
Time bar (total: 9.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 4 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 5 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 6 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 7 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 8 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 9 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 10 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 11 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 13 to 10 computations (23.1% saved)
| 612.0ms | 6 324× | 0 | valid |
| 190.0ms | 1 621× | 1 | valid |
| 72.0ms | 311× | 2 | valid |
ival-sub: 358.0ms (53.3% of total)ival-div: 101.0ms (15% of total)ival-mult: 97.0ms (14.4% of total)ival-add: 52.0ms (7.7% of total)adjust: 50.0ms (7.4% of total)ival-true: 6.0ms (0.9% of total)exact: 4.0ms (0.6% of total)ival-assert: 3.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 52 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| 29 | 0 | - | 0 | - | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | (+.f64 y #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 (-.f64 #s(literal 1 binary64) x) 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 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) | cancellation | 52 | 1 |
/.f64 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) | o/n | 29 | 0 |
| ↳ | (*.f64 (-.f64 #s(literal 1 binary64) x) y) | overflow | 29 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 81 | 0 |
| - | 0 | 175 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 81 | 0 | 0 |
| - | 0 | 1 | 174 |
| number | freq |
|---|---|
| 0 | 175 |
| 1 | 81 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 38.0ms | 82× | 1 | valid |
| 31.0ms | 414× | 0 | valid |
| 3.0ms | 16× | 2 | valid |
Compiled 85 to 28 computations (67.1% saved)
ival-mult: 32.0ms (56.6% of total)ival-sub: 14.0ms (24.7% of total)ival-div: 4.0ms (7.1% of total)ival-add: 3.0ms (5.3% of total)adjust: 2.0ms (3.5% 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 |
| 1 090× | times-frac |
| 928× | lower-fma.f64 |
| 928× | lower-fma.f32 |
| 882× | div-sub |
| 614× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 61 |
| 1 | 58 | 57 |
| 2 | 180 | 55 |
| 3 | 539 | 55 |
| 4 | 1584 | 55 |
| 5 | 3893 | 55 |
| 6 | 4625 | 55 |
| 7 | 4956 | 55 |
| 8 | 4960 | 55 |
| 9 | 4960 | 55 |
| 10 | 5176 | 55 |
| 11 | 5272 | 55 |
| 12 | 5272 | 55 |
| 13 | 5272 | 55 |
| 0 | 8 | 11 |
| 0 | 13 | 11 |
| 1 | 23 | 11 |
| 2 | 48 | 11 |
| 3 | 120 | 11 |
| 4 | 361 | 11 |
| 5 | 901 | 11 |
| 6 | 1739 | 11 |
| 7 | 1941 | 11 |
| 8 | 1965 | 11 |
| 0 | 1965 | 10 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| Outputs |
|---|
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
Compiled 13 to 8 computations (38.5% saved)
Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 71.3% | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
Compiled 13 to 8 computations (38.5% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(literal 1 binary64) x) y) | |
| cost-diff | 0 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) | |
| cost-diff | 128 | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| 928× | lower-fma.f64 |
| 928× | lower-fma.f32 |
| 416× | lower-*.f32 |
| 414× | lower-*.f64 |
| 308× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 34 |
| 0 | 13 | 34 |
| 1 | 23 | 34 |
| 2 | 48 | 34 |
| 3 | 120 | 34 |
| 4 | 361 | 34 |
| 5 | 901 | 34 |
| 6 | 1739 | 34 |
| 7 | 1941 | 34 |
| 8 | 1965 | 34 |
| 0 | 1965 | 33 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
#s(literal 1 binary64) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(-.f64 #s(literal 1 binary64) x) |
x |
y |
(+.f64 y #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(-.f64 #s(literal 1 binary64) x) |
x |
y |
(+.f64 y #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) y) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 y #s(literal 1 binary64)) | |
| accuracy | 0.015625 | (*.f64 (-.f64 #s(literal 1 binary64) x) y) | |
| accuracy | 6.747789202975739 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) | |
| accuracy | 11.657369850315346 | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| 12.0ms | 207× | 0 | valid |
| 5.0ms | 41× | 1 | valid |
| 1.0ms | 8× | 2 | valid |
Compiled 36 to 10 computations (72.2% saved)
ival-sub: 3.0ms (29.3% of total)ival-div: 2.0ms (19.6% of total)ival-mult: 2.0ms (19.6% of total)adjust: 1.0ms (9.8% of total)ival-add: 1.0ms (9.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ()) |
#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (- 1 (/ y (+ 1 y))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* y (- x 1))) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (/ 1 y)) (/ x y)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3)))))) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ (- x 1) y))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ y (+ 1 y)) (taylor 0 x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) (taylor 0 x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) (taylor 0 x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) (taylor 0 x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x y) (+ 1 y))) (taylor inf x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))) (taylor inf x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))) (taylor inf x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))) (taylor inf x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x y) (+ 1 y))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- 1 x)) (taylor 0 y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ 1 (* y (- x 1))) x)) (taylor 0 y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)) (taylor 0 y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) x)) (taylor 0 y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- 1 x) (taylor inf y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (/ x y)) (+ x (/ 1 y))) (taylor inf y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ x (+ (/ 1 y) (/ x (pow y 2))))) (taylor inf y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ x (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))) (taylor inf y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- 1 x) (taylor -inf y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (/ x y)) (+ x (/ 1 y))) (taylor -inf y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) x) (taylor -inf y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) y))) x) (taylor -inf y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 (* x y))) (taylor 0 x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 (* x y))) (taylor 0 x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 (* x y))) (taylor 0 x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 y) (/ y x))) (taylor inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 y) (/ y x))) (taylor inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 y) (/ y x))) (taylor inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ y (* -1 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ y (* -1 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ y (* -1 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- 1 x)) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- 1 x)) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- 1 x)) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- 1 x)) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- 1 x)) (taylor inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- 1 x)) (taylor inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- 1 x)) (taylor inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- 1 x)) (taylor inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- 1 x)) (taylor -inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- 1 x)) (taylor -inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- 1 x)) (taylor -inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- 1 x)) (taylor -inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) 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 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ 1 y))) (taylor inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ 1 y))) (taylor inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ 1 y))) (taylor inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor -inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ 1 y))) (taylor -inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ 1 y))) (taylor -inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ 1 y))) (taylor -inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | (* (- 1 x) y) |
| 1.0ms | x | @ | inf | (- 1 (/ (* (- 1 x) y) (+ y 1))) |
| 1.0ms | x | @ | 0 | (- 1 (/ (* (- 1 x) y) (+ y 1))) |
| 0.0ms | y | @ | 0 | (- 1 (/ (* (- 1 x) y) (+ y 1))) |
| 0.0ms | x | @ | -inf | (- 1 (/ (* (- 1 x) y) (+ y 1))) |
| 1× | egg-herbie |
| 13 336× | lower-fma.f64 |
| 13 336× | lower-fma.f32 |
| 3 556× | lower-+.f64 |
| 3 556× | lower-+.f32 |
| 2 780× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 127 | 823 |
| 1 | 400 | 799 |
| 2 | 1127 | 684 |
| 3 | 4566 | 669 |
| 0 | 8319 | 648 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- 1 (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(/ (* x y) (+ 1 y)) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(/ (* x y) (+ 1 y)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
1 |
(+ 1 (* y (- x 1))) |
(+ 1 (* y (- (+ x (* y (- 1 x))) 1))) |
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) |
x |
(- (+ x (/ 1 y)) (/ x y)) |
(- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y)) |
(- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3)))))) |
x |
(+ x (* -1 (/ (- x 1) y))) |
(+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y))) |
(+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y))) |
(/ y (+ 1 y)) |
(+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(* -1 (/ (* x y) (+ 1 y))) |
(* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))) |
(* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))) |
(* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))) |
(* -1 (/ (* x y) (+ 1 y))) |
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))))) |
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))))) |
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))))) |
(* y (- 1 x)) |
(* y (- (+ 1 (* y (- x 1))) x)) |
(* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)) |
(* y (- (+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) x)) |
(- 1 x) |
(- (+ 1 (/ x y)) (+ x (/ 1 y))) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ x (+ (/ 1 y) (/ x (pow y 2))))) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ x (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))) |
(- 1 x) |
(- (+ 1 (/ x y)) (+ x (/ 1 y))) |
(- (+ 1 (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) x) |
(- (+ 1 (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) y))) x) |
y |
(+ y (* -1 (* x y))) |
(+ y (* -1 (* x y))) |
(+ y (* -1 (* x y))) |
(* -1 (* x y)) |
(* x (+ (* -1 y) (/ y x))) |
(* x (+ (* -1 y) (/ y x))) |
(* x (+ (* -1 y) (/ y x))) |
(* -1 (* x y)) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 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 y) |
(+ 1 y) |
(+ 1 y) |
y |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
y |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
| Outputs |
|---|
(- 1 (/ y (+ 1 y))) |
(+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* y (- x 1))) |
(fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* y (- (+ x (* y (- 1 x))) 1))) |
(fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) |
(fma.f64 y (+.f64 #s(literal -1 binary64) (fma.f64 (-.f64 (*.f64 y x) y) (+.f64 y #s(literal -1 binary64)) x)) #s(literal 1 binary64)) |
x |
(- (+ x (/ 1 y)) (/ x y)) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y)) |
(fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x) |
(- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3)))))) |
(+.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x)) (/.f64 x (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) |
x |
(+ x (* -1 (/ (- x 1) y))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y))) |
(fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x) |
(+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)) y)) |
(/ y (+ 1 y)) |
(/.f64 y (+.f64 #s(literal 1 binary64) y)) |
(+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x)) |
(+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x)) |
(+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x)) |
(* -1 (/ (* x y) (+ 1 y))) |
(*.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y))) |
(* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x)) |
(* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x)) |
(* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x)) |
(* -1 (/ (* x y) (+ 1 y))) |
(*.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y))) |
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))))) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x)) |
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))))) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x)) |
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))))) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x)) |
(* y (- 1 x)) |
(-.f64 y (*.f64 y x)) |
(* y (- (+ 1 (* y (- x 1))) x)) |
(*.f64 (-.f64 (*.f64 y x) y) (+.f64 y #s(literal -1 binary64))) |
(* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)) |
(fma.f64 y (fma.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 y #s(literal -1 binary64))) (neg.f64 x)) y) |
(* y (- (+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) x)) |
(fma.f64 y (fma.f64 y (fma.f64 (-.f64 (*.f64 y x) y) (+.f64 y #s(literal -1 binary64)) x) (-.f64 (neg.f64 y) x)) y) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
(- (+ 1 (/ x y)) (+ x (/ 1 y))) |
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ x (+ (/ 1 y) (/ x (pow y 2))))) |
(-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ x (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))) |
(+.f64 (+.f64 (+.f64 (/.f64 x (*.f64 y (*.f64 y y))) (/.f64 (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x) (neg.f64 y))) (+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))))) (-.f64 #s(literal 1 binary64) x)) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
(- (+ 1 (/ x y)) (+ x (/ 1 y))) |
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x)) |
(- (+ 1 (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) x) |
(-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)) |
(- (+ 1 (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) y))) x) |
(*.f64 (+.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal -1 binary64))) |
y |
(+ y (* -1 (* x y))) |
(-.f64 y (*.f64 y x)) |
(+ y (* -1 (* x y))) |
(-.f64 y (*.f64 y x)) |
(+ y (* -1 (* x y))) |
(-.f64 y (*.f64 y x)) |
(* -1 (* x y)) |
(*.f64 x (neg.f64 y)) |
(* x (+ (* -1 y) (/ y x))) |
(-.f64 y (*.f64 y x)) |
(* x (+ (* -1 y) (/ y x))) |
(-.f64 y (*.f64 y x)) |
(* x (+ (* -1 y) (/ y x))) |
(-.f64 y (*.f64 y x)) |
(* -1 (* x y)) |
(*.f64 x (neg.f64 y)) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(-.f64 y (*.f64 y x)) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(-.f64 y (*.f64 y x)) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(-.f64 y (*.f64 y x)) |
(* y (- 1 x)) |
(-.f64 y (*.f64 y x)) |
(* y (- 1 x)) |
(-.f64 y (*.f64 y x)) |
(* y (- 1 x)) |
(-.f64 y (*.f64 y x)) |
(* y (- 1 x)) |
(-.f64 y (*.f64 y x)) |
(* y (- 1 x)) |
(-.f64 y (*.f64 y x)) |
(* y (- 1 x)) |
(-.f64 y (*.f64 y x)) |
(* y (- 1 x)) |
(-.f64 y (*.f64 y x)) |
(* y (- 1 x)) |
(-.f64 y (*.f64 y x)) |
(* y (- 1 x)) |
(-.f64 y (*.f64 y x)) |
(* y (- 1 x)) |
(-.f64 y (*.f64 y x)) |
(* y (- 1 x)) |
(-.f64 y (*.f64 y x)) |
(* y (- 1 x)) |
(-.f64 y (*.f64 y x)) |
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 y) |
(+.f64 #s(literal 1 binary64) y) |
(+ 1 y) |
(+.f64 #s(literal 1 binary64) y) |
(+ 1 y) |
(+.f64 #s(literal 1 binary64) y) |
y |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
y |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
| 6 332× | lower-fma.f64 |
| 6 332× | lower-fma.f32 |
| 4 782× | lower-*.f32 |
| 4 780× | lower-*.f64 |
| 3 674× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 31 |
| 0 | 13 | 31 |
| 1 | 63 | 31 |
| 2 | 533 | 31 |
| 0 | 8517 | 30 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(-.f64 #s(literal 1 binary64) x) |
(+.f64 y #s(literal 1 binary64)) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y)))) |
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y))) #s(literal 1 binary64)) |
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 y (neg.f64 x) y) (+.f64 #s(literal 1 binary64) y)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 (fma.f64 y (neg.f64 x) y) (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 y (neg.f64 x) y)))) (*.f64 (fma.f64 (/.f64 (fma.f64 y (neg.f64 x) y) (+.f64 #s(literal 1 binary64) y)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 y (neg.f64 x) y))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (neg.f64 x) y) (+.f64 #s(literal 1 binary64) y))) |
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 (fma.f64 y (neg.f64 x) y) (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 y (neg.f64 x) y) (+.f64 #s(literal 1 binary64) y)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (fma.f64 y (neg.f64 x) y) (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 y (neg.f64 x) y)))) (*.f64 (fma.f64 (/.f64 (fma.f64 y (neg.f64 x) y) (+.f64 #s(literal 1 binary64) y)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) (/.f64 (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 y (neg.f64 x) y))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y))) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 y (neg.f64 x) y) (+.f64 #s(literal 1 binary64) y)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 (fma.f64 y (neg.f64 x) y) (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 y (neg.f64 x) y)))) (*.f64 (fma.f64 (/.f64 (fma.f64 y (neg.f64 x) y) (+.f64 #s(literal 1 binary64) y)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) 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) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 y (neg.f64 x) y))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 y (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 y (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
(fma.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y))) #s(literal 1 binary64)) |
(fma.f64 y (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 y (neg.f64 x) y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (fma.f64 y (neg.f64 x) y) (+.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (/.f64 y (-.f64 #s(literal -1 binary64) y))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 y)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y))) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 y (-.f64 #s(literal -1 binary64) y))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (neg.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 y (neg.f64 x) y) (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 y) (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) (fma.f64 y (neg.f64 x) y) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (fma.f64 y (neg.f64 x) y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (fma.f64 y (neg.f64 x) y) (fma.f64 y y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
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(-.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y))) |
(fma.f64 #s(literal 1 binary64) y #s(literal 1 binary64)) |
(fma.f64 y #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 y (/.f64 y (+.f64 y #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))) |
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))) |
(fma.f64 (/.f64 (*.f64 y y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) y) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))) |
(fma.f64 (/.f64 (*.f64 y y) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (+.f64 (fma.f64 y y #s(literal 1 binary64)) y) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))) |
(neg.f64 (-.f64 #s(literal -1 binary64) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))) |
(/.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 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(/.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) |
(/.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)) |
(/.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (neg.f64 (neg.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)))) |
(/.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) |
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))) |
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y))) |
(/.f64 (neg.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) |
(/.f64 (neg.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)))) |
(/.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (-.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))))) |
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) (*.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (fma.f64 y (*.f64 y y) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y (*.f64 y (*.f64 y y)) (fma.f64 y y #s(literal 1 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (fma.f64 y (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y y #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (*.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64)))) (+.f64 y #s(literal -1 binary64))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))) (fma.f64 y (/.f64 y (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))) |
(/.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)) |
(/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 y #s(literal -1 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) (-.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal 1 binary64)) (*.f64 y (*.f64 y y)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) (fma.f64 y (*.f64 y (*.f64 y y)) (fma.f64 y y #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 y (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) (fma.f64 y y #s(literal 1 binary64))) |
(pow.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) y)) |
(*.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(*.f64 (+.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))) |
(*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))) |
(*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) |
(*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) |
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y)) |
(*.f64 (neg.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)))) |
(*.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y y)) (*.f64 y (*.f64 y (*.f64 y y))))) |
(*.f64 (/.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y))) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y)) |
