
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)
| 622.0ms | 8 256× | 0 | valid |
ival-mult: 155.0ms (42.6% of total)ival-sub: 123.0ms (33.8% of total)ival-div: 67.0ms (18.4% of total)exact: 9.0ms (2.5% of total)ival-true: 7.0ms (1.9% of total)ival-assert: 3.0ms (0.8% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 12 | 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 | 12 | 0 |
| ↳ | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) | overflow | 63 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 12 | 0 |
| - | 0 | 244 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 12 | 0 | 0 |
| - | 0 | 0 | 244 |
| number | freq |
|---|---|
| 0 | 244 |
| 1 | 12 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 37.0ms | 512× | 0 | valid |
Compiled 77 to 31 computations (59.7% saved)
ival-div: 9.0ms (40.5% of total)ival-mult: 6.0ms (27% of total)ival-sub: 5.0ms (22.5% of total)exact: 1.0ms (4.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
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 |
|---|---|---|
| ▶ | 95.3% | (/.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)) |
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 | 2.998907550236166 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 17.0ms | 256× | 0 | valid |
Compiled 33 to 11 computations (66.7% saved)
ival-sub: 4.0ms (41.9% of total)ival-mult: 3.0ms (31.4% of total)ival-div: 2.0ms (21% 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 |
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) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 27 |
| 0 | 14 | 27 |
| 1 | 59 | 27 |
| 2 | 433 | 27 |
| 3 | 7340 | 27 |
| 0 | 8063 | 27 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
(-.f64 #s(literal 1 binary64) x) |
(-.f64 #s(literal 3 binary64) x) |
(*.f64 y #s(literal 3 binary64)) |
| Outputs |
|---|
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
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#<batchref> |
#<batchref> |
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#<batchref> |
#<batchref> |
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#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
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#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
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#<batchref> |
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#<batchref> |
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Compiled 16 679 to 2 125 computations (87.3% saved)
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 802 | 13 | 815 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 803 | 13 | 816 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.7% | (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) |
| 95.5% | (/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 3 binary64) x)) (-.f64 #s(literal 1 binary64) x)) y) | |
| 95.3% | (/.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))) | |
| 61.2% | (/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) | |
| ▶ | 46.0% | (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64))) |
| ▶ | 45.7% | (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) |
| 53.1% | (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) | |
| ▶ | 99.2% | (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) |
| 99.7% | (*.f64 (neg.f64 (-.f64 #s(literal 3 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal -3 binary64) y))) | |
| ▶ | 53.3% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
| 99.6% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))) | |
| 50.4% | #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)))) | |
| 50.1% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)) |
Compiled 242 to 218 computations (9.9% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 #s(literal 3 binary64) x) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 3 binary64) x) y) | |
| cost-diff | 0 | (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 128 | (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/3 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 y (-.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) | |
| cost-diff | 0 | (-.f64 #s(literal 3 binary64) x) | |
| cost-diff | 512 | (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 169 |
| 0 | 43 | 169 |
| 1 | 81 | 169 |
| 2 | 165 | 169 |
| 3 | 431 | 169 |
| 4 | 1563 | 169 |
| 5 | 5383 | 169 |
| 0 | 8270 | 166 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) |
(-.f64 #s(literal 3 binary64) x) |
#s(literal 3 binary64) |
x |
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) |
(/.f64 y (-.f64 #s(literal 1 binary64) x)) |
y |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) |
(*.f64 x x) |
x |
(*.f64 y #s(literal 3 binary64)) |
y |
#s(literal 3 binary64) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) |
(*.f64 (-.f64 x #s(literal 4 binary64)) x) |
(-.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
(*.f64 y #s(literal 3 binary64)) |
y |
#s(literal 3 binary64) |
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 #s(literal 3 binary64) x) y) |
(-.f64 #s(literal 3 binary64) x) |
#s(literal 3 binary64) |
x |
y |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
#s(literal 1/3 binary64) |
| Outputs |
|---|
(/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 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 #s(literal 3 binary64) x) |
#s(literal 3 binary64) |
x |
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) |
(/.f64 y (-.f64 #s(literal 1 binary64) x)) |
y |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) |
(*.f64 x x) |
x |
(*.f64 y #s(literal 3 binary64)) |
y |
#s(literal 3 binary64) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) |
(*.f64 (-.f64 x #s(literal 4 binary64)) x) |
(-.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
(*.f64 y #s(literal 3 binary64)) |
y |
#s(literal 3 binary64) |
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/3 binary64)) y) (-.f64 x #s(literal 3 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 x #s(literal 3 binary64))) |
(/.f64 (-.f64 #s(literal 3 binary64) x) y) |
(-.f64 #s(literal 3 binary64) x) |
#s(literal 3 binary64) |
x |
y |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
#s(literal 1/3 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.00390625 | (/.f64 (-.f64 #s(literal 3 binary64) x) y) | |
| accuracy | 0.0625 | (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.49414997615378947 | (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) | |
| accuracy | 0 | (*.f64 y #s(literal 3 binary64)) | |
| accuracy | 0.00390625 | (*.f64 (-.f64 x #s(literal 4 binary64)) x) | |
| accuracy | 2.998907550236166 | (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64))) | |
| accuracy | 31.87020382599162 | #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 | 2.998907550236166 | (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) | |
| accuracy | 32.08144716541758 | #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) y) | |
| accuracy | 29.90862555807133 | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.01171875 | (/.f64 y (-.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.17578125 | (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) | |
| accuracy | 0.1953125 | (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) |
| 46.0ms | 239× | 0 | valid |
| 6.0ms | 8× | 2 | valid |
| 3.0ms | 9× | 1 | valid |
Compiled 147 to 23 computations (84.4% saved)
ival-mult: 17.0ms (49% of total)ival-div: 8.0ms (23.1% of total)ival-sub: 4.0ms (11.5% of total)const: 4.0ms (11.5% of total)adjust: 1.0ms (2.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (patch (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 3 binary64) x) (patch (-.f64 #s(literal 3 binary64) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (patch (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 y (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 y (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (patch #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (patch #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 x #s(literal 4 binary64)) x) (patch (*.f64 (-.f64 x #s(literal 4 binary64)) x) #<representation binary64>) () ()) |
#s(alt (-.f64 x #s(literal 4 binary64)) (patch (-.f64 x #s(literal 4 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) (patch (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.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 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (patch (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (patch (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (patch (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (patch (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (/ y (- 1 x))) (taylor 0 y) (#s(alt (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (patch (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (/ y (- 1 x))) (taylor 0 y) (#s(alt (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (patch (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (/ y (- 1 x))) (taylor 0 y) (#s(alt (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (patch (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (/ y (- 1 x))) (taylor 0 y) (#s(alt (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (patch (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ y (- 1 x)) (taylor 0 y) (#s(alt (/.f64 y (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 y (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ y (- 1 x)) (taylor 0 y) (#s(alt (/.f64 y (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 y (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ y (- 1 x)) (taylor 0 y) (#s(alt (/.f64 y (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 y (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ y (- 1 x)) (taylor 0 y) (#s(alt (/.f64 y (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 y (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) (patch (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) (patch (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) (patch (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) (patch (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (- 1 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 inf y) (#s(alt (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (patch (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor inf y) (#s(alt (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (patch (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor inf y) (#s(alt (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (patch (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor inf y) (#s(alt (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (patch (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) (taylor -inf x) (#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 (* (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)) (*.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 (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 #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 (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) (taylor -inf x) (#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 (* (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)) (*.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 (* (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)) (*.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 (pow x 2) (taylor -inf x) (#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 (* (pow x 2) (- 1 (* 4 (/ 1 x)))) (taylor -inf x) (#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 (* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) (taylor -inf x) (#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 (* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) (taylor -inf x) (#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 (pow x 2) (taylor -inf x) (#s(alt (*.f64 (-.f64 x #s(literal 4 binary64)) x) (patch (*.f64 (-.f64 x #s(literal 4 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (* 4 (/ 1 x)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x #s(literal 4 binary64)) x) (patch (*.f64 (-.f64 x #s(literal 4 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (* 4 (/ 1 x)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x #s(literal 4 binary64)) x) (patch (*.f64 (-.f64 x #s(literal 4 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (* 4 (/ 1 x)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x #s(literal 4 binary64)) x) (patch (*.f64 (-.f64 x #s(literal 4 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (-.f64 x #s(literal 4 binary64)) (patch (-.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 4 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 4 binary64)) (patch (-.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 4 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 4 binary64)) (patch (-.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 4 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 4 binary64)) (patch (-.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (pow x 2) y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) (patch (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) (patch (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) (patch (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) (patch (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) y) (taylor -inf x) (#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 (* (pow x 2) (- (/ 1 y) (* 4 (/ 1 (* x y))))) (taylor -inf x) (#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 (* (pow x 2) (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 3 (/ 1 (* x y)))) x)) (/ 1 y))) (taylor -inf x) (#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 (* (pow x 2) (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 3 (/ 1 (* x y)))) x)) (/ 1 y))) (taylor -inf x) (#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 y)) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 3 binary64) x) y) (patch (/.f64 (-.f64 #s(literal 3 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 y) (* 3 (/ 1 (* x y)))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 3 binary64) x) y) (patch (/.f64 (-.f64 #s(literal 3 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 y) (* 3 (/ 1 (* x y)))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 3 binary64) x) y) (patch (/.f64 (-.f64 #s(literal 3 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 y) (* 3 (/ 1 (* x y)))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 3 binary64) x) y) (patch (/.f64 (-.f64 #s(literal 3 binary64) x) y) #<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 | |
|---|---|---|---|---|
| 24.0ms | x | @ | -inf | ((/ (- 3 x) (* (/ y (- 1 x)) 3)) (- 3 x) (* (/ y (- 1 x)) 3) (/ y (- 1 x)) (/ (* (- 1 x) (- 3 x)) (* y 3)) (/ 1 y) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (- 1 x) (- 3 x)) (* x x) (* y 3) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (- 1 x) (- 3 x)) (* (- x 4) x) (- x 4) (* (* (/ (- 3 x) y) (- 1 x)) 1/3) (* (/ (- 3 x) y) (- 1 x)) (/ (- 3 x) y) (- 1 x)) |
