
Time bar (total: 7.1s)
| 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 9 computations (18.2% saved)
| 359.0ms | 1 870× | 1 | valid |
| 333.0ms | 6 384× | 0 | valid |
| 0.0ms | 2× | 2 | valid |
ival-mult: 247.0ms (53.9% of total)ival-sub: 116.0ms (25.3% of total)ival-add: 47.0ms (10.2% of total)adjust: 36.0ms (7.8% of total)ival-true: 6.0ms (1.3% of total)exact: 5.0ms (1.1% of total)ival-assert: 3.0ms (0.7% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 69 | 3 | (1162469557167581.0 2.7396645407574964e-181) | 0 | - | (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) y) |
| 0 | 0 | - | 0 | - | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) x) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
+.f64 | (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) | cancellation | 72 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 69 | 0 |
| - | 3 | 184 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 69 | 0 | 0 |
| - | 3 | 0 | 184 |
| number | freq |
|---|---|
| 0 | 184 |
| 1 | 72 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 20.0ms | 378× | 0 | valid |
| 16.0ms | 134× | 1 | valid |
Compiled 65 to 25 computations (61.5% saved)
ival-sub: 8.0ms (43.4% of total)ival-mult: 4.0ms (21.7% of total)adjust: 3.0ms (16.3% of total)ival-add: 3.0ms (16.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
| 28 144× | lower-fma.f64 |
| 28 144× | lower-fma.f32 |
| 3 456× | lower-*.f32 |
| 3 454× | lower-*.f64 |
| 2 596× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 53 |
| 1 | 44 | 46 |
| 2 | 143 | 45 |
| 3 | 611 | 45 |
| 4 | 2108 | 35 |
| 5 | 3651 | 35 |
| 6 | 4679 | 35 |
| 7 | 5134 | 35 |
| 8 | 5399 | 35 |
| 9 | 5575 | 35 |
| 10 | 5676 | 35 |
| 11 | 5796 | 35 |
| 12 | 6119 | 35 |
| 13 | 6781 | 35 |
| 14 | 7164 | 35 |
| 15 | 7468 | 35 |
| 16 | 7845 | 35 |
| 0 | 7 | 9 |
| 0 | 11 | 9 |
| 1 | 19 | 9 |
| 2 | 38 | 9 |
| 3 | 106 | 9 |
| 4 | 361 | 7 |
| 5 | 1297 | 7 |
| 6 | 3183 | 7 |
| 7 | 4881 | 7 |
| 8 | 5607 | 7 |
| 9 | 5867 | 7 |
| 10 | 6063 | 7 |
| 11 | 6155 | 7 |
| 12 | 6313 | 7 |
| 13 | 6692 | 7 |
| 14 | 6905 | 7 |
| 15 | 7057 | 7 |
| 16 | 7133 | 7 |
| 17 | 7176 | 7 |
| 18 | 7308 | 7 |
| 19 | 7814 | 7 |
| 0 | 8020 | 6 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) |
| Outputs |
|---|
(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
Compiled 11 to 7 computations (36.4% saved)
Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 74.7% | (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) |
Compiled 11 to 7 computations (36.4% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) | |
| cost-diff | 320 | (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) |
| 28 144× | lower-fma.f64 |
| 28 144× | lower-fma.f32 |
| 3 456× | lower-*.f32 |
| 3 454× | lower-*.f64 |
| 2 596× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 25 |
| 0 | 11 | 25 |
| 1 | 19 | 25 |
| 2 | 38 | 25 |
| 3 | 106 | 25 |
| 4 | 361 | 23 |
| 5 | 1297 | 23 |
| 6 | 3183 | 23 |
| 7 | 4881 | 23 |
| 8 | 5607 | 23 |
| 9 | 5867 | 23 |
| 10 | 6063 | 23 |
| 11 | 6155 | 23 |
| 12 | 6313 | 23 |
| 13 | 6692 | 23 |
| 14 | 6905 | 23 |
| 15 | 7057 | 23 |
| 16 | 7133 | 23 |
| 17 | 7176 | 23 |
| 18 | 7308 | 23 |
| 19 | 7814 | 23 |
| 0 | 8020 | 22 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) |
x |
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
(-.f64 #s(literal 1 binary64) y) |
y |
| Outputs |
|---|
(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
x |
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
(-.f64 #s(literal 1 binary64) y) |
y |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 #s(literal 1 binary64) y) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.02734375 | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) | |
| accuracy | 16.157611519180982 | (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) |
| 71.0ms | 189× | 0 | valid |
| 7.0ms | 67× | 1 | valid |
Compiled 27 to 9 computations (66.7% saved)
ival-mult: 64.0ms (90.8% of total)ival-sub: 3.0ms (4.3% of total)adjust: 1.0ms (1.4% of total)ival-add: 1.0ms (1.4% 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 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) (patch (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (- 1 y) (taylor 0 x) (#s(alt (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) (patch (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) (taylor 0 x) (#s(alt (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) (patch (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) (taylor 0 x) (#s(alt (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) (patch (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) (taylor 0 x) (#s(alt (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) (patch (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 (- 1 y)))) (taylor inf x) (#s(alt (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) (patch (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) (taylor inf x) (#s(alt (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) (patch (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) (taylor inf x) (#s(alt (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) (patch (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) (taylor inf x) (#s(alt (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) (patch (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) (patch (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) (taylor -inf x) (#s(alt (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) (patch (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) (taylor -inf x) (#s(alt (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) (patch (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) (taylor -inf x) (#s(alt (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) (patch (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) (patch (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* y (- 1 x)))) (taylor 0 y) (#s(alt (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) (patch (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* y (- 1 x)))) (taylor 0 y) (#s(alt (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) (patch (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* y (- 1 x)))) (taylor 0 y) (#s(alt (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) (patch (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- 1 x))) (taylor inf y) (#s(alt (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) (patch (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 (- 1 x)) (/ 1 y))) (taylor inf y) (#s(alt (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) (patch (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 (- 1 x)) (/ 1 y))) (taylor inf y) (#s(alt (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) (patch (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 (- 1 x)) (/ 1 y))) (taylor inf y) (#s(alt (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) (patch (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- 1 x))) (taylor -inf y) (#s(alt (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) (patch (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- 1 (+ x (/ 1 y))))) (taylor -inf y) (#s(alt (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) (patch (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- 1 (+ x (/ 1 y))))) (taylor -inf y) (#s(alt (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) (patch (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- 1 (+ x (/ 1 y))))) (taylor -inf y) (#s(alt (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) (patch (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (- 1 y) (taylor 0 x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* -1 (* x (- 1 y)))) y) (taylor 0 x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* -1 (* x (- 1 y)))) y) (taylor 0 x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* -1 (* x (- 1 y)))) y) (taylor 0 x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 y))) (taylor inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ (* -1 (- 1 y)) (/ 1 x)) (/ y x))) (taylor inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ (* -1 (- 1 y)) (/ 1 x)) (/ y x))) (taylor inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ (* -1 (- 1 y)) (/ 1 x)) (/ y x))) (taylor inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 y))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ 1 (* -1 (/ (- 1 y) x))) y))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ 1 (* -1 (/ (- 1 y) x))) y))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ 1 (* -1 (/ (- 1 y) x))) y))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (- 1 x) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* -1 (* y (- 1 x)))) x) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* -1 (* y (- 1 x)))) x) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* -1 (* y (- 1 x)))) x) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- 1 x))) (taylor inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y))) (taylor inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y))) (taylor inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y))) (taylor inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- 1 x))) (taylor -inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (+ 1 (* -1 (/ (- 1 x) y))) x))) (taylor -inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (+ 1 (* -1 (/ (- 1 x) y))) x))) (taylor -inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (+ 1 (* -1 (/ (- 1 x) y))) x))) (taylor -inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- 1 (/ 1 y)))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- 1 (/ 1 y)))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- 1 (/ 1 y)))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (+ x (* (- 1 x) (- 1 y))) |
| 1.0ms | x | @ | inf | (+ x (* (- 1 x) (- 1 y))) |
| 0.0ms | y | @ | -inf | (+ x (* (- 1 x) (- 1 y))) |
| 0.0ms | y | @ | inf | (+ x (* (- 1 x) (- 1 y))) |
| 0.0ms | x | @ | -inf | (+ x (* (- 1 x) (- 1 y))) |
| 1× | egg-herbie |
| 20 464× | lower-fma.f64 |
| 20 464× | lower-fma.f32 |
| 3 336× | lower-+.f64 |
| 3 336× | lower-+.f32 |
| 2 646× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 522 |
| 1 | 186 | 484 |
| 2 | 490 | 362 |
| 3 | 1713 | 362 |
| 4 | 7522 | 362 |
| 0 | 8222 | 344 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- 1 y) |
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) |
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) |
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) |
(* x (+ 1 (* -1 (- 1 y)))) |
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) |
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) |
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) |
(* x y) |
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) |
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) |
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) |
1 |
(+ 1 (* -1 (* y (- 1 x)))) |
(+ 1 (* -1 (* y (- 1 x)))) |
(+ 1 (* -1 (* y (- 1 x)))) |
(* -1 (* y (- 1 x))) |
(* y (+ (* -1 (- 1 x)) (/ 1 y))) |
(* y (+ (* -1 (- 1 x)) (/ 1 y))) |
(* y (+ (* -1 (- 1 x)) (/ 1 y))) |
(* -1 (* y (- 1 x))) |
(* -1 (* y (- 1 (+ x (/ 1 y))))) |
(* -1 (* y (- 1 (+ x (/ 1 y))))) |
(* -1 (* y (- 1 (+ x (/ 1 y))))) |
(- 1 y) |
(- (+ 1 (* -1 (* x (- 1 y)))) y) |
(- (+ 1 (* -1 (* x (- 1 y)))) y) |
(- (+ 1 (* -1 (* x (- 1 y)))) y) |
(* -1 (* x (- 1 y))) |
(* x (- (+ (* -1 (- 1 y)) (/ 1 x)) (/ y x))) |
(* x (- (+ (* -1 (- 1 y)) (/ 1 x)) (/ y x))) |
(* x (- (+ (* -1 (- 1 y)) (/ 1 x)) (/ y x))) |
(* -1 (* x (- 1 y))) |
(* -1 (* x (- (+ 1 (* -1 (/ (- 1 y) x))) y))) |
(* -1 (* x (- (+ 1 (* -1 (/ (- 1 y) x))) y))) |
(* -1 (* x (- (+ 1 (* -1 (/ (- 1 y) x))) y))) |
(- 1 x) |
(- (+ 1 (* -1 (* y (- 1 x)))) x) |
(- (+ 1 (* -1 (* y (- 1 x)))) x) |
(- (+ 1 (* -1 (* y (- 1 x)))) x) |
(* -1 (* y (- 1 x))) |
(* y (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y))) |
(* y (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y))) |
(* y (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y))) |
(* -1 (* y (- 1 x))) |
(* -1 (* y (- (+ 1 (* -1 (/ (- 1 x) y))) x))) |
(* -1 (* y (- (+ 1 (* -1 (/ (- 1 x) y))) x))) |
(* -1 (* y (- (+ 1 (* -1 (/ (- 1 x) y))) x))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* -1 y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
| Outputs |
|---|
(- 1 y) |
(-.f64 #s(literal 1 binary64) y) |
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) |
(fma.f64 x y (-.f64 #s(literal 1 binary64) y)) |
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) |
(fma.f64 x y (-.f64 #s(literal 1 binary64) y)) |
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) |
(fma.f64 x y (-.f64 #s(literal 1 binary64) y)) |
(* x (+ 1 (* -1 (- 1 y)))) |
(*.f64 x y) |
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) |
(fma.f64 x y (-.f64 #s(literal 1 binary64) y)) |
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) |
(fma.f64 x y (-.f64 #s(literal 1 binary64) y)) |
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) |
(fma.f64 x y (-.f64 #s(literal 1 binary64) y)) |
(* x y) |
(*.f64 x y) |
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) |
(fma.f64 x y (-.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) |
(fma.f64 x y (-.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) |
(fma.f64 x y (-.f64 #s(literal 1 binary64) y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* y (- 1 x)))) |
(fma.f64 x y (-.f64 #s(literal 1 binary64) y)) |
(+ 1 (* -1 (* y (- 1 x)))) |
(fma.f64 x y (-.f64 #s(literal 1 binary64) y)) |
(+ 1 (* -1 (* y (- 1 x)))) |
(fma.f64 x y (-.f64 #s(literal 1 binary64) y)) |
(* -1 (* y (- 1 x))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) y) |
(* y (+ (* -1 (- 1 x)) (/ 1 y))) |
(fma.f64 x y (-.f64 #s(literal 1 binary64) y)) |
(* y (+ (* -1 (- 1 x)) (/ 1 y))) |
(fma.f64 x y (-.f64 #s(literal 1 binary64) y)) |
(* y (+ (* -1 (- 1 x)) (/ 1 y))) |
(fma.f64 x y (-.f64 #s(literal 1 binary64) y)) |
(* -1 (* y (- 1 x))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) y) |
(* -1 (* y (- 1 (+ x (/ 1 y))))) |
(fma.f64 x y (-.f64 #s(literal 1 binary64) y)) |
(* -1 (* y (- 1 (+ x (/ 1 y))))) |
(fma.f64 x y (-.f64 #s(literal 1 binary64) y)) |
(* -1 (* y (- 1 (+ x (/ 1 y))))) |
(fma.f64 x y (-.f64 #s(literal 1 binary64) y)) |
(- 1 y) |
(-.f64 #s(literal 1 binary64) y) |
(- (+ 1 (* -1 (* x (- 1 y)))) y) |
(*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) |
(- (+ 1 (* -1 (* x (- 1 y)))) y) |
(*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) |
(- (+ 1 (* -1 (* x (- 1 y)))) y) |
(*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) |
(* -1 (* x (- 1 y))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(* x (- (+ (* -1 (- 1 y)) (/ 1 x)) (/ y x))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) |
(* x (- (+ (* -1 (- 1 y)) (/ 1 x)) (/ y x))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) |
