
Time bar (total: 8.2s)
| 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)
| 471.0ms | 6 318× | 0 | valid |
| 215.0ms | 1 676× | 1 | valid |
| 73.0ms | 262× | 2 | valid |
ival-sub: 151.0ms (31.9% of total)ival-mult: 107.0ms (22.6% of total)ival-add: 80.0ms (16.9% of total)ival-div: 77.0ms (16.3% of total)adjust: 44.0ms (9.3% of total)ival-true: 6.0ms (1.3% of total)exact: 5.0ms (1.1% of total)ival-assert: 3.0ms (0.6% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 69 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| 26 | 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 | 69 | 0 |
/.f64 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) | o/n | 26 | 0 |
| ↳ | (*.f64 (-.f64 #s(literal 1 binary64) x) y) | overflow | 26 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 95 | 0 |
| - | 0 | 161 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 95 | 0 | 0 |
| - | 0 | 0 | 161 |
| number | freq |
|---|---|
| 0 | 161 |
| 1 | 95 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 38.0ms | 378× | 0 | valid |
| 15.0ms | 120× | 1 | valid |
| 3.0ms | 14× | 2 | valid |
Compiled 83 to 28 computations (66.3% saved)
ival-mult: 21.0ms (53.7% of total)ival-sub: 7.0ms (17.9% of total)ival-div: 4.0ms (10.2% of total)adjust: 3.0ms (7.7% of total)ival-add: 3.0ms (7.7% 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 x #s(literal 1 binary64)) (/.f64 y (-.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)) |
Compiled 11 to 8 computations (27.3% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 65.3% | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
Compiled 11 to 8 computations (27.3% 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 x #s(literal 1 binary64)) (/.f64 y (-.f64 y #s(literal -1 binary64))) #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 y (-.f64 #s(literal -1 binary64) y)) (-.f64 x #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(*.f64 y (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
x |
y |
(+.f64 y #s(literal 1 binary64)) |
(-.f64 y #s(literal -1 binary64)) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 y #s(literal 1 binary64)) | |
| accuracy | 0.01171875 | (*.f64 (-.f64 #s(literal 1 binary64) x) y) | |
| accuracy | 6.074500503030494 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) | |
| accuracy | 16.068082102452372 | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| 13.0ms | 189× | 0 | valid |
| 8.0ms | 7× | 2 | valid |
| 7.0ms | 60× | 1 | valid |
Compiled 36 to 10 computations (72.2% saved)
ival-mult: 11.0ms (56% of total)ival-sub: 3.0ms (15.3% of total)ival-div: 2.0ms (10.2% of total)ival-add: 2.0ms (10.2% of total)adjust: 1.0ms (5.1% 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 (-.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 (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 (* 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 (* 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 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 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 (- 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 (* 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 (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 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 (- 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 (- 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 (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 (- 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 (/ 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 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 (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 (/ (* 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 (* -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)) (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) (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 (/ (* 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 (/ (* 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 (* -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 (* -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>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | ((- 1 (/ (* (- 1 x) y) (+ y 1))) (/ (* (- 1 x) y) (+ y 1)) (* (- 1 x) y) (- 1 x) (+ y 1)) |
| 1.0ms | x | @ | -inf | ((- 1 (/ (* (- 1 x) y) (+ y 1))) (/ (* (- 1 x) y) (+ y 1)) (* (- 1 x) y) (- 1 x) (+ y 1)) |
| 1.0ms | y | @ | -inf | ((- 1 (/ (* (- 1 x) y) (+ y 1))) (/ (* (- 1 x) y) (+ y 1)) (* (- 1 x) y) (- 1 x) (+ y 1)) |
| 1.0ms | y | @ | 0 | ((- 1 (/ (* (- 1 x) y) (+ y 1))) (/ (* (- 1 x) y) (+ y 1)) (* (- 1 x) y) (- 1 x) (+ y 1)) |
| 1.0ms | x | @ | inf | ((- 1 (/ (* (- 1 x) y) (+ y 1))) (/ (* (- 1 x) y) (+ y 1)) (* (- 1 x) y) (- 1 x) (+ 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 | 4559 | 669 |
| 0 | 8305 | 648 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* y (- x 1))) |
(+ 1 (* y (- (+ x (* y (- 1 x))) 1))) |
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) |
(* 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)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
1 |
(+ 1 y) |
(+ 1 y) |
(+ 1 y) |
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)))))) |
(- 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)))))) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
y |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
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) |
(- (+ 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 (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
y |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(* 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))) |
(/ 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))) |
y |
(+ y (* -1 (* x y))) |
(+ y (* -1 (* x y))) |
(+ y (* -1 (* x y))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(/ (* 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)))))) |
(* -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)) |
(* x (+ (* -1 y) (/ y x))) |
(* x (+ (* -1 y) (/ y x))) |
(* x (+ (* -1 y) (/ y x))) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(/ (* 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 (/ (* 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))))) |
(* -1 (* x y)) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* y (- x 1))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(+ 1 (* y (- (+ x (* y (- 1 x))) 1))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64)) |
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) |
(fma.f64 (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) y)) y (-.f64 x #s(literal 1 binary64))) y #s(literal 1 binary64)) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* y (- (+ 1 (* y (- x 1))) x)) |
(*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) y)) y) |
(* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)) |
(*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y (-.f64 #s(literal 1 binary64) x)) y) |
(* y (- (+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) x)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) y)) y (-.f64 x #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
1 |
#s(literal 1 binary64) |
(+ 1 y) |
(+.f64 y #s(literal 1 binary64)) |
(+ 1 y) |
(+.f64 y #s(literal 1 binary64)) |
(+ 1 y) |
(+.f64 y #s(literal 1 binary64)) |
x |
(- (+ x (/ 1 y)) (/ x y)) |
(-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) 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 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) x) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
(- (+ 1 (/ x y)) (+ x (/ 1 y))) |
(-.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ x (+ (/ 1 y) (/ x (pow y 2))))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 #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 (fma.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) x) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) y))) (-.f64 x #s(literal 1 binary64))) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
y |
(* y (+ 1 (/ 1 y))) |
(+.f64 y #s(literal 1 binary64)) |
(* y (+ 1 (/ 1 y))) |
(+.f64 y #s(literal 1 binary64)) |
(* y (+ 1 (/ 1 y))) |
(+.f64 y #s(literal 1 binary64)) |
x |
(+ x (* -1 (/ (- x 1) y))) |
(-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) 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 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y)) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
(- (+ 1 (/ x y)) (+ x (/ 1 y))) |
(-.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))) |
(- (+ 1 (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) x) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x)) |
(- (+ 1 (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) y))) x) |
(*.f64 (-.f64 (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)) #s(literal 1 binary64)) (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) #s(literal -1 binary64))) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
y |
(* y (+ 1 (/ 1 y))) |
(+.f64 y #s(literal 1 binary64)) |
(* y (+ 1 (/ 1 y))) |
(+.f64 y #s(literal 1 binary64)) |
(* y (+ 1 (/ 1 y))) |
(+.f64 y #s(literal 1 binary64)) |
(- 1 (/ y (+ 1 y))) |
(-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/ y (+ 1 y)) |
(/.f64 y (+.f64 y #s(literal 1 binary64))) |
(+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) |
y |
(+ y (* -1 (* x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(+ y (* -1 (* x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(+ y (* -1 (* x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) 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) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.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 y #s(literal 1 binary64))) (-.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 y #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* -1 (/ (* x y) (+ 1 y))) |
(*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y) |
(* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))) |
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))) |
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))) |
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* x (+ (* -1 y) (/ y x))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* x (+ (* -1 y) (/ y x))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* x (+ (* -1 y) (/ y x))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* -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) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.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 y #s(literal 1 binary64))) (-.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 y #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* -1 (/ (* x y) (+ 1 y))) |
(*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y) |
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))))) |
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))))) |
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))))) |
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* -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) |
| 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 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) #s(literal 2 binary64)))) (-.f64 (fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) (-.f64 (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)))) |
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) |
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (pow.f64 (fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))) (pow.f64 (fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) (pow.f64 (fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))) (pow.f64 (fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))) (+.f64 (hypot.f64 (*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))) (pow.f64 (fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 (/.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)) #s(literal 1 binary64))) |
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(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.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) y)) |
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 y #s(literal 1 binary64)) (+.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (-.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))))) |
(/.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))) (*.f64 #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) y)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) |
(/.f64 #s(literal -1 binary64) (pow.f64 (-.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 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 y #s(literal 1 binary64))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) |
(/.f64 (+.f64 y #s(literal 1 binary64)) #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) (/.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))) |
(neg.f64 (-.f64 #s(literal -1 binary64) y)) |
(fma.f64 (/.f64 (*.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (*.f64 y y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 y y) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64))) (neg.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 y #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) y #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))) |
(-.f64 (/.f64 (*.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(-.f64 (*.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64)))) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) y)) |
(+.f64 (neg.f64 (neg.f64 y)) #s(literal 1 binary64)) |
(+.f64 (*.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64)))) (neg.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(+.f64 y #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 y))) |
(+.f64 #s(literal 1 binary64) y) |
Compiled 12 310 to 1 658 computations (86.5% 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 |
|---|---|---|
| 59.6% | (fma.f64 (/.f64 (*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) x)) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) | |
| 39.0% | (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64))))) | |
| 28.7% | (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x))) | |
| ▶ | 72.8% | (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y))) |
| 53.3% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x)) | |
| ▶ | 47.3% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))) |
| ▶ | 47.5% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64))) |
| 53.5% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y))) | |
| 53.7% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))) | |
| ▶ | 50.7% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)) |
| ▶ | 38.6% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
Compiled 216 to 174 computations (19.4% 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 (+.f64 y #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x) | |
| cost-diff | 0 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)) | |
| 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 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 x (-.f64 #s(literal -1 binary64) y)) | |
| cost-diff | 0 | (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y) | |
| cost-diff | 0 | #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y))) |
| 7 164× | lower-fma.f32 |
| 7 160× | lower-fma.f64 |
| 1 344× | lower-+.f32 |
| 1 340× | lower-+.f64 |
| 1 338× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 185 |
| 0 | 42 | 185 |
| 1 | 76 | 185 |
| 2 | 146 | 185 |
| 3 | 314 | 185 |
| 4 | 859 | 185 |
| 5 | 2357 | 185 |
| 6 | 4020 | 185 |
| 7 | 4893 | 185 |
| 8 | 5212 | 185 |
| 9 | 5338 | 185 |
| 10 | 5374 | 185 |
| 11 | 5443 | 185 |
| 12 | 5483 | 185 |
| 13 | 5483 | 185 |
| 14 | 5483 | 185 |
| 15 | 5868 | 185 |
| 16 | 6016 | 185 |
| 17 | 6016 | 185 |
| 0 | 6016 | 181 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y))) |
#s(literal 1 binary64) |
#s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)) |
(*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y) |
(/.f64 x (-.f64 #s(literal -1 binary64) y)) |
x |
(-.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
#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 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
y |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64)) |
(*.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) |
y |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)) |
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x) |
(/.f64 y (+.f64 y #s(literal 1 binary64))) |
y |
(+.f64 y #s(literal 1 binary64)) |
#s(literal 1 binary64) |
x |
| Outputs |
|---|
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) x))) |
#s(literal 1 binary64) |
#s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)) |
#s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) x)) |
(*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y) |
(*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) x) |
(/.f64 x (-.f64 #s(literal -1 binary64) y)) |
x |
(-.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
#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 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
y |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) (-.f64 x #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 (-.f64 #s(literal 1 binary64) y) y) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(+.f64 #s(literal -1 binary64) y) |
(-.f64 y #s(literal 1 binary64)) |
#s(literal -1 binary64) |
y |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) x)) |
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x) |
(*.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) x) |
(/.f64 y (+.f64 y #s(literal 1 binary64))) |
(/.f64 y (-.f64 y #s(literal -1 binary64))) |
y |
(+.f64 y #s(literal 1 binary64)) |
(-.f64 y #s(literal -1 binary64)) |
#s(literal 1 binary64) |
x |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 y #s(literal 1 binary64)) | |
| accuracy | 0.01171875 | (/.f64 y (+.f64 y #s(literal 1 binary64))) | |
| accuracy | 0.01171875 | (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x) | |
| accuracy | 31.566817678812562 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 y #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 | 0.0234375 | (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64)) | |
| accuracy | 33.5842433838922 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64))) | |
| accuracy | 0 | (-.f64 x #s(literal 1 binary64)) | |
| accuracy | 0.01171875 | (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) | |
| accuracy | 33.69604034618028 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))) | |
| accuracy | 39.28692488692629 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) | |
| accuracy | 0.00390625 | (/.f64 x (-.f64 #s(literal -1 binary64) y)) | |
| accuracy | 5.973239863777411 | (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y) | |
| accuracy | 16.068082102452372 | (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y))) | |
| accuracy | 32.80597604255613 | #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)) |
| 32.0ms | 189× | 0 | valid |
| 32.0ms | 60× | 1 | valid |
| 3.0ms | 7× | 2 | valid |
Compiled 145 to 23 computations (84.1% saved)