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (+.f64 (fma.f64 y y #s(literal 1 binary64)) y)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (+.f64 (fma.f64 y y #s(literal 1 binary64)) y)) |
Compiled 13 697 to 1 626 computations (88.1% saved)
11 alts after pruning (11 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 553 | 11 | 564 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 554 | 11 | 565 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 81.6% | (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
| 67.6% | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) (+.f64 y #s(literal 1 binary64)))) | |
| 43.4% | (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))) | |
| 28.1% | (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x))) | |
| 46.4% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)) | |
| ▶ | 54.0% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) |
| ▶ | 54.3% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
| 46.9% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)) y))) | |
| 46.5% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) | |
| ▶ | 50.4% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)) |
| ▶ | 42.4% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
Compiled 250 to 154 computations (38.4% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | (/.f64 y (+.f64 #s(literal 1 binary64) y)) | |
| cost-diff | 0 | (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) | |
| cost-diff | 0 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | (-.f64 y (*.f64 y x)) | |
| cost-diff | 0 | (fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (+.f64 x #s(literal -1 binary64)) | |
| cost-diff | 0 | (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) | |
| 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 | 0 | (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
| 7 152× | lower-fma.f32 |
| 7 146× | lower-fma.f64 |
| 1 320× | lower-+.f32 |
| 1 320× | lower--.f32 |
| 1 314× | lower-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 156 |
| 0 | 42 | 156 |
| 1 | 86 | 156 |
| 2 | 164 | 152 |
| 3 | 368 | 152 |
| 4 | 1088 | 152 |
| 5 | 2952 | 152 |
| 6 | 4603 | 152 |
| 7 | 5109 | 152 |
| 8 | 5304 | 152 |
| 9 | 5385 | 152 |
| 10 | 5412 | 152 |
| 11 | 5459 | 152 |
| 12 | 5475 | 152 |
| 13 | 5475 | 152 |
| 14 | 5475 | 152 |
| 15 | 5650 | 152 |
| 16 | 5706 | 152 |
| 0 | 5706 | 152 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
y |
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(-.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
y |
(+.f64 x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) |
(fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) |
(-.f64 y (*.f64 y x)) |
y |
(*.f64 y x) |
x |
(+.f64 y #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
(/.f64 y (+.f64 #s(literal 1 binary64) y)) |
y |
(+.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
x |
| Outputs |
|---|
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
y |
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(-.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 (fma.f64 y x #s(literal 1 binary64)) y)) |
(fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(-.f64 (fma.f64 y x #s(literal 1 binary64)) y) |
y |
(+.f64 x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y) #s(literal 1 binary64))) |
(fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y) #s(literal 1 binary64)) |
(-.f64 y (*.f64 y x)) |
y |
(*.f64 y x) |
x |
(+.f64 y #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(/.f64 y (+.f64 #s(literal 1 binary64) y)) |
(/.f64 y (+.f64 y #s(literal 1 binary64))) |
y |
(+.f64 #s(literal 1 binary64) y) |
(+.f64 y #s(literal 1 binary64)) |
#s(literal 1 binary64) |
x |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.00390625 | (/.f64 y (+.f64 #s(literal 1 binary64) y)) | |
| accuracy | 0.01953125 | (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) | |
| accuracy | 31.73702730416126 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 0.015625 | (-.f64 y (*.f64 y x)) | |
| accuracy | 0.0234375 | (fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) | |
| accuracy | 29.44575112507383 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) | |
| accuracy | 0 | (+.f64 x #s(literal -1 binary64)) | |
| accuracy | 0.01171875 | (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) | |
| accuracy | 29.227316762203007 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) | |
| accuracy | 36.83733771456199 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) x) | |
| accuracy | 0 | (-.f64 #s(literal -1 binary64) y) | |
| accuracy | 0.01953125 | (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) | |
| accuracy | 11.744564959324341 | (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
| 33.0ms | 207× | 0 | valid |
| 21.0ms | 41× | 1 | valid |
| 4.0ms | 8× | 2 | valid |
Compiled 133 to 26 computations (80.5% saved)
ival-mult: 10.0ms (28.9% of total)ival-add: 9.0ms (26.1% of total)ival-div: 6.0ms (17.4% of total)ival-sub: 6.0ms (17.4% of total)adjust: 4.0ms (11.6% 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 (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (patch (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #<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>) () ()) |
#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (+.f64 x #s(literal -1 binary64)) (patch (+.f64 x #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 y (*.f64 y x)) (patch (-.f64 y (*.f64 y x)) #<representation binary64>) () ()) |
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) (patch (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) #<representation binary64>) () ()) |
#s(alt (/.f64 y (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 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>) () ()) |
| Outputs |
|---|
#s(alt 1 (taylor 0 y) (#s(alt (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (patch (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* y (- 1 x)))) (taylor 0 y) (#s(alt (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (patch (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* y (+ (* -1 (* y (- x 1))) (* -1 (- 1 x))))) (taylor 0 y) (#s(alt (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (patch (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* y (+ (* -1 (- 1 x)) (* y (+ (* -1 (* y (- 1 x))) (* -1 (- x 1))))))) (taylor 0 y) (#s(alt (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (patch (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (- 1 x))) (taylor inf y) (#s(alt (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (patch (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (- x 1) y)))) (taylor inf y) (#s(alt (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (patch (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (* -1 (/ (- x 1) y))))) (taylor inf y) (#s(alt (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (patch (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (+ (* -1 (/ (- x 1) y)) (* -1 (/ (- x 1) (pow y 3))))))) (taylor inf y) (#s(alt (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (patch (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (- 1 x))) (taylor -inf y) (#s(alt (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (patch (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (+ (* -1 (- 1 x)) (/ 1 y))) (/ x y)) (taylor -inf y) (#s(alt (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (patch (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y)))) (taylor -inf y) (#s(alt (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (patch (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y))) y)))) (taylor -inf y) (#s(alt (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (patch (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ y (+ 1 y)))) (taylor 0 x) (#s(alt (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (patch (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))) (taylor 0 x) (#s(alt (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (patch (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))) (taylor 0 x) (#s(alt (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (patch (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))) (taylor 0 x) (#s(alt (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (patch (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor inf x) (#s(alt (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (patch (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y))))) (taylor inf x) (#s(alt (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (patch (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y))))) (taylor inf x) (#s(alt (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (patch (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y))))) (taylor inf x) (#s(alt (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (patch (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (patch (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x))))) (taylor -inf x) (#s(alt (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (patch (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x))))) (taylor -inf x) (#s(alt (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (patch (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x))))) (taylor -inf x) (#s(alt (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (patch (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (+ 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 (- (/ x (+ 1 y)) (/ 1 (+ 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 (- (/ x (+ 1 y)) (/ 1 (+ 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 (- (/ x (+ 1 y)) (/ 1 (+ 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 (/ 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 (+ 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 (+ 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 (+ 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 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 (* x (+ 1 y))) (/ 1 (+ 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 (* x (+ 1 y))) (/ 1 (+ 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 (* x (+ 1 y))) (/ 1 (+ 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 (- 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 (* y (- x 1))) (* -1 (- 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 x)) (* y (+ (* -1 (* y (- 1 x))) (* -1 (- x 1))))) (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 x)) (* y (+ (* -1 (- x 1)) (* y (+ (* -1 (* y (- x 1))) (* -1 (- 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 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 (- 1 x)) (* -1 (/ (- x 1) y))) 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 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (* -1 (/ (- x 1) y)))) 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 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (+ (* -1 (/ (- x 1) y)) (* -1 (/ (- x 1) (pow y 3)))))) 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>) () ())) ()) |
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#s(alt (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y))) (taylor -inf y) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) (patch (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) (patch (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* y (- (* x y) x)))) (taylor 0 y) (#s(alt (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) (patch (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))) (taylor 0 y) (#s(alt (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) (patch (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf y) (#s(alt (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) (patch (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ x y))) (taylor inf y) (#s(alt (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) (patch (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (/ x (pow y 2))) (/ x y)) (taylor inf y) (#s(alt (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) (patch (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) (taylor inf y) (#s(alt (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) (patch (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf y) (#s(alt (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) (patch (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ x y))) (taylor -inf y) (#s(alt (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) (patch (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) (taylor -inf y) (#s(alt (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) (patch (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y))) (taylor -inf y) (#s(alt (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) (patch (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor 0 x) (#s(alt (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) (patch (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor 0 x) (#s(alt (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) (patch (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor 0 x) (#s(alt (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) (patch (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor 0 x) (#s(alt (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) (patch (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor inf x) (#s(alt (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) (patch (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor inf x) (#s(alt (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) (patch (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor inf x) (#s(alt (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) (patch (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor inf x) (#s(alt (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) (patch (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) (patch (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) (patch (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) (patch (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) (patch (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 y) (#s(alt (/.f64 y (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 y (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1 y))) (taylor 0 y) (#s(alt (/.f64 y (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 y (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* y (- y 1)))) (taylor 0 y) (#s(alt (/.f64 y (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 y (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))) (taylor 0 y) (#s(alt (/.f64 y (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 y (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor inf y) (#s(alt (/.f64 y (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 y (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (/ 1 y)) (taylor inf y) (#s(alt (/.f64 y (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 y (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) (taylor inf y) (#s(alt (/.f64 y (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 y (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) (taylor inf y) (#s(alt (/.f64 y (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 y (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor -inf y) (#s(alt (/.f64 y (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 y (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (/ 1 y)) (taylor -inf y) (#s(alt (/.f64 y (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 y (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) (taylor -inf y) (#s(alt (/.f64 y (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 y (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y))) (taylor -inf y) (#s(alt (/.f64 y (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 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 y) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) y) (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) y) (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) y) (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt 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 (/ 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 (/ 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 (/ 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 (taylor -inf y) (#s(alt (+.f64 #s(literal 1 binary64) y) (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* 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 (* 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 (* y (+ 1 (/ 1 y))) (taylor -inf y) (#s(alt (+.f64 #s(literal 1 binary64) y) (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
81 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | (+ (* y (+ x -1)) 1) |
| 0.0ms | x | @ | inf | (* (/ y (+ 1 y)) x) |
| 0.0ms | x | @ | inf | (/ (- 1 x) (- -1 y)) |
| 0.0ms | x | @ | 0 | (/ (- 1 x) (- -1 y)) |
| 0.0ms | x | @ | inf | (+ (* (- y (* y x)) (+ y -1)) 1) |
| 1× | egg-herbie |
| 22 240× | lower-fma.f64 |
| 22 240× | lower-fma.f32 |
| 4 922× | lower-+.f64 |
| 4 922× | lower-+.f32 |
| 3 400× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 279 | 3417 |
| 1 | 925 | 2962 |
| 2 | 2764 | 2640 |
| 0 | 8208 | 2501 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* -1 (* y (- 1 x)))) |
(+ 1 (* y (+ (* -1 (* y (- x 1))) (* -1 (- 1 x))))) |
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (+ (* -1 (* y (- 1 x))) (* -1 (- x 1))))))) |
(+ 1 (* -1 (- 1 x))) |
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (- x 1) y)))) |
(+ 1 (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (* -1 (/ (- x 1) y))))) |
(+ 1 (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (+ (* -1 (/ (- x 1) y)) (* -1 (/ (- x 1) (pow y 3))))))) |
(+ 1 (* -1 (- 1 x))) |
(- (+ 1 (+ (* -1 (- 1 x)) (/ 1 y))) (/ x y)) |
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y)))) |
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y))) y)))) |
(+ 1 (* -1 (/ y (+ 1 y)))) |
(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))) |
(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))) |
(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))) |
(/ (* x y) (+ 1 y)) |
(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y))))) |
(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y))))) |
(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y))))) |
(/ (* x y) (+ 1 y)) |
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x))))) |
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x))))) |
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x))))) |
(/ -1 (+ 1 y)) |
(- (/ x (+ 1 y)) (/ 1 (+ 1 y))) |
(- (/ x (+ 1 y)) (/ 1 (+ 1 y))) |
(- (/ x (+ 1 y)) (/ 1 (+ 1 y))) |
(/ x (+ 1 y)) |
(* x (- (/ 1 (+ 1 y)) (/ 1 (* x (+ 1 y))))) |
(* x (- (/ 1 (+ 1 y)) (/ 1 (* x (+ 1 y))))) |
(* x (- (/ 1 (+ 1 y)) (/ 1 (* x (+ 1 y))))) |
(/ x (+ 1 y)) |
(* -1 (* x (- (/ 1 (* x (+ 1 y))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (/ 1 (* x (+ 1 y))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (/ 1 (* x (+ 1 y))) (/ 1 (+ 1 y))))) |
(* -1 (- 1 x)) |
(+ (* -1 (* y (- x 1))) (* -1 (- 1 x))) |
(+ (* -1 (- 1 x)) (* y (+ (* -1 (* y (- 1 x))) (* -1 (- x 1))))) |
(+ (* -1 (- 1 x)) (* y (+ (* -1 (- x 1)) (* y (+ (* -1 (* y (- x 1))) (* -1 (- 1 x))))))) |
(* -1 (/ (- 1 x) y)) |
(/ (+ (* -1 (- 1 x)) (* -1 (/ (- x 1) y))) y) |
(/ (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (* -1 (/ (- x 1) y)))) y) |
(/ (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (+ (* -1 (/ (- x 1) y)) (* -1 (/ (- x 1) (pow y 3)))))) y) |
(* -1 (/ (- 1 x) y)) |
(* -1 (/ (- (+ 1 (* -1 (/ (- 1 x) y))) x) y)) |
(* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (- 1 x) y)) (* -1 (- 1 x))) y))) x) y)) |
(* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- 1 x) y)) (* -1 (- 1 x))) y)) (* -1 (- 1 x))) y))) x) y)) |
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 y) 1) |
(- (* -1 y) 1) |
(- (* -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 (/ 1 y)))) |
(* -1 (* y (+ 1 (/ 1 y)))) |
(* -1 (* y (+ 1 (/ 1 y)))) |
(- 1 (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(/ (* x y) (+ 1 y)) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(/ (* x y) (+ 1 y)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
1 |
(+ 1 (* y (- x 1))) |
(+ 1 (* y (- (+ x (* y (- 1 x))) 1))) |
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) |
x |
(- (+ x (/ 1 y)) (/ x y)) |
(- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y)) |
(- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3)))))) |
x |
(+ x (* -1 (/ (- x 1) y))) |
(+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y))) |
(+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y))) |
(- 1 (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(/ (* x y) (+ 1 y)) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(/ (* x y) (+ 1 y)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
1 |
(+ 1 (* y (- x 1))) |
(+ 1 (* y (- (+ x (* y (- 1 x))) 1))) |
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) |
x |
(- (+ x (/ 1 y)) (/ x y)) |
(- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y)) |
(- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3)))))) |
x |
(+ x (* -1 (/ (- x 1) y))) |
(+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y))) |
(+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y))) |
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)) |
(* y (- x 1)) |
(* -1 (* y (- (* -1 (- x 1)) (/ 1 y)))) |
(* -1 (* y (- (* -1 (- x 1)) (/ 1 y)))) |
(* -1 (* y (- (* -1 (- x 1)) (/ 1 y)))) |
(+ 1 (* -1 y)) |
(+ 1 (+ (* -1 y) (* x y))) |
(+ 1 (+ (* -1 y) (* x y))) |
(+ 1 (+ (* -1 y) (* x y))) |
(* x y) |
(* x (+ y (+ (* -1 (/ y x)) (/ 1 x)))) |
(* x (+ y (+ (* -1 (/ y x)) (/ 1 x)))) |
(* x (+ y (+ (* -1 (/ y x)) (/ 1 x)))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 (* -1 y)) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 (* -1 y)) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 (* -1 y)) x))))) |
-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))) |
(- 1 (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(/ (* x y) (+ 1 y)) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(/ (* x y) (+ 1 y)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
1 |
(+ 1 (* y (- x 1))) |
(+ 1 (* y (- (+ x (* y (- 1 x))) 1))) |
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) |
x |
(- (+ x (/ 1 y)) (/ x y)) |
(- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y)) |
(- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3)))))) |
x |
(+ x (* -1 (/ (- x 1) y))) |
(+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y))) |
(+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y))) |
1 |
(+ 1 (* -1 (* y (- 1 x)))) |
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x))))) |
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x))))) |
(* (pow y 2) (- 1 x)) |
(* (pow y 2) (- (+ 1 (* -1 (/ (- 1 x) y))) x)) |
(* (pow y 2) (- (+ 1 (+ (* -1 (/ (- 1 x) y)) (/ 1 (pow y 2)))) x)) |
(* (pow y 2) (- (+ 1 (+ (* -1 (/ (- 1 x) y)) (/ 1 (pow y 2)))) x)) |
(* (pow y 2) (+ 1 (* -1 x))) |
