
Time bar (total: 8.1s)
| 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)
| 636.0ms | 6 292× | 0 | valid |
| 225.0ms | 1 654× | 1 | valid |
| 49.0ms | 310× | 2 | valid |
ival-sub: 179.0ms (34.1% of total)ival-div: 117.0ms (22.3% of total)ival-mult: 112.0ms (21.3% of total)ival-add: 54.0ms (10.3% of total)adjust: 49.0ms (9.3% of total)ival-true: 6.0ms (1.1% of total)exact: 5.0ms (1% of total)ival-assert: 3.0ms (0.6% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 58 | 0 | - | 29 | (7.225176790133774e-65 2.2354169434749463e+135) | (-.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 | 29 | 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 - | |
|---|---|---|
| + | 55 | 29 |
| - | 0 | 172 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 55 | 0 | 29 |
| - | 0 | 0 | 172 |
| number | freq |
|---|---|
| 0 | 201 |
| 1 | 55 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 40.0ms | 94× | 1 | valid |
| 22.0ms | 402× | 0 | valid |
| 3.0ms | 16× | 2 | valid |
Compiled 117 to 52 computations (55.6% saved)
ival-mult: 23.0ms (45.8% of total)ival-add: 13.0ms (25.9% of total)ival-sub: 6.0ms (11.9% of total)ival-div: 4.0ms (8% of total)adjust: 3.0ms (6% 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 |
|---|---|---|
| ▶ | 69.9% | (-.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 | 0.015625 | (*.f64 (-.f64 #s(literal 1 binary64) x) y) | |
| accuracy | 6.129833932136682 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) | |
| accuracy | 13.164372888543314 | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| 65.0ms | 201× | 0 | valid |
| 6.0ms | 47× | 1 | valid |
| 1.0ms | 8× | 2 | valid |
Compiled 36 to 10 computations (72.2% saved)
ival-sub: 13.0ms (64.6% of total)ival-div: 2.0ms (9.9% of total)ival-add: 2.0ms (9.9% of total)ival-mult: 2.0ms (9.9% of total)adjust: 1.0ms (5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.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 | |
|---|---|---|---|---|
| 18.0ms | y | @ | -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 | x | @ | -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 | @ | 0 | ((- 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 (+.f64 (pow.f64 (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (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))) |
(/.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 9 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 (+.f64 (pow.f64 (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)) (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) 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 12 316 to 1 657 computations (86.5% saved)
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 551 | 13 | 564 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 552 | 13 | 565 |
| Status | Accuracy | Program |
|---|---|---|
| 79.4% | (fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) y #s(literal 1 binary64)) | |
| ▶ | 66.5% | (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
| ▶ | 79.5% | (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
| 41.7% | (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64))))) | |
| 27.9% | (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x))) | |
| 77.3% | (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y))) | |
| 48.6% | #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)) | |
| 52.6% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))) | |
| 52.2% | #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))) | |
| 49.0% | #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))) | |
| ▶ | 48.7% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))) |
| ▶ | 49.3% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)) |
| ▶ | 41.1% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
Compiled 258 to 206 computations (20.2% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 y (fma.f64 y y #s(literal -1 binary64))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) | |