| 4.0ms | y | @ | -inf | ((/ (- 3 x) (* (/ y (- 1 x)) 3)) (- 3 x) (* (/ y (- 1 x)) 3) (/ y (- 1 x)) (/ (* (- 1 x) (- 3 x)) (* y 3)) (/ 1 y) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (- 1 x) (- 3 x)) (* x x) (* y 3) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (- 1 x) (- 3 x)) (* (- x 4) x) (- x 4) (* (* (/ (- 3 x) y) (- 1 x)) 1/3) (* (/ (- 3 x) y) (- 1 x)) (/ (- 3 x) y) (- 1 x)) |
| 2.0ms | y | @ | inf | ((/ (- 3 x) (* (/ y (- 1 x)) 3)) (- 3 x) (* (/ y (- 1 x)) 3) (/ y (- 1 x)) (/ (* (- 1 x) (- 3 x)) (* y 3)) (/ 1 y) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (- 1 x) (- 3 x)) (* x x) (* y 3) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (- 1 x) (- 3 x)) (* (- x 4) x) (- x 4) (* (* (/ (- 3 x) y) (- 1 x)) 1/3) (* (/ (- 3 x) y) (- 1 x)) (/ (- 3 x) y) (- 1 x)) |
| 2.0ms | y | @ | 0 | ((/ (- 3 x) (* (/ y (- 1 x)) 3)) (- 3 x) (* (/ y (- 1 x)) 3) (/ y (- 1 x)) (/ (* (- 1 x) (- 3 x)) (* y 3)) (/ 1 y) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (- 1 x) (- 3 x)) (* x x) (* y 3) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (- 1 x) (- 3 x)) (* (- x 4) x) (- x 4) (* (* (/ (- 3 x) y) (- 1 x)) 1/3) (* (/ (- 3 x) y) (- 1 x)) (/ (- 3 x) y) (- 1 x)) |
| 2.0ms | x | @ | inf | ((/ (- 3 x) (* (/ y (- 1 x)) 3)) (- 3 x) (* (/ y (- 1 x)) 3) (/ y (- 1 x)) (/ (* (- 1 x) (- 3 x)) (* y 3)) (/ 1 y) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (- 1 x) (- 3 x)) (* x x) (* y 3) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (- 1 x) (- 3 x)) (* (- x 4) x) (- x 4) (* (* (/ (- 3 x) y) (- 1 x)) 1/3) (* (/ (- 3 x) y) (- 1 x)) (/ (- 3 x) y) (- 1 x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 190 | 2739 |
| 1 | 554 | 2720 |
| 2 | 1465 | 2618 |
| 3 | 4740 | 2614 |
| 0 | 8332 | 2557 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 3 (/ y (- 1 x))) |
(* 3 (/ y (- 1 x))) |
(* 3 (/ y (- 1 x))) |
(* 3 (/ y (- 1 x))) |
(/ y (- 1 x)) |
(/ y (- 1 x)) |
(/ y (- 1 x)) |
(/ y (- 1 x)) |
(* 1/3 (/ (* (- 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 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)) |
(* 3 (/ y (- 1 x))) |
(* 3 (/ y (- 1 x))) |
(* 3 (/ y (- 1 x))) |
(* 3 (/ y (- 1 x))) |
(/ y (- 1 x)) |
(/ y (- 1 x)) |
(/ y (- 1 x)) |
(/ y (- 1 x)) |
(* 1/3 (/ (* (- 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 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)) |
(* 3 (/ y (- 1 x))) |
(* 3 (/ y (- 1 x))) |
(* 3 (/ y (- 1 x))) |
(* 3 (/ y (- 1 x))) |
(/ y (- 1 x)) |
(/ y (- 1 x)) |
(/ y (- 1 x)) |
(/ y (- 1 x)) |
(* 1/3 (/ (* (- 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 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 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)) |
(* 3 y) |
(+ (* 3 y) (* 3 (* x y))) |
(+ (* 3 y) (* x (+ (* 3 y) (* 3 (* x y))))) |
(+ (* 3 y) (* x (+ (* 3 y) (* x (+ (* 3 y) (* 3 (* x y))))))) |
y |
(+ y (* x y)) |
(+ y (* x (- (* x y) (* -1 y)))) |
(+ y (* x (- (* x (- (* x y) (* -1 y))) (* -1 y)))) |
(/ 1 y) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(/ 1 y) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
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 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))) |
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)))) |
(* -1 x) |
(* x (- (* 3 (/ 1 x)) 1)) |
(* x (- (* 3 (/ 1 x)) 1)) |
(* x (- (* 3 (/ 1 x)) 1)) |
(* -3 (/ y x)) |
(/ (+ (* -3 y) (* -3 (/ y x))) x) |
(/ (+ (* -3 y) (+ (* -3 (/ y x)) (* -3 (/ y (pow x 2))))) x) |
(/ (+ (* -3 y) (+ (* -3 (/ y x)) (+ (* -3 (/ y (pow x 2))) (* -3 (/ y (pow x 3)))))) x) |
(* -1 (/ y x)) |
(/ (+ (* -1 y) (* -1 (/ y x))) x) |
(/ (- (+ (* -1 y) (* -1 (/ y (pow x 2)))) (/ y x)) x) |
(/ (- (+ (* -1 y) (* -1 (/ y (pow x 3)))) (+ (/ y x) (/ y (pow x 2)))) x) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(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) 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 (- (/ 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)))) |
(* -1 x) |
(* -1 (* x (- 1 (* 3 (/ 1 x))))) |
(* -1 (* x (- 1 (* 3 (/ 1 x))))) |
(* -1 (* x (- 1 (* 3 (/ 1 x))))) |
(* -3 (/ y x)) |
(* -1 (/ (+ (* 3 y) (* 3 (/ y x))) x)) |
(* -1 (/ (+ (* -1 (/ (+ (* -3 y) (* -3 (/ y x))) x)) (* 3 y)) x)) |
(* -1 (/ (+ (* -1 (/ (+ (* -3 y) (* -1 (/ (+ (* 3 y) (* 3 (/ y x))) x))) x)) (* 3 y)) x)) |
(* -1 (/ y x)) |
(* -1 (/ (+ y (/ y x)) x)) |
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ y x)) y) x))) x)) |
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (/ y x) (* -1 y)) x)) y) x))) x)) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(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) 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 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
| Outputs |
|---|
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 3 (/ y (- 1 x))) |
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) |
(* 3 (/ y (- 1 x))) |
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) |
(* 3 (/ y (- 1 x))) |
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) |
(* 3 (/ y (- 1 x))) |
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) |
(/ y (- 1 x)) |
(/.f64 y (-.f64 #s(literal 1 binary64) x)) |
(/ y (- 1 x)) |
(/.f64 y (-.f64 #s(literal 1 binary64) x)) |
(/ y (- 1 x)) |
(/.f64 y (-.f64 #s(literal 1 binary64) x)) |
(/ y (- 1 x)) |
(/.f64 y (-.f64 #s(literal 1 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 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 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(/ (* (- 1 x) (- 3 x)) y) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 3 binary64) x)) |
(/ (* (- 1 x) (- 3 x)) y) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 3 binary64) x)) |
(/ (* (- 1 x) (- 3 x)) y) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 3 binary64) x)) |
(/ (* (- 1 x) (- 3 x)) y) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 3 binary64) x)) |
(/ (- 3 x) y) |
(/.f64 (-.f64 #s(literal 3 binary64) x) y) |
(/ (- 3 x) y) |
(/.f64 (-.f64 #s(literal 3 binary64) x) y) |
(/ (- 3 x) y) |
(/.f64 (-.f64 #s(literal 3 binary64) x) y) |
(/ (- 3 x) y) |
(/.f64 (-.f64 #s(literal 3 binary64) x) y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 3 (/ y (- 1 x))) |
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) |
(* 3 (/ y (- 1 x))) |
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) |
(* 3 (/ y (- 1 x))) |
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) |
(* 3 (/ y (- 1 x))) |
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) |
(/ y (- 1 x)) |
(/.f64 y (-.f64 #s(literal 1 binary64) x)) |
(/ y (- 1 x)) |
(/.f64 y (-.f64 #s(literal 1 binary64) x)) |
(/ y (- 1 x)) |
(/.f64 y (-.f64 #s(literal 1 binary64) x)) |
(/ y (- 1 x)) |
(/.f64 y (-.f64 #s(literal 1 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 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 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(/ (* (- 1 x) (- 3 x)) y) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 3 binary64) x)) |
(/ (* (- 1 x) (- 3 x)) y) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 3 binary64) x)) |
(/ (* (- 1 x) (- 3 x)) y) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 3 binary64) x)) |
(/ (* (- 1 x) (- 3 x)) y) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 3 binary64) x)) |
(/ (- 3 x) y) |
(/.f64 (-.f64 #s(literal 3 binary64) x) y) |
(/ (- 3 x) y) |
(/.f64 (-.f64 #s(literal 3 binary64) x) y) |
(/ (- 3 x) y) |
(/.f64 (-.f64 #s(literal 3 binary64) x) y) |
(/ (- 3 x) y) |
(/.f64 (-.f64 #s(literal 3 binary64) x) y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 3 (/ y (- 1 x))) |
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) |
(* 3 (/ y (- 1 x))) |
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) |
(* 3 (/ y (- 1 x))) |
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) |
(* 3 (/ y (- 1 x))) |
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) |
(/ y (- 1 x)) |
(/.f64 y (-.f64 #s(literal 1 binary64) x)) |
(/ y (- 1 x)) |
(/.f64 y (-.f64 #s(literal 1 binary64) x)) |
(/ y (- 1 x)) |
(/.f64 y (-.f64 #s(literal 1 binary64) x)) |
(/ y (- 1 x)) |
(/.f64 y (-.f64 #s(literal 1 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 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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(-.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 x) y) #s(literal 1/3 binary64)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 4/3 binary64) x))) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) (/.f64 #s(literal -4/3 binary64) y)) x)) x) x) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) (/.f64 #s(literal -4/3 binary64) y)) x)) x) 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) |
(* -3 (/ y x)) |
(*.f64 (/.f64 y x) #s(literal -3 binary64)) |
(* -1 (/ (+ (* 3 y) (* 3 (/ y x))) x)) |
(*.f64 (/.f64 #s(literal -3 binary64) x) (+.f64 (/.f64 y x) y)) |
(* -1 (/ (+ (* -1 (/ (+ (* -3 y) (* -3 (/ y x))) x)) (* 3 y)) x)) |
(/.f64 (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 y x) y) x) y) #s(literal -3 binary64)) x) |
(* -1 (/ (+ (* -1 (/ (+ (* -3 y) (* -1 (/ (+ (* 3 y) (* 3 (/ y x))) x))) x)) (* 3 y)) x)) |
(*.f64 #s(literal -3 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 y x) y) x) y) x) y) x)) |
(* -1 (/ y x)) |
(/.f64 (neg.f64 y) x) |
(* -1 (/ (+ y (/ y x)) x)) |
(/.f64 (-.f64 (/.f64 (neg.f64 y) x) y) x) |
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ y x)) y) x))) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (neg.f64 y) x) y) x) y) x) |
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (/ y x) (* -1 y)) x)) y) x))) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (neg.f64 y) x) y) x) y) x) y) x) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/3 binary64)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 4/3 binary64) x))) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) (/.f64 #s(literal -4/3 binary64) y)) x)) x) x) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) (/.f64 #s(literal -4/3 binary64) y)) x)) x) x) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/3 binary64)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 4/3 binary64) x))) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) (/.f64 #s(literal -4/3 binary64) y)) x)) x) x) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) (/.f64 #s(literal -4/3 binary64) y)) x)) x) x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(*.f64 (-.f64 x #s(literal 4 binary64)) x) |
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) |
(*.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 3 binary64) x) x) #s(literal 1 binary64)) x #s(literal -4 binary64)) x) |
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) |
(*.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 3 binary64) x) x) #s(literal 1 binary64)) x #s(literal -4 binary64)) x) |
(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 x) y) #s(literal 1/3 binary64)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 4/3 binary64) x))) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) (/.f64 #s(literal -4/3 binary64) y)) x)) x) x) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) (/.f64 #s(literal -4/3 binary64) y)) x)) x) x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(*.f64 (-.f64 x #s(literal 4 binary64)) x) |
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) |
(*.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 3 binary64) x) x) #s(literal 1 binary64)) x #s(literal -4 binary64)) x) |
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) |
(*.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 3 binary64) x) x) #s(literal 1 binary64)) x #s(literal -4 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 (* 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 x) y) #s(literal 1/3 binary64)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 4/3 binary64) x))) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) (/.f64 #s(literal -4/3 binary64) y)) x)) x) x) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) (/.f64 #s(literal -4/3 binary64) y)) x)) x) x) |
(/ (pow x 2) y) |
(/.f64 (*.f64 x x) y) |
(* (pow x 2) (- (/ 1 y) (* 4 (/ 1 (* x y))))) |
(*.f64 (/.f64 x y) (-.f64 x #s(literal 4 binary64))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 3 (/ 1 (* x y)))) x)) (/ 1 y))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 3 binary64) x)) (/.f64 #s(literal 1 binary64) y)) x) x) |
(* (pow x 2) (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 3 (/ 1 (* x y)))) x)) (/ 1 y))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 3 binary64) x)) (/.f64 #s(literal 1 binary64) y)) x) x) |
(* -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 (/ 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) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 142 |
| 0 | 43 | 142 |
| 1 | 159 | 142 |
| 2 | 1035 | 142 |
| 0 | 9115 | 142 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) |
(-.f64 #s(literal 3 binary64) x) |
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) |
(/.f64 y (-.f64 #s(literal 1 binary64) x)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) |
(*.f64 x x) |
(*.f64 y #s(literal 3 binary64)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) |
(*.f64 (-.f64 x #s(literal 4 binary64)) x) |
(-.f64 x #s(literal 4 binary64)) |
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) |
(*.f64 (/.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 1 binary64) x) |
| Outputs |
|---|
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Compiled 50 749 to 4 667 computations (90.8% saved)
14 alts after pruning (12 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 677 | 5 | 2 682 |
| Fresh | 1 | 7 | 8 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 681 | 14 | 2 695 |
| Status | Accuracy | Program |
|---|---|---|
| 50.1% | (/.f64 (-.f64 #s(literal 3 binary64) x) #s(approx (* (/ y (- 1 x)) 3) (*.f64 (/.f64 y x) #s(literal -3 binary64)))) | |
| ▶ | 60.9% | (/.f64 (-.f64 #s(literal 3 binary64) x) #s(approx (* (/ y (- 1 x)) 3) (*.f64 y #s(literal 3 binary64)))) |
| 95.3% | (/.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))) | |
| 61.2% | (/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) | |
| ✓ | 45.7% | (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) |
| 53.1% | (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) | |
| 46.0% | (*.f64 (/.f64 #s(literal 1/3 binary64) y) #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x))) | |
| ▶ | 99.7% | (*.f64 (neg.f64 (-.f64 #s(literal 3 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal -3 binary64) y))) |
| ▶ | 53.0% | (*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (/.f64 #s(literal 3 binary64) y)) #s(literal 1/3 binary64)) |
| ▶ | 50.1% | (*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) (-.f64 x #s(literal 4 binary64)))) #s(literal 1/3 binary64)) |
| ✓ | 53.3% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
| 99.6% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))) | |
| ▶ | 50.4% | #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)))) |
| 50.1% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)) |
Compiled 232 to 212 computations (8.6% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (*.f64 (/.f64 x y) (-.f64 x #s(literal 4 binary64))) | |