(* (pow y 2) (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y))))) |
(* (pow y 2) (+ 1 (+ (* -1 x) (* -1 (/ (- (+ 1 (* -1 x)) (/ 1 y)) y))))) |
(* (pow y 2) (+ 1 (+ (* -1 x) (* -1 (/ (- (+ 1 (* -1 x)) (/ 1 y)) y))))) |
(+ 1 (* y (- y 1))) |
(+ 1 (+ (* -1 (* x (* y (- y 1)))) (* y (- y 1)))) |
(+ 1 (+ (* -1 (* x (* y (- y 1)))) (* y (- y 1)))) |
(+ 1 (+ (* -1 (* x (* y (- y 1)))) (* y (- y 1)))) |
(* -1 (* x (* y (- y 1)))) |
(* x (+ (* -1 (* y (- y 1))) (+ (/ 1 x) (/ (* y (- y 1)) x)))) |
(* x (+ (* -1 (* y (- y 1))) (+ (/ 1 x) (/ (* y (- y 1)) x)))) |
(* x (+ (* -1 (* y (- y 1))) (+ (/ 1 x) (/ (* y (- y 1)) x)))) |
(* -1 (* x (* y (- y 1)))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1))))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1))))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1))))) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (+ 1 (* -1 x))) |
(* y (+ 1 (* -1 x))) |
(* y (+ 1 (* -1 x))) |
(* y (+ 1 (* -1 x))) |
y |
(+ y (* -1 (* x y))) |
(+ y (* -1 (* x y))) |
(+ y (* -1 (* x y))) |
(* -1 (* x y)) |
(* x (- (/ y x) y)) |
(* x (- (/ y x) y)) |
(* x (- (/ y x) y)) |
(* -1 (* x y)) |
(* -1 (* x (- (* -1 (/ y x)) (* -1 y)))) |
(* -1 (* x (- (* -1 (/ y x)) (* -1 y)))) |
(* -1 (* x (- (* -1 (/ y 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 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(/ (* x y) (+ 1 y)) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(/ (* x y) (+ 1 y)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
1 |
(+ 1 (* y (- x 1))) |
(+ 1 (* y (- (+ x (* y (- 1 x))) 1))) |
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) |
x |
(- (+ x (/ 1 y)) (/ x y)) |
(- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y)) |
(- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3)))))) |
x |
(+ x (* -1 (/ (- x 1) y))) |
(+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y))) |
(+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y))) |
(* x y) |
(* y (+ x (* -1 (* x y)))) |
(* y (+ x (* y (- (* x y) x)))) |
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))) |
x |
(+ x (* -1 (/ x y))) |
(- (+ x (/ x (pow y 2))) (/ x y)) |
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) |
x |
(+ x (* -1 (/ x y))) |
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) |
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y))) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
y |
(* y (+ 1 (* -1 y))) |
(* y (+ 1 (* y (- y 1)))) |
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))) |
1 |
(- 1 (/ 1 y)) |
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) |
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) |
1 |
(- 1 (/ 1 y)) |
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y))) |
1 |
(+ 1 y) |
(+ 1 y) |
(+ 1 y) |
y |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
y |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* y (- 1 x)))) |
(fma.f64 y (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(+ 1 (* y (+ (* -1 (* y (- x 1))) (* -1 (- 1 x))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y) #s(literal 1 binary64)) |
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (+ (* -1 (* y (- 1 x))) (* -1 (- x 1))))))) |
(fma.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) #s(literal 1 binary64)) |
(+ 1 (* -1 (- 1 x))) |
x |
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (- x 1) y)))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+ 1 (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (* -1 (/ (- x 1) y))))) |
(fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) x) |
(+ 1 (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (+ (* -1 (/ (- x 1) y)) (* -1 (/ (- x 1) (pow y 3))))))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) x)) y)) |
(+ 1 (* -1 (- 1 x))) |
x |
(- (+ 1 (+ (* -1 (- 1 x)) (/ 1 y))) (/ x y)) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y)))) |
(fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) x) |
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y))) y)))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) x)) y)) |
(+ 1 (* -1 (/ y (+ 1 y)))) |
(+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(/ (* x y) (+ 1 y)) |
(/.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) y)) |
(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y))))) |
(fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y))))) |
(fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y))))) |
(fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
(/ (* x y) (+ 1 y)) |
(/.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x))))) |
(fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x))))) |
(fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x))))) |
(fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
(/ -1 (+ 1 y)) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) |
(- (/ x (+ 1 y)) (/ 1 (+ 1 y))) |
(+.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y))) |
(- (/ x (+ 1 y)) (/ 1 (+ 1 y))) |
(+.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y))) |
(- (/ x (+ 1 y)) (/ 1 (+ 1 y))) |
(+.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y))) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(* x (- (/ 1 (+ 1 y)) (/ 1 (* x (+ 1 y))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal -1 binary64) (fma.f64 y x x)))) |
(* x (- (/ 1 (+ 1 y)) (/ 1 (* x (+ 1 y))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal -1 binary64) (fma.f64 y x x)))) |
(* x (- (/ 1 (+ 1 y)) (/ 1 (* x (+ 1 y))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal -1 binary64) (fma.f64 y x x)))) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (- (/ 1 (* x (+ 1 y))) (/ 1 (+ 1 y))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal -1 binary64) (fma.f64 y x x)))) |
(* -1 (* x (- (/ 1 (* x (+ 1 y))) (/ 1 (+ 1 y))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal -1 binary64) (fma.f64 y x x)))) |
(* -1 (* x (- (/ 1 (* x (+ 1 y))) (/ 1 (+ 1 y))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal -1 binary64) (fma.f64 y x x)))) |
(* -1 (- 1 x)) |
(+.f64 #s(literal -1 binary64) x) |
(+ (* -1 (* y (- x 1))) (* -1 (- 1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) |
(+ (* -1 (- 1 x)) (* y (+ (* -1 (* y (- 1 x))) (* -1 (- x 1))))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) |
(+ (* -1 (- 1 x)) (* y (+ (* -1 (- x 1)) (* y (+ (* -1 (* y (- x 1))) (* -1 (- 1 x))))))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y))) |
(* -1 (/ (- 1 x) y)) |
(/.f64 (+.f64 #s(literal -1 binary64) x) y) |
(/ (+ (* -1 (- 1 x)) (* -1 (/ (- x 1) y))) y) |
(/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) y) |
(/ (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (* -1 (/ (- x 1) y)))) y) |
(/.f64 (+.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) x)) y) |
(/ (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (+ (* -1 (/ (- x 1) y)) (* -1 (/ (- x 1) (pow y 3)))))) y) |
(/.f64 (+.f64 (+.f64 #s(literal -1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) x)) y)) y) |
(* -1 (/ (- 1 x) y)) |
(/.f64 (+.f64 #s(literal -1 binary64) x) y) |
(* -1 (/ (- (+ 1 (* -1 (/ (- 1 x) y))) x) y)) |
(/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) y) |
(* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (- 1 x) y)) (* -1 (- 1 x))) y))) x) y)) |
(/.f64 (+.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) x)) y) |
(* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- 1 x) y)) (* -1 (- 1 x))) y)) (* -1 (- 1 x))) y))) x) y)) |
(/.f64 (+.f64 (+.f64 #s(literal -1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) x)) y)) y) |
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 y) 1) |
(-.f64 #s(literal -1 binary64) y) |
(- (* -1 y) 1) |
(-.f64 #s(literal -1 binary64) 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 (+ 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 (+ 1 y))) |
(+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(/ (* x y) (+ 1 y)) |
(/.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) y)) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
(/ (* x y) (+ 1 y)) |
(/.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* y (- x 1))) |
(fma.f64 y (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(+ 1 (* y (- (+ x (* y (- 1 x))) 1))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y) #s(literal 1 binary64)) |
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) |
(fma.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) #s(literal 1 binary64)) |
x |
(- (+ x (/ 1 y)) (/ x y)) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y)) |
(fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) x) |
(- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3)))))) |
(+.f64 (+.f64 x (/.f64 #s(literal 1 binary64) y)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 y y)) (+.f64 (/.f64 x y) (/.f64 x (*.f64 y (*.f64 y y))))))) |
x |
(+ x (* -1 (/ (- x 1) y))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y))) |
(fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) x) |
(+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) x)) y)) |
(- 1 (/ y (+ 1 y))) |
(+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
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(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* y (- x 1))) |
(fma.f64 y (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(+ 1 (* y (- (+ x (* y (- 1 x))) 1))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y) #s(literal 1 binary64)) |
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) |
(fma.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) #s(literal 1 binary64)) |
x |
(- (+ x (/ 1 y)) (/ x y)) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y)) |
(fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) x) |
(- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3)))))) |
(+.f64 (+.f64 x (/.f64 #s(literal 1 binary64) y)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 y y)) (+.f64 (/.f64 x y) (/.f64 x (*.f64 y (*.f64 y y))))))) |
x |
(+ x (* -1 (/ (- x 1) y))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y))) |
(fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) x) |
(+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) x)) y)) |
(* x y) |
(*.f64 y x) |
(* y (+ x (* -1 (* x y)))) |
(*.f64 y (fma.f64 y (neg.f64 x) x)) |
(* y (+ x (* y (- (* x y) x)))) |
(*.f64 y (fma.f64 y (-.f64 (*.f64 y x) x) x)) |
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))) |
(*.f64 y (fma.f64 y (*.f64 x (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) x)) |
x |
(+ x (* -1 (/ x y))) |
(-.f64 x (/.f64 x y)) |
(- (+ x (/ x (pow y 2))) (/ x y)) |
(-.f64 x (/.f64 (-.f64 x (/.f64 x y)) y)) |
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) |
(+.f64 x (fma.f64 (/.f64 x (*.f64 y y)) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (/.f64 (neg.f64 x) y))) |
x |
(+ x (* -1 (/ x y))) |
(-.f64 x (/.f64 x y)) |
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) |
(-.f64 x (/.f64 (-.f64 x (/.f64 x y)) y)) |
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y))) |
(+.f64 x (/.f64 (-.f64 (/.f64 (-.f64 x (/.f64 x y)) y) x) y)) |
(/ (* x y) (+ 1 y)) |
(/.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) y)) |
(/ (* x y) (+ 1 y)) |
(/.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) y)) |
(/ (* x y) (+ 1 y)) |
(/.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) y)) |
(/ (* x y) (+ 1 y)) |
(/.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) y)) |
(/ (* x y) (+ 1 y)) |
(/.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) y)) |
(/ (* x y) (+ 1 y)) |
(/.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) y)) |
(/ (* x y) (+ 1 y)) |
(/.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) y)) |
(/ (* x y) (+ 1 y)) |
(/.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) y)) |
(/ (* x y) (+ 1 y)) |
(/.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) y)) |
(/ (* x y) (+ 1 y)) |
(/.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) y)) |
(/ (* x y) (+ 1 y)) |
(/.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) y)) |
(/ (* x y) (+ 1 y)) |
(/.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) y)) |
y |
(* y (+ 1 (* -1 y))) |
(-.f64 y (*.f64 y y)) |
(* y (+ 1 (* y (- y 1)))) |
(fma.f64 y (-.f64 (*.f64 y y) y) y) |
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))) |
(fma.f64 y (*.f64 y (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) y) |
1 |
#s(literal 1 binary64) |
(- 1 (/ 1 y)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) |
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) |
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) |
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) |
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) |
1 |
#s(literal 1 binary64) |
(- 1 (/ 1 y)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) |
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y)) |
1 |
#s(literal 1 binary64) |
(+ 1 y) |
(+.f64 #s(literal 1 binary64) y) |
(+ 1 y) |
(+.f64 #s(literal 1 binary64) y) |
(+ 1 y) |
(+.f64 #s(literal 1 binary64) y) |
y |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
y |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
| 4 700× | lower-/.f32 |
| 4 696× | lower-/.f64 |
| 4 242× | lower-*.f32 |
| 4 238× | lower-*.f64 |
| 2 998× | lower-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 137 |
| 0 | 42 | 137 |
| 1 | 211 | 133 |
| 2 | 1915 | 133 |
| 0 | 8545 | 133 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(/.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) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+.f64 x #s(literal -1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) |
(fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) |
(-.f64 y (*.f64 y x)) |
(*.f64 y x) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
(/.f64 y (+.f64 #s(literal 1 binary64) y)) |
(+.f64 #s(literal 1 binary64) y) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) y))) |
(+.f64 (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (+.f64 y #s(literal 1 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (*.f64 y (-.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 #s(literal -1 binary64) y))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (+.f64 y #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (*.f64 y (-.f64 #s(literal 1 binary64) x)))) (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 #s(literal -1 binary64) y)))) (fma.f64 (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (+.f64 y #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (*.f64 y (-.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 #s(literal -1 binary64) y))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)))) |
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 y (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) y) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64)) |
(fma.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (*.f64 y (-.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 #s(literal -1 binary64) y))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))) (fma.f64 (*.f64 y (*.f64 y y)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 #s(literal -1 binary64) y)))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (*.f64 y (-.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 #s(literal -1 binary64) y))) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (+.f64 y #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y (*.f64 y y)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 #s(literal -1 binary64) y)))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (*.f64 y (-.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 #s(literal -1 binary64) y)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (*.f64 y (-.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 #s(literal -1 binary64) y))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))) (fma.f64 (*.f64 y (*.f64 y y)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 #s(literal -1 binary64) y)))) #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (*.f64 y (-.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 #s(literal -1 binary64) y))) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (+.f64 y #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y (*.f64 y y)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 #s(literal -1 binary64) y)))) #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (*.f64 y (-.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 #s(literal -1 binary64) y))))))) |
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (*.f64 y (-.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 #s(literal -1 binary64) y))) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (*.f64 y (-.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 #s(literal -1 binary64) y)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (*.f64 y (-.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 #s(literal -1 binary64) y))) #s(literal -1 binary64))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64)))) |
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(/.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 #s(literal -1 binary64) y)))) #s(literal 1 binary64))) (neg.f64 (fma.f64 (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (+.f64 y #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 y y))))) |
(/.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)) |
(/.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))) (neg.f64 (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (neg.f64 (+.f64 y #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) (neg.f64 (neg.f64 (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 y #s(literal -1 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 (neg.f64 (+.f64 y #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (neg.f64 (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) |
(/.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))) (neg.f64 (+.f64 y #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)) |
(/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (*.f64 y (*.f64 y y)))) (+.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 #s(literal 1 binary64) (neg.f64 y))))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (*.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.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 (neg.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (neg.f64 (+.f64 y #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))))) (neg.f64 (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (neg.f64 (+.f64 y #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) y)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (*.f64 y (*.f64 y y))))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 #s(literal 1 binary64) (neg.f64 y)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 y (*.f64 y y)) #s(literal -1 binary64))) (neg.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)))) |
(pow.f64 (/.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y)) |
(*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) |
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) |
Compiled 13 704 to 1 480 computations (89.2% saved)
17 alts after pruning (14 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 737 | 9 | 746 |
| Fresh | 1 | 5 | 6 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 740 | 17 | 757 |
| Status | Accuracy | Program |
|---|---|---|
| 43.5% | (fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) | |
| 43.4% | (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))) | |
| ▶ | 28.1% | (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x))) |
| 46.4% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)) | |
| ✓ | 54.3% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
| ▶ | 81.7% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) |
| ▶ | 39.9% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (/.f64 (*.f64 y x) (+.f64 y #s(literal 1 binary64)))) |
| 46.9% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)) y))) | |
| 46.5% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) | |
| ✓ | 50.4% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)) |
| 14.1% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))) x)) | |
| 42.7% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- y (* y x)) (+ y -1)) 1) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) | |
| 42.3% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* y (+ x -1)) 1) (-.f64 #s(literal 1 binary64) y))) | |
| 15.0% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* y (+ x -1)) 1) (*.f64 y x))) | |
| ▶ | 37.5% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (-.f64 x (/.f64 x y)))) |
| ✓ | 42.4% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
| ▶ | 37.3% | #s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) |
Compiled 323 to 183 computations (43.3% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 y #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | (/.f64 (*.f64 y x) (+.f64 y #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (/.f64 (*.f64 y x) (+.f64 y #s(literal 1 binary64)))) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (-.f64 x (/.f64 x y)) | |
| cost-diff | 0 | #s(approx (* (/ y (+ 1 y)) x) (-.f64 x (/.f64 x y))) | |
| cost-diff | 0 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (-.f64 x (/.f64 x y)))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 0 | #s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) | |
| cost-diff | 0 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) | |
| cost-diff | 512 | (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) | |
| cost-diff | 512 | (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
| 5 262× | lower-fma.f32 |
| 5 260× | lower-fma.f64 |
| 2 118× | lower-*.f32 |
| 2 114× | lower-*.f64 |
| 1 502× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 201 |
| 0 | 49 | 198 |
| 1 | 88 | 198 |
| 2 | 157 | 198 |
| 3 | 310 | 196 |
| 4 | 791 | 194 |
| 5 | 2409 | 193 |
| 6 | 3960 | 193 |
| 7 | 4884 | 193 |
| 8 | 5496 | 193 |
| 9 | 5738 | 193 |
| 10 | 5790 | 193 |
| 11 | 6653 | 193 |
| 12 | 7047 | 193 |
| 13 | 7361 | 193 |
| 14 | 7956 | 193 |
| 0 | 8096 | 187 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
x |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) |
#s(literal 1 binary64) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
(/.f64 y (+.f64 #s(literal 1 binary64) y)) |
y |
(+.f64 #s(literal 1 binary64) y) |
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) |
x |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x))) |
#s(literal 1 binary64) |
#s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
x |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (-.f64 x (/.f64 x y)))) |
#s(approx (* (/ y (+ 1 y)) x) (-.f64 x (/.f64 x y))) |
(-.f64 x (/.f64 x y)) |
x |
(/.f64 x y) |
y |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (/.f64 (*.f64 y x) (+.f64 y #s(literal 1 binary64)))) |
(/.f64 (*.f64 y x) (+.f64 y #s(literal 1 binary64))) |
(*.f64 y x) |
y |
x |
(+.f64 y #s(literal 1 binary64)) |
#s(literal 1 binary64) |
| Outputs |
