
| Fresh | 4 | 5 | 9 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 289 | 21 | 1 310 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 44.4% | (/.f64 (*.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) #s(literal 1/3 binary64)) y) |
| 48.4% | (/.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) x)) #s(literal 3 binary64)) | |
| ✓ | 95.7% | (/.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))) |
| 57.2% | (/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(approx (- x 4) #s(literal -4 binary64)) x #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) | |
| ✓ | 45.1% | (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64))) |
| ✓ | 44.4% | (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) |
| ✓ | 53.7% | (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(approx (+ (* (- x 4) x) 3) #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) |
| ▶ | 99.7% | (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 y #s(literal -3 binary64))) (+.f64 #s(literal -1 binary64) x)) |
| 56.9% | (*.f64 (/.f64 (*.f64 #s(approx (- 3 x) #s(literal 3 binary64)) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 1 binary64) x)) | |
| ▶ | 57.1% | (*.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)) |
| ✓ | 44.4% | (*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) y) #s(literal 1/3 binary64)) |
| 53.5% | (*.f64 (/.f64 #s(literal 1/3 binary64) y) #s(approx (* (- 1 x) (- 3 x)) #s(approx (+ (* (- x 4) x) 3) #s(literal 3 binary64)))) | |
| 56.4% | (*.f64 (neg.f64 (-.f64 #s(literal 3 binary64) x)) #s(approx (/ (- 1 x) (* -3 y)) (/.f64 #s(literal -1/3 binary64) y))) | |
| 48.4% | (*.f64 #s(approx (/ (* (- 1 x) (- 3 x)) y) (*.f64 (/.f64 x y) x)) #s(literal 1/3 binary64)) | |
| 45.1% | #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)) | |
| 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))) | |
| 7.7% | #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) #s(literal -4/3 binary64)))) | |
| 49.1% | #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))) | |
| ▶ | 7.7% | #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))) |
| ✓ | 53.8% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
| ▶ | 48.4% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)) |
Compiled 310 to 290 computations (6.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)) | |
| cost-diff | 0 | #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) y) | |
| cost-diff | 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)) | |
| 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)) #s(literal 1/3 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) #s(literal 1/3 binary64)) y) | |
| 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 -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 | (*.f64 y #s(literal -3 binary64)) | |
| cost-diff | 0 | (-.f64 #s(literal 3 binary64) x) | |
| cost-diff | 0 | (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 y #s(literal -3 binary64))) (+.f64 #s(literal -1 binary64) x)) | |
| cost-diff | 128 | (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 y #s(literal -3 binary64))) |
| 13 500× | lower-fma.f32 |
| 13 498× | lower-fma.f64 |
| 3 490× | lower-*.f32 |
| 3 474× | lower-*.f64 |
| 1 656× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 218 |
| 0 | 59 | 218 |
| 1 | 122 | 218 |
| 2 | 258 | 218 |
| 3 | 539 | 218 |
| 4 | 1603 | 218 |
| 5 | 5239 | 218 |
| 0 | 8059 | 212 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 y #s(literal -3 binary64))) (+.f64 #s(literal -1 binary64) x)) |
(/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 y #s(literal -3 binary64))) |
(-.f64 #s(literal 3 binary64) x) |
#s(literal 3 binary64) |
x |
(*.f64 y #s(literal -3 binary64)) |
y |
#s(literal -3 binary64) |
(+.f64 #s(literal -1 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(literal -4/3 binary64) |
y |
x |
#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) |
(/.f64 (*.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) #s(literal 1/3 binary64)) y) |
(*.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) #s(literal 1/3 binary64)) |
#s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) |
(*.f64 x x) |
x |
#s(literal 1/3 binary64) |
y |
(*.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))) y) |
#s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) |
(fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)) |
#s(literal -4 binary64) |
x |
#s(literal 3 binary64) |
y |
#s(literal 1/3 binary64) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 y #s(literal -3 binary64))) (+.f64 #s(literal -1 binary64) x)) |
(*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/3 binary64)) (/.f64 (-.f64 x #s(literal 3 binary64)) y)) |
(/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 y #s(literal -3 binary64))) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1 binary64)) y) |
(-.f64 #s(literal 3 binary64) x) |
#s(literal 3 binary64) |
x |
(*.f64 y #s(literal -3 binary64)) |
(*.f64 #s(literal -3 binary64) y) |
y |
#s(literal -3 binary64) |
(+.f64 #s(literal -1 binary64) x) |
(-.f64 x #s(literal 1 binary64)) |
#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 (/ (* (/ (- 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 (/ (* (- 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 (/.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 (/.f64 #s(literal 1/3 binary64) y) x) |
(/.f64 x y) |
x |
y |
#s(literal 1/3 binary64) |
(/.f64 (*.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) #s(literal 1/3 binary64)) y) |
(*.f64 (/.f64 #s(literal 1/3 binary64) y) #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x))) |
(*.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) #s(literal 1/3 binary64)) |
#s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) |
(*.f64 x x) |
x |
#s(literal 1/3 binary64) |
y |
(*.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 (/.f64 #s(literal 1/3 binary64) y) #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)))) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) y) |
#s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) |
(fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)) |
#s(literal -4 binary64) |
x |
#s(literal 3 binary64) |
y |
#s(literal 1/3 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)) | |
| accuracy | 0.27734375 | (*.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)) | |
| accuracy | 2.6255922376250393 | (/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) y) | |
| accuracy | 29.66061468034956 | #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.08984375 | (*.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) #s(literal 1/3 binary64)) | |
| accuracy | 2.622391707092217 | (/.f64 (*.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) #s(literal 1/3 binary64)) y) | |
| accuracy | 33.06170055643985 | #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0.1171875 | (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x) | |
| accuracy | 0.296875 | (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) | |
| accuracy | 32.91073769176659 | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)) | |
| accuracy | 0.21484375 | (*.f64 (/.f64 #s(literal -4/3 binary64) y) x) | |
| accuracy | 0.4140625 | (/.f64 #s(literal -4/3 binary64) y) | |
| accuracy | 27.594993618639492 | #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x)) | |
| accuracy | 32.47166893709194 | #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 | (+.f64 #s(literal -1 binary64) x) | |
| accuracy | 0 | (*.f64 y #s(literal -3 binary64)) | |
| accuracy | 0.0625 | (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 y #s(literal -3 binary64))) (+.f64 #s(literal -1 binary64) x)) | |
| accuracy | 0.19921875 | (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 y #s(literal -3 binary64))) |
| 65.0ms | 256× | 0 | valid |
Compiled 164 to 38 computations (76.8% saved)
ival-mult: 20.0ms (42% of total)ival-div: 14.0ms (29.4% of total)const: 6.0ms (12.6% of total)ival-sub: 3.0ms (6.3% of total)ival-add: 3.0ms (6.3% of total)exact: 1.0ms (2.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 y #s(literal -3 binary64))) (patch (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 y #s(literal -3 binary64))) #<representation:binary64>) () ()) |
#s(alt (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 y #s(literal -3 binary64))) (+.f64 #s(literal -1 binary64) x)) (patch (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 y #s(literal -3 binary64))) (+.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>) () ()) |
#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 (/ (* (- 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 (/.f64 (*.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) #s(literal 1/3 binary64)) y) (patch (/.f64 (*.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) #s(literal 1/3 binary64)) y) #<representation:binary64>) () ()) |
#s(alt (*.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) #s(literal 1/3 binary64)) (patch (*.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) #s(literal 1/3 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 (/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) y) #s(literal 1/3 binary64)) (patch (*.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)) #<representation:binary64>) () ()) |
#s(alt (/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) y) (patch (/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) y) #<representation:binary64>) () ()) |
#s(alt #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) (patch #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) #<representation:binary64>) () ()) |