(* x (- (+ (* -1 (- 1 y)) (/ 1 x)) (/ y x))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) |
(* -1 (* x (- 1 y))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(* -1 (* x (- (+ 1 (* -1 (/ (- 1 y) x))) y))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) |
(* -1 (* x (- (+ 1 (* -1 (/ (- 1 y) x))) y))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) |
(* -1 (* x (- (+ 1 (* -1 (/ (- 1 y) x))) y))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
(- (+ 1 (* -1 (* y (- 1 x)))) x) |
(*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) |
(- (+ 1 (* -1 (* y (- 1 x)))) x) |
(*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) |
(- (+ 1 (* -1 (* y (- 1 x)))) x) |
(*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) |
(* -1 (* y (- 1 x))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) y) |
(* y (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) |
(* y (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) |
(* y (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) |
(* -1 (* y (- 1 x))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) y) |
(* -1 (* y (- (+ 1 (* -1 (/ (- 1 x) y))) x))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) |
(* -1 (* y (- (+ 1 (* -1 (/ (- 1 x) y))) x))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) |
(* -1 (* y (- (+ 1 (* -1 (/ (- 1 x) y))) x))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
| 5 364× | lower-fma.f64 |
| 5 364× | lower-fma.f32 |
| 3 608× | lower-*.f32 |
| 3 606× | lower-*.f64 |
| 2 212× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 22 |
| 0 | 11 | 22 |
| 1 | 52 | 22 |
| 2 | 431 | 22 |
| 3 | 5487 | 22 |
| 0 | 8681 | 21 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) x) |
(-.f64 #s(literal 1 binary64) y) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (fma.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x)) (-.f64 #s(literal 1 binary64) y) x) (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x) x)) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x) x) (*.f64 x x)) (fma.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x)) (-.f64 #s(literal 1 binary64) y) x))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x) x) (*.f64 x x))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x) (neg.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x)) (*.f64 x x)) (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x) x)) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x) (neg.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x)) (*.f64 x x)) (fma.f64 x x (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x)) (-.f64 #s(literal 1 binary64) y)) (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x) (neg.f64 x)))))) (fma.f64 x x (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x)) (-.f64 #s(literal 1 binary64) y)) (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x) (neg.f64 x))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x) (neg.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x)) (*.f64 x x)) (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x) x)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)) x (*.f64 (*.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x) (neg.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x) (neg.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x)))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x) (neg.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x)))))) (fma.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x) (neg.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x))) (-.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x) (neg.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x))) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
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(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) |
(/.f64 (/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) (fma.f64 y y #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))) (fma.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (neg.f64 y))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) #s(literal 1 binary64)) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 y y))) (+.f64 #s(literal -1 binary64) (neg.f64 y))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) (*.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))) (*.f64 (*.f64 (*.f64 y y) (/.f64 y (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))) (*.f64 (*.f64 y y) (/.f64 y (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (*.f64 (*.f64 y y) (/.f64 y (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))))) |
(/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 (neg.f64 y) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) (*.f64 (*.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (fma.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))) (*.f64 (*.f64 (*.f64 (*.f64 y y) (/.f64 y (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))) (*.f64 (*.f64 y y) (/.f64 y (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))) (*.f64 (*.f64 y y) (/.f64 y (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 y y) (/.f64 y (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))) (*.f64 (*.f64 y y) (/.f64 y (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (*.f64 (*.f64 y y) (/.f64 y (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))))))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))) |
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y y))) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (*.f64 (*.f64 y y) y))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y y #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) (*.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) |
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (+.f64 #s(literal -1 binary64) (neg.f64 y))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) |
(neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 y))) |
(fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)))) (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))) |
(fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y)))) (fma.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) (fma.f64 y y #s(literal 1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)))) (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y y) (fma.f64 y y y)))) (-.f64 #s(literal 1 binary64) (fma.f64 y y y)) (neg.f64 (*.f64 (*.f64 y y) (/.f64 y (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 y y y) (fma.f64 y y y)) (fma.f64 y y y) #s(literal 1 binary64))) (fma.f64 (fma.f64 y y y) (-.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 (*.f64 y y) (/.f64 y (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))) |
(fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64)) |
(fma.f64 (neg.f64 y) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))) |
(fma.f64 y #s(literal -1 binary64) #s(literal 1 binary64)) |
(fma.f64 y #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (neg.f64 (*.f64 (*.f64 y y) (/.f64 y (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))))) |
(fma.f64 #s(literal 1 binary64) (neg.f64 y) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) y #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (*.f64 (*.f64 y y) (/.f64 y (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))) |
(-.f64 #s(literal 0 binary64) (-.f64 y #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (neg.f64 y)) |
(-.f64 #s(literal 1 binary64) y) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) #s(literal -1 binary64))) |
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (neg.f64 (*.f64 (*.f64 y y) (/.f64 y (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))))) |
(+.f64 (neg.f64 y) #s(literal 1 binary64)) |
(+.f64 y #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 y))) |
(+.f64 #s(literal 1 binary64) (neg.f64 y)) |
(+.f64 #s(literal 1 binary64) y) |
Compiled 14 196 to 1 518 computations (89.3% saved)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 590 | 5 | 595 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 591 | 5 | 596 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y (-.f64 #s(literal 1 binary64) y))) |
| ▶ | 58.8% | #s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y)) |
| ▶ | 67.0% | #s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 (-.f64 x #s(literal 1 binary64)) y)) |
| ▶ | 41.1% | #s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 x y)) |
| ▶ | 33.7% | #s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64)) |
Compiled 66 to 40 computations (39.4% saved)
| 1× | egg-herbie |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (-.f64 x #s(literal 1 binary64)) y) | |
| cost-diff | 0 | #s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 (-.f64 x #s(literal 1 binary64)) y)) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | #s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 x y)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | #s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y)) | |
| cost-diff | 0 | #s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | (fma.f64 x y (-.f64 #s(literal 1 binary64) y)) | |
| cost-diff | 0 | #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y (-.f64 #s(literal 1 binary64) y))) |
| 28 432× | lower-fma.f32 |
| 28 430× | lower-fma.f64 |
| 3 312× | lower-*.f32 |
| 3 308× | lower-*.f64 |
| 2 644× | lower-+.f64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 102 |
| 0 | 22 | 102 |
| 1 | 38 | 102 |
| 2 | 66 | 102 |
| 3 | 150 | 102 |
| 4 | 398 | 87 |
| 5 | 1363 | 87 |
| 6 | 3380 | 87 |
| 7 | 5013 | 87 |
| 8 | 5729 | 87 |
| 9 | 5988 | 87 |
| 10 | 6186 | 87 |
| 11 | 6278 | 87 |
| 12 | 6408 | 87 |
| 13 | 6839 | 87 |
| 14 | 7060 | 87 |
| 15 | 7212 | 87 |
| 16 | 7288 | 87 |
| 17 | 7455 | 87 |
| 18 | 7475 | 87 |
| 19 | 7977 | 87 |
| 0 | 8009 | 87 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y (-.f64 #s(literal 1 binary64) y))) |
(fma.f64 x y (-.f64 #s(literal 1 binary64) y)) |
x |
y |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 x y)) |
(*.f64 x y) |
x |
y |
#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 (-.f64 x #s(literal 1 binary64)) y)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) y) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
y |
| Outputs |
|---|
#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y (-.f64 #s(literal 1 binary64) y))) |
#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (-.f64 #s(literal 1 binary64) y))) |
(fma.f64 x y (-.f64 #s(literal 1 binary64) y)) |
(fma.f64 y x (-.f64 #s(literal 1 binary64) y)) |
x |
y |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 x y)) |
#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 y x)) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 (-.f64 x #s(literal 1 binary64)) y)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) y) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
y |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 x #s(literal 1 binary64)) | |
| accuracy | 0.01953125 | (*.f64 (-.f64 x #s(literal 1 binary64)) y) | |
| accuracy | 21.099877141769515 | #s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 (-.f64 x #s(literal 1 binary64)) y)) | |
| accuracy | 0 | (*.f64 x y) | |
| accuracy | 37.66693507808991 | #s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 x y)) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) y) | |
| accuracy | 26.3501364620464 | #s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y)) | |
| accuracy | 42.4145112219463 | #s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64)) | |
| accuracy | 0 | (fma.f64 x y (-.f64 #s(literal 1 binary64) y)) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) y) | |
| accuracy | 0 | #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y (-.f64 #s(literal 1 binary64) y))) |
| 15.0ms | 189× | 0 | valid |
| 14.0ms | 67× | 1 | valid |
Compiled 82 to 13 computations (84.1% saved)
ival-mult: 5.0ms (33.7% of total)ival-sub: 4.0ms (27% of total)ival-add: 3.0ms (20.2% of total)adjust: 2.0ms (13.5% 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 #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ()) |
#s(alt (fma.f64 x y (-.f64 #s(literal 1 binary64) y)) (patch (fma.f64 x y (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ()) |
#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64)) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y)) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 x y)) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 x y)) #<representation binary64>) () ()) |
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ()) |
#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 (-.f64 x #s(literal 1 binary64)) y)) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 (-.f64 x #s(literal 1 binary64)) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ()) |
