
Time bar (total: 6.4s)
| 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)
| 795.0ms | 8 256× | 0 | valid |
ival-mult: 239.0ms (58.5% of total)ival-div: 115.0ms (28.1% of total)ival-sub: 38.0ms (9.3% of total)exact: 10.0ms (2.4% of total)ival-true: 5.0ms (1.2% of total)ival-assert: 3.0ms (0.7% 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 |
| 26.0ms | 464× | 0 | valid |
| 3.0ms | 22× | 2 | valid |
| 3.0ms | 26× | 1 | valid |
Compiled 100 to 40 computations (60% saved)
ival-mult: 7.0ms (41.9% of total)ival-div: 5.0ms (29.9% of total)ival-sub: 3.0ms (18% of total)adjust: 1.0ms (6% of total)exact: 1.0ms (6% of total)ival-assert: 0.0ms (0% of total)ival-true: 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 | 0.10546875 | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) | |
| accuracy | 0.140625 | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
| 13.0ms | 232× | 0 | valid |
| 2.0ms | 11× | 2 | valid |
| 1.0ms | 13× | 1 | valid |
Compiled 60 to 20 computations (66.7% saved)
ival-mult: 3.0ms (37.1% of total)ival-div: 2.0ms (24.7% of total)ival-sub: 1.0ms (12.4% 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 | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | ((/ 16 116) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (- x (/ 16 116))) |
| 1.0ms | y | @ | 0 | ((/ 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 | 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× | 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 |
|---|---|---|
| 99.5% | (fma.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 y x))) | |
| ▶ | 99.4% | (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) |
| ▶ | 99.8% | (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
| 79.4% | (*.f64 (/.f64 y (-.f64 x #s(literal -4/29 binary64))) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) | |
| ▶ | 99.6% | (*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
| 99.6% | (*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) | |
| ▶ | 53.5% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) |
| ▶ | 48.2% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
| 53.5% | #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) |
Compiled 132 to 126 computations (4.5% saved)
| 1× | egg-herbie |
Found 13 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 y #s(literal 3 binary64)) | |
| cost-diff | 0 | (-.f64 x #s(literal 4/29 binary64)) | |
| cost-diff | 128 | (*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #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 | (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: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 98 |
| 0 | 36 | 95 |
| 1 | 56 | 91 |
| 2 | 79 | 90 |
| 3 | 120 | 90 |
| 4 | 160 | 90 |
| 5 | 175 | 90 |
| 6 | 187 | 90 |
| 7 | 200 | 90 |
| 8 | 209 | 90 |
| 9 | 214 | 90 |
| 0 | 214 | 90 |
| 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 |
(*.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 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
(-.f64 x #s(literal 4/29 binary64)) |
x |
#s(literal 4/29 binary64) |
(*.f64 y #s(literal 3 binary64)) |
y |
#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 |
|---|
(*.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 |
(*.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) |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y) |
#s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) |
#s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) |
(*.f64 x #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) x) |
x |
#s(literal 3 binary64) |
y |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) |
(-.f64 x #s(literal 4/29 binary64)) |
x |
#s(literal 4/29 binary64) |
(*.f64 y #s(literal 3 binary64)) |
y |
#s(literal 3 binary64) |
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) |
(*.f64 y (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))) |
(/.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)) |
#s(literal 3 binary64) |
x |
#s(literal -12/29 binary64) |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) | |
| accuracy | 0.16796875 | (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) | |
| accuracy | 0.31640625 | (/.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 | (*.f64 y #s(literal 3 binary64)) | |
| accuracy | 0.26953125 | (*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) | |
| accuracy | 0 | (*.f64 x #s(literal 3 binary64)) | |
| accuracy | 0.140625 | (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) | |
| accuracy | 29.941898389306957 | #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) | |
| accuracy | 0.140625 | (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) | |
| accuracy | 33.32856284750948 | #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) | |
| accuracy | 0.00390625 | (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) | |
| accuracy | 0.140625 | (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
| 47.0ms | 232× | 0 | valid |
| 5.0ms | 13× | 1 | valid |
| 5.0ms | 11× | 2 | valid |
Compiled 179 to 43 computations (76% saved)
ival-mult: 11.0ms (30.6% of total)const: 10.0ms (27.8% of total)ival-div: 6.0ms (16.7% of total)ival-add: 5.0ms (13.9% of total)ival-sub: 2.0ms (5.6% of total)adjust: 1.0ms (2.8% 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 (*.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 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) (patch (*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 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 #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 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 (*.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 (* 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 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) (patch (*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) (patch (*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) (patch (*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) (patch (*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 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 (*.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 (* 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>) () ())) ()) |
#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>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor inf 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 inf 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 inf 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 inf 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 inf y) (#s(alt (*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) (patch (*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) (patch (*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
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#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 | @ | -inf | ((* (+ (* x 3) -12/29) y) (+ (* x 3) -12/29) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* x 3) (* (- x 4/29) (* y 3)) (- x 4/29) (* y 3) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (+ (* 3 x) -12/29)) |
| 2.0ms | y | @ | 0 | ((* (+ (* x 3) -12/29) y) (+ (* x 3) -12/29) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* x 3) (* (- x 4/29) (* y 3)) (- x 4/29) (* y 3) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (+ (* 3 x) -12/29)) |
| 1.0ms | y | @ | -inf | ((* (+ (* x 3) -12/29) y) (+ (* x 3) -12/29) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* x 3) (* (- x 4/29) (* y 3)) (- x 4/29) (* y 3) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (+ (* 3 x) -12/29)) |
| 1.0ms | x | @ | inf | ((* (+ (* x 3) -12/29) y) (+ (* x 3) -12/29) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* x 3) (* (- x 4/29) (* y 3)) (- x 4/29) (* y 3) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (+ (* 3 x) -12/29)) |
| 1.0ms | y | @ | inf | ((* (+ (* x 3) -12/29) y) (+ (* x 3) -12/29) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* x 3) (* (- x 4/29) (* y 3)) (- x 4/29) (* y 3) (/ 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 | 98 | 1222 |
| 1 | 235 | 1222 |
| 2 | 535 | 1222 |
| 3 | 1094 | 1222 |