ival-mult: 15.0ms (31% of total)adjust: 13.0ms (26.9% of total)ival-add: 8.0ms (16.6% of total)ival-div: 6.0ms (12.4% of total)ival-sub: 6.0ms (12.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y))) (patch (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y))) #<representation:binary64>) () ()) |
#s(alt #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)) (patch #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)) #<representation:binary64>) () ()) |
#s(alt (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y) (patch (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y) #<representation:binary64>) () ()) |
#s(alt (/.f64 x (-.f64 #s(literal -1 binary64) y)) (patch (/.f64 x (-.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 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))) #<representation:binary64>) () ()) |
#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) y #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 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64))) #<representation:binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) 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 #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)) #<representation:binary64>) () ()) |
#s(alt (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x) (patch (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x) #<representation:binary64>) () ()) |
#s(alt (/.f64 y (+.f64 y #s(literal 1 binary64))) (patch (/.f64 y (+.f64 y #s(literal 1 binary64))) #<representation:binary64>) () ()) |
#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<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 (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y))) (patch (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y))) #<representation:binary64>) () ())) ()) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | y | @ | -inf | ((- 1 (/ (* (- 1 x) y) (+ y 1))) (/ (* (- 1 x) y) (+ y 1)) (* (/ x (- -1 y)) y) (/ x (- -1 y)) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (- x 1) y) 1) (- x 1) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (* (- 1 x) (+ -1 y)) y) 1) (* (- 1 x) (+ -1 y)) (- 1 x) (- 1 (/ (* (- 1 x) y) (+ y 1))) (* (/ y (+ y 1)) x) (/ y (+ y 1)) (+ y 1) (+ -1 y)) |
| 2.0ms | x | @ | 0 | ((- 1 (/ (* (- 1 x) y) (+ y 1))) (/ (* (- 1 x) y) (+ y 1)) (* (/ x (- -1 y)) y) (/ x (- -1 y)) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (- x 1) y) 1) (- x 1) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (* (- 1 x) (+ -1 y)) y) 1) (* (- 1 x) (+ -1 y)) (- 1 x) (- 1 (/ (* (- 1 x) y) (+ y 1))) (* (/ y (+ y 1)) x) (/ y (+ y 1)) (+ y 1) (+ -1 y)) |
| 2.0ms | x | @ | inf | ((- 1 (/ (* (- 1 x) y) (+ y 1))) (/ (* (- 1 x) y) (+ y 1)) (* (/ x (- -1 y)) y) (/ x (- -1 y)) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (- x 1) y) 1) (- x 1) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (* (- 1 x) (+ -1 y)) y) 1) (* (- 1 x) (+ -1 y)) (- 1 x) (- 1 (/ (* (- 1 x) y) (+ y 1))) (* (/ y (+ y 1)) x) (/ y (+ y 1)) (+ y 1) (+ -1 y)) |
| 2.0ms | x | @ | -inf | ((- 1 (/ (* (- 1 x) y) (+ y 1))) (/ (* (- 1 x) y) (+ y 1)) (* (/ x (- -1 y)) y) (/ x (- -1 y)) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (- x 1) y) 1) (- x 1) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (* (- 1 x) (+ -1 y)) y) 1) (* (- 1 x) (+ -1 y)) (- 1 x) (- 1 (/ (* (- 1 x) y) (+ y 1))) (* (/ y (+ y 1)) x) (/ y (+ y 1)) (+ y 1) (+ -1 y)) |
| 1.0ms | y | @ | inf | ((- 1 (/ (* (- 1 x) y) (+ y 1))) (/ (* (- 1 x) y) (+ y 1)) (* (/ x (- -1 y)) y) (/ x (- -1 y)) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (- x 1) y) 1) (- x 1) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (* (- 1 x) (+ -1 y)) y) 1) (* (- 1 x) (+ -1 y)) (- 1 x) (- 1 (/ (* (- 1 x) y) (+ y 1))) (* (/ y (+ y 1)) x) (/ y (+ y 1)) (+ y 1) (+ -1 y)) |
| 1× | egg-herbie |
| 19 126× | lower-fma.f64 |
| 19 126× | lower-fma.f32 |
| 4 966× | lower-+.f64 |
| 4 966× | lower-+.f32 |
| 3 398× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 276 | 3434 |
| 1 | 896 | 3251 |
| 2 | 2533 | 2857 |
| 0 | 8255 | 2709 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* y (- x 1))) |
(+ 1 (* y (- (+ x (* y (- 1 x))) 1))) |
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) |
(* 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 y)) |
(* y (+ (* -1 x) (* x y))) |
(* y (+ (* -1 x) (* y (+ x (* -1 (* x y)))))) |
(* y (+ (* -1 x) (* y (+ x (* y (+ (* -1 x) (* x y))))))) |
(* -1 x) |
(+ (* -1 x) (* x y)) |
(+ (* -1 x) (* y (+ x (* -1 (* x y))))) |
(+ (* -1 x) (* y (+ x (* y (+ (* -1 x) (* x y)))))) |
1 |
(+ 1 (* y (- x 1))) |
(+ 1 (* y (- (+ x (* y (- 1 x))) 1))) |
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) |
1 |
(+ 1 (* y (- x 1))) |
(+ 1 (* y (- (+ x (* y (- 1 x))) 1))) |
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) |
1 |
(+ 1 (* y (- x 1))) |
(+ 1 (* y (- x 1))) |
(+ 1 (* y (- x 1))) |
1 |
(+ 1 (* y (- x 1))) |
(+ 1 (* y (- (+ x (* y (- 1 x))) 1))) |
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) |
1 |
(+ 1 (* -1 (* y (- 1 x)))) |
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x))))) |
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x))))) |
(* -1 (- 1 x)) |
(+ (* -1 (- 1 x)) (* y (- 1 x))) |
(+ (* -1 (- 1 x)) (* y (- 1 x))) |
(+ (* -1 (- 1 x)) (* y (- 1 x))) |
1 |
(+ 1 (* y (- x 1))) |
(+ 1 (* y (- (+ x (* y (- 1 x))) 1))) |
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) |
(* x y) |
(* y (+ x (* -1 (* x y)))) |
(* y (+ x (* y (- (* x y) x)))) |
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))) |
y |
(* y (+ 1 (* -1 y))) |
(* y (+ 1 (* y (- y 1)))) |
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))) |
1 |
(+ 1 y) |
(+ 1 y) |
(+ 1 y) |
-1 |
(- y 1) |
(- y 1) |
(- y 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)))))) |
(- 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) (/ x y)) |
(+ (* -1 x) (+ (* -1 (/ x (pow y 2))) (/ x y))) |
(+ (* -1 x) (+ (* -1 (/ x (pow y 2))) (+ (/ x y) (/ x (pow y 3))))) |
(* -1 (/ x y)) |
(/ (+ (* -1 x) (/ x y)) y) |
(/ (+ (* -1 x) (+ (* -1 (/ x (pow y 2))) (/ x y))) y) |
(/ (+ (* -1 x) (+ (* -1 (/ x (pow y 2))) (+ (/ x y) (/ x (pow y 3))))) y) |
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 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)))))) |
(* y (- x 1)) |
(* y (- (+ x (/ 1 y)) 1)) |
(* y (- (+ x (/ 1 y)) 1)) |
(* y (- (+ x (/ 1 y)) 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)))))) |
(* (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)) |
(* y (- 1 x)) |
(* y (- (+ 1 (* -1 (/ (- 1 x) y))) x)) |
(* y (- (+ 1 (* -1 (/ (- 1 x) y))) x)) |
(* y (- (+ 1 (* -1 (/ (- 1 x) y))) x)) |
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 y))) |
(- (+ x (/ x (pow y 2))) (/ x y)) |
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) |
1 |
(- 1 (/ 1 y)) |
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) |
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) |
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))) |
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) |
(- (+ 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 x) |
(+ (* -1 x) (/ x y)) |
(+ (* -1 x) (* -1 (/ (+ (* -1 x) (/ x y)) y))) |
(+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (/ x y)) y))) y))) |
(* -1 (/ x y)) |
(* -1 (/ (+ x (* -1 (/ x y))) y)) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ x y)) (* -1 x)) y))) y)) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ x y)) (* -1 x)) y)) (* -1 x)) y))) y)) |
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 |
(+ 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 (- x 1)) |
(* -1 (* y (- (* -1 (- x 1)) (/ 1 y)))) |
(* -1 (* y (- (* -1 (- x 1)) (/ 1 y)))) |
(* -1 (* y (- (* -1 (- x 1)) (/ 1 y)))) |
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))) |
(* (pow y 2) (- 1 x)) |
(* (pow y 2) (- (+ 1 (* -1 (/ (- 1 x) y))) x)) |
(* (pow y 2) (- (+ 1 (* -1 (/ (- 1 (+ x (/ 1 y))) y))) x)) |
(* (pow y 2) (- (+ 1 (* -1 (/ (- 1 (+ x (/ 1 y))) y))) x)) |
(* y (- 1 x)) |
(* -1 (* y (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)))) |
(* -1 (* y (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)))) |
(* -1 (* y (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)))) |
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 |
(+ x (* -1 (/ x y))) |
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) |
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y))) |
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))) |
y |
(* -1 (* y (- (/ 1 y) 1))) |
(* -1 (* y (- (/ 1 y) 1))) |
(* -1 (* y (- (/ 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))) |
(/ 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))) |
(* -1 (/ (* x y) (+ 1 y))) |
(* -1 (/ (* x y) (+ 1 y))) |
(* -1 (/ (* x y) (+ 1 y))) |
(* -1 (/ x (+ 1 y))) |
(* -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))) |
(- 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))) |
(+ 1 (* -1 y)) |
(+ 1 (+ (* -1 y) (* x y))) |
(+ 1 (+ (* -1 y) (* x y))) |
(+ 1 (+ (* -1 y) (* x y))) |
-1 |
(- x 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))) |
(+ 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)))) |
(- y 1) |
(- (+ y (* -1 (* x (- y 1)))) 1) |
(- (+ y (* -1 (* x (- y 1)))) 1) |
(- (+ y (* -1 (* x (- y 1)))) 1) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -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 y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x 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)))))) |
(* -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 y) (+ 1 y))) |
(* -1 (/ (* x y) (+ 1 y))) |
(* -1 (/ (* x y) (+ 1 y))) |
(* -1 (/ x (+ 1 y))) |
(* -1 (/ x (+ 1 y))) |
(* -1 (/ x (+ 1 y))) |
(* -1 (/ x (+ 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)) |
(* 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) |
(* x (+ y (+ (* -1 (/ y x)) (/ 1 x)))) |
(* x (+ y (+ (* -1 (/ y x)) (/ 1 x)))) |
(* x (+ y (+ (* -1 (/ y x)) (/ 1 x)))) |
x |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(/ (* 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)))))) |
(* -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 1))) |
(* x (- (+ (* -1 (- y 1)) (/ y x)) (/ 1 x))) |
(* x (- (+ (* -1 (- y 1)) (/ y x)) (/ 1 x))) |
(* x (- (+ (* -1 (- y 1)) (/ y x)) (/ 1 x))) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(/ (* 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)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x 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 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 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))))) |
(* -1 (/ (* x y) (+ 1 y))) |
(* -1 (/ (* x y) (+ 1 y))) |
(* -1 (/ (* x y) (+ 1 y))) |
(* -1 (/ (* x y) (+ 1 y))) |
(* -1 (/ x (+ 1 y))) |
(* -1 (/ x (+ 1 y))) |
(* -1 (/ x (+ 1 y))) |
(* -1 (/ 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))))) |
(/ (* 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))))) |
(* 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))))) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(/ (* 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 (* 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))))) |
(* -1 (* x (- y 1))) |
(* -1 (* x (- (+ y (* -1 (/ (- y 1) x))) 1))) |
(* -1 (* x (- (+ y (* -1 (/ (- y 1) x))) 1))) |
(* -1 (* x (- (+ y (* -1 (/ (- y 1) x))) 1))) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(/ (* 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))))) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* y (- x 1))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(+ 1 (* y (- (+ x (* y (- 1 x))) 1))) |
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) |
(fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x)) y (-.f64 x #s(literal 1 binary64))) y #s(literal 1 binary64)) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* y (- (+ 1 (* y (- x 1))) x)) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x)) y) |
(* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)) |
(*.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) y) |
(* y (- (+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) x)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x)) y (-.f64 x #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* y (+ (* -1 x) (* x y))) |
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) x) |
(* y (+ (* -1 x) (* y (+ x (* -1 (* x y)))))) |
(*.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x) y) |
(* y (+ (* -1 x) (* y (+ x (* y (+ (* -1 x) (* x y))))))) |
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 x y (neg.f64 x))) y) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (* x y)) |
(fma.f64 x y (neg.f64 x)) |
(+ (* -1 x) (* y (+ x (* -1 (* x y))))) |
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(fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.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 y #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* -1 (* x (* y (- y 1)))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)) |
(* -1 (* x (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1))))) |
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y (/.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) x)) x) |
(* -1 (* x (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1))))) |
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y (/.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) x)) x) |
(* -1 (* x (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1))))) |
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y (/.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) x)) x) |
(* -1 (* x (- y 1))) |
(fma.f64 (neg.f64 y) x x) |
(* -1 (* x (- (+ y (* -1 (/ (- y 1) x))) 1))) |
(fma.f64 (-.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) x) y) x x) |
(* -1 (* x (- (+ y (* -1 (/ (- y 1) x))) 1))) |
(fma.f64 (-.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) x) y) x x) |
(* -1 (* x (- (+ y (* -1 (/ (- y 1) x))) 1))) |
(fma.f64 (-.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) x) y) x 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) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.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 y #s(literal 1 binary64))) (-.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 y #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x) |
| 4 864× | lower-*.f32 |
| 4 858× | lower-*.f64 |
| 4 702× | lower-/.f32 |
| 4 698× | lower-/.f64 |
| 3 748× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 167 |
| 0 | 42 | 167 |
| 1 | 178 | 167 |
| 2 | 1472 | 167 |
| 0 | 8238 | 167 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y))) |
#s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)) |
(*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y) |
(/.f64 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 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(-.f64 x #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) |
(-.f64 #s(literal 1 binary64) x) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)) |
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x) |
(/.f64 y (+.f64 y #s(literal 1 binary64))) |
(+.f64 y #s(literal 1 binary64)) |
(+.f64 #s(literal -1 binary64) y) |
| Outputs |
|---|
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)) #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)) (+.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (+.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)) (+.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y))) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)) (+.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)) #s(literal 1 binary64))) (*.f64 (+.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)) #s(literal 1 binary64)) (pow.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)) #s(literal 2 binary64)))) (*.f64 (+.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)) #s(literal 1 binary64)) (+.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)) (+.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)) (+.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)) #s(literal 3 binary64)))) (*.f64 (fma.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)) (+.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)) (+.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)) (+.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)) #s(literal 2 binary64))) (+.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y))))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)) #s(literal 3 binary64))) (fma.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)) (+.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)) #s(literal 2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)) (+.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)) (+.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)) #s(literal 3 binary64))))) |
(fma.f64 #s(literal -1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y))))) (/.f64 (pow.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)))))) |
(-.f64 (pow.f64 (+.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)) #s(literal 2 binary64)) (+.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)) #s(literal 1 binary64)))) |
(-.f64 (pow.f64 (fma.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)) (+.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)) #s(literal 3 binary64)) (fma.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)) (+.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y))) |
(+.f64 (neg.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y))) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)))) |
(*.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y))) |
#s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)) |
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(*.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(*.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 y (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(*.f64 (/.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 x (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))) |
(*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 x (pow.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 x (+.f64 y #s(literal 1 binary64)))) |
(*.f64 (/.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (/.f64 x (-.f64 #s(literal -1 binary64) y))) |
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 x (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 y (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 y (pow.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 y #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 y x) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (*.f64 y x) (pow.f64 (-.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 y y) (+.f64 y #s(literal 1 binary64))) (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (/.f64 (*.f64 y y) (-.f64 #s(literal -1 binary64) y))) |
(-.f64 y #s(literal 1 binary64)) |
(+.f64 #s(literal -1 binary64) y) |
(+.f64 y #s(literal -1 binary64)) |
Compiled 13 390 to 2 204 computations (83.5% saved)
16 alts after pruning (14 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 778 | 9 | 787 |
| Fresh | 1 | 5 | 6 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 782 | 16 | 798 |
| Status | Accuracy | Program |
|---|---|---|
| 39.0% | (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64))))) | |