#s(alt (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)) (patch (fma.f64 #s(literal -4 binary64) x #s(literal 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 (/ (- 3 x) y)) (taylor 0 y) (#s(alt (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 y #s(literal -3 binary64))) (patch (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 y #s(literal -3 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1/3 (/ (- 3 x) y)) (taylor 0 y) (#s(alt (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 y #s(literal -3 binary64))) (patch (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 y #s(literal -3 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1/3 (/ (- 3 x) y)) (taylor 0 y) (#s(alt (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 y #s(literal -3 binary64))) (patch (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 y #s(literal -3 binary64))) #<representation:binary64>) () ())) ()) |
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#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation:binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation:binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation:binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (pow x 2) y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) #s(literal 1/3 binary64)) y) (patch (/.f64 (*.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) #s(literal 1/3 binary64)) y) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) #s(literal 1/3 binary64)) y) (patch (/.f64 (*.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) #s(literal 1/3 binary64)) y) #<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 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) #s(literal 1/3 binary64)) y) (patch (/.f64 (*.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) #s(literal 1/3 binary64)) y) #<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 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) #s(literal 1/3 binary64)) y) (patch (/.f64 (*.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) #s(literal 1/3 binary64)) y) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/3 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) #s(literal 1/3 binary64)) (patch (*.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) #s(literal 1/3 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1/3 (* 4/3 (/ 1 x)))) (taylor -inf x) (#s(alt (*.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) #s(literal 1/3 binary64)) (patch (*.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) #s(literal 1/3 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/3 (* -1 (/ (- 4/3 (/ 1 x)) x)))) (taylor -inf x) (#s(alt (*.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) #s(literal 1/3 binary64)) (patch (*.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) #s(literal 1/3 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/3 (* -1 (/ (- 4/3 (/ 1 x)) x)))) (taylor -inf x) (#s(alt (*.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) #s(literal 1/3 binary64)) (patch (*.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) #s(literal 1/3 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#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 (* (pow x 2) (- 1 (* 4 (/ 1 x)))) (taylor -inf x) (#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 (* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) (taylor -inf x) (#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 (* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) (taylor -inf x) (#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 (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (pow x 2) y)) (taylor -inf x) (#s(alt (*.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)) (patch (*.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)) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) (taylor -inf x) (#s(alt (*.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)) (patch (*.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)) #<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 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) y) #s(literal 1/3 binary64)) (patch (*.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)) #<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 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) y) #s(literal 1/3 binary64)) (patch (*.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)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow x 2) y) (taylor -inf x) (#s(alt (/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) y) (patch (/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) y) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (/ 1 y) (* 4 (/ 1 (* x y))))) (taylor -inf x) (#s(alt (/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) y) (patch (/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) y) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 3 (/ 1 (* x y)))) x)) (/ 1 y))) (taylor -inf x) (#s(alt (/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) y) (patch (/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) y) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 3 (/ 1 (* x y)))) x)) (/ 1 y))) (taylor -inf x) (#s(alt (/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) y) (patch (/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) y) #<representation:binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) (patch #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (* 4 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) (patch #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) (taylor -inf x) (#s(alt #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) (patch #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) (taylor -inf x) (#s(alt #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) (patch #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* -4 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)) (patch (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 4 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)) (patch (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 4 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)) (patch (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 4 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)) (patch (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt 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 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 (- (/ 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 (- (/ 1 x) 1))) (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 | |
|---|---|---|---|---|
| 22.0ms | y | @ | inf | ((/ (- 3 x) (* y -3)) (* (/ (- 3 x) (* y -3)) (+ -1 x)) (- 3 x) (* y -3) (/ (* (/ (- 3 x) y) (- 1 x)) 3) (* (/ x y) (+ (* x 1/3) -4/3)) (* (/ -4/3 y) x) (/ -4/3 y) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (* (/ x y) 1/3) x) (* (/ x y) 1/3) (/ x y) (/ (* (* (- 1 x) (- 3 x)) 1/3) y) (* (* (- 1 x) (- 3 x)) 1/3) (* (- 1 x) (- 3 x)) (* x x) (* (/ (* (- 1 x) (- 3 x)) y) 1/3) (/ (* (- 1 x) (- 3 x)) y) (* (- 1 x) (- 3 x)) (+ (* -4 x) 3) (+ -1 x)) |
| 4.0ms | y | @ | -inf | ((/ (- 3 x) (* y -3)) (* (/ (- 3 x) (* y -3)) (+ -1 x)) (- 3 x) (* y -3) (/ (* (/ (- 3 x) y) (- 1 x)) 3) (* (/ x y) (+ (* x 1/3) -4/3)) (* (/ -4/3 y) x) (/ -4/3 y) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (* (/ x y) 1/3) x) (* (/ x y) 1/3) (/ x y) (/ (* (* (- 1 x) (- 3 x)) 1/3) y) (* (* (- 1 x) (- 3 x)) 1/3) (* (- 1 x) (- 3 x)) (* x x) (* (/ (* (- 1 x) (- 3 x)) y) 1/3) (/ (* (- 1 x) (- 3 x)) y) (* (- 1 x) (- 3 x)) (+ (* -4 x) 3) (+ -1 x)) |
| 4.0ms | y | @ | 0 | ((/ (- 3 x) (* y -3)) (* (/ (- 3 x) (* y -3)) (+ -1 x)) (- 3 x) (* y -3) (/ (* (/ (- 3 x) y) (- 1 x)) 3) (* (/ x y) (+ (* x 1/3) -4/3)) (* (/ -4/3 y) x) (/ -4/3 y) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (* (/ x y) 1/3) x) (* (/ x y) 1/3) (/ x y) (/ (* (* (- 1 x) (- 3 x)) 1/3) y) (* (* (- 1 x) (- 3 x)) 1/3) (* (- 1 x) (- 3 x)) (* x x) (* (/ (* (- 1 x) (- 3 x)) y) 1/3) (/ (* (- 1 x) (- 3 x)) y) (* (- 1 x) (- 3 x)) (+ (* -4 x) 3) (+ -1 x)) |
| 3.0ms | x | @ | inf | ((/ (- 3 x) (* y -3)) (* (/ (- 3 x) (* y -3)) (+ -1 x)) (- 3 x) (* y -3) (/ (* (/ (- 3 x) y) (- 1 x)) 3) (* (/ x y) (+ (* x 1/3) -4/3)) (* (/ -4/3 y) x) (/ -4/3 y) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (* (/ x y) 1/3) x) (* (/ x y) 1/3) (/ x y) (/ (* (* (- 1 x) (- 3 x)) 1/3) y) (* (* (- 1 x) (- 3 x)) 1/3) (* (- 1 x) (- 3 x)) (* x x) (* (/ (* (- 1 x) (- 3 x)) y) 1/3) (/ (* (- 1 x) (- 3 x)) y) (* (- 1 x) (- 3 x)) (+ (* -4 x) 3) (+ -1 x)) |
| 3.0ms | x | @ | -inf | ((/ (- 3 x) (* y -3)) (* (/ (- 3 x) (* y -3)) (+ -1 x)) (- 3 x) (* y -3) (/ (* (/ (- 3 x) y) (- 1 x)) 3) (* (/ x y) (+ (* x 1/3) -4/3)) (* (/ -4/3 y) x) (/ -4/3 y) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (* (/ x y) 1/3) x) (* (/ x y) 1/3) (/ x y) (/ (* (* (- 1 x) (- 3 x)) 1/3) y) (* (* (- 1 x) (- 3 x)) 1/3) (* (- 1 x) (- 3 x)) (* x x) (* (/ (* (- 1 x) (- 3 x)) y) 1/3) (/ (* (- 1 x) (- 3 x)) y) (* (- 1 x) (- 3 x)) (+ (* -4 x) 3) (+ -1 x)) |
| 1× | egg-herbie |
| 9 258× | lower-fma.f64 |
| 9 258× | lower-fma.f32 |
| 3 808× | lower-*.f64 |
| 3 808× | lower-*.f32 |
| 2 560× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 139 | 2898 |
| 1 | 386 | 2838 |
| 2 | 991 | 2826 |
| 3 | 2838 | 2778 |
| 4 | 7838 | 2778 |
| 0 | 8420 | 2556 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1/3 (/ (- 3 x) y)) |
(* -1/3 (/ (- 3 x) y)) |
(* -1/3 (/ (- 3 x) y)) |
(* -1/3 (/ (- 3 x) y)) |
(* -1/3 (/ (* (- 3 x) (- x 1)) y)) |