| 4 | 2893 | 1214 |
| 5 | 5278 | 1214 |
| 0 | 8138 | 1067 |
| 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)) |
(* 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))) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 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 (* 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))) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 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 (* 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))) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 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))) |
-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 |
(- 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) |
(* 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 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 |
(* 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) |
(* -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 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 |
(* -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) |
(* 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) |
(* 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) |
(* 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 (* 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) |
(* 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) |
(* 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 (* 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) |
(* 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) |
(* 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) |
(*.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) |
-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) |
-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) |
-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)) |
(* 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)) |
(* -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 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) |
-29/12 |
#s(literal -29/12 binary64) |
(- (* -841/48 x) 29/12) |
(fma.f64 #s(literal -841/48 binary64) x #s(literal -29/12 binary64)) |
(- (* x (- (* -24389/192 x) 841/48)) 29/12) |
(fma.f64 (fma.f64 #s(literal -24389/192 binary64) x #s(literal -841/48 binary64)) x #s(literal -29/12 binary64)) |
(- (* x (- (* x (- (* -707281/768 x) 24389/192)) 841/48)) 29/12) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -707281/768 binary64) x #s(literal -24389/192 binary64)) x #s(literal -841/48 binary64)) x #s(literal -29/12 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)) |
(* 3 (* x y)) |
(*.f64 (*.f64 x y) #s(literal 3 binary64)) |
(* 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) |
(* 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 x y) #s(literal 3 binary64)) |
(* 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) |
(* 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 x y) #s(literal 3 binary64)) |
(* 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) |
(* 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) |
(*.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 x y) #s(literal 3 binary64)) |
(* 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 y)) |
(*.f64 (*.f64 x y) #s(literal 3 binary64)) |
(* 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) |
(/ 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) |
(/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (* 4/87 (/ 1 x)))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 16/2523 binary64) x) #s(literal -4/87 binary64)) x) #s(literal -1/3 binary64)) x) |
(/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (+ (* 4/87 (/ 1 x)) (* 64/73167 (/ 1 (pow x 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)) |
(* 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 x y) #s(literal 3 binary64)) |
(* -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 y)) |
(*.f64 (*.f64 x y) #s(literal 3 binary64)) |
(* -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 y)) |
(*.f64 (*.f64 x y) #s(literal 3 binary64)) |
(* -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 x y) #s(literal 3 binary64)) |
(* -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 y)) |
(*.f64 (*.f64 x y) #s(literal 3 binary64)) |
(* -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 | 24 | 80 |
| 0 | 36 | 77 |
| 1 | 112 | 73 |
| 2 | 472 | 72 |
| 3 | 4173 | 72 |
| 0 | 8499 | 72 |
| 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)) |
(*.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 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
(-.f64 x #s(literal 4/29 binary64)) |
(*.f64 y #s(literal 3 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 |
|---|
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
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#<batchref> |
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#<batchref> |
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#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
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#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
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Compiled 24 935 to 2 292 computations (90.8% saved)
10 alts after pruning (6 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 510 | 4 | 1 514 |
| Fresh | 2 | 2 | 4 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 513 | 10 | 1 523 |
| Status | Accuracy | Program |
|---|---|---|
| 53.4% | (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) | |
| ▶ | 47.9% | (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) |
| ✓ | 99.8% | (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
| ▶ | 79.4% | (*.f64 (/.f64 y (-.f64 x #s(literal -4/29 binary64))) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) |
| ✓ | 99.6% | (*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
| ▶ | 48.1% | (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
| ✓ | 53.5% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) |
| ✓ | 48.2% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
| ▶ | 53.5% | #s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 x y) #s(literal 3 binary64))) |
| ▶ | 53.5% | #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) |
Compiled 103 to 104 computations (-1% saved)
| 1× | egg-herbie |
Found 15 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 | (*.f64 y #s(literal 3 binary64)) | |
| cost-diff | 0 | #s(approx (- x 4/29) #s(literal -4/29 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64))) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | (*.f64 (*.f64 x y) #s(literal 3 binary64)) | |
| cost-diff | 0 | #s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 x y) #s(literal 3 binary64))) | |
| cost-diff | 0 | (*.f64 y #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 y #s(literal 3 binary64)) x) | |
| cost-diff | 0 | #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) | |
| cost-diff | 0 | (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 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))) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 127 |
| 0 | 46 | 125 |
| 1 | 76 | 125 |
| 2 | 137 | 121 |
| 3 | 281 | 121 |
| 4 | 416 | 121 |
| 5 | 542 | 121 |
| 6 | 629 | 121 |
| 7 | 716 | 121 |
| 8 | 777 | 121 |
| 9 | 939 | 121 |
| 10 | 996 | 121 |
| 11 | 1028 | 121 |
| 12 | 1076 | 121 |
| 13 | 1150 | 121 |
| 14 | 1150 | 121 |
| 15 | 1156 | 121 |
| 16 | 1156 | 121 |
| 0 | 1156 | 118 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 y (-.f64 x #s(literal -4/29 binary64))) (*.f64 (fma.f64 x x #s(literal -16/841 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) |
(*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) |
(fma.f64 x x #s(literal -16/841 binary64)) |
#s(literal -16/841 binary64) |
#s(literal 3 binary64) |
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) |
(*.f64 (*.f64 y #s(literal 3 binary64)) x) |
(*.f64 y #s(literal 3 binary64)) |
y |
#s(literal 3 binary64) |
x |
#s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 x y) #s(literal 3 binary64))) |
(*.f64 (*.f64 x y) #s(literal 3 binary64)) |
(*.f64 x y) |
x |
y |
#s(literal 3 binary64) |