| cost-diff | 0 | #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) (-.f64 x #s(literal 4 binary64)))) | |
| cost-diff | 0 | (*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) (-.f64 x #s(literal 4 binary64)))) #s(literal 1/3 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 (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) | |
| cost-diff | 0 | (*.f64 y #s(literal 3 binary64)) | |
| cost-diff | 0 | #s(approx (* (/ y (- 1 x)) 3) (*.f64 y #s(literal 3 binary64))) | |
| cost-diff | 0 | (-.f64 #s(literal 3 binary64) x) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 3 binary64) x) #s(approx (* (/ y (- 1 x)) 3) (*.f64 y #s(literal 3 binary64)))) | |
| cost-diff | 0 | (/.f64 #s(literal 3 binary64) y) | |
| cost-diff | 0 | #s(approx (* (/ (- 3 x) y) (- 1 x)) (/.f64 #s(literal 3 binary64) y)) | |
| cost-diff | 0 | (*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (/.f64 #s(literal 3 binary64) y)) #s(literal 1/3 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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 198 |
| 0 | 55 | 198 |
| 1 | 111 | 196 |
| 2 | 263 | 196 |
| 3 | 688 | 196 |
| 4 | 2373 | 196 |
| 5 | 5920 | 196 |
| 0 | 8190 | 189 |
| 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 (* (/ (- 3 x) y) (- 1 x)) (/.f64 #s(literal 3 binary64) y)) #s(literal 1/3 binary64)) |
#s(approx (* (/ (- 3 x) y) (- 1 x)) (/.f64 #s(literal 3 binary64) y)) |
(/.f64 #s(literal 3 binary64) y) |
#s(literal 3 binary64) |
y |
#s(literal 1/3 binary64) |
(/.f64 (-.f64 #s(literal 3 binary64) x) #s(approx (* (/ y (- 1 x)) 3) (*.f64 y #s(literal 3 binary64)))) |
(-.f64 #s(literal 3 binary64) x) |
#s(literal 3 binary64) |
x |
#s(approx (* (/ y (- 1 x)) 3) (*.f64 y #s(literal 3 binary64))) |
(*.f64 y #s(literal 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)))) |
(*.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 #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) (-.f64 x #s(literal 4 binary64)))) #s(literal 1/3 binary64)) |
#s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) (-.f64 x #s(literal 4 binary64)))) |
(*.f64 (/.f64 x y) (-.f64 x #s(literal 4 binary64))) |
(/.f64 x y) |
x |
y |
(-.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal 1/3 binary64) |
| 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 (* (/ (- 3 x) y) (- 1 x)) (/.f64 #s(literal 3 binary64) y)) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) #s(approx (* (/ (- 3 x) y) (- 1 x)) (/.f64 #s(literal 3 binary64) y))) |
#s(approx (* (/ (- 3 x) y) (- 1 x)) (/.f64 #s(literal 3 binary64) y)) |
(/.f64 #s(literal 3 binary64) y) |
#s(literal 3 binary64) |
y |
#s(literal 1/3 binary64) |
(/.f64 (-.f64 #s(literal 3 binary64) x) #s(approx (* (/ y (- 1 x)) 3) (*.f64 y #s(literal 3 binary64)))) |
(-.f64 #s(literal 3 binary64) x) |
#s(literal 3 binary64) |
x |
#s(approx (* (/ y (- 1 x)) 3) (*.f64 y #s(literal 3 binary64))) |
(*.f64 y #s(literal 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 (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x)) |
(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x) |
(/.f64 x y) |
x |
y |
(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) |
#s(literal 1/3 binary64) |
#s(literal -4/3 binary64) |
(*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) (-.f64 x #s(literal 4 binary64)))) #s(literal 1/3 binary64)) |
(*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 (-.f64 x #s(literal 4 binary64)) y) x)) #s(literal 1/3 binary64)) |
#s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) (-.f64 x #s(literal 4 binary64)))) |
#s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 (-.f64 x #s(literal 4 binary64)) y) x)) |
(*.f64 (/.f64 x y) (-.f64 x #s(literal 4 binary64))) |
(*.f64 (/.f64 (-.f64 x #s(literal 4 binary64)) y) x) |
(/.f64 x y) |
x |
y |
(-.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal 1/3 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 x #s(literal 4 binary64)) | |
| accuracy | 0.07650375976844202 | (*.f64 (/.f64 x y) (-.f64 x #s(literal 4 binary64))) | |
| accuracy | 0.49414997615378947 | (*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) (-.f64 x #s(literal 4 binary64)))) #s(literal 1/3 binary64)) | |
| accuracy | 31.660608903021178 | #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) (-.f64 x #s(literal 4 binary64)))) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0.1640625 | (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) | |
| accuracy | 0.203125 | (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) | |
| accuracy | 31.65452035664905 | #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)))) | |
| accuracy | 0 | (-.f64 #s(literal 3 binary64) x) | |
| accuracy | 0 | (*.f64 y #s(literal 3 binary64)) | |
| accuracy | 0.17578125 | (/.f64 (-.f64 #s(literal 3 binary64) x) #s(approx (* (/ y (- 1 x)) 3) (*.f64 y #s(literal 3 binary64)))) | |
| accuracy | 30.049334049653666 | #s(approx (* (/ y (- 1 x)) 3) (*.f64 y #s(literal 3 binary64))) | |
| accuracy | 0 | (/.f64 #s(literal 3 binary64) y) | |
| accuracy | 0.49414997615378947 | (*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (/.f64 #s(literal 3 binary64) y)) #s(literal 1/3 binary64)) | |
| accuracy | 29.88981743660015 | #s(approx (* (/ (- 3 x) y) (- 1 x)) (/.f64 #s(literal 3 binary64) y)) | |
| accuracy | 0 | (*.f64 #s(literal -3 binary64) y) | |
| accuracy | 0 | (neg.f64 (-.f64 #s(literal 3 binary64) x)) | |
| accuracy | 0.16015625 | (*.f64 (neg.f64 (-.f64 #s(literal 3 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal -3 binary64) y))) | |
| accuracy | 0.16796875 | (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal -3 binary64) y)) |
| 55.0ms | 239× | 0 | valid |
| 4.0ms | 8× | 2 | valid |
| 3.0ms | 9× | 1 | valid |
Compiled 161 to 32 computations (80.1% saved)
ival-mult: 15.0ms (33.7% of total)ival-div: 11.0ms (24.7% of total)const: 9.0ms (20.2% of total)ival-sub: 4.0ms (9% of total)adjust: 1.0ms (2.2% of total)ival-add: 1.0ms (2.2% of total)exact: 1.0ms (2.2% of total)ival-neg: 1.0ms (2.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 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 (* (/ (- 3 x) y) (- 1 x)) (/.f64 #s(literal 3 binary64) y)) #s(literal 1/3 binary64)) (patch (*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (/.f64 #s(literal 3 binary64) y)) #s(literal 1/3 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ (- 3 x) y) (- 1 x)) (/.f64 #s(literal 3 binary64) y)) (patch #s(approx (* (/ (- 3 x) y) (- 1 x)) (/.f64 #s(literal 3 binary64) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 3 binary64) y) (patch (/.f64 #s(literal 3 binary64) y) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 #s(literal 3 binary64) x) #s(approx (* (/ y (- 1 x)) 3) (*.f64 y #s(literal 3 binary64)))) (patch (/.f64 (-.f64 #s(literal 3 binary64) x) #s(approx (* (/ y (- 1 x)) 3) (*.f64 y #s(literal 3 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ y (- 1 x)) 3) (*.f64 y #s(literal 3 binary64))) (patch #s(approx (* (/ y (- 1 x)) 3) (*.f64 y #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 #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)))) (patch #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)))) #<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 #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) (-.f64 x #s(literal 4 binary64)))) #s(literal 1/3 binary64)) (patch (*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) (-.f64 x #s(literal 4 binary64)))) #s(literal 1/3 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) (-.f64 x #s(literal 4 binary64)))) (patch #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) (-.f64 x #s(literal 4 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 x y) (-.f64 x #s(literal 4 binary64))) (patch (*.f64 (/.f64 x y) (-.f64 x #s(literal 4 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -3 binary64) y) (patch (*.f64 #s(literal -3 binary64) y) #<representation binary64>) () ()) |
#s(alt (-.f64 x #s(literal 4 binary64)) (patch (-.f64 x #s(literal 4 binary64)) #<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>) () ())) ()) |
#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>) () ())) ()) |
#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>) () ())) ()) |
#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>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (/.f64 #s(literal 3 binary64) y)) #s(literal 1/3 binary64)) (patch (*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (/.f64 #s(literal 3 binary64) y)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (/.f64 #s(literal 3 binary64) y)) #s(literal 1/3 binary64)) (patch (*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (/.f64 #s(literal 3 binary64) y)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (/.f64 #s(literal 3 binary64) y)) #s(literal 1/3 binary64)) (patch (*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (/.f64 #s(literal 3 binary64) y)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (/.f64 #s(literal 3 binary64) y)) #s(literal 1/3 binary64)) (patch (*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (/.f64 #s(literal 3 binary64) y)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (- 1 x) (- 3 x)) y) (taylor 0 y) (#s(alt #s(approx (* (/ (- 3 x) y) (- 1 x)) (/.f64 #s(literal 3 binary64) y)) (patch #s(approx (* (/ (- 3 x) y) (- 1 x)) (/.f64 #s(literal 3 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (- 1 x) (- 3 x)) y) (taylor 0 y) (#s(alt #s(approx (* (/ (- 3 x) y) (- 1 x)) (/.f64 #s(literal 3 binary64) y)) (patch #s(approx (* (/ (- 3 x) y) (- 1 x)) (/.f64 #s(literal 3 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (- 1 x) (- 3 x)) y) (taylor 0 y) (#s(alt #s(approx (* (/ (- 3 x) y) (- 1 x)) (/.f64 #s(literal 3 binary64) y)) (patch #s(approx (* (/ (- 3 x) y) (- 1 x)) (/.f64 #s(literal 3 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (- 1 x) (- 3 x)) y) (taylor 0 y) (#s(alt #s(approx (* (/ (- 3 x) y) (- 1 x)) (/.f64 #s(literal 3 binary64) y)) (patch #s(approx (* (/ (- 3 x) y) (- 1 x)) (/.f64 #s(literal 3 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ 3 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 3 binary64) y) (patch (/.f64 #s(literal 3 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 3 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 3 binary64) y) (patch (/.f64 #s(literal 3 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 3 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 3 binary64) y) (patch (/.f64 #s(literal 3 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 3 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 3 binary64) y) (patch (/.f64 #s(literal 3 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 (-.f64 #s(literal 3 binary64) x) #s(approx (* (/ y (- 1 x)) 3) (*.f64 y #s(literal 3 binary64)))) (patch (/.f64 (-.f64 #s(literal 3 binary64) x) #s(approx (* (/ y (- 1 x)) 3) (*.f64 y #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 (-.f64 #s(literal 3 binary64) x) #s(approx (* (/ y (- 1 x)) 3) (*.f64 y #s(literal 3 binary64)))) (patch (/.f64 (-.f64 #s(literal 3 binary64) x) #s(approx (* (/ y (- 1 x)) 3) (*.f64 y #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 (-.f64 #s(literal 3 binary64) x) #s(approx (* (/ y (- 1 x)) 3) (*.f64 y #s(literal 3 binary64)))) (patch (/.f64 (-.f64 #s(literal 3 binary64) x) #s(approx (* (/ y (- 1 x)) 3) (*.f64 y #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 (-.f64 #s(literal 3 binary64) x) #s(approx (* (/ y (- 1 x)) 3) (*.f64 y #s(literal 3 binary64)))) (patch (/.f64 (-.f64 #s(literal 3 binary64) x) #s(approx (* (/ y (- 1 x)) 3) (*.f64 y #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (/ y (- 1 x))) (taylor 0 y) (#s(alt #s(approx (* (/ y (- 1 x)) 3) (*.f64 y #s(literal 3 binary64))) (patch #s(approx (* (/ y (- 1 x)) 3) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (/ y (- 1 x))) (taylor 0 y) (#s(alt #s(approx (* (/ y (- 1 x)) 3) (*.f64 y #s(literal 3 binary64))) (patch #s(approx (* (/ y (- 1 x)) 3) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (/ y (- 1 x))) (taylor 0 y) (#s(alt #s(approx (* (/ y (- 1 x)) 3) (*.f64 y #s(literal 3 binary64))) (patch #s(approx (* (/ y (- 1 x)) 3) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (/ y (- 1 x))) (taylor 0 y) (#s(alt #s(approx (* (/ y (- 1 x)) 3) (*.f64 y #s(literal 3 binary64))) (patch #s(approx (* (/ y (- 1 x)) 3) (*.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 #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)))) (patch #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)))) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt #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)))) (patch #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)))) #<representation binary64>) () ())) ()) |
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#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 (* 1/3 (/ (pow x 2) y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (/.f64 #s(literal 3 binary64) y)) #s(literal 1/3 binary64)) (patch (*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (/.f64 #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 #s(approx (* (/ (- 3 x) y) (- 1 x)) (/.f64 #s(literal 3 binary64) y)) #s(literal 1/3 binary64)) (patch (*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (/.f64 #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 #s(approx (* (/ (- 3 x) y) (- 1 x)) (/.f64 #s(literal 3 binary64) y)) #s(literal 1/3 binary64)) (patch (*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (/.f64 #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 #s(approx (* (/ (- 3 x) y) (- 1 x)) (/.f64 #s(literal 3 binary64) y)) #s(literal 1/3 binary64)) (patch (*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (/.f64 #s(literal 3 binary64) y)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) y) (taylor -inf x) (#s(alt #s(approx (* (/ (- 3 x) y) (- 1 x)) (/.f64 #s(literal 3 binary64) y)) (patch #s(approx (* (/ (- 3 x) y) (- 1 x)) (/.f64 #s(literal 3 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (/ 1 y) (* 4 (/ 1 (* x y))))) (taylor -inf x) (#s(alt #s(approx (* (/ (- 3 x) y) (- 1 x)) (/.f64 #s(literal 3 binary64) y)) (patch #s(approx (* (/ (- 3 x) y) (- 1 x)) (/.f64 #s(literal 3 binary64) y)) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow x 2) (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 3 (/ 1 (* x y)))) x)) (/ 1 y))) (taylor -inf x) (#s(alt #s(approx (* (/ (- 3 x) y) (- 1 x)) (/.f64 #s(literal 3 binary64) y)) (patch #s(approx (* (/ (- 3 x) y) (- 1 x)) (/.f64 #s(literal 3 binary64) y)) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 3 binary64) x) #s(approx (* (/ y (- 1 x)) 3) (*.f64 y #s(literal 3 binary64)))) (patch (/.f64 (-.f64 #s(literal 3 binary64) x) #s(approx (* (/ y (- 1 x)) 3) (*.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 #s(literal 3 binary64) x) #s(approx (* (/ y (- 1 x)) 3) (*.f64 y #s(literal 3 binary64)))) (patch (/.f64 (-.f64 #s(literal 3 binary64) x) #s(approx (* (/ y (- 1 x)) 3) (*.