
Time bar (total: 4.0s)
| 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)
| 346.0ms | 8 256× | 0 | valid |
ival-mult: 89.0ms (44.1% of total)ival-div: 60.0ms (29.8% of total)ival-sub: 35.0ms (17.4% of total)exact: 10.0ms (5% of total)ival-true: 6.0ms (3% of total)ival-assert: 3.0ms (1.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 16 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 116 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
| 0 | 0 | - | 0 | - | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 25.0ms | 470× | 0 | valid |
| 3.0ms | 26× | 1 | valid |
| 2.0ms | 16× | 2 | valid |
Compiled 158 to 90 computations (43% saved)
ival-mult: 6.0ms (39.6% of total)ival-div: 4.0ms (26.4% of total)ival-sub: 3.0ms (19.8% of total)adjust: 1.0ms (6.6% of total)exact: 1.0ms (6.6% 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 |
|---|---|---|
| ▶ | 99.8% | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
Compiled 9 to 9 computations (0% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) | |
| cost-diff | 0 | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) | |
| cost-diff | 128 | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) | |
| cost-diff | 704 | (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 21 |
| 0 | 14 | 21 |
| 1 | 21 | 21 |
| 2 | 36 | 21 |
| 3 | 66 | 21 |
| 4 | 88 | 21 |
| 0 | 88 | 19 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
x |
(/.f64 #s(literal 16 binary64) #s(literal 116 binary64)) |
#s(literal 16 binary64) |
#s(literal 116 binary64) |
#s(literal 3 binary64) |
y |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) |
(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) |
(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
(-.f64 x #s(literal 4/29 binary64)) |
x |
(/.f64 #s(literal 16 binary64) #s(literal 116 binary64)) |
#s(literal 4/29 binary64) |
#s(literal 16 binary64) |
#s(literal 116 binary64) |
#s(literal 3 binary64) |
y |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)) | |
| accuracy | 0 | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) | |
| accuracy | 0.109375 | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) | |
| accuracy | 0.12890625 | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
| 12.0ms | 235× | 0 | valid |
| 1.0ms | 13× | 1 | valid |
| 1.0ms | 8× | 2 | valid |
Compiled 60 to 20 computations (66.7% saved)
ival-mult: 3.0ms (42% of total)ival-div: 2.0ms (28% of total)ival-sub: 1.0ms (14% 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 | y | @ | inf | ((/ 16 116) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (- x (/ 16 116))) |
| 1.0ms | x | @ | inf | ((/ 16 116) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (- x (/ 16 116))) |
| 1.0ms | x | @ | -inf | ((/ 16 116) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (- x (/ 16 116))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 242 |
| 1 | 112 | 242 |
| 2 | 290 | 242 |
| 3 | 614 | 242 |
| 4 | 1570 | 242 |
| 5 | 2670 | 242 |
| 6 | 3756 | 242 |
| 7 | 4250 | 242 |
| 8 | 4425 | 242 |
| 9 | 4445 | 242 |
| 10 | 4459 | 242 |
| 11 | 5193 | 242 |
| 12 | 5573 | 242 |
| 13 | 5799 | 242 |
| 14 | 6250 | 242 |
| 15 | 6612 | 242 |
| 16 | 6618 | 242 |
| 17 | 6630 | 242 |
| 18 | 6630 | 242 |
| 0 | 8644 | 212 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
-12/29 |
(- (* 3 x) 12/29) |
(- (* 3 x) 12/29) |
(- (* 3 x) 12/29) |
(* -12/29 y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(+ (* -12/29 y) (* 3 (* x y))) |
(+ (* -12/29 y) (* 3 (* x y))) |
-4/29 |
(- x 4/29) |
(- x 4/29) |
(- x 4/29) |
(* 3 x) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
(* 3 (* x y)) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
x |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(* 3 x) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(* 3 (* x y)) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
x |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
| Outputs |
|---|
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
-12/29 |
#s(literal -12/29 binary64) |
(- (* 3 x) 12/29) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(- (* 3 x) 12/29) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(- (* 3 x) 12/29) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(* -12/29 y) |
(*.f64 #s(literal -12/29 binary64) y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
-4/29 |
#s(literal -4/29 binary64) |
(- x 4/29) |
(-.f64 x #s(literal 4/29 binary64)) |
(- x 4/29) |
(-.f64 x #s(literal 4/29 binary64)) |
(- x 4/29) |
(-.f64 x #s(literal 4/29 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(* 3 (* x y)) |
(*.f64 (*.f64 y #s(literal 3 binary64)) x) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
x |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(-.f64 x #s(literal 4/29 binary64)) |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(-.f64 x #s(literal 4/29 binary64)) |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(-.f64 x #s(literal 4/29 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(* 3 (* x y)) |
(*.f64 (*.f64 y #s(literal 3 binary64)) x) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
x |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(-.f64 x #s(literal 4/29 binary64)) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(-.f64 x #s(literal 4/29 binary64)) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(-.f64 x #s(literal 4/29 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 16 |
| 0 | 14 | 16 |
| 1 | 35 | 16 |
| 2 | 164 | 16 |
| 3 | 1263 | 16 |
| 0 | 8918 | 14 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 16 binary64) #s(literal 116 binary64)) |
(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
| Outputs |
|---|
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Compiled 13 714 to 1 811 computations (86.8% saved)
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 543 | 10 | 553 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 544 | 10 | 554 |
| Status | Accuracy | Program |
|---|---|---|
| 99.8% | (fma.f64 (*.f64 #s(literal 3 binary64) x) y (*.f64 #s(literal -12/29 binary64) y)) | |
| ▶ | 99.6% | (fma.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 y x))) |
| 99.4% | (/.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) |
| 84.7% | (*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) (-.f64 x #s(literal -4/29 binary64))) y) | |
| ▶ | 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)) | |
| ▶ | 48.5% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) |
| ▶ | 52.9% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
| 48.5% | #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) |
Compiled 148 to 140 computations (5.4% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | (*.f64 #s(literal 3 binary64) (*.f64 y x)) | |
| cost-diff | 0 | (*.f64 y #s(literal -4/29 binary64)) | |
| cost-diff | 640 | (fma.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 y x))) | |
| 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: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 100 |
| 0 | 38 | 95 |
| 1 | 61 | 91 |
| 2 | 85 | 91 |
| 0 | 85 | 91 |
| 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) |