(*.f64 #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)) |
#s(literal -4/29 binary64) |
(*.f64 y #s(literal 3 binary64)) |
y |
#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 (/.f64 y (-.f64 x #s(literal -4/29 binary64))) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) |
(/.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) (fma.f64 #s(literal 1/3 binary64) x #s(literal 4/87 binary64))) |
(/.f64 y (-.f64 x #s(literal -4/29 binary64))) |
y |
(-.f64 x #s(literal -4/29 binary64)) |
x |
#s(literal -4/29 binary64) |
(*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) (fma.f64 x x #s(literal -16/841 binary64))) |
(fma.f64 x x #s(literal -16/841 binary64)) |
#s(literal -16/841 binary64) |
#s(literal 3 binary64) |
#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 (*.f64 y #s(literal 3 binary64)) x) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(*.f64 y #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) y) |
y |
#s(literal 3 binary64) |
x |
#s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 x y) #s(literal 3 binary64))) |
#s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) |
(*.f64 (*.f64 x y) #s(literal 3 binary64)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(*.f64 x y) |
x |
y |
#s(literal 3 binary64) |
(*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
(*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) #s(literal 3 binary64)) y) |
#s(approx (- x 4/29) #s(literal -4/29 binary64)) |
#s(literal -4/29 binary64) |
(*.f64 y #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) y) |
y |
#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 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.31640625 | (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) | |
| accuracy | 33.09994265661055 | #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) | |
| accuracy | 0 | (*.f64 y #s(literal 3 binary64)) | |
| accuracy | 0.26953125 | (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64))) | |
| accuracy | 33.31885992873836 | #s(approx (- x 4/29) #s(literal -4/29 binary64)) | |
| accuracy | 0 | (*.f64 x y) | |
| accuracy | 0.24609375 | (*.f64 (*.f64 x y) #s(literal 3 binary64)) | |
| accuracy | 29.648848707112894 | #s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 x y) #s(literal 3 binary64))) | |
| accuracy | 0 | (*.f64 y #s(literal 3 binary64)) | |
| accuracy | 0.19921875 | (*.f64 (*.f64 y #s(literal 3 binary64)) x) | |
| accuracy | 29.648848707112894 | #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) | |
| accuracy | 0.01171875 | (fma.f64 x x #s(literal -16/841 binary64)) | |
| accuracy | 0.046875 | (/.f64 y (-.f64 x #s(literal -4/29 binary64))) | |
| accuracy | 0.53515625 | (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) | |
| accuracy | 12.934203838447653 | (*.f64 (/.f64 y (-.f64 x #s(literal -4/29 binary64))) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) |
| 83.0ms | 253× | 0 | valid |
| 1.0ms | 2× | 2 | valid |
| 0.0ms | 1× | 1 | valid |
Compiled 205 to 54 computations (73.7% saved)
ival-div: 24.0ms (35.6% of total)ival-mult: 20.0ms (29.6% of total)const: 17.0ms (25.2% of total)ival-sub: 4.0ms (5.9% of total)ival-add: 2.0ms (3% 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 (/.f64 y (-.f64 x #s(literal -4/29 binary64))) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) (patch (*.f64 (/.f64 y (-.f64 x #s(literal -4/29 binary64))) (*.f64 (fma.f64 x x #s(literal -16/841 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 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) (patch (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 y #s(literal 3 binary64)) x) (patch (*.f64 (*.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ()) |
#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 x y) #s(literal 3 binary64))) (patch #s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 x y) #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64))) (patch (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.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 (/.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>) () ()) |
#s(alt (fma.f64 x x #s(literal -16/841 binary64)) (patch (fma.f64 x x #s(literal -16/841 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) (taylor 0 y) (#s(alt (*.f64 (/.f64 y (-.f64 x #s(literal -4/29 binary64))) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) (patch (*.f64 (/.f64 y (-.f64 x #s(literal -4/29 binary64))) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) (taylor 0 y) (#s(alt (*.f64 (/.f64 y (-.f64 x #s(literal -4/29 binary64))) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) (patch (*.f64 (/.f64 y (-.f64 x #s(literal -4/29 binary64))) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) (taylor 0 y) (#s(alt (*.f64 (/.f64 y (-.f64 x #s(literal -4/29 binary64))) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) (patch (*.f64 (/.f64 y (-.f64 x #s(literal -4/29 binary64))) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) (taylor 0 y) (#s(alt (*.f64 (/.f64 y (-.f64 x #s(literal -4/29 binary64))) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) (patch (*.f64 (/.f64 y (-.f64 x #s(literal -4/29 binary64))) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ y (+ 4/29 x)) (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 (+ 4/29 x)) (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 (+ 4/29 x)) (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 (+ 4/29 x)) (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 (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 y #s(literal 3 binary64)) x) (patch (*.f64 (*.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 y #s(literal 3 binary64)) x) (patch (*.f64 (*.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 y #s(literal 3 binary64)) x) (patch (*.f64 (*.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 y #s(literal 3 binary64)) x) (patch (*.f64 (*.f64 y #s(literal 3 binary64)) x) #<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 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64))) (patch (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64))) (patch (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64))) (patch (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 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>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -16/841 binary64)) (patch (fma.f64 x x #s(literal -16/841 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -16/841 binary64)) (patch (fma.f64 x x #s(literal -16/841 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -16/841 binary64)) (patch (fma.f64 x x #s(literal -16/841 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -16/841 binary64)) (patch (fma.f64 x x #s(literal -16/841 binary64)) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | -inf | ((* (/ y (- x -4/29)) (* (+ (* x x) -16/841) 3)) (/ y (- x -4/29)) (- x -4/29) (* (+ (* x x) -16/841) 3) (* (* (- x (/ 16 116)) 3) y) (* (* y 3) x) (* y 3) (/ y (/ 1 (+ (* 3 x) -12/29))) (* (* x y) 3) (* x y) (* (- x 4/29) (* y 3)) (- x 4/29) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (+ (* x x) -16/841)) |
| 3.0ms | y | @ | 0 | ((* (/ y (- x -4/29)) (* (+ (* x x) -16/841) 3)) (/ y (- x -4/29)) (- x -4/29) (* (+ (* x x) -16/841) 3) (* (* (- x (/ 16 116)) 3) y) (* (* y 3) x) (* y 3) (/ y (/ 1 (+ (* 3 x) -12/29))) (* (* x y) 3) (* x y) (* (- x 4/29) (* y 3)) (- x 4/29) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (+ (* x x) -16/841)) |
| 3.0ms | y | @ | -inf | ((* (/ y (- x -4/29)) (* (+ (* x x) -16/841) 3)) (/ y (- x -4/29)) (- x -4/29) (* (+ (* x x) -16/841) 3) (* (* (- x (/ 16 116)) 3) y) (* (* y 3) x) (* y 3) (/ y (/ 1 (+ (* 3 x) -12/29))) (* (* x y) 3) (* x y) (* (- x 4/29) (* y 3)) (- x 4/29) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (+ (* x x) -16/841)) |
| 2.0ms | y | @ | inf | ((* (/ y (- x -4/29)) (* (+ (* x x) -16/841) 3)) (/ y (- x -4/29)) (- x -4/29) (* (+ (* x x) -16/841) 3) (* (* (- x (/ 16 116)) 3) y) (* (* y 3) x) (* y 3) (/ y (/ 1 (+ (* 3 x) -12/29))) (* (* x y) 3) (* x y) (* (- x 4/29) (* y 3)) (- x 4/29) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (+ (* x x) -16/841)) |