| ▶ | 28.7% | (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x))) |
| 53.3% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x)) | |
| ✓ | 47.3% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))) |
| 38.4% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (-.f64 y #s(literal 1 binary64))) y #s(literal 1 binary64))) | |
| 53.5% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y))) | |
| ▶ | 53.7% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))) |
| ▶ | 11.4% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) (fma.f64 (neg.f64 y) y y)) x)) |
| 12.0% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y)) x)) | |
| 41.2% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x)) | |
| ▶ | 46.5% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 y (/.f64 x (+.f64 y #s(literal 1 binary64))))) |
| ▶ | 38.3% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y))) |
| 11.8% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.f64 x y))) | |
| 11.4% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (* (- 1 x) (+ -1 y)) y) 1) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)))) | |
| 41.0% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y)))) | |
| ✓ | 38.6% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
Compiled 253 to 214 computations (15.4% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 y #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 x (+.f64 y #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 y (/.f64 x (+.f64 y #s(literal 1 binary64)))) | |
| cost-diff | 0 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 y (/.f64 x (+.f64 y #s(literal 1 binary64))))) | |
| cost-diff | 0 | (fma.f64 (neg.f64 y) y y) | |
| cost-diff | 0 | #s(approx (/ y (+ y 1)) (fma.f64 (neg.f64 y) y y)) | |
| cost-diff | 0 | (*.f64 #s(approx (/ y (+ y 1)) (fma.f64 (neg.f64 y) y y)) x) | |
| cost-diff | 0 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) (fma.f64 (neg.f64 y) y y)) x)) | |
| 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 | (-.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)) | |
| cost-diff | 0 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y))) | |
| cost-diff | 0 | (-.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 (-.f64 x #s(literal 1 binary64)) y) | |
| cost-diff | 0 | (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)) | |
| cost-diff | 0 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))) |
| 1 740× | lower-fma.f32 |
| 1 738× | lower-fma.f64 |
| 736× | lower-*.f32 |
| 732× | lower-*.f64 |
| 440× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 204 |
| 0 | 44 | 204 |
| 1 | 78 | 204 |
| 2 | 132 | 204 |
| 3 | 252 | 204 |
| 4 | 661 | 204 |
| 5 | 1624 | 204 |
| 6 | 2502 | 204 |
| 7 | 2809 | 204 |
| 8 | 2904 | 204 |
| 9 | 2917 | 204 |
| 10 | 2920 | 204 |
| 11 | 2921 | 204 |
| 0 | 2921 | 198 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))) |
(-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)) |
x |
(/.f64 (-.f64 x #s(literal 1 binary64)) y) |
(-.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
y |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y))) |
#s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(-.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))) (*.f64 #s(approx (/ y (+ y 1)) (fma.f64 (neg.f64 y) y y)) x)) |
(*.f64 #s(approx (/ y (+ y 1)) (fma.f64 (neg.f64 y) y y)) x) |
#s(approx (/ y (+ y 1)) (fma.f64 (neg.f64 y) y y)) |
(fma.f64 (neg.f64 y) y y) |
(neg.f64 y) |
y |
x |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 y (/.f64 x (+.f64 y #s(literal 1 binary64))))) |
(*.f64 y (/.f64 x (+.f64 y #s(literal 1 binary64)))) |
y |
(/.f64 x (+.f64 y #s(literal 1 binary64))) |
x |
(+.f64 y #s(literal 1 binary64)) |
#s(literal 1 binary64) |
| Outputs |
|---|
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))) |
(-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)) |
x |
(/.f64 (-.f64 x #s(literal 1 binary64)) y) |
(-.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
y |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y))) |
#s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(-.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))) (*.f64 #s(approx (/ y (+ y 1)) (fma.f64 (neg.f64 y) y y)) x)) |
(*.f64 #s(approx (/ y (+ y 1)) (fma.f64 (neg.f64 y) y y)) x) |
#s(approx (/ y (+ y 1)) (fma.f64 (neg.f64 y) y y)) |
(fma.f64 (neg.f64 y) y y) |
(neg.f64 y) |
y |
x |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 y (/.f64 x (+.f64 y #s(literal 1 binary64))))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) y)) |
(*.f64 y (/.f64 x (+.f64 y #s(literal 1 binary64)))) |
(*.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) y) |
y |
(/.f64 x (+.f64 y #s(literal 1 binary64))) |
(/.f64 x (-.f64 y #s(literal -1 binary64))) |
x |
(+.f64 y #s(literal 1 binary64)) |
(-.f64 y #s(literal -1 binary64)) |
#s(literal 1 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 y #s(literal 1 binary64)) | |
| accuracy | 0.00390625 | (/.f64 x (+.f64 y #s(literal 1 binary64))) | |
| accuracy | 5.973239863777411 | (*.f64 y (/.f64 x (+.f64 y #s(literal 1 binary64)))) | |
| accuracy | 31.566817678812562 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 y (/.f64 x (+.f64 y #s(literal 1 binary64))))) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0.01171875 | (*.f64 #s(approx (/ y (+ y 1)) (fma.f64 (neg.f64 y) y y)) x) | |
| accuracy | 31.566817678812562 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) (fma.f64 (neg.f64 y) y y)) x)) | |
| accuracy | 33.8823563308764 | #s(approx (/ y (+ y 1)) (fma.f64 (neg.f64 y) y y)) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) x) | |
| accuracy | 16.068082102452372 | (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x))) | |
| accuracy | 29.39010772853564 | #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) y) | |
| accuracy | 22.72740813000234 | #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)) | |
| accuracy | 33.69604034618028 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y))) | |
| accuracy | 0 | (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)) | |
| accuracy | 0 | (-.f64 x #s(literal 1 binary64)) | |
| accuracy | 0.00390625 | (/.f64 (-.f64 x #s(literal 1 binary64)) y) | |
| accuracy | 29.65376957944166 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))) |
| 66.0ms | 189× | 0 | valid |
| 20.0ms | 60× | 1 | valid |
| 3.0ms | 7× | 2 | valid |
Compiled 141 to 23 computations (83.7% saved)
ival-div: 44.0ms (61.8% of total)ival-mult: 10.0ms (14% of total)ival-sub: 8.0ms (11.2% of total)adjust: 4.0ms (5.6% of total)ival-add: 4.0ms (5.6% of total)ival-neg: 1.0ms (1.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))) #<representation:binary64>) () ()) |
#s(alt (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)) (patch (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)) #<representation:binary64>) () ()) |
#s(alt (/.f64 (-.f64 x #s(literal 1 binary64)) y) (patch (/.f64 (-.f64 x #s(literal 1 binary64)) y) #<representation:binary64>) () ()) |
#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation:binary64>) () ()) |
#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y))) #<representation:binary64>) () ()) |
#s(alt #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)) (patch #s(approx (+ (* (- x 1) y) 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 (-.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))) (*.f64 #s(approx (/ y (+ y 1)) (fma.f64 (neg.f64 y) y y)) x)) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) (fma.f64 (neg.f64 y) y y)) x)) #<representation:binary64>) () ()) |
#s(alt (*.f64 #s(approx (/ y (+ y 1)) (fma.f64 (neg.f64 y) y y)) x) (patch (*.f64 #s(approx (/ y (+ y 1)) (fma.f64 (neg.f64 y) y y)) x) #<representation:binary64>) () ()) |
#s(alt #s(approx (/ y (+ y 1)) (fma.f64 (neg.f64 y) y y)) (patch #s(approx (/ y (+ y 1)) (fma.f64 (neg.f64 y) y y)) #<representation:binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 y) y y) (patch (fma.f64 (neg.f64 y) y y) #<representation:binary64>) () ()) |
#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 y (/.f64 x (+.f64 y #s(literal 1 binary64))))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 y (/.f64 x (+.f64 y #s(literal 1 binary64))))) #<representation:binary64>) () ()) |
#s(alt (*.f64 y (/.f64 x (+.f64 y #s(literal 1 binary64)))) (patch (*.f64 y (/.f64 x (+.f64 y #s(literal 1 binary64)))) #<representation:binary64>) () ()) |
#s(alt (/.f64 x (+.f64 y #s(literal 1 binary64))) (patch (/.f64 x (+.f64 y #s(literal 1 binary64))) #<representation:binary64>) () ()) |
#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation:binary64>) () ()) |
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation:binary64>) () ()) |
| Outputs |
|---|
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))) #<representation:binary64>) () ())) ()) |
#s(alt (+ 1 (* y (- x 1))) (taylor 0 y) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))) #<representation:binary64>) () ())) ()) |
#s(alt (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) (taylor 0 y) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))) #<representation:binary64>) () ())) ()) |
#s(alt (+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) (taylor 0 y) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))) #<representation:binary64>) () ())) ()) |
#s(alt (/ (- 1 x) y) (taylor 0 y) (#s(alt (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)) (patch (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (- (+ 1 (* x y)) x) y) (taylor 0 y) (#s(alt (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)) (patch (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (- (+ 1 (* x y)) x) y) (taylor 0 y) (#s(alt (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)) (patch (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (- (+ 1 (* x y)) x) y) (taylor 0 y) (#s(alt (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)) (patch (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (- x 1) y) (taylor 0 y) (#s(alt (/.f64 (-.f64 x #s(literal 1 binary64)) y) (patch (/.f64 (-.f64 x #s(literal 1 binary64)) y) #<representation:binary64>) () ())) ()) |
#s(alt (/ (- x 1) y) (taylor 0 y) (#s(alt (/.f64 (-.f64 x #s(literal 1 binary64)) y) (patch (/.f64 (-.f64 x #s(literal 1 binary64)) y) #<representation:binary64>) () ())) ()) |
#s(alt (/ (- x 1) y) (taylor 0 y) (#s(alt (/.f64 (-.f64 x #s(literal 1 binary64)) y) (patch (/.f64 (-.f64 x #s(literal 1 binary64)) y) #<representation:binary64>) () ())) ()) |
#s(alt (/ (- x 1) y) (taylor 0 y) (#s(alt (/.f64 (-.f64 x #s(literal 1 binary64)) y) (patch (/.f64 (-.f64 x #s(literal 1 binary64)) y) #<representation:binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y))) #<representation:binary64>) () ())) ()) |
#s(alt (+ 1 (* y (- x 1))) (taylor 0 y) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y))) #<representation:binary64>) () ())) ()) |
#s(alt (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) (taylor 0 y) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y))) #<representation:binary64>) () ())) ()) |
#s(alt (+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) (taylor 0 y) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y))) #<representation:binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)) (patch #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)) #<representation:binary64>) () ())) ()) |
#s(alt (+ 1 (* y (- x 1))) (taylor 0 y) (#s(alt #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)) (patch #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)) #<representation:binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y))) #<representation:binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)) (patch #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 (* -1 y)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)) (patch #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 (* -1 y)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)) (patch #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 (* -1 y)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)) (patch #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#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 (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) (taylor -inf x) (#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 (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) (taylor -inf x) (#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 (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) (taylor -inf x) (#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 (* -1 (/ (* x y) (+ 1 y))) (taylor -inf x) (#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 (* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))))) (taylor -inf x) (#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 (* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))))) (taylor -inf x) (#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 (* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))))) (taylor -inf x) (#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 (* -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 (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) (fma.f64 (neg.f64 y) y y)) x)) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) (fma.f64 (neg.f64 y) y y)) x)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) (fma.f64 (neg.f64 y) y y)) x)) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) (fma.f64 (neg.f64 y) y y)) x)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) (fma.f64 (neg.f64 y) y y)) x)) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) (fma.f64 (neg.f64 y) y y)) x)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) (fma.f64 (neg.f64 y) y y)) x)) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) (fma.f64 (neg.f64 y) y y)) x)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (/ y (+ y 1)) (fma.f64 (neg.f64 y) y y)) x) (patch (*.f64 #s(approx (/ y (+ y 1)) (fma.f64 (neg.f64 y) y y)) x) #<representation:binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (/ y (+ y 1)) (fma.f64 (neg.f64 y) y y)) x) (patch (*.f64 #s(approx (/ y (+ y 1)) (fma.f64 (neg.f64 y) y y)) x) #<representation:binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (/ y (+ y 1)) (fma.f64 (neg.f64 y) y y)) x) (patch (*.f64 #s(approx (/ y (+ y 1)) (fma.f64 (neg.f64 y) y y)) x) #<representation:binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (/ y (+ y 1)) (fma.f64 (neg.f64 y) y y)) x) (patch (*.f64 #s(approx (/ y (+ y 1)) (fma.f64 (neg.f64 y) y y)) x) #<representation:binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 y (/.f64 x (+.f64 y #s(literal 1 binary64))))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 y (/.f64 x (+.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 #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 y (/.f64 x (+.f64 y #s(literal 1 binary64))))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 y (/.f64 x (+.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 #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 y (/.f64 x (+.f64 y #s(literal 1 binary64))))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 y (/.f64 x (+.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 #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 y (/.f64 x (+.f64 y #s(literal 1 binary64))))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 y (/.f64 x (+.f64 y #s(literal 1 binary64))))) #<representation:binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt (*.f64 y (/.f64 x (+.f64 y #s(literal 1 binary64)))) (patch (*.f64 y (/.f64 x (+.f64 y #s(literal 1 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt (*.f64 y (/.f64 x (+.f64 y #s(literal 1 binary64)))) (patch (*.f64 y (/.f64 x (+.f64 y #s(literal 1 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt (*.f64 y (/.f64 x (+.f64 y #s(literal 1 binary64)))) (patch (*.f64 y (/.f64 x (+.f64 y #s(literal 1 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt (*.f64 y (/.f64 x (+.f64 y #s(literal 1 binary64)))) (patch (*.f64 y (/.f64 x (+.f64 y #s(literal 1 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt (/.f64 x (+.f64 y #s(literal 1 binary64))) (patch (/.f64 x (+.f64 y #s(literal 1 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt (/.f64 x (+.f64 y #s(literal 1 binary64))) (patch (/.f64 x (+.f64 y #s(literal 1 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt (/.f64 x (+.f64 y #s(literal 1 binary64))) (patch (/.f64 x (+.f64 y #s(literal 1 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt (/.f64 x (+.f64 y #s(literal 1 binary64))) (patch (/.f64 x (+.f64 y #s(literal 1 binary64))) #<representation:binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | ((- 1 (/ (* (- 1 x) y) (+ y 1))) (- x (/ (- x 1) y)) (/ (- x 1) y) (- x 1) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (- x 1) y) 1) (- 1 y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (/ (* (- 1 x) y) (+ y 1)) (- 1 x) (- 1 (/ (* (- 1 x) y) (+ y 1))) (* (/ y (+ y 1)) x) (/ y (+ y 1)) (+ (* (neg y) y) y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (* y (/ x (+ y 1))) (/ x (+ y 1)) (+ y 1) (neg y)) |
| 2.0ms | x | @ | inf | ((- 1 (/ (* (- 1 x) y) (+ y 1))) (- x (/ (- x 1) y)) (/ (- x 1) y) (- x 1) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (- x 1) y) 1) (- 1 y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (/ (* (- 1 x) y) (+ y 1)) (- 1 x) (- 1 (/ (* (- 1 x) y) (+ y 1))) (* (/ y (+ y 1)) x) (/ y (+ y 1)) (+ (* (neg y) y) y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (* y (/ x (+ y 1))) (/ x (+ y 1)) (+ y 1) (neg y)) |
| 2.0ms | x | @ | 0 | ((- 1 (/ (* (- 1 x) y) (+ y 1))) (- x (/ (- x 1) y)) (/ (- x 1) y) (- x 1) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (- x 1) y) 1) (- 1 y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (/ (* (- 1 x) y) (+ y 1)) (- 1 x) (- 1 (/ (* (- 1 x) y) (+ y 1))) (* (/ y (+ y 1)) x) (/ y (+ y 1)) (+ (* (neg y) y) y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (* y (/ x (+ y 1))) (/ x (+ y 1)) (+ y 1) (neg y)) |
| 1.0ms | y | @ | -inf | ((- 1 (/ (* (- 1 x) y) (+ y 1))) (- x (/ (- x 1) y)) (/ (- x 1) y) (- x 1) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (- x 1) y) 1) (- 1 y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (/ (* (- 1 x) y) (+ y 1)) (- 1 x) (- 1 (/ (* (- 1 x) y) (+ y 1))) (* (/ y (+ y 1)) x) (/ y (+ y 1)) (+ (* (neg y) y) y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (* y (/ x (+ y 1))) (/ x (+ y 1)) (+ y 1) (neg y)) |
| 1.0ms | y | @ | 0 | ((- 1 (/ (* (- 1 x) y) (+ y 1))) (- x (/ (- x 1) y)) (/ (- x 1) y) (- x 1) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (- x 1) y) 1) (- 1 y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (/ (* (- 1 x) y) (+ y 1)) (- 1 x) (- 1 (/ (* (- 1 x) y) (+ y 1))) (* (/ y (+ y 1)) x) (/ y (+ y 1)) (+ (* (neg y) y) y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (* y (/ x (+ y 1))) (/ x (+ y 1)) (+ y 1) (neg y)) |
| 1× | egg-herbie |
| 15 126× | lower-fma.f64 |
| 15 126× | lower-fma.f32 |
| 2 968× | lower-*.f64 |
| 2 968× | lower-*.f32 |
| 2 894× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 229 | 3173 |
| 1 | 708 | 3037 |
| 2 | 1886 | 2688 |
| 3 | 7123 | 2678 |
| 0 | 8090 | 2562 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* y (- x 1))) |
(+ 1 (* y (- (+ x (* y (- 1 x))) 1))) |
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) |