| cost-diff | 704 | (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) | |
| 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 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))) | |
| cost-diff | 0 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (-.f64 #s(literal -1 binary64) y) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) | |
| cost-diff | 0 | (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
| 15 446× | lower-fma.f32 |
| 15 440× | lower-fma.f64 |
| 2 908× | lower-*.f32 |
| 2 904× | lower-*.f64 |
| 1 664× | lower-+.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 160 |
| 0 | 45 | 155 |
| 1 | 83 | 155 |
| 2 | 169 | 152 |
| 3 | 533 | 152 |
| 4 | 1894 | 152 |
| 5 | 6382 | 152 |
| 0 | 8160 | 152 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
y |
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(-.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.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))) (*.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 |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(/.f64 y (fma.f64 y y #s(literal -1 binary64))) |
y |
(fma.f64 y y #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(-.f64 #s(literal 1 binary64) y) |
| Outputs |
|---|
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
y |
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) |
(/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(-.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.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))) (*.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 |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) |
(*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(/.f64 y (fma.f64 y y #s(literal -1 binary64))) |
y |
(fma.f64 y y #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(-.f64 #s(literal 1 binary64) y) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.08203125 | (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) | |
| accuracy | 13.12544684257605 | (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) | |
| accuracy | 14.474812309069618 | (/.f64 y (fma.f64 y y #s(literal -1 binary64))) | |
| accuracy | 0 | (+.f64 y #s(literal 1 binary64)) | |
| accuracy | 0.0078125 | (/.f64 y (+.f64 y #s(literal 1 binary64))) | |
| accuracy | 0.03515625 | (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x) | |
| accuracy | 32.44613394493701 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)) | |
| accuracy | 0 | (-.f64 x #s(literal 1 binary64)) | |
| accuracy | 0.00390625 | (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)) | |
| accuracy | 0.0078125 | (/.f64 (-.f64 x #s(literal 1 binary64)) y) | |
| accuracy | 32.839272367683314 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))) | |
| accuracy | 37.724256668666804 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) x) | |
| accuracy | 0 | (-.f64 #s(literal -1 binary64) y) | |
| accuracy | 0.01171875 | (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) | |
| accuracy | 13.126209779878074 | (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
| 88.0ms | 201× | 0 | valid |
| 42.0ms | 47× | 1 | valid |
| 5.0ms | 8× | 2 | valid |
Compiled 150 to 27 computations (82% saved)
ival-sub: 34.0ms (33.8% of total)ival-mult: 34.0ms (33.8% of total)ival-add: 19.0ms (18.9% of total)ival-div: 10.0ms (9.9% of total)adjust: 4.0ms (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 (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (patch (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal -1 binary64) y) (patch (-.f64 #s(literal -1 binary64) y) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.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))) (*.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 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 y (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 1 (taylor 0 y) (#s(alt (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (patch (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* y (- 1 x)))) (taylor 0 y) (#s(alt (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (patch (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* y (+ (* -1 (* y (- x 1))) (* -1 (- 1 x))))) (taylor 0 y) (#s(alt (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (patch (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* y (+ (* -1 (- 1 x)) (* y (+ (* -1 (* y (- 1 x))) (* -1 (- x 1))))))) (taylor 0 y) (#s(alt (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (patch (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