(fma.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 y x))) |
#s(literal 3 binary64) |
(*.f64 y #s(literal -4/29 binary64)) |
y |
#s(literal -4/29 binary64) |
(*.f64 #s(literal 3 binary64) (*.f64 y x)) |
(*.f64 y x) |
x |
| 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) |
(fma.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 y x))) |
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) |
#s(literal 3 binary64) |
(*.f64 y #s(literal -4/29 binary64)) |
(*.f64 #s(literal -4/29 binary64) y) |
y |
#s(literal -4/29 binary64) |
(*.f64 #s(literal 3 binary64) (*.f64 y x)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(*.f64 y x) |
x |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 0.08203125 | (*.f64 y #s(literal -4/29 binary64)) | |
| accuracy | 0.1875 | (fma.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 y x))) | |
| accuracy | 0.22265625 | (*.f64 #s(literal 3 binary64) (*.f64 y x)) | |
| accuracy | 0 | (-.f64 x #s(literal 4/29 binary64)) | |
| accuracy | 0 | (*.f64 y #s(literal 3 binary64)) | |
| accuracy | 0.2734375 | (*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) | |
| accuracy | 0 | (*.f64 x #s(literal 3 binary64)) | |
| accuracy | 0.12890625 | (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) | |
| accuracy | 33.18144425990742 | #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) | |
| accuracy | 0.12890625 | (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) | |
| accuracy | 30.259903228078752 | #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 | 0.12890625 | (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
| 37.0ms | 235× | 0 | valid |
| 4.0ms | 13× | 1 | valid |
| 3.0ms | 8× | 2 | valid |
Compiled 181 to 45 computations (75.1% saved)
ival-mult: 14.0ms (46% of total)const: 9.0ms (29.6% of total)ival-div: 2.0ms (6.6% of total)ival-sub: 2.0ms (6.6% of total)ival-add: 2.0ms (6.6% of total)adjust: 1.0ms (3.3% 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 (fma.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 y x))) (patch (fma.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 y x))) #<representation binary64>) () ()) |
#s(alt (*.f64 y #s(literal -4/29 binary64)) (patch (*.f64 y #s(literal -4/29 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 3 binary64) (*.f64 y x)) (patch (*.f64 #s(literal 3 binary64) (*.f64 y x)) #<representation binary64>) () ()) |
#s(alt (*.f64 y x) (patch (*.f64 y x) #<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 (fma.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 y x))) (patch (fma.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt (fma.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 y x))) (patch (fma.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt (fma.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 y x))) (patch (fma.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt (fma.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 y x))) (patch (fma.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* -4/29 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal -4/29 binary64)) (patch (*.f64 y #s(literal -4/29 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -4/29 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal -4/29 binary64)) (patch (*.f64 y #s(literal -4/29 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -4/29 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal -4/29 binary64)) (patch (*.f64 y #s(literal -4/29 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -4/29 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal -4/29 binary64)) (patch (*.f64 y #s(literal -4/29 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (*.f64 #s(literal 3 binary64) (*.f64 y x)) (patch (*.f64 #s(literal 3 binary64) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (*.f64 #s(literal 3 binary64) (*.f64 y x)) (patch (*.f64 #s(literal 3 binary64) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (*.f64 #s(literal 3 binary64) (*.f64 y x)) (patch (*.f64 #s(literal 3 binary64) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (*.f64 #s(literal 3 binary64) (*.f64 y x)) (patch (*.f64 #s(literal 3 binary64) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<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>) () ())) ()) |
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#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) (patch (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) (patch (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) (patch (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 x) (taylor -inf x) (#s(alt #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) (patch #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3))) (taylor -inf x) (#s(alt #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) (patch #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3))) (taylor -inf x) (#s(alt #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) (patch #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3))) (taylor -inf x) (#s(alt #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) (patch #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 (-.f64 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 (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#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 (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#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 (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#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 x (taylor -inf x) (#s(alt (-.f64 x #s(literal 4/29 binary64)) (patch (-.f64 x #s(literal 4/29 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 4/29 binary64)) (patch (-.f64 x #s(literal 4/29 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 4/29 binary64)) (patch (-.f64 x #s(literal 4/29 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 4/29 binary64)) (patch (-.f64 x #s(literal 4/29 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 y x))) (patch (fma.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 y x))) (patch (fma.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 y x))) (patch (fma.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 y x))) (patch (fma.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 #s(literal 3 binary64) (*.f64 y x)) (patch (*.f64 #s(literal 3 binary64) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 #s(literal 3 binary64) (*.f64 y x)) (patch (*.f64 #s(literal 3 binary64) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 #s(literal 3 binary64) (*.f64 y x)) (patch (*.f64 #s(literal 3 binary64) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 #s(literal 3 binary64) (*.f64 y x)) (patch (*.f64 #s(literal 3 binary64) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | 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) (+ (* 3 (* y -4/29)) (* 3 (* y x))) (* y -4/29) (* 3 (* y x)) (* y x)) |
| 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) (+ (* 3 (* y -4/29)) (* 3 (* y x))) (* y -4/29) (* 3 (* y x)) (* y x)) |
| 2.0ms | 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) (+ (* 3 (* y -4/29)) (* 3 (* y x))) (* y -4/29) (* 3 (* y x)) (* y x)) |
