
Time bar (total: 6.9s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 11 to 11 computations (0% saved)
| 1.1s | 8 256× | 0 | valid |
ival-mult: 432.0ms (68.1% of total)ival-div: 104.0ms (16.4% of total)ival-sub: 77.0ms (12.1% of total)exact: 12.0ms (1.9% of total)ival-true: 6.0ms (0.9% of total)ival-assert: 3.0ms (0.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 16 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 116 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
| 0 | 0 | - | 0 | - | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 38.0ms | 474× | 0 | valid |
| 4.0ms | 24× | 1 | valid |
| 3.0ms | 14× | 2 | valid |
Compiled 71 to 31 computations (56.3% saved)
ival-mult: 10.0ms (42.3% of total)ival-div: 7.0ms (29.6% of total)ival-sub: 4.0ms (16.9% of total)adjust: 1.0ms (4.2% of total)ival-true: 1.0ms (4.2% of total)exact: 1.0ms (4.2% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 41 |
| 1 | 56 | 37 |
| 2 | 160 | 35 |
| 3 | 528 | 35 |
| 4 | 1538 | 35 |
| 5 | 1779 | 35 |
| 6 | 2006 | 35 |
| 7 | 2103 | 35 |
| 8 | 2137 | 35 |
| 9 | 2149 | 35 |
| 0 | 9 | 7 |
| 0 | 14 | 7 |
| 1 | 21 | 7 |
| 2 | 36 | 7 |
| 3 | 66 | 7 |
| 4 | 88 | 7 |
| 0 | 88 | 6 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) |
(negabs y)
Compiled 9 to 9 computations (0% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.7% | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
Compiled 9 to 9 computations (0% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) | |
| cost-diff | 0 | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) | |
| cost-diff | 128 | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) | |
| cost-diff | 704 | (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 21 |
| 0 | 14 | 21 |
| 1 | 21 | 21 |
| 2 | 36 | 21 |
| 3 | 66 | 21 |
| 4 | 88 | 21 |
| 0 | 88 | 19 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
x |
(/.f64 #s(literal 16 binary64) #s(literal 116 binary64)) |
#s(literal 16 binary64) |
#s(literal 116 binary64) |
#s(literal 3 binary64) |
y |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) |
(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) |
(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
(-.f64 x #s(literal 4/29 binary64)) |
x |
(/.f64 #s(literal 16 binary64) #s(literal 116 binary64)) |
#s(literal 4/29 binary64) |
#s(literal 16 binary64) |
#s(literal 116 binary64) |
#s(literal 3 binary64) |
y |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)) | |
| accuracy | 0 | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) | |
| accuracy | 0.109375 | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) | |
| accuracy | 0.171875 | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
| 13.0ms | 237× | 0 | valid |
| 1.0ms | 12× | 1 | valid |
| 1.0ms | 7× | 2 | valid |
Compiled 31 to 11 computations (64.5% saved)
ival-mult: 3.0ms (37.7% of total)ival-div: 2.0ms (25.1% of total)ival-sub: 1.0ms (12.6% of total)adjust: 0.0ms (0% 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 #s(literal 16 binary64) #s(literal 116 binary64)) (patch (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) (patch (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ()) |
#s(alt (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) (patch (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor -inf y) (#s(alt (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor -inf y) (#s(alt (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor -inf y) (#s(alt (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor -inf y) (#s(alt (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt -12/29 (taylor 0 x) (#s(alt (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) (patch (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 3 x) 12/29) (taylor 0 x) (#s(alt (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) (patch (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 3 x) 12/29) (taylor 0 x) (#s(alt (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) (patch (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 3 x) 12/29) (taylor 0 x) (#s(alt (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) (patch (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -12/29 y) (taylor 0 x) (#s(alt (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -12/29 y) (* 3 (* x y))) (taylor 0 x) (#s(alt (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -12/29 y) (* 3 (* x y))) (taylor 0 x) (#s(alt (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -12/29 y) (* 3 (* x y))) (taylor 0 x) (#s(alt (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt -4/29 (taylor 0 x) (#s(alt (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) (patch (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- x 4/29) (taylor 0 x) (#s(alt (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) (patch (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- x 4/29) (taylor 0 x) (#s(alt (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) (patch (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- x 4/29) (taylor 0 x) (#s(alt (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) (patch (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 x) (taylor inf x) (#s(alt (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) (patch (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 3 (* 12/29 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) (patch (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 3 (* 12/29 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) (patch (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 3 (* 12/29 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) (patch (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -12/29 (/ y x)) (* 3 y))) (taylor inf x) (#s(alt (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -12/29 (/ y x)) (* 3 y))) (taylor inf x) (#s(alt (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -12/29 (/ y x)) (* 3 y))) (taylor inf x) (#s(alt (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) (patch (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) (patch (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) (patch (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) (patch (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 x) (taylor -inf x) (#s(alt (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) (patch (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) (patch (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) (patch (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) (patch (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) (patch (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) (patch (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) (patch (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) (patch (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 20.0ms | y | @ | 0 | ((/ 16 116) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (- x (/ 16 116))) |
| 1.0ms | x | @ | 0 | ((/ 16 116) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (- x (/ 16 116))) |
| 1.0ms | y | @ | inf | ((/ 16 116) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (- x (/ 16 116))) |
| 1.0ms | x | @ | inf | ((/ 16 116) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (- x (/ 16 116))) |
| 1.0ms | x | @ | -inf | ((/ 16 116) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (- x (/ 16 116))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 242 |
| 1 | 112 | 242 |
| 2 | 290 | 242 |
| 3 | 614 | 242 |
| 4 | 1570 | 242 |
| 5 | 2670 | 242 |
| 6 | 3756 | 242 |
| 7 | 4250 | 242 |
| 8 | 4425 | 242 |
| 9 | 4445 | 242 |
| 10 | 4459 | 242 |
| 11 | 5193 | 242 |
| 12 | 5573 | 242 |
| 13 | 5799 | 242 |
| 14 | 6250 | 242 |
| 15 | 6612 | 242 |
| 16 | 6618 | 242 |
| 17 | 6630 | 242 |
| 18 | 6630 | 242 |
| 0 | 8644 | 212 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
-12/29 |
(- (* 3 x) 12/29) |
(- (* 3 x) 12/29) |
(- (* 3 x) 12/29) |
(* -12/29 y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(+ (* -12/29 y) (* 3 (* x y))) |
(+ (* -12/29 y) (* 3 (* x y))) |
-4/29 |
(- x 4/29) |
(- x 4/29) |
(- x 4/29) |
(* 3 x) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
(* 3 (* x y)) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
x |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(* 3 x) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(* 3 (* x y)) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
x |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
| Outputs |
|---|
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
-12/29 |
#s(literal -12/29 binary64) |
(- (* 3 x) 12/29) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(- (* 3 x) 12/29) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(- (* 3 x) 12/29) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(* -12/29 y) |
(*.f64 #s(literal -12/29 binary64) y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
-4/29 |
#s(literal -4/29 binary64) |
(- x 4/29) |
(-.f64 x #s(literal 4/29 binary64)) |
(- x 4/29) |
(-.f64 x #s(literal 4/29 binary64)) |
(- x 4/29) |
(-.f64 x #s(literal 4/29 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(* 3 (* x y)) |
(*.f64 (*.f64 y #s(literal 3 binary64)) x) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
x |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(-.f64 x #s(literal 4/29 binary64)) |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(-.f64 x #s(literal 4/29 binary64)) |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(-.f64 x #s(literal 4/29 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(* 3 (* x y)) |
(*.f64 (*.f64 y #s(literal 3 binary64)) x) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
x |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(-.f64 x #s(literal 4/29 binary64)) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(-.f64 x #s(literal 4/29 binary64)) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(-.f64 x #s(literal 4/29 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 16 |
| 0 | 14 | 16 |
| 1 | 35 | 16 |
| 2 | 164 | 16 |
| 3 | 1263 | 16 |
| 0 | 8918 | 14 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 16 binary64) #s(literal 116 binary64)) |
(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
| Outputs |
|---|
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Compiled 13 714 to 1 811 computations (86.8% saved)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 544 | 9 | 553 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 545 | 9 | 554 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.7% | (fma.f64 (*.f64 #s(literal 3 binary64) x) y (*.f64 #s(literal -12/29 binary64) y)) |
| 99.6% | (fma.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 y x))) | |
| ▶ | 99.6% | (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) |
| 99.7% | (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) | |
| 99.7% | (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) y) | |
| ▶ | 99.6% | (*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) |
| ▶ | 51.4% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) |
| ▶ | 49.9% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
| 51.5% | #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) |
Compiled 146 to 130 computations (11% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) | |
| cost-diff | 192 | (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) | |
| cost-diff | 896 | (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) | |
| cost-diff | 0 | (-.f64 x #s(literal 4/29 binary64)) | |
| cost-diff | 0 | (*.f64 y (-.f64 x #s(literal 4/29 binary64))) | |
| cost-diff | 128 | (*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 x #s(literal 3 binary64)) | |
| cost-diff | 0 | #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) | |
| cost-diff | 0 | #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) | |
| cost-diff | 0 | (*.f64 #s(literal -12/29 binary64) y) | |
| cost-diff | 0 | (*.f64 #s(literal 3 binary64) x) | |
| cost-diff | 320 | (fma.f64 (*.f64 #s(literal 3 binary64) x) y (*.f64 #s(literal -12/29 binary64) y)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 104 |
| 0 | 38 | 99 |