| 2.0ms | x | @ | inf | ((* (/ y (- x -4/29)) (* (+ (* x x) -16/841) 3)) (/ y (- x -4/29)) (- x -4/29) (* (+ (* x x) -16/841) 3) (* (* (- x (/ 16 116)) 3) y) (* (* y 3) x) (* y 3) (/ y (/ 1 (+ (* 3 x) -12/29))) (* (* x y) 3) (* x y) (* (- x 4/29) (* y 3)) (- x 4/29) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (+ (* x x) -16/841)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 175 | 1734 |
| 1 | 455 | 1724 |
| 2 | 1068 | 1711 |
| 3 | 2948 | 1696 |
| 4 | 7198 | 1696 |
| 0 | 8173 | 1555 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) |
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) |
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) |
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) |
(/ y (+ 4/29 x)) |
(/ y (+ 4/29 x)) |
(/ y (+ 4/29 x)) |
(/ y (+ 4/29 x)) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 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)) |
(* 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 (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) |
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) |
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) |
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) |
(/ y (+ 4/29 x)) |
(/ y (+ 4/29 x)) |
(/ y (+ 4/29 x)) |
(/ y (+ 4/29 x)) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 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)) |
(* 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 (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) |
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) |
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) |
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) |
(/ y (+ 4/29 x)) |
(/ y (+ 4/29 x)) |
(/ y (+ 4/29 x)) |
(/ y (+ 4/29 x)) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 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)) |
(* 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 (- (* 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))) |
(* 29/4 y) |
(+ (* -841/16 (* x y)) (* 29/4 y)) |
(+ (* 29/4 y) (* x (- (* 24389/64 (* x y)) (* 841/16 y)))) |
(+ (* 29/4 y) (* x (- (* x (- (* -707281/256 (* x y)) (* -24389/64 y))) (* 841/16 y)))) |
4/29 |
(+ 4/29 x) |
(+ 4/29 x) |
(+ 4/29 x) |
-48/841 |
(- (* 3 (pow x 2)) 48/841) |
(- (* 3 (pow x 2)) 48/841) |
(- (* 3 (pow x 2)) 48/841) |
(* -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))) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* 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 |
(- 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) |
-16/841 |
(- (pow x 2) 16/841) |
(- (pow x 2) 16/841) |
(- (pow x 2) 16/841) |
(* 3 (* x y)) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(/ y x) |
(/ (+ y (* -4/29 (/ y x))) x) |
(/ (- (+ y (* 16/841 (/ y (pow x 2)))) (* 4/29 (/ y x))) x) |
(/ (- (+ y (* -64/24389 (/ y (pow x 3)))) (+ (* -16/841 (/ y (pow x 2))) (* 4/29 (/ y x)))) x) |
x |
(* x (+ 1 (* 4/29 (/ 1 x)))) |
(* x (+ 1 (* 4/29 (/ 1 x)))) |
(* x (+ 1 (* 4/29 (/ 1 x)))) |
(* 3 (pow x 2)) |
(* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2))))) |
(* 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))) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 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 |
(* 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) |
(pow x 2) |
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2))))) |
(* 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))))) |
(/ y x) |
(* -1 (/ (+ (* -1 y) (* 4/29 (/ y x))) x)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* 16/841 (/ y x)) (* 4/29 y)) x))) x)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (* 64/24389 (/ y x)) (* 16/841 y)) x)) (* 4/29 y)) x))) x)) |
x |
(* x (+ 1 (* 4/29 (/ 1 x)))) |
(* x (+ 1 (* 4/29 (/ 1 x)))) |
(* x (+ 1 (* 4/29 (/ 1 x)))) |
(* 3 (pow x 2)) |
(* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2))))) |
(* 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))))) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 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 |
(* -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)) |
(pow x 2) |
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2))))) |
| Outputs |
|---|
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) |
(*.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) (/.f64 y (+.f64 #s(literal 4/29 binary64) x))) |
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) |
(*.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) (/.f64 y (+.f64 #s(literal 4/29 binary64) x))) |
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) |
(*.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) (/.f64 y (+.f64 #s(literal 4/29 binary64) x))) |
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) |
(*.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) (/.f64 y (+.f64 #s(literal 4/29 binary64) x))) |
(/ y (+ 4/29 x)) |
(/.f64 y (+.f64 #s(literal 4/29 binary64) x)) |
(/ y (+ 4/29 x)) |
(/.f64 y (+.f64 #s(literal 4/29 binary64) x)) |
(/ y (+ 4/29 x)) |
(/.f64 y (+.f64 #s(literal 4/29 binary64) x)) |
(/ y (+ 4/29 x)) |
(/.f64 y (+.f64 #s(literal 4/29 binary64) x)) |
(* 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 (* x y)) |
(*.f64 (*.f64 x #s(literal 3 binary64)) y) |
(* 3 (* x y)) |
(*.f64 (*.f64 x #s(literal 3 binary64)) y) |
(* 3 (* x y)) |
(*.f64 (*.f64 x #s(literal 3 binary64)) y) |
(* 3 (* x y)) |
(*.f64 (*.f64 x #s(literal 3 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 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)) |
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(*.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) |
(/ 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) |
(/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (* 4/87 (/ 1 x)))) x) |
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 16/2523 binary64) x) #s(literal 4/87 binary64)) x) #s(literal -1/3 binary64)) x) |
(/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (+ (* 4/87 (/ 1 x)) (* 64/73167 (/ 1 (pow x 3)))))) x) |
(/.f64 (-.f64 (/.f64 #s(literal 64/73167 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16/2523 binary64) x) #s(literal 4/87 binary64)) x))) x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2))))) |
(fma.f64 x x #s(literal -16/841 binary64)) |
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2))))) |
(fma.f64 x x #s(literal -16/841 binary64)) |
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2))))) |
(fma.f64 x x #s(literal -16/841 binary64)) |
(* 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) |
(/ y x) |
(/.f64 y x) |
(* -1 (/ (+ (* -1 y) (* 4/29 (/ y x))) x)) |
(/.f64 (fma.f64 (/.f64 y x) #s(literal -4/29 binary64) y) x) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* 16/841 (/ y x)) (* 4/29 y)) x))) x)) |
(/.f64 (fma.f64 (/.f64 y x) (-.f64 (/.f64 #s(literal 16/841 binary64) x) #s(literal 4/29 binary64)) y) x) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (* 64/24389 (/ y x)) (* 16/841 y)) x)) (* 4/29 y)) x))) x)) |
(/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -4/29 binary64) y (/.f64 (*.f64 y (-.f64 (/.f64 #s(literal -64/24389 binary64) x) #s(literal -16/841 binary64))) x)) x) y) x) |
x |
(* x (+ 1 (* 4/29 (/ 1 x)))) |
(+.f64 #s(literal 4/29 binary64) x) |
(* x (+ 1 (* 4/29 (/ 1 x)))) |
(+.f64 #s(literal 4/29 binary64) x) |
(* x (+ 1 (* 4/29 (/ 1 x)))) |
(+.f64 #s(literal 4/29 binary64) x) |
(* 3 (pow x 2)) |
(*.f64 (*.f64 x #s(literal 3 binary64)) x) |
(* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) |
(* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) |
(* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) |
(* 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) |
(* 3 (* x y)) |
(*.f64 (*.f64 x #s(literal 3 binary64)) y) |
(* 3 (* x y)) |
(*.f64 (*.f64 x #s(literal 3 binary64)) y) |
(* 3 (* x y)) |
(*.f64 (*.f64 x #s(literal 3 binary64)) y) |
(* 3 (* x y)) |
(*.f64 (*.f64 x #s(literal 3 binary64)) y) |
(* 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) |
(* 3 (* x y)) |
(*.f64 (*.f64 x #s(literal 3 binary64)) y) |
(* 3 (* x y)) |
(*.f64 (*.f64 x #s(literal 3 binary64)) y) |
(* 3 (* x y)) |
(*.f64 (*.f64 x #s(literal 3 binary64)) y) |
(* 3 (* x y)) |