#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (- 1 y) (taylor 0 x) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) (taylor 0 x) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) (taylor 0 x) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) (taylor 0 x) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 (- 1 y)))) (taylor inf x) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) (taylor inf x) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) (taylor inf x) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) (taylor inf x) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) (taylor -inf x) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) (taylor -inf x) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) (taylor -inf x) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* y (- 1 x)))) (taylor 0 y) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* y (- 1 x)))) (taylor 0 y) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* y (- 1 x)))) (taylor 0 y) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- 1 x))) (taylor inf y) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 (- 1 x)) (/ 1 y))) (taylor inf y) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 (- 1 x)) (/ 1 y))) (taylor inf y) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 (- 1 x)) (/ 1 y))) (taylor inf y) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- 1 x))) (taylor -inf y) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- 1 (+ x (/ 1 y))))) (taylor -inf y) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- 1 (+ x (/ 1 y))))) (taylor -inf y) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- 1 (+ x (/ 1 y))))) (taylor -inf y) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (- 1 y) (taylor 0 x) (#s(alt (fma.f64 x y (-.f64 #s(literal 1 binary64) y)) (patch (fma.f64 x y (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* x y)) y) (taylor 0 x) (#s(alt (fma.f64 x y (-.f64 #s(literal 1 binary64) y)) (patch (fma.f64 x y (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* x y)) y) (taylor 0 x) (#s(alt (fma.f64 x y (-.f64 #s(literal 1 binary64) y)) (patch (fma.f64 x y (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* x y)) y) (taylor 0 x) (#s(alt (fma.f64 x y (-.f64 #s(literal 1 binary64) y)) (patch (fma.f64 x y (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (fma.f64 x y (-.f64 #s(literal 1 binary64) y)) (patch (fma.f64 x y (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ y (/ 1 x)) (/ y x))) (taylor inf x) (#s(alt (fma.f64 x y (-.f64 #s(literal 1 binary64) y)) (patch (fma.f64 x y (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ y (/ 1 x)) (/ y x))) (taylor inf x) (#s(alt (fma.f64 x y (-.f64 #s(literal 1 binary64) y)) (patch (fma.f64 x y (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ y (/ 1 x)) (/ y x))) (taylor inf x) (#s(alt (fma.f64 x y (-.f64 #s(literal 1 binary64) y)) (patch (fma.f64 x y (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (fma.f64 x y (-.f64 #s(literal 1 binary64) y)) (patch (fma.f64 x y (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (- 1 y) x))))) (taylor -inf x) (#s(alt (fma.f64 x y (-.f64 #s(literal 1 binary64) y)) (patch (fma.f64 x y (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (- 1 y) x))))) (taylor -inf x) (#s(alt (fma.f64 x y (-.f64 #s(literal 1 binary64) y)) (patch (fma.f64 x y (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (- 1 y) x))))) (taylor -inf x) (#s(alt (fma.f64 x y (-.f64 #s(literal 1 binary64) y)) (patch (fma.f64 x y (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (fma.f64 x y (-.f64 #s(literal 1 binary64) y)) (patch (fma.f64 x y (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* y (- x 1))) (taylor 0 y) (#s(alt (fma.f64 x y (-.f64 #s(literal 1 binary64) y)) (patch (fma.f64 x y (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* y (- x 1))) (taylor 0 y) (#s(alt (fma.f64 x y (-.f64 #s(literal 1 binary64) y)) (patch (fma.f64 x y (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* y (- x 1))) (taylor 0 y) (#s(alt (fma.f64 x y (-.f64 #s(literal 1 binary64) y)) (patch (fma.f64 x y (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- x 1)) (taylor inf y) (#s(alt (fma.f64 x y (-.f64 #s(literal 1 binary64) y)) (patch (fma.f64 x y (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ x (/ 1 y)) 1)) (taylor inf y) (#s(alt (fma.f64 x y (-.f64 #s(literal 1 binary64) y)) (patch (fma.f64 x y (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ x (/ 1 y)) 1)) (taylor inf y) (#s(alt (fma.f64 x y (-.f64 #s(literal 1 binary64) y)) (patch (fma.f64 x y (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ x (/ 1 y)) 1)) (taylor inf y) (#s(alt (fma.f64 x y (-.f64 #s(literal 1 binary64) y)) (patch (fma.f64 x y (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ 1 (* -1 x)))) (taylor -inf y) (#s(alt (fma.f64 x y (-.f64 #s(literal 1 binary64) y)) (patch (fma.f64 x y (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (+ 1 (* -1 x)) (/ 1 y)))) (taylor -inf y) (#s(alt (fma.f64 x y (-.f64 #s(literal 1 binary64) y)) (patch (fma.f64 x y (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (+ 1 (* -1 x)) (/ 1 y)))) (taylor -inf y) (#s(alt (fma.f64 x y (-.f64 #s(literal 1 binary64) y)) (patch (fma.f64 x y (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (+ 1 (* -1 x)) (/ 1 y)))) (taylor -inf y) (#s(alt (fma.f64 x y (-.f64 #s(literal 1 binary64) y)) (patch (fma.f64 x y (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- 1 (/ 1 y)))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- 1 (/ 1 y)))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- 1 (/ 1 y)))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (- 1 y) (taylor 0 x) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64)) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) (taylor 0 x) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64)) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) (taylor 0 x) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64)) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) (taylor 0 x) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64)) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 (- 1 y)))) (taylor inf x) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64)) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) (taylor inf x) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64)) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) (taylor inf x) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64)) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) (taylor inf x) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64)) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64)) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) (taylor -inf x) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64)) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) (taylor -inf x) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64)) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) (taylor -inf x) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64)) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64)) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* y (- 1 x)))) (taylor 0 y) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64)) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* y (- 1 x)))) (taylor 0 y) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64)) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (+ 1 (* -1 (* y (- 1 x)))) (taylor 0 y) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 (-.f64 x #s(literal 1 binary64)) y)) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 (-.f64 x #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* y (- 1 x)))) (taylor 0 y) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 (-.f64 x #s(literal 1 binary64)) y)) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 (-.f64 x #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- 1 x))) (taylor inf y) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 (-.f64 x #s(literal 1 binary64)) y)) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 (-.f64 x #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 (- 1 x)) (/ 1 y))) (taylor inf y) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 (-.f64 x #s(literal 1 binary64)) y)) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 (-.f64 x #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 (- 1 x)) (/ 1 y))) (taylor inf y) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 (-.f64 x #s(literal 1 binary64)) y)) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 (-.f64 x #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 (- 1 x)) (/ 1 y))) (taylor inf y) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 (-.f64 x #s(literal 1 binary64)) y)) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 (-.f64 x #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- 1 x))) (taylor -inf y) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 (-.f64 x #s(literal 1 binary64)) y)) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 (-.f64 x #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- 1 (+ x (/ 1 y))))) (taylor -inf y) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 (-.f64 x #s(literal 1 binary64)) y)) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 (-.f64 x #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- 1 (+ x (/ 1 y))))) (taylor -inf y) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 (-.f64 x #s(literal 1 binary64)) y)) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 (-.f64 x #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- 1 (+ x (/ 1 y))))) (taylor -inf y) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 (-.f64 x #s(literal 1 binary64)) y)) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 (-.f64 x #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 x) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 y) (* x y)) (taylor 0 x) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 y) (* x y)) (taylor 0 x) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 y) (* x y)) (taylor 0 x) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (* -1 (/ y x)))) (taylor inf x) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (* -1 (/ y x)))) (taylor inf x) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (* -1 (/ y x)))) (taylor inf x) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (/ y x)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (/ y x)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (/ y x)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- x 1)) (taylor 0 y) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- x 1)) (taylor 0 y) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- x 1)) (taylor 0 y) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- x 1)) (taylor 0 y) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- x 1)) (taylor inf y) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- x 1)) (taylor inf y) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- x 1)) (taylor inf y) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- x 1)) (taylor inf y) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- x 1)) (taylor -inf y) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- x 1)) (taylor -inf y) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- x 1)) (taylor -inf y) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- x 1)) (taylor -inf y) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- x 1) (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- x 1) (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- x 1) (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (/ 1 x))) (taylor inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (/ 1 x))) (taylor inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (/ 1 x))) (taylor inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
54 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (* x y) |
| 0.0ms | y | @ | 0 | (* (- x 1) y) |
| 0.0ms | y | @ | inf | (* (- x 1) y) |
| 0.0ms | x | @ | -inf | (* (- x 1) y) |
| 0.0ms | y | @ | inf | (+ (* x y) (- 1 y)) |
| 1× | egg-herbie |
| 13 176× | lower-fma.f64 |
| 13 176× | lower-fma.f32 |
| 2 226× | lower-*.f64 |
| 2 226× | lower-*.f32 |
| 1 990× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 73 | 1886 |
| 1 | 225 | 1740 |
| 2 | 543 | 1123 |
| 3 | 1434 | 1123 |
| 4 | 5092 | 1123 |
| 0 | 8123 | 1015 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- 1 y) |
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) |
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) |
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) |
(* x (+ 1 (* -1 (- 1 y)))) |
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) |
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) |
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) |
(* x y) |
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) |
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) |
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) |
1 |
(+ 1 (* -1 (* y (- 1 x)))) |
(+ 1 (* -1 (* y (- 1 x)))) |
(+ 1 (* -1 (* y (- 1 x)))) |
(* -1 (* y (- 1 x))) |
(* y (+ (* -1 (- 1 x)) (/ 1 y))) |
(* y (+ (* -1 (- 1 x)) (/ 1 y))) |
(* y (+ (* -1 (- 1 x)) (/ 1 y))) |
(* -1 (* y (- 1 x))) |
(* -1 (* y (- 1 (+ x (/ 1 y))))) |
(* -1 (* y (- 1 (+ x (/ 1 y))))) |
(* -1 (* y (- 1 (+ x (/ 1 y))))) |
(- 1 y) |
(- (+ 1 (* x y)) y) |
(- (+ 1 (* x y)) y) |
(- (+ 1 (* x y)) y) |
(* x y) |
(* x (- (+ y (/ 1 x)) (/ y x))) |
(* x (- (+ y (/ 1 x)) (/ y x))) |
(* x (- (+ y (/ 1 x)) (/ y x))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (- 1 y) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (- 1 y) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (- 1 y) x))))) |
1 |
(+ 1 (* y (- x 1))) |
(+ 1 (* y (- x 1))) |
(+ 1 (* y (- x 1))) |
(* y (- x 1)) |
(* y (- (+ x (/ 1 y)) 1)) |
(* y (- (+ x (/ 1 y)) 1)) |
(* y (- (+ x (/ 1 y)) 1)) |
(* -1 (* y (+ 1 (* -1 x)))) |
(* -1 (* y (- (+ 1 (* -1 x)) (/ 1 y)))) |
(* -1 (* y (- (+ 1 (* -1 x)) (/ 1 y)))) |
(* -1 (* y (- (+ 1 (* -1 x)) (/ 1 y)))) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* -1 y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(- 1 y) |
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) |
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) |
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) |
(* x (+ 1 (* -1 (- 1 y)))) |
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) |
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) |
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) |
(* x y) |
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) |
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) |
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) |
1 |
(+ 1 (* -1 (* y (- 1 x)))) |
(+ 1 (* -1 (* y (- 1 x)))) |
(+ 1 (* -1 (* y (- 1 x)))) |
(* -1 (* y (- 1 x))) |
(* y (+ (* -1 (- 1 x)) (/ 1 y))) |
(* y (+ (* -1 (- 1 x)) (/ 1 y))) |
(* y (+ (* -1 (- 1 x)) (/ 1 y))) |
(* -1 (* y (- 1 x))) |
(* -1 (* y (- 1 (+ x (/ 1 y))))) |
(* -1 (* y (- 1 (+ x (/ 1 y))))) |
(* -1 (* y (- 1 (+ x (/ 1 y))))) |
(- 1 y) |
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) |
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) |
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) |
(* x (+ 1 (* -1 (- 1 y)))) |
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) |
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) |
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) |
(* x y) |
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) |
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) |
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) |
1 |
(+ 1 (* -1 (* y (- 1 x)))) |
(+ 1 (* -1 (* y (- 1 x)))) |
(+ 1 (* -1 (* y (- 1 x)))) |
(* -1 (* y (- 1 x))) |
(* y (+ (* -1 (- 1 x)) (/ 1 y))) |
(* y (+ (* -1 (- 1 x)) (/ 1 y))) |
(* y (+ (* -1 (- 1 x)) (/ 1 y))) |
(* -1 (* y (- 1 x))) |
(* -1 (* y (- 1 (+ x (/ 1 y))))) |
(* -1 (* y (- 1 (+ x (/ 1 y))))) |
(* -1 (* y (- 1 (+ x (/ 1 y))))) |
(- 1 y) |
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) |
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) |
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) |
(* x (+ 1 (* -1 (- 1 y)))) |
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) |
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) |
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) |
(* x y) |
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) |
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) |
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) |
1 |
(+ 1 (* -1 (* y (- 1 x)))) |
(+ 1 (* -1 (* y (- 1 x)))) |
(+ 1 (* -1 (* y (- 1 x)))) |
(* -1 (* y (- 1 x))) |
(* y (+ (* -1 (- 1 x)) (/ 1 y))) |
(* y (+ (* -1 (- 1 x)) (/ 1 y))) |
(* y (+ (* -1 (- 1 x)) (/ 1 y))) |
(* -1 (* y (- 1 x))) |
(* -1 (* y (- 1 (+ x (/ 1 y))))) |
(* -1 (* y (- 1 (+ x (/ 1 y))))) |
(* -1 (* y (- 1 (+ x (/ 1 y))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(- 1 y) |