(* -1/3 (/ (* (- 3 x) (- x 1)) y)) |
(* -1/3 (/ (* (- 3 x) (- x 1)) y)) |
(* -1/3 (/ (* (- 3 x) (- x 1)) 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)) |
(/ (* 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 (/ (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)) |
(* 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 (/ (- 3 x) y)) |
(* -1/3 (/ (- 3 x) y)) |
(* -1/3 (/ (- 3 x) y)) |
(* -1/3 (/ (- 3 x) y)) |
(* -1/3 (/ (* (- 3 x) (- x 1)) y)) |
(* -1/3 (/ (* (- 3 x) (- x 1)) y)) |
(* -1/3 (/ (* (- 3 x) (- x 1)) y)) |
(* -1/3 (/ (* (- 3 x) (- x 1)) 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)) |
(/ (* 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 (/ (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)) |
(* 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 (/ (- 3 x) y)) |
(* -1/3 (/ (- 3 x) y)) |
(* -1/3 (/ (- 3 x) y)) |
(* -1/3 (/ (- 3 x) y)) |
(* -1/3 (/ (* (- 3 x) (- x 1)) y)) |
(* -1/3 (/ (* (- 3 x) (- x 1)) y)) |
(* -1/3 (/ (* (- 3 x) (- x 1)) y)) |
(* -1/3 (/ (* (- 3 x) (- x 1)) 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)) |
(/ (* 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 (/ (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)) |
(* 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) |
(- (* 1/3 (/ x y)) (/ 1 y)) |
(- (* 1/3 (/ x y)) (/ 1 y)) |
(- (* 1/3 (/ x 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 (* -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)) |
(* -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)) |
(* 1/3 (/ (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)) |
1 |
(+ 1 (* -4/3 x)) |
(+ 1 (* x (- (* 1/3 x) 4/3))) |
(+ 1 (* x (- (* 1/3 x) 4/3))) |
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 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))) |
3 |
(+ 3 (* -4 x)) |
(+ 3 (* -4 x)) |
(+ 3 (* -4 x)) |
-1 |
(- x 1) |
(- x 1) |
(- x 1) |
(* 1/3 (/ x y)) |
(* x (- (* 1/3 (/ 1 y)) (/ 1 (* x y)))) |
(* x (- (* 1/3 (/ 1 y)) (/ 1 (* x y)))) |
(* x (- (* 1/3 (/ 1 y)) (/ 1 (* 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 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)) (* 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)) |
(* 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)) |
(* (pow x 2) (- 1/3 (* 4/3 (/ 1 x)))) |
(* (pow x 2) (- (+ 1/3 (/ 1 (pow x 2))) (* 4/3 (/ 1 x)))) |
(* (pow x 2) (- (+ 1/3 (/ 1 (pow x 2))) (* 4/3 (/ 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)))) |
(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) 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)))) |
(* -4 x) |
(* x (- (* 3 (/ 1 x)) 4)) |
(* x (- (* 3 (/ 1 x)) 4)) |
(* x (- (* 3 (/ 1 x)) 4)) |
x |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(* 1/3 (/ x y)) |
(* -1 (* x (- (/ 1 (* x y)) (* 1/3 (/ 1 y))))) |
(* -1 (* x (- (/ 1 (* x y)) (* 1/3 (/ 1 y))))) |
(* -1 (* x (- (/ 1 (* x y)) (* 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 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)) |
(* 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)) |
(* (pow x 2) (- 1/3 (* 4/3 (/ 1 x)))) |
(* (pow x 2) (+ 1/3 (* -1 (/ (- 4/3 (/ 1 x)) x)))) |
(* (pow x 2) (+ 1/3 (* -1 (/ (- 4/3 (/ 1 x)) x)))) |
(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) 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)))) |
(* -4 x) |
(* -1 (* x (- 4 (* 3 (/ 1 x))))) |
(* -1 (* x (- 4 (* 3 (/ 1 x))))) |
(* -1 (* x (- 4 (* 3 (/ 1 x))))) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
| Outputs |
|---|
(* -1/3 (/ (- 3 x) y)) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1 binary64)) y) |
(* -1/3 (/ (- 3 x) y)) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1 binary64)) y) |
(* -1/3 (/ (- 3 x) y)) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1 binary64)) y) |
(* -1/3 (/ (- 3 x) y)) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1 binary64)) y) |
(* -1/3 (/ (* (- 3 x) (- x 1)) y)) |
(*.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* -1/3 (/ (* (- 3 x) (- x 1)) y)) |
(*.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* -1/3 (/ (* (- 3 x) (- x 1)) y)) |
(*.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* -1/3 (/ (* (- 3 x) (- x 1)) y)) |
(*.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* -3 y) |
(*.f64 #s(literal -3 binary64) y) |
(* -3 y) |
(*.f64 #s(literal -3 binary64) y) |
(* -3 y) |
(*.f64 #s(literal -3 binary64) y) |
(* -3 y) |
(*.f64 #s(literal -3 binary64) y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #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 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #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)) |
(* 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 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #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)) |
(* -1/3 (/ (- 3 x) y)) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1 binary64)) y) |
(* -1/3 (/ (- 3 x) y)) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1 binary64)) y) |
(* -1/3 (/ (- 3 x) y)) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1 binary64)) y) |
(* -1/3 (/ (- 3 x) y)) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1 binary64)) y) |
(* -1/3 (/ (* (- 3 x) (- x 1)) y)) |
(*.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* -1/3 (/ (* (- 3 x) (- x 1)) y)) |
(*.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* -1/3 (/ (* (- 3 x) (- x 1)) y)) |
(*.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* -1/3 (/ (* (- 3 x) (- x 1)) y)) |
(*.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* -3 y) |
(*.f64 #s(literal -3 binary64) y) |
(* -3 y) |
(*.f64 #s(literal -3 binary64) y) |
(* -3 y) |
(*.f64 #s(literal -3 binary64) y) |
(* -3 y) |
(*.f64 #s(literal -3 binary64) y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x) |
(* -4/3 (/ x y)) |
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(/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1 binary64)) y) |
(* x (- (* 1/3 (/ 1 y)) (/ 1 (* x y)))) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) x #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 #s(literal 1/3 binary64) x #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 #s(literal 1/3 binary64) x #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 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x (/.f64 #s(literal 1 binary64) y)) |
(* -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) |
(* 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 #s(literal 1/3 binary64) x #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 #s(literal 1/3 binary64) x #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 #s(literal 1/3 binary64) x #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 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #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 #s(literal 1/3 binary64) x #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 #s(literal 1/3 binary64) x #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 #s(literal 1/3 binary64) x #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)) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #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)) |
(* 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 (/ (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 #s(literal 1/3 binary64) x #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 #s(literal 1/3 binary64) x #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 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x (/.f64 #s(literal 1 binary64) y)) |
(* 1/3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/3 binary64)) |
(* (pow x 2) (- 1/3 (* 4/3 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x) |
(* (pow x 2) (- (+ 1/3 (/ 1 (pow x 2))) (* 4/3 (/ 1 x)))) |
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x #s(literal 1 binary64)) |
(* (pow x 2) (- (+ 1/3 (/ 1 (pow x 2))) (* 4/3 (/ 1 x)))) |
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x #s(literal 1 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 (/ 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 (fma.f64 #s(literal 1/3 binary64) x #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 #s(literal 1/3 binary64) x #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 #s(literal 1/3 binary64) x #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 (-.f64 x #s(literal 4 binary64)) x) y) |
(* (pow x 2) (- (+ (/ 1 y) (/ 3 (* (pow x 2) y))) (/ 4 (* x y)))) |
(fma.f64 (/.f64 (/.f64 #s(literal 3 binary64) x) y) x (/.f64 (*.f64 (-.f64 x #s(literal 4 binary64)) x) y)) |
(* (pow x 2) (- (+ (/ 1 y) (/ 3 (* (pow x 2) y))) (/ 4 (* x y)))) |
(fma.f64 (/.f64 (/.f64 #s(literal 3 binary64) x) y) x (/.f64 (*.f64 (-.f64 x #s(literal 4 binary64)) x) 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)) |
(* -4 x) |
(*.f64 #s(literal -4 binary64) x) |
(* x (- (* 3 (/ 1 x)) 4)) |
(fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)) |
(* x (- (* 3 (/ 1 x)) 4)) |
(fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)) |
(* x (- (* 3 (/ 1 x)) 4)) |
(fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)) |
x |
(* x (- 1 (/ 1 x))) |
(-.f64 x #s(literal 1 binary64)) |
(* x (- 1 (/ 1 x))) |
(-.f64 x #s(literal 1 binary64)) |
(* x (- 1 (/ 1 x))) |
(-.f64 x #s(literal 1 binary64)) |
(* 1/3 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 1/3 binary64)) |
(* -1 (* x (- (/ 1 (* x y)) (* 1/3 (/ 1 y))))) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1 binary64)) y) |
(* -1 (* x (- (/ 1 (* x y)) (* 1/3 (/ 1 y))))) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1 binary64)) y) |