|---|
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
x |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
(*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 y (fma.f64 x y x))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) |
#s(literal 1 binary64) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
(/.f64 y (+.f64 #s(literal 1 binary64) y)) |
y |
(+.f64 #s(literal 1 binary64) y) |
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) x) |
x |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x))) |
#s(literal 1 binary64) |
#s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
x |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (-.f64 x (/.f64 x y)))) |
#s(approx (* (/ y (+ 1 y)) x) (-.f64 x (/.f64 x y))) |
(-.f64 x (/.f64 x y)) |
x |
(/.f64 x y) |
y |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (/.f64 (*.f64 y x) (+.f64 y #s(literal 1 binary64)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) y)))) |
(/.f64 (*.f64 y x) (+.f64 y #s(literal 1 binary64))) |
(*.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
(*.f64 y x) |
(*.f64 x y) |
y |
x |
(+.f64 y #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 y #s(literal 1 binary64)) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 6.755601702975739 | (/.f64 (*.f64 y x) (+.f64 y #s(literal 1 binary64))) | |
| accuracy | 31.73702730416126 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (/.f64 (*.f64 y x) (+.f64 y #s(literal 1 binary64)))) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0.015625 | (-.f64 x (/.f64 x y)) | |
| accuracy | 31.73702730416126 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (-.f64 x (/.f64 x y)))) | |
| accuracy | 34.15708869366943 | #s(approx (* (/ y (+ 1 y)) x) (-.f64 x (/.f64 x y))) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) x) | |
| accuracy | 11.657369850315346 | (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x))) | |
| accuracy | 34.17990739960814 | #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x)) | |
| accuracy | 40.156566693902505 | #s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) | |
| accuracy | 0.00390625 | (/.f64 y (+.f64 #s(literal 1 binary64) y)) | |
| accuracy | 0.00390625 | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) | |
| accuracy | 0.09375 | (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) | |
| accuracy | 11.706198023565008 | (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
| 70.0ms | 207× | 0 | valid |
| 29.0ms | 41× | 1 | valid |
| 4.0ms | 8× | 2 | valid |
Compiled 151 to 27 computations (82.1% saved)
ival-div: 34.0ms (46.8% of total)ival-add: 19.0ms (26.2% of total)ival-mult: 10.0ms (13.8% of total)ival-sub: 6.0ms (8.3% of total)adjust: 3.0ms (4.1% 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 (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (patch (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) (patch (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) (patch #s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x))) (patch (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (-.f64 x (/.f64 x y)))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (-.f64 x (/.f64 x y)))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ y (+ 1 y)) x) (-.f64 x (/.f64 x y))) (patch #s(approx (* (/ y (+ 1 y)) x) (-.f64 x (/.f64 x y))) #<representation binary64>) () ()) |
#s(alt (-.f64 x (/.f64 x y)) (patch (-.f64 x (/.f64 x y)) #<representation binary64>) () ()) |
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (/.f64 (*.f64 y x) (+.f64 y #s(literal 1 binary64)))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (/.f64 (*.f64 y x) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 y x) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 y x) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ()) |
#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 y (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 y (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ 1 (* -1 (/ y (+ 1 y)))) (taylor 0 x) (#s(alt (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (patch (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))) (taylor 0 x) (#s(alt (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (patch (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))) (taylor 0 x) (#s(alt (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (patch (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))) (taylor 0 x) (#s(alt (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (patch (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor inf x) (#s(alt (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (patch (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y))))) (taylor inf x) (#s(alt (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (patch (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y))))) (taylor inf x) (#s(alt (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (patch (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y))))) (taylor inf x) (#s(alt (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (patch (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (patch (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x))))) (taylor -inf x) (#s(alt (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (patch (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x))))) (taylor -inf x) (#s(alt (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (patch (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x))))) (taylor -inf x) (#s(alt (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (patch (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (patch (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (* y (- 1 (/ 1 x))))) (taylor 0 y) (#s(alt (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (patch (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* y (+ (* -1 (* x (* y (- 1 (/ 1 x))))) (* x (- 1 (/ 1 x)))))) (taylor 0 y) (#s(alt (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (patch (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* y (+ (* x (- 1 (/ 1 x))) (* y (- (* x (* y (- 1 (/ 1 x)))) (* x (- 1 (/ 1 x)))))))) (taylor 0 y) (#s(alt (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (patch (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (- 1 (/ 1 x)))) (taylor inf y) (#s(alt (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (patch (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1 (/ (* x (- 1 (/ 1 x))) y)) (* x (- 1 (/ 1 x))))) (taylor inf y) (#s(alt (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (patch (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (+ (* x (- 1 (/ 1 x))) (/ (* x (- 1 (/ 1 x))) (pow y 2)))) (/ (* x (- 1 (/ 1 x))) y)) (taylor inf y) (#s(alt (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (patch (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (+ (* -1 (/ (* x (- 1 (/ 1 x))) (pow y 3))) (* x (- 1 (/ 1 x))))) (+ (* -1 (/ (* x (- 1 (/ 1 x))) (pow y 2))) (/ (* x (- 1 (/ 1 x))) y))) (taylor inf y) (#s(alt (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (patch (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (- 1 (/ 1 x)))) (taylor -inf y) (#s(alt (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (patch (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1 (/ (* x (- 1 (/ 1 x))) y)) (* x (- 1 (/ 1 x))))) (taylor -inf y) (#s(alt (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (patch (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1 (/ (+ (* -1 (/ (* x (- 1 (/ 1 x))) y)) (* x (- 1 (/ 1 x)))) y)) (* x (- 1 (/ 1 x))))) (taylor -inf y) (#s(alt (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (patch (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x (- 1 (/ 1 x))) y)) (* x (- 1 (/ 1 x)))) y)) (* x (- 1 (/ 1 x)))) y)) (* x (- 1 (/ 1 x))))) (taylor -inf y) (#s(alt (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (patch (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ y (* x (+ 1 y)))) (taylor 0 x) (#s(alt (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) (patch (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y))) x) (taylor 0 x) (#s(alt (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) (patch (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y))) x) (taylor 0 x) (#s(alt (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) (patch (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y))) x) (taylor 0 x) (#s(alt (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) (patch (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ y (+ 1 y)) (taylor inf x) (#s(alt (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) (patch (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))) (taylor inf x) (#s(alt (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) (patch (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))) (taylor inf x) (#s(alt (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) (patch (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))) (taylor inf x) (#s(alt (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) (patch (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ y (+ 1 y)) (taylor -inf x) (#s(alt (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) (patch (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))) (taylor -inf x) (#s(alt (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) (patch (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))) (taylor -inf x) (#s(alt (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) (patch (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))) (taylor -inf x) (#s(alt (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) (patch (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- 1 (/ 1 x))) (taylor 0 y) (#s(alt (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) (patch (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ 1 (* y (- (/ 1 x) 1))) (/ 1 x))) (taylor 0 y) (#s(alt (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) (patch (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ 1 (* y (- (+ (* y (- 1 (/ 1 x))) (/ 1 x)) 1))) (/ 1 x))) (taylor 0 y) (#s(alt (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) (patch (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ 1 (* y (- (+ (* y (- (+ 1 (* y (- (/ 1 x) 1))) (/ 1 x))) (/ 1 x)) 1))) (/ 1 x))) (taylor 0 y) (#s(alt (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) (patch (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (/ 1 x)) (taylor inf y) (#s(alt (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) (patch (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (/ 1 (* x y))) (+ (/ 1 x) (/ 1 y))) (taylor inf y) (#s(alt (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) (patch (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
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#s(alt (- 1 (/ 1 y)) (taylor -inf y) (#s(alt (/.f64 y (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 y (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) (taylor -inf y) (#s(alt (/.f64 y (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 y (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y))) (taylor -inf y) (#s(alt (/.f64 y (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 y (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
90 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | -inf | (* (+ 1 (/ -1 x)) (/ y (+ 1 y))) |
| 0.0ms | x | @ | 0 | (+ (* x (* (+ 1 (/ -1 x)) (/ y (+ 1 y)))) 1) |
| 0.0ms | x | @ | inf | (+ (* x (* (+ 1 (/ -1 x)) (/ y (+ 1 y)))) 1) |
| 0.0ms | x | @ | 0 | (- x (/ x y)) |
| 0.0ms | y | @ | 0 | (+ (* x (* (+ 1 (/ -1 x)) (/ y (+ 1 y)))) 1) |
| 1× | egg-herbie |
| 17 640× | lower-fma.f64 |
| 17 640× | lower-fma.f32 |
| 4 882× | lower-+.f64 |
| 4 882× | lower-+.f32 |
| 3 082× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 306 | 4178 |
| 1 | 970 | 3768 |
| 2 | 2918 | 2889 |
| 0 | 8787 | 2771 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 1 (* -1 (/ y (+ 1 y)))) |
(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))) |
(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))) |
(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))) |
(/ (* x y) (+ 1 y)) |
(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y))))) |
(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y))))) |
(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y))))) |
(/ (* x y) (+ 1 y)) |
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x))))) |
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x))))) |
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x))))) |
1 |
(+ 1 (* x (* y (- 1 (/ 1 x))))) |
(+ 1 (* y (+ (* -1 (* x (* y (- 1 (/ 1 x))))) (* x (- 1 (/ 1 x)))))) |
(+ 1 (* y (+ (* x (- 1 (/ 1 x))) (* y (- (* x (* y (- 1 (/ 1 x)))) (* x (- 1 (/ 1 x)))))))) |
(+ 1 (* x (- 1 (/ 1 x)))) |
(+ 1 (+ (* -1 (/ (* x (- 1 (/ 1 x))) y)) (* x (- 1 (/ 1 x))))) |
(- (+ 1 (+ (* x (- 1 (/ 1 x))) (/ (* x (- 1 (/ 1 x))) (pow y 2)))) (/ (* x (- 1 (/ 1 x))) y)) |
(- (+ 1 (+ (* -1 (/ (* x (- 1 (/ 1 x))) (pow y 3))) (* x (- 1 (/ 1 x))))) (+ (* -1 (/ (* x (- 1 (/ 1 x))) (pow y 2))) (/ (* x (- 1 (/ 1 x))) y))) |
(+ 1 (* x (- 1 (/ 1 x)))) |
(+ 1 (+ (* -1 (/ (* x (- 1 (/ 1 x))) y)) (* x (- 1 (/ 1 x))))) |
(+ 1 (+ (* -1 (/ (+ (* -1 (/ (* x (- 1 (/ 1 x))) y)) (* x (- 1 (/ 1 x)))) y)) (* x (- 1 (/ 1 x))))) |
(+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x (- 1 (/ 1 x))) y)) (* x (- 1 (/ 1 x)))) y)) (* x (- 1 (/ 1 x)))) y)) (* x (- 1 (/ 1 x))))) |
(* -1 (/ y (* x (+ 1 y)))) |
(/ (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y))) x) |
(/ (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y))) x) |
(/ (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y))) x) |
(/ y (+ 1 y)) |
(+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))) |
(+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))) |
(+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))) |
(/ y (+ 1 y)) |
(+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))) |
(+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))) |
(+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))) |
(* y (- 1 (/ 1 x))) |
(* y (- (+ 1 (* y (- (/ 1 x) 1))) (/ 1 x))) |
(* y (- (+ 1 (* y (- (+ (* y (- 1 (/ 1 x))) (/ 1 x)) 1))) (/ 1 x))) |
(* y (- (+ 1 (* y (- (+ (* y (- (+ 1 (* y (- (/ 1 x) 1))) (/ 1 x))) (/ 1 x)) 1))) (/ 1 x))) |
(- 1 (/ 1 x)) |
(- (+ 1 (/ 1 (* x y))) (+ (/ 1 x) (/ 1 y))) |
(- (+ 1 (+ (/ 1 (* x y)) (/ 1 (pow y 2)))) (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* x (pow y 2)))))) |
(- (+ 1 (+ (/ 1 (* x y)) (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))))) (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* x (pow y 2))) (/ 1 (pow y 3)))))) |
(- 1 (/ 1 x)) |
(- (+ 1 (/ 1 (* x y))) (+ (/ 1 x) (/ 1 y))) |
(- (+ 1 (* -1 (/ (- (+ (* -1 (- (/ 1 x) 1)) (/ 1 (* x y))) (/ 1 y)) y))) (/ 1 x)) |
(- (+ 1 (* -1 (/ (+ (* -1 (- (/ 1 x) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 x) 1)) (/ 1 (* x y))) (/ 1 y)) y))) y))) (/ 1 x)) |
(- 1 (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(/ (* x y) (+ 1 y)) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(/ (* x y) (+ 1 y)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
1 |
(+ 1 (* y (- x 1))) |
(+ 1 (* y (- (+ x (* y (- 1 x))) 1))) |
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) |
x |
(- (+ x (/ 1 y)) (/ x y)) |
(- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y)) |
(- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3)))))) |
x |
(+ x (* -1 (/ (- x 1) y))) |
(+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y))) |
(+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y))) |
(/ -1 x) |
(/ (- x 1) x) |
(/ (- x 1) x) |
(/ (- x 1) x) |
1 |
(- 1 (/ 1 x)) |
(- 1 (/ 1 x)) |
(- 1 (/ 1 x)) |
1 |
(- 1 (/ 1 x)) |
(- 1 (/ 1 x)) |
(- 1 (/ 1 x)) |
1 |
(+ 1 (* -1 (* y (- 1 x)))) |
(+ 1 (* y (+ (* -1 (* y (- x 1))) (* -1 (- 1 x))))) |
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (+ (* -1 (* y (- 1 x))) (* -1 (- x 1))))))) |
(+ 1 (* -1 (- 1 x))) |
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (- x 1) y)))) |
(+ 1 (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (* -1 (/ (- x 1) y))))) |
(+ 1 (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (+ (* -1 (/ (- x 1) y)) (* -1 (/ (- x 1) (pow y 3))))))) |
(+ 1 (* -1 (- 1 x))) |
(- (+ 1 (+ (* -1 (- 1 x)) (/ 1 y))) (/ x y)) |
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y)))) |
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y))) y)))) |
(+ 1 (* -1 (/ y (+ 1 y)))) |
(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))) |
(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))) |
(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))) |
(/ (* x y) (+ 1 y)) |
(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y))))) |
(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y))))) |
(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y))))) |
(/ (* x y) (+ 1 y)) |
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x))))) |
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x))))) |
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x))))) |
(- 1 (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(/ (* x y) (+ 1 y)) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(/ (* x y) (+ 1 y)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
1 |
(+ 1 (* y (- x 1))) |
(+ 1 (* y (- (+ x (* y (- 1 x))) 1))) |
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) |
x |
(- (+ x (/ 1 y)) (/ x y)) |
(- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y)) |
(- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3)))))) |
x |
(+ x (* -1 (/ (- x 1) y))) |
(+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y))) |
(+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y))) |
(/ y (+ 1 y)) |
(+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(* -1 (/ (* x y) (+ 1 y))) |
(* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))) |
(* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))) |
(* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))) |
(* -1 (/ (* x y) (+ 1 y))) |
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))))) |
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))))) |
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))))) |
(* y (- 1 x)) |
(* y (- (+ 1 (* y (- x 1))) x)) |
(* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)) |
(* y (- (+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) x)) |
(- 1 x) |
(- (+ 1 (/ x y)) (+ x (/ 1 y))) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ x (+ (/ 1 y) (/ x (pow y 2))))) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ x (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))) |
(- 1 x) |
(- (+ 1 (/ x y)) (+ x (/ 1 y))) |
(- (+ 1 (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) x) |
(- (+ 1 (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) 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 (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(/ (* x y) (+ 1 y)) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(/ (* x y) (+ 1 y)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
1 |
(+ 1 (* y (- x 1))) |
(+ 1 (* y (- (+ x (* y (- 1 x))) 1))) |
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) |
x |
(- (+ x (/ 1 y)) (/ x y)) |
(- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y)) |
(- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3)))))) |
x |
(+ x (* -1 (/ (- x 1) y))) |
(+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y))) |
(+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y))) |
(* x y) |
(* y (+ x (* -1 (* x y)))) |
(* y (+ x (* y (- (* x y) x)))) |
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))) |
x |
(+ x (* -1 (/ x y))) |
(- (+ x (/ x (pow y 2))) (/ x y)) |
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) |
x |
(+ x (* -1 (/ x y))) |
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) |
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y))) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(* x (- 1 (/ 1 y))) |
(* x (- 1 (/ 1 y))) |
(* x (- 1 (/ 1 y))) |
(* x (- 1 (/ 1 y))) |
(* x (- 1 (/ 1 y))) |
(* x (- 1 (/ 1 y))) |
(* x (- 1 (/ 1 y))) |
(* x (- 1 (/ 1 y))) |
(* -1 (* x (- (/ 1 y) 1))) |
(* -1 (* x (- (/ 1 y) 1))) |
(* -1 (* x (- (/ 1 y) 1))) |
(* -1 (* x (- (/ 1 y) 1))) |
(* -1 (/ x y)) |
(/ (- (* x y) x) y) |
(/ (- (* x y) x) y) |
(/ (- (* x y) x) y) |
x |
(+ x (* -1 (/ x y))) |
(+ x (* -1 (/ x y))) |
(+ x (* -1 (/ x y))) |
x |
(+ x (* -1 (/ x y))) |
(+ x (* -1 (/ x y))) |
(+ x (* -1 (/ 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) |
(/ x y) |
(- 1 (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(/ (* x y) (+ 1 y)) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(/ (* x y) (+ 1 y)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
1 |
(+ 1 (* y (- x 1))) |
(+ 1 (* y (- (+ x (* y (- 1 x))) 1))) |
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) |
x |
(- (+ x (/ 1 y)) (/ x y)) |
(- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y)) |
(- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3)))))) |
x |
(+ x (* -1 (/ (- x 1) y))) |
(+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y))) |
(+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y))) |
(* x y) |
(* y (+ x (* -1 (* x y)))) |
(* y (+ x (* y (- (* x y) x)))) |
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))) |
x |
(+ x (* -1 (/ x y))) |
(- (+ x (/ x (pow y 2))) (/ x y)) |
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) |
x |
(+ x (* -1 (/ x y))) |
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) |
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y))) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 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 |
(+ 1 y) |
(+ 1 y) |
(+ 1 y) |
y |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
y |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
y |
(* y (+ 1 (* -1 y))) |
(* y (+ 1 (* y (- y 1)))) |
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))) |
1 |
(- 1 (/ 1 y)) |
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) |
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) |
1 |
(- 1 (/ 1 y)) |
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y))) |
| Outputs |
|---|
(+ 1 (* -1 (/ y (+ 1 y)))) |
(-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(/ (* x y) (+ 1 y)) |
(/.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) y)) |
(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y))))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y))))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y))))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(/ (* x y) (+ 1 y)) |
(/.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x))))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x))))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x))))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* x (* y (- 1 (/ 1 x))))) |
(fma.f64 y (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(+ 1 (* y (+ (* -1 (* x (* y (- 1 (/ 1 x))))) (* x (- 1 (/ 1 x)))))) |
(fma.f64 (-.f64 y (*.f64 y x)) (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) |