| 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) (+ (* 3 (* y -4/29)) (* 3 (* y x))) (* y -4/29) (* 3 (* y x)) (* y x)) |
| 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) (+ (* 3 (* y -4/29)) (* 3 (* y x))) (* y -4/29) (* 3 (* y x)) (* y x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 1286 |
| 1 | 132 | 1286 |
| 2 | 352 | 1286 |
| 3 | 680 | 1286 |
| 4 | 1592 | 1286 |
| 5 | 2689 | 1286 |
| 6 | 3777 | 1286 |
| 7 | 4262 | 1286 |
| 8 | 4430 | 1286 |
| 9 | 4450 | 1286 |
| 10 | 4464 | 1286 |
| 11 | 5022 | 1286 |
| 12 | 5322 | 1286 |
| 13 | 5547 | 1286 |
| 14 | 5827 | 1286 |
| 15 | 5831 | 1286 |
| 16 | 5835 | 1286 |
| 17 | 5843 | 1286 |
| 18 | 5843 | 1286 |
| 19 | 7887 | 1286 |
| 0 | 8199 | 1154 |
| 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)) |
(* -4/29 y) |
(* -4/29 y) |
(* -4/29 y) |
(* -4/29 y) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* 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)) |
(* -4/29 y) |
(* -4/29 y) |
(* -4/29 y) |
(* -4/29 y) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* 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) |
(* -1 (* y (+ 12/29 (* -3 x)))) |
(* -1 (* y (+ 12/29 (* -3 x)))) |
(* -1 (* y (+ 12/29 (* -3 x)))) |
(* -1 (* y (+ 12/29 (* -3 x)))) |
(* -4/29 y) |
(* -4/29 y) |
(* -4/29 y) |
(* -4/29 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))) |
-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))) |
(* 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))) |
(* 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))) |
(* 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))))) |
(* 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))))) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
| 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)) |
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(* -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) |
(* 3 (* x y)) |
(*.f64 (*.f64 x y) #s(literal 3 binary64)) |
(* 3 (* x y)) |
(*.f64 (*.f64 x y) #s(literal 3 binary64)) |
(* 3 (* x y)) |
(*.f64 (*.f64 x y) #s(literal 3 binary64)) |
(* 3 (* x y)) |
(*.f64 (*.f64 x y) #s(literal 3 binary64)) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 83 |
| 0 | 38 | 78 |
| 1 | 101 | 74 |
| 2 | 552 | 74 |
| 3 | 5397 | 74 |
| 0 | 8732 | 74 |
| 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)) |
(fma.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 y x))) |
(*.f64 y #s(literal -4/29 binary64)) |
(*.f64 #s(literal 3 binary64) (*.f64 y x)) |
(*.f64 y x) |
| Outputs |
|---|
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Compiled 17 932 to 1 165 computations (93.5% saved)
11 alts after pruning (6 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 992 | 3 | 995 |
| Fresh | 2 | 3 | 5 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 0 | 0 |
| Total | 994 | 11 | 1 005 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (fma.f64 (*.f64 y x) #s(literal 3 binary64) (*.f64 y #s(literal -12/29 binary64))) |
| ✓ | 99.6% | (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) |
| 84.7% | (*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) (-.f64 x #s(literal -4/29 binary64))) y) | |
| ✓ | 99.6% | (*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
| ▶ | 53.0% | (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
| ✓ | 48.5% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) |
| ✓ | 52.9% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
| ▶ | 48.5% | #s(approx (+ (* 3 (* y -4/29)) (* 3 (* y x))) (*.f64 (*.f64 x y) #s(literal 3 binary64))) |
| ▶ | 48.5% | #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) |
Compiled 125 to 120 computations (4% saved)
| 1× | egg-herbie |
Found 15 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 | #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 (+ (* 3 (* y -4/29)) (* 3 (* y x))) (*.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 y #s(literal -12/29 binary64)) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 320 | (fma.f64 (*.f64 y x) #s(literal 3 binary64) (*.f64 y #s(literal -12/29 binary64))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 113 |
| 0 | 45 | 109 |
| 1 | 80 | 103 |
| 2 | 108 | 102 |
| 3 | 134 | 102 |
| 4 | 158 | 102 |
| 5 | 173 | 102 |
| 6 | 185 | 102 |
| 7 | 198 | 102 |
| 8 | 207 | 102 |
| 9 | 212 | 102 |
| 0 | 212 | 102 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (*.f64 y #s(literal -12/29 binary64))) |
(*.f64 y x) |
y |
x |
#s(literal 3 binary64) |
(*.f64 y #s(literal -12/29 binary64)) |
#s(literal -12/29 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 (+ (* 3 (* y -4/29)) (* 3 (* y x))) (*.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 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) |
y |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) |
#s(literal 1 binary64) |
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) |
#s(literal 3 binary64) |
x |
#s(literal -12/29 binary64) |
| Outputs |
|---|
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (*.f64 y #s(literal -12/29 binary64))) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y) |
(*.f64 y x) |
(*.f64 x y) |
y |
x |
#s(literal 3 binary64) |
(*.f64 y #s(literal -12/29 binary64)) |
(*.f64 #s(literal -12/29 binary64) y) |
#s(literal -12/29 binary64) |
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) |
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 #s(literal 3 binary64) x) y)) |
(*.f64 (*.f64 y #s(literal 3 binary64)) x) |
(*.f64 (*.f64 #s(literal 3 binary64) x) y) |
(*.f64 y #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) y) |
y |
#s(literal 3 binary64) |
x |
#s(approx (+ (* 3 (* y -4/29)) (* 3 (* y x))) (*.f64 (*.f64 x y) #s(literal 3 binary64))) |
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 #s(literal 3 binary64) x) y)) |
(*.f64 (*.f64 x y) #s(literal 3 binary64)) |
(*.f64 (*.f64 #s(literal 3 binary64) x) y) |
(*.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 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y) |
y |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) |
(/.f64 #s(literal 1/3 binary64) (-.f64 x #s(literal 4/29 binary64))) |
#s(literal 1 binary64) |
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) |
#s(literal 3 binary64) |
x |
#s(literal -12/29 binary64) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) | |
| accuracy | 0.1171875 | (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) | |
| accuracy | 0.34375 | (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) | |
| accuracy | 0 | (*.f64 y #s(literal 3 binary64)) | |
| accuracy | 0.2734375 | (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64))) | |
| accuracy | 30.236958410573802 | #s(approx (- x 4/29) #s(literal -4/29 binary64)) | |
| accuracy | 0 | (*.f64 x y) | |
| accuracy | 0.22265625 | (*.f64 (*.f64 x y) #s(literal 3 binary64)) | |
| accuracy | 32.86920086883178 | #s(approx (+ (* 3 (* y -4/29)) (* 3 (* y x))) (*.f64 (*.f64 x y) #s(literal 3 binary64))) | |
| accuracy | 0 | (*.f64 y #s(literal 3 binary64)) | |
| accuracy | 0.17578125 | (*.f64 (*.f64 y #s(literal 3 binary64)) x) | |