(* -1 (* x (- (/ 1 (* x y)) (* 1/3 (/ 1 y))))) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) x #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 #s(literal 1/3 binary64) x #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 #s(literal 1/3 binary64) x #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 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x (/.f64 #s(literal 1 binary64) 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 (fma.f64 #s(literal 1/3 binary64) x #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 #s(literal 1/3 binary64) x #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 #s(literal 1/3 binary64) x #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 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #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 #s(literal 1/3 binary64) x #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 #s(literal 1/3 binary64) x #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 #s(literal 1/3 binary64) x #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)) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #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)) |
(* 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 (/ (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 #s(literal 1/3 binary64) x #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 #s(literal 1/3 binary64) x #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 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x (/.f64 #s(literal 1 binary64) y)) |
(* 1/3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/3 binary64)) |
(* (pow x 2) (- 1/3 (* 4/3 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x) |
(* (pow x 2) (+ 1/3 (* -1 (/ (- 4/3 (/ 1 x)) x)))) |
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x #s(literal 1 binary64)) |
(* (pow x 2) (+ 1/3 (* -1 (/ (- 4/3 (/ 1 x)) x)))) |
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x #s(literal 1 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 (* -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 (fma.f64 #s(literal 1/3 binary64) x #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 #s(literal 1/3 binary64) x #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 #s(literal 1/3 binary64) x #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 (-.f64 x #s(literal 4 binary64)) x) y) |
(* (pow x 2) (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 3 (/ 1 (* x y)))) x)) (/ 1 y))) |
(fma.f64 (/.f64 (/.f64 #s(literal 3 binary64) x) y) x (/.f64 (*.f64 (-.f64 x #s(literal 4 binary64)) x) y)) |
(* (pow x 2) (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 3 (/ 1 (* x y)))) x)) (/ 1 y))) |
(fma.f64 (/.f64 (/.f64 #s(literal 3 binary64) x) y) x (/.f64 (*.f64 (-.f64 x #s(literal 4 binary64)) x) 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)) |
(* -4 x) |
(*.f64 #s(literal -4 binary64) x) |
(* -1 (* x (- 4 (* 3 (/ 1 x))))) |
(fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)) |
(* -1 (* x (- 4 (* 3 (/ 1 x))))) |
(fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)) |
(* -1 (* x (- 4 (* 3 (/ 1 x))))) |
(fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(-.f64 x #s(literal 1 binary64)) |
(* -1 (* x (- (/ 1 x) 1))) |
(-.f64 x #s(literal 1 binary64)) |
(* -1 (* x (- (/ 1 x) 1))) |
(-.f64 x #s(literal 1 binary64)) |
| 5 970× | lower-/.f32 |
| 5 960× | lower-/.f64 |
| 4 308× | lower-*.f32 |
| 4 292× | lower-*.f64 |
| 2 556× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 199 |
| 0 | 59 | 199 |
| 1 | 227 | 199 |
| 2 | 1656 | 199 |
| 0 | 8363 | 197 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 y #s(literal -3 binary64))) |
(*.f64 (/.f64 (-.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)) |
#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 (/ (* (- 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) |
(/.f64 (*.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) #s(literal 1/3 binary64)) y) |
(*.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) #s(literal 1/3 binary64)) |
#s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) |
(*.f64 x 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))) y) |
#s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) |
(fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)) |
(+.f64 #s(literal -1 binary64) x) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) (neg.f64 y)) (/.f64 (pow.f64 (+.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) #s(literal -3 binary64)) (/.f64 (pow.f64 (+.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) y)) |
(*.f64 (/.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) y) (/.f64 (pow.f64 (+.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal -3 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) #s(literal 3 binary64)) (/.f64 (pow.f64 (+.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (neg.f64 y))) |
(*.f64 (/.f64 (-.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) (neg.f64 y)) (/.f64 (pow.f64 (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -3 binary64)) (/.f64 (pow.f64 (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) #s(literal -1 binary64)) y)) |
(*.f64 (/.f64 (-.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) y) (/.f64 (pow.f64 (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) #s(literal -1 binary64)) #s(literal -3 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (/.f64 (pow.f64 (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) #s(literal -1 binary64)) (neg.f64 y))) |
(*.f64 (/.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 (pow.f64 (+.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (*.f64 y #s(literal 3 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) #s(literal -1 binary64)) (*.f64 y #s(literal 3 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) y)) |
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal -3 binary64) y) (-.f64 #s(literal 9 binary64) (*.f64 x x))) #s(literal -1 binary64)) (pow.f64 (+.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal -3 binary64) y) (-.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) (/.f64 #s(literal -1/3 binary64) y)) (pow.f64 (+.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/3 binary64) y)) (pow.f64 (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal -1/3 binary64) y)) |
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) (neg.f64 y)) #s(literal 1/3 binary64)) |
(*.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 x y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1/3 binary64) (/.f64 x y))))) |
(*.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 x y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 x y)) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1/3 binary64) (/.f64 x y))))))) |
(*.f64 (*.f64 (-.f64 #s(literal 3 binary64) x) #s(literal -1/3 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 #s(literal 3 binary64) x) y)) |
(*.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 3 binary64) x))) (/.f64 #s(literal -1/3 binary64) y)) |
(*.f64 (neg.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y)) #s(literal 1/3 binary64)) |
(*.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -3 binary64) y)))) |
(*.f64 (*.f64 (-.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) (*.f64 #s(literal -3 binary64) y)))) |
(*.f64 (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) y)) (*.f64 (*.f64 #s(literal -3 binary64) y) x)) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal -3 binary64) y) #s(literal 2 binary64)))) |
(*.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -3 binary64) y) (+.f64 x #s(literal 3 binary64))))) |
(*.f64 (/.f64 #s(literal -1/3 binary64) y) (-.f64 #s(literal 3 binary64) x)) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -3 binary64) (-.f64 #s(literal 3 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 3 binary64) x) #s(literal -1/3 binary64))) |
(*.f64 (-.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -3 binary64) y) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))))) |
(*.f64 (*.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 1/3 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 1/3 binary64))) |
(*.f64 (neg.f64 (-.f64 #s(literal 3 binary64) x)) (/.f64 #s(literal 1/3 binary64) y)) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 3 binary64) x) (neg.f64 y))) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 #s(literal 3 binary64) x) y))) |
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) #s(literal -1/3 binary64)) |
(*.f64 (-.f64 #s(literal 3 binary64) x) (/.f64 #s(literal -1/3 binary64) y)) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 3 binary64) x) y))) |
(pow.f64 (*.f64 #s(literal -3 binary64) (/.f64 y (-.f64 #s(literal 3 binary64) x))) #s(literal -1 binary64)) |