(*.f64 (*.f64 x #s(literal 3 binary64)) y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* 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 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) |
(/ 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 64/73167 binary64) (*.f64 x x)) #s(literal 4/87 binary64)) (/.f64 #s(literal -16/2523 binary64) x)) x) #s(literal -1/3 binary64)) x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2))))) |
(fma.f64 x x #s(literal -16/841 binary64)) |
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2))))) |
(fma.f64 x x #s(literal -16/841 binary64)) |
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2))))) |
(fma.f64 x x #s(literal -16/841 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 108 |
| 0 | 46 | 106 |
| 1 | 154 | 101 |
| 2 | 830 | 97 |
| 0 | 8760 | 94 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 y (-.f64 x #s(literal -4/29 binary64))) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) |
(/.f64 y (-.f64 x #s(literal -4/29 binary64))) |
(-.f64 x #s(literal -4/29 binary64)) |
(*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) |
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) |
(*.f64 (*.f64 y #s(literal 3 binary64)) x) |
(*.f64 y #s(literal 3 binary64)) |
#s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 x y) #s(literal 3 binary64))) |
(*.f64 (*.f64 x y) #s(literal 3 binary64)) |
(*.f64 x y) |
(*.f64 #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)) |
(/.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)) |
(fma.f64 x x #s(literal -16/841 binary64)) |
| Outputs |
|---|
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Compiled 19 323 to 2 423 computations (87.5% saved)
11 alts after pruning (3 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 135 | 2 | 1 137 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 136 | 11 | 1 147 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 53.4% | (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) |
| ✓ | 47.9% | (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) |
| ✓ | 99.8% | (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
| ✓ | 99.6% | (*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
| ▶ | 48.1% | (*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) |
| ▶ | 33.0% | (*.f64 #s(approx (/ y (- x -4/29)) (/.f64 y x)) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) |
| ✓ | 48.1% | (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
| ✓ | 53.5% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) |
| ✓ | 48.2% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
| ✓ | 53.5% | #s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 x y) #s(literal 3 binary64))) |
| ✓ | 53.5% | #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) |
Compiled 68 to 70 computations (-2.9% saved)
| 1× | egg-herbie |
Found 10 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 1/3 binary64) x) | |
| cost-diff | 0 | #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x)) | |
| cost-diff | 0 | (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) | |
| cost-diff | 0 | #s(approx (- x 4/29) #s(literal -4/29 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) | |
| cost-diff | 0 | (/.f64 y x) | |
| cost-diff | 0 | #s(approx (/ y (- x -4/29)) (/.f64 y x)) | |
| cost-diff | 0 | (*.f64 #s(approx (/ y (- x -4/29)) (/.f64 y x)) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 96 |
| 0 | 35 | 96 |
| 1 | 52 | 96 |
| 2 | 85 | 96 |
| 3 | 137 | 96 |
| 4 | 156 | 96 |
| 5 | 157 | 96 |
| 0 | 157 | 94 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(approx (/ y (- x -4/29)) (/.f64 y x)) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) |
#s(approx (/ y (- x -4/29)) (/.f64 y x)) |
(/.f64 y x) |
y |
x |
(*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) |
(fma.f64 x x #s(literal -16/841 binary64)) |
#s(literal -16/841 binary64) |
#s(literal 3 binary64) |
(*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) |
(*.f64 #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) |
y |
#s(literal 3 binary64) |
(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) |
y |
#s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x)) |
(/.f64 #s(literal 1/3 binary64) x) |
#s(literal 1/3 binary64) |
x |
| Outputs |
|---|
(*.f64 #s(approx (/ y (- x -4/29)) (/.f64 y x)) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) |
(*.f64 (*.f64 #s(literal 3 binary64) (fma.f64 x x #s(literal -16/841 binary64))) #s(approx (/ y (- x -4/29)) (/.f64 y x))) |
#s(approx (/ y (- x -4/29)) (/.f64 y x)) |
(/.f64 y x) |
y |
x |
(*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) (fma.f64 x x #s(literal -16/841 binary64))) |
(fma.f64 x x #s(literal -16/841 binary64)) |
#s(literal -16/841 binary64) |
#s(literal 3 binary64) |
(*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) |
(*.f64 #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) |
y |
#s(literal 3 binary64) |
(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) |
y |
#s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x)) |
(/.f64 #s(literal 1/3 binary64) x) |
#s(literal 1/3 binary64) |
x |
Found 10 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.31640625 | (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) | |
| accuracy | 0.359375 | (/.f64 #s(literal 1/3 binary64) x) | |
| accuracy | 30.040341345571473 | #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x)) | |
| accuracy | 0.06640625 | (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) | |
| accuracy | 0.2890625 | (*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) | |
| accuracy | 33.31885992873836 | #s(approx (- x 4/29) #s(literal -4/29 binary64)) | |
| accuracy | 0.01171875 | (fma.f64 x x #s(literal -16/841 binary64)) | |
| accuracy | 0.53515625 | (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) | |
| accuracy | 12.934203838447653 | (*.f64 #s(approx (/ y (- x -4/29)) (/.f64 y x)) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) | |
| accuracy | 29.95036473268914 | #s(approx (/ y (- x -4/29)) (/.f64 y x)) |
| 55.0ms | 253× | 0 | valid |
| 1.0ms | 2× | 2 | valid |
| 0.0ms | 1× | 1 | valid |
Compiled 142 to 43 computations (69.7% saved)
const: 17.0ms (39.2% of total)ival-mult: 12.0ms (27.7% of total)ival-div: 8.0ms (18.5% of total)ival-sub: 3.0ms (6.9% of total)ival-add: 2.0ms (4.6% 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(approx (/ y (- x -4/29)) (/.f64 y x)) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) (patch (*.f64 #s(approx (/ y (- x -4/29)) (/.f64 y x)) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ y (- x -4/29)) (/.f64 y x)) (patch #s(approx (/ y (- x -4/29)) (/.f64 y x)) #<representation binary64>) () ()) |
#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) (patch (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) (patch (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #<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)) (/.f64 #s(literal 1/3 binary64) x))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x)) (patch #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1/3 binary64) x) (patch (/.