| 1 | 59 | 95 |
| 2 | 81 | 94 |
| 3 | 134 | 94 |
| 4 | 161 | 94 |
| 5 | 176 | 94 |
| 6 | 189 | 94 |
| 7 | 202 | 94 |
| 8 | 211 | 94 |
| 9 | 216 | 94 |
| 0 | 216 | 94 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (*.f64 #s(literal -12/29 binary64) y)) |
(*.f64 #s(literal 3 binary64) x) |
#s(literal 3 binary64) |
x |
y |
(*.f64 #s(literal -12/29 binary64) y) |
#s(literal -12/29 binary64) |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
#s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) |
#s(literal -12/29 binary64) |
y |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) |
#s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) |
(*.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
y |
(*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) |
(*.f64 y (-.f64 x #s(literal 4/29 binary64))) |
y |
(-.f64 x #s(literal 4/29 binary64)) |
x |
#s(literal 4/29 binary64) |
#s(literal 3 binary64) |
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) |
y |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) |
#s(literal 1 binary64) |
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) |
#s(literal 3 binary64) |
x |
#s(literal -12/29 binary64) |
| Outputs |
|---|
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (*.f64 #s(literal -12/29 binary64) y)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(*.f64 #s(literal 3 binary64) x) |
(*.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
x |
y |
(*.f64 #s(literal -12/29 binary64) y) |
#s(literal -12/29 binary64) |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
#s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) |
#s(literal -12/29 binary64) |
y |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) |
#s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) |
(*.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
y |
(*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(*.f64 y (-.f64 x #s(literal 4/29 binary64))) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
y |
(-.f64 x #s(literal 4/29 binary64)) |
x |
#s(literal 4/29 binary64) |
#s(literal 3 binary64) |
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
y |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) |
(/.f64 #s(literal 1/3 binary64) (-.f64 x #s(literal 4/29 binary64))) |
#s(literal 1 binary64) |
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
#s(literal 3 binary64) |
x |
#s(literal -12/29 binary64) |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) | |
| accuracy | 0.1875 | (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) | |
| accuracy | 0.20703125 | (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) | |
| accuracy | 0 | (-.f64 x #s(literal 4/29 binary64)) | |
| accuracy | 0.078125 | (*.f64 y (-.f64 x #s(literal 4/29 binary64))) | |
| accuracy | 0.2265625 | (*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) | |
| accuracy | 0 | (*.f64 x #s(literal 3 binary64)) | |
| accuracy | 0.171875 | (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) | |
| accuracy | 31.250545810405328 | #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) | |
| accuracy | 0.171875 | (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) | |
| accuracy | 32.23148851735112 | #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) | |
| accuracy | 0 | (*.f64 #s(literal 3 binary64) x) | |
| accuracy | 0.07421875 | (*.f64 #s(literal -12/29 binary64) y) | |
| accuracy | 0.125 | (fma.f64 (*.f64 #s(literal 3 binary64) x) y (*.f64 #s(literal -12/29 binary64) y)) |
| 52.0ms | 237× | 0 | valid |
| 4.0ms | 12× | 1 | valid |
| 3.0ms | 7× | 2 | valid |
Compiled 106 to 25 computations (76.4% saved)
const: 17.0ms (38.7% of total)ival-mult: 14.0ms (31.9% of total)ival-div: 6.0ms (13.7% of total)ival-sub: 3.0ms (6.8% of total)ival-add: 3.0ms (6.8% of total)adjust: 1.0ms (2.3% of total)exact: 1.0ms (2.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (*.f64 #s(literal 3 binary64) x) y (*.f64 #s(literal -12/29 binary64) y)) (patch (fma.f64 (*.f64 #s(literal 3 binary64) x) y (*.f64 #s(literal -12/29 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(literal -12/29 binary64) y) (patch (*.f64 #s(literal -12/29 binary64) y) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) (patch (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #<representation binary64>) () ()) |
#s(alt #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) (patch #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) (patch (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) #<representation binary64>) () ()) |
#s(alt #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) (patch #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) (patch (*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 y (-.f64 x #s(literal 4/29 binary64))) (patch (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #<representation binary64>) () ()) |
#s(alt (-.f64 x #s(literal 4/29 binary64)) (patch (-.f64 x #s(literal 4/29 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) (patch (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) (patch (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt (fma.f64 (*.f64 #s(literal 3 binary64) x) y (*.f64 #s(literal -12/29 binary64) y)) (patch (fma.f64 (*.f64 #s(literal 3 binary64) x) y (*.f64 #s(literal -12/29 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt (fma.f64 (*.f64 #s(literal 3 binary64) x) y (*.f64 #s(literal -12/29 binary64) y)) (patch (fma.f64 (*.f64 #s(literal 3 binary64) x) y (*.f64 #s(literal -12/29 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt (fma.f64 (*.f64 #s(literal 3 binary64) x) y (*.f64 #s(literal -12/29 binary64) y)) (patch (fma.f64 (*.f64 #s(literal 3 binary64) x) y (*.f64 #s(literal -12/29 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt (fma.f64 (*.f64 #s(literal 3 binary64) x) y (*.f64 #s(literal -12/29 binary64) y)) (patch (fma.f64 (*.f64 #s(literal 3 binary64) x) y (*.f64 #s(literal -12/29 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -12/29 y) (taylor 0 y) (#s(alt (*.f64 #s(literal -12/29 binary64) y) (patch (*.f64 #s(literal -12/29 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* -12/29 y) (taylor 0 y) (#s(alt (*.f64 #s(literal -12/29 binary64) y) (patch (*.f64 #s(literal -12/29 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* -12/29 y) (taylor 0 y) (#s(alt (*.f64 #s(literal -12/29 binary64) y) (patch (*.f64 #s(literal -12/29 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* -12/29 y) (taylor 0 y) (#s(alt (*.f64 #s(literal -12/29 binary64) y) (patch (*.f64 #s(literal -12/29 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) (patch (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) (patch (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) (patch (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) (patch (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) (patch (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) (patch (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) (patch (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) (patch (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) (patch (*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) (patch (*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) (patch (*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) (patch (*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- x 4/29)) (taylor 0 y) (#s(alt (*.f64 y (-.f64 x #s(literal 4/29 binary64))) (patch (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- x 4/29)) (taylor 0 y) (#s(alt (*.f64 y (-.f64 x #s(literal 4/29 binary64))) (patch (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- x 4/29)) (taylor 0 y) (#s(alt (*.f64 y (-.f64 x #s(literal 4/29 binary64))) (patch (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- x 4/29)) (taylor 0 y) (#s(alt (*.f64 y (-.f64 x #s(literal 4/29 binary64))) (patch (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) (patch (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) (patch (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) (patch (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) (patch (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 3 x) 12/29)) (taylor inf y) (#s(alt (fma.f64 (*.f64 #s(literal 3 binary64) x) y (*.f64 #s(literal -12/29 binary64) y)) (patch (fma.f64 (*.f64 #s(literal 3 binary64) x) y (*.f64 #s(literal -12/29 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 3 x) 12/29)) (taylor inf y) (#s(alt (fma.f64 (*.f64 #s(literal 3 binary64) x) y (*.f64 #s(literal -12/29 binary64) y)) (patch (fma.f64 (*.f64 #s(literal 3 binary64) x) y (*.f64 #s(literal -12/29 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 3 x) 12/29)) (taylor inf y) (#s(alt (fma.f64 (*.f64 #s(literal 3 binary64) x) y (*.f64 #s(literal -12/29 binary64) y)) (patch (fma.f64 (*.f64 #s(literal 3 binary64) x) y (*.f64 #s(literal -12/29 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 3 x) 12/29)) (taylor inf y) (#s(alt (fma.f64 (*.f64 #s(literal 3 binary64) x) y (*.f64 #s(literal -12/29 binary64) y)) (patch (fma.f64 (*.f64 #s(literal 3 binary64) x) y (*.f64 #s(literal -12/29 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -12/29 y) (taylor inf y) (#s(alt (*.f64 #s(literal -12/29 binary64) y) (patch (*.f64 #s(literal -12/29 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* -12/29 y) (taylor inf y) (#s(alt (*.f64 #s(literal -12/29 binary64) y) (patch (*.f64 #s(literal -12/29 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* -12/29 y) (taylor inf y) (#s(alt (*.f64 #s(literal -12/29 binary64) y) (patch (*.f64 #s(literal -12/29 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* -12/29 y) (taylor inf y) (#s(alt (*.f64 #s(literal -12/29 binary64) y) (patch (*.f64 #s(literal -12/29 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) (patch (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) (patch (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) (patch (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) (patch (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) (patch (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 x) (taylor -inf x) (#s(alt #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) (patch #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3))) (taylor -inf x) (#s(alt #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) (patch #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3))) (taylor -inf x) (#s(alt #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) (patch #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3))) (taylor -inf x) (#s(alt #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) (patch #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) (patch (*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) (patch (*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) (patch (*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) (patch (*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y (-.f64 x #s(literal 4/29 binary64))) (patch (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 y (-.f64 x #s(literal 4/29 binary64))) (patch (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 y (-.f64 x #s(literal 4/29 binary64))) (patch (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 y (-.f64 x #s(literal 4/29 binary64))) (patch (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (-.f64 x #s(literal 4/29 binary64)) (patch (-.f64 x #s(literal 4/29 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 4/29 binary64)) (patch (-.f64 x #s(literal 4/29 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 4/29 binary64)) (patch (-.f64 x #s(literal 4/29 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 4/29 binary64)) (patch (-.f64 x #s(literal 4/29 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) (patch (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) (patch (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) (patch (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) (patch (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/3 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1/3 (* 4/87 (/ 1 x))) x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (+ 4/87 (* 16/2523 (/ 1 x))) x)) 1/3) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (+ 4/87 (+ (/ 64/73167 (pow x 2)) (* 16/2523 (/ 1 x)))) x)) 1/3) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) (patch (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) (patch (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) (patch (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) (patch (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | ((+ (* (* 3 x) y) (* -12/29 y)) (* 3 x) (* -12/29 y) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* x 3) (* (* y (- x 4/29)) 3) (* y (- x 4/29)) (- x 4/29) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (+ (* 3 x) -12/29)) |