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 x y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 x y))) (neg.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 x y)))) (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 x y))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) (/.f64 #s(literal -1/3 binary64) y))) (neg.f64 (+.f64 x #s(literal 3 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/3 binary64) y))) (neg.f64 (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 x y)) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1/3 binary64) (/.f64 x y))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 x y)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 x y)) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1/3 binary64) (/.f64 x y))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 3 binary64) x) #s(literal -1/3 binary64))) (neg.f64 y)) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y))) #s(literal -3 binary64)) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) y)) (*.f64 (*.f64 #s(literal -3 binary64) y) x))) (neg.f64 (pow.f64 (*.f64 #s(literal -3 binary64) y) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))) (*.f64 y #s(literal 3 binary64))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 3 binary64) x)))) (*.f64 y #s(literal 3 binary64))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -3 binary64) y)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) (*.f64 #s(literal -3 binary64) y)))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 3 binary64) y) y) (*.f64 #s(literal -3 binary64) (*.f64 x #s(literal -1/3 binary64)))) (*.f64 #s(literal -3 binary64) y)) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 3 binary64) y) (*.f64 y #s(literal 3 binary64))) (*.f64 #s(literal -3 binary64) (neg.f64 x))) (*.f64 #s(literal -3 binary64) (*.f64 y #s(literal 3 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)) (*.f64 #s(literal -3 binary64) (/.f64 x y))) #s(literal 9 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 3 binary64) y) (*.f64 (/.f64 y x) #s(literal -3 binary64))) #s(literal -3 binary64)) (*.f64 #s(literal -3 binary64) (*.f64 (/.f64 y x) #s(literal -3 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 3 binary64) y) (*.f64 #s(literal -3 binary64) y)) (*.f64 #s(literal -3 binary64) x)) (*.f64 #s(literal -3 binary64) (*.f64 #s(literal -3 binary64) y))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) y) #s(literal 1/3 binary64)) (*.f64 x #s(literal -1/3 binary64)))) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) y) #s(literal 1/3 binary64)) y)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 y #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) y) #s(literal 1/3 binary64)) (neg.f64 x))) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) y) #s(literal 1/3 binary64)) (*.f64 y #s(literal 3 binary64)))) |
(/.f64 (-.f64 #s(literal -3 binary64) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) y) #s(literal 1/3 binary64)) (/.f64 x y))) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) y) #s(literal 1/3 binary64)) #s(literal -3 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) #s(literal -3 binary64))) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) y) #s(literal 1/3 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) y) #s(literal 1/3 binary64)) (*.f64 (/.f64 y x) #s(literal -3 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) y)) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) y) #s(literal 1/3 binary64)) x)) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) y) #s(literal 1/3 binary64)) (*.f64 #s(literal -3 binary64) y))) |
(/.f64 (-.f64 (neg.f64 y) (*.f64 y (*.f64 x #s(literal -1/3 binary64)))) (*.f64 y y)) |
(/.f64 (-.f64 #s(literal 3 binary64) (*.f64 y (/.f64 x y))) (*.f64 #s(literal -3 binary64) y)) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) #s(literal -3 binary64))) (*.f64 y #s(literal 1 binary64))) (*.f64 y (*.f64 (/.f64 y x) #s(literal -3 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal -3 binary64) y) (*.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 x #s(literal -1/3 binary64)))) (*.f64 (*.f64 y #s(literal 3 binary64)) y)) |
(/.f64 (-.f64 (*.f64 #s(literal -3 binary64) (*.f64 y #s(literal 3 binary64))) (*.f64 (*.f64 y #s(literal 3 binary64)) (neg.f64 x))) (pow.f64 (*.f64 #s(literal -3 binary64) y) #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 y #s(literal 3 binary64)) (/.f64 x y))) (*.f64 (*.f64 y #s(literal 3 binary64)) #s(literal -3 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal -3 binary64) (*.f64 (/.f64 y x) #s(literal -3 binary64))) (*.f64 y #s(literal 3 binary64))) (*.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 (/.f64 y x) #s(literal -3 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal -3 binary64) (*.f64 #s(literal -3 binary64) y)) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) (*.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 #s(literal -3 binary64) y))) |
(/.f64 (-.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3 binary64) y) (*.f64 x #s(literal -1/3 binary64)))) (*.f64 (*.f64 #s(literal -3 binary64) y) y)) |
(/.f64 (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -3 binary64) y) (neg.f64 x))) (*.f64 (*.f64 #s(literal -3 binary64) y) (*.f64 y #s(literal 3 binary64)))) |
(/.f64 (-.f64 #s(literal -9 binary64) (*.f64 (*.f64 #s(literal -3 binary64) y) (/.f64 x y))) (*.f64 (*.f64 #s(literal -3 binary64) y) #s(literal -3 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 (/.f64 y x) #s(literal -3 binary64))) (*.f64 #s(literal -3 binary64) y)) (*.f64 (*.f64 #s(literal -3 binary64) y) (*.f64 (/.f64 y x) #s(literal -3 binary64)))) |
(/.f64 (-.f64 #s(literal -3 binary64) (neg.f64 x)) (*.f64 y #s(literal 3 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) (/.f64 #s(literal -1/3 binary64) y)) (+.f64 x #s(literal 3 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/3 binary64) y)) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) (*.f64 #s(literal -3 binary64) y)) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 x y)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1/3 binary64) (/.f64 x y)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 x y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 x y)) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1/3 binary64) (/.f64 x y)))))) |
(/.f64 (*.f64 (-.f64 #s(literal 3 binary64) x) #s(literal -1/3 binary64)) y) |
(/.f64 (neg.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x))) (neg.f64 (*.f64 (*.f64 #s(literal -3 binary64) y) (+.f64 x #s(literal 3 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (*.f64 (*.f64 #s(literal -3 binary64) y) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 3 binary64) x))) (*.f64 #s(literal -3 binary64) y)) |
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y)) #s(literal 3 binary64)) |
(/.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -3 binary64) y))) |
(/.f64 (*.f64 (-.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) (*.f64 #s(literal -3 binary64) y))) |
(/.f64 (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) y)) (*.f64 (*.f64 #s(literal -3 binary64) y) x)) (pow.f64 (*.f64 #s(literal -3 binary64) y) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal -3 binary64) y) (*.f64 y (neg.f64 x))) (*.f64 y (*.f64 y #s(literal 3 binary64)))) |
(/.f64 (-.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 y x)) (*.f64 y (*.f64 #s(literal -3 binary64) y))) |
(/.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(literal -3 binary64) y) (+.f64 x #s(literal 3 binary64)))) |
(/.f64 (-.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -3 binary64) y) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 3 binary64)) (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) (/.f64 #s(literal -1/3 binary64) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) (*.f64 (-.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/3 binary64) y)))) |
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(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 16 binary64) (*.f64 x x) #s(literal -9 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal -4 binary64) x #s(literal -3 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 16 binary64) (*.f64 x x) (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -12 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (fma.f64 #s(literal -4 binary64) x #s(literal -3 binary64))) (*.f64 (fma.f64 #s(literal -4 binary64) x #s(literal -3 binary64)) #s(literal 9 binary64))) (*.f64 (fma.f64 #s(literal -4 binary64) x #s(literal -3 binary64)) (fma.f64 #s(literal -4 binary64) x #s(literal -3 binary64)))) |
(/.f64 (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 16 binary64) (*.f64 x x))) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal -4 binary64) x))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 16 binary64) (*.f64 x x) #s(literal -9 binary64))) (neg.f64 (fma.f64 #s(literal -4 binary64) x #s(literal -3 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))) (neg.f64 (+.f64 #s(literal 9 binary64) (-.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 x #s(literal -12 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))) (neg.f64 (fma.f64 #s(literal 16 binary64) (*.f64 x x) (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -12 binary64)))))) |
(/.f64 (fma.f64 #s(literal 16 binary64) (*.f64 x x) #s(literal -9 binary64)) (fma.f64 #s(literal -4 binary64) x #s(literal -3 binary64))) |
(/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) (+.f64 #s(literal 9 binary64) (-.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 x #s(literal -12 binary64))))) |
(/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) (fma.f64 #s(literal 16 binary64) (*.f64 x x) (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -12 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 3 binary64) (*.f64 #s(literal -4 binary64) x)) (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 16 binary64) (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 9 binary64) (-.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 x #s(literal -12 binary64)))) (fma.f64 #s(literal -64 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))))) |
(fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)) |
(fma.f64 x #s(literal -4 binary64) #s(literal 3 binary64)) |