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) |
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) |
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) |
(* x (+ 1 (* -1 (- 1 y)))) |
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) |
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) |
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) |
(* x y) |
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) |
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) |
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) |
1 |
(+ 1 (* -1 (* y (- 1 x)))) |
(+ 1 (* -1 (* y (- 1 x)))) |
(+ 1 (* -1 (* y (- 1 x)))) |
(* -1 (* y (- 1 x))) |
(* y (+ (* -1 (- 1 x)) (/ 1 y))) |
(* y (+ (* -1 (- 1 x)) (/ 1 y))) |
(* y (+ (* -1 (- 1 x)) (/ 1 y))) |
(* -1 (* y (- 1 x))) |
(* -1 (* y (- 1 (+ x (/ 1 y))))) |
(* -1 (* y (- 1 (+ x (/ 1 y))))) |
(* -1 (* y (- 1 (+ x (/ 1 y))))) |
(* -1 y) |
(+ (* -1 y) (* x y)) |
(+ (* -1 y) (* x y)) |
(+ (* -1 y) (* x y)) |
(* x y) |
(* x (+ y (* -1 (/ y x)))) |
(* x (+ y (* -1 (/ y x)))) |
(* x (+ y (* -1 (/ y x)))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (/ y x)))) |
(* -1 (* x (+ (* -1 y) (/ y x)))) |
(* -1 (* x (+ (* -1 y) (/ y x)))) |
(* y (- x 1)) |
(* y (- x 1)) |
(* y (- x 1)) |
(* y (- x 1)) |
(* y (- x 1)) |
(* y (- x 1)) |
(* y (- x 1)) |
(* y (- x 1)) |
(* y (- x 1)) |
(* y (- x 1)) |
(* y (- x 1)) |
(* y (- x 1)) |
-1 |
(- x 1) |
(- x 1) |
(- x 1) |
x |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
| Outputs |
|---|
(- 1 y) |
(-.f64 #s(literal 1 binary64) y) |
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* x (+ 1 (* -1 (- 1 y)))) |
(*.f64 x y) |
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* x y) |
(*.f64 x y) |
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* y (- 1 x)))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(+ 1 (* -1 (* y (- 1 x)))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(+ 1 (* -1 (* y (- 1 x)))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* -1 (* y (- 1 x))) |
(-.f64 (*.f64 x y) y) |
(* y (+ (* -1 (- 1 x)) (/ 1 y))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* y (+ (* -1 (- 1 x)) (/ 1 y))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* y (+ (* -1 (- 1 x)) (/ 1 y))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* -1 (* y (- 1 x))) |
(-.f64 (*.f64 x y) y) |
(* -1 (* y (- 1 (+ x (/ 1 y))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* -1 (* y (- 1 (+ x (/ 1 y))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* -1 (* y (- 1 (+ x (/ 1 y))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(- 1 y) |
(-.f64 #s(literal 1 binary64) y) |
(- (+ 1 (* x y)) y) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(- (+ 1 (* x y)) y) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(- (+ 1 (* x y)) y) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* x y) |
(*.f64 x y) |
(* x (- (+ y (/ 1 x)) (/ y x))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* x (- (+ y (/ 1 x)) (/ y x))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* x (- (+ y (/ 1 x)) (/ y x))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* x y) |
(*.f64 x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (- 1 y) x))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (- 1 y) x))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (- 1 y) x))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* y (- x 1))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(+ 1 (* y (- x 1))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(+ 1 (* y (- x 1))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* y (- x 1)) |
(-.f64 (*.f64 x y) y) |
(* y (- (+ x (/ 1 y)) 1)) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* y (- (+ x (/ 1 y)) 1)) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* y (- (+ x (/ 1 y)) 1)) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* -1 (* y (+ 1 (* -1 x)))) |
(-.f64 (*.f64 x y) y) |
(* -1 (* y (- (+ 1 (* -1 x)) (/ 1 y)))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* -1 (* y (- (+ 1 (* -1 x)) (/ 1 y)))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* -1 (* y (- (+ 1 (* -1 x)) (/ 1 y)))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
(- 1 y) |
(-.f64 #s(literal 1 binary64) y) |
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* x (+ 1 (* -1 (- 1 y)))) |
(*.f64 x y) |
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* x y) |
(*.f64 x y) |
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* y (- 1 x)))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(+ 1 (* -1 (* y (- 1 x)))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(+ 1 (* -1 (* y (- 1 x)))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* -1 (* y (- 1 x))) |
(-.f64 (*.f64 x y) y) |
(* y (+ (* -1 (- 1 x)) (/ 1 y))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* y (+ (* -1 (- 1 x)) (/ 1 y))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* y (+ (* -1 (- 1 x)) (/ 1 y))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* -1 (* y (- 1 x))) |
(-.f64 (*.f64 x y) y) |
(* -1 (* y (- 1 (+ x (/ 1 y))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* -1 (* y (- 1 (+ x (/ 1 y))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* -1 (* y (- 1 (+ x (/ 1 y))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(- 1 y) |
(-.f64 #s(literal 1 binary64) y) |
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* x (+ 1 (* -1 (- 1 y)))) |
(*.f64 x y) |
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* x y) |
(*.f64 x y) |
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* y (- 1 x)))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(+ 1 (* -1 (* y (- 1 x)))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(+ 1 (* -1 (* y (- 1 x)))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* -1 (* y (- 1 x))) |
(-.f64 (*.f64 x y) y) |
(* y (+ (* -1 (- 1 x)) (/ 1 y))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* y (+ (* -1 (- 1 x)) (/ 1 y))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* y (+ (* -1 (- 1 x)) (/ 1 y))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* -1 (* y (- 1 x))) |
(-.f64 (*.f64 x y) y) |
(* -1 (* y (- 1 (+ x (/ 1 y))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* -1 (* y (- 1 (+ x (/ 1 y))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* -1 (* y (- 1 (+ x (/ 1 y))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(- 1 y) |
(-.f64 #s(literal 1 binary64) y) |
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* x (+ 1 (* -1 (- 1 y)))) |
(*.f64 x y) |
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* x y) |
(*.f64 x y) |
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* y (- 1 x)))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(+ 1 (* -1 (* y (- 1 x)))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(+ 1 (* -1 (* y (- 1 x)))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* -1 (* y (- 1 x))) |
(-.f64 (*.f64 x y) y) |
(* y (+ (* -1 (- 1 x)) (/ 1 y))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* y (+ (* -1 (- 1 x)) (/ 1 y))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* y (+ (* -1 (- 1 x)) (/ 1 y))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* -1 (* y (- 1 x))) |
(-.f64 (*.f64 x y) y) |
(* -1 (* y (- 1 (+ x (/ 1 y))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* -1 (* y (- 1 (+ x (/ 1 y))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* -1 (* y (- 1 (+ x (/ 1 y))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(- 1 y) |
(-.f64 #s(literal 1 binary64) y) |
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* x (+ 1 (* -1 (- 1 y)))) |
(*.f64 x y) |
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* x y) |
(*.f64 x y) |
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* y (- 1 x)))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(+ 1 (* -1 (* y (- 1 x)))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(+ 1 (* -1 (* y (- 1 x)))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* -1 (* y (- 1 x))) |
(-.f64 (*.f64 x y) y) |
(* y (+ (* -1 (- 1 x)) (/ 1 y))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* y (+ (* -1 (- 1 x)) (/ 1 y))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* y (+ (* -1 (- 1 x)) (/ 1 y))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* -1 (* y (- 1 x))) |
(-.f64 (*.f64 x y) y) |
(* -1 (* y (- 1 (+ x (/ 1 y))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* -1 (* y (- 1 (+ x (/ 1 y))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* -1 (* y (- 1 (+ x (/ 1 y))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* -1 y) |
(neg.f64 y) |
(+ (* -1 y) (* x y)) |
(-.f64 (*.f64 x y) y) |
(+ (* -1 y) (* x y)) |
(-.f64 (*.f64 x y) y) |
(+ (* -1 y) (* x y)) |
(-.f64 (*.f64 x y) y) |
(* x y) |
(*.f64 x y) |
(* x (+ y (* -1 (/ y x)))) |
(-.f64 (*.f64 x y) y) |
(* x (+ y (* -1 (/ y x)))) |
(-.f64 (*.f64 x y) y) |
(* x (+ y (* -1 (/ y x)))) |
(-.f64 (*.f64 x y) y) |
(* x y) |
(*.f64 x y) |
(* -1 (* x (+ (* -1 y) (/ y x)))) |
(-.f64 (*.f64 x y) y) |
(* -1 (* x (+ (* -1 y) (/ y x)))) |
(-.f64 (*.f64 x y) y) |
(* -1 (* x (+ (* -1 y) (/ y x)))) |
(-.f64 (*.f64 x y) y) |
(* y (- x 1)) |
(-.f64 (*.f64 x y) y) |
(* y (- x 1)) |
(-.f64 (*.f64 x y) y) |
(* y (- x 1)) |
(-.f64 (*.f64 x y) y) |
(* y (- x 1)) |
(-.f64 (*.f64 x y) y) |
(* y (- x 1)) |
(-.f64 (*.f64 x y) y) |
(* y (- x 1)) |
(-.f64 (*.f64 x y) y) |
(* y (- x 1)) |
(-.f64 (*.f64 x y) y) |
(* y (- x 1)) |
(-.f64 (*.f64 x y) y) |
(* y (- x 1)) |
(-.f64 (*.f64 x y) y) |
(* y (- x 1)) |
(-.f64 (*.f64 x y) y) |
(* y (- x 1)) |
(-.f64 (*.f64 x y) y) |
(* y (- x 1)) |
(-.f64 (*.f64 x y) y) |
-1 |
#s(literal -1 binary64) |
(- x 1) |
(-.f64 x #s(literal 1 binary64)) |
(- x 1) |
(-.f64 x #s(literal 1 binary64)) |
(- x 1) |
(-.f64 x #s(literal 1 binary64)) |
x |
(* x (- 1 (/ 1 x))) |
(-.f64 x #s(literal 1 binary64)) |
(* x (- 1 (/ 1 x))) |
(-.f64 x #s(literal 1 binary64)) |
(* x (- 1 (/ 1 x))) |
(-.f64 x #s(literal 1 binary64)) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(-.f64 x #s(literal 1 binary64)) |
(* -1 (* x (- (/ 1 x) 1))) |
(-.f64 x #s(literal 1 binary64)) |
(* -1 (* x (- (/ 1 x) 1))) |
(-.f64 x #s(literal 1 binary64)) |
| 8 474× | lower-fma.f32 |
| 8 472× | lower-fma.f64 |
| 5 022× | lower-*.f32 |
| 5 018× | lower-*.f64 |
| 4 056× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 88 |
| 0 | 22 | 88 |
| 1 | 91 | 88 |
| 2 | 751 | 88 |
| 0 | 8574 | 83 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y (-.f64 #s(literal 1 binary64) y))) |
(fma.f64 x y (-.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) y) |
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64)) |
#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y)) |
#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 x y)) |
(*.f64 x y) |
#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 (-.f64 x #s(literal 1 binary64)) y)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) y) |
(-.f64 x #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (*.f64 (fma.f64 y x (+.f64 y #s(literal 1 binary64))) (fma.f64 y x (-.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) (fma.f64 y x (+.f64 y #s(literal 1 binary64))))) |
(*.f64 (*.f64 (fma.f64 y x (-.f64 #s(literal 1 binary64) y)) (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y x))) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y x)))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) (fma.f64 y x #s(literal 1 binary64))) (fma.f64 y x #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 y) y) y)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (fma.f64 y x #s(literal 1 binary64)) (*.f64 y (+.f64 y (fma.f64 y x #s(literal 1 binary64))))))) |
(*.f64 (*.f64 (fma.f64 y x (-.f64 #s(literal 1 binary64) y)) (fma.f64 (neg.f64 x) y (-.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y (-.f64 #s(literal 1 binary64) y)))) |
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(/.f64 (-.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 x x) y) y)) (-.f64 (neg.f64 y) (*.f64 y x))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x x) y) (*.f64 (*.f64 y y) x) (*.f64 (*.f64 (neg.f64 y) y) y)) (fma.f64 (*.f64 (*.f64 x x) y) y (-.f64 (*.f64 y y) (*.f64 (*.f64 (neg.f64 x) y) y)))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 y) y) y (*.f64 (*.f64 (*.f64 x x) y) (*.f64 (*.f64 y y) x))) (fma.f64 y y (-.f64 (*.f64 (*.f64 (*.f64 x x) y) y) (*.f64 (*.f64 (neg.f64 x) y) y)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y)) (+.f64 (neg.f64 x) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x x) x #s(literal -1 binary64)) y)) (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 y (fma.f64 x x #s(literal -1 binary64)))) (+.f64 (neg.f64 x) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 y (fma.f64 (*.f64 x x) x #s(literal -1 binary64)))) (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y) (-.f64 x #s(literal -1 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) x #s(literal -1 binary64)) y) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) |
(/.f64 (*.f64 y (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) |
(/.f64 (*.f64 y (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) |
(/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) x #s(literal -1 binary64)) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 y (fma.f64 x x #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (*.f64 y (fma.f64 (*.f64 x x) x #s(literal -1 binary64))))) |
(fma.f64 #s(literal -1 binary64) y (*.f64 y x)) |
(fma.f64 (neg.f64 y) #s(literal 1 binary64) (*.f64 y x)) |
(fma.f64 (*.f64 y x) #s(literal 1 binary64) (neg.f64 y)) |
(fma.f64 y #s(literal -1 binary64) (*.f64 y x)) |
(fma.f64 y x (neg.f64 y)) |
(fma.f64 #s(literal 1 binary64) (neg.f64 y) (*.f64 y x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 y x) (neg.f64 y)) |
(fma.f64 x y (neg.f64 y)) |
(-.f64 (fma.f64 y x #s(literal 0 binary64)) y) |
(-.f64 #s(literal 0 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (*.f64 y x) y) |
(+.f64 (neg.f64 y) (*.f64 y x)) |
(+.f64 (*.f64 y x) (neg.f64 y)) |
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) (/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 x) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (neg.f64 x) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))) |
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) |
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) |
(*.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))) |
(*.f64 (fma.f64 (*.f64 x x) x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) |
(*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) (fma.f64 x x #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) (fma.f64 (*.f64 x x) (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) x #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) x) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 x x) x) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 x x) x) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 x x) (-.f64 x #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))) (+.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) x) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 x x) x) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 x x) x) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 x x) (-.f64 x #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))))) |