| accuracy | 32.86920086883178 | #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 0.0859375 | (*.f64 y #s(literal -12/29 binary64)) | |
| accuracy | 0.109375 | (fma.f64 (*.f64 y x) #s(literal 3 binary64) (*.f64 y #s(literal -12/29 binary64))) |
| 57.0ms | 236× | 0 | valid |
| 5.0ms | 12× | 1 | valid |
| 4.0ms | 8× | 2 | valid |
Compiled 194 to 53 computations (72.7% saved)
ival-mult: 23.0ms (48.5% of total)const: 11.0ms (23.2% of total)ival-div: 6.0ms (12.6% of total)ival-add: 4.0ms (8.4% of total)ival-sub: 3.0ms (6.3% of total)adjust: 1.0ms (2.1% of total)exact: 1.0ms (2.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (*.f64 y x) #s(literal 3 binary64) (*.f64 y #s(literal -12/29 binary64))) (patch (fma.f64 (*.f64 y x) #s(literal 3 binary64) (*.f64 y #s(literal -12/29 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ()) |
#s(alt (*.f64 y #s(literal -12/29 binary64)) (patch (*.f64 y #s(literal -12/29 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 (+ (* 3 (* y -4/29)) (* 3 (* y x))) (*.f64 (*.f64 x y) #s(literal 3 binary64))) (patch #s(approx (+ (* 3 (* y -4/29)) (* 3 (* y x))) (*.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 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) (patch (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) (patch (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt (fma.f64 (*.f64 y x) #s(literal 3 binary64) (*.f64 y #s(literal -12/29 binary64))) (patch (fma.f64 (*.f64 y x) #s(literal 3 binary64) (*.f64 y #s(literal -12/29 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt (fma.f64 (*.f64 y x) #s(literal 3 binary64) (*.f64 y #s(literal -12/29 binary64))) (patch (fma.f64 (*.f64 y x) #s(literal 3 binary64) (*.f64 y #s(literal -12/29 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt (fma.f64 (*.f64 y x) #s(literal 3 binary64) (*.f64 y #s(literal -12/29 binary64))) (patch (fma.f64 (*.f64 y x) #s(literal 3 binary64) (*.f64 y #s(literal -12/29 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt (fma.f64 (*.f64 y x) #s(literal 3 binary64) (*.f64 y #s(literal -12/29 binary64))) (patch (fma.f64 (*.f64 y x) #s(literal 3 binary64) (*.f64 y #s(literal -12/29 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -12/29 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal -12/29 binary64)) (patch (*.f64 y #s(literal -12/29 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -12/29 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal -12/29 binary64)) (patch (*.f64 y #s(literal -12/29 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -12/29 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal -12/29 binary64)) (patch (*.f64 y #s(literal -12/29 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -12/29 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal -12/29 binary64)) (patch (*.f64 y #s(literal -12/29 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>) () ())) ()) |
#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 #s(approx (+ (* 3 (* y -4/29)) (* 3 (* y x))) (*.f64 (*.f64 x y) #s(literal 3 binary64))) (patch #s(approx (+ (* 3 (* y -4/29)) (* 3 (* y x))) (*.f64 (*.f64 x y) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt #s(approx (+ (* 3 (* y -4/29)) (* 3 (* y x))) (*.f64 (*.f64 x y) #s(literal 3 binary64))) (patch #s(approx (+ (* 3 (* y -4/29)) (* 3 (* y x))) (*.f64 (*.f64 x y) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt #s(approx (+ (* 3 (* y -4/29)) (* 3 (* y x))) (*.f64 (*.f64 x y) #s(literal 3 binary64))) (patch #s(approx (+ (* 3 (* y -4/29)) (* 3 (* y x))) (*.f64 (*.f64 x y) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt #s(approx (+ (* 3 (* y -4/29)) (* 3 (* y x))) (*.f64 (*.f64 x y) #s(literal 3 binary64))) (patch #s(approx (+ (* 3 (* y -4/29)) (* 3 (* y x))) (*.f64 (*.f64 x y) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 x y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 x y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 x y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 x y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 #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 (* 3 (* y (- x 4/29))) (taylor 0 y) (#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 (* 3 (* y (- x 4/29))) (taylor 0 y) (#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 (* 3 (* y (- x 4/29))) (taylor 0 y) (#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 (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) (patch (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) (patch (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) (patch (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) (patch (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 3 x) 12/29)) (taylor inf y) (#s(alt (fma.f64 (*.f64 y x) #s(literal 3 binary64) (*.f64 y #s(literal -12/29 binary64))) (patch (fma.f64 (*.f64 y x) #s(literal 3 binary64) (*.f64 y #s(literal -12/29 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 3 x) 12/29)) (taylor inf y) (#s(alt (fma.f64 (*.f64 y x) #s(literal 3 binary64) (*.f64 y #s(literal -12/29 binary64))) (patch (fma.f64 (*.f64 y x) #s(literal 3 binary64) (*.f64 y #s(literal -12/29 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 3 x) 12/29)) (taylor inf y) (#s(alt (fma.f64 (*.f64 y x) #s(literal 3 binary64) (*.f64 y #s(literal -12/29 binary64))) (patch (fma.f64 (*.f64 y x) #s(literal 3 binary64) (*.f64 y #s(literal -12/29 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 3 x) 12/29)) (taylor inf y) (#s(alt (fma.f64 (*.f64 y x) #s(literal 3 binary64) (*.f64 y #s(literal -12/29 binary64))) (patch (fma.f64 (*.f64 y x) #s(literal 3 binary64) (*.f64 y #s(literal -12/29 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -12/29 y) (taylor inf y) (#s(alt (*.f64 y #s(literal -12/29 binary64)) (patch (*.f64 y #s(literal -12/29 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -12/29 y) (taylor inf y) (#s(alt (*.f64 y #s(literal -12/29 binary64)) (patch (*.f64 y #s(literal -12/29 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* x (- 3 (* 12/29 (/ 1 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 (* x (- 3 (* 12/29 (/ 1 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 (* 3 (* x y)) (taylor -inf x) (#s(alt (fma.f64 (*.f64 y x) #s(literal 3 binary64) (*.f64 y #s(literal -12/29 binary64))) (patch (fma.f64 (*.f64 y x) #s(literal 3 binary64) (*.f64 y #s(literal -12/29 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 y x) #s(literal 3 binary64) (*.f64 y #s(literal -12/29 binary64))) (patch (fma.f64 (*.f64 y x) #s(literal 3 binary64) (*.f64 y #s(literal -12/29 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 y x) #s(literal 3 binary64) (*.f64 y #s(literal -12/29 binary64))) (patch (fma.f64 (*.f64 y x) #s(literal 3 binary64) (*.f64 y #s(literal -12/29 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 y x) #s(literal 3 binary64) (*.f64 y #s(literal -12/29 binary64))) (patch (fma.f64 (*.f64 y x) #s(literal 3 binary64) (*.f64 y #s(literal -12/29 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor -inf x) (#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 (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#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 (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#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 (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#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 -inf x) (#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 -inf x) (#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 -inf x) (#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 -inf x) (#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 -inf x) (#s(alt #s(approx (+ (* 3 (* y -4/29)) (* 3 (* y x))) (*.f64 (*.f64 x y) #s(literal 3 binary64))) (patch #s(approx (+ (* 3 (* y -4/29)) (* 3 (* y x))) (*.f64 (*.f64 x y) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt #s(approx (+ (* 3 (* y -4/29)) (* 3 (* y x))) (*.f64 (*.f64 x y) #s(literal 3 binary64))) (patch #s(approx (+ (* 3 (* y -4/29)) (* 3 (* y x))) (*.f64 (*.f64 x y) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt #s(approx (+ (* 3 (* y -4/29)) (* 3 (* y x))) (*.f64 (*.f64 x y) #s(literal 3 binary64))) (patch #s(approx (+ (* 3 (* y -4/29)) (* 3 (* y x))) (*.f64 (*.f64 x y) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt #s(approx (+ (* 3 (* y -4/29)) (* 3 (* y x))) (*.f64 (*.f64 x y) #s(literal 3 binary64))) (patch #s(approx (+ (* 3 (* y -4/29)) (* 3 (* y x))) (*.f64 (*.f64 x y) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (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 (* -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 (/.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 | y | @ | -inf | ((+ (* (* y x) 3) (* y -12/29)) (* y x) (* y -12/29) (* (* (- x (/ 16 116)) 3) y) (* (* y 3) x) (* y 3) (+ (* 3 (* y -4/29)) (* 3 (* y x))) (* (* x y) 3) (* x y) (* (- x 4/29) (* y 3)) (- x 4/29) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (+ (* 3 x) -12/29)) |
| 2.0ms | y | @ | inf | ((+ (* (* y x) 3) (* y -12/29)) (* y x) (* y -12/29) (* (* (- x (/ 16 116)) 3) y) (* (* y 3) x) (* y 3) (+ (* 3 (* y -4/29)) (* 3 (* y x))) (* (* x y) 3) (* x y) (* (- x 4/29) (* y 3)) (- x 4/29) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (+ (* 3 x) -12/29)) |
| 1.0ms | y | @ | 0 | ((+ (* (* y x) 3) (* y -12/29)) (* y x) (* y -12/29) (* (* (- x (/ 16 116)) 3) y) (* (* y 3) x) (* y 3) (+ (* 3 (* y -4/29)) (* 3 (* y x))) (* (* x y) 3) (* x y) (* (- x 4/29) (* y 3)) (- x 4/29) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (+ (* 3 x) -12/29)) |
| 1.0ms | x | @ | -inf | ((+ (* (* y x) 3) (* y -12/29)) (* y x) (* y -12/29) (* (* (- x (/ 16 116)) 3) y) (* (* y 3) x) (* y 3) (+ (* 3 (* y -4/29)) (* 3 (* y x))) (* (* x y) 3) (* x y) (* (- x 4/29) (* y 3)) (- x 4/29) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (+ (* 3 x) -12/29)) |
| 1.0ms | x | @ | inf | ((+ (* (* y x) 3) (* y -12/29)) (* y x) (* y -12/29) (* (* (- x (/ 16 116)) 3) y) (* (* y 3) x) (* y 3) (+ (* 3 (* y -4/29)) (* 3 (* y x))) (* (* x y) 3) (* x y) (* (- x 4/29) (* y 3)) (- x 4/29) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (+ (* 3 x) -12/29)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 102 | 1450 |
| 1 | 251 | 1450 |
| 2 | 596 | 1450 |
| 3 | 1162 | 1450 |
| 4 | 2943 | 1442 |
| 5 | 5148 | 1442 |
| 0 | 8096 | 1322 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -12/29 y) |
(* -12/29 y) |
(* -12/29 y) |
(* -12/29 y) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* 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)) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -12/29 y) |
(* -12/29 y) |
(* -12/29 y) |
(* -12/29 y) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* 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)) |
(* -1 (* y (+ 12/29 (* -3 x)))) |
(* -1 (* y (+ 12/29 (* -3 x)))) |
(* -1 (* y (+ 12/29 (* -3 x)))) |
(* -1 (* y (+ 12/29 (* -3 x)))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -12/29 y) |
(* -12/29 y) |
(* -12/29 y) |
(* -12/29 y) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* -1 (* y (+ 12/29 (* -3 x)))) |
(* -1 (* y (+ 12/29 (* -3 x)))) |
(* -1 (* y (+ 12/29 (* -3 x)))) |
(* -1 (* y (+ 12/29 (* -3 x)))) |
(* 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))) |
(* 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))) |
(* 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) |
-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))) |
(* 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))) |
(* 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) |
(* 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))))) |
(* 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))))) |
(* 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)) |
(* 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) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* -12/29 y) |
(*.f64 #s(literal -12/29 binary64) y) |
(* -12/29 y) |
(*.f64 #s(literal -12/29 binary64) y) |
(* -12/29 y) |
(*.f64 #s(literal -12/29 binary64) y) |
(* -12/29 y) |
(*.f64 #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 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* y (- (* 3 x) 12/29)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* y (- (* 3 x) 12/29)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* y (- (* 3 x) 12/29)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* y (- (* 3 x) 12/29)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* y (- (* 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) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* -12/29 y) |
(*.f64 #s(literal -12/29 binary64) y) |
(* -12/29 y) |
(*.f64 #s(literal -12/29 binary64) y) |
(* -12/29 y) |
(*.f64 #s(literal -12/29 binary64) y) |
(* -12/29 y) |
(*.f64 #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 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* y (- (* 3 x) 12/29)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* y (- (* 3 x) 12/29)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* y (- (* 3 x) 12/29)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* y (- (* 3 x) 12/29)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* y (- (* 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) |
(* -1 (* y (+ 12/29 (* -3 x)))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* -1 (* y (+ 12/29 (* -3 x)))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* -1 (* y (+ 12/29 (* -3 x)))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* -1 (* y (+ 12/29 (* -3 x)))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* -12/29 y) |
(*.f64 #s(literal -12/29 binary64) y) |
(* -12/29 y) |
(*.f64 #s(literal -12/29 binary64) y) |
(* -12/29 y) |
(*.f64 #s(literal -12/29 binary64) y) |
(* -12/29 y) |
(*.f64 #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 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* -1 (* y (+ 12/29 (* -3 x)))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* -1 (* y (+ 12/29 (* -3 x)))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* -1 (* y (+ 12/29 (* -3 x)))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* -1 (* y (+ 12/29 (* -3 x)))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* y (- (* 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) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* -12/29 y) |