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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))) (*.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 (* -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 (/.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 (* -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 (/.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 (/ (* x y) (+ 1 y)) (taylor -inf x) (#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 (/ (* x y) (+ 1 y)) (taylor -inf x) (#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 (/ (* x y) (+ 1 y)) (taylor -inf x) (#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 (/ (* x y) (+ 1 y)) (taylor -inf x) (#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 (* -1 (/ (* x (* y (- 1 y))) (- (pow y 2) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ (+ 1 (/ (* y (- 1 y)) (- (pow y 2) 1))) x)) (/ (* y (- 1 y)) (- (pow y 2) 1))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ (+ 1 (/ (* y (- 1 y)) (- (pow y 2) 1))) x)) (/ (* y (- 1 y)) (- (pow y 2) 1))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ (+ 1 (/ (* y (- 1 y)) (- (pow y 2) 1))) x)) (/ (* y (- 1 y)) (- (pow y 2) 1))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x y) (- (pow y 2) 1))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ y (* x (- (pow y 2) 1)))) (/ y (- (pow y 2) 1))))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ y (* x (- (pow y 2) 1)))) (/ y (- (pow y 2) 1))))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ y (* x (- (pow y 2) 1)))) (/ y (- (pow y 2) 1))))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | -inf | ((+ (* y (/ (- 1 x) (- -1 y))) 1) (/ (- 1 x) (- -1 y)) (- 1 x) (- -1 y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- x (/ (- x 1) y)) (/ (- x 1) y) (- x 1) (- 1 (/ (* (- 1 x) y) (+ y 1))) (* (/ y (+ y 1)) x) (/ y (+ y 1)) (+ y 1) (+ (* (* (- 1 x) (/ y (+ (* y y) -1))) (- 1 y)) 1) (* (- 1 x) (/ y (+ (* y y) -1))) (/ y (+ (* y y) -1))) |
| 3.0ms | x | @ | 0 | ((+ (* y (/ (- 1 x) (- -1 y))) 1) (/ (- 1 x) (- -1 y)) (- 1 x) (- -1 y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- x (/ (- x 1) y)) (/ (- x 1) y) (- x 1) (- 1 (/ (* (- 1 x) y) (+ y 1))) (* (/ y (+ y 1)) x) (/ y (+ y 1)) (+ y 1) (+ (* (* (- 1 x) (/ y (+ (* y y) -1))) (- 1 y)) 1) (* (- 1 x) (/ y (+ (* y y) -1))) (/ y (+ (* y y) -1))) |
| 3.0ms | x | @ | inf | ((+ (* y (/ (- 1 x) (- -1 y))) 1) (/ (- 1 x) (- -1 y)) (- 1 x) (- -1 y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- x (/ (- x 1) y)) (/ (- x 1) y) (- x 1) (- 1 (/ (* (- 1 x) y) (+ y 1))) (* (/ y (+ y 1)) x) (/ y (+ y 1)) (+ y 1) (+ (* (* (- 1 x) (/ y (+ (* y y) -1))) (- 1 y)) 1) (* (- 1 x) (/ y (+ (* y y) -1))) (/ y (+ (* y y) -1))) |
| 3.0ms | y | @ | -inf | ((+ (* y (/ (- 1 x) (- -1 y))) 1) (/ (- 1 x) (- -1 y)) (- 1 x) (- -1 y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- x (/ (- x 1) y)) (/ (- x 1) y) (- x 1) (- 1 (/ (* (- 1 x) y) (+ y 1))) (* (/ y (+ y 1)) x) (/ y (+ y 1)) (+ y 1) (+ (* (* (- 1 x) (/ y (+ (* y y) -1))) (- 1 y)) 1) (* (- 1 x) (/ y (+ (* y y) -1))) (/ y (+ (* y y) -1))) |
| 2.0ms | y | @ | inf | ((+ (* y (/ (- 1 x) (- -1 y))) 1) (/ (- 1 x) (- -1 y)) (- 1 x) (- -1 y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- x (/ (- x 1) y)) (/ (- x 1) y) (- x 1) (- 1 (/ (* (- 1 x) y) (+ y 1))) (* (/ y (+ y 1)) x) (/ y (+ y 1)) (+ y 1) (+ (* (* (- 1 x) (/ y (+ (* y y) -1))) (- 1 y)) 1) (* (- 1 x) (/ y (+ (* y y) -1))) (/ y (+ (* y y) -1))) |