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 (neg.f64 x) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (neg.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (*.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 x (fma.f64 x x x)) (-.f64 x #s(literal -1 binary64))) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal -1 binary64))) |
(/.f64 (fma.f64 (neg.f64 x) (*.f64 x x) #s(literal 1 binary64)) (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) |
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (neg.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)))) |
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (neg.f64 (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (neg.f64 x) #s(literal -1 binary64))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (*.f64 x x) x #s(literal -1 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) |
(neg.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (neg.f64 x) #s(literal -1 binary64)))) |
(neg.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal -1 binary64)) (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))) |
(neg.f64 (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 x #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))) |
(fma.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))) |
(fma.f64 #s(literal 1 binary64) x #s(literal -1 binary64)) |
(fma.f64 x #s(literal 1 binary64) #s(literal -1 binary64)) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) x) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)) |
(-.f64 x #s(literal 1 binary64)) |
(+.f64 (neg.f64 (neg.f64 x)) #s(literal -1 binary64)) |
(+.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))) |
(+.f64 (/.f64 (*.f64 (*.f64 x x) x) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))) |
(+.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 x))) |
(+.f64 #s(literal -1 binary64) x) |
(+.f64 x #s(literal -1 binary64)) |
Compiled 8 360 to 760 computations (90.9% saved)
6 alts after pruning (3 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 559 | 3 | 562 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 561 | 6 | 567 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 67.0% | #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) |
| ▶ | 74.0% | #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64)))) |
| ✓ | 58.8% | #s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y)) |
| ✓ | 41.1% | #s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 x y)) |
| ▶ | 27.8% | #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) (neg.f64 y))) |
| ✓ | 33.7% | #s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64)) |
Compiled 38 to 21 computations (44.7% saved)
| 1× | egg-herbie |
Found 9 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (fma.f64 y x (neg.f64 y)) | |
| cost-diff | 0 | #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) | |
| cost-diff | 0 | #s(approx (- 1 y) #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | #s(approx (- 1 y) (neg.f64 y)) | |
| cost-diff | 0 | #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) (neg.f64 y))) |
| 30 360× | lower-fma.f32 |
| 30 356× | lower-fma.f64 |
| 3 392× | lower-*.f64 |
| 3 392× | lower-*.f32 |
| 2 668× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 83 |
| 0 | 20 | 83 |
| 1 | 35 | 83 |
| 2 | 62 | 83 |
| 3 | 150 | 83 |
| 4 | 421 | 77 |
| 5 | 1272 | 77 |
| 6 | 3267 | 77 |
| 7 | 4953 | 77 |
| 8 | 5688 | 77 |
| 9 | 5980 | 77 |
| 10 | 6219 | 77 |
| 11 | 6322 | 77 |
| 12 | 6456 | 77 |
| 13 | 6914 | 77 |
| 14 | 7143 | 77 |
| 15 | 7279 | 77 |
| 16 | 7488 | 77 |
| 17 | 7535 | 77 |
| 18 | 7549 | 77 |
| 0 | 8051 | 74 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) (neg.f64 y))) |
#s(approx (- 1 y) (neg.f64 y)) |
(neg.f64 y) |
y |
#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64)))) |
(fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64))) |
x |
y |
#s(approx (- 1 y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) |
(fma.f64 y x (neg.f64 y)) |
y |
x |
(neg.f64 y) |
| Outputs |
|---|
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) (neg.f64 y))) |
#s(approx (- 1 y) (neg.f64 y)) |
(neg.f64 y) |
y |
#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64)))) |
#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x #s(approx (- 1 y) #s(literal 1 binary64)))) |
(fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64))) |
(fma.f64 y x #s(approx (- 1 y) #s(literal 1 binary64))) |
x |
y |
#s(approx (- 1 y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) |
(fma.f64 y x (neg.f64 y)) |
y |
x |
(neg.f64 y) |
Found 9 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (fma.f64 y x (neg.f64 y)) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 21.099877141769515 | #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) | |
| accuracy | 0 | (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64))) | |
| accuracy | 0 | #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64)))) | |
| accuracy | 32.39583397989494 | #s(approx (- 1 y) #s(literal 1 binary64)) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 26.3501364620464 | #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) (neg.f64 y))) | |
| accuracy | 30.31509813368503 | #s(approx (- 1 y) (neg.f64 y)) |
| 26.0ms | 189× | 0 | valid |
| 11.0ms | 67× | 1 | valid |
Compiled 58 to 14 computations (75.9% saved)
ival-sub: 14.0ms (51.7% of total)ival-mult: 6.0ms (22.2% of total)ival-add: 4.0ms (14.8% of total)adjust: 2.0ms (7.4% of total)ival-neg: 1.0ms (3.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) (neg.f64 y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ()) |
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ()) |
#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64)))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64))) (patch (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 y) #s(literal 1 binary64)) (patch #s(approx (- 1 y) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) #<representation binary64>) () ()) |
#s(alt (fma.f64 y x (neg.f64 y)) (patch (fma.f64 y x (neg.f64 y)) #<representation binary64>) () ()) |
| Outputs |
|---|
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#s(alt (* x y) (taylor -inf x) (#s(alt (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64))) (patch (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (- 1 y) x))))) (taylor -inf x) (#s(alt (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64))) (patch (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (- 1 y) x))))) (taylor -inf x) (#s(alt (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64))) (patch (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (- 1 y) x))))) (taylor -inf x) (#s(alt (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64))) (patch (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64))) (patch (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* y (- x 1))) (taylor 0 y) (#s(alt (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64))) (patch (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* y (- x 1))) (taylor 0 y) (#s(alt (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64))) (patch (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* y (- x 1))) (taylor 0 y) (#s(alt (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64))) (patch (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- x 1)) (taylor inf y) (#s(alt (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64))) (patch (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ x (/ 1 y)) 1)) (taylor inf y) (#s(alt (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64))) (patch (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ x (/ 1 y)) 1)) (taylor inf y) (#s(alt (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64))) (patch (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ x (/ 1 y)) 1)) (taylor inf y) (#s(alt (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64))) (patch (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ 1 (* -1 x)))) (taylor -inf y) (#s(alt (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64))) (patch (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (+ 1 (* -1 x)) (/ 1 y)))) (taylor -inf y) (#s(alt (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64))) (patch (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (+ 1 (* -1 x)) (/ 1 y)))) (taylor -inf y) (#s(alt (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64))) (patch (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (+ 1 (* -1 x)) (/ 1 y)))) (taylor -inf y) (#s(alt (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64))) (patch (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (- 1 y) #s(literal 1 binary64)) (patch #s(approx (- 1 y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- 1 y) #s(literal 1 binary64)) (patch #s(approx (- 1 y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- 1 y) #s(literal 1 binary64)) (patch #s(approx (- 1 y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- 1 y) #s(literal 1 binary64)) (patch #s(approx (- 1 y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor inf y) (#s(alt #s(approx (- 1 y) #s(literal 1 binary64)) (patch #s(approx (- 1 y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt #s(approx (- 1 y) #s(literal 1 binary64)) (patch #s(approx (- 1 y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt #s(approx (- 1 y) #s(literal 1 binary64)) (patch #s(approx (- 1 y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt #s(approx (- 1 y) #s(literal 1 binary64)) (patch #s(approx (- 1 y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor -inf y) (#s(alt #s(approx (- 1 y) #s(literal 1 binary64)) (patch #s(approx (- 1 y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- 1 (/ 1 y)))) (taylor -inf y) (#s(alt #s(approx (- 1 y) #s(literal 1 binary64)) (patch #s(approx (- 1 y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- 1 (/ 1 y)))) (taylor -inf y) (#s(alt #s(approx (- 1 y) #s(literal 1 binary64)) (patch #s(approx (- 1 y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- 1 (/ 1 y)))) (taylor -inf y) (#s(alt #s(approx (- 1 y) #s(literal 1 binary64)) (patch #s(approx (- 1 y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- 1 y) (taylor 0 x) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) (taylor 0 x) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) (taylor 0 x) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) (taylor 0 x) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 (- 1 y)))) (taylor inf x) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) (taylor inf x) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) (taylor inf x) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) (taylor inf x) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) (taylor -inf x) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) (taylor -inf x) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) (taylor -inf x) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* y (- 1 x)))) (taylor 0 y) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* y (- 1 x)))) (taylor 0 y) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* y (- 1 x)))) (taylor 0 y) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- 1 x))) (taylor inf y) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 (- 1 x)) (/ 1 y))) (taylor inf y) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 (- 1 x)) (/ 1 y))) (taylor inf y) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 (- 1 x)) (/ 1 y))) (taylor inf y) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- 1 x))) (taylor -inf y) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- 1 (+ x (/ 1 y))))) (taylor -inf y) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- 1 (+ x (/ 1 y))))) (taylor -inf y) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- 1 (+ x (/ 1 y))))) (taylor -inf y) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- x 1)) (taylor 0 y) (#s(alt (fma.f64 y x (neg.f64 y)) (patch (fma.f64 y x (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- x 1)) (taylor 0 y) (#s(alt (fma.f64 y x (neg.f64 y)) (patch (fma.f64 y x (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- x 1)) (taylor 0 y) (#s(alt (fma.f64 y x (neg.f64 y)) (patch (fma.f64 y x (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- x 1)) (taylor 0 y) (#s(alt (fma.f64 y x (neg.f64 y)) (patch (fma.f64 y x (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- x 1)) (taylor inf y) (#s(alt (fma.f64 y x (neg.f64 y)) (patch (fma.f64 y x (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- x 1)) (taylor inf y) (#s(alt (fma.f64 y x (neg.f64 y)) (patch (fma.f64 y x (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- x 1)) (taylor inf y) (#s(alt (fma.f64 y x (neg.f64 y)) (patch (fma.f64 y x (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- x 1)) (taylor inf y) (#s(alt (fma.f64 y x (neg.f64 y)) (patch (fma.f64 y x (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ 1 (* -1 x)))) (taylor -inf y) (#s(alt (fma.f64 y x (neg.f64 y)) (patch (fma.f64 y x (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ 1 (* -1 x)))) (taylor -inf y) (#s(alt (fma.f64 y x (neg.f64 y)) (patch (fma.f64 y x (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ 1 (* -1 x)))) (taylor -inf y) (#s(alt (fma.f64 y x (neg.f64 y)) (patch (fma.f64 y x (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ 1 (* -1 x)))) (taylor -inf y) (#s(alt (fma.f64 y x (neg.f64 y)) (patch (fma.f64 y x (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 x) (#s(alt (fma.f64 y x (neg.f64 y)) (patch (fma.f64 y x (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (- (* x y) y) (taylor 0 x) (#s(alt (fma.f64 y x (neg.f64 y)) (patch (fma.f64 y x (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (- (* x y) y) (taylor 0 x) (#s(alt (fma.f64 y x (neg.f64 y)) (patch (fma.f64 y x (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (- (* x y) y) (taylor 0 x) (#s(alt (fma.f64 y x (neg.f64 y)) (patch (fma.f64 y x (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (fma.f64 y x (neg.f64 y)) (patch (fma.f64 y x (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (* -1 (/ y x)))) (taylor inf x) (#s(alt (fma.f64 y x (neg.f64 y)) (patch (fma.f64 y x (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (* -1 (/ y x)))) (taylor inf x) (#s(alt (fma.f64 y x (neg.f64 y)) (patch (fma.f64 y x (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (* -1 (/ y x)))) (taylor inf x) (#s(alt (fma.f64 y x (neg.f64 y)) (patch (fma.f64 y x (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (fma.f64 y x (neg.f64 y)) (patch (fma.f64 y x (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (/ y x)))) (taylor -inf x) (#s(alt (fma.f64 y x (neg.f64 y)) (patch (fma.f64 y x (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (/ y x)))) (taylor -inf x) (#s(alt (fma.f64 y x (neg.f64 y)) (patch (fma.f64 y x (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (/ y x)))) (taylor -inf x) (#s(alt (fma.f64 y x (neg.f64 y)) (patch (fma.f64 y x (neg.f64 y)) #<representation binary64>) () ())) ()) |