(*.f64 #s(literal -12/29 binary64) y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* -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) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* -12/29 y) |
(*.f64 #s(literal -12/29 binary64) y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
-4/29 |
#s(literal -4/29 binary64) |
(- x 4/29) |
(-.f64 x #s(literal 4/29 binary64)) |
(- x 4/29) |
(-.f64 x #s(literal 4/29 binary64)) |
(- x 4/29) |
(-.f64 x #s(literal 4/29 binary64)) |
(* -12/29 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 #s(literal 3 binary64) y) 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) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) 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) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) 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) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 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 #s(literal 3 binary64) y) 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 y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) 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 (-.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 #s(literal 3 binary64) y) x) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 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 #s(literal 3 binary64) y) x) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
x |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(-.f64 x #s(literal 4/29 binary64)) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(-.f64 x #s(literal 4/29 binary64)) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(-.f64 x #s(literal 4/29 binary64)) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ (+ 1/3 (* 4/87 (/ 1 x))) x) |
(/.f64 (+.f64 (/.f64 #s(literal 4/87 binary64) x) #s(literal 1/3 binary64)) x) |
(* -1 (/ (- (* -1 (/ (+ 4/87 (* 16/2523 (/ 1 x))) x)) 1/3) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 16/2523 binary64) x) #s(literal -4/87 binary64)) x) #s(literal -1/3 binary64)) x) |
(* -1 (/ (- (* -1 (/ (+ 4/87 (+ (/ 64/73167 (pow x 2)) (* 16/2523 (/ 1 x)))) x)) 1/3) x)) |
(/.f64 (-.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 16/2523 binary64) x) #s(literal -4/87 binary64)) x) #s(literal -1/3 binary64)) (/.f64 #s(literal -64/73167 binary64) (pow.f64 x #s(literal 3 binary64)))) x) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 92 |
| 0 | 45 | 88 |
| 1 | 152 | 82 |
| 2 | 877 | 82 |
| 0 | 8490 | 82 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (*.f64 y #s(literal -12/29 binary64))) |
(*.f64 y x) |
(*.f64 y #s(literal -12/29 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 (+ (* 3 (* y -4/29)) (* 3 (* y x))) (*.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 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) |
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) |
| Outputs |
|---|
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Compiled 20 784 to 1 719 computations (91.7% saved)
10 alts after pruning (2 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 197 | 1 | 1 198 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 4 | 5 |
| Total | 1 199 | 10 | 1 209 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (fma.f64 (*.f64 y x) #s(literal 3 binary64) (*.f64 y #s(literal -12/29 binary64))) |
| ▶ | 52.6% | (/.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) |
| ▶ | 84.7% | (*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) (-.f64 x #s(literal -4/29 binary64))) y) |
| ✓ | 99.6% | (*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
| ✓ | 53.0% | (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
| ✓ | 48.5% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) |
| ✓ | 52.9% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
| ✓ | 48.5% | #s(approx (+ (* 3 (* y -4/29)) (* 3 (* y x))) (*.f64 (*.f64 x y) #s(literal 3 binary64))) |
| ✓ | 48.5% | #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) |
Compiled 65 to 65 computations (0% saved)
| 1× | egg-herbie |
Found 6 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 | (fma.f64 x x #s(literal -16/841 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) (-.f64 x #s(literal -4/29 binary64))) | |
| cost-diff | 0 | (*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) (-.f64 x #s(literal -4/29 binary64))) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 62 |
| 0 | 25 | 62 |
| 1 | 39 | 62 |
| 2 | 64 | 62 |
| 3 | 119 | 62 |
| 4 | 238 | 62 |
| 5 | 303 | 62 |
| 6 | 347 | 62 |
| 7 | 381 | 62 |
| 8 | 403 | 62 |
| 9 | 408 | 62 |
| 0 | 408 | 60 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) (-.f64 x #s(literal -4/29 binary64))) y) |
(/.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) (-.f64 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)) |
x |
#s(literal -16/841 binary64) |
#s(literal 3 binary64) |
(-.f64 x #s(literal -4/29 binary64)) |
#s(literal -4/29 binary64) |
y |
(/.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 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) (-.f64 x #s(literal -4/29 binary64))) y) |
(*.f64 (/.f64 y (-.f64 x #s(literal -4/29 binary64))) (*.f64 #s(literal 3 binary64) (fma.f64 x x #s(literal -16/841 binary64)))) |
(/.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) (-.f64 x #s(literal -4/29 binary64))) |
(*.f64 (/.f64 #s(literal 3 binary64) (-.f64 x #s(literal -4/29 binary64))) (fma.f64 x x #s(literal -16/841 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)) |
x |
#s(literal -16/841 binary64) |
#s(literal 3 binary64) |
(-.f64 x #s(literal -4/29 binary64)) |
#s(literal -4/29 binary64) |
y |
(/.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 6 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.34375 | (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) | |
| accuracy | 30.001504406317167 | #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) | |
| accuracy | 0.0078125 | (fma.f64 x x #s(literal -16/841 binary64)) | |
| accuracy | 0.12890625 | (*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) (-.f64 x #s(literal -4/29 binary64))) y) | |
| accuracy | 0.58984375 | (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) | |
| accuracy | 15.653498768858565 | (/.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) (-.f64 x #s(literal -4/29 binary64))) |
| 35.0ms | 218× | 0 | valid |
| 6.0ms | 25× | 1 | valid |
| 5.0ms | 13× | 2 | valid |
Compiled 112 to 33 computations (70.5% saved)