| 1× | egg-herbie |
| 16 854× | lower-fma.f64 |
| 16 854× | lower-fma.f32 |
| 4 686× | lower-+.f64 |
| 4 686× | lower-+.f32 |
| 3 942× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 370 | 3603 |
| 1 | 1155 | 3222 |
| 2 | 3512 | 3009 |
| 0 | 8318 | 2853 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* -1 (* y (- 1 x)))) |
(+ 1 (* y (+ (* -1 (* y (- x 1))) (* -1 (- 1 x))))) |
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (+ (* -1 (* y (- 1 x))) (* -1 (- x 1))))))) |
(* -1 (- 1 x)) |
(+ (* -1 (* y (- x 1))) (* -1 (- 1 x))) |
(+ (* -1 (- 1 x)) (* y (+ (* -1 (* y (- 1 x))) (* -1 (- x 1))))) |
(+ (* -1 (- 1 x)) (* y (+ (* -1 (- x 1)) (* y (+ (* -1 (* y (- x 1))) (* -1 (- 1 x))))))) |
-1 |
(- (* -1 y) 1) |
(- (* -1 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 (* 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))) |
(* 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 |
(+ 1 (* -1 (* y (- 1 x)))) |
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x))))) |
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (- (+ 1 (* y (- x 1))) x))))) |
(* -1 (* y (- 1 x))) |
(* y (+ (* -1 (- 1 x)) (* (pow y 2) (- x 1)))) |
(* y (+ (* -1 (- 1 x)) (* (pow y 2) (- (+ x (* (pow y 2) (- x 1))) 1)))) |
(* y (+ (* -1 (- 1 x)) (* (pow y 2) (- (+ x (* (pow y 2) (- (* (pow y 2) (- x 1)) (* -1 (- x 1))))) 1)))) |
(* -1 y) |
(* y (- (* -1 (pow y 2)) 1)) |
(* y (- (* (pow y 2) (- (* -1 (pow y 2)) 1)) 1)) |
(* y (- (* (pow y 2) (- (* (pow y 2) (- (* -1 (pow y 2)) 1)) 1)) 1)) |
(+ 1 (* -1 (- 1 x))) |
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (- x 1) y)))) |
(+ 1 (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (* -1 (/ (- x 1) y))))) |
(+ 1 (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (+ (* -1 (/ (- x 1) y)) (* -1 (/ (- x 1) (pow y 3))))))) |
(* -1 (/ (- 1 x) y)) |
(/ (+ (* -1 (- 1 x)) (* -1 (/ (- x 1) y))) y) |
(/ (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (* -1 (/ (- x 1) y)))) y) |
(/ (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (+ (* -1 (/ (- x 1) y)) (* -1 (/ (- x 1) (pow y 3)))))) y) |
(* -1 y) |
(* -1 (* y (+ 1 (/ 1 y)))) |
(* -1 (* y (+ 1 (/ 1 y)))) |
(* -1 (* y (+ 1 (/ 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 (/ (+ 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)))))) |
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))) |
(+ 1 (* -1 (- 1 x))) |
(- (+ 1 (+ (* -1 (- 1 x)) (/ 1 y))) (/ x y)) |
(- (+ 1 (+ (* -1 (- 1 x)) (+ (/ 1 y) (/ x (pow y 2))))) (+ (/ 1 (pow y 2)) (/ x y))) |
(- (+ 1 (+ (* -1 (- 1 x)) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) |
(/ (- 1 x) y) |
(/ (- (+ 1 (/ 1 (pow y 2))) (+ x (/ x (pow y 2)))) y) |
(/ (- (+ 1 (/ 1 (pow y 4))) (+ x (+ (* -1 (/ (- 1 x) (pow y 2))) (/ x (pow y 4))))) y) |
(/ (- (+ 1 (/ 1 (pow y 6))) (+ x (+ (* -1 (/ (- 1 x) (pow y 2))) (+ (* -1 (/ (- 1 x) (pow y 4))) (/ x (pow y 6)))))) y) |
(/ 1 y) |
(/ (+ 1 (/ 1 (pow y 2))) y) |
(/ (+ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow y 4)))) y) |
(/ (+ 1 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow y 4)) (/ 1 (pow y 6))))) y) |
(+ 1 (* -1 (- 1 x))) |
(- (+ 1 (+ (* -1 (- 1 x)) (/ 1 y))) (/ x y)) |
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y)))) |
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y))) y)))) |
(* -1 (/ (- 1 x) y)) |
(* -1 (/ (- (+ 1 (* -1 (/ (- 1 x) y))) x) y)) |
(* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (- 1 x) y)) (* -1 (- 1 x))) y))) x) y)) |
(* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- 1 x) y)) (* -1 (- 1 x))) y)) (* -1 (- 1 x))) y))) x) y)) |
(* -1 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 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))) |
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))) |
(+ 1 (* -1 (- 1 x))) |
(- (+ 1 (+ (* -1 (- 1 x)) (/ 1 y))) (/ x y)) |
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y)))) |
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y))) y)))) |
(/ (- 1 x) y) |
(* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ (- 1 x) (pow y 2)))) y)) |
(* -1 (/ (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (* -1 (/ (- 1 x) (pow y 4))))) y)) |
(* -1 (/ (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (+ (* -1 (/ (- 1 x) (pow y 4))) (* -1 (/ (- 1 x) (pow y 6)))))) y)) |
(/ 1 y) |
(/ (+ 1 (/ 1 (pow y 2))) y) |
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow y 2))) (pow y 2))) 1) y)) |
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow y 2))) (pow y 4))) (+ 1 (/ 1 (pow y 2)))) y)) |
(+ 1 (* -1 (/ y (+ 1 y)))) |
(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))) |
(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))) |
(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))) |
(/ -1 (+ 1 y)) |
(- (/ x (+ 1 y)) (/ 1 (+ 1 y))) |
(- (/ x (+ 1 y)) (/ 1 (+ 1 y))) |
(- (/ x (+ 1 y)) (/ 1 (+ 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))) |
(- 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))) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(+ 1 (/ (* y (- 1 y)) (- (pow y 2) 1))) |
(+ 1 (+ (* -1 (/ (* x (* y (- 1 y))) (- (pow y 2) 1))) (/ (* y (- 1 y)) (- (pow y 2) 1)))) |
(+ 1 (+ (* -1 (/ (* x (* y (- 1 y))) (- (pow y 2) 1))) (/ (* y (- 1 y)) (- (pow y 2) 1)))) |
(+ 1 (+ (* -1 (/ (* x (* y (- 1 y))) (- (pow y 2) 1))) (/ (* y (- 1 y)) (- (pow y 2) 1)))) |
(/ y (- (pow y 2) 1)) |
(+ (* -1 (/ (* x y) (- (pow y 2) 1))) (/ y (- (pow y 2) 1))) |
(+ (* -1 (/ (* x y) (- (pow y 2) 1))) (/ y (- (pow y 2) 1))) |
(+ (* -1 (/ (* x y) (- (pow y 2) 1))) (/ y (- (pow y 2) 1))) |
(/ (* x y) (+ 1 y)) |
(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y))))) |
(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y))))) |
(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y))))) |
(/ x (+ 1 y)) |
(* x (- (/ 1 (+ 1 y)) (/ 1 (* x (+ 1 y))))) |
(* x (- (/ 1 (+ 1 y)) (/ 1 (* x (+ 1 y))))) |
(* x (- (/ 1 (+ 1 y)) (/ 1 (* x (+ 1 y))))) |
(* -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 (- (/ 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) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(* -1 (/ (* x (* y (- 1 y))) (- (pow y 2) 1))) |
(* x (+ (* -1 (/ (* y (- 1 y)) (- (pow y 2) 1))) (+ (/ 1 x) (/ (* y (- 1 y)) (* x (- (pow y 2) 1)))))) |
(* x (+ (* -1 (/ (* y (- 1 y)) (- (pow y 2) 1))) (+ (/ 1 x) (/ (* y (- 1 y)) (* x (- (pow y 2) 1)))))) |
(* x (+ (* -1 (/ (* y (- 1 y)) (- (pow y 2) 1))) (+ (/ 1 x) (/ (* y (- 1 y)) (* x (- (pow y 2) 1)))))) |
(* -1 (/ (* x y) (- (pow y 2) 1))) |
(* x (+ (* -1 (/ y (- (pow y 2) 1))) (/ y (* x (- (pow y 2) 1))))) |
(* x (+ (* -1 (/ y (- (pow y 2) 1))) (/ y (* x (- (pow y 2) 1))))) |
(* x (+ (* -1 (/ y (- (pow y 2) 1))) (/ y (* x (- (pow y 2) 1))))) |
(/ (* x y) (+ 1 y)) |
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x))))) |
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x))))) |
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x))))) |
(/ x (+ 1 y)) |
(* -1 (* x (- (/ 1 (* x (+ 1 y))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (/ 1 (* x (+ 1 y))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (/ 1 (* x (+ 1 y))) (/ 1 (+ 1 y))))) |
(* -1 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)) |
(* -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 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(* -1 (/ (* x (* y (- 1 y))) (- (pow y 2) 1))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (/ (* y (- 1 y)) (- (pow y 2) 1))) x)) (/ (* y (- 1 y)) (- (pow y 2) 1))))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (/ (* y (- 1 y)) (- (pow y 2) 1))) x)) (/ (* y (- 1 y)) (- (pow y 2) 1))))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (/ (* y (- 1 y)) (- (pow y 2) 1))) x)) (/ (* y (- 1 y)) (- (pow y 2) 1))))) |
(* -1 (/ (* x y) (- (pow y 2) 1))) |
(* -1 (* x (+ (* -1 (/ y (* x (- (pow y 2) 1)))) (/ y (- (pow y 2) 1))))) |
(* -1 (* x (+ (* -1 (/ y (* x (- (pow y 2) 1)))) (/ y (- (pow y 2) 1))))) |
(* -1 (* x (+ (* -1 (/ y (* x (- (pow y 2) 1)))) (/ y (- (pow y 2) 1))))) |
| Outputs |