39 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | inf | (neg y) |
| 0.0ms | y | @ | inf | (+ (* y x) (neg y)) |
| 0.0ms | x | @ | -inf | (+ (* y x) (neg y)) |
| 0.0ms | x | @ | inf | (+ (* y x) (neg y)) |
| 0.0ms | x | @ | 0 | (+ (* y x) (neg y)) |
| 1× | egg-herbie |
| 11 530× | lower-fma.f64 |
| 11 530× | lower-fma.f32 |
| 2 248× | lower--.f64 |
| 2 248× | lower--.f32 |
| 1 928× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 1224 |
| 1 | 210 | 1142 |
| 2 | 502 | 785 |
| 3 | 1393 | 785 |
| 4 | 5209 | 785 |
| 5 | 7359 | 785 |
| 0 | 8196 | 713 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- 1 y) |
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) |
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) |
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) |
(* x (+ 1 (* -1 (- 1 y)))) |
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) |
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) |
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) |
(* x y) |
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) |
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) |
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) |
1 |
(+ 1 (* -1 (* y (- 1 x)))) |
(+ 1 (* -1 (* y (- 1 x)))) |
(+ 1 (* -1 (* y (- 1 x)))) |
(* -1 (* y (- 1 x))) |
(* y (+ (* -1 (- 1 x)) (/ 1 y))) |
(* y (+ (* -1 (- 1 x)) (/ 1 y))) |
(* y (+ (* -1 (- 1 x)) (/ 1 y))) |
(* -1 (* y (- 1 x))) |
(* -1 (* y (- 1 (+ x (/ 1 y))))) |
(* -1 (* y (- 1 (+ x (/ 1 y))))) |
(* -1 (* y (- 1 (+ x (/ 1 y))))) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* -1 y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(- 1 y) |
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) |
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) |
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) |
(* x (+ 1 (* -1 (- 1 y)))) |
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) |
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) |
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) |
(* x y) |
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) |
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) |
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) |
1 |
(+ 1 (* -1 (* y (- 1 x)))) |
(+ 1 (* -1 (* y (- 1 x)))) |
(+ 1 (* -1 (* y (- 1 x)))) |
(* -1 (* y (- 1 x))) |
(* y (+ (* -1 (- 1 x)) (/ 1 y))) |
(* y (+ (* -1 (- 1 x)) (/ 1 y))) |
(* y (+ (* -1 (- 1 x)) (/ 1 y))) |
(* -1 (* y (- 1 x))) |
(* -1 (* y (- 1 (+ x (/ 1 y))))) |
(* -1 (* y (- 1 (+ x (/ 1 y))))) |
(* -1 (* y (- 1 (+ x (/ 1 y))))) |
(- 1 y) |
(- (+ 1 (* x y)) y) |
(- (+ 1 (* x y)) y) |
(- (+ 1 (* x y)) y) |
(* x y) |
(* x (- (+ y (/ 1 x)) (/ y x))) |
(* x (- (+ y (/ 1 x)) (/ y x))) |
(* x (- (+ y (/ 1 x)) (/ y x))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (- 1 y) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (- 1 y) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (- 1 y) x))))) |
1 |
(+ 1 (* y (- x 1))) |
(+ 1 (* y (- x 1))) |
(+ 1 (* y (- x 1))) |
(* y (- x 1)) |
(* y (- (+ x (/ 1 y)) 1)) |
(* y (- (+ x (/ 1 y)) 1)) |
(* y (- (+ x (/ 1 y)) 1)) |
(* -1 (* y (+ 1 (* -1 x)))) |
(* -1 (* y (- (+ 1 (* -1 x)) (/ 1 y)))) |
(* -1 (* y (- (+ 1 (* -1 x)) (/ 1 y)))) |
(* -1 (* y (- (+ 1 (* -1 x)) (/ 1 y)))) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* -1 y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(- 1 y) |
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) |
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) |
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) |
(* x (+ 1 (* -1 (- 1 y)))) |
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) |
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) |
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) |
(* x y) |
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) |
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) |
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) |
1 |
(+ 1 (* -1 (* y (- 1 x)))) |
(+ 1 (* -1 (* y (- 1 x)))) |
(+ 1 (* -1 (* y (- 1 x)))) |
(* -1 (* y (- 1 x))) |
(* y (+ (* -1 (- 1 x)) (/ 1 y))) |
(* y (+ (* -1 (- 1 x)) (/ 1 y))) |
(* y (+ (* -1 (- 1 x)) (/ 1 y))) |
(* -1 (* y (- 1 x))) |
(* -1 (* y (- 1 (+ x (/ 1 y))))) |
(* -1 (* y (- 1 (+ x (/ 1 y))))) |
(* -1 (* y (- 1 (+ x (/ 1 y))))) |
(* y (- x 1)) |
(* y (- x 1)) |
(* y (- x 1)) |
(* y (- x 1)) |
(* y (- x 1)) |
(* y (- x 1)) |
(* y (- x 1)) |
(* y (- x 1)) |
(* -1 (* y (+ 1 (* -1 x)))) |
(* -1 (* y (+ 1 (* -1 x)))) |
(* -1 (* y (+ 1 (* -1 x)))) |
(* -1 (* y (+ 1 (* -1 x)))) |
(* -1 y) |
(- (* x y) y) |
(- (* x y) y) |
(- (* x y) y) |
(* x y) |
(* x (+ y (* -1 (/ y x)))) |
(* x (+ y (* -1 (/ y x)))) |
(* x (+ y (* -1 (/ y x)))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (/ y x)))) |
(* -1 (* x (+ (* -1 y) (/ y x)))) |
(* -1 (* x (+ (* -1 y) (/ y x)))) |
| Outputs |
|---|
(- 1 y) |
(-.f64 #s(literal 1 binary64) y) |
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* x (+ 1 (* -1 (- 1 y)))) |
(*.f64 x y) |
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* x y) |
(*.f64 x y) |
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* y (- 1 x)))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(+ 1 (* -1 (* y (- 1 x)))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(+ 1 (* -1 (* y (- 1 x)))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* -1 (* y (- 1 x))) |
(-.f64 (*.f64 x y) y) |
(* y (+ (* -1 (- 1 x)) (/ 1 y))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* y (+ (* -1 (- 1 x)) (/ 1 y))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* y (+ (* -1 (- 1 x)) (/ 1 y))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* -1 (* y (- 1 x))) |
(-.f64 (*.f64 x y) y) |
(* -1 (* y (- 1 (+ x (/ 1 y))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* -1 (* y (- 1 (+ x (/ 1 y))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* -1 (* y (- 1 (+ x (/ 1 y))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(- 1 y) |
(-.f64 #s(literal 1 binary64) y) |
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* x (+ 1 (* -1 (- 1 y)))) |
(*.f64 x y) |
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* x y) |
(*.f64 x y) |
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* y (- 1 x)))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(+ 1 (* -1 (* y (- 1 x)))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(+ 1 (* -1 (* y (- 1 x)))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* -1 (* y (- 1 x))) |
(-.f64 (*.f64 x y) y) |
(* y (+ (* -1 (- 1 x)) (/ 1 y))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* y (+ (* -1 (- 1 x)) (/ 1 y))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* y (+ (* -1 (- 1 x)) (/ 1 y))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* -1 (* y (- 1 x))) |
(-.f64 (*.f64 x y) y) |
(* -1 (* y (- 1 (+ x (/ 1 y))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* -1 (* y (- 1 (+ x (/ 1 y))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* -1 (* y (- 1 (+ x (/ 1 y))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(- 1 y) |
(-.f64 #s(literal 1 binary64) y) |
(- (+ 1 (* x y)) y) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(- (+ 1 (* x y)) y) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(- (+ 1 (* x y)) y) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* x y) |
(*.f64 x y) |
(* x (- (+ y (/ 1 x)) (/ y x))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* x (- (+ y (/ 1 x)) (/ y x))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* x (- (+ y (/ 1 x)) (/ y x))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* x y) |
(*.f64 x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (- 1 y) x))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (- 1 y) x))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (- 1 y) x))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* y (- x 1))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(+ 1 (* y (- x 1))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(+ 1 (* y (- x 1))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* y (- x 1)) |
(-.f64 (*.f64 x y) y) |
(* y (- (+ x (/ 1 y)) 1)) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* y (- (+ x (/ 1 y)) 1)) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* y (- (+ x (/ 1 y)) 1)) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* -1 (* y (+ 1 (* -1 x)))) |
(-.f64 (*.f64 x y) y) |
(* -1 (* y (- (+ 1 (* -1 x)) (/ 1 y)))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* -1 (* y (- (+ 1 (* -1 x)) (/ 1 y)))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* -1 (* y (- (+ 1 (* -1 x)) (/ 1 y)))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
(- 1 y) |
(-.f64 #s(literal 1 binary64) y) |
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* x (+ 1 (* -1 (- 1 y)))) |
(*.f64 x y) |
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* x y) |
(*.f64 x y) |
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* y (- 1 x)))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(+ 1 (* -1 (* y (- 1 x)))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(+ 1 (* -1 (* y (- 1 x)))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* -1 (* y (- 1 x))) |
(-.f64 (*.f64 x y) y) |
(* y (+ (* -1 (- 1 x)) (/ 1 y))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* y (+ (* -1 (- 1 x)) (/ 1 y))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* y (+ (* -1 (- 1 x)) (/ 1 y))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* -1 (* y (- 1 x))) |
(-.f64 (*.f64 x y) y) |
(* -1 (* y (- 1 (+ x (/ 1 y))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* -1 (* y (- 1 (+ x (/ 1 y))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* -1 (* y (- 1 (+ x (/ 1 y))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* y (- x 1)) |
(-.f64 (*.f64 x y) y) |
(* y (- x 1)) |
(-.f64 (*.f64 x y) y) |
(* y (- x 1)) |
(-.f64 (*.f64 x y) y) |
(* y (- x 1)) |
(-.f64 (*.f64 x y) y) |
(* y (- x 1)) |
(-.f64 (*.f64 x y) y) |
(* y (- x 1)) |
(-.f64 (*.f64 x y) y) |
(* y (- x 1)) |
(-.f64 (*.f64 x y) y) |
(* y (- x 1)) |
(-.f64 (*.f64 x y) y) |
(* -1 (* y (+ 1 (* -1 x)))) |
(-.f64 (*.f64 x y) y) |
(* -1 (* y (+ 1 (* -1 x)))) |
(-.f64 (*.f64 x y) y) |
(* -1 (* y (+ 1 (* -1 x)))) |
(-.f64 (*.f64 x y) y) |
(* -1 (* y (+ 1 (* -1 x)))) |
(-.f64 (*.f64 x y) y) |
(* -1 y) |
(neg.f64 y) |
(- (* x y) y) |
(-.f64 (*.f64 x y) y) |
(- (* x y) y) |
(-.f64 (*.f64 x y) y) |
(- (* x y) y) |
(-.f64 (*.f64 x y) y) |
(* x y) |
(*.f64 x y) |
(* x (+ y (* -1 (/ y x)))) |
(-.f64 (*.f64 x y) y) |
(* x (+ y (* -1 (/ y x)))) |
(-.f64 (*.f64 x y) y) |
(* x (+ y (* -1 (/ y x)))) |
(-.f64 (*.f64 x y) y) |
(* x y) |
(*.f64 x y) |
(* -1 (* x (+ (* -1 y) (/ y x)))) |
(-.f64 (*.f64 x y) y) |
(* -1 (* x (+ (* -1 y) (/ y x)))) |
(-.f64 (*.f64 x y) y) |
(* -1 (* x (+ (* -1 y) (/ y x)))) |
(-.f64 (*.f64 x y) y) |
| 8 326× | lower-fma.f32 |
| 8 322× | lower-fma.f64 |
| 4 518× | lower-*.f64 |
| 4 518× | lower-*.f32 |
| 3 308× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 75 |
| 0 | 20 | 75 |
| 1 | 97 | 75 |
| 2 | 737 | 70 |
| 0 | 9134 | 67 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) (neg.f64 y))) |
#s(approx (- 1 y) (neg.f64 y)) |
(neg.f64 y) |
#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64)))) |
(fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64))) |
#s(approx (- 1 y) #s(literal 1 binary64)) |
#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) |
(fma.f64 y x (neg.f64 y)) |
| Outputs |
|---|
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) |
#s(approx (- 1 y) y) |
(*.f64 #s(literal -1 binary64) y) |
(*.f64 (*.f64 (*.f64 y y) y) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 y #s(literal -1 binary64)) |
(*.f64 y #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) y) |
(/.f64 (*.f64 (*.f64 y y) y) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) #s(literal 0 binary64)))) |
(/.f64 (*.f64 (*.f64 y y) y) (*.f64 y y)) |
(/.f64 (*.f64 y y) y) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 (*.f64 y y) y))) |
(neg.f64 y) |
(fma.f64 #s(literal -1 binary64) y #s(literal 0 binary64)) |
(fma.f64 (*.f64 (*.f64 y y) y) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) |
(fma.f64 y #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 y #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) y #s(literal 0 binary64)) |
(-.f64 (/.f64 #s(literal 0 binary64) y) y) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) y) |
(-.f64 #s(literal 0 binary64) y) |
(+.f64 #s(literal 0 binary64) y) |
(+.f64 y #s(literal 0 binary64)) |
y |
#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x #s(approx (- 1 y) #s(literal 1 binary64)))) |
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(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) #s(approx (- 1 y) #s(literal 1 binary64))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) #s(approx (- 1 y) #s(literal 1 binary64)))) (fma.f64 y x #s(approx (- 1 y) #s(literal 1 binary64)))) (*.f64 (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) #s(approx (- 1 y) #s(literal 1 binary64))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) #s(approx (- 1 y) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) #s(approx (- 1 y) #s(literal 1 binary64))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) #s(approx (- 1 y) #s(literal 1 binary64))))))) (neg.f64 (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) #s(approx (- 1 y) #s(literal 1 binary64))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) #s(approx (- 1 y) #s(literal 1 binary64)))))) |
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(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 x x) x #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 y x y))) (*.f64 (fma.f64 (*.f64 y x) (fma.f64 y x y) (*.f64 y y)) (fma.f64 (*.f64 y x) (fma.f64 y x y) (*.f64 y y)))) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 x x) x #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y x) (fma.f64 y x y) (*.f64 y y)))) (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 x x) x #s(literal -1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y)) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y)) (*.f64 (*.f64 y y) y))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y x) (fma.f64 y x y) (*.f64 y y)))) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 x x) x #s(literal -1 binary64)))) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) x) (*.f64 x x))))) |
(/.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 #s(literal -1 binary64) (neg.f64 x))) |