| 2.0ms | y | @ | 0 | ((+ (* (* 3 x) y) (* -12/29 y)) (* 3 x) (* -12/29 y) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* x 3) (* (* y (- x 4/29)) 3) (* y (- x 4/29)) (- x 4/29) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (+ (* 3 x) -12/29)) |
| 2.0ms | y | @ | -inf | ((+ (* (* 3 x) y) (* -12/29 y)) (* 3 x) (* -12/29 y) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* x 3) (* (* y (- x 4/29)) 3) (* y (- x 4/29)) (- x 4/29) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (+ (* 3 x) -12/29)) |
| 2.0ms | y | @ | inf | ((+ (* (* 3 x) y) (* -12/29 y)) (* 3 x) (* -12/29 y) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* x 3) (* (* y (- x 4/29)) 3) (* y (- x 4/29)) (- x 4/29) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (+ (* 3 x) -12/29)) |
| 2.0ms | x | @ | -inf | ((+ (* (* 3 x) y) (* -12/29 y)) (* 3 x) (* -12/29 y) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* x 3) (* (* y (- x 4/29)) 3) (* y (- x 4/29)) (- x 4/29) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (+ (* 3 x) -12/29)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 112 | 1320 |
| 1 | 289 | 1320 |
| 2 | 698 | 1320 |
| 3 | 1365 | 1320 |
| 4 | 3567 | 1312 |
| 5 | 5928 | 1312 |
| 0 | 8045 | 1174 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* -12/29 y) |
(* -12/29 y) |
(* -12/29 y) |
(* -12/29 y) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* y (- x 4/29)) |
(* y (- x 4/29)) |
(* y (- x 4/29)) |
(* y (- x 4/29)) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* -12/29 y) |
(* -12/29 y) |
(* -12/29 y) |
(* -12/29 y) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* y (- x 4/29)) |
(* y (- x 4/29)) |
(* y (- x 4/29)) |
(* y (- x 4/29)) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* -1 (* y (+ 12/29 (* -3 x)))) |
(* -1 (* y (+ 12/29 (* -3 x)))) |
(* -1 (* y (+ 12/29 (* -3 x)))) |
(* -1 (* y (+ 12/29 (* -3 x)))) |
(* -12/29 y) |
(* -12/29 y) |
(* -12/29 y) |
(* -12/29 y) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* y (- x 4/29)) |
(* y (- x 4/29)) |
(* y (- x 4/29)) |
(* y (- x 4/29)) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* -12/29 y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(+ (* -12/29 y) (* 3 (* x y))) |
(+ (* -12/29 y) (* 3 (* x y))) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* -12/29 y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(+ (* -12/29 y) (* 3 (* x y))) |
(+ (* -12/29 y) (* 3 (* x y))) |
-12/29 |
(- (* 3 x) 12/29) |
(- (* 3 x) 12/29) |
(- (* 3 x) 12/29) |
(* -12/29 y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(+ (* -12/29 y) (* 3 (* x y))) |
(+ (* -12/29 y) (* 3 (* x y))) |
-12/29 |
(- (* 3 x) 12/29) |
(- (* 3 x) 12/29) |
(- (* 3 x) 12/29) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* -12/29 y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(+ (* -12/29 y) (* 3 (* x y))) |
(+ (* -12/29 y) (* 3 (* x y))) |
(* -4/29 y) |
(+ (* -4/29 y) (* x y)) |
(+ (* -4/29 y) (* x y)) |
(+ (* -4/29 y) (* x y)) |
-4/29 |
(- x 4/29) |
(- x 4/29) |
(- x 4/29) |
(* -12/29 y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(+ (* -12/29 y) (* 3 (* x y))) |
(+ (* -12/29 y) (* 3 (* x y))) |
-29/12 |
(- (* -841/48 x) 29/12) |
(- (* x (- (* -24389/192 x) 841/48)) 29/12) |
(- (* x (- (* x (- (* -707281/768 x) 24389/192)) 841/48)) 29/12) |
-12/29 |
(- (* 3 x) 12/29) |
(- (* 3 x) 12/29) |
(- (* 3 x) 12/29) |
(* 3 (* x y)) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 (* x y)) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* 3 x) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
(* 3 (* x y)) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* 3 x) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 (* x y)) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x y) |
(* x (+ y (* -4/29 (/ y x)))) |
(* x (+ y (* -4/29 (/ y x)))) |
(* x (+ y (* -4/29 (/ y x)))) |
x |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(* 3 (* x y)) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(/ 1/3 x) |
(/ (+ 1/3 (* 4/87 (/ 1 x))) x) |
(/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (* 4/87 (/ 1 x)))) x) |
(/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (+ (* 4/87 (/ 1 x)) (* 64/73167 (/ 1 (pow x 3)))))) x) |
(* 3 x) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
(* 3 (* x y)) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 (* x y)) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* 3 x) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(* 3 (* x y)) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* 3 x) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 (* x y)) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) |
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) |
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) |
x |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(* 3 (* x y)) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(/ 1/3 x) |
(/ (+ 1/3 (* 4/87 (/ 1 x))) x) |
(* -1 (/ (- (* -1 (/ (+ 4/87 (* 16/2523 (/ 1 x))) x)) 1/3) x)) |
(* -1 (/ (- (* -1 (/ (+ 4/87 (+ (/ 64/73167 (pow x 2)) (* 16/2523 (/ 1 x)))) x)) 1/3) x)) |
(* 3 x) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
| Outputs |
|---|
(* y (- (* 3 x) 12/29)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* y (- (* 3 x) 12/29)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* y (- (* 3 x) 12/29)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* y (- (* 3 x) 12/29)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* -12/29 y) |
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(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* x y) |
(*.f64 x y) |
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
x |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(-.f64 x #s(literal 4/29 binary64)) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(-.f64 x #s(literal 4/29 binary64)) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(-.f64 x #s(literal 4/29 binary64)) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ (+ 1/3 (* 4/87 (/ 1 x))) x) |
(/.f64 (+.f64 (/.f64 #s(literal 4/87 binary64) x) #s(literal 1/3 binary64)) x) |
(* -1 (/ (- (* -1 (/ (+ 4/87 (* 16/2523 (/ 1 x))) x)) 1/3) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 16/2523 binary64) x) #s(literal -4/87 binary64)) x) #s(literal -1/3 binary64)) x) |
(* -1 (/ (- (* -1 (/ (+ 4/87 (+ (/ 64/73167 (pow x 2)) (* 16/2523 (/ 1 x)))) x)) 1/3) x)) |
(/.f64 (-.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 16/2523 binary64) x) #s(literal -4/87 binary64)) x) #s(literal -1/3 binary64)) (/.f64 #s(literal -64/73167 binary64) (pow.f64 x #s(literal 3 binary64)))) x) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 86 |
| 0 | 38 | 81 |
| 1 | 114 | 77 |
| 2 | 619 | 76 |
| 3 | 6501 | 76 |
| 0 | 8076 | 76 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (*.f64 #s(literal -12/29 binary64) y)) |
(*.f64 #s(literal 3 binary64) x) |
(*.f64 #s(literal -12/29 binary64) y) |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
#s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) |
#s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) |
(*.f64 x #s(literal 3 binary64)) |
(*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) |
(*.f64 y (-.f64 x #s(literal 4/29 binary64))) |
(-.f64 x #s(literal 4/29 binary64)) |
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) |
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) |
| Outputs |
|---|
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Compiled 25 712 to 2 130 computations (91.7% saved)
10 alts after pruning (6 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 495 | 4 | 1 499 |
| Fresh | 2 | 2 | 4 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 498 | 10 | 1 508 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.7% | (fma.f64 (*.f64 #s(literal 3 binary64) x) y (*.f64 #s(literal -12/29 binary64) y)) |
| ▶ | 49.8% | (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) |
| ▶ | 99.7% | (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
| 99.7% | (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) y) | |
| ✓ | 99.6% | (*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) |
| ▶ | 49.8% | (*.f64 (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64)) |
| ✓ | 51.4% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) |
| ✓ | 49.9% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
| ▶ | 51.5% | (*.f64 #s(approx (* y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64)) |
| ▶ | 51.5% | #s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) |
Compiled 117 to 109 computations (6.8% saved)
| 1× | egg-herbie |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) | |
| cost-diff | 0 | (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) | |
| cost-diff | 0 | #s(approx (- x 4/29) #s(literal -4/29 binary64)) | |
| cost-diff | 0 | (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) | |
| cost-diff | 0 | (*.f64 (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | #s(approx (* y (- x 4/29)) (*.f64 x y)) | |
| cost-diff | 0 | (*.f64 #s(approx (* y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 #s(literal 3 binary64) y) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 3 binary64) y) x) | |
| cost-diff | 0 | #s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) | |
| cost-diff | 0 | (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 112 |
| 0 | 37 | 109 |
| 1 | 59 | 107 |
| 2 | 83 | 107 |
| 3 | 104 | 107 |
| 4 | 121 | 107 |
| 5 | 123 | 107 |
| 0 | 123 | 107 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
x |
#s(literal 3 binary64) |
#s(literal -12/29 binary64) |
y |
#s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(*.f64 #s(literal 3 binary64) y) |
#s(literal 3 binary64) |
y |
x |
(*.f64 #s(approx (* y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64)) |
#s(approx (* y (- x 4/29)) (*.f64 x y)) |
(*.f64 x y) |
x |
y |
#s(literal 3 binary64) |
(*.f64 (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64)) |
(*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) |
y |
#s(approx (- x 4/29) #s(literal -4/29 binary64)) |
#s(literal -4/29 binary64) |
#s(literal 3 binary64) |
(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) |
y |
#s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) |
#s(literal -29/12 binary64) |
| Outputs |
|---|
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) |
x |
#s(literal 3 binary64) |
#s(literal -12/29 binary64) |
y |
#s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) |
#s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 #s(literal 3 binary64) x) y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(*.f64 (*.f64 #s(literal 3 binary64) x) y) |
(*.f64 #s(literal 3 binary64) y) |
(*.f64 y #s(literal 3 binary64)) |
#s(literal 3 binary64) |
y |
x |
(*.f64 #s(approx (* y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64)) |
(*.f64 #s(approx (* y (- x 4/29)) (*.f64 y x)) #s(literal 3 binary64)) |
#s(approx (* y (- x 4/29)) (*.f64 x y)) |
#s(approx (* y (- x 4/29)) (*.f64 y x)) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
#s(literal 3 binary64) |
(*.f64 (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64)) |
(*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) |
(*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) |
(*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) |
y |
#s(approx (- x 4/29) #s(literal -4/29 binary64)) |
#s(literal -4/29 binary64) |
#s(literal 3 binary64) |