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 x x #s(literal -16/841 binary64)) (patch (fma.f64 x x #s(literal -16/841 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) (taylor 0 y) (#s(alt (*.f64 #s(approx (/ y (- x -4/29)) (/.f64 y x)) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) (patch (*.f64 #s(approx (/ y (- x -4/29)) (/.f64 y x)) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) (taylor 0 y) (#s(alt (*.f64 #s(approx (/ y (- x -4/29)) (/.f64 y x)) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) (patch (*.f64 #s(approx (/ y (- x -4/29)) (/.f64 y x)) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) (taylor 0 y) (#s(alt (*.f64 #s(approx (/ y (- x -4/29)) (/.f64 y x)) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) (patch (*.f64 #s(approx (/ y (- x -4/29)) (/.f64 y x)) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) (taylor 0 y) (#s(alt (*.f64 #s(approx (/ y (- x -4/29)) (/.f64 y x)) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) (patch (*.f64 #s(approx (/ y (- x -4/29)) (/.f64 y x)) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ y (+ 4/29 x)) (taylor 0 y) (#s(alt #s(approx (/ y (- x -4/29)) (/.f64 y x)) (patch #s(approx (/ y (- x -4/29)) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ y (+ 4/29 x)) (taylor 0 y) (#s(alt #s(approx (/ y (- x -4/29)) (/.f64 y x)) (patch #s(approx (/ y (- x -4/29)) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ y (+ 4/29 x)) (taylor 0 y) (#s(alt #s(approx (/ y (- x -4/29)) (/.f64 y x)) (patch #s(approx (/ y (- x -4/29)) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ y (+ 4/29 x)) (taylor 0 y) (#s(alt #s(approx (/ y (- x -4/29)) (/.f64 y x)) (patch #s(approx (/ y (- x -4/29)) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- x 4/29)) (taylor 0 y) (#s(alt (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) (patch (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- x 4/29)) (taylor 0 y) (#s(alt (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) (patch (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- x 4/29)) (taylor 0 y) (#s(alt (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) (patch (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- x 4/29)) (taylor 0 y) (#s(alt (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) (patch (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) (patch (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) (patch (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) (patch (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) (patch (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #<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)) (/.f64 #s(literal 1/3 binary64) x))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) #<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)) (/.f64 #s(literal 1/3 binary64) x))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) #<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)) (/.f64 #s(literal 1/3 binary64) x))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) #<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)) (/.f64 #s(literal 1/3 binary64) x))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/3 x) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x)) (patch #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1/3 (* 4/87 (/ 1 x))) x) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x)) (patch #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x)) #<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)) (/.f64 #s(literal 1/3 binary64) x)) (patch #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x)) #<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)) (/.f64 #s(literal 1/3 binary64) x)) (patch #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/3 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/3 binary64) x) (patch (/.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/3 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/3 binary64) x) (patch (/.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/3 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/3 binary64) x) (patch (/.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/3 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/3 binary64) x) (patch (/.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -16/841 binary64)) (patch (fma.f64 x x #s(literal -16/841 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -16/841 binary64)) (patch (fma.f64 x x #s(literal -16/841 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -16/841 binary64)) (patch (fma.f64 x x #s(literal -16/841 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -16/841 binary64)) (patch (fma.f64 x x #s(literal -16/841 binary64)) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | y | @ | inf | ((* (/ y (- x -4/29)) (* (+ (* x x) -16/841) 3)) (/ y (- x -4/29)) (/ y x) (* (+ (* x x) -16/841) 3) (* (* (- x 4/29) y) 3) (* (- x 4/29) y) (- x 4/29) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (/ 1/3 x) (+ (* x x) -16/841)) |
| 2.0ms | y | @ | -inf | ((* (/ y (- x -4/29)) (* (+ (* x x) -16/841) 3)) (/ y (- x -4/29)) (/ y x) (* (+ (* x x) -16/841) 3) (* (* (- x 4/29) y) 3) (* (- x 4/29) y) (- x 4/29) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (/ 1/3 x) (+ (* x x) -16/841)) |
| 2.0ms | y | @ | 0 | ((* (/ y (- x -4/29)) (* (+ (* x x) -16/841) 3)) (/ y (- x -4/29)) (/ y x) (* (+ (* x x) -16/841) 3) (* (* (- x 4/29) y) 3) (* (- x 4/29) y) (- x 4/29) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (/ 1/3 x) (+ (* x x) -16/841)) |
| 2.0ms | x | @ | -inf | ((* (/ y (- x -4/29)) (* (+ (* x x) -16/841) 3)) (/ y (- x -4/29)) (/ y x) (* (+ (* x x) -16/841) 3) (* (* (- x 4/29) y) 3) (* (- x 4/29) y) (- x 4/29) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (/ 1/3 x) (+ (* x x) -16/841)) |
| 1.0ms | x | @ | inf | ((* (/ y (- x -4/29)) (* (+ (* x x) -16/841) 3)) (/ y (- x -4/29)) (/ y x) (* (+ (* x x) -16/841) 3) (* (* (- x 4/29) y) 3) (* (- x 4/29) y) (- x 4/29) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (/ 1/3 x) (+ (* x x) -16/841)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 178 | 1258 |
| 1 | 469 | 1248 |
| 2 | 1129 | 1234 |
| 3 | 2589 | 1224 |
| 4 | 7033 | 1224 |
| 0 | 8076 | 1123 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) |
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) |
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) |
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) |
(/ y (+ 4/29 x)) |
(/ y (+ 4/29 x)) |
(/ y (+ 4/29 x)) |
(/ y (+ 4/29 x)) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(* 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)) |
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) |
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) |
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) |
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) |
(/ y (+ 4/29 x)) |
(/ y (+ 4/29 x)) |
(/ y (+ 4/29 x)) |
(/ y (+ 4/29 x)) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(* 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)) |
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) |
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) |
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) |
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) |
(/ y (+ 4/29 x)) |
(/ y (+ 4/29 x)) |
(/ y (+ 4/29 x)) |
(/ y (+ 4/29 x)) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(* 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))) |
(* 29/4 y) |
(+ (* -841/16 (* x y)) (* 29/4 y)) |
(+ (* 29/4 y) (* x (- (* 24389/64 (* x y)) (* 841/16 y)))) |
(+ (* 29/4 y) (* x (- (* x (- (* -707281/256 (* x y)) (* -24389/64 y))) (* 841/16 y)))) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
-48/841 |
(- (* 3 (pow x 2)) 48/841) |
(- (* 3 (pow x 2)) 48/841) |
(- (* 3 (pow x 2)) 48/841) |
(* -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) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
-16/841 |
(- (pow x 2) 16/841) |
(- (pow x 2) 16/841) |
(- (pow x 2) 16/841) |
(* 3 (* x y)) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(/ y x) |
(/ (+ y (* -4/29 (/ y x))) x) |
(/ (- (+ y (* 16/841 (/ y (pow x 2)))) (* 4/29 (/ y x))) x) |
(/ (- (+ y (* -64/24389 (/ y (pow x 3)))) (+ (* -16/841 (/ y (pow x 2))) (* 4/29 (/ y x)))) x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(* 3 (pow x 2)) |
(* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2))))) |
(* 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) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(pow x 2) |
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2))))) |
(* 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))))) |
(/ y x) |
(* -1 (/ (+ (* -1 y) (* 4/29 (/ y x))) x)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* 16/841 (/ y x)) (* 4/29 y)) x))) x)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (* 64/24389 (/ y x)) (* 16/841 y)) x)) (* 4/29 y)) x))) x)) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(* 3 (pow x 2)) |
(* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2))))) |
(* 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)) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(pow x 2) |
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2))))) |