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 #s(literal 3 binary64) x) #s(approx (* (/ y (- 1 x)) 3) (*.f64 y #s(literal 3 binary64)))) (patch (/.f64 (-.f64 #s(literal 3 binary64) x) #s(approx (* (/ y (- 1 x)) 3) (*.f64 y #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (/ y x)) (taylor -inf x) (#s(alt #s(approx (* (/ y (- 1 x)) 3) (*.f64 y #s(literal 3 binary64))) (patch #s(approx (* (/ y (- 1 x)) 3) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* 3 y) (* 3 (/ y x))) x)) (taylor -inf x) (#s(alt #s(approx (* (/ y (- 1 x)) 3) (*.f64 y #s(literal 3 binary64))) (patch #s(approx (* (/ y (- 1 x)) 3) (*.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 #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)))) (patch #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)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) (taylor -inf x) (#s(alt #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) (patch #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)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (pow x 2) y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) (patch (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) (patch (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) (patch (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) (patch (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 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 x) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (patch (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 4/3 (/ 1 x)) 1/3))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (patch (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 4/3 (/ 1 x)) 1/3))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (patch (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 4/3 (/ 1 x)) 1/3))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (patch (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (pow x 2) y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) (-.f64 x #s(literal 4 binary64)))) #s(literal 1/3 binary64)) (patch (*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) (-.f64 x #s(literal 4 binary64)))) #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 #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) (-.f64 x #s(literal 4 binary64)))) #s(literal 1/3 binary64)) (patch (*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) (-.f64 x #s(literal 4 binary64)))) #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 #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) (-.f64 x #s(literal 4 binary64)))) #s(literal 1/3 binary64)) (patch (*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) (-.f64 x #s(literal 4 binary64)))) #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 #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) (-.f64 x #s(literal 4 binary64)))) #s(literal 1/3 binary64)) (patch (*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) (-.f64 x #s(literal 4 binary64)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) y) (taylor -inf x) (#s(alt #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) (-.f64 x #s(literal 4 binary64)))) (patch #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) (-.f64 x #s(literal 4 binary64)))) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow x 2) (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 3 (/ 1 (* x y)))) x)) (/ 1 y))) (taylor -inf x) (#s(alt #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) (-.f64 x #s(literal 4 binary64)))) (patch #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) (-.f64 x #s(literal 4 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 3 (/ 1 (* x y)))) x)) (/ 1 y))) (taylor -inf x) (#s(alt #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) (-.f64 x #s(literal 4 binary64)))) (patch #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) (-.f64 x #s(literal 4 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) (-.f64 x #s(literal 4 binary64))) (patch (*.f64 (/.f64 x y) (-.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (/ 1 y) (* 4 (/ 1 (* x y))))) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) (-.f64 x #s(literal 4 binary64))) (patch (*.f64 (/.f64 x y) (-.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (/ 1 y) (* 4 (/ 1 (* x y))))) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) (-.f64 x #s(literal 4 binary64))) (patch (*.f64 (/.f64 x y) (-.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (/ 1 y) (* 4 (/ 1 (* x y))))) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) (-.f64 x #s(literal 4 binary64))) (patch (*.f64 (/.f64 x y) (-.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (-.f64 x #s(literal 4 binary64)) (patch (-.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 4 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 4 binary64)) (patch (-.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 4 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 4 binary64)) (patch (-.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 4 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 4 binary64)) (patch (-.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | y | @ | inf | ((neg (- 3 x)) (/ (- 1 x) (* -3 y)) (* (neg (- 3 x)) (/ (- 1 x) (* -3 y))) (- 3 x) (* (* (/ (- 3 x) y) (- 1 x)) 1/3) (* (/ (- 3 x) y) (- 1 x)) (/ 3 y) (/ (- 3 x) (* (/ y (- 1 x)) 3)) (* (/ y (- 1 x)) 3) (* y 3) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (/ x y) (+ (* x 1/3) -4/3)) (/ x y) (+ (* x 1/3) -4/3) (* (* (/ (- 3 x) y) (- 1 x)) 1/3) (* (/ (- 3 x) y) (- 1 x)) (* (/ x y) (- x 4)) (* -3 y) (- x 4)) |
| 6.0ms | x | @ | inf | ((neg (- 3 x)) (/ (- 1 x) (* -3 y)) (* (neg (- 3 x)) (/ (- 1 x) (* -3 y))) (- 3 x) (* (* (/ (- 3 x) y) (- 1 x)) 1/3) (* (/ (- 3 x) y) (- 1 x)) (/ 3 y) (/ (- 3 x) (* (/ y (- 1 x)) 3)) (* (/ y (- 1 x)) 3) (* y 3) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (/ x y) (+ (* x 1/3) -4/3)) (/ x y) (+ (* x 1/3) -4/3) (* (* (/ (- 3 x) y) (- 1 x)) 1/3) (* (/ (- 3 x) y) (- 1 x)) (* (/ x y) (- x 4)) (* -3 y) (- x 4)) |
| 4.0ms | y | @ | 0 | ((neg (- 3 x)) (/ (- 1 x) (* -3 y)) (* (neg (- 3 x)) (/ (- 1 x) (* -3 y))) (- 3 x) (* (* (/ (- 3 x) y) (- 1 x)) 1/3) (* (/ (- 3 x) y) (- 1 x)) (/ 3 y) (/ (- 3 x) (* (/ y (- 1 x)) 3)) (* (/ y (- 1 x)) 3) (* y 3) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (/ x y) (+ (* x 1/3) -4/3)) (/ x y) (+ (* x 1/3) -4/3) (* (* (/ (- 3 x) y) (- 1 x)) 1/3) (* (/ (- 3 x) y) (- 1 x)) (* (/ x y) (- x 4)) (* -3 y) (- x 4)) |
| 4.0ms | y | @ | -inf | ((neg (- 3 x)) (/ (- 1 x) (* -3 y)) (* (neg (- 3 x)) (/ (- 1 x) (* -3 y))) (- 3 x) (* (* (/ (- 3 x) y) (- 1 x)) 1/3) (* (/ (- 3 x) y) (- 1 x)) (/ 3 y) (/ (- 3 x) (* (/ y (- 1 x)) 3)) (* (/ y (- 1 x)) 3) (* y 3) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (/ x y) (+ (* x 1/3) -4/3)) (/ x y) (+ (* x 1/3) -4/3) (* (* (/ (- 3 x) y) (- 1 x)) 1/3) (* (/ (- 3 x) y) (- 1 x)) (* (/ x y) (- x 4)) (* -3 y) (- x 4)) |
| 2.0ms | x | @ | 0 | ((neg (- 3 x)) (/ (- 1 x) (* -3 y)) (* (neg (- 3 x)) (/ (- 1 x) (* -3 y))) (- 3 x) (* (* (/ (- 3 x) y) (- 1 x)) 1/3) (* (/ (- 3 x) y) (- 1 x)) (/ 3 y) (/ (- 3 x) (* (/ y (- 1 x)) 3)) (* (/ y (- 1 x)) 3) (* y 3) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (/ x y) (+ (* x 1/3) -4/3)) (/ x y) (+ (* x 1/3) -4/3) (* (* (/ (- 3 x) y) (- 1 x)) 1/3) (* (/ (- 3 x) y) (- 1 x)) (* (/ x y) (- x 4)) (* -3 y) (- x 4)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 152 | 2926 |
| 1 | 438 | 2850 |
| 2 | 1189 | 2826 |
| 3 | 3256 | 2762 |
| 0 | 8775 | 2565 |
| 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)) |
(/ (* (- 1 x) (- 3 x)) y) |
(/ (* (- 1 x) (- 3 x)) y) |
(/ (* (- 1 x) (- 3 x)) y) |
(/ (* (- 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 (- 1 x))) |
(* 3 (/ y (- 1 x))) |
(* 3 (/ y (- 1 x))) |
(* 3 (/ y (- 1 x))) |
(* 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) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/ (* (- 1 x) (- 3 x)) y) |
(/ (* (- 1 x) (- 3 x)) y) |
(/ (* (- 1 x) (- 3 x)) y) |
(/ (* (- 1 x) (- 3 x)) y) |
(/ (* x (- x 4)) y) |
(/ (* x (- x 4)) y) |
(/ (* x (- x 4)) y) |
(/ (* x (- x 4)) 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)) |
(/ (* (- 1 x) (- 3 x)) y) |
(/ (* (- 1 x) (- 3 x)) y) |
(/ (* (- 1 x) (- 3 x)) y) |
(/ (* (- 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 (- 1 x))) |
(* 3 (/ y (- 1 x))) |
(* 3 (/ y (- 1 x))) |
(* 3 (/ y (- 1 x))) |
(* 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) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/ (* (- 1 x) (- 3 x)) y) |
(/ (* (- 1 x) (- 3 x)) y) |
(/ (* (- 1 x) (- 3 x)) y) |
(/ (* (- 1 x) (- 3 x)) y) |
(/ (* x (- x 4)) y) |
(/ (* x (- x 4)) y) |
(/ (* x (- x 4)) y) |
(/ (* x (- x 4)) 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)) |
(/ (* (- 1 x) (- 3 x)) y) |
(/ (* (- 1 x) (- 3 x)) y) |
(/ (* (- 1 x) (- 3 x)) y) |
(/ (* (- 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 (- 1 x))) |
(* 3 (/ y (- 1 x))) |
(* 3 (/ y (- 1 x))) |
(* 3 (/ y (- 1 x))) |
(* 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) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/ (* (- 1 x) (- 3 x)) y) |
(/ (* (- 1 x) (- 3 x)) y) |
(/ (* (- 1 x) (- 3 x)) y) |
(/ (* (- 1 x) (- 3 x)) y) |
(/ (* x (- x 4)) y) |
(/ (* x (- x 4)) y) |
(/ (* x (- x 4)) y) |
(/ (* x (- x 4)) 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 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))) |
(/ 1 y) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(* 3 y) |
(+ (* 3 y) (* 3 (* x y))) |
(+ (* 3 y) (* x (+ (* 3 y) (* 3 (* x y))))) |
(+ (* 3 y) (* x (+ (* 3 y) (* x (+ (* 3 y) (* 3 (* x y))))))) |
(/ 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 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))) |
(* -4 (/ x y)) |
(* x (- (/ x y) (* 4 (/ 1 y)))) |
(* x (- (/ x y) (* 4 (/ 1 y)))) |
(* x (- (/ x y) (* 4 (/ 1 y)))) |
-4 |
(- x 4) |
(- x 4) |
(- x 4) |
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) 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)))) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* -3 (/ y x)) |
(/ (+ (* -3 y) (* -3 (/ y x))) x) |
(/ (+ (* -3 y) (+ (* -3 (/ y x)) (* -3 (/ y (pow x 2))))) x) |
(/ (+ (* -3 y) (+ (* -3 (/ y x)) (+ (* -3 (/ y (pow x 2))) (* -3 (/ y (pow x 3)))))) x) |
(* 1/3 (/ (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) y) |
(* (pow x 2) (- (/ 1 y) (* 4 (/ 1 (* x y))))) |
(* (pow x 2) (- (+ (/ 1 y) (/ 3 (* (pow x 2) y))) (/ 4 (* x y)))) |
(* (pow x 2) (- (+ (/ 1 y) (/ 3 (* (pow x 2) y))) (/ 4 (* x y)))) |
(/ (pow x 2) y) |
(* (pow x 2) (- (/ 1 y) (* 4 (/ 1 (* x y))))) |
(* (pow x 2) (- (/ 1 y) (* 4 (/ 1 (* x y))))) |
(* (pow x 2) (- (/ 1 y) (* 4 (/ 1 (* x y))))) |
x |
(* x (- 1 (* 4 (/ 1 x)))) |
(* x (- 1 (* 4 (/ 1 x)))) |
(* x (- 1 (* 4 (/ 1 x)))) |
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) 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))) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* -3 (/ y x)) |
(* -1 (/ (+ (* 3 y) (* 3 (/ y x))) x)) |
(* -1 (/ (+ (* -1 (/ (+ (* -3 y) (* -3 (/ y x))) x)) (* 3 y)) x)) |
(* -1 (/ (+ (* -1 (/ (+ (* -3 y) (* -1 (/ (+ (* 3 y) (* 3 (/ y x))) x))) x)) (* 3 y)) x)) |
(* 1/3 (/ (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) y) |
(* (pow x 2) (- (/ 1 y) (* 4 (/ 1 (* x y))))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 3 (/ 1 (* x y)))) x)) (/ 1 y))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 3 (/ 1 (* x y)))) x)) (/ 1 y))) |
(/ (pow x 2) y) |
(* (pow x 2) (- (/ 1 y) (* 4 (/ 1 (* x y))))) |
(* (pow x 2) (- (/ 1 y) (* 4 (/ 1 (* x y))))) |
(* (pow x 2) (- (/ 1 y) (* 4 (/ 1 (* x y))))) |
x |
(* -1 (* x (- (* 4 (/ 1 x)) 1))) |
(* -1 (* x (- (* 4 (/ 1 x)) 1))) |
(* -1 (* x (- (* 4 (/ 1 x)) 1))) |
| 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)) |
(/ (* (- 1 x) (- 3 x)) y) |
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) |
(/ (* (- 1 x) (- 3 x)) y) |
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) |
(/ (* (- 1 x) (- 3 x)) y) |
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) |
(/ (* (- 1 x) (- 3 x)) y) |
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) |
(/ 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 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 (- 1 x))) |
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) |
(* 3 (/ y (- 1 x))) |
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) |
(* 3 (/ y (- 1 x))) |
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) |
(* 3 (/ y (- 1 x))) |
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) |
(* 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 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)) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x) y) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x) y) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x) y) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x) y) |
(/ 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 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 x) (- 3 x)) y) |
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) |
(/ (* (- 1 x) (- 3 x)) y) |
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) |
(/ (* (- 1 x) (- 3 x)) y) |
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) |
(/ (* (- 1 x) (- 3 x)) y) |
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(*.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) (* 4 (/ 1 (* x y))))) |
(/.f64 (*.f64 (-.f64 x #s(literal 4 binary64)) x) y) |
(* (pow x 2) (- (/ 1 y) (* 4 (/ 1 (* x y))))) |
(/.f64 (*.f64 (-.f64 x #s(literal 4 binary64)) x) y) |
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)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 170 |
| 0 | 55 | 170 |
| 1 | 199 | 168 |
| 2 | 1499 | 168 |
| 0 | 8477 | 168 |
| 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 (* (/ (- 3 x) y) (- 1 x)) (/.f64 #s(literal 3 binary64) y)) #s(literal 1/3 binary64)) |
#s(approx (* (/ (- 3 x) y) (- 1 x)) (/.f64 #s(literal 3 binary64) y)) |
(/.f64 #s(literal 3 binary64) y) |
(/.f64 (-.f64 #s(literal 3 binary64) x) #s(approx (* (/ y (- 1 x)) 3) (*.f64 y #s(literal 3 binary64)))) |
#s(approx (* (/ y (- 1 x)) 3) (*.f64 y #s(literal 3 binary64))) |
(*.f64 y #s(literal 3 binary64)) |
#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)))) |
(*.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 #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) (-.f64 x #s(literal 4 binary64)))) #s(literal 1/3 binary64)) |
#s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) (-.f64 x #s(literal 4 binary64)))) |
(*.f64 (/.f64 x y) (-.f64 x #s(literal 4 binary64))) |
(*.f64 #s(literal -3 binary64) y) |
(-.f64 x #s(literal 4 binary64)) |
| Outputs |
|---|
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Compiled 21 968 to 3 170 computations (85.6% saved)
18 alts after pruning (13 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 323 | 9 | 1 332 |
| Fresh | 3 | 4 | 7 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 328 | 18 | 1 346 |
| Status | Accuracy | Program |
|---|---|---|
| 50.1% | (/.f64 (-.f64 #s(literal 3 binary64) x) #s(approx (* (/ y (- 1 x)) 3) (*.f64 (/.f64 y x) #s(literal -3 binary64)))) | |
| ✓ | 60.9% | (/.f64 (-.f64 #s(literal 3 binary64) x) #s(approx (* (/ y (- 1 x)) 3) (*.f64 y #s(literal 3 binary64)))) |
| 53.1% | (/.f64 #s(approx (- 3 x) #s(literal 3 binary64)) #s(approx (* (/ y (- 1 x)) 3) (*.f64 y #s(literal 3 binary64)))) | |
| 95.3% | (/.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))) | |
| 61.2% | (/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) | |