|---|
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 (* y (- x 1))) (* -1 (- 1 x))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64)) |
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (+ (* -1 (* y (- 1 x))) (* -1 (- x 1))))))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (neg.f64 y) y (-.f64 y #s(literal 1 binary64)))) y #s(literal 1 binary64)) |
(* -1 (- 1 x)) |
(-.f64 x #s(literal 1 binary64)) |
(+ (* -1 (* y (- x 1))) (* -1 (- 1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64))) |
(+ (* -1 (- 1 x)) (* y (+ (* -1 (* y (- 1 x))) (* -1 (- x 1))))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (neg.f64 y) y (-.f64 y #s(literal 1 binary64)))) |
(+ (* -1 (- 1 x)) (* y (+ (* -1 (- x 1)) (* y (+ (* -1 (* y (- x 1))) (* -1 (- 1 x))))))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64)))) |
-1 |
#s(literal -1 binary64) |
(- (* -1 y) 1) |
(-.f64 #s(literal -1 binary64) y) |
(- (* -1 y) 1) |
(-.f64 #s(literal -1 binary64) y) |
(- (* -1 y) 1) |
(-.f64 #s(literal -1 binary64) y) |
1 |
#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 #s(literal 1 binary64) y) (*.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64)) |
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (neg.f64 y) y (-.f64 y #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 (* y (- 1 x))) 1))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64)) |
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (neg.f64 y) y (-.f64 y #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 #s(literal 1 binary64) y) (*.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64)) |
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (neg.f64 y) y (-.f64 y #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 (fma.f64 (-.f64 (*.f64 x y) x) y x) y) |
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y (neg.f64 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)))) |
(fma.f64 (*.f64 y y) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) 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)) |
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 #s(literal 1 binary64) y) (*.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64)) |
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (- (+ 1 (* y (- x 1))) x))))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (neg.f64 y) y (-.f64 y #s(literal 1 binary64)))) y #s(literal 1 binary64)) |
(* -1 (* y (- 1 x))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) y) |
(* y (+ (* -1 (- 1 x)) (* (pow y 2) (- x 1)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) y)) |
(* y (+ (* -1 (- 1 x)) (* (pow y 2) (- (+ x (* (pow y 2) (- x 1))) 1)))) |
(*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))) y) |
(* y (+ (* -1 (- 1 x)) (* (pow y 2) (- (+ x (* (pow y 2) (- (* (pow y 2) (- x 1)) (* -1 (- x 1))))) 1)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) y)) |
(* -1 y) |
(neg.f64 y) |
(* y (- (* -1 (pow y 2)) 1)) |
(-.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) y) |
(* y (- (* (pow y 2) (- (* -1 (pow y 2)) 1)) 1)) |
(*.f64 (fma.f64 (-.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) y) y #s(literal -1 binary64)) y) |
(* y (- (* (pow y 2) (- (* (pow y 2) (- (* -1 (pow y 2)) 1)) 1)) 1)) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) y) y #s(literal -1 binary64)) (*.f64 y y) #s(literal -1 binary64)) y) |
(+ 1 (* -1 (- 1 x))) |
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) |
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (- x 1) y)))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (* -1 (/ (- x 1) y))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) |
(+ 1 (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (+ (* -1 (/ (- x 1) y)) (* -1 (/ (- x 1) (pow y 3))))))) |
(-.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 x #s(literal 1 binary64))) y)) |
(* -1 (/ (- 1 x) y)) |
(/.f64 (-.f64 x #s(literal 1 binary64)) y) |
(/ (+ (* -1 (- 1 x)) (* -1 (/ (- x 1) y))) y) |
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) |