| Outputs |
|---|
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) |
(*.f64 (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 4/29 binary64) x)) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y)) |
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) |
(*.f64 (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 4/29 binary64) x)) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y)) |
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) |
(*.f64 (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 4/29 binary64) x)) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y)) |
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) |
(*.f64 (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 4/29 binary64) x)) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y)) |
(/ y (+ 4/29 x)) |
(/.f64 y (+.f64 #s(literal 4/29 binary64) x)) |
(/ y (+ 4/29 x)) |
(/.f64 y (+.f64 #s(literal 4/29 binary64) x)) |
(/ y (+ 4/29 x)) |
(/.f64 y (+.f64 #s(literal 4/29 binary64) x)) |
(/ y (+ 4/29 x)) |
(/.f64 y (+.f64 #s(literal 4/29 binary64) x)) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(* 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) |
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) |
(*.f64 (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 4/29 binary64) x)) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y)) |
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) |
(*.f64 (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 4/29 binary64) x)) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y)) |
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) |
(*.f64 (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 4/29 binary64) x)) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y)) |
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) |
(*.f64 (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 4/29 binary64) x)) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y)) |
(/ y (+ 4/29 x)) |
(/.f64 y (+.f64 #s(literal 4/29 binary64) x)) |
(/ y (+ 4/29 x)) |
(/.f64 y (+.f64 #s(literal 4/29 binary64) x)) |
(/ y (+ 4/29 x)) |
(/.f64 y (+.f64 #s(literal 4/29 binary64) x)) |
(/ y (+ 4/29 x)) |
(/.f64 y (+.f64 #s(literal 4/29 binary64) x)) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(* 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) |
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) |
(*.f64 (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 4/29 binary64) x)) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y)) |
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) |
(*.f64 (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 4/29 binary64) x)) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y)) |
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) |
(*.f64 (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 4/29 binary64) x)) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y)) |
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) |
(*.f64 (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 4/29 binary64) x)) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y)) |
(/ y (+ 4/29 x)) |
(/.f64 y (+.f64 #s(literal 4/29 binary64) x)) |
(/ y (+ 4/29 x)) |
(/.f64 y (+.f64 #s(literal 4/29 binary64) x)) |
(/ y (+ 4/29 x)) |
(/.f64 y (+.f64 #s(literal 4/29 binary64) x)) |
(/ y (+ 4/29 x)) |
(/.f64 y (+.f64 #s(literal 4/29 binary64) x)) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(* 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) |
(* -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 y) |
(*.f64 #s(literal 29/4 binary64) y) |
(+ (* -841/16 (* x y)) (* 29/4 y)) |
(*.f64 (fma.f64 #s(literal -841/16 binary64) x #s(literal 29/4 binary64)) y) |
(+ (* 29/4 y) (* x (- (* 24389/64 (* x y)) (* 841/16 y)))) |
(*.f64 y (fma.f64 (fma.f64 #s(literal 24389/64 binary64) x #s(literal -841/16 binary64)) x #s(literal 29/4 binary64))) |
(+ (* 29/4 y) (* x (- (* x (- (* -707281/256 (* x y)) (* -24389/64 y))) (* 841/16 y)))) |
(fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal -707281/256 binary64) x #s(literal 24389/64 binary64)) x #s(literal -841/16 binary64))) x (*.f64 #s(literal 29/4 binary64) y)) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
-48/841 |
#s(literal -48/841 binary64) |
(- (* 3 (pow x 2)) 48/841) |
(*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) |
(- (* 3 (pow x 2)) 48/841) |
(*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) |
(- (* 3 (pow x 2)) 48/841) |
(*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 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 y) |
(*.f64 #s(literal -4/29 binary64) y) |
(+ (* -4/29 y) (* x y)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(+ (* -4/29 y) (* x y)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(+ (* -4/29 y) (* x y)) |
(*.f64 (-.f64 x #s(literal 4/29 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 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) |
-29/12 |
#s(literal -29/12 binary64) |
(- (* -841/48 x) 29/12) |
(fma.f64 #s(literal -841/48 binary64) x #s(literal -29/12 binary64)) |
(- (* x (- (* -24389/192 x) 841/48)) 29/12) |
(fma.f64 (fma.f64 #s(literal -24389/192 binary64) x #s(literal -841/48 binary64)) x #s(literal -29/12 binary64)) |
(- (* x (- (* x (- (* -707281/768 x) 24389/192)) 841/48)) 29/12) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -707281/768 binary64) x #s(literal -24389/192 binary64)) x #s(literal -841/48 binary64)) x #s(literal -29/12 binary64)) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
-16/841 |
#s(literal -16/841 binary64) |
(- (pow x 2) 16/841) |
(fma.f64 x x #s(literal -16/841 binary64)) |
(- (pow x 2) 16/841) |
(fma.f64 x x #s(literal -16/841 binary64)) |
(- (pow x 2) 16/841) |
(fma.f64 x x #s(literal -16/841 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) |
(/ y x) |
(/.f64 y x) |
(/ (+ y (* -4/29 (/ y x))) x) |
(/.f64 (fma.f64 #s(literal -4/29 binary64) (/.f64 y x) y) x) |
(/ (- (+ y (* 16/841 (/ y (pow x 2)))) (* 4/29 (/ y x))) x) |
(/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 16/841 binary64) x) #s(literal 4/29 binary64)) (/.f64 y x) y) x) |
(/ (- (+ y (* -64/24389 (/ y (pow x 3)))) (+ (* -16/841 (/ y (pow x 2))) (* 4/29 (/ y x)))) x) |
(/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -4/29 binary64) y (/.f64 (*.f64 y (-.f64 (/.f64 #s(literal -64/24389 binary64) x) #s(literal -16/841 binary64))) x)) x) y) x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(* 3 (pow x 2)) |
(*.f64 (*.f64 x #s(literal 3 binary64)) x) |
(* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) |
(* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) |
(* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 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 y) |
(*.f64 x y) |
(* x (+ y (* -4/29 (/ y x)))) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(* x (+ y (* -4/29 (/ y x)))) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(* x (+ y (* -4/29 (/ y x)))) |
(*.f64 (-.f64 x #s(literal 4/29 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 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) |
(/ 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) |
(/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (* 4/87 (/ 1 x)))) x) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 16/2523 binary64) x) #s(literal 4/87 binary64)) #s(literal 1/3 binary64)) x) |
(/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (+ (* 4/87 (/ 1 x)) (* 64/73167 (/ 1 (pow x 3)))))) x) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 16/2523 binary64) x) #s(literal 4/87 binary64)) (+.f64 (/.f64 #s(literal 64/73167 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/3 binary64))) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2))))) |
(fma.f64 x x #s(literal -16/841 binary64)) |
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2))))) |
(fma.f64 x x #s(literal -16/841 binary64)) |
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2))))) |
(fma.f64 x x #s(literal -16/841 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) |
(/ y x) |
(/.f64 y x) |
(* -1 (/ (+ (* -1 y) (* 4/29 (/ y x))) x)) |