(/.f64 (*.f64 y (neg.f64 (fma.f64 (*.f64 (neg.f64 x) x) x #s(literal 1 binary64)))) (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 y y)) #s(literal 1 binary64)) (fma.f64 y x y)) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 y x) (fma.f64 y x y) (*.f64 y y))) |
(/.f64 (*.f64 (*.f64 (*.f64 y y) y) (-.f64 #s(literal 1 binary64) x)) (*.f64 y y)) |
(/.f64 (*.f64 y (fma.f64 (*.f64 (neg.f64 x) x) x #s(literal 1 binary64))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) |
(/.f64 (*.f64 y (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 y y) y)) (*.f64 y y)) |
(/.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 x) x) x #s(literal 1 binary64)) y) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) y) (-.f64 x #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y y)) y) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (/.f64 y (-.f64 x #s(literal -1 binary64)))) (*.f64 (*.f64 x x) (/.f64 y (-.f64 x #s(literal -1 binary64))))) (*.f64 (/.f64 y (-.f64 x #s(literal -1 binary64))) (/.f64 y (-.f64 x #s(literal -1 binary64))))) (fma.f64 y x y)) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) x) (*.f64 x x))) (fma.f64 (*.f64 y x) (fma.f64 y x y) (*.f64 y y))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) (/.f64 y (-.f64 x #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 y (-.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x x) (/.f64 y (-.f64 x #s(literal -1 binary64)))) (*.f64 (*.f64 x x) (/.f64 y (-.f64 x #s(literal -1 binary64)))) (fma.f64 (/.f64 y (-.f64 x #s(literal -1 binary64))) (/.f64 y (-.f64 x #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 x x) (/.f64 y (-.f64 x #s(literal -1 binary64)))) (/.f64 y (-.f64 x #s(literal -1 binary64))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 y x y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 y y) (*.f64 #s(literal 0 binary64) (fma.f64 y x y))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) y) y) (fma.f64 y x y)) (*.f64 (fma.f64 y x y) (*.f64 y y))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 y y))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 y y)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 y y))) (*.f64 (fma.f64 y x y) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 y y)))) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 x x) x #s(literal -1 binary64)))) (*.f64 (fma.f64 y x y) (*.f64 (fma.f64 (*.f64 y x) (fma.f64 y x y) (*.f64 y y)) (fma.f64 (*.f64 y x) (fma.f64 y x y) (*.f64 y y))))) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 x x) x #s(literal -1 binary64)))) (*.f64 (fma.f64 (*.f64 y x) (fma.f64 y x y) (*.f64 y y)) (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y)) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y)) (*.f64 (*.f64 y y) y))) (*.f64 (fma.f64 (*.f64 y x) (fma.f64 y x y) (*.f64 y y)) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 x x) x #s(literal -1 binary64)))) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) x) (*.f64 x x)))))) |
(/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 y y)) (fma.f64 y x y)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x y)))) |
(/.f64 (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 (*.f64 y x) (fma.f64 y x y) (*.f64 y y))) |
(/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x y)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 y x y))) |
(neg.f64 (fma.f64 y x y)) |
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) y) y) (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 x x) x #s(literal -1 binary64)))) (fma.f64 (*.f64 y x) (fma.f64 y x y) (*.f64 y y)) (/.f64 y (-.f64 x #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) y) y) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 y y))) (fma.f64 y x y) (/.f64 y (-.f64 x #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (*.f64 (*.f64 x x) y) y) (/.f64 y (-.f64 x #s(literal -1 binary64))) (/.f64 y (-.f64 x #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 y y) (-.f64 x #s(literal -1 binary64))) (/.f64 y (-.f64 x #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (*.f64 y x) y) (/.f64 (*.f64 y x) (-.f64 x #s(literal -1 binary64))) (/.f64 y (-.f64 x #s(literal -1 binary64)))) |
(fma.f64 (/.f64 y y) (/.f64 (*.f64 (*.f64 x x) y) (-.f64 x #s(literal -1 binary64))) (/.f64 y (-.f64 x #s(literal -1 binary64)))) |
(fma.f64 (/.f64 x y) (/.f64 (*.f64 (*.f64 y y) x) (-.f64 x #s(literal -1 binary64))) (/.f64 y (-.f64 x #s(literal -1 binary64)))) |
(fma.f64 (*.f64 (*.f64 x x) y) (/.f64 y (fma.f64 y x y)) (/.f64 y (-.f64 x #s(literal -1 binary64)))) |
(fma.f64 (*.f64 (*.f64 y y) x) (/.f64 x (fma.f64 y x y)) (/.f64 y (-.f64 x #s(literal -1 binary64)))) |
(fma.f64 #s(literal -1 binary64) (*.f64 y x) y) |
(fma.f64 #s(literal -1 binary64) y (*.f64 y x)) |
(fma.f64 (neg.f64 x) y y) |
(fma.f64 (*.f64 (*.f64 y y) y) (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 y x)) |
(fma.f64 (*.f64 x x) (/.f64 y (-.f64 x #s(literal -1 binary64))) (/.f64 y (-.f64 x #s(literal -1 binary64)))) |
(fma.f64 (*.f64 y y) (/.f64 (*.f64 x x) (fma.f64 y x y)) (/.f64 y (-.f64 x #s(literal -1 binary64)))) |
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y) (*.f64 y x)) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) y) y) (/.f64 #s(literal -1 binary64) (fma.f64 y x y)) (/.f64 y (-.f64 x #s(literal -1 binary64)))) |
(fma.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x) (fma.f64 y x y)) |
(fma.f64 (*.f64 y x) (/.f64 (*.f64 y x) (fma.f64 y x y)) (/.f64 y (-.f64 x #s(literal -1 binary64)))) |
(fma.f64 (*.f64 y x) (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 y (-.f64 x #s(literal -1 binary64)))) |
(fma.f64 (*.f64 y x) #s(literal -1 binary64) y) |
(fma.f64 (*.f64 y x) #s(literal 1 binary64) y) |
(fma.f64 y (/.f64 (*.f64 (*.f64 x x) y) (fma.f64 y x y)) (/.f64 y (-.f64 x #s(literal -1 binary64)))) |
(fma.f64 y (*.f64 x (/.f64 x (-.f64 x #s(literal -1 binary64)))) (/.f64 y (-.f64 x #s(literal -1 binary64)))) |
(fma.f64 y #s(literal -1 binary64) (*.f64 y x)) |
(fma.f64 y (neg.f64 x) y) |
(fma.f64 y #s(literal 1 binary64) (*.f64 y x)) |
(fma.f64 y x y) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64) (fma.f64 y x y)) |
(fma.f64 #s(literal 1 binary64) (*.f64 y x) y) |
(fma.f64 #s(literal 1 binary64) y (*.f64 y x)) |
(fma.f64 x (/.f64 (*.f64 (*.f64 y y) x) (fma.f64 y x y)) (/.f64 y (-.f64 x #s(literal -1 binary64)))) |
(fma.f64 x y y) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) x) (*.f64 x x)) (fma.f64 (*.f64 y x) (fma.f64 y x y) (*.f64 y y))) (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y x) (fma.f64 y x y) (*.f64 y y)))) |
(-.f64 (/.f64 y (-.f64 x #s(literal -1 binary64))) (*.f64 (*.f64 x x) (/.f64 y (-.f64 x #s(literal -1 binary64))))) |
(-.f64 (*.f64 (*.f64 x x) (/.f64 y (-.f64 x #s(literal -1 binary64)))) (/.f64 y (-.f64 x #s(literal -1 binary64)))) |
(-.f64 #s(literal 0 binary64) (fma.f64 y x y)) |
(-.f64 (*.f64 y x) y) |
(-.f64 y (*.f64 y x)) |
(+.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)) (fma.f64 y x y)) |
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) (fma.f64 y x y)) |
(+.f64 (*.f64 (*.f64 x x) (/.f64 y (-.f64 x #s(literal -1 binary64)))) (/.f64 y (-.f64 x #s(literal -1 binary64)))) |
(+.f64 #s(literal 0 binary64) (fma.f64 y x y)) |
(+.f64 (*.f64 y x) y) |
(+.f64 y (*.f64 y x)) |
Compiled 6 396 to 497 computations (92.2% saved)
7 alts after pruning (1 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 411 | 1 | 412 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 3 | 3 |
| Total | 411 | 7 | 418 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 67.0% | #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) |
| ✓ | 74.0% | #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64)))) |
| ✓ | 58.8% | #s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y)) |
| ✓ | 41.1% | #s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 x y)) |
| ✓ | 27.8% | #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) (neg.f64 y))) |
| ▶ | 2.7% | #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) |
| ✓ | 33.7% | #s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64)) |
Compiled 43 to 23 computations (46.5% saved)
| 1× | egg-herbie |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (- 1 y) y) | |
| cost-diff | 0 | #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) |
| 30 512× | lower-fma.f64 |
| 30 512× | lower-fma.f32 |
| 3 744× | lower-*.f64 |
| 3 744× | lower-*.f32 |
| 2 596× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 21 |
| 0 | 9 | 21 |
| 1 | 17 | 21 |
| 2 | 36 | 21 |
| 3 | 104 | 21 |
| 4 | 358 | 19 |
| 5 | 1298 | 19 |
| 6 | 3174 | 19 |
| 7 | 4845 | 19 |
| 8 | 5562 | 19 |
| 9 | 5820 | 19 |
| 10 | 6016 | 19 |
| 11 | 6108 | 19 |
| 12 | 6266 | 19 |
| 13 | 6645 | 19 |
| 14 | 6858 | 19 |
| 15 | 7010 | 19 |
| 16 | 7086 | 19 |
| 17 | 7129 | 19 |
| 18 | 7261 | 19 |
| 19 | 7767 | 19 |
| 0 | 8223 | 18 |
| 1× | iter limit |
| 1× | node limit |
| 1× | saturated |
| Inputs |
|---|
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) |
#s(approx (- 1 y) y) |
y |
| Outputs |
|---|
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) |
#s(approx (- 1 y) y) |
y |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 26.3501364620464 | #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) | |
| accuracy | 62.64469381103202 | #s(approx (- 1 y) y) |
| 8.0ms | 189× | 0 | valid |
| 6.0ms | 67× | 1 | valid |
Compiled 15 to 9 computations (40% saved)
ival-sub: 3.0ms (36.5% of total)ival-mult: 2.0ms (24.3% of total)adjust: 1.0ms (12.2% of total)ival-add: 1.0ms (12.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 y) y) (patch #s(approx (- 1 y) y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (- 1 y) (taylor 0 x) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) (taylor 0 x) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) (taylor 0 x) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) (taylor 0 x) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 (- 1 y)))) (taylor inf x) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) (taylor inf x) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) (taylor inf x) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) (taylor inf x) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) (taylor -inf x) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) (taylor -inf x) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) (taylor -inf x) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* y (- 1 x)))) (taylor 0 y) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* y (- 1 x)))) (taylor 0 y) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* y (- 1 x)))) (taylor 0 y) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- 1 x))) (taylor inf y) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 (- 1 x)) (/ 1 y))) (taylor inf y) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 (- 1 x)) (/ 1 y))) (taylor inf y) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 (- 1 x)) (/ 1 y))) (taylor inf y) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- 1 x))) (taylor -inf y) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- 1 (+ x (/ 1 y))))) (taylor -inf y) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- 1 (+ x (/ 1 y))))) (taylor -inf y) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- 1 (+ x (/ 1 y))))) (taylor -inf y) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (- 1 y) y) (patch #s(approx (- 1 y) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- 1 y) y) (patch #s(approx (- 1 y) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- 1 y) y) (patch #s(approx (- 1 y) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- 1 y) y) (patch #s(approx (- 1 y) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor inf y) (#s(alt #s(approx (- 1 y) y) (patch #s(approx (- 1 y) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt #s(approx (- 1 y) y) (patch #s(approx (- 1 y) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt #s(approx (- 1 y) y) (patch #s(approx (- 1 y) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt #s(approx (- 1 y) y) (patch #s(approx (- 1 y) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor -inf y) (#s(alt #s(approx (- 1 y) y) (patch #s(approx (- 1 y) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- 1 (/ 1 y)))) (taylor -inf y) (#s(alt #s(approx (- 1 y) y) (patch #s(approx (- 1 y) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- 1 (/ 1 y)))) (taylor -inf y) (#s(alt #s(approx (- 1 y) y) (patch #s(approx (- 1 y) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- 1 (/ 1 y)))) (taylor -inf y) (#s(alt #s(approx (- 1 y) y) (patch #s(approx (- 1 y) y) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (+ x (* (- 1 x) (- 1 y))) |
| 0.0ms | x | @ | inf | (+ x (* (- 1 x) (- 1 y))) |
| 0.0ms | x | @ | -inf | (+ x (* (- 1 x) (- 1 y))) |
| 0.0ms | y | @ | -inf | (+ x (* (- 1 x) (- 1 y))) |
| 0.0ms | y | @ | inf | (+ x (* (- 1 x) (- 1 y))) |
| 1× | egg-herbie |
| 14 282× | lower-fma.f64 |
| 14 282× | lower-fma.f32 |
| 2 722× | lower--.f64 |
| 2 722× | lower--.f32 |
| 1 988× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 280 |
| 1 | 114 | 260 |
| 2 | 297 | 178 |
| 3 | 986 | 178 |
| 4 | 4695 | 178 |
| 5 | 6872 | 178 |
| 0 | 8202 | 160 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- 1 y) |
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) |
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) |
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) |
(* x (+ 1 (* -1 (- 1 y)))) |
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) |
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) |
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) |
(* x y) |
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) |
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) |
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) |
1 |
(+ 1 (* -1 (* y (- 1 x)))) |
(+ 1 (* -1 (* y (- 1 x)))) |
(+ 1 (* -1 (* y (- 1 x)))) |
(* -1 (* y (- 1 x))) |
(* y (+ (* -1 (- 1 x)) (/ 1 y))) |
(* y (+ (* -1 (- 1 x)) (/ 1 y))) |
(* y (+ (* -1 (- 1 x)) (/ 1 y))) |
(* -1 (* y (- 1 x))) |
(* -1 (* y (- 1 (+ x (/ 1 y))))) |
(* -1 (* y (- 1 (+ x (/ 1 y))))) |
(* -1 (* y (- 1 (+ x (/ 1 y))))) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* -1 y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
| Outputs |
|---|
(- 1 y) |
(-.f64 #s(literal 1 binary64) y) |
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* x (+ 1 (* -1 (- 1 y)))) |
(*.f64 x y) |
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* x y) |
(*.f64 x y) |
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* y (- 1 x)))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(+ 1 (* -1 (* y (- 1 x)))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(+ 1 (* -1 (* y (- 1 x)))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* -1 (* y (- 1 x))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) y) |