(-.f64 (/.f64 #s(literal 9 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal -4 binary64) x))) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal -4 binary64) x)))) |
(-.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (fma.f64 #s(literal -4 binary64) x #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal -4 binary64) x #s(literal -3 binary64)))) |
(+.f64 (*.f64 #s(literal -4 binary64) x) #s(literal 3 binary64)) |
(+.f64 #s(literal 3 binary64) (*.f64 #s(literal -4 binary64) x)) |
(*.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))) |
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal -1 binary64) x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) (neg.f64 x))))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) x)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x)) (*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (-.f64 x #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 #s(literal -1 binary64) x)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (*.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 x x))) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x))) |
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (neg.f64 x))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal -1 binary64) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x)) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (neg.f64 x)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (neg.f64 x))) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) x)))) |
(fma.f64 #s(literal 1 binary64) x #s(literal -1 binary64)) |
(fma.f64 x #s(literal 1 binary64) #s(literal -1 binary64)) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) |
(-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x))) |
(+.f64 #s(literal -1 binary64) x) |
(+.f64 x #s(literal -1 binary64)) |
Compiled 20 773 to 2 812 computations (86.5% saved)
22 alts after pruning (14 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 283 | 10 | 1 293 |
| Fresh | 6 | 4 | 10 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 6 | 6 |
| Total | 1 292 | 22 | 1 314 |
| Status | Accuracy | Program |
|---|---|---|
| 48.4% | (/.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) x)) #s(literal 3 binary64)) | |
| ✓ | 95.7% | (/.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))) |
| ✓ | 45.1% | (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64))) |
| ✓ | 44.4% | (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) |
| ✓ | 53.7% | (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(approx (+ (* (- x 4) x) 3) #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) |
| 95.8% | (/.f64 #s(approx (* (* (- 1 x) (- 3 x)) 1/3) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x #s(literal 1 binary64))) y) | |
| 57.3% | (/.f64 #s(approx (* (* (- 1 x) (- 3 x)) 1/3) (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64))) y) | |
| 45.1% | (/.f64 #s(approx (* (* (- 1 x) (- 3 x)) 1/3) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x)) y) | |
| ✓ | 57.1% | (*.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)) |
| ✓ | 44.4% | (*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) y) #s(literal 1/3 binary64)) |
| 53.5% | (*.f64 (/.f64 #s(literal 1/3 binary64) y) #s(approx (* (- 1 x) (- 3 x)) #s(approx (+ (* (- x 4) x) 3) #s(literal 3 binary64)))) | |
| 56.9% | (*.f64 #s(approx (/ (- 3 x) (* y -3)) (/.f64 #s(literal -1 binary64) y)) (+.f64 #s(literal -1 binary64) x)) | |
| 48.4% | (*.f64 #s(approx (/ (* (- 1 x) (- 3 x)) y) (*.f64 (/.f64 x y) x)) #s(literal 1/3 binary64)) | |
| 99.5% | #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))) | |
| 49.1% | #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)) | |
| 7.7% | #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) #s(literal -4/3 binary64)))) | |
| 7.7% | #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))))) | |
| ✓ | 7.7% | #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))) |
| 44.4% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) x) y)) | |
| ✓ | 53.8% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
| 48.4% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) x) y) x)) | |
| 48.4% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x (*.f64 y #s(literal 3 binary64))) x)) |
Compiled 602 to 314 computations (47.8% saved)
| Inputs |
|---|
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 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 (/.f64 #s(literal 1/3 binary64) y) #s(approx (* (- 1 x) (- 3 x)) #s(approx (+ (* (- x 4) x) 3) #s(literal 3 binary64)))) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(approx (+ (* (- x 4) x) 3) #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) |
(/.f64 #s(approx (* (* (- 1 x) (- 3 x)) 1/3) (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64))) y) |
(*.f64 #s(approx (/ (- 3 x) (* y -3)) (/.f64 #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 (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x (*.f64 y #s(literal 3 binary64))) x)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) x) y) x)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) x) y)) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64))) |
(*.f64 #s(approx (/ (* (- 1 x) (- 3 x)) y) (*.f64 (/.f64 x y) x)) #s(literal 1/3 binary64)) |
(*.f64 (neg.f64 (-.f64 #s(literal 3 binary64) x)) #s(approx (/ (- 1 x) (* -3 y)) (/.f64 #s(literal -1/3 binary64) y))) |
(*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) y) #s(literal 1/3 binary64)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 #s(approx (- x 4) #s(literal -4 binary64)) 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)) y) x)) |
#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)) |
(*.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)) 1/3) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x)) y) |
(/.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 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(approx (- x 4) #s(literal -4 binary64)) x #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) |
(/.f64 #s(approx (* (* (- 1 x) (- 3 x)) 1/3) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x #s(literal 1 binary64))) y) |
(*.f64 (/.f64 (*.f64 #s(approx (- 3 x) #s(literal 3 binary64)) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64))) |
(/.f64 (*.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) #s(literal 1/3 binary64)) y) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(approx (- 3 x) #s(literal 3 binary64))) (*.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 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))) |
(*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 (-.f64 x #s(literal 4 binary64)) x #s(literal 3 binary64))) y) #s(literal 1/3 binary64)) |
(/.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 (-.f64 #s(literal 3 binary64) x) (*.f64 y #s(literal -3 binary64))) (+.f64 #s(literal -1 binary64) x)) |
(/.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 1/3 binary64) (-.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))) |
(*.f64 (neg.f64 (-.f64 #s(literal 3 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal -3 binary64) y))) |
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 y #s(literal -3 binary64))) (+.f64 #s(literal -1 binary64) x)) |
5 calls:
| 27.0ms | x |
| 15.0ms | (*.f64 y #s(literal 3 binary64)) |
| 14.0ms | y |
| 14.0ms | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 11.0ms | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | x |
| 99.7% | 1 | y |
| 99.7% | 1 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 99.7% | 1 | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| 99.7% | 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 (/ (* (/ (- 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 (/.f64 #s(literal 1/3 binary64) y) #s(approx (* (- 1 x) (- 3 x)) #s(approx (+ (* (- x 4) x) 3) #s(literal 3 binary64)))) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(approx (+ (* (- x 4) x) 3) #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) |
(/.f64 #s(approx (* (* (- 1 x) (- 3 x)) 1/3) (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64))) y) |
(*.f64 #s(approx (/ (- 3 x) (* y -3)) (/.f64 #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 (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x (*.f64 y #s(literal 3 binary64))) x)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) x) y) x)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) x) y)) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64))) |
(*.f64 #s(approx (/ (* (- 1 x) (- 3 x)) y) (*.f64 (/.f64 x y) x)) #s(literal 1/3 binary64)) |
(*.f64 (neg.f64 (-.f64 #s(literal 3 binary64) x)) #s(approx (/ (- 1 x) (* -3 y)) (/.f64 #s(literal -1/3 binary64) y))) |
(*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) y) #s(literal 1/3 binary64)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 #s(approx (- x 4) #s(literal -4 binary64)) 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)) y) x)) |
#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)) |
(*.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)) 1/3) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x)) y) |
(/.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 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(approx (- x 4) #s(literal -4 binary64)) x #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) |
(/.f64 #s(approx (* (* (- 1 x) (- 3 x)) 1/3) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x #s(literal 1 binary64))) y) |
(*.f64 (/.f64 (*.f64 #s(approx (- 3 x) #s(literal 3 binary64)) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64))) |