(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) |
y |
#s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) |
#s(literal -29/12 binary64) |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.20703125 | (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) | |
| accuracy | 32.02780860437604 | #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) | |
| accuracy | 0.078125 | (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) | |
| accuracy | 0.2265625 | (*.f64 (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64)) | |
| accuracy | 32.20763108279458 | #s(approx (- x 4/29) #s(literal -4/29 binary64)) | |
| accuracy | 0 | (*.f64 x y) | |
| accuracy | 0.2265625 | (*.f64 #s(approx (* y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64)) | |
| accuracy | 30.992826843028077 | #s(approx (* y (- x 4/29)) (*.f64 x y)) | |
| accuracy | 0 | (*.f64 #s(literal 3 binary64) y) | |
| accuracy | 0.17578125 | (*.f64 (*.f64 #s(literal 3 binary64) y) x) | |
| accuracy | 30.99340229671476 | #s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) | |
| accuracy | 0 | (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) | |
| accuracy | 0.171875 | (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
| 69.0ms | 237× | 0 | valid |
| 3.0ms | 12× | 1 | valid |
| 2.0ms | 7× | 2 | valid |
Compiled 92 to 23 computations (75% saved)
const: 38.0ms (63.7% of total)ival-mult: 13.0ms (21.8% of total)ival-div: 4.0ms (6.7% of total)ival-add: 3.0ms (5% of total)adjust: 1.0ms (1.7% of total)ival-sub: 1.0ms (1.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) (patch (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) #<representation binary64>) () ()) |
#s(alt (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) (patch (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) (patch #s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(literal 3 binary64) y) x) (patch (*.f64 (*.f64 #s(literal 3 binary64) y) x) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 3 binary64) y) (patch (*.f64 #s(literal 3 binary64) y) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (* y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64)) (patch (*.f64 #s(approx (* y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (* y (- x 4/29)) (*.f64 x y)) (patch #s(approx (* y (- x 4/29)) (*.f64 x y)) #<representation binary64>) () ()) |
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64)) (patch (*.f64 (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) (patch (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (- x 4/29) #s(literal -4/29 binary64)) (patch #s(approx (- x 4/29) #s(literal -4/29 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) (patch #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) (patch (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) (patch (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) (patch (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) (patch (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt #s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) (patch #s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt #s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) (patch #s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt #s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) (patch #s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt #s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) (patch #s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) y) x) (patch (*.f64 (*.f64 #s(literal 3 binary64) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) y) x) (patch (*.f64 (*.f64 #s(literal 3 binary64) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) y) x) (patch (*.f64 (*.f64 #s(literal 3 binary64) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) y) x) (patch (*.f64 (*.f64 #s(literal 3 binary64) y) x) #<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 (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 #s(approx (* y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64)) (patch (*.f64 #s(approx (* y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 #s(approx (* y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64)) (patch (*.f64 #s(approx (* y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 #s(approx (* y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64)) (patch (*.f64 #s(approx (* y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 #s(approx (* y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64)) (patch (*.f64 #s(approx (* y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- x 4/29)) (taylor 0 y) (#s(alt #s(approx (* y (- x 4/29)) (*.f64 x y)) (patch #s(approx (* y (- x 4/29)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- x 4/29)) (taylor 0 y) (#s(alt #s(approx (* y (- x 4/29)) (*.f64 x y)) (patch #s(approx (* y (- x 4/29)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- x 4/29)) (taylor 0 y) (#s(alt #s(approx (* y (- x 4/29)) (*.f64 x y)) (patch #s(approx (* y (- x 4/29)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- x 4/29)) (taylor 0 y) (#s(alt #s(approx (* y (- x 4/29)) (*.f64 x y)) (patch #s(approx (* y (- x 4/29)) (*.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 (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64)) (patch (*.f64 (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64)) (patch (*.f64 (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64)) (patch (*.f64 (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64)) (patch (*.f64 (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- x 4/29)) (taylor 0 y) (#s(alt (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) (patch (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- x 4/29)) (taylor 0 y) (#s(alt (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) (patch (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- x 4/29)) (taylor 0 y) (#s(alt (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) (patch (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- x 4/29)) (taylor 0 y) (#s(alt (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) (patch (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 3 x) 12/29)) (taylor inf y) (#s(alt (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) (patch (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 3 x) 12/29)) (taylor inf y) (#s(alt (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) (patch (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 3 x) 12/29)) (taylor inf y) (#s(alt (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) (patch (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 3 x) 12/29)) (taylor inf y) (#s(alt (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) (patch (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 3 x) 12/29)) (taylor inf y) (#s(alt #s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) (patch #s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 3 x) 12/29)) (taylor inf y) (#s(alt #s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) (patch #s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 3 x) 12/29)) (taylor inf y) (#s(alt #s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) (patch #s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 3 x) 12/29)) (taylor inf y) (#s(alt #s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) (patch #s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) y) x) (patch (*.f64 (*.f64 #s(literal 3 binary64) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) y) x) (patch (*.f64 (*.f64 #s(literal 3 binary64) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) y) x) (patch (*.f64 (*.f64 #s(literal 3 binary64) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) y) x) (patch (*.f64 (*.f64 #s(literal 3 binary64) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* 3 y) (taylor inf y) (#s(alt (*.f64 #s(literal 3 binary64) y) (patch (*.f64 #s(literal 3 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 y) (taylor inf y) (#s(alt (*.f64 #s(literal 3 binary64) y) (patch (*.f64 #s(literal 3 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 y) (taylor inf y) (#s(alt (*.f64 #s(literal 3 binary64) y) (patch (*.f64 #s(literal 3 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 y) (taylor inf y) (#s(alt (*.f64 #s(literal 3 binary64) y) (patch (*.f64 #s(literal 3 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (*.f64 #s(approx (* y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64)) (patch (*.f64 #s(approx (* y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (*.f64 #s(approx (* y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64)) (patch (*.f64 #s(approx (* y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (*.f64 #s(approx (* y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64)) (patch (*.f64 #s(approx (* y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (*.f64 #s(approx (* y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64)) (patch (*.f64 #s(approx (* y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- x 4/29)) (taylor inf y) (#s(alt #s(approx (* y (- x 4/29)) (*.f64 x y)) (patch #s(approx (* y (- x 4/29)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- x 4/29)) (taylor inf y) (#s(alt #s(approx (* y (- x 4/29)) (*.f64 x y)) (patch #s(approx (* y (- x 4/29)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- x 4/29)) (taylor inf y) (#s(alt #s(approx (* y (- x 4/29)) (*.f64 x y)) (patch #s(approx (* y (- x 4/29)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- x 4/29)) (taylor inf y) (#s(alt #s(approx (* y (- x 4/29)) (*.f64 x y)) (patch #s(approx (* y (- x 4/29)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (*.f64 (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64)) (patch (*.f64 (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (*.f64 (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64)) (patch (*.f64 (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (*.f64 (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64)) (patch (*.f64 (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (*.f64 (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64)) (patch (*.f64 (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- x 4/29)) (taylor inf y) (#s(alt (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) (patch (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- x 4/29)) (taylor inf y) (#s(alt (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) (patch (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- x 4/29)) (taylor inf y) (#s(alt (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) (patch (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- x 4/29)) (taylor inf y) (#s(alt (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) (patch (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 3 x) 12/29)) (taylor inf y) (#s(alt (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 3 x) 12/29)) (taylor inf y) (#s(alt (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 3 x) 12/29)) (taylor inf y) (#s(alt (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 3 x) 12/29)) (taylor inf y) (#s(alt (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 3 x) 12/29)) (taylor -inf y) (#s(alt (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) (patch (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 3 x) 12/29)) (taylor -inf y) (#s(alt (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) (patch (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) (patch (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt #s(approx (- x 4/29) #s(literal -4/29 binary64)) (patch #s(approx (- x 4/29) #s(literal -4/29 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1))) (taylor -inf x) (#s(alt #s(approx (- x 4/29) #s(literal -4/29 binary64)) (patch #s(approx (- x 4/29) #s(literal -4/29 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1))) (taylor -inf x) (#s(alt #s(approx (- x 4/29) #s(literal -4/29 binary64)) (patch #s(approx (- x 4/29) #s(literal -4/29 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1))) (taylor -inf x) (#s(alt #s(approx (- x 4/29) #s(literal -4/29 binary64)) (patch #s(approx (- x 4/29) #s(literal -4/29 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/3 x) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) (patch #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1/3 (* 4/87 (/ 1 x))) x) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) (patch #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (+ 4/87 (* 16/2523 (/ 1 x))) x)) 1/3) x)) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) (patch #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (+ 4/87 (+ (/ 64/73167 (pow x 2)) (* 16/2523 (/ 1 x)))) x)) 1/3) x)) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) (patch #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | -inf | ((* (+ (* x 3) -12/29) y) (+ (* x 3) -12/29) (/ y (/ 1 (+ (* 3 x) -12/29))) (* (* 3 y) x) (* 3 y) (* (* y (- x 4/29)) 3) (* y (- x 4/29)) (* x y) (* (* y (- x 4/29)) 3) (* y (- x 4/29)) (- x 4/29) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29))) |