(+ 1 (* y (+ (* x (- 1 (/ 1 x))) (* y (- (* x (* y (- 1 (/ 1 x)))) (* x (- 1 (/ 1 x)))))))) |
(fma.f64 y (+.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y (*.f64 y y)) x)) #s(literal 1 binary64)) |
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(/.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) y)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
1 |
#s(literal 1 binary64) |
(+ 1 y) |
(+.f64 #s(literal 1 binary64) y) |
(+ 1 y) |
(+.f64 #s(literal 1 binary64) y) |
(+ 1 y) |
(+.f64 #s(literal 1 binary64) y) |
y |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
y |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
y |
(* y (+ 1 (* -1 y))) |
(-.f64 y (*.f64 y y)) |
(* y (+ 1 (* y (- y 1)))) |
(fma.f64 (*.f64 y y) (+.f64 #s(literal -1 binary64) y) y) |
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))) |
(fma.f64 (*.f64 y y) (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y) |
1 |
#s(literal 1 binary64) |
(- 1 (/ 1 y)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) |
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))) |
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))))) |
1 |
#s(literal 1 binary64) |
(- 1 (/ 1 y)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) |
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y)) |
| 5 208× | lower-*.f32 |
| 5 204× | lower-*.f64 |
| 4 954× | lower-/.f32 |
| 4 946× | lower-/.f64 |
| 3 238× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 183 |
| 0 | 49 | 183 |
| 1 | 226 | 183 |
| 2 | 1905 | 183 |
| 0 | 8892 | 177 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) |
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (-.f64 x (/.f64 x y)))) |
#s(approx (* (/ y (+ 1 y)) x) (-.f64 x (/.f64 x y))) |
(-.f64 x (/.f64 x y)) |
(/.f64 x y) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (/.f64 (*.f64 y x) (+.f64 y #s(literal 1 binary64)))) |
(/.f64 (*.f64 y x) (+.f64 y #s(literal 1 binary64))) |
(*.f64 y x) |
(+.f64 y #s(literal 1 binary64)) |
(/.f64 y (+.f64 #s(literal 1 binary64) y)) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) y) (+.f64 #s(literal 1 binary64) y))) |
(+.f64 (/.f64 (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) y) (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) |
(-.f64 (/.f64 (*.f64 (/.f64 (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) y) (+.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) y) (+.f64 #s(literal 1 binary64) y))) (fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) #s(literal -1 binary64)))) |
(fma.f64 x (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) y) (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) y) (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) y) (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) y) (+.f64 #s(literal 1 binary64) y)) x #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) y) (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) y) (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) y) (+.f64 #s(literal 1 binary64) y))) (fma.f64 (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) (fma.f64 x (/.f64 #s(literal -1 binary64) x) x))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) #s(literal -1 binary64)) (fma.f64 (/.f64 (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) y) (+.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) y) (+.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) y) (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) y) (+.f64 #s(literal 1 binary64) y))) (fma.f64 (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) (fma.f64 x (/.f64 #s(literal -1 binary64) x) x))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) #s(literal -1 binary64)) (fma.f64 (/.f64 (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) y) (+.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) y) (+.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) (fma.f64 x (/.f64 #s(literal -1 binary64) x) x))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64)) (-.f64 (fma.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) y) (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) y) (+.f64 #s(literal 1 binary64) y)))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) (fma.f64 x (/.f64 #s(literal -1 binary64) x) x))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) y) (+.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) y) (+.f64 #s(literal 1 binary64) y))) (/.f64 (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) y) (+.f64 #s(literal 1 binary64) y))))) |
(/.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) y) (+.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) y) (+.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) (fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) (fma.f64 x (/.f64 #s(literal -1 binary64) x) x))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) y) (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) y) (+.f64 #s(literal 1 binary64) y))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) (fma.f64 x (/.f64 #s(literal -1 binary64) x) x))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) y) (+.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) y) (+.f64 #s(literal 1 binary64) y))) (/.f64 (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) y) (+.f64 #s(literal 1 binary64) y)))))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) y) (+.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) y) (+.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) y) (+.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) y) (+.f64 #s(literal 1 binary64) y)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) y) (+.f64 #s(literal 1 binary64) y)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) y) (+.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) y) (+.f64 #s(literal 1 binary64) y))) (fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) #s(literal -1 binary64))) (*.f64 (fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) #s(literal -1 binary64)) (fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) y) (+.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) y) (+.f64 #s(literal 1 binary64) y))))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) y) (+.f64 #s(literal 1 binary64) y))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) (fma.f64 x (/.f64 #s(literal -1 binary64) x) x))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) y) (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) y) (+.f64 #s(literal 1 binary64) y)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) y) (+.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) y) (+.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) #s(literal -1 binary64))))) |
(pow.f64 (/.f64 (-.f64 (fma.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) y) (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) y) (+.f64 #s(literal 1 binary64) y))) (fma.f64 (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) (fma.f64 x (/.f64 #s(literal -1 binary64) x) x))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) #s(literal -1 binary64)) (fma.f64 (/.f64 (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) y) (+.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) y) (+.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) (fma.f64 x (/.f64 #s(literal -1 binary64) x) x))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) y) (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) y) (+.f64 #s(literal 1 binary64) y))))) |
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(-.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 x y))) (/.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (+.f64 x (/.f64 x y)))) |
(fma.f64 x #s(literal 1 binary64) (/.f64 x (neg.f64 y))) |
(fma.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) y)) x) |
(fma.f64 #s(literal 1 binary64) x (/.f64 x (neg.f64 y))) |
(fma.f64 #s(literal -1 binary64) (/.f64 x y) x) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 x y) (+.f64 x (/.f64 x y)) (*.f64 x x)) (fma.f64 x (*.f64 x x) (/.f64 (*.f64 x (*.f64 x x)) (neg.f64 (*.f64 y (*.f64 y y))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 x y)) (-.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 y y))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 x y) (+.f64 x (/.f64 x y)) (*.f64 x x)) (fma.f64 x (*.f64 x x) (/.f64 (*.f64 x (*.f64 x x)) (neg.f64 (*.f64 y (*.f64 y y)))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x (/.f64 x y)) (-.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 y y)))))) |
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 x (*.f64 x x)) (neg.f64 (*.f64 y (*.f64 y y))))) (fma.f64 (/.f64 x y) (+.f64 x (/.f64 x y)) (*.f64 x x))) |
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 x (*.f64 x x)) (neg.f64 (*.f64 y (*.f64 y y))))) (fma.f64 x x (-.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x (/.f64 x (neg.f64 y)))))) |
(/.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 y y))) (+.f64 x (/.f64 x y))) |
(/.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x (/.f64 x (neg.f64 y)))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 x (*.f64 x x)) (neg.f64 (*.f64 y (*.f64 y y)))))) (neg.f64 (fma.f64 (/.f64 x y) (+.f64 x (/.f64 x y)) (*.f64 x x)))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 x (*.f64 x x)) (neg.f64 (*.f64 y (*.f64 y y)))))) (neg.f64 (fma.f64 x x (-.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x (/.f64 x (neg.f64 y))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 y y)))) (neg.f64 (+.f64 x (/.f64 x y)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 y y)))) (neg.f64 (-.f64 x (/.f64 x (neg.f64 y))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (/.f64 x y) (+.f64 x (/.f64 x y)) (*.f64 x x))) (*.f64 (fma.f64 (/.f64 x y) (+.f64 x (/.f64 x y)) (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (*.f64 (fma.f64 (/.f64 x y) (+.f64 x (/.f64 x y)) (*.f64 x x)) (fma.f64 (/.f64 x y) (+.f64 x (/.f64 x y)) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x (/.f64 x y))) (*.f64 (+.f64 x (/.f64 x y)) (/.f64 (*.f64 x x) (*.f64 y y)))) (*.f64 (+.f64 x (/.f64 x y)) (+.f64 x (/.f64 x y)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 x (*.f64 x x)) (neg.f64 (*.f64 y (*.f64 y y))))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 x y) (+.f64 x (/.f64 x y)) (*.f64 x x))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 y y))))) (neg.f64 (neg.f64 (+.f64 x (/.f64 x y))))) |
(pow.f64 (/.f64 (fma.f64 (/.f64 x y) (+.f64 x (/.f64 x y)) (*.f64 x x)) (fma.f64 x (*.f64 x x) (/.f64 (*.f64 x (*.f64 x x)) (neg.f64 (*.f64 y (*.f64 y y)))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 x (/.f64 x y)) (-.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 y y)))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 x (*.f64 x x)) (neg.f64 (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (+.f64 x (/.f64 x y)) (*.f64 x x)))) |
(*.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 x y)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64))) |
(neg.f64 (/.f64 x (neg.f64 y))) |
(/.f64 x y) |
(/.f64 #s(literal 1 binary64) (/.f64 y x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 y x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 x) (neg.f64 y)) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 y)))) |
(pow.f64 (/.f64 y x) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 x (/.f64 #s(literal 1 binary64) y)) |
(*.f64 #s(literal 1 binary64) (/.f64 x y)) |
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) x) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 x y))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (*.f64 x y) (-.f64 #s(literal -1 binary64) y))) |
(neg.f64 (/.f64 (*.f64 x (neg.f64 y)) (+.f64 #s(literal 1 binary64) y))) |
(/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) y) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 x y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 x y)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 x y))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 x y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 x y)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y)) |
(/.f64 (neg.f64 x) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y))) |
(/.f64 (*.f64 x (neg.f64 y)) (-.f64 #s(literal -1 binary64) y)) |
(/.f64 (neg.f64 (*.f64 x (neg.f64 y))) (neg.f64 (-.f64 #s(literal -1 binary64) y))) |
(/.f64 (*.f64 (*.f64 x y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 x (neg.f64 y)))) (neg.f64 (neg.f64 (-.f64 #s(literal -1 binary64) y)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x y) #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) y)) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 x y)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y))) |
(*.f64 y (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) x)) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
(*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))) |
(*.f64 (*.f64 x (neg.f64 y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (*.f64 x y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal -1 binary64))) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) |
(*.f64 (/.f64 (*.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 (*.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (fma.f64 y (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) y)) |
(*.f64 x y) |
(*.f64 y x) |
(+.f64 #s(literal 1 binary64) y) |
(+.f64 y #s(literal 1 binary64)) |
(-.f64 (/.f64 (*.f64 y y) (+.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) y))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y))) |
(fma.f64 #s(literal 1 binary64) y #s(literal 1 binary64)) |
(fma.f64 y #s(literal 1 binary64) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) y) (fma.f64 y y #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 y (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) y) (fma.f64 y y #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 y y))))) |
(/.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (fma.f64 y (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) |
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) y)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (neg.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) |
(/.f64 (neg.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (neg.f64 (fma.f64 y (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal -1 binary64) y))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal -1 binary64) y)) (*.f64 (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) y) (+.f64 #s(literal -1 binary64) y))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.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 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) y)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 y (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) y)))) |
(pow.f64 (/.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 y (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 #s(literal -1 binary64) y) (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) |
(*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y)) #s(literal -1 binary64))) |
(neg.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(neg.f64 (/.f64 (neg.f64 y) (+.f64 #s(literal 1 binary64) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) #s(literal 1 binary64)))) |
(/.f64 y (+.f64 #s(literal 1 binary64) y)) |
(/.f64 (neg.f64 y) (-.f64 #s(literal -1 binary64) y)) |
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (-.f64 #s(literal -1 binary64) y))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (-.f64 #s(literal -1 binary64) y)))) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
(*.f64 y (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))) |
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) y) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) |
(*.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (fma.f64 y (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) |
(*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) y)) |
Compiled 11 263 to 1 113 computations (90.1% saved)
17 alts after pruning (11 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 671 | 4 | 675 |
| Fresh | 2 | 7 | 9 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 675 | 17 | 692 |
| Status | Accuracy | Program |
|---|---|---|
| 43.5% | (fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) | |
| ▶ | 43.4% | (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))) |
| 3.1% | (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (- 1 x) #s(literal 1 binary64)))) | |
| 46.4% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)) | |
| ✓ | 54.3% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
| 43.5% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 x #s(approx (* (+ 1 (/ -1 x)) (/ y (+ 1 y))) (neg.f64 (/.f64 y (fma.f64 y x x)))) #s(literal 1 binary64))) | |
| ✓ | 39.9% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (/.f64 (*.f64 y x) (+.f64 y #s(literal 1 binary64)))) |
| ▶ | 46.9% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) y))) |
| 46.5% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) | |
| ✓ | 50.4% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)) |
| ▶ | 14.1% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))) x)) |
| ▶ | 15.0% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (/ (* y x) (+ y 1)) (*.f64 y x))) |
| 42.7% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- y (* y x)) (+ y -1)) 1) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) | |
| ▶ | 42.3% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* y (+ x -1)) 1) (-.f64 #s(literal 1 binary64) y))) |
| ✓ | 37.5% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (-.f64 x (/.f64 x y)))) |
| ✓ | 42.4% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
| ✓ | 37.3% | #s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) |
Compiled 292 to 163 computations (44.2% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | (/.f64 y (+.f64 #s(literal 1 binary64) y)) | |
| cost-diff | 0 | #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))) | |
| cost-diff | 0 | (-.f64 y (*.f64 y y)) | |
| cost-diff | 0 | #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))) | |
| cost-diff | 0 | (*.f64 #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))) x) | |
| cost-diff | 0 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))) x)) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | #s(approx (/ (* y x) (+ y 1)) (*.f64 y x)) | |
| cost-diff | 0 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (/ (* y x) (+ y 1)) (*.f64 y x))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | #s(approx (+ (* y (+ x -1)) 1) (-.f64 #s(literal 1 binary64) y)) | |
| cost-diff | 0 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* y (+ x -1)) 1) (-.f64 #s(literal 1 binary64) y))) | |
| cost-diff | 0 | (/.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) y) | |
| cost-diff | 0 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) y))) | |
| cost-diff | 64 | (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 128 | (+.f64 x (/.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) y)) |
| 10 884× | lower-fma.f32 |
| 10 882× | lower-fma.f64 |
| 2 294× | lower-*.f32 |
| 2 288× | lower-*.f64 |
| 2 128× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 280 |
| 0 | 57 | 280 |
| 1 | 97 | 280 |
| 2 | 169 | 280 |
| 3 | 356 | 280 |
| 4 | 882 | 276 |
| 5 | 2783 | 276 |
| 6 | 5709 | 276 |
| 7 | 7643 | 276 |
| 0 | 8041 | 268 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) y))) |
(+.f64 x (/.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) y)) |
x |
(/.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) y) |
(fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (+.f64 #s(literal -1 binary64) x) y) |
(+.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
y |
(-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) y) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* y (+ x -1)) 1) (-.f64 #s(literal 1 binary64) y))) |
#s(approx (+ (* y (+ x -1)) 1) (-.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (/ (* y x) (+ y 1)) (*.f64 y x))) |
#s(approx (/ (* y x) (+ y 1)) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))) x)) |
(*.f64 #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))) x) |
#s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))) |
(-.f64 y (*.f64 y y)) |
y |
(*.f64 y y) |
x |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))) |
#s(literal 1 binary64) |
#s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
(/.f64 y (+.f64 #s(literal 1 binary64) y)) |
y |
(+.f64 #s(literal 1 binary64) y) |
| Outputs |
|---|
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) x)) |
(+.f64 x (/.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) y)) |
(fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) x) |
x |
(/.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) y) |
(*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y)) |
(fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y))) |
(/.f64 (+.f64 #s(literal -1 binary64) x) y) |
(/.f64 (+.f64 x #s(literal -1 binary64)) y) |
(+.f64 #s(literal -1 binary64) x) |
(+.f64 x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
y |
(-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 #s(literal -1 binary64) y) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* y (+ x -1)) 1) (-.f64 #s(literal 1 binary64) y))) |
#s(approx (+ (* y (+ x -1)) 1) (-.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (/ (* y x) (+ y 1)) (*.f64 y x))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (/ (* y x) (+ y 1)) (*.f64 x y))) |
#s(approx (/ (* y x) (+ y 1)) (*.f64 y x)) |
#s(approx (/ (* y x) (+ y 1)) (*.f64 x y)) |
(*.f64 y x) |
(*.f64 x y) |
y |
x |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))) x)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 x #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))))) |
(*.f64 #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))) x) |
(*.f64 x #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y)))) |
#s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))) |
(-.f64 y (*.f64 y y)) |
y |
(*.f64 y y) |
x |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))) |
#s(literal 1 binary64) |
#s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
(/.f64 y (+.f64 #s(literal 1 binary64) y)) |
y |
(+.f64 #s(literal 1 binary64) y) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.00390625 | (/.f64 y (+.f64 #s(literal 1 binary64) y)) | |
| accuracy | 11.657369850315346 | (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))) | |
| accuracy | 30.62956414404707 | #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) | |
| accuracy | 0.01171875 | (-.f64 y (*.f64 y y)) | |
| accuracy | 0.01953125 | (*.f64 #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))) x) | |
| accuracy | 29.69424771136408 | #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))) | |