(/ (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (* -1 (/ (- x 1) y)))) y) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 x #s(literal 1 binary64))) y) |
(/ (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (+ (* -1 (/ (- x 1) y)) (* -1 (/ (- x 1) (pow y 3)))))) y) |
(/.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 x #s(literal 1 binary64))) y)) y) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (+ 1 (/ 1 y)))) |
(-.f64 #s(literal -1 binary64) y) |
(* -1 (* y (+ 1 (/ 1 y)))) |
(-.f64 #s(literal -1 binary64) y) |
(* -1 (* y (+ 1 (/ 1 y)))) |
(-.f64 #s(literal -1 binary64) y) |
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 (+.f64 x (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) y)) (+.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.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 (+.f64 x (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) y)) (+.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 x y))) |
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 #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 (+.f64 x (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) y)) (+.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 x y))) |
x |
(+ x (* -1 (/ x y))) |
(-.f64 x (/.f64 x y)) |
(- (+ x (/ x (pow y 2))) (/ x y)) |
(-.f64 x (/.f64 (-.f64 x (/.f64 x y)) y)) |
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) |
(-.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x y)) y)) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) |
1 |
#s(literal 1 binary64) |
(- 1 (/ 1 y)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) |
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) |
(-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) |
(-.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) |
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 (* -1 (- 1 x))) |
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) |
(- (+ 1 (+ (* -1 (- 1 x)) (/ 1 y))) (/ x y)) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -1 (- 1 x)) (+ (/ 1 y) (/ x (pow y 2))))) (+ (/ 1 (pow y 2)) (/ x y))) |
(-.f64 (+.f64 (-.f64 (+.f64 (/.f64 (/.f64 x y) y) (/.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (/.f64 x y))) |
(- (+ 1 (+ (* -1 (- 1 x)) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) |
(+.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) y)) (+.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 x y)))) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- (+ 1 (/ 1 (pow y 2))) (+ x (/ x (pow y 2)))) y) |
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) y))) |
(/ (- (+ 1 (/ 1 (pow y 4))) (+ x (+ (* -1 (/ (- 1 x) (pow y 2))) (/ x (pow y 4))))) y) |
(/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) x) (-.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) y))) y) |
(/ (- (+ 1 (/ 1 (pow y 6))) (+ x (+ (* -1 (/ (- 1 x) (pow y 2))) (+ (* -1 (/ (- 1 x) (pow y 4))) (/ x (pow y 6)))))) y) |
(/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) x) (fma.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) y) y)) (/.f64 x (pow.f64 y #s(literal 6 binary64))))) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ (+ 1 (/ 1 (pow y 2))) y) |
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) #s(literal 1 binary64)) y) |
(/ (+ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow y 4)))) y) |
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) y) |
(/ (+ 1 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow y 4)) (/ 1 (pow y 6))))) y) |
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) #s(literal 1 binary64))) y) |
(+ 1 (* -1 (- 1 x))) |
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) |
(- (+ 1 (+ (* -1 (- 1 x)) (/ 1 y))) (/ x y)) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y)))) |
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(*.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 (* y (- 1 y))) (- (pow y 2) 1))) |
(/.f64 (*.f64 (-.f64 (*.f64 x y) x) y) (fma.f64 y y #s(literal -1 binary64))) |