| 1.0ms | y | @ | inf | ((* (+ (* x 3) -12/29) y) (+ (* x 3) -12/29) (/ y (/ 1 (+ (* 3 x) -12/29))) (* (* 3 y) x) (* 3 y) (* (* y (- x 4/29)) 3) (* y (- x 4/29)) (* x y) (* (* y (- x 4/29)) 3) (* y (- x 4/29)) (- x 4/29) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29))) |
| 1.0ms | x | @ | -inf | ((* (+ (* x 3) -12/29) y) (+ (* x 3) -12/29) (/ y (/ 1 (+ (* 3 x) -12/29))) (* (* 3 y) x) (* 3 y) (* (* y (- x 4/29)) 3) (* y (- x 4/29)) (* x y) (* (* y (- x 4/29)) 3) (* y (- x 4/29)) (- x 4/29) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29))) |
| 1.0ms | y | @ | 0 | ((* (+ (* x 3) -12/29) y) (+ (* x 3) -12/29) (/ y (/ 1 (+ (* 3 x) -12/29))) (* (* 3 y) x) (* 3 y) (* (* y (- x 4/29)) 3) (* y (- x 4/29)) (* x y) (* (* y (- x 4/29)) 3) (* y (- x 4/29)) (- x 4/29) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29))) |
| 1.0ms | x | @ | inf | ((* (+ (* x 3) -12/29) y) (+ (* x 3) -12/29) (/ y (/ 1 (+ (* 3 x) -12/29))) (* (* 3 y) x) (* 3 y) (* (* y (- x 4/29)) 3) (* y (- x 4/29)) (* x y) (* (* y (- x 4/29)) 3) (* y (- x 4/29)) (- x 4/29) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 108 | 1450 |
| 1 | 274 | 1450 |
| 2 | 638 | 1450 |
| 3 | 1292 | 1450 |
| 4 | 3510 | 1442 |
| 5 | 5863 | 1442 |
| 6 | 7968 | 1442 |
| 0 | 8061 | 1322 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* y (- x 4/29)) |
(* y (- x 4/29)) |
(* y (- x 4/29)) |
(* y (- x 4/29)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* y (- x 4/29)) |
(* y (- x 4/29)) |
(* y (- x 4/29)) |
(* y (- x 4/29)) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* y (- x 4/29)) |
(* y (- x 4/29)) |
(* y (- x 4/29)) |
(* y (- x 4/29)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* y (- x 4/29)) |
(* y (- x 4/29)) |
(* y (- x 4/29)) |
(* y (- x 4/29)) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* y (- x 4/29)) |
(* y (- x 4/29)) |
(* y (- x 4/29)) |
(* y (- x 4/29)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* y (- x 4/29)) |
(* y (- x 4/29)) |
(* y (- x 4/29)) |
(* y (- x 4/29)) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* -12/29 y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(+ (* -12/29 y) (* 3 (* x y))) |
(+ (* -12/29 y) (* 3 (* x y))) |
-12/29 |
(- (* 3 x) 12/29) |
(- (* 3 x) 12/29) |
(- (* 3 x) 12/29) |
(* -12/29 y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(+ (* -12/29 y) (* 3 (* x y))) |
(+ (* -12/29 y) (* 3 (* x y))) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* -12/29 y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(+ (* -12/29 y) (* 3 (* x y))) |
(+ (* -12/29 y) (* 3 (* x y))) |
(* -4/29 y) |
(+ (* -4/29 y) (* x y)) |
(+ (* -4/29 y) (* x y)) |
(+ (* -4/29 y) (* x y)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -12/29 y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(+ (* -12/29 y) (* 3 (* x y))) |
(+ (* -12/29 y) (* 3 (* x y))) |
(* -4/29 y) |
(+ (* -4/29 y) (* x y)) |
(+ (* -4/29 y) (* x y)) |
(+ (* -4/29 y) (* x y)) |
-4/29 |
(- x 4/29) |
(- x 4/29) |
(- x 4/29) |
(* -12/29 y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(+ (* -12/29 y) (* 3 (* x y))) |
(+ (* -12/29 y) (* 3 (* x y))) |
-29/12 |
(- (* -841/48 x) 29/12) |
(- (* x (- (* -24389/192 x) 841/48)) 29/12) |
(- (* x (- (* x (- (* -707281/768 x) 24389/192)) 841/48)) 29/12) |
(* 3 (* x y)) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* 3 x) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
(* 3 (* x y)) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x y) |
(* x (+ y (* -4/29 (/ y x)))) |
(* x (+ y (* -4/29 (/ y x)))) |
(* x (+ y (* -4/29 (/ y x)))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* 3 (* x y)) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x y) |
(* x (+ y (* -4/29 (/ y x)))) |
(* x (+ y (* -4/29 (/ y x)))) |
(* x (+ y (* -4/29 (/ y x)))) |
x |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(* 3 (* x y)) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(/ 1/3 x) |
(/ (+ 1/3 (* 4/87 (/ 1 x))) x) |
(/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (* 4/87 (/ 1 x)))) x) |
(/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (+ (* 4/87 (/ 1 x)) (* 64/73167 (/ 1 (pow x 3)))))) x) |
(* 3 (* x y)) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* 3 x) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(* 3 (* x y)) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) |
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) |
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* 3 (* x y)) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) |
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) |
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) |
x |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(* 3 (* x y)) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(/ 1/3 x) |
(/ (+ 1/3 (* 4/87 (/ 1 x))) x) |
(* -1 (/ (- (* -1 (/ (+ 4/87 (* 16/2523 (/ 1 x))) x)) 1/3) x)) |
(* -1 (/ (- (* -1 (/ (+ 4/87 (+ (/ 64/73167 (pow x 2)) (* 16/2523 (/ 1 x)))) x)) 1/3) x)) |
| Outputs |
|---|
(* y (- (* 3 x) 12/29)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* y (- (* 3 x) 12/29)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* y (- (* 3 x) 12/29)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* y (- (* 3 x) 12/29)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* y (- (* 3 x) 12/29)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* y (- (* 3 x) 12/29)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* y (- (* 3 x) 12/29)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* y (- (* 3 x) 12/29)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) 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) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* y (- x 4/29)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(* y (- x 4/29)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(* y (- x 4/29)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(* y (- x 4/29)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* y (- x 4/29)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(* y (- x 4/29)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(* y (- x 4/29)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(* y (- x 4/29)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(* y (- (* 3 x) 12/29)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* y (- (* 3 x) 12/29)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* y (- (* 3 x) 12/29)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* y (- (* 3 x) 12/29)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* y (- (* 3 x) 12/29)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* y (- (* 3 x) 12/29)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* y (- (* 3 x) 12/29)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* y (- (* 3 x) 12/29)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* y (- (* 3 x) 12/29)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* y (- (* 3 x) 12/29)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* y (- (* 3 x) 12/29)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* y (- (* 3 x) 12/29)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) 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) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* y (- x 4/29)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(* y (- x 4/29)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
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(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 16/2523 binary64) x) #s(literal -4/87 binary64)) x) #s(literal -1/3 binary64)) x) |
(* -1 (/ (- (* -1 (/ (+ 4/87 (+ (/ 64/73167 (pow x 2)) (* 16/2523 (/ 1 x)))) x)) 1/3) x)) |
(/.f64 (-.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 16/2523 binary64) x) #s(literal -4/87 binary64)) x) #s(literal -1/3 binary64)) (/.f64 #s(literal -64/73167 binary64) (pow.f64 x #s(literal 3 binary64)))) x) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 97 |
| 0 | 37 | 94 |
| 1 | 122 | 92 |
| 2 | 495 | 92 |
| 3 | 4025 | 92 |
| 0 | 8396 | 92 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
#s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(*.f64 #s(literal 3 binary64) y) |
(*.f64 #s(approx (* y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64)) |
#s(approx (* y (- x 4/29)) (*.f64 x y)) |
(*.f64 x y) |
(*.f64 (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64)) |
(*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) |
#s(approx (- x 4/29) #s(literal -4/29 binary64)) |
(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) |
#s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) |
| Outputs |
|---|
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Compiled 8 139 to 1 201 computations (85.2% saved)
11 alts after pruning (2 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 696 | 1 | 697 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 4 | 4 |
| Total | 696 | 11 | 707 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.7% | (fma.f64 (*.f64 #s(literal 3 binary64) x) y (*.f64 #s(literal -12/29 binary64) y)) |
| ✓ | 49.8% | (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) |
| ✓ | 99.7% | (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
| ▶ | 99.7% | (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) y) |
| ✓ | 99.6% | (*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) |
| ✓ | 49.8% | (*.f64 (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64)) |
| ▶ | 49.8% | (*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64))) |
| ✓ | 51.4% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) |
| ✓ | 49.9% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
| ✓ | 51.5% | (*.f64 #s(approx (* y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64)) |
| ✓ | 51.5% | #s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) |
Compiled 77 to 74 computations (3.9% saved)
| 1× | egg-herbie |
Found 7 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) y) | |
| cost-diff | 320 | (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64)))) | |
| cost-diff | 896 | (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) | |
| cost-diff | 0 | #s(approx (- x 4/29) #s(literal -4/29 binary64)) | |
| cost-diff | 0 | (*.f64 y #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 86 |
| 0 | 27 | 80 |
| 1 | 49 | 80 |
| 2 | 86 | 80 |
| 3 | 142 | 80 |
| 4 | 221 | 77 |
| 5 | 265 | 77 |
| 6 | 300 | 77 |
| 7 | 342 | 74 |
| 8 | 359 | 74 |
| 9 | 365 | 74 |
| 10 | 366 | 74 |
| 0 | 366 | 72 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64))) |
(*.f64 y #s(literal 3 binary64)) |
y |
#s(literal 3 binary64) |
#s(approx (- x 4/29) #s(literal -4/29 binary64)) |
#s(literal -4/29 binary64) |
(*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) y) |
(fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) |
#s(literal 3 binary64) |
(*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) |
x |
(/.f64 x (-.f64 x #s(literal -4/29 binary64))) |
(-.f64 x #s(literal -4/29 binary64)) |
#s(literal -4/29 binary64) |
(*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64)))) |
(/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))) |
#s(literal -16/841 binary64) |
y |
| Outputs |
|---|