(/ (- 1 x) y) |
(/ (- (+ 1 (* x y)) x) y) |
(/ (- (+ 1 (* x y)) x) y) |
(/ (- (+ 1 (* x y)) x) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
1 |
(+ 1 (* y (- x 1))) |
(+ 1 (* y (- (+ x (* y (- 1 x))) 1))) |
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) |
1 |
(+ 1 (* y (- x 1))) |
(+ 1 (* y (- x 1))) |
(+ 1 (* y (- x 1))) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
1 |
(+ 1 (* y (- x 1))) |
(+ 1 (* y (- (+ x (* y (- 1 x))) 1))) |
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) |
(* 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 |
(+ 1 (* y (- x 1))) |
(+ 1 (* y (- (+ x (* y (- 1 x))) 1))) |
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) |
(* x y) |
(* y (+ x (* -1 (* x y)))) |
(* y (+ x (* y (- (* x y) x)))) |
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))) |
y |
(* y (+ 1 (* -1 y))) |
(* y (+ 1 (* y (- y 1)))) |
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))) |
y |
(* y (+ 1 (* -1 y))) |
(* y (+ 1 (* -1 y))) |
(* y (+ 1 (* -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 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 (* y (- (* x y) x))) |
(+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))) |
1 |
(+ 1 y) |
(+ 1 y) |
(+ 1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
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 y)) (/ x y)) |
(- (+ x (/ 1 y)) (/ x y)) |
(- (+ x (/ 1 y)) (/ x y)) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
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)))))) |
(* y (- x 1)) |
(* y (- (+ x (/ 1 y)) 1)) |
(* y (- (+ x (/ 1 y)) 1)) |
(* y (- (+ x (/ 1 y)) 1)) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 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)))))) |
(- 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)))))) |
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 y))) |
(- (+ x (/ x (pow y 2))) (/ x y)) |
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) |
1 |
(- 1 (/ 1 y)) |
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) |
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) |
(* -1 (pow y 2)) |
(* (pow y 2) (- (/ 1 y) 1)) |
(* (pow y 2) (- (/ 1 y) 1)) |
(* (pow y 2) (- (/ 1 y) 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 y))) |
(- (+ x (/ x (pow y 2))) (/ x y)) |
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) |
(/ x y) |
(/ (+ x (* -1 (/ x y))) y) |
(/ (- (+ x (/ x (pow y 2))) (/ x y)) y) |
(/ (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) y) |
y |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
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 |
(+ x (* -1 (/ (- x 1) y))) |
(+ x (* -1 (/ (- x 1) y))) |
(+ x (* -1 (/ (- x 1) y))) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
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 (- x 1)) |
(* -1 (* y (- (* -1 (- x 1)) (/ 1 y)))) |
(* -1 (* y (- (* -1 (- x 1)) (/ 1 y)))) |
(* -1 (* y (- (* -1 (- x 1)) (/ 1 y)))) |
(* -1 y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
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) |
(- (+ 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) |
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 |
(+ x (* -1 (/ x y))) |
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) |
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y))) |
1 |
(- 1 (/ 1 y)) |
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y))) |
(* -1 (pow y 2)) |
(* (pow y 2) (- (/ 1 y) 1)) |
(* (pow y 2) (- (/ 1 y) 1)) |
(* (pow y 2) (- (/ 1 y) 1)) |
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 |
(+ x (* -1 (/ x y))) |
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) |
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y))) |
(/ x y) |
(* -1 (/ (+ (* -1 x) (/ x y)) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x y) x) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x y) x) y)) x) y))) y)) |
y |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -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))) |
(/ 1 y) |
(+ (* x (- 1 (/ 1 y))) (/ 1 y)) |
(+ (* x (- 1 (/ 1 y))) (/ 1 y)) |
(+ (* x (- 1 (/ 1 y))) (/ 1 y)) |
(/ -1 y) |
(- (/ x y) (/ 1 y)) |
(- (/ x y) (/ 1 y)) |
(- (/ x y) (/ 1 y)) |
-1 |
(- x 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))) |
(+ 1 (* -1 y)) |
(+ 1 (+ (* -1 y) (* x y))) |
(+ 1 (+ (* -1 y) (* x y))) |
(+ 1 (+ (* -1 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))) |
(/ 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 |
(+ 1 (* -1 x)) |
(+ 1 (* -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 y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 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 y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x (+ 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 (- 1 (/ 1 y))) |
(* x (- (+ 1 (/ 1 (* x y))) (/ 1 y))) |
(* x (- (+ 1 (/ 1 (* x y))) (/ 1 y))) |
(* x (- (+ 1 (/ 1 (* 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 |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(/ (* 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) |
(* x (+ y (+ (* -1 (/ y x)) (/ 1 x)))) |
(* x (+ y (+ (* -1 (/ y x)) (/ 1 x)))) |
(* x (+ y (+ (* -1 (/ y x)) (/ 1 x)))) |
(/ (* 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)))))) |
(* -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) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(/ (* 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)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x 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)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x (+ 1 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 (* x (- (/ 1 y) 1))) |
(* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y)))))) |
(* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y)))))) |
(* -1 (* x (- (/ 1 y) (+ 1 (/ 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 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(/ (* 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))))) |
(* 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))))) |
(/ (* 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 (/ (* 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))))) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(/ (* 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))))) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x 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 (* x (- (* -1 (/ (- 1 (/ 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 y)) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* y (- x 1))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(+ 1 (* y (- (+ x (* y (- 1 x))) 1))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y #s(literal 1 binary64)) |
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) |
(fma.f64 (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) y (-.f64 x #s(literal 1 binary64))) y #s(literal 1 binary64)) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- (+ 1 (* x y)) x) y) |
(/.f64 (-.f64 (fma.f64 x y #s(literal 1 binary64)) x) y) |
(/ (- (+ 1 (* x y)) x) y) |
(/.f64 (-.f64 (fma.f64 x y #s(literal 1 binary64)) x) y) |
(/ (- (+ 1 (* x y)) x) y) |
(/.f64 (-.f64 (fma.f64 x y #s(literal 1 binary64)) x) y) |
(/ (- x 1) y) |
(/.f64 (-.f64 x #s(literal 1 binary64)) y) |
(/ (- x 1) y) |
(/.f64 (-.f64 x #s(literal 1 binary64)) y) |
(/ (- x 1) y) |
(/.f64 (-.f64 x #s(literal 1 binary64)) y) |
(/ (- x 1) y) |
(/.f64 (-.f64 x #s(literal 1 binary64)) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* y (- x 1))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(+ 1 (* y (- (+ x (* y (- 1 x))) 1))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y #s(literal 1 binary64)) |
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) |
(fma.f64 (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) y (-.f64 x #s(literal 1 binary64))) y #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* y (- x 1))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(+ 1 (* y (- x 1))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(+ 1 (* y (- x 1))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* y (- x 1))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(+ 1 (* y (- (+ x (* y (- 1 x))) 1))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y #s(literal 1 binary64)) |
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) |
(fma.f64 (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) y (-.f64 x #s(literal 1 binary64))) y #s(literal 1 binary64)) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* y (- (+ 1 (* y (- x 1))) x)) |
(*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) y) |
(* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)) |
(*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y) |
(* y (- (+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) x)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) y (-.f64 x #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* y (- x 1))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(+ 1 (* y (- (+ x (* y (- 1 x))) 1))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y #s(literal 1 binary64)) |
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) |
(fma.f64 (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) y (-.f64 x #s(literal 1 binary64))) y #s(literal 1 binary64)) |
(* x y) |
(*.f64 x y) |
(* y (+ x (* -1 (* x y)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* y (+ x (* y (- (* x y) x)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 x y) x) y x) y) |
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) x) y x) y) |
y |
(* y (+ 1 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) y) |
(* y (+ 1 (* y (- y 1)))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y) |
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) y #s(literal 1 binary64)) y) |
y |
(* y (+ 1 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) y) |
(* y (+ 1 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) y) |
(* y (+ 1 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* y (- x 1))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(+ 1 (* y (- (+ x (* y (- 1 x))) 1))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y #s(literal 1 binary64)) |
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) |
(fma.f64 (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) y (-.f64 x #s(literal 1 binary64))) y #s(literal 1 binary64)) |
(* x y) |
(*.f64 x y) |
(* y (+ x (* -1 (* x y)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* y (+ x (* y (- (* x y) x)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 x y) x) y x) y) |
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) x) y x) y) |
x |
(+ x (* -1 (* x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(+ x (* y (- (* x y) x))) |
(fma.f64 (-.f64 (*.f64 x y) x) y x) |
(+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))) |
(fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) x) y x) |
1 |
#s(literal 1 binary64) |
(+ 1 y) |
(+.f64 y #s(literal 1 binary64)) |
(+ 1 y) |
(+.f64 y #s(literal 1 binary64)) |
(+ 1 y) |
(+.f64 y #s(literal 1 binary64)) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
x |
(- (+ x (/ 1 y)) (/ x y)) |
(-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)) |
(- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) 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 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64))))) |
x |
(- (+ x (/ 1 y)) (/ x y)) |
(-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)) |
(- (+ x (/ 1 y)) (/ x y)) |
(-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)) |
(- (+ x (/ 1 y)) (/ x y)) |
(-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)) |
(/ (- x 1) y) |
(/.f64 (-.f64 x #s(literal 1 binary64)) y) |
(/ (- x 1) y) |
(/.f64 (-.f64 x #s(literal 1 binary64)) y) |
(/ (- x 1) y) |
(/.f64 (-.f64 x #s(literal 1 binary64)) y) |
(/ (- x 1) y) |
(/.f64 (-.f64 x #s(literal 1 binary64)) y) |
x |
(- (+ x (/ 1 y)) (/ x y)) |
(-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)) |
(- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) 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 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64))))) |
(* y (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) y) |
(* y (- (+ x (/ 1 y)) 1)) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* y (- (+ x (/ 1 y)) 1)) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* y (- (+ x (/ 1 y)) 1)) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
x |
(- (+ x (/ 1 y)) (/ x y)) |
(-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)) |
(- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) 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 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64))))) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
(- (+ 1 (/ x y)) (+ x (/ 1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ x (+ (/ 1 y) (/ x (pow y 2))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #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)))))) |
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(* x (- 1 (/ 1 x))) |
(-.f64 x #s(literal 1 binary64)) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.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 y #s(literal 1 binary64))) (-.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 y #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* x y) |
(*.f64 x y) |
(* x (+ y (+ (* -1 (/ y x)) (/ 1 x)))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* x (+ y (+ (* -1 (/ y x)) (/ 1 x)))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* x (+ y (+ (* -1 (/ y x)) (/ 1 x)))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.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 y #s(literal 1 binary64))) (-.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 y #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* -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 #s(literal 1 binary64) x) (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(* -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) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.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 y #s(literal 1 binary64))) (-.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 y #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.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 y #s(literal 1 binary64))) (-.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 y #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 y #s(literal 1 binary64))) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 y #s(literal 1 binary64))) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 y #s(literal 1 binary64))) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 y #s(literal 1 binary64))) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.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 y #s(literal 1 binary64))) (-.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 y #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* -1 (* x (- (/ 1 y) 1))) |
(-.f64 x (/.f64 x y)) |
(* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y)))))) |
(-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)) |
(* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y)))))) |
(-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)) |
(* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y)))))) |
(-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)) |
(/ x y) |
(/.f64 x y) |
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) |
(/.f64 (-.f64 x #s(literal 1 binary64)) y) |
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) |
(/.f64 (-.f64 x #s(literal 1 binary64)) y) |
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) |
(/.f64 (-.f64 x #s(literal 1 binary64)) y) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(-.f64 x #s(literal 1 binary64)) |
(* -1 (* x (- (/ 1 x) 1))) |
(-.f64 x #s(literal 1 binary64)) |
(* -1 (* x (- (/ 1 x) 1))) |
(-.f64 x #s(literal 1 binary64)) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.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 y #s(literal 1 binary64))) (-.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 y #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* x y) |
(*.f64 x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 (* -1 y)) x))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 (* -1 y)) x))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 (* -1 y)) x))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.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 y #s(literal 1 binary64))) (-.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 y #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* -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 #s(literal 1 binary64) x) (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(* -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) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.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 y #s(literal 1 binary64))) (-.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 y #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.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 y #s(literal 1 binary64))) (-.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 y #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 y #s(literal 1 binary64))) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 y #s(literal 1 binary64))) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 y #s(literal 1 binary64))) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 y #s(literal 1 binary64))) |
| 5 052× | lower-*.f32 |
| 5 048× | lower-*.f64 |
| 4 940× | lower-/.f32 |
| 4 936× | lower-/.f64 |
| 4 226× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 192 |
| 0 | 44 | 192 |
| 1 | 186 | 192 |
| 2 | 1499 | 192 |
| 0 | 8786 | 190 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))) |
(-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)) |
(/.f64 (-.f64 x #s(literal 1 binary64)) y) |
(-.f64 x #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y))) |
#s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) y) |
(-.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))) (*.f64 #s(approx (/ y (+ y 1)) (fma.f64 (neg.f64 y) y y)) x)) |
(*.f64 #s(approx (/ y (+ y 1)) (fma.f64 (neg.f64 y) y y)) x) |
#s(approx (/ y (+ y 1)) (fma.f64 (neg.f64 y) y y)) |
(fma.f64 (neg.f64 y) y y) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 y (/.f64 x (+.f64 y #s(literal 1 binary64))))) |
(*.f64 y (/.f64 x (+.f64 y #s(literal 1 binary64)))) |
(/.f64 x (+.f64 y #s(literal 1 binary64))) |
(+.f64 y #s(literal 1 binary64)) |
(neg.f64 y) |
| Outputs |
|---|