(/.f64 (*.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) #s(literal 1/3 binary64)) y) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(approx (- 3 x) #s(literal 3 binary64))) (*.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 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))) |
(*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 (-.f64 x #s(literal 4 binary64)) x #s(literal 3 binary64))) y) #s(literal 1/3 binary64)) |
(/.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)) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) |
5 calls:
| 39.0ms | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| 14.0ms | y |
| 12.0ms | (*.f64 y #s(literal 3 binary64)) |
| 11.0ms | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 11.0ms | 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 (/ (* (/ (- 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 (/.f64 #s(literal 1/3 binary64) y) #s(approx (* (- 1 x) (- 3 x)) #s(approx (+ (* (- x 4) x) 3) #s(literal 3 binary64)))) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(approx (+ (* (- x 4) x) 3) #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) |
(/.f64 #s(approx (* (* (- 1 x) (- 3 x)) 1/3) (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64))) y) |
(*.f64 #s(approx (/ (- 3 x) (* y -3)) (/.f64 #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 (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x (*.f64 y #s(literal 3 binary64))) x)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) x) y) x)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) x) y)) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64))) |
(*.f64 #s(approx (/ (* (- 1 x) (- 3 x)) y) (*.f64 (/.f64 x y) x)) #s(literal 1/3 binary64)) |
(*.f64 (neg.f64 (-.f64 #s(literal 3 binary64) x)) #s(approx (/ (- 1 x) (* -3 y)) (/.f64 #s(literal -1/3 binary64) y))) |
(*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) y) #s(literal 1/3 binary64)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 #s(approx (- x 4) #s(literal -4 binary64)) 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)) y) x)) |
#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)) |
(*.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)) 1/3) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x)) y) |
(/.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 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(approx (- x 4) #s(literal -4 binary64)) x #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) |
(/.f64 #s(approx (* (* (- 1 x) (- 3 x)) 1/3) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x #s(literal 1 binary64))) y) |
(*.f64 (/.f64 (*.f64 #s(approx (- 3 x) #s(literal 3 binary64)) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64))) |
(/.f64 (*.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) #s(literal 1/3 binary64)) y) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(approx (- 3 x) #s(literal 3 binary64))) (*.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 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))) |
(*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 (-.f64 x #s(literal 4 binary64)) x #s(literal 3 binary64))) y) #s(literal 1/3 binary64)) |
(/.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))) |
| 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 | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| 14.0ms | y |
| 11.0ms | (*.f64 y #s(literal 3 binary64)) |
| 11.0ms | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 11.0ms | 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 (/ (* (/ (- 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 (/.f64 #s(literal 1/3 binary64) y) #s(approx (* (- 1 x) (- 3 x)) #s(approx (+ (* (- x 4) x) 3) #s(literal 3 binary64)))) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(approx (+ (* (- x 4) x) 3) #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) |
(/.f64 #s(approx (* (* (- 1 x) (- 3 x)) 1/3) (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64))) y) |
(*.f64 #s(approx (/ (- 3 x) (* y -3)) (/.f64 #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 (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x (*.f64 y #s(literal 3 binary64))) x)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) x) y) x)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) x) y)) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64))) |
(*.f64 #s(approx (/ (* (- 1 x) (- 3 x)) y) (*.f64 (/.f64 x y) x)) #s(literal 1/3 binary64)) |
(*.f64 (neg.f64 (-.f64 #s(literal 3 binary64) x)) #s(approx (/ (- 1 x) (* -3 y)) (/.f64 #s(literal -1/3 binary64) y))) |
(*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) y) #s(literal 1/3 binary64)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 #s(approx (- x 4) #s(literal -4 binary64)) 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)) y) x)) |
#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)) |
(*.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)) 1/3) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x)) y) |
(/.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 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(approx (- x 4) #s(literal -4 binary64)) x #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) |
(/.f64 #s(approx (* (* (- 1 x) (- 3 x)) 1/3) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x #s(literal 1 binary64))) y) |
(*.f64 (/.f64 (*.f64 #s(approx (- 3 x) #s(literal 3 binary64)) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64))) |
(/.f64 (*.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) #s(literal 1/3 binary64)) y) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(approx (- 3 x) #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) |
| Outputs |
|---|
(/.f64 #s(approx (* (* (- 1 x) (- 3 x)) 1/3) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x #s(literal 1 binary64))) y) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x (*.f64 y #s(literal 3 binary64))) x)) |
5 calls:
| 32.0ms | x |
| 11.0ms | (*.f64 y #s(literal 3 binary64)) |
| 10.0ms | y |
| 10.0ms | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 9.0ms | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 3 | x |
| 95.8% | 1 | y |
| 99.8% | 2 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 99.8% | 2 | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| 95.8% | 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 (/ (* (/ (- 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 (/.f64 #s(literal 1/3 binary64) y) #s(approx (* (- 1 x) (- 3 x)) #s(approx (+ (* (- x 4) x) 3) #s(literal 3 binary64)))) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(approx (+ (* (- x 4) x) 3) #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) |
(/.f64 #s(approx (* (* (- 1 x) (- 3 x)) 1/3) (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64))) y) |
(*.f64 #s(approx (/ (- 3 x) (* y -3)) (/.f64 #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 (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x (*.f64 y #s(literal 3 binary64))) x)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) x) y) x)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) x) y)) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64))) |
(*.f64 #s(approx (/ (* (- 1 x) (- 3 x)) y) (*.f64 (/.f64 x y) x)) #s(literal 1/3 binary64)) |
(*.f64 (neg.f64 (-.f64 #s(literal 3 binary64) x)) #s(approx (/ (- 1 x) (* -3 y)) (/.f64 #s(literal -1/3 binary64) y))) |
(*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) y) #s(literal 1/3 binary64)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 #s(approx (- x 4) #s(literal -4 binary64)) 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)) y) x)) |
#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)) |
(*.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)) 1/3) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x)) y) |
(/.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 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(approx (- x 4) #s(literal -4 binary64)) x #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) |
| Outputs |
|---|
(/.f64 #s(approx (* (* (- 1 x) (- 3 x)) 1/3) (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64))) y) |
#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))) |
2 calls:
| 44.0ms | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 8.0ms | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.8% | 2 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 98.7% | 2 | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
Compiled 18 to 16 computations (11.1% saved)
| Inputs |
|---|
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 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 (/.f64 #s(literal 1/3 binary64) y) #s(approx (* (- 1 x) (- 3 x)) #s(approx (+ (* (- x 4) x) 3) #s(literal 3 binary64)))) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(approx (+ (* (- x 4) x) 3) #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) |
(/.f64 #s(approx (* (* (- 1 x) (- 3 x)) 1/3) (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64))) y) |
(*.f64 #s(approx (/ (- 3 x) (* y -3)) (/.f64 #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 (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x (*.f64 y #s(literal 3 binary64))) x)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) x) y) x)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) x) y)) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64))) |
(*.f64 #s(approx (/ (* (- 1 x) (- 3 x)) y) (*.f64 (/.f64 x y) x)) #s(literal 1/3 binary64)) |
(*.f64 (neg.f64 (-.f64 #s(literal 3 binary64) x)) #s(approx (/ (- 1 x) (* -3 y)) (/.f64 #s(literal -1/3 binary64) y))) |