(*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64))) |
(*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) |
(*.f64 y #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) y) |
y |
#s(literal 3 binary64) |
#s(approx (- x 4/29) #s(literal -4/29 binary64)) |
#s(literal -4/29 binary64) |
(*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) y) |
(*.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) (/.f64 #s(literal 3 binary64) (-.f64 x #s(literal -4/29 binary64)))) |
(fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) |
(*.f64 (fma.f64 x x #s(literal -16/841 binary64)) (/.f64 #s(literal 3 binary64) (-.f64 x #s(literal -4/29 binary64)))) |
#s(literal 3 binary64) |
(*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) |
(*.f64 (/.f64 x (-.f64 x #s(literal -4/29 binary64))) x) |
x |
(/.f64 x (-.f64 x #s(literal -4/29 binary64))) |
(-.f64 x #s(literal -4/29 binary64)) |
#s(literal -4/29 binary64) |
(*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64)))) |
(/.f64 #s(literal -48/841 binary64) (-.f64 x #s(literal -4/29 binary64))) |
(/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))) |
#s(literal -16/841 binary64) |
y |
Found 7 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.09765625 | (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) | |
| accuracy | 0.14453125 | (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64)))) | |
| accuracy | 0.171875 | (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) y) | |
| accuracy | 0.30078125 | (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))) | |
| accuracy | 0 | (*.f64 y #s(literal 3 binary64)) | |
| accuracy | 0.24609375 | (*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64))) | |
| accuracy | 32.20763108279458 | #s(approx (- x 4/29) #s(literal -4/29 binary64)) |
| 199.0ms | 221× | 0 | valid |
| 6.0ms | 21× | 1 | valid |
| 5.0ms | 14× | 2 | valid |
Compiled 86 to 19 computations (77.9% saved)
ival-mult: 11.0ms (35.2% of total)const: 10.0ms (32% of total)ival-div: 4.0ms (12.8% of total)ival-sub: 3.0ms (9.6% of total)adjust: 1.0ms (3.2% of total)ival-add: 1.0ms (3.2% 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 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64))) (patch (*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- x 4/29) #s(literal -4/29 binary64)) (patch #s(approx (- x 4/29) #s(literal -4/29 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) (patch (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64)))) (patch (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) y) (patch (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) y) #<representation binary64>) () ()) |
#s(alt (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (patch (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))) (patch (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64))) (patch (*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64))) (patch (*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64))) (patch (*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64))) (patch (*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 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 (* y (- (* 3 (/ (pow x 2) (+ 4/29 x))) (* 48/841 (/ 1 (+ 4/29 x))))) (taylor 0 y) (#s(alt (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) y) (patch (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 3 (/ (pow x 2) (+ 4/29 x))) (* 48/841 (/ 1 (+ 4/29 x))))) (taylor 0 y) (#s(alt (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) y) (patch (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 3 (/ (pow x 2) (+ 4/29 x))) (* 48/841 (/ 1 (+ 4/29 x))))) (taylor 0 y) (#s(alt (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) y) (patch (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 3 (/ (pow x 2) (+ 4/29 x))) (* 48/841 (/ 1 (+ 4/29 x))))) (taylor 0 y) (#s(alt (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) y) (patch (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64))) (patch (*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64))) (patch (*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64))) (patch (*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64))) (patch (*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 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 (* y (- (* 3 (/ (pow x 2) (+ 4/29 x))) (* 48/841 (/ 1 (+ 4/29 x))))) (taylor inf y) (#s(alt (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) y) (patch (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 3 (/ (pow x 2) (+ 4/29 x))) (* 48/841 (/ 1 (+ 4/29 x))))) (taylor inf y) (#s(alt (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) y) (patch (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 3 (/ (pow x 2) (+ 4/29 x))) (* 48/841 (/ 1 (+ 4/29 x))))) (taylor inf y) (#s(alt (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) y) (patch (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 3 (/ (pow x 2) (+ 4/29 x))) (* 48/841 (/ 1 (+ 4/29 x))))) (taylor inf y) (#s(alt (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) y) (patch (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor -inf y) (#s(alt (*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64))) (patch (*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor -inf y) (#s(alt (*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64))) (patch (*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor -inf y) (#s(alt (*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64))) (patch (*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor -inf y) (#s(alt (*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64))) (patch (*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 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 (* y (- (* 3 (/ (pow x 2) (+ 4/29 x))) (* 48/841 (/ 1 (+ 4/29 x))))) (taylor -inf y) (#s(alt (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) y) (patch (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 3 (/ (pow x 2) (+ 4/29 x))) (* 48/841 (/ 1 (+ 4/29 x))))) (taylor -inf y) (#s(alt (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) y) (patch (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 3 (/ (pow x 2) (+ 4/29 x))) (* 48/841 (/ 1 (+ 4/29 x))))) (taylor -inf y) (#s(alt (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) y) (patch (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 3 (/ (pow x 2) (+ 4/29 x))) (* 48/841 (/ 1 (+ 4/29 x))))) (taylor -inf y) (#s(alt (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) y) (patch (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) y) #<representation binary64>) () ())) ()) |
#s(alt (* -12/29 y) (taylor 0 x) (#s(alt (*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64))) (patch (*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -12/29 y) (* 3 (* x y))) (taylor 0 x) (#s(alt (*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64))) (patch (*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -12/29 y) (* 3 (* x y))) (taylor 0 x) (#s(alt (*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64))) (patch (*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -12/29 y) (* 3 (* x y))) (taylor 0 x) (#s(alt (*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64))) (patch (*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64))) #<representation binary64>) () ())) ()) |
#s(alt -4/29 (taylor 0 x) (#s(alt #s(approx (- x 4/29) #s(literal -4/29 binary64)) (patch #s(approx (- x 4/29) #s(literal -4/29 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- x 4/29) (taylor 0 x) (#s(alt #s(approx (- x 4/29) #s(literal -4/29 binary64)) (patch #s(approx (- x 4/29) #s(literal -4/29 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- x 4/29) (taylor 0 x) (#s(alt #s(approx (- x 4/29) #s(literal -4/29 binary64)) (patch #s(approx (- x 4/29) #s(literal -4/29 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- x 4/29) (taylor 0 x) (#s(alt #s(approx (- x 4/29) #s(literal -4/29 binary64)) (patch #s(approx (- x 4/29) #s(literal -4/29 binary64)) #<representation binary64>) () ())) ()) |
#s(alt -12/29 (taylor 0 x) (#s(alt (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) (patch (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 3 x) 12/29) (taylor 0 x) (#s(alt (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) (patch (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 3 x) 12/29) (taylor 0 x) (#s(alt (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) (patch (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 3 x) 12/29) (taylor 0 x) (#s(alt (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) (patch (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt -12/29 (taylor 0 x) (#s(alt (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64)))) (patch (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 3 x) 12/29) (taylor 0 x) (#s(alt (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64)))) (patch (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (+ 3 (* -87/4 x))) 12/29) (taylor 0 x) (#s(alt (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64)))) (patch (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (+ 3 (* x (- (* 2523/16 x) 87/4)))) 12/29) (taylor 0 x) (#s(alt (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64)))) (patch (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -12/29 y) (taylor 0 x) (#s(alt (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) y) (patch (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -12/29 y) (* 3 (* x y))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) y) (patch (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -12/29 y) (* 3 (* x y))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) y) (patch (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) y) #<representation binary64>) () ())) ()) |
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#s(alt x (taylor -inf x) (#s(alt (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (patch (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (patch (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (* 16/841 (/ 1 x)) 4/29) x)) 1))) (taylor -inf x) (#s(alt (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (patch (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 64/24389 (/ 1 x)) 16/841) x)) 4/29) x)) 1))) (taylor -inf x) (#s(alt (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (patch (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ -16/841 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))) (patch (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- 16/841 (* 64/24389 (/ 1 x))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))) (patch (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 16/841 (* -1 (/ (- 64/24389 (* 256/707281 (/ 1 x))) x))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))) (patch (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 16/841 (* -1 (/ (+ 64/24389 (* -1 (/ (- 256/707281 (* 1024/20511149 (/ 1 x))) x))) x))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))) (patch (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | y | @ | 0 | ((* (* y 3) (- x 4/29)) (* y 3) (- x 4/29) (+ (* 3 (* x (/ x (- x -4/29)))) (* 3 (/ -16/841 (- x -4/29)))) (* 3 (/ -16/841 (- x -4/29))) (* (+ (* 3 (* x (/ x (- x -4/29)))) (* 3 (/ -16/841 (- x -4/29)))) y) (* x (/ x (- x -4/29))) (/ -16/841 (- x -4/29))) |
| 4.0ms | x | @ | 0 | ((* (* y 3) (- x 4/29)) (* y 3) (- x 4/29) (+ (* 3 (* x (/ x (- x -4/29)))) (* 3 (/ -16/841 (- x -4/29)))) (* 3 (/ -16/841 (- x -4/29))) (* (+ (* 3 (* x (/ x (- x -4/29)))) (* 3 (/ -16/841 (- x -4/29)))) y) (* x (/ x (- x -4/29))) (/ -16/841 (- x -4/29))) |
| 2.0ms | y | @ | inf | ((* (* y 3) (- x 4/29)) (* y 3) (- x 4/29) (+ (* 3 (* x (/ x (- x -4/29)))) (* 3 (/ -16/841 (- x -4/29)))) (* 3 (/ -16/841 (- x -4/29))) (* (+ (* 3 (* x (/ x (- x -4/29)))) (* 3 (/ -16/841 (- x -4/29)))) y) (* x (/ x (- x -4/29))) (/ -16/841 (- x -4/29))) |
| 2.0ms | y | @ | -inf | ((* (* y 3) (- x 4/29)) (* y 3) (- x 4/29) (+ (* 3 (* x (/ x (- x -4/29)))) (* 3 (/ -16/841 (- x -4/29)))) (* 3 (/ -16/841 (- x -4/29))) (* (+ (* 3 (* x (/ x (- x -4/29)))) (* 3 (/ -16/841 (- x -4/29)))) y) (* x (/ x (- x -4/29))) (/ -16/841 (- x -4/29))) |