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 2 binary64))) (pow.f64 (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) x) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 3 binary64))) (pow.f64 (+.f64 (hypot.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) x)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) x) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (hypot.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (+.f64 (pow.f64 (-.f64 x (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 y #s(literal -3 binary64))) (fma.f64 (-.f64 x (/.f64 x y)) (-.f64 x (/.f64 x y)) (-.f64 (pow.f64 y #s(literal -2 binary64)) (*.f64 (-.f64 x (/.f64 x y)) (pow.f64 y #s(literal -1 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (hypot.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) x)) (*.f64 (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) x) (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 2 binary64)))) (*.f64 (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) x) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) x))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (hypot.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) x))) (*.f64 (+.f64 (hypot.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) x)) (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 3 binary64)))) (*.f64 (+.f64 (hypot.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) x)) (+.f64 (hypot.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 2 binary64)) (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 3 binary64)))) (neg.f64 (+.f64 (hypot.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) x)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 2 binary64))) (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 2 binary64))) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) x) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (hypot.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 3 binary64)))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 2 binary64)) (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) x) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 2 binary64))))) |
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(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 y) y)) (neg.f64 (+.f64 #s(literal 0 binary64) y))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))) |
(/.f64 (*.f64 (neg.f64 y) y) (+.f64 #s(literal 0 binary64) y)) |
(neg.f64 y) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) y)) (/.f64 (*.f64 y y) (+.f64 #s(literal 0 binary64) y))) |
(-.f64 #s(literal 0 binary64) y) |
(+.f64 #s(literal 0 binary64) (neg.f64 y)) |
Compiled 10 155 to 1 913 computations (81.2% saved)
18 alts after pruning (13 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 740 | 7 | 747 |
| Fresh | 3 | 6 | 9 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 745 | 18 | 763 |
| Status | Accuracy | Program |
|---|---|---|
| 39.0% | (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64))))) | |
| 3.1% | (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (- 1 x) #s(literal 1 binary64)))) | |
| 53.3% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) x)) | |
| ✓ | 47.3% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))) |
| 38.4% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (-.f64 y #s(literal 1 binary64))) y #s(literal 1 binary64))) | |
| 53.5% | #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 x #s(literal 1 binary64))) y))) | |
| ▶ | 53.9% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y))) |
| 41.0% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x #s(approx (/ (- x 1) y) (/.f64 x y)))) | |
| ✓ | 11.4% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) (fma.f64 (neg.f64 y) y y)) x)) |
| ▶ | 12.0% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y)) x)) |
| ▶ | 41.2% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x)) |
| ✓ | 46.5% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 y (/.f64 x (+.f64 y #s(literal 1 binary64))))) |
| 15.9% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (- x 1) y)) (/.f64 #s(literal 1 binary64) y))) | |
| ✓ | 38.3% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y))) |
| 11.8% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.f64 x y))) | |
| ▶ | 3.3% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) #s(approx (- 1 y) (neg.f64 y)))) |
| ▶ | 11.4% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (* (- 1 x) (+ -1 y)) y) 1) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)))) |
| ✓ | 38.6% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
Compiled 247 to 222 computations (10.1% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y) | |
| cost-diff | 0 | #s(approx (/ y (+ y 1)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y)) | |
| cost-diff | 0 | (*.f64 #s(approx (/ y (+ y 1)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y)) x) | |
| cost-diff | 0 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y)) x)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)) | |
| cost-diff | 0 | #s(approx (+ (* (* (- 1 x) (+ -1 y)) y) 1) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y))) | |
| cost-diff | 0 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (* (- 1 x) (+ -1 y)) y) 1) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)))) | |
| cost-diff | 0 | #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x) | |
| cost-diff | 0 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x)) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | #s(approx (- 1 y) (neg.f64 y)) | |
| cost-diff | 0 | #s(approx (+ (* (- x 1) y) 1) #s(approx (- 1 y) (neg.f64 y))) | |
| cost-diff | 0 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) #s(approx (- 1 y) (neg.f64 y)))) | |
| cost-diff | 0 | #s(approx (- x 1) #s(literal -1 binary64)) | |
| cost-diff | 0 | (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y) | |
| cost-diff | 0 | (-.f64 x (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y)) | |
| cost-diff | 0 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y))) |
| 7 808× | lower-fma.f32 |
| 7 806× | lower-fma.f64 |
| 1 592× | lower-*.f32 |
| 1 582× | lower-*.f64 |
| 1 514× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 277 |
| 0 | 52 | 277 |
| 1 | 92 | 277 |
| 2 | 180 | 277 |
| 3 | 409 | 277 |
| 4 | 1125 | 277 |
| 5 | 2880 | 277 |
| 6 | 4498 | 277 |
| 7 | 5378 | 277 |
| 8 | 5660 | 277 |
| 9 | 5869 | 277 |
| 10 | 5905 | 277 |
| 11 | 5953 | 277 |
| 12 | 6028 | 277 |
| 13 | 6156 | 277 |
| 14 | 6200 | 277 |
| 15 | 6200 | 277 |
| 16 | 6704 | 277 |
| 17 | 6880 | 277 |
| 18 | 6880 | 277 |
| 19 | 6880 | 277 |
| 20 | 6880 | 277 |
| 0 | 6880 | 268 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y))) |
(-.f64 x (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y)) |
x |
(/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y) |
#s(approx (- x 1) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
y |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) #s(approx (- 1 y) (neg.f64 y)))) |
#s(approx (+ (* (- x 1) y) 1) #s(approx (- 1 y) (neg.f64 y))) |
#s(approx (- 1 y) (neg.f64 y)) |
(neg.f64 y) |
y |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x)) |
(*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x) |
#s(approx (/ y (+ y 1)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
x |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (* (- 1 x) (+ -1 y)) y) 1) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)))) |
#s(approx (+ (* (* (- 1 x) (+ -1 y)) y) 1) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(*.f64 x y) |
x |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y)) x)) |
(*.f64 #s(approx (/ y (+ y 1)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y)) x) |
#s(approx (/ y (+ y 1)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y)) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(-.f64 y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
x |
| Outputs |
|---|
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y))) |
(-.f64 x (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y)) |
x |
(/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y) |
#s(approx (- x 1) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
y |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) #s(approx (- 1 y) (neg.f64 y)))) |
#s(approx (+ (* (- x 1) y) 1) #s(approx (- 1 y) (neg.f64 y))) |
#s(approx (- 1 y) (neg.f64 y)) |
(neg.f64 y) |
y |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x)) |
(*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x) |
#s(approx (/ y (+ y 1)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
x |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (* (- 1 x) (+ -1 y)) y) 1) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (* (- 1 x) (+ -1 y)) y) 1) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x))) |
#s(approx (+ (* (* (- 1 x) (+ -1 y)) y) 1) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y))) |
#s(approx (+ (* (* (- 1 x) (+ -1 y)) y) 1) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(*.f64 x y) |
(*.f64 y x) |
x |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y)) x)) |
(*.f64 #s(approx (/ y (+ y 1)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y)) x) |
#s(approx (/ y (+ y 1)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y)) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(-.f64 y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
x |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.01171875 | (*.f64 #s(approx (/ y (+ y 1)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y)) x) | |
| accuracy | 0.04296875 | (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y) | |
| accuracy | 31.566817678812562 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y)) x)) | |
| accuracy | 33.276724755630546 | #s(approx (/ y (+ y 1)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y)) | |
| accuracy | 0 | (*.f64 x y) | |
| accuracy | 0.08984375 | (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)) | |
| accuracy | 33.5842433838922 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (* (- 1 x) (+ -1 y)) y) 1) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)))) | |
| accuracy | 37.47058231024761 | #s(approx (+ (* (* (- 1 x) (+ -1 y)) y) 1) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y))) | |
| accuracy | 0.01171875 | (*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x) | |
| accuracy | 29.319016262708093 | #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) | |
| accuracy | 31.566817678812562 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x)) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 22.72740813000234 | #s(approx (+ (* (- x 1) y) 1) #s(approx (- 1 y) (neg.f64 y))) | |
| accuracy | 29.412423504297607 | #s(approx (- 1 y) (neg.f64 y)) | |
| accuracy | 33.69604034618028 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) #s(approx (- 1 y) (neg.f64 y)))) | |
| accuracy | 0 | (-.f64 x (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y)) | |
| accuracy | 0.00390625 | (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y) | |
| accuracy | 29.65376957944166 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y))) | |
| accuracy | 30.096753898750404 | #s(approx (- x 1) #s(literal -1 binary64)) |
| 118.0ms | 189× | 0 | valid |
| 24.0ms | 60× | 1 | valid |
| 4.0ms | 7× | 2 | valid |
Compiled 163 to 30 computations (81.6% saved)
ival-add: 36.0ms (44.6% of total)ival-mult: 16.0ms (19.8% of total)ival-sub: 15.0ms (18.6% of total)ival-div: 6.0ms (7.4% of total)adjust: 5.0ms (6.2% of total)ival-neg: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y))) #<representation:binary64>) () ()) |
#s(alt (-.f64 x (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y)) (patch (-.f64 x (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y)) #<representation:binary64>) () ()) |
#s(alt (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y) (patch (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y) #<representation:binary64>) () ()) |
#s(alt #s(approx (- x 1) #s(literal -1 binary64)) (patch #s(approx (- x 1) #s(literal -1 binary64)) #<representation:binary64>) () ()) |
#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) #s(approx (- 1 y) (neg.f64 y)))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) #s(approx (- 1 y) (neg.f64 y)))) #<representation:binary64>) () ()) |
#s(alt #s(approx (+ (* (- x 1) y) 1) #s(approx (- 1 y) (neg.f64 y))) (patch #s(approx (+ (* (- x 1) y) 1) #s(approx (- 1 y) (neg.f64 y))) #<representation:binary64>) () ()) |
#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation:binary64>) () ()) |
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation:binary64>) () ()) |
#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x)) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x)) #<representation:binary64>) () ()) |
#s(alt (*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x) #<representation:binary64>) () ()) |
#s(alt #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) (patch #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) #<representation:binary64>) () ()) |
#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (* (- 1 x) (+ -1 y)) y) 1) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (* (- 1 x) (+ -1 y)) y) 1) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)))) #<representation:binary64>) () ()) |
#s(alt #s(approx (+ (* (* (- 1 x) (+ -1 y)) y) 1) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y))) (patch #s(approx (+ (* (* (- 1 x) (+ -1 y)) y) 1) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y))) #<representation:binary64>) () ()) |
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x 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))) (*.f64 #s(approx (/ y (+ y 1)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y)) x)) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y)) x)) #<representation:binary64>) () ()) |
#s(alt (*.f64 #s(approx (/ y (+ y 1)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y)) x) (patch (*.f64 #s(approx (/ y (+ y 1)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y)) x) #<representation:binary64>) () ()) |
#s(alt #s(approx (/ y (+ y 1)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y)) (patch #s(approx (/ y (+ y 1)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y)) #<representation:binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y) (patch (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y) #<representation:binary64>) () ()) |
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation:binary64>) () ()) |
| Outputs |
|---|
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y))) #<representation:binary64>) () ())) ()) |
#s(alt (+ 1 (* y (- x 1))) (taylor 0 y) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y))) #<representation:binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt #s(approx (- x 1) #s(literal -1 binary64)) (patch #s(approx (- x 1) #s(literal -1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) #s(approx (- 1 y) (neg.f64 y)))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) #s(approx (- 1 y) (neg.f64 y)))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) #s(approx (- 1 y) (neg.f64 y)))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) #s(approx (- 1 y) (neg.f64 y)))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) #s(approx (- 1 y) (neg.f64 y)))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) #s(approx (- 1 y) (neg.f64 y)))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) #s(approx (- 1 y) (neg.f64 y)))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) #s(approx (- 1 y) (neg.f64 y)))) #<representation:binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt #s(approx (+ (* (- x 1) y) 1) #s(approx (- 1 y) (neg.f64 y))) (patch #s(approx (+ (* (- x 1) y) 1) #s(approx (- 1 y) (neg.f64 y))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 (* -1 y)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* (- x 1) y) 1) #s(approx (- 1 y) (neg.f64 y))) (patch #s(approx (+ (* (- x 1) y) 1) #s(approx (- 1 y) (neg.f64 y))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 (* -1 y)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* (- x 1) y) 1) #s(approx (- 1 y) (neg.f64 y))) (patch #s(approx (+ (* (- x 1) y) 1) #s(approx (- 1 y) (neg.f64 y))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 (* -1 y)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* (- x 1) y) 1) #s(approx (- 1 y) (neg.f64 y))) (patch #s(approx (+ (* (- x 1) y) 1) #s(approx (- 1 y) (neg.f64 y))) #<representation:binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x)) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x)) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x)) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x)) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x) #<representation:binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x) #<representation:binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x) #<representation:binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x) #<representation:binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (* (- 1 x) (+ -1 y)) y) 1) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (* (- 1 x) (+ -1 y)) y) 1) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (* (- 1 x) (+ -1 y)) y) 1) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (* (- 1 x) (+ -1 y)) y) 1) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (* (- 1 x) (+ -1 y)) y) 1) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (* (- 1 x) (+ -1 y)) y) 1) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (* (- 1 x) (+ -1 y)) y) 1) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (* (- 1 x) (+ -1 y)) y) 1) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (* y (- y 1)))) (taylor -inf x) (#s(alt #s(approx (+ (* (* (- 1 x) (+ -1 y)) y) 1) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y))) (patch #s(approx (+ (* (* (- 1 x) (+ -1 y)) y) 1) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1))))) (taylor -inf x) (#s(alt #s(approx (+ (* (* (- 1 x) (+ -1 y)) y) 1) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y))) (patch #s(approx (+ (* (* (- 1 x) (+ -1 y)) y) 1) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1))))) (taylor -inf x) (#s(alt #s(approx (+ (* (* (- 1 x) (+ -1 y)) y) 1) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y))) (patch #s(approx (+ (* (* (- 1 x) (+ -1 y)) y) 1) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1))))) (taylor -inf x) (#s(alt #s(approx (+ (* (* (- 1 x) (+ -1 y)) y) 1) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y))) (patch #s(approx (+ (* (* (- 1 x) (+ -1 y)) y) 1) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y))) #<representation:binary64>) () ())) ()) |
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)) #<representation:binary64>) () ())) ()) |
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)) #<representation:binary64>) () ())) ()) |
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)) #<representation:binary64>) () ())) ()) |