| ✓ | 45.7% | (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.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)) |
| ✓ | 53.0% | (*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (/.f64 #s(literal 3 binary64) y)) #s(literal 1/3 binary64)) |
| 49.9% | (*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) x)) #s(literal 1/3 binary64)) | |
| 50.1% | #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)) | |
| ✓ | 53.3% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
| ▶ | 99.6% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))) |
| ✓ | 50.4% | #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)))) |
| 50.4% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (+.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal -4/3 binary64)))) | |
| ▶ | 50.1% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) (*.f64 #s(literal 1/3 binary64) x)))) |
| 12.7% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) #s(literal -4/3 binary64)))) | |
| ▶ | 50.4% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y))) |
| ▶ | 12.7% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) |
Compiled 269 to 246 computations (8.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) | |
| cost-diff | 0 | #s(approx (/ (* (- 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))) | |
| cost-diff | 128 | (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) | |
| cost-diff | 0 | (*.f64 x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y)) | |
| cost-diff | 0 | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y))) | |
| cost-diff | 0 | #s(approx (+ (* x 1/3) -4/3) (*.f64 #s(literal 1/3 binary64) x)) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) (*.f64 #s(literal 1/3 binary64) x))) | |
| cost-diff | 0 | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) (*.f64 #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 (/ (* (- 1 x) (- 3 x)) (* y 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 | 128 | (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 y #s(literal -3 binary64))) | |
| cost-diff | 128 | (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 y #s(literal -3 binary64))) (+.f64 #s(literal -1 binary64) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 233 |
| 0 | 57 | 229 |
| 1 | 116 | 229 |
| 2 | 254 | 229 |
| 3 | 534 | 223 |
| 4 | 1609 | 223 |
| 5 | 5495 | 223 |
| 0 | 8059 | 215 |
| 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 (/ (* (- 1 x) (- 3 x)) (* y 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 x y) #s(approx (+ (* x 1/3) -4/3) (*.f64 #s(literal 1/3 binary64) x)))) |
(*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) (*.f64 #s(literal 1/3 binary64) x))) |
(/.f64 x y) |
x |
y |
#s(approx (+ (* x 1/3) -4/3) (*.f64 #s(literal 1/3 binary64) x)) |
(*.f64 #s(literal 1/3 binary64) x) |
#s(literal 1/3 binary64) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y))) |
(*.f64 x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y)) |
x |
(/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) |
#s(literal 1/3 binary64) |
#s(literal -4/3 binary64) |
y |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) |
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) |
#s(literal -1/3 binary64) |
x |
#s(literal 1/3 binary64) |
y |
(-.f64 #s(literal 3 binary64) x) |
#s(literal 3 binary64) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 y #s(literal -3 binary64))) (+.f64 #s(literal -1 binary64) x)) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x #s(literal 1 binary64)) y) |
(/.f64 (-.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 (/ (* (- 1 x) (- 3 x)) (* y 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)) #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 x y) #s(approx (+ (* x 1/3) -4/3) (*.f64 #s(literal 1/3 binary64) x)))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 #s(approx (+ (* x 1/3) -4/3) (*.f64 #s(literal 1/3 binary64) x)) (/.f64 x y))) |
(*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) (*.f64 #s(literal 1/3 binary64) x))) |
(*.f64 #s(approx (+ (* x 1/3) -4/3) (*.f64 #s(literal 1/3 binary64) x)) (/.f64 x y)) |
(/.f64 x y) |
x |
y |
#s(approx (+ (* x 1/3) -4/3) (*.f64 #s(literal 1/3 binary64) x)) |
(*.f64 #s(literal 1/3 binary64) x) |
#s(literal 1/3 binary64) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x)) |
(*.f64 x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x) |
x |
(/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) |
#s(literal 1/3 binary64) |
#s(literal -4/3 binary64) |
y |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x #s(literal 1 binary64)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x #s(literal 1 binary64)) y) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) |
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) |
#s(literal -1/3 binary64) |
x |
#s(literal 1/3 binary64) |
y |
(-.f64 #s(literal 3 binary64) x) |
#s(literal 3 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | #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))) | |
| accuracy | 0.16015625 | (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) | |
| accuracy | 0.16015625 | (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) | |
| accuracy | 0.27734375 | (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) | |
| accuracy | 0.1328125 | (*.f64 x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y)) | |
| accuracy | 0.1640625 | (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) | |
| accuracy | 0.265625 | (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) | |
| accuracy | 31.447275649380053 | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y))) | |
| accuracy | 0.19921875 | (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) (*.f64 #s(literal 1/3 binary64) x))) | |
| accuracy | 0.32421875 | (*.f64 #s(literal 1/3 binary64) x) | |
| accuracy | 31.447275649380053 | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) (*.f64 #s(literal 1/3 binary64) x)))) | |
| accuracy | 31.914156679653622 | #s(approx (+ (* x 1/3) -4/3) (*.f64 #s(literal 1/3 binary64) x)) | |
| accuracy | 0.1796875 | (*.f64 (/.f64 #s(literal -4/3 binary64) y) x) | |
| accuracy | 0.43359375 | (/.f64 #s(literal -4/3 binary64) y) | |
| accuracy | 24.667926736673394 | #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x)) | |
| accuracy | 31.447275649380053 | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 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 | 0.04296875 | (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 y #s(literal -3 binary64))) (+.f64 #s(literal -1 binary64) x)) | |
| accuracy | 0.213222509768442 | (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 y #s(literal -3 binary64))) |
| 81.0ms | 255× | 0 | valid |
| 1.0ms | 1× | 5 | exit |
Compiled 177 to 34 computations (80.8% saved)
ival-div: 19.0ms (31.9% of total)ival-mult: 18.0ms (30.3% of total)const: 14.0ms (23.5% of total)ival-add: 5.0ms (8.4% of total)ival-sub: 3.0ms (5% of total)exact: 1.0ms (1.7% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#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 (-.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 #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 (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) (patch #s(approx (/ (* (- 1 x) (- 3 x)) (* y 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 x y) #s(approx (+ (* x 1/3) -4/3) (*.f64 #s(literal 1/3 binary64) x)))) (patch #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) (*.f64 #s(literal 1/3 binary64) x)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) (*.f64 #s(literal 1/3 binary64) x))) (patch (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) (*.f64 #s(literal 1/3 binary64) x))) #<representation binary64>) () ()) |
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* x 1/3) -4/3) (*.f64 #s(literal 1/3 binary64) x)) (patch #s(approx (+ (* x 1/3) -4/3) (*.f64 #s(literal 1/3 binary64) x)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y))) (patch #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y)) (patch (*.f64 x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) (patch (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) (patch (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) (patch (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (- 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))) (patch #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))) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (patch (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) (patch (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal -1 binary64) x) (patch (+.f64 #s(literal -1 binary64) x) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/3 binary64) x) (patch (*.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1/3 (/ (* (- 3 x) (- x 1)) y)) (taylor 0 y) (#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 (* -1/3 (/ (* (- 3 x) (- x 1)) y)) (taylor 0 y) (#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 (* -1/3 (/ (* (- 3 x) (- x 1)) y)) (taylor 0 y) (#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 (* -1/3 (/ (* (- 3 x) (- x 1)) y)) (taylor 0 y) (#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 (* -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>) () ())) ()) |
#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 (* -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 #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) (patch #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) (patch #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) (patch #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) (patch #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (* 1/3 x) 4/3)) y) (taylor 0 y) (#s(alt #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x)) (patch #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (* 1/3 x) 4/3)) y) (taylor 0 y) (#s(alt #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x)) (patch #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (* 1/3 x) 4/3)) y) (taylor 0 y) (#s(alt #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x)) (patch #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (* 1/3 x) 4/3)) y) (taylor 0 y) (#s(alt #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x)) (patch #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -4/3 (/ x y)) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal -4/3 binary64) y) x) (patch (*.f64 (/.f64 #s(literal -4/3 binary64) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -4/3 (/ x y)) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal -4/3 binary64) y) x) (patch (*.f64 (/.f64 #s(literal -4/3 binary64) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -4/3 (/ x y)) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal -4/3 binary64) y) x) (patch (*.f64 (/.f64 #s(literal -4/3 binary64) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -4/3 (/ x y)) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal -4/3 binary64) y) x) (patch (*.f64 (/.f64 #s(literal -4/3 binary64) y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -4/3 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -4/3 binary64) y) (patch (/.f64 #s(literal -4/3 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ -4/3 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -4/3 binary64) y) (patch (/.f64 #s(literal -4/3 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ -4/3 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -4/3 binary64) y) (patch (/.f64 #s(literal -4/3 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ -4/3 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -4/3 binary64) y) (patch (/.f64 #s(literal -4/3 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) (*.f64 #s(literal 1/3 binary64) x)))) (patch #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) (*.f64 #s(literal 1/3 binary64) x)))) #<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 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) (*.f64 #s(literal 1/3 binary64) x)))) (patch #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) (*.f64 #s(literal 1/3 binary64) x)))) #<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 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) (*.f64 #s(literal 1/3 binary64) x)))) (patch #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) (*.f64 #s(literal 1/3 binary64) x)))) #<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 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) (*.f64 #s(literal 1/3 binary64) x)))) (patch #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) (*.f64 #s(literal 1/3 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (* 1/3 x) 4/3)) y) (taylor 0 y) (#s(alt (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) (*.f64 #s(literal 1/3 binary64) x))) (patch (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) (*.f64 #s(literal 1/3 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (* 1/3 x) 4/3)) y) (taylor 0 y) (#s(alt (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) (*.f64 #s(literal 1/3 binary64) x))) (patch (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) (*.f64 #s(literal 1/3 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (* 1/3 x) 4/3)) y) (taylor 0 y) (#s(alt (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) (*.f64 #s(literal 1/3 binary64) x))) (patch (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) (*.f64 #s(literal 1/3 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (* 1/3 x) 4/3)) y) (taylor 0 y) (#s(alt (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) (*.f64 #s(literal 1/3 binary64) x))) (patch (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) (*.f64 #s(literal 1/3 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 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 x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y))) (patch #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 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 x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y))) (patch #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 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 x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y))) (patch #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 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 x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y))) (patch #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (* 1/3 x) 4/3)) y) (taylor 0 y) (#s(alt (*.f64 x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y)) (patch (*.f64 x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (* 1/3 x) 4/3)) y) (taylor 0 y) (#s(alt (*.f64 x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y)) (patch (*.f64 x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (* 1/3 x) 4/3)) y) (taylor 0 y) (#s(alt (*.f64 x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y)) (patch (*.f64 x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (* 1/3 x) 4/3)) y) (taylor 0 y) (#s(alt (*.f64 x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y)) (patch (*.f64 x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* 1/3 x) 4/3) y) (taylor 0 y) (#s(alt (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) (patch (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* 1/3 x) 4/3) y) (taylor 0 y) (#s(alt (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) (patch (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* 1/3 x) 4/3) y) (taylor 0 y) (#s(alt (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) (patch (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* 1/3 x) 4/3) y) (taylor 0 y) (#s(alt (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) (patch (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y) (taylor 0 y) (#s(alt (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) (patch (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y) (taylor 0 y) (#s(alt (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) (patch (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y) (taylor 0 y) (#s(alt (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) (patch (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y) (taylor 0 y) (#s(alt (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) (patch (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt #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))) (patch #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))) #<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 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))) (patch #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))) #<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 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))) (patch #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))) #<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 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))) (patch #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))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1/3 (* -1/3 x)) y) (taylor 0 y) (#s(alt (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (patch (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1/3 (* -1/3 x)) y) (taylor 0 y) (#s(alt (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (patch (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1/3 (* -1/3 x)) y) (taylor 0 y) (#s(alt (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (patch (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- (* 4/3 (/ 1 x)) 1/3))) (taylor -inf x) (#s(alt #s(approx (+ (* x 1/3) -4/3) (*.f64 #s(literal 1/3 binary64) x)) (patch #s(approx (+ (* x 1/3) -4/3) (*.f64 #s(literal 1/3 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 4/3 (/ 1 x)) 1/3))) (taylor -inf x) (#s(alt #s(approx (+ (* x 1/3) -4/3) (*.f64 #s(literal 1/3 binary64) x)) (patch #s(approx (+ (* x 1/3) -4/3) (*.f64 #s(literal 1/3 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 4/3 (/ 1 x)) 1/3))) (taylor -inf x) (#s(alt #s(approx (+ (* x 1/3) -4/3) (*.f64 #s(literal 1/3 binary64) x)) (patch #s(approx (+ (* x 1/3) -4/3) (*.f64 #s(literal 1/3 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (pow x 2) y)) (taylor -inf x) (#s(alt #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y))) (patch #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) (taylor -inf x) (#s(alt #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y))) (patch #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 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 #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y))) (patch #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 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 #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y))) (patch #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (pow x 2) y)) (taylor -inf x) (#s(alt (*.f64 x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y)) (patch (*.f64 x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) (taylor -inf x) (#s(alt (*.f64 x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y)) (patch (*.f64 x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) (taylor -inf x) (#s(alt (*.f64 x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y)) (patch (*.f64 x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) (taylor -inf x) (#s(alt (*.f64 x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y)) (patch (*.f64 x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) (patch (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 4/3 (/ 1 (* x y))) (* 1/3 (/ 1 y))))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) (patch (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 4/3 (/ 1 (* x y))) (* 1/3 (/ 1 y))))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) (patch (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 4/3 (/ 1 (* x y))) (* 1/3 (/ 1 y))))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) (patch (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) (patch (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 4/3 (/ 1 x)) 1/3))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) (patch (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 4/3 (/ 1 x)) 1/3))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) (patch (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 4/3 (/ 1 x)) 1/3))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) (patch (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (pow x 2) y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) (patch (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) (patch (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) (patch (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) (patch (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (pow x 2) y)) (taylor -inf x) (#s(alt #s(approx (/ (* (- 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))) (patch #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))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) (taylor -inf x) (#s(alt #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))) (patch #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))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) (taylor -inf x) (#s(alt #s(approx (/ (* (- 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))) (patch #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))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) (taylor -inf x) (#s(alt #s(approx (/ (* (- 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))) (patch #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))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (patch (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 1/3 (/ 1 y)) (* 1/3 (/ 1 (* x y)))))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (patch (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 1/3 (/ 1 y)) (* 1/3 (/ 1 (* x y)))))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (patch (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 1/3 (/ 1 y)) (* 1/3 (/ 1 (* x y)))))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (patch (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) (patch (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1/3 (* 1/3 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) (patch (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1/3 (* 1/3 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) (patch (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1/3 (* 1/3 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) (patch (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 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>) () ())) ()) |
#s(alt (* 1/3 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/3 binary64) x) (patch (*.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/3 binary64) x) (patch (*.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/3 binary64) x) (patch (*.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/3 binary64) x) (patch (*.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 29.0ms | y | @ | inf | ((* (/ (- 3 x) (* y -3)) (+ -1 x)) (/ (- 3 x) (* y -3)) (- 3 x) (* y -3) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (/ x y) (+ (* x 1/3) -4/3)) (* (/ -4/3 y) x) (/ -4/3 y) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (/ x y) (+ (* x 1/3) -4/3)) (/ x y) (+ (* x 1/3) -4/3) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* x (/ (+ (* 1/3 x) -4/3) y)) (/ (+ (* 1/3 x) -4/3) y) (+ (* 1/3 x) -4/3) (* (/ (+ (* -1/3 x) 1/3) y) (- 3 x)) (/ (* (- 1 x) (- 3 x)) (* y 3)) (/ (+ (* -1/3 x) 1/3) y) (+ (* -1/3 x) 1/3) (+ -1 x) (* 1/3 x)) |
| 9.0ms | x | @ | 0 | ((* (/ (- 3 x) (* y -3)) (+ -1 x)) (/ (- 3 x) (* y -3)) (- 3 x) (* y -3) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (/ x y) (+ (* x 1/3) -4/3)) (* (/ -4/3 y) x) (/ -4/3 y) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (/ x y) (+ (* x 1/3) -4/3)) (/ x y) (+ (* x 1/3) -4/3) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* x (/ (+ (* 1/3 x) -4/3) y)) (/ (+ (* 1/3 x) -4/3) y) (+ (* 1/3 x) -4/3) (* (/ (+ (* -1/3 x) 1/3) y) (- 3 x)) (/ (* (- 1 x) (- 3 x)) (* y 3)) (/ (+ (* -1/3 x) 1/3) y) (+ (* -1/3 x) 1/3) (+ -1 x) (* 1/3 x)) |
| 4.0ms | y | @ | -inf | ((* (/ (- 3 x) (* y -3)) (+ -1 x)) (/ (- 3 x) (* y -3)) (- 3 x) (* y -3) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (/ x y) (+ (* x 1/3) -4/3)) (* (/ -4/3 y) x) (/ -4/3 y) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (/ x y) (+ (* x 1/3) -4/3)) (/ x y) (+ (* x 1/3) -4/3) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* x (/ (+ (* 1/3 x) -4/3) y)) (/ (+ (* 1/3 x) -4/3) y) (+ (* 1/3 x) -4/3) (* (/ (+ (* -1/3 x) 1/3) y) (- 3 x)) (/ (* (- 1 x) (- 3 x)) (* y 3)) (/ (+ (* -1/3 x) 1/3) y) (+ (* -1/3 x) 1/3) (+ -1 x) (* 1/3 x)) |
| 4.0ms | y | @ | 0 | ((* (/ (- 3 x) (* y -3)) (+ -1 x)) (/ (- 3 x) (* y -3)) (- 3 x) (* y -3) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (/ x y) (+ (* x 1/3) -4/3)) (* (/ -4/3 y) x) (/ -4/3 y) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (/ x y) (+ (* x 1/3) -4/3)) (/ x y) (+ (* x 1/3) -4/3) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* x (/ (+ (* 1/3 x) -4/3) y)) (/ (+ (* 1/3 x) -4/3) y) (+ (* 1/3 x) -4/3) (* (/ (+ (* -1/3 x) 1/3) y) (- 3 x)) (/ (* (- 1 x) (- 3 x)) (* y 3)) (/ (+ (* -1/3 x) 1/3) y) (+ (* -1/3 x) 1/3) (+ -1 x) (* 1/3 x)) |
| 3.0ms | x | @ | -inf | ((* (/ (- 3 x) (* y -3)) (+ -1 x)) (/ (- 3 x) (* y -3)) (- 3 x) (* y -3) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (/ x y) (+ (* x 1/3) -4/3)) (* (/ -4/3 y) x) (/ -4/3 y) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (/ x y) (+ (* x 1/3) -4/3)) (/ x y) (+ (* x 1/3) -4/3) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* x (/ (+ (* 1/3 x) -4/3) y)) (/ (+ (* 1/3 x) -4/3) y) (+ (* 1/3 x) -4/3) (* (/ (+ (* -1/3 x) 1/3) y) (- 3 x)) (/ (* (- 1 x) (- 3 x)) (* y 3)) (/ (+ (* -1/3 x) 1/3) y) (+ (* -1/3 x) 1/3) (+ -1 x) (* 1/3 x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 109 | 3146 |
| 1 | 290 | 3146 |
| 2 | 766 | 3146 |
| 3 | 2030 | 3146 |
| 4 | 6133 | 3146 |
| 0 | 8230 | 2831 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -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)) |
(* -1/3 (/ (- 3 x) y)) |
(* -1/3 (/ (- 3 x) y)) |
(* -1/3 (/ (- 3 x) y)) |
(* -1/3 (/ (- 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)) |
(/ (* 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)) |
(/ (* 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)) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(/ (- (* 1/3 x) 4/3) y) |
(/ (- (* 1/3 x) 4/3) y) |
(/ (- (* 1/3 x) 4/3) y) |
(/ (- (* 1/3 x) 4/3) y) |
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y) |
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y) |
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y) |
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/ (+ 1/3 (* -1/3 x)) y) |
(/ (+ 1/3 (* -1/3 x)) y) |
(/ (+ 1/3 (* -1/3 x)) y) |
(/ (+ 1/3 (* -1/3 x)) y) |
(* -1/3 (/ (* (- 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)) |
(* -1/3 (/ (- 3 x) y)) |
(* -1/3 (/ (- 3 x) y)) |
(* -1/3 (/ (- 3 x) y)) |
(* -1/3 (/ (- 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)) |
(/ (* 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)) |
(/ (* 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)) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(/ (- (* 1/3 x) 4/3) y) |
(/ (- (* 1/3 x) 4/3) y) |
(/ (- (* 1/3 x) 4/3) y) |
(/ (- (* 1/3 x) 4/3) y) |
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y) |
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y) |
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y) |
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/ (+ 1/3 (* -1/3 x)) y) |
(/ (+ 1/3 (* -1/3 x)) y) |
(/ (+ 1/3 (* -1/3 x)) y) |
(/ (+ 1/3 (* -1/3 x)) y) |
(* -1/3 (/ (* (- 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)) |
(* -1/3 (/ (- 3 x) y)) |
(* -1/3 (/ (- 3 x) y)) |
(* -1/3 (/ (- 3 x) y)) |
(* -1/3 (/ (- 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)) |
(/ (* 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)) |
(/ (* 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)) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(/ (- (* 1/3 x) 4/3) y) |
(/ (- (* 1/3 x) 4/3) y) |
(/ (- (* 1/3 x) 4/3) y) |
(/ (- (* 1/3 x) 4/3) y) |
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y) |
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y) |
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y) |
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/ (+ 1/3 (* -1/3 x)) y) |
(/ (+ 1/3 (* -1/3 x)) y) |
(/ (+ 1/3 (* -1/3 x)) y) |
(/ (+ 1/3 (* -1/3 x)) y) |
(/ 1 y) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(/ -1 y) |
(- (* 1/3 (/ x y)) (/ 1 y)) |
(- (* 1/3 (/ x y)) (/ 1 y)) |
(- (* 1/3 (/ x 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)) |
(* -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)) |
(* -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 y) |
(- (* 1/3 (/ x y)) (* 4/3 (/ 1 y))) |
(- (* 1/3 (/ x y)) (* 4/3 (/ 1 y))) |
(- (* 1/3 (/ x y)) (* 4/3 (/ 1 y))) |
-4/3 |
(- (* 1/3 x) 4/3) |
(- (* 1/3 x) 4/3) |
(- (* 1/3 x) 4/3) |
(/ 1 y) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(/ 1 y) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(/ 1/3 y) |
(+ (* -1/3 (/ x y)) (* 1/3 (/ 1 y))) |
(+ (* -1/3 (/ x y)) (* 1/3 (/ 1 y))) |
(+ (* -1/3 (/ x y)) (* 1/3 (/ 1 y))) |
1/3 |
(+ 1/3 (* -1/3 x)) |
(+ 1/3 (* -1/3 x)) |
(+ 1/3 (* -1/3 x)) |
-1 |
(- x 1) |
(- x 1) |
(- x 1) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* 1/3 (/ 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 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)) |
(* (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)))) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* 1/3 (/ x y)) |
(* x (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* x (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* x (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* 1/3 x) |
(* x (- 1/3 (* 4/3 (/ 1 x)))) |
(* x (- 1/3 (* 4/3 (/ 1 x)))) |
(* x (- 1/3 (* 4/3 (/ 1 x)))) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* -1/3 (/ x y)) |
(* x (- (* 1/3 (/ 1 (* x y))) (* 1/3 (/ 1 y)))) |
(* x (- (* 1/3 (/ 1 (* x y))) (* 1/3 (/ 1 y)))) |
(* x (- (* 1/3 (/ 1 (* x y))) (* 1/3 (/ 1 y)))) |
(* -1/3 x) |
(* x (- (* 1/3 (/ 1 x)) 1/3)) |
(* x (- (* 1/3 (/ 1 x)) 1/3)) |