(* y (+ (* -1 (- 1 x)) (/ 1 y))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* y (+ (* -1 (- 1 x)) (/ 1 y))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* y (+ (* -1 (- 1 x)) (/ 1 y))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* -1 (* y (- 1 x))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) y) |
(* -1 (* y (- 1 (+ x (/ 1 y))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* -1 (* y (- 1 (+ x (/ 1 y))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* -1 (* y (- 1 (+ x (/ 1 y))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
| 5 364× | lower-fma.f64 |
| 5 364× | lower-fma.f32 |
| 3 608× | lower-*.f64 |
| 3 608× | lower-*.f32 |
| 2 212× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 20 |
| 0 | 9 | 20 |
| 1 | 50 | 20 |
| 2 | 429 | 20 |
| 3 | 5495 | 20 |
| 0 | 8688 | 19 |
| 1× | iter limit |
| 1× | node limit |
| 1× | saturated |
| Inputs |
|---|
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) |
#s(approx (- 1 y) y) |
| Outputs |
|---|
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) |
#s(approx (- 1 y) y) |
Compiled 216 to 9 computations (95.8% saved)
7 alts after pruning (0 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 38 | 0 | 38 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 6 | 6 |
| Total | 38 | 7 | 45 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 67.0% | #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) |
| ✓ | 74.0% | #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64)))) |
| ✓ | 58.8% | #s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y)) |
| ✓ | 41.1% | #s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 x y)) |
| ✓ | 27.8% | #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) (neg.f64 y))) |
| ✓ | 2.7% | #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) |
| ✓ | 33.7% | #s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64)) |
Compiled 96 to 37 computations (61.5% saved)
| Inputs |
|---|
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64)) |
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) |
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) (neg.f64 y))) |
#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y)) |
#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 x y)) |
#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64)))) |
#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 (-.f64 x #s(literal 1 binary64)) y)) |
#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) |
#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y (-.f64 #s(literal 1 binary64) y))) |
(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) |
| Outputs |
|---|
#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y (-.f64 #s(literal 1 binary64) y))) |
4 calls:
| 4.0ms | y |
| 4.0ms | x |
| 3.0ms | (-.f64 #s(literal 1 binary64) y) |
| 3.0ms | (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) |
| 100.0% | 1 | (-.f64 #s(literal 1 binary64) y) |
Compiled 22 to 15 computations (31.8% saved)
| Inputs |
|---|
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64)) |
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) |
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) (neg.f64 y))) |
#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y)) |
#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 x y)) |
#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64)))) |
#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 (-.f64 x #s(literal 1 binary64)) y)) |
#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) |
| Outputs |
|---|
#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) |
#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64)))) |
#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) |
4 calls:
| 3.0ms | x |
| 3.0ms | y |
| 3.0ms | (-.f64 #s(literal 1 binary64) y) |
| 3.0ms | (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 3 | x |
| 99.5% | 3 | y |
| 99.5% | 3 | (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) |
| 99.5% | 3 | (-.f64 #s(literal 1 binary64) y) |
Compiled 22 to 15 computations (31.8% saved)
| Inputs |
|---|
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64)) |
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) |
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) (neg.f64 y))) |
#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y)) |
#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 x y)) |
#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64)))) |
#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 (-.f64 x #s(literal 1 binary64)) y)) |
| Outputs |
|---|
#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 (-.f64 x #s(literal 1 binary64)) y)) |
#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64)))) |
#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 (-.f64 x #s(literal 1 binary64)) y)) |
3 calls:
| 3.0ms | y |
| 3.0ms | (-.f64 #s(literal 1 binary64) y) |
| 3.0ms | (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 3 | y |
| 99.4% | 3 | (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) |
| 99.4% | 3 | (-.f64 #s(literal 1 binary64) y) |
Compiled 19 to 13 computations (31.6% saved)
| Inputs |
|---|
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64)) |
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) |
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) (neg.f64 y))) |
#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y)) |
#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 x y)) |
#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64)))) |
#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y)) |
#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64)))) |
4 calls:
| 3.0ms | y |
| 3.0ms | x |
| 2.0ms | (-.f64 #s(literal 1 binary64) y) |
| 2.0ms | (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 3 | x |
| 79.0% | 3 | y |
| 87.9% | 5 | (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) |
| 79.0% | 3 | (-.f64 #s(literal 1 binary64) y) |
Compiled 22 to 15 computations (31.8% saved)
| Inputs |
|---|
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64)) |
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) |
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) (neg.f64 y))) |
#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y)) |
#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 x y)) |
| Outputs |
|---|
#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 x y)) |
#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y)) |
#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 x y)) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.7% | 3 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64)) |
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) |
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) (neg.f64 y))) |
#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y)) |
| Outputs |
|---|
#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y)) |
4 calls:
| 24.0ms | y |
| 2.0ms | x |
| 2.0ms | (-.f64 #s(literal 1 binary64) y) |
| 2.0ms | (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.8% | 1 | (-.f64 #s(literal 1 binary64) y) |
| 58.8% | 1 | y |
| 58.8% | 1 | (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) |
| 58.8% | 1 | x |
Compiled 22 to 15 computations (31.8% saved)
| Inputs |
|---|
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64)) |
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) |
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) (neg.f64 y))) |
| Outputs |
|---|
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) (neg.f64 y))) |
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64)) |
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) (neg.f64 y))) |
4 calls:
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) |
| 2.0ms | (-.f64 #s(literal 1 binary64) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.3% | 3 | (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) |
| 58.3% | 3 | y |
| 58.3% | 3 | (-.f64 #s(literal 1 binary64) y) |
| 40.0% | 3 | x |
Compiled 22 to 15 computations (31.8% saved)
Total -20.2b remaining (-47.7%)
Threshold costs -20.2b (-47.7%)
| Inputs |
|---|
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64)) |
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) |
| Outputs |
|---|
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64)) |
4 calls:
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | (-.f64 #s(literal 1 binary64) y) |
| 1.0ms | (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 33.7% | 1 | x |
| 33.7% | 1 | (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) |
| 33.7% | 1 | y |
| 33.7% | 1 | (-.f64 #s(literal 1 binary64) y) |
Compiled 22 to 15 computations (31.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0000000000058922 | 1.0000000001435043 |
| 0.0ms | -187561227910.68756 | -84.36910860856587 |
Compiled 14 to 13 computations (7.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0000000000058922 | 1.0000000001435043 |
| 0.0ms | -187561227910.68756 | -84.36910860856587 |
Compiled 14 to 13 computations (7.1% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 2.098386402953174e-8 | 0.0016654131914302897 |
| 16.0ms | -1577680328172732.5 | -1700141266.9827127 |
| 17.0ms | 274× | 0 | valid |
| 1.0ms | 14× | 1 | valid |
Compiled 302 to 192 computations (36.4% saved)
ival-sub: 8.0ms (69.6% of total)ival-mult: 2.0ms (17.4% of total)ival-add: 1.0ms (8.7% 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)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 5.913248353638036e+41 | 1.0149155614380087e+43 |
| 13.0ms | -1.374147221528039e+90 | -4.6288454802733874e+85 |
| 9.0ms | 106× | 1 | valid |
| 6.0ms | 134× | 0 | valid |
Compiled 224 to 147 computations (34.4% saved)
ival-sub: 3.0ms (31.4% of total)adjust: 2.0ms (21% of total)ival-mult: 2.0ms (21% of total)ival-add: 2.0ms (21% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1164762193.437463 | 485644447010059.06 |
| 0.0ms | -187561227910.68756 | -84.36910860856587 |
Compiled 14 to 13 computations (7.1% saved)
| 1× | egg-herbie |
| 12× | unsub-neg_binary64 |
| 10× | *-commutative_binary64 |
| 10× | neg-mul-1_binary64 |
| 8× | +-commutative_binary64 |
| 8× | sub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 319 |
| 1 | 60 | 319 |
| 2 | 66 | 319 |
| 3 | 72 | 319 |
| 4 | 79 | 319 |
| 5 | 90 | 319 |
| 1× | saturated |
| Inputs |
|---|
#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y (-.f64 #s(literal 1 binary64) y))) |
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -100000000000 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 562949953477607/562949953421312 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64)))) #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))))) |
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -100000000000 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 (-.f64 x #s(literal 1 binary64)) y)) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 562949953477607/562949953421312 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64)))) #s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 (-.f64 x #s(literal 1 binary64)) y)))) |
(if (<=.f64 x #s(literal -1720000000 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64)))) (if (<=.f64 x #s(literal 3804640965202595/2305843009213693952 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y)) #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64)))))) |
(if (<=.f64 x #s(literal -47999999999999999321924101714281147999610890962098352355151523350072914451550269603840 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 x y)) (if (<=.f64 x #s(literal 1219999999999999995958417601197055420661760 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y)) #s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 x y)))) |
#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y)) |
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -100000000000 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) (neg.f64 y))) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2000000000 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) (neg.f64 y))))) |
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y (-.f64 #s(literal 1 binary64) y))) |
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -100000000000 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 562949953477607/562949953421312 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64)))) #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))))) |
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -100000000000 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 (-.f64 x #s(literal 1 binary64)) y)) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 562949953477607/562949953421312 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64)))) #s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 (-.f64 x #s(literal 1 binary64)) y)))) |
(if (<=.f64 x #s(literal -1720000000 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64)))) (if (<=.f64 x #s(literal 3804640965202595/2305843009213693952 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y)) #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64)))))) |
(if (<=.f64 x #s(literal -47999999999999999321924101714281147999610890962098352355151523350072914451550269603840 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 x y)) (if (<=.f64 x #s(literal 1219999999999999995958417601197055420661760 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y)) #s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 x y)))) |
(if (<=.f64 x #s(literal -47999999999999999321924101714281147999610890962098352355151523350072914451550269603840 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 y x)) (if (<=.f64 x #s(literal 1219999999999999995958417601197055420661760 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y)) #s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 y x)))) |
#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y)) |
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -100000000000 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) (neg.f64 y))) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2000000000 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) (neg.f64 y))))) |
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64)) |
| 20 464× | lower-fma.f64 |
| 20 464× | lower-fma.f32 |
| 13 176× | lower-fma.f64 |
| 13 176× | lower-fma.f32 |
| 8 474× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 88 |
| 0 | 22 | 88 |
| 1 | 91 | 88 |
| 2 | 751 | 88 |
| 0 | 8574 | 83 |
| 0 | 68 | 522 |
| 1 | 186 | 484 |
| 2 | 490 | 362 |
| 3 | 1713 | 362 |
| 4 | 7522 | 362 |
| 0 | 8222 | 344 |
| 0 | 73 | 1886 |
| 1 | 225 | 1740 |
| 2 | 543 | 1123 |
| 3 | 1434 | 1123 |
| 4 | 5092 | 1123 |
| 0 | 8123 | 1015 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 249 to 109 computations (56.2% saved)
Compiled 322 to 96 computations (70.2% saved)
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