| 2.0ms | x | @ | inf | ((* (* y 3) (- x 4/29)) (* y 3) (- x 4/29) (+ (* 3 (* x (/ x (- x -4/29)))) (* 3 (/ -16/841 (- x -4/29)))) (* 3 (/ -16/841 (- x -4/29))) (* (+ (* 3 (* x (/ x (- x -4/29)))) (* 3 (/ -16/841 (- x -4/29)))) y) (* x (/ x (- x -4/29))) (/ -16/841 (- x -4/29))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 194 | 894 |
| 1 | 571 | 870 |
| 2 | 1381 | 866 |
| 3 | 3830 | 864 |
| 0 | 8320 | 792 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* y (- (* 3 (/ (pow x 2) (+ 4/29 x))) (* 48/841 (/ 1 (+ 4/29 x))))) |
(* y (- (* 3 (/ (pow x 2) (+ 4/29 x))) (* 48/841 (/ 1 (+ 4/29 x))))) |
(* y (- (* 3 (/ (pow x 2) (+ 4/29 x))) (* 48/841 (/ 1 (+ 4/29 x))))) |
(* y (- (* 3 (/ (pow x 2) (+ 4/29 x))) (* 48/841 (/ 1 (+ 4/29 x))))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* y (- (* 3 (/ (pow x 2) (+ 4/29 x))) (* 48/841 (/ 1 (+ 4/29 x))))) |
(* y (- (* 3 (/ (pow x 2) (+ 4/29 x))) (* 48/841 (/ 1 (+ 4/29 x))))) |
(* y (- (* 3 (/ (pow x 2) (+ 4/29 x))) (* 48/841 (/ 1 (+ 4/29 x))))) |
(* y (- (* 3 (/ (pow x 2) (+ 4/29 x))) (* 48/841 (/ 1 (+ 4/29 x))))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* y (- (* 3 (/ (pow x 2) (+ 4/29 x))) (* 48/841 (/ 1 (+ 4/29 x))))) |
(* y (- (* 3 (/ (pow x 2) (+ 4/29 x))) (* 48/841 (/ 1 (+ 4/29 x))))) |
(* y (- (* 3 (/ (pow x 2) (+ 4/29 x))) (* 48/841 (/ 1 (+ 4/29 x))))) |
(* y (- (* 3 (/ (pow x 2) (+ 4/29 x))) (* 48/841 (/ 1 (+ 4/29 x))))) |
(* -12/29 y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(+ (* -12/29 y) (* 3 (* x y))) |
(+ (* -12/29 y) (* 3 (* x y))) |
-4/29 |
(- x 4/29) |
(- x 4/29) |
(- x 4/29) |
-12/29 |
(- (* 3 x) 12/29) |
(- (* 3 x) 12/29) |
(- (* 3 x) 12/29) |
-12/29 |
(- (* 3 x) 12/29) |
(- (* x (+ 3 (* -87/4 x))) 12/29) |
(- (* x (+ 3 (* x (- (* 2523/16 x) 87/4)))) 12/29) |
(* -12/29 y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(+ (* -12/29 y) (* 3 (* x y))) |
(+ (* -12/29 y) (* 3 (* x y))) |
(* 29/4 (pow x 2)) |
(* (pow x 2) (+ 29/4 (* -841/16 x))) |
(* (pow x 2) (+ 29/4 (* x (- (* 24389/64 x) 841/16)))) |
(* (pow x 2) (+ 29/4 (* x (- (* x (+ 24389/64 (* -707281/256 x))) 841/16)))) |
-4/29 |
(- x 4/29) |
(- (* x (+ 1 (* -29/4 x))) 4/29) |
(- (* x (+ 1 (* x (- (* 841/16 x) 29/4)))) 4/29) |
(* 3 (* x y)) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
x |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(* 3 x) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
(/ -48/841 x) |
(/ (- (* 192/24389 (/ 1 x)) 48/841) x) |
(/ (- (* 192/24389 (/ 1 x)) (+ 48/841 (/ 768/707281 (pow x 2)))) x) |
(/ (- (+ (* 192/24389 (/ 1 x)) (* 3072/20511149 (/ 1 (pow x 3)))) (+ 48/841 (/ 768/707281 (pow x 2)))) x) |
(* 3 (* x y)) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
x |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(* x (- (+ 1 (/ 16/841 (pow x 2))) (* 4/29 (/ 1 x)))) |
(* x (- (+ 1 (/ 16/841 (pow x 2))) (+ (* 4/29 (/ 1 x)) (* 64/24389 (/ 1 (pow x 3)))))) |
(/ -16/841 x) |
(/ (- (* 64/24389 (/ 1 x)) 16/841) x) |
(/ (- (* 64/24389 (/ 1 x)) (+ 16/841 (/ 256/707281 (pow x 2)))) x) |
(/ (- (+ (* 64/24389 (/ 1 x)) (* 1024/20511149 (/ 1 (pow x 3)))) (+ 16/841 (/ 256/707281 (pow x 2)))) x) |
(* 3 (* x y)) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
x |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(* 3 x) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(/ -48/841 x) |
(* -1 (/ (- 48/841 (* 192/24389 (/ 1 x))) x)) |
(* -1 (/ (+ 48/841 (* -1 (/ (- 192/24389 (* 768/707281 (/ 1 x))) x))) x)) |
(* -1 (/ (+ 48/841 (* -1 (/ (+ 192/24389 (* -1 (/ (- 768/707281 (* 3072/20511149 (/ 1 x))) x))) x))) x)) |
(* 3 (* x y)) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
x |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* 16/841 (/ 1 x)) 4/29) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 64/24389 (/ 1 x)) 16/841) x)) 4/29) x)) 1))) |
(/ -16/841 x) |
(* -1 (/ (- 16/841 (* 64/24389 (/ 1 x))) x)) |
(* -1 (/ (+ 16/841 (* -1 (/ (- 64/24389 (* 256/707281 (/ 1 x))) x))) x)) |
(* -1 (/ (+ 16/841 (* -1 (/ (+ 64/24389 (* -1 (/ (- 256/707281 (* 1024/20511149 (/ 1 x))) x))) x))) x)) |
| Outputs |
|---|
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 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)) |
(* y (- (* 3 (/ (pow x 2) (+ 4/29 x))) (* 48/841 (/ 1 (+ 4/29 x))))) |
(*.f64 (fma.f64 (*.f64 x #s(literal 3 binary64)) (/.f64 x (+.f64 #s(literal 4/29 binary64) x)) (/.f64 #s(literal -48/841 binary64) (+.f64 #s(literal 4/29 binary64) x))) y) |
(* y (- (* 3 (/ (pow x 2) (+ 4/29 x))) (* 48/841 (/ 1 (+ 4/29 x))))) |
(*.f64 (fma.f64 (*.f64 x #s(literal 3 binary64)) (/.f64 x (+.f64 #s(literal 4/29 binary64) x)) (/.f64 #s(literal -48/841 binary64) (+.f64 #s(literal 4/29 binary64) x))) y) |
(* y (- (* 3 (/ (pow x 2) (+ 4/29 x))) (* 48/841 (/ 1 (+ 4/29 x))))) |
(*.f64 (fma.f64 (*.f64 x #s(literal 3 binary64)) (/.f64 x (+.f64 #s(literal 4/29 binary64) x)) (/.f64 #s(literal -48/841 binary64) (+.f64 #s(literal 4/29 binary64) x))) y) |
(* y (- (* 3 (/ (pow x 2) (+ 4/29 x))) (* 48/841 (/ 1 (+ 4/29 x))))) |
(*.f64 (fma.f64 (*.f64 x #s(literal 3 binary64)) (/.f64 x (+.f64 #s(literal 4/29 binary64) x)) (/.f64 #s(literal -48/841 binary64) (+.f64 #s(literal 4/29 binary64) x))) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 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)) |
(* y (- (* 3 (/ (pow x 2) (+ 4/29 x))) (* 48/841 (/ 1 (+ 4/29 x))))) |
(*.f64 (fma.f64 (*.f64 x #s(literal 3 binary64)) (/.f64 x (+.f64 #s(literal 4/29 binary64) x)) (/.f64 #s(literal -48/841 binary64) (+.f64 #s(literal 4/29 binary64) x))) y) |
(* y (- (* 3 (/ (pow x 2) (+ 4/29 x))) (* 48/841 (/ 1 (+ 4/29 x))))) |
(*.f64 (fma.f64 (*.f64 x #s(literal 3 binary64)) (/.f64 x (+.f64 #s(literal 4/29 binary64) x)) (/.f64 #s(literal -48/841 binary64) (+.f64 #s(literal 4/29 binary64) x))) y) |
(* y (- (* 3 (/ (pow x 2) (+ 4/29 x))) (* 48/841 (/ 1 (+ 4/29 x))))) |
(*.f64 (fma.f64 (*.f64 x #s(literal 3 binary64)) (/.f64 x (+.f64 #s(literal 4/29 binary64) x)) (/.f64 #s(literal -48/841 binary64) (+.f64 #s(literal 4/29 binary64) x))) y) |
(* y (- (* 3 (/ (pow x 2) (+ 4/29 x))) (* 48/841 (/ 1 (+ 4/29 x))))) |
(*.f64 (fma.f64 (*.f64 x #s(literal 3 binary64)) (/.f64 x (+.f64 #s(literal 4/29 binary64) x)) (/.f64 #s(literal -48/841 binary64) (+.f64 #s(literal 4/29 binary64) x))) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 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)) |
(* y (- (* 3 (/ (pow x 2) (+ 4/29 x))) (* 48/841 (/ 1 (+ 4/29 x))))) |
(*.f64 (fma.f64 (*.f64 x #s(literal 3 binary64)) (/.f64 x (+.f64 #s(literal 4/29 binary64) x)) (/.f64 #s(literal -48/841 binary64) (+.f64 #s(literal 4/29 binary64) x))) y) |
(* y (- (* 3 (/ (pow x 2) (+ 4/29 x))) (* 48/841 (/ 1 (+ 4/29 x))))) |
(*.f64 (fma.f64 (*.f64 x #s(literal 3 binary64)) (/.f64 x (+.f64 #s(literal 4/29 binary64) x)) (/.f64 #s(literal -48/841 binary64) (+.f64 #s(literal 4/29 binary64) x))) y) |
(* y (- (* 3 (/ (pow x 2) (+ 4/29 x))) (* 48/841 (/ 1 (+ 4/29 x))))) |
(*.f64 (fma.f64 (*.f64 x #s(literal 3 binary64)) (/.f64 x (+.f64 #s(literal 4/29 binary64) x)) (/.f64 #s(literal -48/841 binary64) (+.f64 #s(literal 4/29 binary64) x))) y) |
(* y (- (* 3 (/ (pow x 2) (+ 4/29 x))) (* 48/841 (/ 1 (+ 4/29 x))))) |
(*.f64 (fma.f64 (*.f64 x #s(literal 3 binary64)) (/.f64 x (+.f64 #s(literal 4/29 binary64) x)) (/.f64 #s(literal -48/841 binary64) (+.f64 #s(literal 4/29 binary64) x))) y) |
(* -12/29 y) |
(*.f64 #s(literal -12/29 binary64) y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
-4/29 |
#s(literal -4/29 binary64) |
(- x 4/29) |
(-.f64 x #s(literal 4/29 binary64)) |
(- x 4/29) |
(-.f64 x #s(literal 4/29 binary64)) |
(- x 4/29) |
(-.f64 x #s(literal 4/29 binary64)) |
-12/29 |
#s(literal -12/29 binary64) |
(- (* 3 x) 12/29) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(- (* 3 x) 12/29) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(- (* 3 x) 12/29) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
-12/29 |
#s(literal -12/29 binary64) |
(- (* 3 x) 12/29) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(- (* x (+ 3 (* -87/4 x))) 12/29) |
(fma.f64 (fma.f64 #s(literal -87/4 binary64) x #s(literal 3 binary64)) x #s(literal -12/29 binary64)) |
(- (* x (+ 3 (* x (- (* 2523/16 x) 87/4)))) 12/29) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 2523/16 binary64) x #s(literal -87/4 binary64)) x #s(literal 3 binary64)) x #s(literal -12/29 binary64)) |
(* -12/29 y) |
(*.f64 #s(literal -12/29 binary64) y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 29/4 (pow x 2)) |
(*.f64 #s(literal 29/4 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 29/4 (* -841/16 x))) |
(*.f64 (*.f64 (fma.f64 #s(literal -841/16 binary64) x #s(literal 29/4 binary64)) x) x) |
(* (pow x 2) (+ 29/4 (* x (- (* 24389/64 x) 841/16)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 24389/64 binary64) x #s(literal -841/16 binary64)) x #s(literal 29/4 binary64)) x) x) |
(* (pow x 2) (+ 29/4 (* x (- (* x (+ 24389/64 (* -707281/256 x))) 841/16)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -707281/256 binary64) x #s(literal 24389/64 binary64)) x #s(literal -841/16 binary64)) x #s(literal 29/4 binary64)) x) x) |
-4/29 |
#s(literal -4/29 binary64) |
(- x 4/29) |
(-.f64 x #s(literal 4/29 binary64)) |
(- (* x (+ 1 (* -29/4 x))) 4/29) |
(fma.f64 (fma.f64 #s(literal -29/4 binary64) x #s(literal 1 binary64)) x #s(literal -4/29 binary64)) |
(- (* x (+ 1 (* x (- (* 841/16 x) 29/4)))) 4/29) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 841/16 binary64) x #s(literal -29/4 binary64)) x #s(literal 1 binary64)) x #s(literal -4/29 binary64)) |
(* 3 (* x y)) |
(*.f64 (*.f64 x #s(literal 3 binary64)) y) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
x |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(-.f64 x #s(literal 4/29 binary64)) |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(-.f64 x #s(literal 4/29 binary64)) |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(-.f64 x #s(literal 4/29 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(/ -48/841 x) |
(/.f64 #s(literal -48/841 binary64) x) |
(/ (- (* 192/24389 (/ 1 x)) 48/841) x) |
(/.f64 (-.f64 (/.f64 #s(literal 192/24389 binary64) x) #s(literal 48/841 binary64)) x) |
(/ (- (* 192/24389 (/ 1 x)) (+ 48/841 (/ 768/707281 (pow x 2)))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 192/24389 binary64) (/.f64 #s(literal 768/707281 binary64) x)) x) #s(literal 48/841 binary64)) x) |
(/ (- (+ (* 192/24389 (/ 1 x)) (* 3072/20511149 (/ 1 (pow x 3)))) (+ 48/841 (/ 768/707281 (pow x 2)))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 192/24389 binary64) (/.f64 #s(literal 768/707281 binary64) x)) x) (-.f64 #s(literal 48/841 binary64) (/.f64 #s(literal 3072/20511149 binary64) (pow.f64 x #s(literal 3 binary64))))) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 x #s(literal 3 binary64)) y) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
x |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(-.f64 x #s(literal 4/29 binary64)) |
(* x (- (+ 1 (/ 16/841 (pow x 2))) (* 4/29 (/ 1 x)))) |
(fma.f64 (+.f64 (/.f64 #s(literal 16/841 binary64) (*.f64 x x)) #s(literal 1 binary64)) x #s(literal -4/29 binary64)) |
(* x (- (+ 1 (/ 16/841 (pow x 2))) (+ (* 4/29 (/ 1 x)) (* 64/24389 (/ 1 (pow x 3)))))) |
(fma.f64 (/.f64 (-.f64 #s(literal -4/29 binary64) (/.f64 (-.f64 (/.f64 #s(literal 64/24389 binary64) x) #s(literal 16/841 binary64)) x)) x) x x) |
(/ -16/841 x) |
(/.f64 #s(literal -16/841 binary64) x) |
(/ (- (* 64/24389 (/ 1 x)) 16/841) x) |
(/.f64 (-.f64 (/.f64 #s(literal 64/24389 binary64) x) #s(literal 16/841 binary64)) x) |
(/ (- (* 64/24389 (/ 1 x)) (+ 16/841 (/ 256/707281 (pow x 2)))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 64/24389 binary64) (/.f64 #s(literal 256/707281 binary64) x)) x) #s(literal 16/841 binary64)) x) |
(/ (- (+ (* 64/24389 (/ 1 x)) (* 1024/20511149 (/ 1 (pow x 3)))) (+ 16/841 (/ 256/707281 (pow x 2)))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 64/24389 binary64) (/.f64 #s(literal 256/707281 binary64) x)) x) (-.f64 #s(literal 16/841 binary64) (/.f64 #s(literal 1024/20511149 binary64) (pow.f64 x #s(literal 3 binary64))))) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 x #s(literal 3 binary64)) y) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