(* x (- (* 1/3 (/ 1 x)) 1/3)) |
x |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 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 (/ 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 x) |
(* -1 (* x (- 1 (* 3 (/ 1 x))))) |
(* -1 (* x (- 1 (* 3 (/ 1 x))))) |
(* -1 (* x (- 1 (* 3 (/ 1 x))))) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (* 1/3 (/ 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)))) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* 1/3 (/ x y)) |
(* -1 (* x (- (* 4/3 (/ 1 (* x y))) (* 1/3 (/ 1 y))))) |
(* -1 (* x (- (* 4/3 (/ 1 (* x y))) (* 1/3 (/ 1 y))))) |
(* -1 (* x (- (* 4/3 (/ 1 (* x y))) (* 1/3 (/ 1 y))))) |
(* 1/3 x) |
(* -1 (* x (- (* 4/3 (/ 1 x)) 1/3))) |
(* -1 (* x (- (* 4/3 (/ 1 x)) 1/3))) |
(* -1 (* x (- (* 4/3 (/ 1 x)) 1/3))) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* -1/3 (/ x y)) |
(* -1 (* x (- (* 1/3 (/ 1 y)) (* 1/3 (/ 1 (* x y)))))) |
(* -1 (* x (- (* 1/3 (/ 1 y)) (* 1/3 (/ 1 (* x y)))))) |
(* -1 (* x (- (* 1/3 (/ 1 y)) (* 1/3 (/ 1 (* x y)))))) |
(* -1/3 x) |
(* -1 (* x (- 1/3 (* 1/3 (/ 1 x))))) |
(* -1 (* x (- 1/3 (* 1/3 (/ 1 x))))) |
(* -1 (* x (- 1/3 (* 1/3 (/ 1 x))))) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
| Outputs |
|---|
(* -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)) |
(* -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) |
(* -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)) x) y) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x) y) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x) y) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x) y) |
(* -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)) |
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(*.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)) x) 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) (- (+ (* 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)) x) 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) (- (+ (* 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 (/ x y)) |
(*.f64 (/.f64 #s(literal -1/3 binary64) y) x) |
(* x (- (* 1/3 (/ 1 (* x y))) (* 1/3 (/ 1 y)))) |
(/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) y) |
(* x (- (* 1/3 (/ 1 (* x y))) (* 1/3 (/ 1 y)))) |
(/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) y) |
(* x (- (* 1/3 (/ 1 (* x y))) (* 1/3 (/ 1 y)))) |
(/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) y) |
(* -1/3 x) |
(*.f64 x #s(literal -1/3 binary64)) |
(* x (- (* 1/3 (/ 1 x)) 1/3)) |
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) |
(* x (- (* 1/3 (/ 1 x)) 1/3)) |
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) |
(* x (- (* 1/3 (/ 1 x)) 1/3)) |
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 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) |
(*.f64 #s(literal 1/3 binary64) x) |
(* 1/3 x) |
(*.f64 #s(literal 1/3 binary64) x) |
(* 1/3 x) |
(*.f64 #s(literal 1/3 binary64) x) |
(* 1/3 x) |
(*.f64 #s(literal 1/3 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)) 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)) |
(* 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 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)) 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)) |
(* 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)) x) y) |
(* (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)) x) y) |
(* (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)) x) y) |
(* -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)) 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)) |
(* 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)) x) y) |
(* (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)) x) y) |
(* (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)) x) y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(* 1/3 x) |
(*.f64 #s(literal 1/3 binary64) x) |
(* -1 (* x (- (* 4/3 (/ 1 x)) 1/3))) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) |
(* -1 (* x (- (* 4/3 (/ 1 x)) 1/3))) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) |
(* -1 (* x (- (* 4/3 (/ 1 x)) 1/3))) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(/.f64 (*.f64 (fma.f64 #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)) |
(* 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)) x) y) |
(* (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)) x) y) |
(* (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)) x) y) |
(* 1/3 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 1/3 binary64)) |
(* -1 (* x (- (* 4/3 (/ 1 (* x y))) (* 1/3 (/ 1 y))))) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) |
(* -1 (* x (- (* 4/3 (/ 1 (* x y))) (* 1/3 (/ 1 y))))) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) |
(* -1 (* x (- (* 4/3 (/ 1 (* x y))) (* 1/3 (/ 1 y))))) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) |
(* 1/3 x) |
(*.f64 #s(literal 1/3 binary64) x) |
(* -1 (* x (- (* 4/3 (/ 1 x)) 1/3))) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) |
(* -1 (* x (- (* 4/3 (/ 1 x)) 1/3))) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) |
(* -1 (* x (- (* 4/3 (/ 1 x)) 1/3))) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(/.f64 (*.f64 (fma.f64 #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)) |
(* 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)) 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)) |
(* -1/3 (/ x y)) |
(*.f64 (/.f64 #s(literal -1/3 binary64) y) x) |
(* -1 (* x (- (* 1/3 (/ 1 y)) (* 1/3 (/ 1 (* x y)))))) |
(/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) y) |
(* -1 (* x (- (* 1/3 (/ 1 y)) (* 1/3 (/ 1 (* x y)))))) |
(/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) y) |
(* -1 (* x (- (* 1/3 (/ 1 y)) (* 1/3 (/ 1 (* x y)))))) |
(/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) y) |
(* -1/3 x) |
(*.f64 x #s(literal -1/3 binary64)) |
(* -1 (* x (- 1/3 (* 1/3 (/ 1 x))))) |
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) |
(* -1 (* x (- 1/3 (* 1/3 (/ 1 x))))) |
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) |
(* -1 (* x (- 1/3 (* 1/3 (/ 1 x))))) |
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 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)) |
(* 1/3 x) |
(*.f64 #s(literal 1/3 binary64) x) |
(* 1/3 x) |
(*.f64 #s(literal 1/3 binary64) x) |
(* 1/3 x) |
(*.f64 #s(literal 1/3 binary64) x) |
(* 1/3 x) |
(*.f64 #s(literal 1/3 binary64) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 210 |
| 0 | 57 | 205 |
| 1 | 226 | 205 |
| 2 | 1633 | 205 |
| 0 | 8199 | 205 |
| 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) |
(*.f64 y #s(literal -3 binary64)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 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 x y) #s(approx (+ (* x 1/3) -4/3) (*.f64 #s(literal 1/3 binary64) x)))) |
(*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) (*.f64 #s(literal 1/3 binary64) x))) |
(/.f64 x y) |
#s(approx (+ (* x 1/3) -4/3) (*.f64 #s(literal 1/3 binary64) x)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y))) |
(*.f64 x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y)) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
#s(approx (/ (* (- 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))) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) |
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) |
(+.f64 #s(literal -1 binary64) x) |
(*.f64 #s(literal 1/3 binary64) x) |
| Outputs |
|---|
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Compiled 31 623 to 4 383 computations (86.1% saved)
18 alts after pruning (13 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 780 | 5 | 1 785 |
| Fresh | 0 | 8 | 8 |
| Picked | 4 | 1 | 5 |
| Done | 1 | 4 | 5 |
| Total | 1 785 | 18 | 1 803 |
| Status | Accuracy | Program |
|---|---|---|
| 50.1% | (/.f64 (-.f64 #s(literal 3 binary64) x) #s(approx (* (/ y (- 1 x)) 3) (*.f64 (/.f64 y x) #s(literal -3 binary64)))) | |
| 53.1% | (/.f64 #s(approx (- 3 x) #s(literal 3 binary64)) #s(approx (* (/ y (- 1 x)) 3) (*.f64 y #s(literal 3 binary64)))) | |
| 95.3% | (/.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))) | |
| 61.2% | (/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) | |
| ✓ | 45.7% | (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) |
| 50.1% | (*.f64 (/.f64 #s(approx (- 3 x) (neg.f64 x)) (*.f64 y #s(literal -3 binary64))) (+.f64 #s(literal -1 binary64) x)) | |
| 61.2% | (*.f64 #s(approx (/ (- 3 x) (* y -3)) (/.f64 #s(literal -1 binary64) y)) (+.f64 #s(literal -1 binary64) x)) | |
| ✓ | 53.0% | (*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (/.f64 #s(literal 3 binary64) y)) #s(literal 1/3 binary64)) |
| 49.9% | (*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) x)) #s(literal 1/3 binary64)) | |
| 50.1% | #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)) | |
| ✓ | 53.3% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
| ✓ | 99.6% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))) |
| ✓ | 50.4% | #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)))) |
| 50.4% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (+.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal -4/3 binary64)))) | |
| 12.7% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) #s(literal -4/3 binary64)))) | |
| 50.1% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 x (/.f64 #s(approx (+ (* x 1/3) -4/3) (*.f64 #s(literal 1/3 binary64) x)) y))) | |
| 12.7% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (/.f64 (*.f64 #s(literal -4/3 binary64) x) y))) | |
| 12.7% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (/.f64 x (*.f64 y #s(literal -3/4 binary64))))) |
Compiled 444 to 257 computations (42.1% saved)
| Inputs |
|---|
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 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)) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (/.f64 x (*.f64 y #s(literal -3/4 binary64))))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (/.f64 (*.f64 #s(literal -4/3 binary64) x) y))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) #s(literal -4/3 binary64)))) |
(*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (/.f64 #s(literal 3 binary64) y)) #s(literal 1/3 binary64)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) |
(/.f64 #s(approx (- 3 x) #s(literal 3 binary64)) #s(approx (* (/ y (- 1 x)) 3) (*.f64 y #s(literal 3 binary64)))) |
(*.f64 #s(approx (/ (- 3 x) (* y -3)) (/.f64 #s(literal -1 binary64) y)) (+.f64 #s(literal -1 binary64) x)) |
(/.f64 (-.f64 #s(literal 3 binary64) x) #s(approx (* (/ y (- 1 x)) 3) (*.f64 y #s(literal 3 binary64)))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 x (/.f64 #s(approx (+ (* x 1/3) -4/3) (*.f64 #s(literal 1/3 binary64) x)) y))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) (*.f64 #s(literal 1/3 binary64) x)))) |
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)) |
(*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) x)) #s(literal 1/3 binary64)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 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)))) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (+.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal -4/3 binary64)))) |
(*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) (-.f64 x #s(literal 4 binary64)))) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) y) #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x))) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.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))) |
(/.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 #s(approx (- 3 x) (neg.f64 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)) |
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 y #s(literal -3 binary64))) (+.f64 #s(literal -1 binary64) x)) |
(/.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 #s(literal 3 binary64) x) #s(approx (* (/ y (- 1 x)) 3) (*.f64 (/.f64 y x) #s(literal -3 binary64)))) |
(/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 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:
| 12.0ms | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| 11.0ms | (*.f64 y #s(literal 3 binary64)) |
| 11.0ms | y |
| 11.0ms | x |
| 9.0ms | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 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 (/ (* (- 1 x) (- 3 x)) (* y 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)) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (/.f64 x (*.f64 y #s(literal -3/4 binary64))))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (/.f64 (*.f64 #s(literal -4/3 binary64) x) y))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) #s(literal -4/3 binary64)))) |
(*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (/.f64 #s(literal 3 binary64) y)) #s(literal 1/3 binary64)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) |
(/.f64 #s(approx (- 3 x) #s(literal 3 binary64)) #s(approx (* (/ y (- 1 x)) 3) (*.f64 y #s(literal 3 binary64)))) |
(*.f64 #s(approx (/ (- 3 x) (* y -3)) (/.f64 #s(literal -1 binary64) y)) (+.f64 #s(literal -1 binary64) x)) |
(/.f64 (-.f64 #s(literal 3 binary64) x) #s(approx (* (/ y (- 1 x)) 3) (*.f64 y #s(literal 3 binary64)))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 x (/.f64 #s(approx (+ (* x 1/3) -4/3) (*.f64 #s(literal 1/3 binary64) x)) y))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) (*.f64 #s(literal 1/3 binary64) x)))) |
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)) |
(*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) x)) #s(literal 1/3 binary64)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 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)))) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (+.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal -4/3 binary64)))) |
(*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) (-.f64 x #s(literal 4 binary64)))) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) y) #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x))) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.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))) |
(/.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 #s(approx (- 3 x) (neg.f64 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)) |
| 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:
| 12.0ms | y |
| 8.0ms | (*.f64 y #s(literal 3 binary64)) |
| 8.0ms | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 8.0ms | x |
| 8.0ms | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | x |
| 99.6% | 1 | y |
| 99.6% | 1 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 99.6% | 1 | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| 99.6% | 1 | (*.f64 y #s(literal 3 binary64)) |
Compiled 23 to 24 computations (-4.3% saved)
| Inputs |
|---|
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #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)) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (/.f64 x (*.f64 y #s(literal -3/4 binary64))))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (/.f64 (*.f64 #s(literal -4/3 binary64) x) y))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) #s(literal -4/3 binary64)))) |