(/.f64 (fma.f64 #s(literal -4/29 binary64) (/.f64 y x) y) x) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* 16/841 (/ y x)) (* 4/29 y)) x))) x)) |
(/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 16/841 binary64) x) #s(literal 4/29 binary64)) (/.f64 y x) y) x) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (* 64/24389 (/ y x)) (* 16/841 y)) x)) (* 4/29 y)) x))) x)) |
(/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -4/29 binary64) y (/.f64 (*.f64 y (-.f64 (/.f64 #s(literal -64/24389 binary64) x) #s(literal -16/841 binary64))) x)) x) y) x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(* 3 (pow x 2)) |
(*.f64 (*.f64 x #s(literal 3 binary64)) x) |
(* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) |
(* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) |
(* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 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 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 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) |
(/ 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 64/73167 binary64) (*.f64 x x)) #s(literal 4/87 binary64)) (/.f64 #s(literal -16/2523 binary64) x)) x) #s(literal -1/3 binary64)) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2))))) |
(fma.f64 x x #s(literal -16/841 binary64)) |
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2))))) |
(fma.f64 x x #s(literal -16/841 binary64)) |
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2))))) |
(fma.f64 x x #s(literal -16/841 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 86 |
| 0 | 35 | 86 |
| 1 | 136 | 86 |
| 2 | 729 | 86 |
| 3 | 6410 | 86 |
| 0 | 8231 | 84 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(approx (/ y (- x -4/29)) (/.f64 y x)) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) |
#s(approx (/ y (- x -4/29)) (/.f64 y x)) |
(/.f64 y x) |
(*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) |
(*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) |
(*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) |
#s(approx (- x 4/29) #s(literal -4/29 binary64)) |
(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) |
#s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x)) |
(/.f64 #s(literal 1/3 binary64) x) |
(fma.f64 x x #s(literal -16/841 binary64)) |
| Outputs |
|---|
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
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#<batchref> |
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#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
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Compiled 6 110 to 898 computations (85.3% saved)
11 alts after pruning (1 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 443 | 1 | 444 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 2 | 3 |
| Done | 0 | 8 | 8 |
| Total | 444 | 11 | 455 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 53.4% | (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) |
| ✓ | 47.9% | (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) |
| ✓ | 99.8% | (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
| ✓ | 99.6% | (*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
| ✓ | 48.1% | (*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) |
| 33.3% | (*.f64 #s(approx (/ y (- x -4/29)) (/.f64 y x)) (*.f64 #s(approx (+ (* x x) -16/841) (*.f64 x x)) #s(literal 3 binary64))) | |
| ✓ | 48.1% | (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
| ✓ | 53.5% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) |
| ✓ | 48.2% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
| ✓ | 53.5% | #s(approx (/ y (/ 1 (+ (* 3 x) -12/29))) (*.f64 (*.f64 x y) #s(literal 3 binary64))) |
| ✓ | 53.5% | #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) |
Compiled 193 to 131 computations (32.1% 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 x y) #s(literal 3 binary64))) |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) |
(*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
(*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #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)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
(fma.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 y x))) |
(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) |
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
(*.f64 #s(approx (/ y (- x -4/29)) (/.f64 y x)) (*.f64 #s(approx (+ (* x x) -16/841) (*.f64 x x)) #s(literal 3 binary64))) |
(*.f64 #s(approx (/ y (- x -4/29)) (/.f64 y x)) (*.f64 (fma.f64 x x #s(literal -16/841 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 (/.f64 y (-.f64 x #s(literal -4/29 binary64))) (*.f64 (fma.f64 x x #s(literal -16/841 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 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
| 5.0ms | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
| 5.0ms | y |
| 5.0ms | x |
| 5.0ms | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
| 99.8% | 1 | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
| 99.8% | 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 x y) #s(literal 3 binary64))) |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) |
(*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
(*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #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 (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) |
5 calls:
| 5.0ms | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
| 3.0ms | y |
| 3.0ms | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
| 2.0ms | x |
| 2.0ms | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.5% | 3 | x |
| 62.8% | 5 | y |
| 79.9% | 3 | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
| 97.5% | 3 | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
| 97.5% | 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 x y) #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) |
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) |
3 calls:
| 2.0ms | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
| 2.0ms | x |
| 2.0ms | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.5% | 3 | x |
| 97.5% | 3 | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
| 97.5% | 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:
| 2.0ms | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
| 1.0ms | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.2% | 1 | y |
| 48.2% | 1 | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
| 48.2% | 1 | x |
| 48.2% | 1 | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
| 48.2% | 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 | -0.13665471685957017 | 0.03873192842045242 |
| 0.0ms | -7.038795125473038 | -0.13793105038001507 |
Compiled 12 to 14 computations (-16.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.13665471685957017 | 0.03873192842045242 |
| 0.0ms | -7.038795125473038 | -0.13793105038001507 |
Compiled 12 to 14 computations (-16.7% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 115 |
| 1 | 39 | 115 |
| 2 | 48 | 115 |
| 3 | 54 | 115 |
| 4 | 59 | 115 |
| 5 | 61 | 115 |
| 1× | saturated |
| Inputs |
|---|
(*.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 -5 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 (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y))) |
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -5 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 |
|---|
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(*.f64 y (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))) |
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -5 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 (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y))) |
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -5 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 (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y))) |
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -5 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 | 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 |
Compiled 113 to 65 computations (42.5% saved)
(negabs y)
Compiled 204 to 108 computations (47.1% saved)
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