(*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) y) #s(literal 1/3 binary64)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 #s(approx (- x 4) #s(literal -4 binary64)) 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 |
|---|
(/.f64 #s(approx (* (* (- 1 x) (- 3 x)) 1/3) (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 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)))) |
1 calls:
| 6.0ms | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 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 (/ (* (/ (- 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 (/.f64 #s(literal 1/3 binary64) y) #s(approx (* (- 1 x) (- 3 x)) #s(approx (+ (* (- x 4) x) 3) #s(literal 3 binary64)))) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(approx (+ (* (- x 4) x) 3) #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) |
(/.f64 #s(approx (* (* (- 1 x) (- 3 x)) 1/3) (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64))) y) |
(*.f64 #s(approx (/ (- 3 x) (* y -3)) (/.f64 #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 (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x (*.f64 y #s(literal 3 binary64))) x)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) x) y) x)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) x) y)) |
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64))) |
(*.f64 #s(approx (/ (* (- 1 x) (- 3 x)) y) (*.f64 (/.f64 x y) x)) #s(literal 1/3 binary64)) |
(*.f64 (neg.f64 (-.f64 #s(literal 3 binary64) x)) #s(approx (/ (- 1 x) (* -3 y)) (/.f64 #s(literal -1/3 binary64) y))) |
(*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) y) #s(literal 1/3 binary64)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 #s(approx (- x 4) #s(literal -4 binary64)) 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 |
|---|
(/.f64 #s(approx (* (* (- 1 x) (- 3 x)) 1/3) (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64))) y) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)) |
2 calls:
| 8.0ms | x |
| 5.0ms | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.0% | 3 | x |
| 98.0% | 2 | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
Compiled 8 to 9 computations (-12.5% saved)
| Inputs |
|---|
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 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 (/.f64 #s(literal 1/3 binary64) y) #s(approx (* (- 1 x) (- 3 x)) #s(approx (+ (* (- x 4) x) 3) #s(literal 3 binary64)))) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(approx (+ (* (- x 4) x) 3) #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) |
(/.f64 #s(approx (* (* (- 1 x) (- 3 x)) 1/3) (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64))) y) |
(*.f64 #s(approx (/ (- 3 x) (* y -3)) (/.f64 #s(literal -1 binary64) y)) (+.f64 #s(literal -1 binary64) x)) |
| Outputs |
|---|
(/.f64 #s(approx (* (* (- 1 x) (- 3 x)) 1/3) (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64))) y) |
5 calls:
| 5.0ms | x |
| 3.0ms | (*.f64 y #s(literal 3 binary64)) |
| 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 |
|---|---|---|
| 57.3% | 1 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 57.3% | 1 | x |
| 57.3% | 1 | y |
| 57.3% | 1 | (*.f64 y #s(literal 3 binary64)) |
| 57.3% | 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 (/ (* (/ (- 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 (/.f64 #s(literal 1/3 binary64) y) #s(approx (* (- 1 x) (- 3 x)) #s(approx (+ (* (- x 4) x) 3) #s(literal 3 binary64)))) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(approx (+ (* (- x 4) x) 3) #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:
| 6.0ms | y |
| 3.0ms | (*.f64 y #s(literal 3 binary64)) |
| 3.0ms | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 3.0ms | x |
| 2.0ms | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.8% | 1 | y |
| 53.8% | 1 | (*.f64 y #s(literal 3 binary64)) |
| 57.8% | 2 | x |
| 57.0% | 2 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 57.0% | 2 | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
Compiled 23 to 24 computations (-4.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
| Outputs |
|---|
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
3 calls:
| 1.0ms | (/.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 |
|---|---|---|
| 53.8% | 1 | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| 53.8% | 1 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 53.8% | 1 | x |
Compiled 19 to 18 computations (5.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.67737366221311e+127 | 6.500450215172848e+130 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.0 | 27.87897819087217 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.0 | 27.87897819087217 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.0 | 27.87897819087217 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | -9322.905855988152 | -1.1081519647988253e-20 |
| 8.0ms | 176× | 0 | valid |
Compiled 135 to 168 computations (-24.4% saved)
ival-mult: 2.0ms (41.7% of total)ival-sub: 1.0ms (20.8% of total)ival-div: 1.0ms (20.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 28× | *-commutative-binary64-*.f64 |
| 8× | +-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 | 74 | 306 |
| 1 | 94 | 306 |
| 2 | 98 | 306 |
| 3 | 100 | 306 |
| 4 | 101 | 306 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 y #s(literal -3 binary64))) (+.f64 #s(literal -1 binary64) x)) |
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/3 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))) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 100000000000000007517448691651820862747142906435240821348290910235776592524241520466454110109775803542826595503885252632667750400 binary64)) (/.f64 #s(approx (* (* (- 1 x) (- 3 x)) 1/3) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x #s(literal 1 binary64))) y) #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)) (/.f64 #s(approx (* (* (- 1 x) (- 3 x)) 1/3) (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64))) y) #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 #s(approx (* (* (- 1 x) (- 3 x)) 1/3) (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 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))))) |
(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)) 1/3) (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64))) y) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x))) |
(/.f64 #s(approx (* (* (- 1 x) (- 3 x)) 1/3) (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64))) y) |
(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 |
|---|
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 y #s(literal -3 binary64))) (+.f64 #s(literal -1 binary64) x)) |
(*.f64 (+.f64 #s(literal -1 binary64) x) (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 #s(literal -3 binary64) y))) |
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 3 binary64) x) 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))) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 100000000000000007517448691651820862747142906435240821348290910235776592524241520466454110109775803542826595503885252632667750400 binary64)) (/.f64 #s(approx (* (* (- 1 x) (- 3 x)) 1/3) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x #s(literal 1 binary64))) y) #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)) (/.f64 #s(approx (* (* (- 1 x) (- 3 x)) 1/3) (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64))) y) #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 #s(approx (* (* (- 1 x) (- 3 x)) 1/3) (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64))) y) #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 #s(approx (* (* (- 1 x) (- 3 x)) 1/3) (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 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))))) |
(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)) 1/3) (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64))) y) #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)) (/.f64 #s(approx (* (* (- 1 x) (- 3 x)) 1/3) (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64))) y) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x))) |
(/.f64 #s(approx (* (* (- 1 x) (- 3 x)) 1/3) (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64))) y) |
(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)) |
| 11 100× | lower-fma.f64 |
| 11 100× | lower-fma.f32 |
| 9 258× | lower-fma.f64 |
| 9 258× | lower-fma.f32 |
| 8 634× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 112 | 2232 |
| 1 | 319 | 2232 |
| 2 | 818 | 2208 |
| 3 | 2387 | 2108 |
| 4 | 6828 | 2108 |
| 0 | 8209 | 1938 |
| 0 | 139 | 2898 |
| 1 | 386 | 2838 |
| 2 | 991 | 2826 |
| 3 | 2838 | 2778 |
| 4 | 7838 | 2778 |
| 0 | 8420 | 2556 |
| 0 | 38 | 186 |
| 0 | 56 | 186 |
| 1 | 214 | 184 |
| 2 | 1565 | 184 |
| 0 | 8405 | 181 |
| 0 | 9 | 27 |
| 0 | 14 | 27 |
| 1 | 59 | 27 |
| 2 | 433 | 27 |
| 3 | 7340 | 27 |
| 0 | 8063 | 27 |
| 0 | 42 | 199 |
| 0 | 59 | 199 |
| 1 | 227 | 199 |
| 2 | 1656 | 199 |
| 0 | 8363 | 197 |
| 0 | 28 | 157 |
| 0 | 41 | 157 |
| 1 | 164 | 157 |
| 2 | 1049 | 157 |
| 0 | 8565 | 157 |
| 0 | 128 | 2610 |
| 1 | 368 | 2550 |
| 2 | 966 | 2538 |
| 3 | 2808 | 2478 |
| 0 | 8042 | 2257 |
| 0 | 78 | 446 |
| 1 | 216 | 446 |
| 2 | 543 | 446 |
| 3 | 1551 | 418 |
| 4 | 4034 | 418 |
| 5 | 7654 | 418 |
| 0 | 8499 | 384 |
| 1× | fuel |
| 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× | 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 |
Compiled 460 to 287 computations (37.6% saved)
(negabs y)
Compiled 540 to 278 computations (48.5% saved)
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