| accuracy | 31.73702730416126 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))) x)) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 29.321891478515575 | #s(approx (/ (* y x) (+ y 1)) (*.f64 y x)) | |
| accuracy | 31.73702730416126 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (/ (* y x) (+ y 1)) (*.f64 y x))) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) y) | |
| accuracy | 24.22861036212312 | #s(approx (+ (* y (+ x -1)) 1) (-.f64 #s(literal 1 binary64) y)) | |
| accuracy | 29.227316762203007 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* y (+ x -1)) 1) (-.f64 #s(literal 1 binary64) y))) | |
| accuracy | 0.0078125 | (/.f64 (+.f64 #s(literal -1 binary64) x) y) | |
| accuracy | 0.046875 | (/.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) y) | |
| accuracy | 0.10775375976844202 | (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) | |
| accuracy | 33.96829210566439 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) y))) |
| 47.0ms | 207× | 0 | valid |
| 16.0ms | 41× | 1 | valid |
| 4.0ms | 8× | 2 | valid |
Compiled 196 to 30 computations (84.7% saved)
ival-mult: 12.0ms (28.9% of total)ival-div: 10.0ms (24.1% of total)ival-add: 8.0ms (19.2% of total)ival-sub: 7.0ms (16.8% of total)adjust: 4.0ms (9.6% 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 (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) y)) (patch (+.f64 x (/.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) y)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) y))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) y))) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) y) (patch (/.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) y) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* y (+ x -1)) 1) (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* y (+ x -1)) 1) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* y (+ x -1)) 1) (-.f64 #s(literal 1 binary64) y)) (patch #s(approx (+ (* y (+ x -1)) 1) (-.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 (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (/ (* y x) (+ y 1)) (*.f64 y x))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (/ (* y x) (+ y 1)) (*.f64 y x))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* y x) (+ y 1)) (*.f64 y x)) (patch #s(approx (/ (* y x) (+ y 1)) (*.f64 y x)) #<representation binary64>) () ()) |
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))) x)) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))) x) (patch (*.f64 #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))) (patch #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))) #<representation binary64>) () ()) |
#s(alt (-.f64 y (*.f64 y y)) (patch (-.f64 y (*.f64 y y)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))) (patch (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ()) |
#s(alt (/.f64 y (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 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 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (patch (/.f64 (+.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ (* -1 (/ (- 1 (/ 1 y)) (pow y 2))) (/ 1 y)) (taylor 0 x) (#s(alt (+.f64 x (/.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) y)) (patch (+.f64 x (/.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (- 1 (/ 1 y)) (pow y 2))) (+ (* x (- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))) (/ 1 y))) (taylor 0 x) (#s(alt (+.f64 x (/.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) y)) (patch (+.f64 x (/.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (- 1 (/ 1 y)) (pow y 2))) (+ (* x (- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))) (/ 1 y))) (taylor 0 x) (#s(alt (+.f64 x (/.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) y)) (patch (+.f64 x (/.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (- 1 (/ 1 y)) (pow y 2))) (+ (* x (- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))) (/ 1 y))) (taylor 0 x) (#s(alt (+.f64 x (/.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) y)) (patch (+.f64 x (/.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))) (taylor inf x) (#s(alt (+.f64 x (/.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) y)) (patch (+.f64 x (/.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (+ (* -1 (/ (- 1 (/ 1 y)) (* x (pow y 2)))) (+ (/ 1 (* x y)) (/ 1 (pow y 2))))) (+ (/ 1 y) (/ 1 (pow y 3))))) (taylor inf x) (#s(alt (+.f64 x (/.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) y)) (patch (+.f64 x (/.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (+ (* -1 (/ (- 1 (/ 1 y)) (* x (pow y 2)))) (+ (/ 1 (* x y)) (/ 1 (pow y 2))))) (+ (/ 1 y) (/ 1 (pow y 3))))) (taylor inf x) (#s(alt (+.f64 x (/.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) y)) (patch (+.f64 x (/.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) y)) #<representation binary64>) () ())) ()) |
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#s(alt (* 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 (* 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 (* 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 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 (/ 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 (/ 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 (/ 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 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (patch (/.f64 (+.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (- (/ x y) (/ 1 y)) (taylor 0 x) (#s(alt (/.f64 (+.f64 #s(literal -1 binary64) x) y) (patch (/.f64 (+.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (- (/ x y) (/ 1 y)) (taylor 0 x) (#s(alt (/.f64 (+.f64 #s(literal -1 binary64) x) y) (patch (/.f64 (+.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (- (/ x y) (/ 1 y)) (taylor 0 x) (#s(alt (/.f64 (+.f64 #s(literal -1 binary64) x) y) (patch (/.f64 (+.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf x) (#s(alt (/.f64 (+.f64 #s(literal -1 binary64) x) y) (patch (/.f64 (+.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 y) (/ 1 (* x y)))) (taylor inf x) (#s(alt (/.f64 (+.f64 #s(literal -1 binary64) x) y) (patch (/.f64 (+.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 y) (/ 1 (* x y)))) (taylor inf x) (#s(alt (/.f64 (+.f64 #s(literal -1 binary64) x) y) (patch (/.f64 (+.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 y) (/ 1 (* x y)))) (taylor inf x) (#s(alt (/.f64 (+.f64 #s(literal -1 binary64) x) y) (patch (/.f64 (+.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 (+.f64 #s(literal -1 binary64) x) y) (patch (/.f64 (+.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) (taylor -inf x) (#s(alt (/.f64 (+.f64 #s(literal -1 binary64) x) y) (patch (/.f64 (+.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) (taylor -inf x) (#s(alt (/.f64 (+.f64 #s(literal -1 binary64) x) y) (patch (/.f64 (+.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) (taylor -inf x) (#s(alt (/.f64 (+.f64 #s(literal -1 binary64) x) y) (patch (/.f64 (+.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x 1) y) (taylor 0 y) (#s(alt (/.f64 (+.f64 #s(literal -1 binary64) x) y) (patch (/.f64 (+.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x 1) y) (taylor 0 y) (#s(alt (/.f64 (+.f64 #s(literal -1 binary64) x) y) (patch (/.f64 (+.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x 1) y) (taylor 0 y) (#s(alt (/.f64 (+.f64 #s(literal -1 binary64) x) y) (patch (/.f64 (+.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x 1) y) (taylor 0 y) (#s(alt (/.f64 (+.f64 #s(literal -1 binary64) x) y) (patch (/.f64 (+.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x 1) y) (taylor inf y) (#s(alt (/.f64 (+.f64 #s(literal -1 binary64) x) y) (patch (/.f64 (+.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x 1) y) (taylor inf y) (#s(alt (/.f64 (+.f64 #s(literal -1 binary64) x) y) (patch (/.f64 (+.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x 1) y) (taylor inf y) (#s(alt (/.f64 (+.f64 #s(literal -1 binary64) x) y) (patch (/.f64 (+.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x 1) y) (taylor inf y) (#s(alt (/.f64 (+.f64 #s(literal -1 binary64) x) y) (patch (/.f64 (+.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x 1) y) (taylor -inf y) (#s(alt (/.f64 (+.f64 #s(literal -1 binary64) x) y) (patch (/.f64 (+.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x 1) y) (taylor -inf y) (#s(alt (/.f64 (+.f64 #s(literal -1 binary64) x) y) (patch (/.f64 (+.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x 1) y) (taylor -inf y) (#s(alt (/.f64 (+.f64 #s(literal -1 binary64) x) y) (patch (/.f64 (+.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x 1) y) (taylor -inf y) (#s(alt (/.f64 (+.f64 #s(literal -1 binary64) x) y) (patch (/.f64 (+.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ())) ()) |
99 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | inf | (/ (+ -1 x) y) |
| 1.0ms | x | @ | 0 | (+ x (/ (+ (* (/ (+ -1 x) y) (- (/ -1 y) -1)) (- 1 x)) y)) |
| 1.0ms | x | @ | -inf | (+ x (/ (+ (* (/ (+ -1 x) y) (- (/ -1 y) -1)) (- 1 x)) y)) |
| 1.0ms | x | @ | inf | (+ x (/ (+ (* (/ (+ -1 x) y) (- (/ -1 y) -1)) (- 1 x)) y)) |
| 0.0ms | x | @ | -inf | (+ (* (/ (+ -1 x) y) (- (/ -1 y) -1)) (- 1 x)) |
| 1× | egg-herbie |
| 13 610× | lower-fma.f64 |
| 13 610× | lower-fma.f32 |
| 4 784× | lower-+.f64 |
| 4 784× | lower-+.f32 |
| 3 882× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 295 | 4705 |
| 1 | 933 | 4322 |
| 2 | 2802 | 3808 |
| 0 | 8247 | 3662 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* -1 (/ (- 1 (/ 1 y)) (pow y 2))) (/ 1 y)) |
(+ (* -1 (/ (- 1 (/ 1 y)) (pow y 2))) (+ (* x (- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))) (/ 1 y))) |
(+ (* -1 (/ (- 1 (/ 1 y)) (pow y 2))) (+ (* x (- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))) (/ 1 y))) |
(+ (* -1 (/ (- 1 (/ 1 y)) (pow y 2))) (+ (* x (- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))) (/ 1 y))) |
(* x (- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))) |
(* x (- (+ 1 (+ (* -1 (/ (- 1 (/ 1 y)) (* x (pow y 2)))) (+ (/ 1 (* x y)) (/ 1 (pow y 2))))) (+ (/ 1 y) (/ 1 (pow y 3))))) |
(* x (- (+ 1 (+ (* -1 (/ (- 1 (/ 1 y)) (* x (pow y 2)))) (+ (/ 1 (* x y)) (/ 1 (pow y 2))))) (+ (/ 1 y) (/ 1 (pow y 3))))) |
(* x (- (+ 1 (+ (* -1 (/ (- 1 (/ 1 y)) (* x (pow y 2)))) (+ (/ 1 (* x y)) (/ 1 (pow y 2))))) (+ (/ 1 y) (/ 1 (pow y 3))))) |
(* -1 (* x (- (+ (* -1 (/ (- 1 (/ 1 y)) (pow y 2))) (/ 1 y)) 1))) |
(* -1 (* x (- (+ (* -1 (/ (+ (* -1 (- (/ 1 (pow y 2)) (/ 1 (pow y 3)))) (/ 1 y)) x)) (+ (* -1 (/ (- 1 (/ 1 y)) (pow y 2))) (/ 1 y))) 1))) |
(* -1 (* x (- (+ (* -1 (/ (+ (* -1 (- (/ 1 (pow y 2)) (/ 1 (pow y 3)))) (/ 1 y)) x)) (+ (* -1 (/ (- 1 (/ 1 y)) (pow y 2))) (/ 1 y))) 1))) |
(* -1 (* x (- (+ (* -1 (/ (+ (* -1 (- (/ 1 (pow y 2)) (/ 1 (pow y 3)))) (/ 1 y)) x)) (+ (* -1 (/ (- 1 (/ 1 y)) (pow y 2))) (/ 1 y))) 1))) |
(* -1 (/ (- x 1) (pow y 3))) |
(/ (+ (* -1 (- x 1)) (* y (- x 1))) (pow y 3)) |
(/ (+ (* -1 (- x 1)) (* y (- (+ x (* y (- 1 x))) 1))) (pow y 3)) |
(/ (+ (* -1 (- x 1)) (* y (- (+ x (* y (- (+ 1 (* x y)) x))) 1))) (pow y 3)) |
x |
(- (+ x (/ 1 y)) (/ x y)) |
(- (+ x (+ (/ 1 y) (/ x (pow y 2)))) (+ (/ 1 (pow y 2)) (/ x y))) |
(- (+ x (+ (* -1 (/ (- x 1) (pow y 3))) (+ (/ 1 y) (/ x (pow y 2))))) (+ (/ 1 (pow y 2)) (/ x y))) |
x |
(- (+ x (/ 1 y)) (/ x y)) |
(+ x (* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ (- x 1) y))) y))) |
(+ x (* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ (- (+ x (* -1 (/ (- x 1) y))) 1) y))) y))) |
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) |
(+ 1 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* x (- (/ 1 y) (+ 1 (/ 1 (pow y 2))))))) |
(+ 1 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* x (- (/ 1 y) (+ 1 (/ 1 (pow y 2))))))) |
(+ 1 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* x (- (/ 1 y) (+ 1 (/ 1 (pow y 2))))))) |
(* x (- (/ 1 y) (+ 1 (/ 1 (pow y 2))))) |
(* x (- (+ (* -1 (/ (- 1 (/ 1 y)) (* x y))) (+ (/ 1 x) (/ 1 y))) (+ 1 (/ 1 (pow y 2))))) |
(* x (- (+ (* -1 (/ (- 1 (/ 1 y)) (* x y))) (+ (/ 1 x) (/ 1 y))) (+ 1 (/ 1 (pow y 2))))) |
(* x (- (+ (* -1 (/ (- 1 (/ 1 y)) (* x y))) (+ (/ 1 x) (/ 1 y))) (+ 1 (/ 1 (pow y 2))))) |
(* -1 (* x (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))))) |
(* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* -1 (- (/ 1 y) (/ 1 (pow y 2))))) x)) (* -1 (/ (- 1 (/ 1 y)) y)))))) |
(* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* -1 (- (/ 1 y) (/ 1 (pow y 2))))) x)) (* -1 (/ (- 1 (/ 1 y)) y)))))) |
(* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* -1 (- (/ 1 y) (/ 1 (pow y 2))))) x)) (* -1 (/ (- 1 (/ 1 y)) y)))))) |
(* -1 (/ (- x 1) (pow y 2))) |
(/ (+ (* -1 (- x 1)) (* y (- x 1))) (pow y 2)) |
(/ (+ (* -1 (- x 1)) (* y (- (+ x (* y (- 1 x))) 1))) (pow y 2)) |
(/ (+ (* -1 (- x 1)) (* y (- (+ x (* y (- 1 x))) 1))) (pow y 2)) |
(- 1 x) |
(- (+ 1 (/ x y)) (+ x (/ 1 y))) |
(- (+ 1 (+ (* -1 (/ (- x 1) (pow y 2))) (/ x y))) (+ x (/ 1 y))) |
(- (+ 1 (+ (* -1 (/ (- x 1) (pow y 2))) (/ x y))) (+ x (/ 1 y))) |
(- 1 x) |
(- (+ 1 (/ x y)) (+ x (/ 1 y))) |
(- (+ 1 (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) x) |
(- (+ 1 (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) x) |
(- 1 (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(/ (* x y) (+ 1 y)) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(/ (* x y) (+ 1 y)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
1 |
(+ 1 (* y (- x 1))) |
(+ 1 (* y (- (+ x (* y (- 1 x))) 1))) |
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) |
x |
(- (+ x (/ 1 y)) (/ x y)) |
(- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y)) |
(- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3)))))) |
x |
(+ x (* -1 (/ (- x 1) y))) |
(+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y))) |
(+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y))) |
(/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y) |
(+ (* -1 (/ (- 1 (/ 1 y)) (pow y 2))) (+ (* x (- (/ 1 (pow y 2)) (+ (/ 1 y) (/ 1 (pow y 3))))) (/ 1 y))) |
(+ (* -1 (/ (- 1 (/ 1 y)) (pow y 2))) (+ (* x (- (/ 1 (pow y 2)) (+ (/ 1 y) (/ 1 (pow y 3))))) (/ 1 y))) |
(+ (* -1 (/ (- 1 (/ 1 y)) (pow y 2))) (+ (* x (- (/ 1 (pow y 2)) (+ (/ 1 y) (/ 1 (pow y 3))))) (/ 1 y))) |
(/ (* x (- (/ 1 y) (+ 1 (/ 1 (pow y 2))))) y) |
(* x (- (+ (* -1 (/ (- 1 (/ 1 y)) (* x (pow y 2)))) (+ (/ 1 (* x y)) (/ 1 (pow y 2)))) (+ (/ 1 y) (/ 1 (pow y 3))))) |
(* x (- (+ (* -1 (/ (- 1 (/ 1 y)) (* x (pow y 2)))) (+ (/ 1 (* x y)) (/ 1 (pow y 2)))) (+ (/ 1 y) (/ 1 (pow y 3))))) |
(* x (- (+ (* -1 (/ (- 1 (/ 1 y)) (* x (pow y 2)))) (+ (/ 1 (* x y)) (/ 1 (pow y 2)))) (+ (/ 1 y) (/ 1 (pow y 3))))) |
(* -1 (/ (* x (+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))) y)) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 y) (/ 1 (pow y 2))) y)) (/ 1 y)) x)) (+ (* -1 (/ (- 1 (/ 1 y)) (pow y 2))) (/ 1 y))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 y) (/ 1 (pow y 2))) y)) (/ 1 y)) x)) (+ (* -1 (/ (- 1 (/ 1 y)) (pow y 2))) (/ 1 y))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 y) (/ 1 (pow y 2))) y)) (/ 1 y)) x)) (+ (* -1 (/ (- 1 (/ 1 y)) (pow y 2))) (/ 1 y))))) |
(* -1 (/ (- x 1) (pow y 3))) |
(/ (+ (* -1 (- x 1)) (* y (- x 1))) (pow y 3)) |
(/ (+ (* -1 (- x 1)) (* y (- (+ x (* y (- 1 x))) 1))) (pow y 3)) |
(/ (+ (* -1 (- x 1)) (* y (- (+ x (* y (- 1 x))) 1))) (pow y 3)) |
(/ (- 1 x) y) |
(/ (- (+ 1 (/ x y)) (+ x (/ 1 y))) y) |
(/ (- (+ 1 (+ (* -1 (/ (- x 1) (pow y 2))) (/ x y))) (+ x (/ 1 y))) y) |
(/ (- (+ 1 (+ (* -1 (/ (- x 1) (pow y 2))) (/ x y))) (+ x (/ 1 y))) y) |
(/ (- 1 x) y) |
(* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ (- x 1) y))) y)) |
(* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ (- (+ x (* -1 (/ (- x 1) y))) 1) y))) y)) |
(* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ (- (+ x (* -1 (/ (- x 1) y))) 1) y))) y)) |
(- 1 (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(/ (* x y) (+ 1 y)) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(/ (* x y) (+ 1 y)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
1 |
(+ 1 (* y (- x 1))) |
(+ 1 (* y (- (+ x (* y (- 1 x))) 1))) |
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) |
x |
(- (+ x (/ 1 y)) (/ x y)) |
(- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y)) |
(- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3)))))) |
x |
(+ x (* -1 (/ (- x 1) y))) |
(+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y))) |
(+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y))) |
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)) |
(* y (- x 1)) |
(* -1 (* y (- (* -1 (- x 1)) (/ 1 y)))) |
(* -1 (* y (- (* -1 (- x 1)) (/ 1 y)))) |
(* -1 (* y (- (* -1 (- x 1)) (/ 1 y)))) |
(+ 1 (* -1 y)) |
(+ 1 (+ (* -1 y) (* x y))) |
(+ 1 (+ (* -1 y) (* x y))) |
(+ 1 (+ (* -1 y) (* x y))) |
(* x y) |
(* x (+ y (+ (* -1 (/ y x)) (/ 1 x)))) |
(* x (+ y (+ (* -1 (/ y x)) (/ 1 x)))) |
(* x (+ y (+ (* -1 (/ y x)) (/ 1 x)))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 (* -1 y)) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 (* -1 y)) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 (* -1 y)) 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)))) |
(- 1 (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(/ (* x y) (+ 1 y)) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(/ (* x y) (+ 1 y)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
1 |
(+ 1 (* y (- x 1))) |
(+ 1 (* y (- (+ x (* y (- 1 x))) 1))) |
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) |
x |
(- (+ x (/ 1 y)) (/ x y)) |
(- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y)) |
(- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3)))))) |
x |
(+ x (* -1 (/ (- x 1) y))) |
(+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y))) |
(+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y))) |
(* x y) |
(* y (+ x (* -1 (* x y)))) |
(* y (+ x (* y (- (* x y) x)))) |
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))) |
x |
(+ x (* -1 (/ x y))) |
(- (+ x (/ x (pow y 2))) (/ x y)) |
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) |
x |
(+ x (* -1 (/ x y))) |
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) |
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y))) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 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 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(/ (* x y) (+ 1 y)) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(/ (* x y) (+ 1 y)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
1 |
(+ 1 (* y (- x 1))) |
(+ 1 (* y (- (+ x (* y (- 1 x))) 1))) |
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) |
x |
(- (+ x (/ 1 y)) (/ x y)) |
(- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y)) |
(- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3)))))) |
x |
(+ x (* -1 (/ (- x 1) y))) |
(+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y))) |
(+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y))) |
(* x y) |
(* y (+ x (* -1 (* x y)))) |
(* y (+ x (* y (- (* x y) x)))) |
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))) |
x |
(+ x (* -1 (/ x y))) |
(- (+ x (/ x (pow y 2))) (/ x y)) |
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) |
x |
(+ x (* -1 (/ x y))) |
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) |
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y))) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
y |
(* y (+ 1 (* -1 y))) |
(* y (+ 1 (* y (- y 1)))) |
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))) |
1 |
(- 1 (/ 1 y)) |
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) |
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) |
1 |
(- 1 (/ 1 y)) |
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y))) |
y |
(* y (+ 1 (* -1 y))) |
(* y (+ 1 (* -1 y))) |
(* y (+ 1 (* -1 y))) |
(* -1 (pow y 2)) |
(* (pow y 2) (- (/ 1 y) 1)) |
(* (pow y 2) (- (/ 1 y) 1)) |
(* (pow y 2) (- (/ 1 y) 1)) |
(* -1 (pow y 2)) |
(* (pow y 2) (- (/ 1 y) 1)) |
(* (pow y 2) (- (/ 1 y) 1)) |
(* (pow y 2) (- (/ 1 y) 1)) |
(- 1 (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(/ (* x y) (+ 1 y)) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(/ (* x y) (+ 1 y)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
1 |
(+ 1 (* y (- x 1))) |
(+ 1 (* y (- (+ x (* y (- 1 x))) 1))) |
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) |
x |
(- (+ x (/ 1 y)) (/ x y)) |
(- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y)) |
(- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3)))))) |
x |
(+ x (* -1 (/ (- x 1) y))) |
(+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y))) |
(+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y))) |
(/ y (+ 1 y)) |
(+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(* -1 (/ (* x y) (+ 1 y))) |
(* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))) |
(* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))) |
(* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))) |
(* -1 (/ (* x y) (+ 1 y))) |
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))))) |
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))))) |
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))))) |
(* y (- 1 x)) |
(* y (- (+ 1 (* y (- x 1))) x)) |
(* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)) |
(* y (- (+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) x)) |
(- 1 x) |
(- (+ 1 (/ x y)) (+ x (/ 1 y))) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ x (+ (/ 1 y) (/ x (pow y 2))))) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ x (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))) |
(- 1 x) |
(- (+ 1 (/ x y)) (+ x (/ 1 y))) |
(- (+ 1 (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) x) |
(- (+ 1 (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) y))) x) |
y |
(* y (+ 1 (* -1 y))) |
(* y (+ 1 (* y (- y 1)))) |
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))) |
1 |
(- 1 (/ 1 y)) |
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) |
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) |
1 |
(- 1 (/ 1 y)) |
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y))) |
1 |
(+ 1 y) |
(+ 1 y) |
(+ 1 y) |
y |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
y |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(/ -1 y) |
(- (/ x y) (/ 1 y)) |
(- (/ x y) (/ 1 y)) |
(- (/ x y) (/ 1 y)) |
(/ x y) |
(* x (- (/ 1 y) (/ 1 (* x y)))) |
(* x (- (/ 1 y) (/ 1 (* x y)))) |
(* x (- (/ 1 y) (/ 1 (* x y)))) |
(/ x y) |
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) |
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) |
(* -1 (* x (- (/ 1 (* x y)) (/ 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) y) |
(/ (- x 1) y) |
| Outputs |
|---|
(+ (* -1 (/ (- 1 (/ 1 y)) (pow y 2))) (/ 1 y)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) y) |
(+ (* -1 (/ (- 1 (/ 1 y)) (pow y 2))) (+ (* x (- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))) (/ 1 y))) |
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) y) (+.f64 x (/.f64 (-.f64 (/.f64 (-.f64 x (/.f64 x y)) y) x) y))) |
(+ (* -1 (/ (- 1 (/ 1 y)) (pow y 2))) (+ (* x (- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))) (/ 1 y))) |