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y)) x)) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y)) x)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y)) x)) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y)) x)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y)) x)) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y)) x)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y)) x)) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y)) x)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (/ y (+ y 1)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y)) x) (patch (*.f64 #s(approx (/ y (+ y 1)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y)) x) #<representation:binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (/ y (+ y 1)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y)) x) (patch (*.f64 #s(approx (/ y (+ y 1)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y)) x) #<representation:binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (/ y (+ y 1)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y)) x) (patch (*.f64 #s(approx (/ y (+ y 1)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y)) x) #<representation:binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (/ y (+ y 1)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y)) x) (patch (*.f64 #s(approx (/ y (+ y 1)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y)) x) #<representation:binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation:binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation:binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation:binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation:binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | x | @ | 0 | ((- 1 (/ (* (- 1 x) y) (+ y 1))) (- x (/ (- x 1) y)) (/ (- x 1) y) (- x 1) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (- x 1) y) 1) (- 1 y) (neg y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (* (/ y (+ y 1)) x) (/ y (+ y 1)) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (* (- 1 x) (+ -1 y)) y) 1) (* (- 1 y) (* x y)) (- 1 y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (* (/ y (+ y 1)) x) (/ y (+ y 1)) (* (+ (* (- y 1) y) 1) y) (* x y)) |
| 4.0ms | y | @ | 0 | ((- 1 (/ (* (- 1 x) y) (+ y 1))) (- x (/ (- x 1) y)) (/ (- x 1) y) (- x 1) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (- x 1) y) 1) (- 1 y) (neg y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (* (/ y (+ y 1)) x) (/ y (+ y 1)) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (* (- 1 x) (+ -1 y)) y) 1) (* (- 1 y) (* x y)) (- 1 y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (* (/ y (+ y 1)) x) (/ y (+ y 1)) (* (+ (* (- y 1) y) 1) y) (* x y)) |
| 2.0ms | x | @ | -inf | ((- 1 (/ (* (- 1 x) y) (+ y 1))) (- x (/ (- x 1) y)) (/ (- x 1) y) (- x 1) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (- x 1) y) 1) (- 1 y) (neg y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (* (/ y (+ y 1)) x) (/ y (+ y 1)) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (* (- 1 x) (+ -1 y)) y) 1) (* (- 1 y) (* x y)) (- 1 y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (* (/ y (+ y 1)) x) (/ y (+ y 1)) (* (+ (* (- y 1) y) 1) y) (* x y)) |
| 2.0ms | x | @ | inf | ((- 1 (/ (* (- 1 x) y) (+ y 1))) (- x (/ (- x 1) y)) (/ (- x 1) y) (- x 1) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (- x 1) y) 1) (- 1 y) (neg y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (* (/ y (+ y 1)) x) (/ y (+ y 1)) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (* (- 1 x) (+ -1 y)) y) 1) (* (- 1 y) (* x y)) (- 1 y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (* (/ y (+ y 1)) x) (/ y (+ y 1)) (* (+ (* (- y 1) y) 1) y) (* x y)) |
| 2.0ms | y | @ | -inf | ((- 1 (/ (* (- 1 x) y) (+ y 1))) (- x (/ (- x 1) y)) (/ (- x 1) y) (- x 1) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (- x 1) y) 1) (- 1 y) (neg y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (* (/ y (+ y 1)) x) (/ y (+ y 1)) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (* (- 1 x) (+ -1 y)) y) 1) (* (- 1 y) (* x y)) (- 1 y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (* (/ y (+ y 1)) x) (/ y (+ y 1)) (* (+ (* (- y 1) y) 1) y) (* x y)) |
| 1× | egg-herbie |
| 16 966× | lower-fma.f64 |
| 16 966× | lower-fma.f32 |
| 3 610× | lower--.f64 |
| 3 610× | lower--.f32 |
| 3 370× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 223 | 3475 |
| 1 | 685 | 3253 |
| 2 | 1918 | 3062 |
| 3 | 7070 | 3040 |
| 0 | 8335 | 2876 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* y (- x 1))) |
(+ 1 (* y (- (+ x (* y (- 1 x))) 1))) |
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) |
(/ (- 1 x) y) |
(/ (- (+ 1 (* x y)) x) y) |
(/ (- (+ 1 (* x y)) x) y) |
(/ (- (+ 1 (* x y)) x) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
1 |
(+ 1 (* y (- x 1))) |
(+ 1 (* y (- (+ x (* y (- 1 x))) 1))) |
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) |
1 |
(+ 1 (* y (- x 1))) |
(+ 1 (* y (- x 1))) |
(+ 1 (* y (- x 1))) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(* -1 y) |
(* -1 y) |
(* -1 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 y) |
(* y (+ x (* -1 (* x y)))) |
(* y (+ x (* y (- (* x y) x)))) |
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))) |
y |
(* y (+ 1 (* -1 y))) |
(* y (+ 1 (* y (- y 1)))) |
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))) |
1 |
(+ 1 (* y (- x 1))) |
(+ 1 (* y (- (+ x (* y (- 1 x))) 1))) |
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) |
1 |
(+ 1 (* -1 (* y (- 1 x)))) |
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x))))) |
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x))))) |
(* x y) |
(* y (+ x (* -1 (* x y)))) |
(* y (+ x (* -1 (* x y)))) |
(* y (+ x (* -1 (* x y)))) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(+ 1 (* -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 y) |
(* y (+ x (* -1 (* x y)))) |
(* y (+ x (* y (- (* x y) x)))) |
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))) |
y |
(* y (+ 1 (* -1 y))) |
(* y (+ 1 (* y (- y 1)))) |
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))) |
y |
(* y (+ 1 (* -1 y))) |
(* y (+ 1 (* y (- y 1)))) |
(* y (+ 1 (* y (- y 1)))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
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 y)) (/ x y)) |
(- (+ x (/ 1 y)) (/ x y)) |
(- (+ x (/ 1 y)) (/ x y)) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
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)))))) |
(* y (- x 1)) |
(* y (- (+ x (/ 1 y)) 1)) |
(* y (- (+ x (/ 1 y)) 1)) |
(* y (- (+ x (/ 1 y)) 1)) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
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 y))) |
(- (+ x (/ x (pow y 2))) (/ x y)) |
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) |
1 |
(- 1 (/ 1 y)) |
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) |
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) |
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)))))) |
(* (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)) |
(* -1 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 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 y))) |
(- (+ x (/ x (pow y 2))) (/ x y)) |
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) |
1 |
(- 1 (/ 1 y)) |
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) |
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) |
(pow y 3) |
(* (pow y 3) (- 1 (/ 1 y))) |
(* (pow y 3) (- (+ 1 (/ 1 (pow y 2))) (/ 1 y))) |
(* (pow y 3) (- (+ 1 (/ 1 (pow y 2))) (/ 1 y))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
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 |
(+ x (* -1 (/ (- x 1) y))) |
(+ x (* -1 (/ (- x 1) y))) |
(+ x (* -1 (/ (- x 1) y))) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
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 (- x 1)) |
(* -1 (* y (- (* -1 (- x 1)) (/ 1 y)))) |
(* -1 (* y (- (* -1 (- x 1)) (/ 1 y)))) |
(* -1 (* y (- (* -1 (- x 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 y) |
(* -1 y) |
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 |
(+ x (* -1 (/ x y))) |
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) |
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y))) |
1 |
(- 1 (/ 1 y)) |
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y))) |
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))) |
(* (pow y 2) (- 1 x)) |
(* (pow y 2) (- (+ 1 (* -1 (/ (- 1 x) y))) x)) |
(* (pow y 2) (- (+ 1 (* -1 (/ (- 1 (+ x (/ 1 y))) y))) x)) |
(* (pow y 2) (- (+ 1 (* -1 (/ (- 1 (+ x (/ 1 y))) y))) x)) |
(* -1 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* -1 y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
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 |
(+ x (* -1 (/ x y))) |
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) |
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y))) |
1 |
(- 1 (/ 1 y)) |
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y))) |
(pow y 3) |
(* -1 (* (pow y 3) (- (/ 1 y) 1))) |
(* -1 (* (pow y 3) (- (* -1 (/ (- (/ 1 y) 1) y)) 1))) |
(* -1 (* (pow y 3) (- (* -1 (/ (- (/ 1 y) 1) y)) 1))) |
(* 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))) |
(/ 1 y) |
(+ (* x (- 1 (/ 1 y))) (/ 1 y)) |
(+ (* x (- 1 (/ 1 y))) (/ 1 y)) |
(+ (* x (- 1 (/ 1 y))) (/ 1 y)) |
(/ -1 y) |
(- (/ x y) (/ 1 y)) |
(- (/ x y) (/ 1 y)) |
(- (/ x y) (/ 1 y)) |
-1 |
(- x 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))) |
(+ 1 (* -1 y)) |
(+ 1 (+ (* -1 y) (* x y))) |
(+ 1 (+ (* -1 y) (* x y))) |
(+ 1 (+ (* -1 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 y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 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))) |
(+ 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)))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 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 y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(* x y) |
(* x y) |
(* x y) |
(* x 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 (- 1 (/ 1 y))) |
(* x (- (+ 1 (/ 1 (* x y))) (/ 1 y))) |
(* x (- (+ 1 (/ 1 (* x y))) (/ 1 y))) |
(* x (- (+ 1 (/ 1 (* 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 |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(/ (* 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) |
(* x (+ y (+ (* -1 (/ y x)) (/ 1 x)))) |
(* x (+ y (+ (* -1 (/ y x)) (/ 1 x)))) |
(* x (+ y (+ (* -1 (/ y x)) (/ 1 x)))) |
(/ (* 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)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x 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)))))) |
(* -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)))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* 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)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(* x y) |
(* x y) |
(* x y) |
(* x 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 (* x (- (/ 1 y) 1))) |
(* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y)))))) |
(* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y)))))) |
(* -1 (* x (- (/ 1 y) (+ 1 (/ 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 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(/ (* 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))))) |
(* 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))))) |
(/ (* 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))))) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x 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 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 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))))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1))))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* 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 (* x (- (* -1 (/ (- 1 (/ 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) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* y (- x 1))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(+ 1 (* y (- (+ x (* y (- 1 x))) 1))) |
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) |
(fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x)) y (-.f64 x #s(literal 1 binary64))) y #s(literal 1 binary64)) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- (+ 1 (* x y)) x) y) |
(/.f64 (fma.f64 x y (-.f64 #s(literal 1 binary64) x)) y) |
(/ (- (+ 1 (* x y)) x) y) |
(/.f64 (fma.f64 x y (-.f64 #s(literal 1 binary64) x)) y) |
(/ (- (+ 1 (* x y)) x) y) |
(/.f64 (fma.f64 x y (-.f64 #s(literal 1 binary64) x)) y) |
(/ (- x 1) y) |
(/.f64 (-.f64 x #s(literal 1 binary64)) y) |
(/ (- x 1) y) |
(/.f64 (-.f64 x #s(literal 1 binary64)) y) |
(/ (- x 1) y) |
(/.f64 (-.f64 x #s(literal 1 binary64)) y) |
(/ (- x 1) y) |
(/.f64 (-.f64 x #s(literal 1 binary64)) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* y (- x 1))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(+ 1 (* y (- (+ x (* y (- 1 x))) 1))) |
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) |
(fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x)) y (-.f64 x #s(literal 1 binary64))) y #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* y (- x 1))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(+ 1 (* y (- x 1))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(+ 1 (* y (- x 1))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* y (- x 1))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(+ 1 (* y (- (+ x (* y (- 1 x))) 1))) |
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) |
(fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x)) y (-.f64 x #s(literal 1 binary64))) y #s(literal 1 binary64)) |
(* x y) |
(*.f64 x y) |
(* y (+ x (* -1 (* x y)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(* y (+ x (* y (- (* x y) x)))) |
(*.f64 (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) x) y) |
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x) y x) y) |
y |
(* y (+ 1 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) y) |
(* y (+ 1 (* y (- y 1)))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y) |
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) y #s(literal 1 binary64)) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* y (- x 1))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(+ 1 (* y (- (+ x (* y (- 1 x))) 1))) |
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) |
(fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x)) y (-.f64 x #s(literal 1 binary64))) y #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* y (- 1 x)))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x))))) |
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x))))) |
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(* x y) |
(*.f64 x y) |
(* y (+ x (* -1 (* x y)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(* y (+ x (* -1 (* x y)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(* y (+ x (* -1 (* x y)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* y (- x 1))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(+ 1 (* y (- (+ x (* y (- 1 x))) 1))) |
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) |
(fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x)) y (-.f64 x #s(literal 1 binary64))) y #s(literal 1 binary64)) |
(* x y) |
(*.f64 x y) |
(* y (+ x (* -1 (* x y)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(* y (+ x (* y (- (* x y) x)))) |
(*.f64 (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) x) y) |
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x) y x) y) |
y |
(* y (+ 1 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) y) |
(* y (+ 1 (* y (- y 1)))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y) |
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) y #s(literal 1 binary64)) y) |
y |
(* y (+ 1 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) y) |
(* y (+ 1 (* y (- y 1)))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y) |
(* y (+ 1 (* y (- y 1)))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
x |
(- (+ x (/ 1 y)) (/ x y)) |
(-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)) |
(- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 #s(literal 1 binary64) x) 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 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (-.f64 (/.f64 (-.f64 (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64)) x) y) (/.f64 x (pow.f64 y #s(literal 3 binary64))))) |
x |
(- (+ x (/ 1 y)) (/ x y)) |
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(- (+ x (/ 1 y)) (/ x y)) |
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(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x) |
(- 1 (/ y (+ 1 y))) |
(-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* y (- y 1))) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (* x (* y (- y 1)))) (* y (- y 1)))) |
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (* x (* y (- y 1)))) (* y (- y 1)))) |
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (* x (* y (- y 1)))) (* y (- y 1)))) |
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(* x (* y (- 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(* x (* y (- 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(* x (* y (- 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(* x (* y (- 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(- 1 (/ y (+ 1 y))) |
(-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(fma.f64 (-.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 y (fma.f64 x y x))) x #s(literal 1 binary64)) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(fma.f64 (-.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 y (fma.f64 x y x))) x #s(literal 1 binary64)) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(fma.f64 (-.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 y (fma.f64 x y x))) x #s(literal 1 binary64)) |
(* x (- 1 (/ 1 y))) |
(-.f64 x (/.f64 x y)) |
(* x (- (+ 1 (/ 1 (* x y))) (/ 1 y))) |
(-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)) |
(* x (- (+ 1 (/ 1 (* x y))) (/ 1 y))) |
(-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)) |
(* x (- (+ 1 (/ 1 (* x y))) (/ 1 y))) |
(-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)) |
(/ x y) |
(/.f64 x y) |
(* x (- (/ 1 y) (/ 1 (* x y)))) |
(/.f64 (-.f64 x #s(literal 1 binary64)) y) |
(* x (- (/ 1 y) (/ 1 (* x y)))) |
(/.f64 (-.f64 x #s(literal 1 binary64)) y) |
(* x (- (/ 1 y) (/ 1 (* x y)))) |
(/.f64 (-.f64 x #s(literal 1 binary64)) y) |
x |
(* x (- 1 (/ 1 x))) |
(-.f64 x #s(literal 1 binary64)) |
(* x (- 1 (/ 1 x))) |
(-.f64 x #s(literal 1 binary64)) |
(* x (- 1 (/ 1 x))) |
(-.f64 x #s(literal 1 binary64)) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(fma.f64 (-.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 y (fma.f64 x y x))) x #s(literal 1 binary64)) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(fma.f64 (-.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 y (fma.f64 x y x))) x #s(literal 1 binary64)) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(fma.f64 (-.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 y (fma.f64 x y x))) x #s(literal 1 binary64)) |
(* x y) |
(*.f64 x y) |
(* x (+ y (+ (* -1 (/ y x)) (/ 1 x)))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* x (+ y (+ (* -1 (/ y x)) (/ 1 x)))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* x (+ y (+ (* -1 (/ y x)) (/ 1 x)))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(fma.f64 (-.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 y (fma.f64 x y x))) x #s(literal 1 binary64)) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(fma.f64 (-.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 y (fma.f64 x y x))) x #s(literal 1 binary64)) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(fma.f64 (-.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 y (fma.f64 x y x))) x #s(literal 1 binary64)) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(fma.f64 (-.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 y (fma.f64 x y x))) x #s(literal 1 binary64)) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(fma.f64 (-.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 y (fma.f64 x y x))) x #s(literal 1 binary64)) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(fma.f64 (-.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 y (fma.f64 x y x))) x #s(literal 1 binary64)) |