(*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (/.f64 #s(literal 3 binary64) y)) #s(literal 1/3 binary64)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) |
(/.f64 #s(approx (- 3 x) #s(literal 3 binary64)) #s(approx (* (/ y (- 1 x)) 3) (*.f64 y #s(literal 3 binary64)))) |
(*.f64 #s(approx (/ (- 3 x) (* y -3)) (/.f64 #s(literal -1 binary64) y)) (+.f64 #s(literal -1 binary64) x)) |
(/.f64 (-.f64 #s(literal 3 binary64) x) #s(approx (* (/ y (- 1 x)) 3) (*.f64 y #s(literal 3 binary64)))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 x (/.f64 #s(approx (+ (* x 1/3) -4/3) (*.f64 #s(literal 1/3 binary64) x)) y))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) (*.f64 #s(literal 1/3 binary64) x)))) |
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)) |
(*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) x)) #s(literal 1/3 binary64)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 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)))) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (+.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal -4/3 binary64)))) |
(*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) (-.f64 x #s(literal 4 binary64)))) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) y) #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x))) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64))) |
| Outputs |
|---|
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) |
5 calls:
| 9.0ms | y |
| 8.0ms | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| 7.0ms | (*.f64 y #s(literal 3 binary64)) |
| 7.0ms | x |
| 7.0ms | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 3 | x |
| 67.7% | 4 | y |
| 83.3% | 2 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 98.8% | 2 | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| 67.7% | 4 | (*.f64 y #s(literal 3 binary64)) |
Compiled 23 to 24 computations (-4.3% saved)
| Inputs |
|---|
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #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)) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (/.f64 x (*.f64 y #s(literal -3/4 binary64))))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (/.f64 (*.f64 #s(literal -4/3 binary64) x) y))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) #s(literal -4/3 binary64)))) |
(*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (/.f64 #s(literal 3 binary64) y)) #s(literal 1/3 binary64)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) |
(/.f64 #s(approx (- 3 x) #s(literal 3 binary64)) #s(approx (* (/ y (- 1 x)) 3) (*.f64 y #s(literal 3 binary64)))) |
(*.f64 #s(approx (/ (- 3 x) (* y -3)) (/.f64 #s(literal -1 binary64) y)) (+.f64 #s(literal -1 binary64) x)) |
(/.f64 (-.f64 #s(literal 3 binary64) x) #s(approx (* (/ y (- 1 x)) 3) (*.f64 y #s(literal 3 binary64)))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 x (/.f64 #s(approx (+ (* x 1/3) -4/3) (*.f64 #s(literal 1/3 binary64) x)) y))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) (*.f64 #s(literal 1/3 binary64) x)))) |
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)) |
(*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) x)) #s(literal 1/3 binary64)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 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 (/ (- 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 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) |
1 calls:
| 5.0ms | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 2 | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
Compiled 7 to 7 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #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)) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (/.f64 x (*.f64 y #s(literal -3/4 binary64))))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (/.f64 (*.f64 #s(literal -4/3 binary64) x) y))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) #s(literal -4/3 binary64)))) |
(*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (/.f64 #s(literal 3 binary64) y)) #s(literal 1/3 binary64)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) |
(/.f64 #s(approx (- 3 x) #s(literal 3 binary64)) #s(approx (* (/ y (- 1 x)) 3) (*.f64 y #s(literal 3 binary64)))) |
(*.f64 #s(approx (/ (- 3 x) (* y -3)) (/.f64 #s(literal -1 binary64) y)) (+.f64 #s(literal -1 binary64) x)) |
(/.f64 (-.f64 #s(literal 3 binary64) x) #s(approx (* (/ y (- 1 x)) 3) (*.f64 y #s(literal 3 binary64)))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 x (/.f64 #s(approx (+ (* x 1/3) -4/3) (*.f64 #s(literal 1/3 binary64) x)) y))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) (*.f64 #s(literal 1/3 binary64) x)))) |
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)) |
(*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) x)) #s(literal 1/3 binary64)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y))) |
| Outputs |
|---|
(*.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 x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y))) |
1 calls:
| 6.0ms | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 2 | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
Compiled 7 to 7 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #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)) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (/.f64 x (*.f64 y #s(literal -3/4 binary64))))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (/.f64 (*.f64 #s(literal -4/3 binary64) x) y))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) #s(literal -4/3 binary64)))) |
(*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (/.f64 #s(literal 3 binary64) y)) #s(literal 1/3 binary64)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) |
(/.f64 #s(approx (- 3 x) #s(literal 3 binary64)) #s(approx (* (/ y (- 1 x)) 3) (*.f64 y #s(literal 3 binary64)))) |
(*.f64 #s(approx (/ (- 3 x) (* y -3)) (/.f64 #s(literal -1 binary64) y)) (+.f64 #s(literal -1 binary64) x)) |
(/.f64 (-.f64 #s(literal 3 binary64) x) #s(approx (* (/ y (- 1 x)) 3) (*.f64 y #s(literal 3 binary64)))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 x (/.f64 #s(approx (+ (* x 1/3) -4/3) (*.f64 #s(literal 1/3 binary64) x)) y))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) (*.f64 #s(literal 1/3 binary64) x)))) |
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)) |
(*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) x)) #s(literal 1/3 binary64)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) |
| Outputs |
|---|
(*.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)) |
1 calls:
| 4.0ms | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 2 | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
Compiled 7 to 7 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #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)) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (/.f64 x (*.f64 y #s(literal -3/4 binary64))))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (/.f64 (*.f64 #s(literal -4/3 binary64) x) y))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) #s(literal -4/3 binary64)))) |
(*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (/.f64 #s(literal 3 binary64) y)) #s(literal 1/3 binary64)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) |
(/.f64 #s(approx (- 3 x) #s(literal 3 binary64)) #s(approx (* (/ y (- 1 x)) 3) (*.f64 y #s(literal 3 binary64)))) |
(*.f64 #s(approx (/ (- 3 x) (* y -3)) (/.f64 #s(literal -1 binary64) y)) (+.f64 #s(literal -1 binary64) x)) |
(/.f64 (-.f64 #s(literal 3 binary64) x) #s(approx (* (/ y (- 1 x)) 3) (*.f64 y #s(literal 3 binary64)))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 x (/.f64 #s(approx (+ (* x 1/3) -4/3) (*.f64 #s(literal 1/3 binary64) x)) y))) |
| Outputs |
|---|
(*.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 x (/.f64 #s(approx (+ (* x 1/3) -4/3) (*.f64 #s(literal 1/3 binary64) x)) y))) |
1 calls:
| 3.0ms | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 2 | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
Compiled 7 to 7 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #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)) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (/.f64 x (*.f64 y #s(literal -3/4 binary64))))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (/.f64 (*.f64 #s(literal -4/3 binary64) x) y))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) #s(literal -4/3 binary64)))) |
(*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (/.f64 #s(literal 3 binary64) y)) #s(literal 1/3 binary64)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) |
(/.f64 #s(approx (- 3 x) #s(literal 3 binary64)) #s(approx (* (/ y (- 1 x)) 3) (*.f64 y #s(literal 3 binary64)))) |
(*.f64 #s(approx (/ (- 3 x) (* y -3)) (/.f64 #s(literal -1 binary64) y)) (+.f64 #s(literal -1 binary64) x)) |
(/.f64 (-.f64 #s(literal 3 binary64) x) #s(approx (* (/ y (- 1 x)) 3) (*.f64 y #s(literal 3 binary64)))) |
| Outputs |
|---|
(*.f64 #s(approx (/ (- 3 x) (* y -3)) (/.f64 #s(literal -1 binary64) y)) (+.f64 #s(literal -1 binary64) x)) |
5 calls:
| 9.0ms | x |
| 4.0ms | (*.f64 y #s(literal 3 binary64)) |
| 4.0ms | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 4.0ms | y |
| 3.0ms | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.2% | 1 | y |
| 61.2% | 1 | (*.f64 y #s(literal 3 binary64)) |
| 61.2% | 1 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 61.2% | 1 | x |
| 61.2% | 1 | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
Compiled 23 to 24 computations (-4.3% saved)
| Inputs |
|---|
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #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)) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (/.f64 x (*.f64 y #s(literal -3/4 binary64))))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (/.f64 (*.f64 #s(literal -4/3 binary64) x) y))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) #s(literal -4/3 binary64)))) |
(*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (/.f64 #s(literal 3 binary64) y)) #s(literal 1/3 binary64)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) |
(/.f64 #s(approx (- 3 x) #s(literal 3 binary64)) #s(approx (* (/ y (- 1 x)) 3) (*.f64 y #s(literal 3 binary64)))) |
| Outputs |
|---|
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
5 calls:
| 5.0ms | x |
| 3.0ms | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 3.0ms | (*.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 |
|---|---|---|
| 53.3% | 1 | y |
| 53.3% | 1 | (*.f64 y #s(literal 3 binary64)) |
| 61.3% | 2 | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| 62.0% | 2 | x |
| 61.2% | 2 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
Compiled 23 to 24 computations (-4.3% saved)
Total -0.0b 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 |
|---|---|---|
| 53.3% | 1 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 53.3% | 1 | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| 53.3% | 1 | x |
Compiled 19 to 18 computations (5.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 6.9768137490307565 | 3088.588221367979 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.9768137490307565 | 3088.588221367979 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.9768137490307565 | 3088.588221367979 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.9768137490307565 | 3088.588221367979 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.9768137490307565 | 3088.588221367979 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 7.0ms | -0.8243253617511486 | -0.22085721905161368 |
| 4.0ms | 80× | 0 | valid |
Compiled 69 to 84 computations (-21.7% saved)
ival-sub: 1.0ms (44.3% of total)ival-mult: 1.0ms (44.3% of total)ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 339 |
| 1 | 91 | 339 |
| 2 | 95 | 339 |
| 3 | 97 | 339 |
| 4 | 98 | 339 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 y #s(literal -3 binary64))) (+.f64 #s(literal -1 binary64) x)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 10 binary64)) (/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) #s(approx (/ (* (- 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 10 binary64)) (*.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 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 10 binary64)) (*.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 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 10 binary64)) (*.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))) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 10 binary64)) (*.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 x (/.f64 #s(approx (+ (* x 1/3) -4/3) (*.f64 #s(literal 1/3 binary64) x)) y)))) |
(*.f64 #s(approx (/ (- 3 x) (* y -3)) (/.f64 #s(literal -1 binary64) y)) (+.f64 #s(literal -1 binary64) x)) |
(if (<=.f64 x #s(literal -3/4 binary64)) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 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))) |
#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 10 binary64)) (/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) #s(approx (/ (* (- 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 10 binary64)) (/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) #s(approx (/ (* (- 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 10 binary64)) (*.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 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 10 binary64)) (*.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 (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 10 binary64)) (*.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 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 10 binary64)) (*.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 (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 10 binary64)) (*.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))) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 10 binary64)) (*.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 x (/.f64 #s(approx (+ (* x 1/3) -4/3) (*.f64 #s(literal 1/3 binary64) x)) y)))) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 10 binary64)) (*.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 #s(approx (+ (* x 1/3) -4/3) (*.f64 #s(literal 1/3 binary64) x)) y) x))) |
(*.f64 #s(approx (/ (- 3 x) (* y -3)) (/.f64 #s(literal -1 binary64) y)) (+.f64 #s(literal -1 binary64) x)) |
(if (<=.f64 x #s(literal -3/4 binary64)) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 210 |
| 0 | 57 | 205 |
| 1 | 226 | 205 |
| 2 | 1633 | 205 |
| 0 | 8199 | 205 |
| 0 | 152 | 2926 |
| 1 | 438 | 2850 |
| 2 | 1189 | 2826 |
| 3 | 3256 | 2762 |
| 0 | 8775 | 2565 |
| 0 | 9 | 27 |
| 0 | 14 | 27 |
| 1 | 59 | 27 |
| 2 | 433 | 27 |
| 3 | 7340 | 27 |
| 0 | 8063 | 27 |
| 0 | 78 | 446 |
| 1 | 216 | 446 |
| 2 | 543 | 446 |
| 3 | 1551 | 418 |
| 4 | 4034 | 418 |
| 5 | 7654 | 418 |
| 0 | 8499 | 384 |
| 0 | 37 | 170 |
| 0 | 55 | 170 |
| 1 | 199 | 168 |
| 2 | 1499 | 168 |
| 0 | 8477 | 168 |
| 0 | 109 | 3146 |
| 1 | 290 | 3146 |
| 2 | 766 | 3146 |
| 3 | 2030 | 3146 |
| 4 | 6133 | 3146 |
| 0 | 8230 | 2831 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 544 to 330 computations (39.3% saved)
(negabs y)
Compiled 456 to 196 computations (57% saved)
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