x |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(-.f64 x #s(literal 4/29 binary64)) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(-.f64 x #s(literal 4/29 binary64)) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(-.f64 x #s(literal 4/29 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(/ -48/841 x) |
(/.f64 #s(literal -48/841 binary64) x) |
(* -1 (/ (- 48/841 (* 192/24389 (/ 1 x))) x)) |
(/.f64 (-.f64 (/.f64 #s(literal 192/24389 binary64) x) #s(literal 48/841 binary64)) x) |
(* -1 (/ (+ 48/841 (* -1 (/ (- 192/24389 (* 768/707281 (/ 1 x))) x))) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 192/24389 binary64) (/.f64 #s(literal 768/707281 binary64) x)) x) #s(literal 48/841 binary64)) x) |
(* -1 (/ (+ 48/841 (* -1 (/ (+ 192/24389 (* -1 (/ (- 768/707281 (* 3072/20511149 (/ 1 x))) x))) x))) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 192/24389 binary64) (/.f64 (-.f64 #s(literal 768/707281 binary64) (/.f64 #s(literal 3072/20511149 binary64) x)) x)) x) #s(literal 48/841 binary64)) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 x #s(literal 3 binary64)) y) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
x |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(-.f64 x #s(literal 4/29 binary64)) |
(* -1 (* x (- (* -1 (/ (- (* 16/841 (/ 1 x)) 4/29) x)) 1))) |
(fma.f64 (+.f64 (/.f64 #s(literal 16/841 binary64) (*.f64 x x)) #s(literal 1 binary64)) x #s(literal -4/29 binary64)) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 64/24389 (/ 1 x)) 16/841) x)) 4/29) x)) 1))) |
(fma.f64 (/.f64 (-.f64 #s(literal -4/29 binary64) (/.f64 (-.f64 (/.f64 #s(literal 64/24389 binary64) x) #s(literal 16/841 binary64)) x)) x) x x) |
(/ -16/841 x) |
(/.f64 #s(literal -16/841 binary64) x) |
(* -1 (/ (- 16/841 (* 64/24389 (/ 1 x))) x)) |
(/.f64 (-.f64 (/.f64 #s(literal 64/24389 binary64) x) #s(literal 16/841 binary64)) x) |
(* -1 (/ (+ 16/841 (* -1 (/ (- 64/24389 (* 256/707281 (/ 1 x))) x))) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 64/24389 binary64) (/.f64 #s(literal 256/707281 binary64) x)) x) #s(literal 16/841 binary64)) x) |
(* -1 (/ (+ 16/841 (* -1 (/ (+ 64/24389 (* -1 (/ (- 256/707281 (* 1024/20511149 (/ 1 x))) x))) x))) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 64/24389 binary64) (/.f64 (-.f64 #s(literal 256/707281 binary64) (/.f64 #s(literal 1024/20511149 binary64) x)) x)) x) #s(literal 16/841 binary64)) x) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 70 |
| 0 | 27 | 64 |
| 1 | 95 | 64 |
| 2 | 613 | 46 |
| 0 | 8428 | 46 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64))) |
(*.f64 y #s(literal 3 binary64)) |
#s(approx (- x 4/29) #s(literal -4/29 binary64)) |
(fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) |
(*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64)))) |
(*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) y) |
(*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) |
(/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))) |
| Outputs |
|---|
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Compiled 14 007 to 1 758 computations (87.4% saved)
11 alts after pruning (1 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 551 | 1 | 552 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 1 | 2 |
| Done | 0 | 9 | 9 |
| Total | 552 | 11 | 563 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.7% | (fma.f64 (*.f64 #s(literal 3 binary64) x) y (*.f64 #s(literal -12/29 binary64) y)) |
| ✓ | 49.8% | (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) |
| ✓ | 99.7% | (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
| 59.0% | (*.f64 (fma.f64 #s(literal 3 binary64) #s(approx (* x (/ x (- x -4/29))) (-.f64 x #s(literal 4/29 binary64))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) y) | |
| ✓ | 99.6% | (*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) |
| ✓ | 49.8% | (*.f64 (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64)) |
| ✓ | 49.8% | (*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64))) |
| ✓ | 51.4% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) |
| ✓ | 49.9% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
| ✓ | 51.5% | (*.f64 #s(approx (* y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64)) |
| ✓ | 51.5% | #s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) |
Compiled 199 to 135 computations (32.2% saved)
| Inputs |
|---|
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) |
#s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) |
(*.f64 #s(approx (* y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64)) |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) |
(*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64))) |
(*.f64 (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) |
(*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) |
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (*.f64 #s(literal -12/29 binary64) y)) |
(fma.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 y x))) |
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) |
(*.f64 (fma.f64 #s(literal 3 binary64) #s(approx (* x (/ x (- x -4/29))) (-.f64 x #s(literal 4/29 binary64))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) y) |
(*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) y) |
| Outputs |
|---|
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (*.f64 #s(literal -12/29 binary64) y)) |
5 calls:
| 8.0ms | y |
| 6.0ms | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
| 5.0ms | x |
| 5.0ms | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
| 5.0ms | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | x |
| 99.7% | 1 | y |
| 99.7% | 1 | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
| 99.7% | 1 | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
| 99.7% | 1 | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
Compiled 23 to 27 computations (-17.4% saved)
| Inputs |
|---|
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) |
#s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) |
(*.f64 #s(approx (* y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64)) |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) |
(*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64))) |
(*.f64 (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) |
(*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) |
| Outputs |
|---|
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
5 calls:
| 9.0ms | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
| 4.0ms | y |
| 4.0ms | x |
| 3.0ms | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
| 3.0ms | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | x |
| 99.7% | 1 | y |
| 99.7% | 1 | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
| 99.7% | 1 | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
| 99.7% | 1 | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
Compiled 23 to 27 computations (-17.4% saved)
| Inputs |
|---|
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) |
#s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) |
(*.f64 #s(approx (* y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64)) |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) |
(*.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64))) |
(*.f64 (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64)) |
| Outputs |
|---|
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
(*.f64 #s(approx (* y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64)) |
5 calls:
| 6.0ms | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
| 5.0ms | x |
| 3.0ms | y |
| 3.0ms | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
| 3.0ms | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.0% | 3 | x |
| 60.4% | 4 | y |
| 83.2% | 3 | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
| 97.0% | 3 | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
| 97.0% | 3 | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
Compiled 23 to 27 computations (-17.4% saved)
| Inputs |
|---|
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) |
#s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) |
| Outputs |
|---|
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) |
3 calls:
| 2.0ms | x |
| 2.0ms | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
| 2.0ms | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.0% | 3 | x |
| 97.0% | 3 | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
| 97.0% | 3 | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
Compiled 13 to 16 computations (-23.1% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
| Outputs |
|---|
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
5 calls:
| 1.0ms | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
| 1.0ms | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
| 1.0ms | y |
| 1.0ms | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.9% | 1 | y |
| 49.9% | 1 | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
| 49.9% | 1 | x |
| 49.9% | 1 | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
| 49.9% | 1 | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
Compiled 23 to 27 computations (-17.4% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.13791925788056514 | 794253.8828978501 |
| 0.0ms | -152.7624618546328 | -0.20211741586980914 |
Compiled 12 to 14 computations (-16.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.13791925788056514 | 794253.8828978501 |
| 0.0ms | -152.7624618546328 | -0.20211741586980914 |
Compiled 12 to 14 computations (-16.7% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 123 |
| 1 | 45 | 123 |
| 2 | 54 | 123 |
| 3 | 60 | 123 |
| 4 | 65 | 123 |
| 5 | 67 | 123 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (*.f64 #s(literal -12/29 binary64) y)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -100 binary64)) #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) (if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) (*.f64 #s(approx (* y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64)))) |
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -100 binary64)) #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) (if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)))) |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
| Outputs |
|---|
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (*.f64 #s(literal -12/29 binary64) y)) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (*.f64 #s(literal -12/29 binary64) y)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -100 binary64)) #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) (if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) (*.f64 #s(approx (* y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64)))) |
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -100 binary64)) #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) (if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) (*.f64 #s(approx (* y (- x 4/29)) (*.f64 y x)) #s(literal 3 binary64)))) |
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -100 binary64)) #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) (if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)))) |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 242 |
| 1 | 112 | 242 |
| 2 | 290 | 242 |
| 3 | 614 | 242 |
| 4 | 1570 | 242 |
| 5 | 2670 | 242 |
| 6 | 3756 | 242 |
| 7 | 4250 | 242 |
| 8 | 4425 | 242 |
| 9 | 4445 | 242 |
| 10 | 4459 | 242 |
| 11 | 5193 | 242 |
| 12 | 5573 | 242 |
| 13 | 5799 | 242 |
| 14 | 6250 | 242 |
| 15 | 6612 | 242 |
| 16 | 6618 | 242 |
| 17 | 6630 | 242 |
| 18 | 6630 | 242 |
| 0 | 8644 | 212 |
| 0 | 112 | 1320 |
| 1 | 289 | 1320 |
| 2 | 698 | 1320 |
| 3 | 1365 | 1320 |
| 4 | 3567 | 1312 |
| 5 | 5928 | 1312 |
| 0 | 8045 | 1174 |
| 0 | 9 | 16 |
| 0 | 14 | 16 |
| 1 | 35 | 16 |
| 2 | 164 | 16 |
| 3 | 1263 | 16 |
| 0 | 8918 | 14 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 163 to 96 computations (41.1% saved)
(negabs y)
Compiled 228 to 118 computations (48.2% saved)
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