(* -1 (* x (* y (- y 1)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(* x (+ (* -1 (* y (- y 1))) (+ (/ 1 x) (/ (* y (- y 1)) x)))) |
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(* x (+ (* -1 (* y (- y 1))) (+ (/ 1 x) (/ (* y (- y 1)) x)))) |
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(* x (+ (* -1 (* y (- y 1))) (+ (/ 1 x) (/ (* y (- y 1)) x)))) |
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(* x (* y (- 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(* x (* y (- 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(* x (* y (- 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(* x (* y (- 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(fma.f64 (-.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 y (fma.f64 x y x))) x #s(literal 1 binary64)) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(fma.f64 (-.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 y (fma.f64 x y x))) x #s(literal 1 binary64)) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(fma.f64 (-.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 y (fma.f64 x y x))) x #s(literal 1 binary64)) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(fma.f64 (-.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 y (fma.f64 x y x))) x #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(fma.f64 (-.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 y (fma.f64 x y x))) x #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(fma.f64 (-.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 y (fma.f64 x y x))) x #s(literal 1 binary64)) |
(* -1 (* x (- (/ 1 y) 1))) |
(-.f64 x (/.f64 x y)) |
(* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y)))))) |
(-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)) |
(* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y)))))) |
(-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)) |
(* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y)))))) |
(-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)) |
(/ x y) |
(/.f64 x y) |
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) |
(/.f64 (-.f64 x #s(literal 1 binary64)) y) |
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) |
(/.f64 (-.f64 x #s(literal 1 binary64)) y) |
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) |
(/.f64 (-.f64 x #s(literal 1 binary64)) y) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(-.f64 x #s(literal 1 binary64)) |
(* -1 (* x (- (/ 1 x) 1))) |
(-.f64 x #s(literal 1 binary64)) |
(* -1 (* x (- (/ 1 x) 1))) |
(-.f64 x #s(literal 1 binary64)) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(fma.f64 (-.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 y (fma.f64 x y x))) x #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(fma.f64 (-.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 y (fma.f64 x y x))) x #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(fma.f64 (-.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 y (fma.f64 x y x))) x #s(literal 1 binary64)) |
(* x y) |
(*.f64 x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 (* -1 y)) x))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 (* -1 y)) x))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 (* -1 y)) x))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(fma.f64 (-.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 y (fma.f64 x y x))) x #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(fma.f64 (-.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 y (fma.f64 x y x))) x #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(fma.f64 (-.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 y (fma.f64 x y x))) x #s(literal 1 binary64)) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(fma.f64 (-.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 y (fma.f64 x y x))) x #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(fma.f64 (-.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 y (fma.f64 x y x))) x #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(fma.f64 (-.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 y (fma.f64 x y x))) x #s(literal 1 binary64)) |
(* -1 (* x (* y (- y 1)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(* -1 (* x (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1))))) |
(neg.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) x (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1))))) |
(neg.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) x (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1))))) |
(neg.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) x (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)))) |
(* x (* y (- 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(* x (* y (- 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(* x (* y (- 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(* x (* y (- 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(fma.f64 (-.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 y (fma.f64 x y x))) x #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(fma.f64 (-.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 y (fma.f64 x y x))) x #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(fma.f64 (-.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 y (fma.f64 x y x))) x #s(literal 1 binary64)) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
| 5 168× | lower-*.f32 |
| 5 158× | lower-*.f64 |
| 5 136× | lower-/.f32 |
| 5 134× | lower-/.f64 |
| 3 232× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 256 |
| 0 | 52 | 256 |
| 1 | 211 | 256 |
| 2 | 1753 | 256 |
| 0 | 8540 | 252 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y))) |
(-.f64 x (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y)) |
(/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y) |
#s(approx (- x 1) #s(literal -1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) #s(approx (- 1 y) (neg.f64 y)))) |
#s(approx (+ (* (- x 1) y) 1) #s(approx (- 1 y) (neg.f64 y))) |
#s(approx (- 1 y) (neg.f64 y)) |
(neg.f64 y) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x)) |
(*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x) |
#s(approx (/ y (+ y 1)) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (* (- 1 x) (+ -1 y)) y) 1) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)))) |
#s(approx (+ (* (* (- 1 x) (+ -1 y)) y) 1) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)) |
(-.f64 #s(literal 1 binary64) y) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y)) x)) |
(*.f64 #s(approx (/ y (+ y 1)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y)) x) |
#s(approx (/ y (+ y 1)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y)) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y) |
(*.f64 x y) |
| Outputs |
|---|
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y))) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y) #s(literal 2 binary64))) (pow.f64 (+.f64 (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y) x) #s(literal -1 binary64))) |
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(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (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 #s(literal -1 binary64) y))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 y y))) (*.f64 (-.f64 #s(literal -1 binary64) y) (+.f64 y #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (*.f64 y y))) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 y y))) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal -1 binary64) y)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) (*.f64 #s(literal 1 binary64) (neg.f64 y)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (neg.f64 y))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 y #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) (*.f64 #s(literal 1 binary64) (neg.f64 y))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) |
(fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64)) |
(fma.f64 y #s(literal -1 binary64) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 y))) (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) (neg.f64 y)))) |
(-.f64 (pow.f64 (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(-.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) y) |
(+.f64 (neg.f64 y) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (neg.f64 y)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y)) x)) |
(*.f64 #s(approx (/ y (+ y 1)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y)) x) |
(*.f64 x #s(approx (/ y (+ y 1)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y))) |
#s(approx (/ y (+ y 1)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y)) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y) |
(*.f64 y (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) #s(literal 2 binary64)) #s(literal 1 binary64)) y)) (neg.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) #s(literal 3 binary64)) #s(literal 1 binary64)) y)) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 y #s(literal 1 binary64)) y)))) |
(/.f64 (neg.f64 (*.f64 y (-.f64 (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 y (+.f64 (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 y #s(literal 1 binary64)) y)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) #s(literal 2 binary64)) #s(literal 1 binary64)) y) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal -1 binary64))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) #s(literal 3 binary64)) #s(literal 1 binary64)) y) (-.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 y #s(literal 1 binary64)) y))) |
(/.f64 (*.f64 y (-.f64 (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal -1 binary64))) |
(/.f64 (*.f64 y (+.f64 (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 y #s(literal 1 binary64)) y))) |
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y y) |
(fma.f64 y (*.f64 (-.f64 y #s(literal 1 binary64)) y) y) |
(fma.f64 y #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) |
(fma.f64 y #s(literal 1 binary64) (*.f64 y (*.f64 (-.f64 y #s(literal 1 binary64)) y))) |
(fma.f64 #s(literal 1 binary64) y (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) |
(fma.f64 #s(literal 1 binary64) y (*.f64 y (*.f64 (-.f64 y #s(literal 1 binary64)) y))) |
(+.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y) y) |
(+.f64 (*.f64 y (*.f64 (-.f64 y #s(literal 1 binary64)) y)) y) |
(+.f64 y (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) |
(+.f64 y (*.f64 y (*.f64 (-.f64 y #s(literal 1 binary64)) y))) |
(*.f64 y x) |
(*.f64 x y) |
Compiled 6 723 to 921 computations (86.3% saved)
18 alts after pruning (8 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 546 | 0 | 546 |
| Fresh | 0 | 8 | 8 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 5 | 5 |
| Total | 546 | 18 | 564 |
| Status | Accuracy | Program |
|---|---|---|
| 39.0% | (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64))))) | |
| 3.1% | (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (- 1 x) #s(literal 1 binary64)))) | |
| 53.3% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) x)) | |
| ✓ | 47.3% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))) |
| 38.4% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (-.f64 y #s(literal 1 binary64))) y #s(literal 1 binary64))) | |
| 53.5% | #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 x #s(literal 1 binary64))) y))) | |
| ✓ | 53.9% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y))) |
| 41.0% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x #s(approx (/ (- x 1) y) (/.f64 x y)))) | |
| ✓ | 11.4% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) (fma.f64 (neg.f64 y) y y)) x)) |
| ✓ | 12.0% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y)) x)) |
| ✓ | 41.2% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x)) |
| ✓ | 46.5% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 y (/.f64 x (+.f64 y #s(literal 1 binary64))))) |
| 15.9% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (- x 1) y)) (/.f64 #s(literal 1 binary64) y))) | |
| ✓ | 38.3% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y))) |
| 11.8% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.f64 x y))) | |
| ✓ | 3.3% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) #s(approx (- 1 y) (neg.f64 y)))) |
| ✓ | 11.4% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (* (- 1 x) (+ -1 y)) y) 1) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)))) |
| ✓ | 38.6% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
Compiled 387 to 227 computations (41.3% saved)
| Inputs |
|---|
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) #s(approx (- 1 y) (neg.f64 y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 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)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.f64 x y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) 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))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (-.f64 y #s(literal 1 binary64))) y #s(literal 1 binary64))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (- x 1) y)) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (* (- 1 x) (+ -1 y)) y) 1) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) (fma.f64 (neg.f64 y) y y)) x)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x #s(approx (/ (- x 1) y) (/.f64 x y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64))))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 y (/.f64 x (+.f64 y #s(literal 1 binary64))))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y)) x)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y))) |
(-.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))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) x)) |
(fma.f64 (/.f64 (*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) x)) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) 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 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) y))) |
| Outputs |
|---|
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y))) |
(fma.f64 (/.f64 (*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) x)) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y))) |
5 calls:
| 32.0ms | (-.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 | x |
| 8.0ms | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| 8.0ms | (-.f64 #s(literal 1 binary64) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.2% | 3 | x |
| 100.0% | 3 | y |
| 98.6% | 3 | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| 98.6% | 3 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| 72.8% | 1 | (-.f64 #s(literal 1 binary64) x) |
Compiled 25 to 23 computations (8% saved)
| Inputs |
|---|
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) #s(approx (- 1 y) (neg.f64 y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 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)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.f64 x y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) 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))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (-.f64 y #s(literal 1 binary64))) y #s(literal 1 binary64))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (- x 1) y)) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (* (- 1 x) (+ -1 y)) y) 1) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) (fma.f64 (neg.f64 y) y y)) x)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x #s(approx (/ (- x 1) y) (/.f64 x y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64))))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 y (/.f64 x (+.f64 y #s(literal 1 binary64))))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y)) x)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y))) |
(-.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))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) x)) |
(fma.f64 (/.f64 (*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) x)) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y))) |
(fma.f64 (/.f64 (*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) x)) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x)) |
1 calls:
| 43.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 3 | y |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) #s(approx (- 1 y) (neg.f64 y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 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)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.f64 x y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) 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))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (-.f64 y #s(literal 1 binary64))) y #s(literal 1 binary64))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (- x 1) y)) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (* (- 1 x) (+ -1 y)) y) 1) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) (fma.f64 (neg.f64 y) y y)) x)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x #s(approx (/ (- x 1) y) (/.f64 x y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64))))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 y (/.f64 x (+.f64 y #s(literal 1 binary64))))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y)) x)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y))) |
(-.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))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) x)) |
| Outputs |
|---|
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y))) |
(-.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))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x)) |
1 calls:
| 7.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 3 | y |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) #s(approx (- 1 y) (neg.f64 y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 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)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.f64 x y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) 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))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (-.f64 y #s(literal 1 binary64))) y #s(literal 1 binary64))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (- x 1) y)) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (* (- 1 x) (+ -1 y)) y) 1) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) (fma.f64 (neg.f64 y) y y)) x)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x #s(approx (/ (- x 1) y) (/.f64 x y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64))))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 y (/.f64 x (+.f64 y #s(literal 1 binary64))))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y)) x)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y))) |
(-.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 x #s(literal 1 binary64)) y))) |
1 calls:
| 46.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 3 | y |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) #s(approx (- 1 y) (neg.f64 y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 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)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.f64 x y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) 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))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (-.f64 y #s(literal 1 binary64))) y #s(literal 1 binary64))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (- x 1) y)) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (* (- 1 x) (+ -1 y)) y) 1) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) (fma.f64 (neg.f64 y) y y)) x)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x #s(approx (/ (- x 1) y) (/.f64 x y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64))))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 y (/.f64 x (+.f64 y #s(literal 1 binary64))))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y)) x)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y))) |
| Outputs |
|---|
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))) |
1 calls:
| 7.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 3 | y |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) #s(approx (- 1 y) (neg.f64 y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 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)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.f64 x y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) 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))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (-.f64 y #s(literal 1 binary64))) y #s(literal 1 binary64))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (- x 1) y)) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (* (- 1 x) (+ -1 y)) y) 1) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) (fma.f64 (neg.f64 y) y y)) x)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x #s(approx (/ (- x 1) y) (/.f64 x y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))) |
| Outputs |
|---|
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))) |
3 calls:
| 69.0ms | y |
| 8.0ms | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| 5.0ms | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.1% | 3 | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| 90.1% | 3 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| 98.6% | 3 | y |
Compiled 21 to 17 computations (19% saved)
| Inputs |
|---|
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) #s(approx (- 1 y) (neg.f64 y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 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)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.f64 x y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) 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))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (-.f64 y #s(literal 1 binary64))) y #s(literal 1 binary64))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (- x 1) y)) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (* (- 1 x) (+ -1 y)) y) 1) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) (fma.f64 (neg.f64 y) y y)) x)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x #s(approx (/ (- x 1) y) (/.f64 x y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y))) |
| Outputs |
|---|
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y))) |
1 calls:
| 5.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 3 | y |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) #s(approx (- 1 y) (neg.f64 y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 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)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.f64 x y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) 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))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (-.f64 y #s(literal 1 binary64))) y #s(literal 1 binary64))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (- x 1) y)) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (* (- 1 x) (+ -1 y)) y) 1) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) (fma.f64 (neg.f64 y) y y)) x)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x #s(approx (/ (- x 1) y) (/.f64 x y)))) |
| Outputs |
|---|
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x)) |
3 calls:
| 8.0ms | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| 5.0ms | y |
| 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 |
|---|---|---|
| 77.2% | 3 | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| 77.2% | 3 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| 85.7% | 3 | y |
Compiled 21 to 17 computations (19% saved)
| Inputs |
|---|
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) #s(approx (- 1 y) (neg.f64 y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 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)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.f64 x y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) 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))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (-.f64 y #s(literal 1 binary64))) y #s(literal 1 binary64))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (- x 1) y)) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (* (- 1 x) (+ -1 y)) y) 1) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) (fma.f64 (neg.f64 y) y y)) x)) |
| Outputs |
|---|
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x)) |
1 calls:
| 4.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.5% | 3 | y |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) #s(approx (- 1 y) (neg.f64 y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 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)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.f64 x y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) 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))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (-.f64 y #s(literal 1 binary64))) y #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (-.f64 y #s(literal 1 binary64))) y #s(literal 1 binary64))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x)) |
3 calls:
| 27.0ms | 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 |
|---|---|---|
| 76.3% | 3 | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| 76.3% | 3 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| 76.3% | 3 | y |
Compiled 21 to 17 computations (19% saved)
| Inputs |
|---|
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) #s(approx (- 1 y) (neg.f64 y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 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)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.f64 x y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x)) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x))) |
| Outputs |
|---|
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x)) |
4 calls:
| 21.0ms | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| 3.0ms | y |
| 3.0ms | 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 |
|---|---|---|
| 55.3% | 3 | x |
| 76.1% | 3 | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| 76.1% | 3 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| 76.1% | 3 | y |
Compiled 22 to 19 computations (13.6% saved)
| Inputs |
|---|
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) #s(approx (- 1 y) (neg.f64 y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 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)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.f64 x y))) |
| Outputs |
|---|
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.f64 x y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.f64 x y))) |
5 calls:
| 21.0ms | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | (-.f64 #s(literal 1 binary64) x) |
| 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 |
|---|---|---|
| 42.7% | 3 | x |
| 42.7% | 3 | (-.f64 #s(literal 1 binary64) x) |
| 46.8% | 3 | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| 46.8% | 3 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| 38.6% | 1 | y |
Compiled 25 to 23 computations (8% saved)
Total -23.4b remaining (-59.6%)
Threshold costs -23.4b (-59.6%)
| Inputs |
|---|
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) #s(approx (- 1 y) (neg.f64 y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 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)))) |
| Outputs |
|---|
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
5 calls:
| 23.0ms | y |
| 2.0ms | x |
| 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)))) |
| 2.0ms | (-.f64 #s(literal 1 binary64) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 38.6% | 1 | y |
| 38.6% | 1 | x |
| 38.6% | 1 | (-.f64 #s(literal 1 binary64) x) |
| 38.6% | 1 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| 38.6% | 1 | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
Compiled 25 to 23 computations (8% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 34.0ms | 0.21183030292520733 | 231747160528710.56 |
| 15.0ms | -6.3121162183877695e+28 | -1.0329536273969197e+26 |
| 30.0ms | 218× | 0 | valid |
| 7.0ms | 70× | 1 | valid |
Compiled 548 to 423 computations (22.8% saved)
ival-sub: 23.0ms (73.8% of total)ival-div: 2.0ms (6.4% of total)ival-mult: 2.0ms (6.4% of total)adjust: 1.0ms (3.2% of total)ival-add: 1.0ms (3.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 7.0ms | 0.21183030292520733 | 231747160528710.56 |
| 1.0ms | -6.3121162183877695e+28 | -1.0329536273969197e+26 |
| 4.0ms | 80× | 0 | valid |
Compiled 488 to 393 computations (19.5% saved)
ival-div: 1.0ms (43.9% of total)ival-sub: 1.0ms (43.9% 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 |
|---|---|---|
| 32.0ms | 0.21183030292520733 | 231747160528710.56 |
| 1.0ms | -6.3121162183877695e+28 | -1.0329536273969197e+26 |
| 27.0ms | 112× | 0 | valid |
Compiled 398 to 339 computations (14.8% saved)
ival-div: 1.0ms (31.4% of total)ival-sub: 1.0ms (31.4% of total)ival-mult: 1.0ms (31.4% 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 |
|---|---|---|
| 23.0ms | 0.21183030292520733 | 231747160528710.56 |
| 1.0ms | -6.3121162183877695e+28 | -1.0329536273969197e+26 |
| 18.0ms | 144× | 0 | valid |
Compiled 348 to 319 computations (8.3% saved)
ival-sub: 12.0ms (81.4% of total)ival-div: 1.0ms (6.8% of total)ival-add: 1.0ms (6.8% of total)ival-mult: 1.0ms (6.8% 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 |
|---|---|---|
| 14.0ms | 0.21183030292520733 | 231747160528710.56 |
| 13.0ms | -310.65238780109775 | -1.9421081951399045e-5 |
| 13.0ms | 272× | 0 | valid |
Compiled 375 to 355 computations (5.3% saved)
ival-sub: 3.0ms (37.6% of total)ival-div: 2.0ms (25% of total)ival-mult: 2.0ms (25% of total)ival-add: 1.0ms (12.5% 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 | 0.21183030292520733 | 231747160528710.56 |
| 1.0ms | -310.65238780109775 | -1.9421081951399045e-5 |
Compiled 299 to 298 computations (0.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 7.0ms | 0.21183030292520733 | 231747160528710.56 |
| 1.0ms | -310.65238780109775 | -1.9421081951399045e-5 |
| 2.0ms | 48× | 0 | valid |
Compiled 280 to 298 computations (-6.4% 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 | 0.21183030292520733 | 231747160528710.56 |
| 1.0ms | -310.65238780109775 | -1.9421081951399045e-5 |
Compiled 260 to 279 computations (-7.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.21183030292520733 | 231747160528710.56 |
| 1.0ms | -310.65238780109775 | -1.9421081951399045e-5 |
Compiled 242 to 279 computations (-15.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 1.3119351998359259e+20 | 4.0373275371527713e+26 |
| 1.0ms | -310.65238780109775 | -1.9421081951399045e-5 |
| 9.0ms | 73× | 1 | valid |
| 3.0ms | 71× | 0 | valid |
Compiled 248 to 283 computations (-14.1% saved)
adjust: 2.0ms (27.5% of total)ival-sub: 2.0ms (27.5% of total)ival-div: 1.0ms (13.7% of total)ival-add: 1.0ms (13.7% of total)ival-mult: 1.0ms (13.7% 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 |
|---|---|---|
| 14.0ms | 1.9966420280889003e-18 | 2.6325804557270427e-12 |
| 1.0ms | -310.65238780109775 | -1.9421081951399045e-5 |
| 9.0ms | 144× | 0 | valid |
Compiled 194 to 265 computations (-36.6% saved)
ival-div: 1.0ms (23.8% of total)ival-sub: 1.0ms (23.8% of total)ival-add: 1.0ms (23.8% of total)ival-mult: 1.0ms (23.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.1871056806165603 | 802.6859620708241 |
| 0.0ms | 6.384559547711888e-12 | 1.0970624408912499e-10 |
Compiled 14 to 13 computations (7.1% saved)
| 1× | egg-herbie |
| 254× | unsub-neg-binary64--.f64-neg.f64-+.f64 |
| 220× | distribute-lft-neg-in-binary64-*.f64-neg.f64 |
| 176× | neg-mul-1-binary64-*.f64-neg.f64 |
| 110× | neg-sub0-binary64--.f64-neg.f64 |
| 92× | sub-neg-binary64-neg.f64-+.f64--.f64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 112 | 866 |
| 1 | 144 | 866 |
| 2 | 195 | 866 |
| 3 | 244 | 864 |
| 4 | 282 | 864 |
| 5 | 354 | 864 |
| 6 | 447 | 864 |
| 7 | 582 | 864 |
| 8 | 736 | 864 |
| 9 | 841 | 864 |
| 10 | 910 | 864 |
| 11 | 932 | 864 |
| 12 | 933 | 864 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 y #s(literal -105000000000000004143972352 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y))) (if (<=.f64 y #s(literal 12000 binary64)) (fma.f64 (/.f64 (*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) x)) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y))))) |
(if (<=.f64 y #s(literal -105000000000000004143972352 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y))) (if (<=.f64 y #s(literal 92000 binary64)) (fma.f64 (/.f64 (*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) x)) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x)))) |
(if (<=.f64 y #s(literal -105000000000000004143972352 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y))) (if (<=.f64 y #s(literal 370000 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))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x)))) |
(if (<=.f64 y #s(literal -105000000000000004143972352 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y))) (if (<=.f64 y #s(literal 130000000 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 x #s(literal 1 binary64)) y))))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y))) (if (<=.f64 y #s(literal 3512807709348987/4503599627370496 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y))))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y)))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x)))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x)) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x)))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x)) (if (<=.f64 y #s(literal 132000000000000000000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (-.f64 y #s(literal 1 binary64))) y #s(literal 1 binary64))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x)))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x)) (if (<=.f64 y #s(literal 6437288204283977/2475880078570760549798248448 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x)))) |
(if (<=.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #s(literal 6189700196426901/618970019642690137449562112 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.f64 x y))) (if (<=.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.f64 x y))))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
| Outputs |
|---|
(if (<=.f64 y #s(literal -105000000000000004143972352 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y))) (if (<=.f64 y #s(literal 12000 binary64)) (fma.f64 (/.f64 (*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) x)) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y))))) |
(if (<=.f64 y #s(literal -105000000000000004143972352 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y))) (if (<=.f64 y #s(literal 12000 binary64)) (fma.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y))))) |
(if (<=.f64 y #s(literal -105000000000000004143972352 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y))) (if (<=.f64 y #s(literal 92000 binary64)) (fma.f64 (/.f64 (*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) x)) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x)))) |
(if (<=.f64 y #s(literal -105000000000000004143972352 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y))) (if (<=.f64 y #s(literal 92000 binary64)) (fma.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x)))) |
(if (<=.f64 y #s(literal -105000000000000004143972352 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y))) (if (<=.f64 y #s(literal 370000 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))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x)))) |
(if (<=.f64 y #s(literal -105000000000000004143972352 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y))) (if (<=.f64 y #s(literal 370000 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))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x)))) |
(if (<=.f64 y #s(literal -105000000000000004143972352 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y))) (if (<=.f64 y #s(literal 130000000 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 x #s(literal 1 binary64)) y))))) |
(if (<=.f64 y #s(literal -105000000000000004143972352 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y))) (if (<=.f64 y #s(literal 130000000 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 x #s(literal 1 binary64)) y))))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) y #s(literal 1 binary64))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y))) (if (<=.f64 y #s(literal 3512807709348987/4503599627370496 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y))))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y)))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x)))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x)) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x)))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x)) (if (<=.f64 y #s(literal 132000000000000000000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (-.f64 y #s(literal 1 binary64))) y #s(literal 1 binary64))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x)))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x)) (if (<=.f64 y #s(literal 6437288204283977/2475880078570760549798248448 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x)))) |
(if (<=.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #s(literal 6189700196426901/618970019642690137449562112 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.f64 x y))) (if (<=.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.f64 x y))))) |
(if (<=.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 y #s(literal -1 binary64)))) #s(literal 6189700196426901/618970019642690137449562112 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.f64 x y))) (if (<=.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.f64 x y))))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
| 19 126× | lower-fma.f64 |
| 19 126× | lower-fma.f32 |
| 15 126× | lower-fma.f64 |
| 15 126× | lower-fma.f32 |
| 13 336× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 276 | 3434 |
| 1 | 896 | 3251 |
| 2 | 2533 | 2857 |
| 0 | 8255 | 2709 |
| 0 | 8 | 31 |
| 0 | 13 | 31 |
| 1 | 63 | 31 |
| 2 | 533 | 31 |
| 0 | 8517 | 30 |
| 0 | 127 | 823 |
| 1 | 400 | 799 |
| 2 | 1127 | 684 |
| 3 | 4559 | 669 |
| 0 | 8305 | 648 |
| 0 | 229 | 3173 |
| 1 | 708 | 3037 |
| 2 | 1886 | 2688 |
| 3 | 7123 | 2678 |
| 0 | 8090 | 2562 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 640 to 312 computations (51.3% saved)
Compiled 908 to 248 computations (72.7% saved)
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