const: 13.0ms (38.9% of total)ival-mult: 8.0ms (23.9% of total)ival-div: 5.0ms (15% of total)ival-add: 3.0ms (9% of total)ival-sub: 2.0ms (6% of total)adjust: 1.0ms (3% 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 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) (-.f64 x #s(literal -4/29 binary64))) y) (patch (*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) (-.f64 x #s(literal -4/29 binary64))) y) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) (-.f64 x #s(literal -4/29 binary64))) (patch (/.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) (-.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 (fma.f64 x x #s(literal -16/841 binary64)) (patch (fma.f64 x x #s(literal -16/841 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) (patch #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) (taylor 0 y) (#s(alt (*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) (-.f64 x #s(literal -4/29 binary64))) y) (patch (*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) (-.f64 x #s(literal -4/29 binary64))) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) (taylor 0 y) (#s(alt (*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) (-.f64 x #s(literal -4/29 binary64))) y) (patch (*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) (-.f64 x #s(literal -4/29 binary64))) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) (taylor 0 y) (#s(alt (*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) (-.f64 x #s(literal -4/29 binary64))) y) (patch (*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) (-.f64 x #s(literal -4/29 binary64))) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) (taylor 0 y) (#s(alt (*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) (-.f64 x #s(literal -4/29 binary64))) y) (patch (*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) (-.f64 x #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)) #s(literal -29/12 binary64))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) (taylor inf y) (#s(alt (*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) (-.f64 x #s(literal -4/29 binary64))) y) (patch (*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) (-.f64 x #s(literal -4/29 binary64))) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) (taylor inf y) (#s(alt (*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) (-.f64 x #s(literal -4/29 binary64))) y) (patch (*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) (-.f64 x #s(literal -4/29 binary64))) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) (taylor inf y) (#s(alt (*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) (-.f64 x #s(literal -4/29 binary64))) y) (patch (*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) (-.f64 x #s(literal -4/29 binary64))) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x))) (taylor inf y) (#s(alt (*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) (-.f64 x #s(literal -4/29 binary64))) y) (patch (*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) (-.f64 x #s(literal -4/29 binary64))) y) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) (-.f64 x #s(literal -4/29 binary64))) (patch (/.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) (-.f64 x #s(literal -4/29 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) (-.f64 x #s(literal -4/29 binary64))) (patch (/.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) (-.f64 x #s(literal -4/29 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow x 2)) (taylor -inf x) (#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 (* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2))))) (taylor -inf x) (#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 (* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2))))) (taylor -inf x) (#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 (* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2))))) (taylor -inf x) (#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 (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>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) (patch (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/3 x) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) (patch #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1/3 (* 4/87 (/ 1 x))) x) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) (patch #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (+ 4/87 (* 16/2523 (/ 1 x))) x)) 1/3) x)) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) (patch #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (+ 4/87 (+ (/ 64/73167 (pow x 2)) (* 16/2523 (/ 1 x)))) x)) 1/3) x)) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) (patch #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | 0 | ((* (/ (* (+ (* x x) -16/841) 3) (- x -4/29)) y) (/ (* (+ (* x x) -16/841) 3) (- x -4/29)) (* (+ (* x x) -16/841) 3) (+ (* x x) -16/841) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29))) |
| 2.0ms | y | @ | 0 | ((* (/ (* (+ (* x x) -16/841) 3) (- x -4/29)) y) (/ (* (+ (* x x) -16/841) 3) (- x -4/29)) (* (+ (* x x) -16/841) 3) (+ (* x x) -16/841) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29))) |
| 2.0ms | x | @ | inf | ((* (/ (* (+ (* x x) -16/841) 3) (- x -4/29)) y) (/ (* (+ (* x x) -16/841) 3) (- x -4/29)) (* (+ (* x x) -16/841) 3) (+ (* x x) -16/841) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29))) |
| 2.0ms | x | @ | -inf | ((* (/ (* (+ (* x x) -16/841) 3) (- x -4/29)) y) (/ (* (+ (* x x) -16/841) 3) (- x -4/29)) (* (+ (* x x) -16/841) 3) (+ (* x x) -16/841) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29))) |
| 1.0ms | y | @ | inf | ((* (/ (* (+ (* x x) -16/841) 3) (- x -4/29)) y) (/ (* (+ (* x x) -16/841) 3) (- x -4/29)) (* (+ (* x x) -16/841) 3) (+ (* x x) -16/841) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 106 | 682 |
| 1 | 252 | 682 |
| 2 | 565 | 682 |
| 3 | 1215 | 682 |
| 4 | 2610 | 674 |
| 5 | 5051 | 674 |
| 0 | 8415 | 597 |
| 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 (- (* 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 (- (* 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 (- (* 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) |
-48/841 |
(- (* 3 (pow x 2)) 48/841) |
(- (* 3 (pow x 2)) 48/841) |
(- (* 3 (pow x 2)) 48/841) |
-16/841 |
(- (pow x 2) 16/841) |
(- (pow x 2) 16/841) |
(- (pow x 2) 16/841) |
(* -12/29 y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(+ (* -12/29 y) (* 3 (* x y))) |
(+ (* -12/29 y) (* 3 (* x y))) |
-29/12 |
(- (* -841/48 x) 29/12) |
(- (* x (- (* -24389/192 x) 841/48)) 29/12) |
(- (* x (- (* x (- (* -707281/768 x) 24389/192)) 841/48)) 29/12) |
(* 3 (* x y)) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* 3 x) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
(* 3 (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))))) |
(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)) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(/ 1/3 x) |
(/ (+ 1/3 (* 4/87 (/ 1 x))) x) |
(/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (* 4/87 (/ 1 x)))) x) |
(/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (+ (* 4/87 (/ 1 x)) (* 64/73167 (/ 1 (pow x 3)))))) x) |
(* 3 (* x y)) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* 3 x) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(* 3 (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))))) |
(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))))) |
(/ 1/3 x) |
(/ (+ 1/3 (* 4/87 (/ 1 x))) x) |
(* -1 (/ (- (* -1 (/ (+ 4/87 (* 16/2523 (/ 1 x))) x)) 1/3) x)) |
(* -1 (/ (- (* -1 (/ (+ 4/87 (+ (/ 64/73167 (pow x 2)) (* 16/2523 (/ 1 x)))) x)) 1/3) x)) |
| Outputs |
|---|
(* 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 (- (* 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 (- (* 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 (- (* 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)) |