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) y) (+.f64 x (/.f64 (-.f64 (/.f64 (-.f64 x (/.f64 x y)) y) x) y))) |
(+ (* -1 (/ (- 1 (/ 1 y)) (pow y 2))) (+ (* x (- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))) (/ 1 y))) |
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) y) (+.f64 x (/.f64 (-.f64 (/.f64 (-.f64 x (/.f64 x y)) y) x) y))) |
(* x (- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))) |
(+.f64 x (/.f64 (-.f64 (/.f64 (-.f64 x (/.f64 x y)) y) x) y)) |
(* x (- (+ 1 (+ (* -1 (/ (- 1 (/ 1 y)) (* x (pow y 2)))) (+ (/ 1 (* x y)) (/ 1 (pow y 2))))) (+ (/ 1 y) (/ 1 (pow y 3))))) |
(+.f64 x (+.f64 (/.f64 (/.f64 (+.f64 x (/.f64 (-.f64 (/.f64 x y) x) y)) y) x) (/.f64 (-.f64 (/.f64 (-.f64 x (/.f64 x y)) y) x) y))) |
(* x (- (+ 1 (+ (* -1 (/ (- 1 (/ 1 y)) (* x (pow y 2)))) (+ (/ 1 (* x y)) (/ 1 (pow y 2))))) (+ (/ 1 y) (/ 1 (pow y 3))))) |
(+.f64 x (+.f64 (/.f64 (/.f64 (+.f64 x (/.f64 (-.f64 (/.f64 x y) x) y)) y) x) (/.f64 (-.f64 (/.f64 (-.f64 x (/.f64 x y)) y) x) y))) |
(* x (- (+ 1 (+ (* -1 (/ (- 1 (/ 1 y)) (* x (pow y 2)))) (+ (/ 1 (* x y)) (/ 1 (pow y 2))))) (+ (/ 1 y) (/ 1 (pow y 3))))) |
(+.f64 x (+.f64 (/.f64 (/.f64 (+.f64 x (/.f64 (-.f64 (/.f64 x y) x) y)) y) x) (/.f64 (-.f64 (/.f64 (-.f64 x (/.f64 x y)) y) x) y))) |
(* -1 (* x (- (+ (* -1 (/ (- 1 (/ 1 y)) (pow y 2))) (/ 1 y)) 1))) |
(+.f64 x (/.f64 (-.f64 (/.f64 (-.f64 x (/.f64 x y)) y) x) y)) |
(* -1 (* x (- (+ (* -1 (/ (+ (* -1 (- (/ 1 (pow y 2)) (/ 1 (pow y 3)))) (/ 1 y)) x)) (+ (* -1 (/ (- 1 (/ 1 y)) (pow y 2))) (/ 1 y))) 1))) |
(+.f64 x (+.f64 (/.f64 (/.f64 (+.f64 x (/.f64 (-.f64 (/.f64 x y) x) y)) y) x) (/.f64 (-.f64 (/.f64 (-.f64 x (/.f64 x y)) y) x) y))) |
(* -1 (* x (- (+ (* -1 (/ (+ (* -1 (- (/ 1 (pow y 2)) (/ 1 (pow y 3)))) (/ 1 y)) x)) (+ (* -1 (/ (- 1 (/ 1 y)) (pow y 2))) (/ 1 y))) 1))) |
(+.f64 x (+.f64 (/.f64 (/.f64 (+.f64 x (/.f64 (-.f64 (/.f64 x y) x) y)) y) x) (/.f64 (-.f64 (/.f64 (-.f64 x (/.f64 x y)) y) x) y))) |
(* -1 (* x (- (+ (* -1 (/ (+ (* -1 (- (/ 1 (pow y 2)) (/ 1 (pow y 3)))) (/ 1 y)) x)) (+ (* -1 (/ (- 1 (/ 1 y)) (pow y 2))) (/ 1 y))) 1))) |
(+.f64 x (+.f64 (/.f64 (/.f64 (+.f64 x (/.f64 (-.f64 (/.f64 x y) x) y)) y) x) (/.f64 (-.f64 (/.f64 (-.f64 x (/.f64 x y)) y) x) y))) |
(* -1 (/ (- x 1) (pow y 3))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 y y))) |
(/ (+ (* -1 (- x 1)) (* y (- x 1))) (pow y 3)) |
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) y)) (*.f64 y (*.f64 y y))) |
(/ (+ (* -1 (- x 1)) (* y (- (+ x (* y (- 1 x))) 1))) (pow y 3)) |
(/.f64 (fma.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x)) (*.f64 y (*.f64 y y))) |
(/ (+ (* -1 (- x 1)) (* y (- (+ x (* y (- (+ 1 (* x y)) x))) 1))) (pow y 3)) |
(/.f64 (fma.f64 y (fma.f64 y (-.f64 (fma.f64 y x #s(literal 1 binary64)) x) (+.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (*.f64 y (*.f64 y y))) |
x |
(- (+ x (/ 1 y)) (/ x y)) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(- (+ x (+ (/ 1 y) (/ x (pow y 2)))) (+ (/ 1 (pow y 2)) (/ x y))) |
(-.f64 x (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) y)) (*.f64 y y))) |
(- (+ x (+ (* -1 (/ (- x 1) (pow y 3))) (+ (/ 1 y) (/ x (pow y 2))))) (+ (/ 1 (pow y 2)) (/ x y))) |
(+.f64 (-.f64 x (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) y)) (*.f64 y y))) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 y y)))) |
x |
(- (+ x (/ 1 y)) (/ x y)) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+ x (* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ (- x 1) y))) y))) |
(-.f64 x (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) y)) (*.f64 y y))) |
(+ x (* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ (- (+ x (* -1 (/ (- x 1) y))) 1) y))) y))) |
(+.f64 x (/.f64 (fma.f64 (+.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 y y)) (-.f64 #s(literal 1 binary64) x)) y)) |
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) |
(+ 1 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* x (- (/ 1 y) (+ 1 (/ 1 (pow y 2))))))) |
(+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) y) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 x (/.f64 x y)) y) x))) |
(+ 1 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* x (- (/ 1 y) (+ 1 (/ 1 (pow y 2))))))) |
(+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) y) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 x (/.f64 x y)) y) x))) |
(+ 1 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* x (- (/ 1 y) (+ 1 (/ 1 (pow y 2))))))) |
(+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) y) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 x (/.f64 x y)) y) x))) |
(* x (- (/ 1 y) (+ 1 (/ 1 (pow y 2))))) |
(-.f64 (/.f64 (-.f64 x (/.f64 x y)) y) x) |
(* x (- (+ (* -1 (/ (- 1 (/ 1 y)) (* x y))) (+ (/ 1 x) (/ 1 y))) (+ 1 (/ 1 (pow y 2))))) |
(fma.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 y x)) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 x (/.f64 x y)) y) x))) |
(* x (- (+ (* -1 (/ (- 1 (/ 1 y)) (* x y))) (+ (/ 1 x) (/ 1 y))) (+ 1 (/ 1 (pow y 2))))) |
(fma.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 y x)) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 x (/.f64 x y)) y) x))) |
(* x (- (+ (* -1 (/ (- 1 (/ 1 y)) (* x y))) (+ (/ 1 x) (/ 1 y))) (+ 1 (/ 1 (pow y 2))))) |
(fma.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 y x)) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 x (/.f64 x y)) y) x))) |
(* -1 (* x (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))))) |
(-.f64 (/.f64 (-.f64 x (/.f64 x y)) y) x) |
(* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* -1 (- (/ 1 y) (/ 1 (pow y 2))))) x)) (* -1 (/ (- 1 (/ 1 y)) y)))))) |
(fma.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 y x)) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 x (/.f64 x y)) y) x))) |
(* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* -1 (- (/ 1 y) (/ 1 (pow y 2))))) x)) (* -1 (/ (- 1 (/ 1 y)) y)))))) |
(fma.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 y x)) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 x (/.f64 x y)) y) x))) |
(* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* -1 (- (/ 1 y) (/ 1 (pow y 2))))) x)) (* -1 (/ (- 1 (/ 1 y)) y)))))) |
(fma.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 y x)) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 x (/.f64 x y)) y) x))) |
(* -1 (/ (- x 1) (pow y 2))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y y)) |
(/ (+ (* -1 (- x 1)) (* y (- x 1))) (pow y 2)) |
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) y)) (*.f64 y y)) |
(/ (+ (* -1 (- x 1)) (* y (- (+ x (* y (- 1 x))) 1))) (pow y 2)) |
(/.f64 (fma.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x)) (*.f64 y y)) |
(/ (+ (* -1 (- x 1)) (* y (- (+ x (* y (- 1 x))) 1))) (pow y 2)) |
(/.f64 (fma.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x)) (*.f64 y y)) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
(- (+ 1 (/ x y)) (+ x (/ 1 y))) |
(-.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) #s(literal 1 binary64)) x) |
(- (+ 1 (+ (* -1 (/ (- x 1) (pow y 2))) (/ x y))) (+ x (/ 1 y))) |
(fma.f64 (+.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 y y)) (-.f64 #s(literal 1 binary64) x)) |
(- (+ 1 (+ (* -1 (/ (- x 1) (pow y 2))) (/ x y))) (+ x (/ 1 y))) |
(fma.f64 (+.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 y y)) (-.f64 #s(literal 1 binary64) x)) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
(- (+ 1 (/ x y)) (+ x (/ 1 y))) |
(-.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) #s(literal 1 binary64)) x) |
(- (+ 1 (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) x) |
(fma.f64 (+.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 y y)) (-.f64 #s(literal 1 binary64) x)) |
(- (+ 1 (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) x) |
(fma.f64 (+.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 y y)) (-.f64 #s(literal 1 binary64) x)) |
(- 1 (/ y (+ 1 y))) |
(-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(/ (* x y) (+ 1 y)) |
(/.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) y)) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(fma.f64 x (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(fma.f64 x (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(fma.f64 x (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
(/ (* x y) (+ 1 y)) |
(/.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(fma.f64 x (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(fma.f64 x (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(fma.f64 x (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* y (- x 1))) |
(-.f64 (fma.f64 y x #s(literal 1 binary64)) y) |
(+ 1 (* y (- (+ x (* y (- 1 x))) 1))) |
(fma.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) |
(fma.f64 y (fma.f64 y (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) y)) (+.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) |
x |
(- (+ x (/ 1 y)) (/ x y)) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y)) |
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(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
y |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(- (/ x y) (/ 1 y)) |
(/.f64 (+.f64 #s(literal -1 binary64) x) y) |
(- (/ x y) (/ 1 y)) |
(/.f64 (+.f64 #s(literal -1 binary64) x) y) |
(- (/ x y) (/ 1 y)) |
(/.f64 (+.f64 #s(literal -1 binary64) x) y) |
(/ x y) |
(/.f64 x y) |
(* x (- (/ 1 y) (/ 1 (* x y)))) |
(fma.f64 x (/.f64 #s(literal -1 binary64) (*.f64 y x)) (/.f64 x y)) |
(* x (- (/ 1 y) (/ 1 (* x y)))) |
(fma.f64 x (/.f64 #s(literal -1 binary64) (*.f64 y x)) (/.f64 x y)) |
(* x (- (/ 1 y) (/ 1 (* x y)))) |
(fma.f64 x (/.f64 #s(literal -1 binary64) (*.f64 y x)) (/.f64 x y)) |
(/ x y) |
(/.f64 x y) |
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) |
(fma.f64 x (/.f64 #s(literal -1 binary64) (*.f64 y x)) (/.f64 x y)) |
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) |
(fma.f64 x (/.f64 #s(literal -1 binary64) (*.f64 y x)) (/.f64 x y)) |
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) |
(fma.f64 x (/.f64 #s(literal -1 binary64) (*.f64 y x)) (/.f64 x y)) |
(/ (- x 1) y) |
(/.f64 (+.f64 #s(literal -1 binary64) x) y) |
(/ (- x 1) y) |
(/.f64 (+.f64 #s(literal -1 binary64) x) y) |
(/ (- x 1) y) |
(/.f64 (+.f64 #s(literal -1 binary64) x) y) |
(/ (- x 1) y) |
(/.f64 (+.f64 #s(literal -1 binary64) x) y) |
(/ (- x 1) y) |
(/.f64 (+.f64 #s(literal -1 binary64) x) y) |
(/ (- x 1) y) |
(/.f64 (+.f64 #s(literal -1 binary64) x) y) |
(/ (- x 1) y) |
(/.f64 (+.f64 #s(literal -1 binary64) x) y) |
(/ (- x 1) y) |
(/.f64 (+.f64 #s(literal -1 binary64) x) y) |
(/ (- x 1) y) |
(/.f64 (+.f64 #s(literal -1 binary64) x) y) |
(/ (- x 1) y) |
(/.f64 (+.f64 #s(literal -1 binary64) x) y) |
(/ (- x 1) y) |
(/.f64 (+.f64 #s(literal -1 binary64) x) y) |
(/ (- x 1) y) |
(/.f64 (+.f64 #s(literal -1 binary64) x) y) |
| 4 962× | lower-/.f32 |
| 4 954× | lower-/.f64 |
| 4 358× | lower-fma.f32 |
| 4 356× | lower-fma.f64 |
| 3 866× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 251 |
| 0 | 57 | 251 |
| 1 | 259 | 251 |
| 2 | 2315 | 251 |
| 0 | 8656 | 249 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (/.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) y)) |
(fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) y))) |
(/.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) y) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* y (+ x -1)) 1) (-.f64 #s(literal 1 binary64) y))) |
#s(approx (+ (* y (+ x -1)) 1) (-.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) y) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (/ (* y x) (+ y 1)) (*.f64 y x))) |
#s(approx (/ (* y x) (+ y 1)) (*.f64 y x)) |
(*.f64 y x) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))) x)) |
(*.f64 #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))) x) |
#s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))) |
(-.f64 y (*.f64 y y)) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))) |
#s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
(/.f64 y (+.f64 #s(literal 1 binary64) y)) |
(+.f64 #s(literal 1 binary64) y) |
(/.f64 (+.f64 #s(literal -1 binary64) x) y) |
| Outputs |
|---|
(+.f64 x (/.f64 (-.f64 (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64)) x) y)) |
(+.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64)) x) y) x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (-.f64 (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64)) x) y))) (/.f64 (/.f64 (*.f64 (-.f64 (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64)) x) (-.f64 (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64)) x)) (*.f64 y y)) (-.f64 x (/.f64 (-.f64 (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64)) x) y)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (-.f64 (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64)) x) (-.f64 (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64)) x)) (*.f64 y y)) (-.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64)) x) y) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64)) x) y) x))) |
(fma.f64 x #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64)) x) y)) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64)) x) #s(literal -1 binary64)) x) |
(fma.f64 #s(literal 1 binary64) x (/.f64 (-.f64 (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64)) x) y)) |
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64)) x) y) x) |
(fma.f64 (-.f64 (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) y) x) |
(fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64)) x) y) #s(literal 1 binary64) x) |
(fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64)) x) y) (/.f64 (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) x)))) x) |
(fma.f64 (neg.f64 (-.f64 (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64)) x)) (/.f64 #s(literal -1 binary64) y) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64)) x) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64)) x)) #s(literal -1 binary64)) x) |
(fma.f64 (pow.f64 (/.f64 y (fma.f64 (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (*.f64 y (*.f64 y y))) (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) y)) (/.f64 (*.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))) (*.f64 y y)))) x) |
(fma.f64 (pow.f64 (/.f64 y (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))) (*.f64 y y)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) x)))) x) |
(fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64)) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y) x) |
(fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (*.f64 y (*.f64 y y))) (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))) y) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) y)) (/.f64 (*.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))) (*.f64 y y)))) #s(literal 1 binary64)) x) |
(fma.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))) (*.f64 y y)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) y) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) x) |
(fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (*.f64 y (*.f64 y y))) (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) y)) (/.f64 (*.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))) (*.f64 y y)))) y) x) |
(fma.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))) (*.f64 y y)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) x)))) y) x) |
(fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) y)) (/.f64 (*.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))) (*.f64 y y))) y) (/.f64 (-.f64 (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64)) x) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) y)) (/.f64 (*.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))) (*.f64 y y)))) x) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64)) x) y) (-.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64)) x) y) x) (*.f64 x x)) (fma.f64 x (*.f64 x x) (/.f64 (*.f64 (-.f64 (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64)) x) (*.f64 (-.f64 (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64)) x) (-.f64 (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64)) x))) (*.f64 y (*.f64 y y))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x (/.f64 (-.f64 (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64)) x) y)) (-.f64 (*.f64 x x) (/.f64 (*.f64 (-.f64 (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64)) x) (-.f64 (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64)) x)) (*.f64 y y)))))) |
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(*.f64 (pow.f64 (/.f64 y (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) |
(*.f64 (pow.f64 (/.f64 y (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))) |
(*.f64 (pow.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x))) |
(*.f64 (pow.f64 (/.f64 y (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) y) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) y) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) y)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) y) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) y) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) y) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) y)) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) y)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) y)) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) y)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) y)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) y) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) y) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) |
Compiled 18 643 to 1 662 computations (91.1% saved)
21 alts after pruning (11 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 787 | 7 | 794 |
| Fresh | 2 | 4 | 6 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 6 | 6 |
| Total | 790 | 21 | 811 |
| Status | Accuracy | Program |
|---|---|---|
| 43.5% | (fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) | |
| ✓ | 43.4% | (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))) |
| 42.7% | (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))))) | |
| 3.1% | (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)))) | |
| ✓ | 54.3% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
| 43.5% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 x #s(approx (* (+ 1 (/ -1 x)) (/ y (+ 1 y))) (neg.f64 (/.f64 y (fma.f64 y x x)))) #s(literal 1 binary64))) | |
| ✓ | 39.9% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (/.f64 (*.f64 y x) (+.f64 y #s(literal 1 binary64)))) |
| 33.0% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) y)) (*.f64 y y)))) | |
| 35.9% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))) (*.f64 y y)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) x)))) y))) | |
| 46.5% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) | |
| ✓ | 50.4% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)) |
| ✓ | 14.1% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))) x)) |
| 2.4% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ 1 y)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y)))) x)) | |
| ✓ | 15.0% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (/ (* y x) (+ y 1)) (*.f64 y x))) |
| 42.7% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- y (* y x)) (+ y -1)) 1) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) | |
| ✓ | 42.3% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* y (+ x -1)) 1) (-.f64 #s(literal 1 binary64) y))) |
| 3.1% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* y (+ x -1)) 1) #s(approx (- 1 y) (neg.f64 y)))) | |
| 12.0% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (+ (* (/ (+ -1 x) y) (- (/ -1 y) -1)) (- 1 x)) y)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) y))) | |
| ✓ | 37.5% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (-.f64 x (/.f64 x y)))) |
| ✓ | 42.4% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
| ✓ | 37.3% | #s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) |
Compiled 579 to 211 computations (63.6% saved)
| Inputs |
|---|
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* y (+ x -1)) 1) #s(approx (- 1 y) (neg.f64 y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* y (+ x -1)) 1) (-.f64 #s(literal 1 binary64) y))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (- 1 x) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* y (+ x -1)) 1) (*.f64 y x))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (/ (* y x) (+ y 1)) (*.f64 y x))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- y (* y x)) (+ y -1)) 1) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ 1 y)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y)))) x)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))) x)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (-.f64 x (/.f64 x y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (/.f64 (*.f64 y x) (+.f64 y #s(literal 1 binary64)))) |
(fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) (+.f64 y #s(literal 1 binary64)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 x #s(approx (* (+ 1 (/ -1 x)) (/ y (+ 1 y))) (neg.f64 (/.f64 y (fma.f64 y x x)))) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) y)) (*.f64 y y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (+ (* (/ (+ -1 x) y) (- (/ -1 y) -1)) (- 1 x)) y)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))) (*.f64 y y)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) x)))) y))) |
| Outputs |
|---|
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))) (*.f64 y y)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) x)))) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)) |
5 calls:
| 12.0ms | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| 9.0ms | y |
| 9.0ms | x |
| 8.0ms | (-.f64 #s(literal 1 binary64) x) |
| 8.0ms | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.2% | 3 | x |
| 99.9% | 3 | y |
| 99.9% | 3 | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| 99.9% | 3 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| 81.7% | 1 | (-.f64 #s(literal 1 binary64) x) |
Compiled 35 to 23 computations (34.3% saved)
| Inputs |
|---|
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* y (+ x -1)) 1) #s(approx (- 1 y) (neg.f64 y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* y (+ x -1)) 1) (-.f64 #s(literal 1 binary64) y))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (- 1 x) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* y (+ x -1)) 1) (*.f64 y x))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (/ (* y x) (+ y 1)) (*.f64 y x))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- y (* y x)) (+ y -1)) 1) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ 1 y)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y)))) x)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))) x)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (-.f64 x (/.f64 x y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (/.f64 (*.f64 y x) (+.f64 y #s(literal 1 binary64)))) |
(fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) (+.f64 y #s(literal 1 binary64)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 x #s(approx (* (+ 1 (/ -1 x)) (/ y (+ 1 y))) (neg.f64 (/.f64 y (fma.f64 y x x)))) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) y)) (*.f64 y y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (+ (* (/ (+ -1 x) y) (- (/ -1 y) -1)) (- 1 x)) y)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) y))) |
| Outputs |
|---|
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)) |
3 calls:
| 26.0ms | y |
| 8.0ms | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| 8.0ms | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 3 | y |
| 99.9% | 3 | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| 99.9% | 3 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
Compiled 27 to 17 computations (37% saved)
| Inputs |
|---|
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* y (+ x -1)) 1) #s(approx (- 1 y) (neg.f64 y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* y (+ x -1)) 1) (-.f64 #s(literal 1 binary64) y))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (- 1 x) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* y (+ x -1)) 1) (*.f64 y x))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (/ (* y x) (+ y 1)) (*.f64 y x))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- y (* y x)) (+ y -1)) 1) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ 1 y)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y)))) x)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))) x)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (-.f64 x (/.f64 x y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (/.f64 (*.f64 y x) (+.f64 y #s(literal 1 binary64)))) |
(fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) (+.f64 y #s(literal 1 binary64)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 x #s(approx (* (+ 1 (/ -1 x)) (/ y (+ 1 y))) (neg.f64 (/.f64 y (fma.f64 y x x)))) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) y)) (*.f64 y y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (+ (* (/ (+ -1 x) y) (- (/ -1 y) -1)) (- 1 x)) y)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)) |
3 calls:
| 58.0ms | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| 8.0ms | y |
| 8.0ms | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 3 | y |
| 99.8% | 3 | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| 99.8% | 3 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
Compiled 27 to 17 computations (37% saved)
| Inputs |
|---|
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* y (+ x -1)) 1) #s(approx (- 1 y) (neg.f64 y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* y (+ x -1)) 1) (-.f64 #s(literal 1 binary64) y))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (- 1 x) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* y (+ x -1)) 1) (*.f64 y x))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (/ (* y x) (+ y 1)) (*.f64 y x))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- y (* y x)) (+ y -1)) 1) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ 1 y)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y)))) x)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))) x)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (-.f64 x (/.f64 x y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (/.f64 (*.f64 y x) (+.f64 y #s(literal 1 binary64)))) |
(fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) (+.f64 y #s(literal 1 binary64)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 x #s(approx (* (+ 1 (/ -1 x)) (/ y (+ 1 y))) (neg.f64 (/.f64 y (fma.f64 y x x)))) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) y)) (*.f64 y y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (+ (* (/ (+ -1 x) y) (- (/ -1 y) -1)) (- 1 x)) y)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) y))) |
| Outputs |
|---|
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)) |
1 calls:
| 11.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 3 | y |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* y (+ x -1)) 1) #s(approx (- 1 y) (neg.f64 y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* y (+ x -1)) 1) (-.f64 #s(literal 1 binary64) y))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (- 1 x) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* y (+ x -1)) 1) (*.f64 y x))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (/ (* y x) (+ y 1)) (*.f64 y x))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- y (* y x)) (+ y -1)) 1) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ 1 y)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y)))) x)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))) x)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (-.f64 x (/.f64 x y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (/.f64 (*.f64 y x) (+.f64 y #s(literal 1 binary64)))) |
(fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) (+.f64 y #s(literal 1 binary64)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 x #s(approx (* (+ 1 (/ -1 x)) (/ y (+ 1 y))) (neg.f64 (/.f64 y (fma.f64 y x x)))) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) y)) (*.f64 y y)))) |
| Outputs |
|---|
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
3 calls:
| 8.0ms | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| 8.0ms | y |
| 7.0ms | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 3 | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| 99.7% | 3 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| 99.8% | 3 | y |
Compiled 27 to 17 computations (37% saved)
| Inputs |
|---|
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* y (+ x -1)) 1) #s(approx (- 1 y) (neg.f64 y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* y (+ x -1)) 1) (-.f64 #s(literal 1 binary64) y))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (- 1 x) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* y (+ x -1)) 1) (*.f64 y x))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (/ (* y x) (+ y 1)) (*.f64 y x))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- y (* y x)) (+ y -1)) 1) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ 1 y)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y)))) x)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))) x)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (-.f64 x (/.f64 x y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (/.f64 (*.f64 y x) (+.f64 y #s(literal 1 binary64)))) |
(fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
3 calls:
| 8.0ms | y |
| 6.0ms | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| 6.0ms | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 4 | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| 99.4% | 4 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| 98.6% | 3 | y |
Compiled 27 to 17 computations (37% saved)
| Inputs |
|---|
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* y (+ x -1)) 1) #s(approx (- 1 y) (neg.f64 y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* y (+ x -1)) 1) (-.f64 #s(literal 1 binary64) y))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (- 1 x) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* y (+ x -1)) 1) (*.f64 y x))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (/ (* y x) (+ y 1)) (*.f64 y x))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- y (* y x)) (+ y -1)) 1) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ 1 y)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y)))) x)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))) x)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (-.f64 x (/.f64 x y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
| Outputs |
|---|
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
1 calls:
| 6.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 3 | y |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* y (+ x -1)) 1) #s(approx (- 1 y) (neg.f64 y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* y (+ x -1)) 1) (-.f64 #s(literal 1 binary64) y))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (- 1 x) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* y (+ x -1)) 1) (*.f64 y x))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (/ (* y x) (+ y 1)) (*.f64 y x))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- y (* y x)) (+ y -1)) 1) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ 1 y)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y)))) x)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))) x)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (-.f64 x (/.f64 x y)))) |
| Outputs |
|---|
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (-.f64 x (/.f64 x y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (-.f64 x (/.f64 x y)))) |
3 calls:
| 5.0ms | y |
| 5.0ms | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| 4.0ms | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.9% | 3 | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| 76.9% | 3 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| 89.0% | 3 | y |
Compiled 27 to 17 computations (37% saved)
| Inputs |
|---|
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* y (+ x -1)) 1) #s(approx (- 1 y) (neg.f64 y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* y (+ x -1)) 1) (-.f64 #s(literal 1 binary64) y))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (- 1 x) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* y (+ x -1)) 1) (*.f64 y x))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (/ (* y x) (+ y 1)) (*.f64 y x))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- y (* y x)) (+ y -1)) 1) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ 1 y)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y)))) x)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))) x)) |
| Outputs |
|---|
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) |
1 calls:
| 8.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.4% | 3 | y |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* y (+ x -1)) 1) #s(approx (- 1 y) (neg.f64 y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* y (+ x -1)) 1) (-.f64 #s(literal 1 binary64) y))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (- 1 x) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* y (+ x -1)) 1) (*.f64 y x))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (/ (* y x) (+ y 1)) (*.f64 y x))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- y (* y x)) (+ y -1)) 1) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) |
| Outputs |
|---|
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- y (* y x)) (+ y -1)) 1) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) |
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) |
5 calls:
| 5.0ms | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| 4.0ms | y |
| 4.0ms | x |
| 3.0ms | (-.f64 #s(literal 1 binary64) x) |
| 3.0ms | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.6% | 3 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| 76.6% | 3 | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| 59.8% | 4 | (-.f64 #s(literal 1 binary64) x) |
| 60.8% | 4 | x |
| 76.6% | 3 | y |
Compiled 35 to 23 computations (34.3% saved)
| Inputs |
|---|
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* y (+ x -1)) 1) #s(approx (- 1 y) (neg.f64 y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* y (+ x -1)) 1) (-.f64 #s(literal 1 binary64) y))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (- 1 x) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* y (+ x -1)) 1) (*.f64 y x))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (/ (* y x) (+ y 1)) (*.f64 y x))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x))) |
| Outputs |
|---|
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* y (+ x -1)) 1) (-.f64 #s(literal 1 binary64) y))) |
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) |
3 calls:
| 3.0ms | y |
| 3.0ms | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| 3.0ms | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.5% | 3 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| 76.5% | 3 | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| 76.5% | 3 | y |
Compiled 27 to 17 computations (37% saved)
| Inputs |
|---|
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* y (+ x -1)) 1) #s(approx (- 1 y) (neg.f64 y)))) |
| Outputs |
|---|
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) |
3 calls:
| 2.0ms | y |
| 2.0ms | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| 2.0ms | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.9% | 3 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| 75.9% | 3 | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| 75.9% | 3 | y |
Compiled 27 to 17 computations (37% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) |
| Outputs |
|---|
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) |
5 calls:
| 9.0ms | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| 1.0ms | x |
| 1.0ms | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| 1.0ms | y |
| 1.0ms | (-.f64 #s(literal 1 binary64) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 37.3% | 1 | (-.f64 #s(literal 1 binary64) x) |
| 37.3% | 1 | x |
| 37.3% | 1 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| 37.3% | 1 | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| 37.3% | 1 | y |
Compiled 35 to 23 computations (34.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 137456297699151840.0 | 1.0117108635434238e+22 |
| 0.0ms | 6.234304428355987e-5 | 0.9715157702329078 |
Compiled 16 to 14 computations (12.5% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 137456297699151840.0 | 1.0117108635434238e+22 |
| 0.0ms | 6.234304428355987e-5 | 0.9715157702329078 |
Compiled 16 to 14 computations (12.5% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 44794.78934377687 | 1867647136350.8203 |
| 7.0ms | -362167179.02621543 | -146034308.7398153 |
| 11.0ms | 219× | 0 | valid |
| 1.0ms | 5× | 1 | valid |
Compiled 467 to 292 computations (37.5% saved)
ival-div: 2.0ms (30.2% of total)ival-sub: 2.0ms (30.2% of total)ival-add: 1.0ms (15.1% of total)ival-mult: 1.0ms (15.1% 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 |
|---|---|---|
| 3.0ms | 44794.78934377687 | 1867647136350.8203 |
| 4.0ms | -362167179.02621543 | -146034308.7398153 |
| 4.0ms | 80× | 0 | valid |
Compiled 397 to 264 computations (33.5% saved)
ival-div: 1.0ms (43.7% of total)ival-sub: 1.0ms (43.7% of total)ival-mult: 1.0ms (43.7% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 9.0ms | 44794.78934377687 | 1867647136350.8203 |
| 1.0ms | -362167179.02621543 | -146034308.7398153 |
| 5.0ms | 112× | 0 | valid |
Compiled 352 to 237 computations (32.7% saved)
ival-div: 1.0ms (32.1% of total)ival-sub: 1.0ms (32.1% of total)ival-mult: 1.0ms (32.1% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 6.234693118105145e-5 | 22.908274438756337 |
| 46.0ms | -26882.045896300555 | -1.4508004071340047e-5 |
| 48.0ms | 288× | 0 | valid |
Compiled 466 to 301 computations (35.4% saved)
ival-sub: 3.0ms (36.6% of total)ival-div: 2.0ms (24.4% of total)ival-mult: 2.0ms (24.4% of total)ival-add: 1.0ms (12.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 6.234693118105145e-5 | 22.908274438756337 |
| 1.0ms | -26882.045896300555 | -1.4508004071340047e-5 |
Compiled 394 to 265 computations (32.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 6.234693118105145e-5 | 22.908274438756337 |
| 1.0ms | -26882.045896300555 | -1.4508004071340047e-5 |
| 1.0ms | 16× | 0 | valid |
Compiled 376 to 229 computations (39.1% saved)
ival-div: 0.0ms (0% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 6.234693118105145e-5 | 22.908274438756337 |
| 1.0ms | -26882.045896300555 | -1.4508004071340047e-5 |
Compiled 286 to 193 computations (32.5% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 36.0ms | 6.234693118105145e-5 | 22.908274438756337 |
| 1.0ms | -26882.045896300555 | -1.4508004071340047e-5 |
| 4.0ms | 80× | 0 | valid |
Compiled 304 to 175 computations (42.4% saved)
ival-sub: 1.0ms (43.1% of total)ival-mult: 1.0ms (43.1% of total)ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 6.234693118105145e-5 | 22.908274438756337 |
| 1.0ms | -26882.045896300555 | -1.4508004071340047e-5 |
Compiled 250 to 157 computations (37.2% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 5.0ms | 6.234693118105145e-5 | 22.908274438756337 |
| 1.0ms | -26882.045896300555 | -1.4508004071340047e-5 |
| 3.0ms | 64× | 0 | valid |
Compiled 196 to 139 computations (29.1% saved)
ival-sub: 1.0ms (57.4% of total)ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 312× | distribute-lft-neg-in_binary64 |
| 266× | unsub-neg_binary64 |
| 192× | neg-mul-1_binary64 |
| 178× | neg-sub0_binary64 |
| 160× | cancel-sign-sub_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 132 | 866 |
| 1 | 169 | 866 |
| 2 | 205 | 866 |
| 3 | 232 | 865 |
| 4 | 286 | 865 |
| 5 | 373 | 865 |
| 6 | 479 | 865 |
| 7 | 616 | 865 |
| 8 | 776 | 865 |
| 9 | 929 | 865 |
| 10 | 1066 | 865 |
| 11 | 1167 | 865 |
| 12 | 1214 | 865 |
| 13 | 1228 | 865 |
| 14 | 1230 | 865 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) (if (<=.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #s(literal 200000000000000000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))) (*.f64 y y)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) x)))) y))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)))) |
(if (<=.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) (if (<=.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #s(literal 200000000000000000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)) y))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)))) |
(if (<=.f64 y #s(literal -165000000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (if (<=.f64 y #s(literal 300000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)))) |
(if (<=.f64 y #s(literal -210000000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (if (<=.f64 y #s(literal 360000 binary64)) (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)))) |
(if (<=.f64 y #s(literal -210000000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (if (<=.f64 y #s(literal 150000000 binary64)) (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (-.f64 x (/.f64 x y)))) (if (<=.f64 y #s(literal 4728779608739021/4503599627370496 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (-.f64 x (/.f64 x y)))))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) (if (<=.f64 y #s(literal 2589569785738035/1125899906842624 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- y (* y x)) (+ y -1)) 1) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) #s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* y (+ x -1)) 1) (-.f64 #s(literal 1 binary64) y))) #s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) (if (<=.f64 y #s(literal 7656119366529843/2251799813685248 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) #s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x))) |
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) |
| Outputs |
|---|
(if (<=.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) (if (<=.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #s(literal 200000000000000000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))) (*.f64 y y)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) x)))) y))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)))) |
(if (<=.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) y)) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) (if (<=.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) y)) #s(literal 200000000000000000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y))) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)))) (*.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (+.f64 x #s(literal -1 binary64)))) y))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) y)))))) |
(if (<=.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) (if (<=.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #s(literal 200000000000000000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)) y))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)))) |
(if (<=.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) y)) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) (if (<=.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) y)) #s(literal 200000000000000000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) x)) y))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) y)))))) |
(if (<=.f64 y #s(literal -165000000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (if (<=.f64 y #s(literal 300000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)))) |
(if (<=.f64 y #s(literal -165000000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (if (<=.f64 y #s(literal 300000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) x)))) |
(if (<=.f64 y #s(literal -210000000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (if (<=.f64 y #s(literal 360000 binary64)) (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)))) |
(if (<=.f64 y #s(literal -210000000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (if (<=.f64 y #s(literal 360000 binary64)) (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) x)))) |
(if (<=.f64 y #s(literal -210000000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (if (<=.f64 y #s(literal 150000000 binary64)) (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 y (*.f64 x y)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (-.f64 x (/.f64 x y)))) (if (<=.f64 y #s(literal 4728779608739021/4503599627370496 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (-.f64 x (/.f64 x y)))))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) (if (<=.f64 y #s(literal 2589569785738035/1125899906842624 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- y (* y x)) (+ y -1)) 1) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) #s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* y (+ x -1)) 1) (-.f64 #s(literal 1 binary64) y))) #s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) (if (<=.f64 y #s(literal 7656119366529843/2251799813685248 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) #s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x))) |
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) |
| 22 240× | lower-fma.f64 |
| 22 240× | lower-fma.f32 |
| 17 640× | lower-fma.f64 |
| 17 640× | lower-fma.f32 |
| 13 336× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 306 | 4178 |
| 1 | 970 | 3768 |
| 2 | 2918 | 2889 |
| 0 | 8787 | 2771 |
| 0 | 279 | 3417 |
| 1 | 925 | 2962 |
| 2 | 2764 | 2640 |
| 0 | 8208 | 2501 |
| 0 | 40 | 251 |
| 0 | 57 | 251 |
| 1 | 259 | 251 |
| 2 | 2315 | 251 |
| 0 | 8656 | 249 |
| 0 | 127 | 823 |
| 1 | 400 | 799 |
| 2 | 1127 | 684 |
| 3 | 4566 | 669 |
| 0 | 8319 | 648 |
| 0 | 8 | 31 |
| 0 | 13 | 31 |
| 1 | 63 | 31 |
| 2 | 533 | 31 |
| 0 | 8517 | 30 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 788 to 309 computations (60.8% saved)
Compiled 1 004 to 240 computations (76.1% saved)
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