-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)) |
-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)) |
(* -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)) |
(* 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 (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)) |
(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 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 (fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 64/73167 binary64) x) #s(literal -16/2523 binary64)) #s(literal 4/87 binary64)) x) #s(literal -1/3 binary64)) x) |
(* 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 (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)) |
(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 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 (fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 64/73167 binary64) x) #s(literal -16/2523 binary64)) #s(literal 4/87 binary64)) x) #s(literal -1/3 binary64)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 52 |
| 0 | 25 | 52 |
| 1 | 104 | 42 |
| 2 | 647 | 38 |
| 3 | 6293 | 38 |
| 0 | 8217 | 36 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) (-.f64 x #s(literal -4/29 binary64))) y) |
(/.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) (-.f64 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)) |
(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) |
#s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) |
| Outputs |
|---|
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Compiled 11 673 to 1 796 computations (84.6% saved)
10 alts after pruning (1 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 632 | 1 | 633 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 1 | 2 |
| Done | 0 | 8 | 8 |
| Total | 633 | 10 | 643 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (fma.f64 (*.f64 y x) #s(literal 3 binary64) (*.f64 y #s(literal -12/29 binary64))) |
| ✓ | 52.6% | (/.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) |
| 33.2% | (*.f64 (/.f64 (*.f64 #s(approx (+ (* x x) -16/841) (*.f64 x x)) #s(literal 3 binary64)) (-.f64 x #s(literal -4/29 binary64))) y) | |
| ✓ | 99.6% | (*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
| ✓ | 53.0% | (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
| ✓ | 48.5% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) |
| ✓ | 52.9% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
| ✓ | 48.5% | #s(approx (+ (* 3 (* y -4/29)) (* 3 (* y x))) (*.f64 (*.f64 x y) #s(literal 3 binary64))) |
| ✓ | 48.5% | #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) |
Compiled 184 to 123 computations (33.2% saved)
| Inputs |
|---|
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) |
#s(approx (+ (* 3 (* y -4/29)) (* 3 (* y x))) (*.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 (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 (*.f64 #s(literal 3 binary64) x) y (*.f64 #s(literal -12/29 binary64) y)) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (*.f64 y #s(literal -12/29 binary64))) |
(fma.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 y x))) |
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(approx (+ (* x x) -16/841) (*.f64 x x)) #s(literal 3 binary64)) (-.f64 x #s(literal -4/29 binary64))) y) |
(*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) (-.f64 x #s(literal -4/29 binary64))) y) |
| Outputs |
|---|
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
5 calls:
| 5.0ms | y |
| 5.0ms | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
| 5.0ms | x |
| 5.0ms | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
| 5.0ms | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 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 (+ (* 3 (* y -4/29)) (* 3 (* y x))) (*.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))) |
| 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 (+ (* 3 (* y -4/29)) (* 3 (* y x))) (*.f64 (*.f64 x y) #s(literal 3 binary64))) |
5 calls:
| 3.0ms | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
| 3.0ms | y |
| 3.0ms | x |
| 2.0ms | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
| 2.0ms | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.7% | 3 | x |
| 61.8% | 5 | y |
| 86.7% | 3 | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
| 97.7% | 3 | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
| 97.7% | 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)) |
| Outputs |
|---|
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) |
3 calls:
| 2.0ms | x |
| 2.0ms | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
| 2.0ms | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.7% | 3 | x |
| 97.7% | 3 | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
| 97.7% | 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) |
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | (*.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 |
|---|---|---|
| 52.9% | 1 | y |
| 52.9% | 1 | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
| 52.9% | 1 | x |
| 52.9% | 1 | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
| 52.9% | 1 | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
Compiled 23 to 27 computations (-17.4% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.13793103217531574 | 10.907449293737136 |
| 0.0ms | -59.06320255040073 | -0.137935941037235 |
Compiled 12 to 14 computations (-16.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.13793103217531574 | 10.907449293737136 |
| 0.0ms | -59.06320255040073 | -0.137935941037235 |
Compiled 12 to 14 computations (-16.7% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 121 |
| 1 | 45 | 121 |
| 2 | 54 | 121 |
| 3 | 60 | 121 |
| 4 | 65 | 121 |
| 5 | 67 | 121 |
| 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 -50 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 (+ (* 3 (* y -4/29)) (* 3 (* y x))) (*.f64 (*.f64 x y) #s(literal 3 binary64))))) |
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -50 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 -50 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 (+ (* 3 (* y -4/29)) (* 3 (* y x))) (*.f64 (*.f64 x y) #s(literal 3 binary64))))) |
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -50 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 (+ (* 3 (* y -4/29)) (* 3 (* y x))) (*.f64 (*.f64 y x) #s(literal 3 binary64))))) |
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -50 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 |
| 0 | 48 | 1286 |
| 1 | 132 | 1286 |
| 2 | 352 | 1286 |
| 3 | 680 | 1286 |
| 4 | 1592 | 1286 |
| 5 | 2689 | 1286 |
| 6 | 3777 | 1286 |
| 7 | 4262 | 1286 |
| 8 | 4430 | 1286 |
| 9 | 4450 | 1286 |
| 10 | 4464 | 1286 |
| 11 | 5022 | 1286 |
| 12 | 5322 | 1286 |
| 13 | 5547 | 1286 |
| 14 | 5827 | 1286 |
| 15 | 5831 | 1286 |
| 16 | 5835 | 1286 |
| 17 | 5843 | 1286 |
| 18 | 5843 | 1286 |
| 19 | 7887 | 1286 |
| 0 | 8199 | 1154 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 132 to 79 computations (40.2% saved)
(negabs y)
Compiled 204 to 108 computations (47.1% saved)
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