(* x (+ (* -1 (/ (* y (- 1 y)) (- (pow y 2) 1))) (+ (/ 1 x) (/ (* y (- 1 y)) (* x (- (pow y 2) 1)))))) |
(fma.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y #s(literal -1 binary64) (/.f64 y x))) x #s(literal 1 binary64)) |
(* x (+ (* -1 (/ (* y (- 1 y)) (- (pow y 2) 1))) (+ (/ 1 x) (/ (* y (- 1 y)) (* x (- (pow y 2) 1)))))) |
(fma.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y #s(literal -1 binary64) (/.f64 y x))) x #s(literal 1 binary64)) |
(* x (+ (* -1 (/ (* y (- 1 y)) (- (pow y 2) 1))) (+ (/ 1 x) (/ (* y (- 1 y)) (* x (- (pow y 2) 1)))))) |
(fma.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y #s(literal -1 binary64) (/.f64 y x))) x #s(literal 1 binary64)) |
(* -1 (/ (* x y) (- (pow y 2) 1))) |
(*.f64 (neg.f64 x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) |
(* x (+ (* -1 (/ y (- (pow y 2) 1))) (/ y (* x (- (pow y 2) 1))))) |
(*.f64 (neg.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) |
(* x (+ (* -1 (/ y (- (pow y 2) 1))) (/ y (* x (- (pow y 2) 1))))) |
(*.f64 (neg.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) |
(* x (+ (* -1 (/ y (- (pow y 2) 1))) (/ y (* x (- (pow y 2) 1))))) |
(*.f64 (neg.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x) |
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x))))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) x #s(literal 1 binary64)) |
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x))))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) x #s(literal 1 binary64)) |
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x))))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) x #s(literal 1 binary64)) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 y #s(literal 1 binary64))) |
(* -1 (* x (- (/ 1 (* x (+ 1 y))) (/ 1 (+ 1 y))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x y x))) x) |
(* -1 (* x (- (/ 1 (* x (+ 1 y))) (/ 1 (+ 1 y))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x y x))) x) |
(* -1 (* x (- (/ 1 (* x (+ 1 y))) (/ 1 (+ 1 y))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 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 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) x #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) x #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) x #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) x #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) x #s(literal 1 binary64)) |
(* -1 (* x (- (/ 1 y) 1))) |
(-.f64 x (/.f64 x y)) |
(* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y)))))) |
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) x (-.f64 x (/.f64 x y))) |
(* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y)))))) |
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) x (-.f64 x (/.f64 x y))) |
(* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y)))))) |
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) x (-.f64 x (/.f64 x y))) |
(/ x y) |
(/.f64 x y) |
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) |
(fma.f64 x (/.f64 (/.f64 #s(literal -1 binary64) y) x) (/.f64 x y)) |
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) |
(fma.f64 x (/.f64 (/.f64 #s(literal -1 binary64) y) x) (/.f64 x y)) |
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) |
(fma.f64 x (/.f64 (/.f64 #s(literal -1 binary64) y) x) (/.f64 x 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) x #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) x #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) 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) |
(* -1 (/ (* x (* y (- 1 y))) (- (pow y 2) 1))) |
(/.f64 (*.f64 (-.f64 (*.f64 x y) x) y) (fma.f64 y y #s(literal -1 binary64))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (/ (* y (- 1 y)) (- (pow y 2) 1))) x)) (/ (* y (- 1 y)) (- (pow y 2) 1))))) |
(*.f64 (fma.f64 (neg.f64 (-.f64 #s(literal 1 binary64) y)) (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 y (fma.f64 y y #s(literal -1 binary64))) #s(literal 1 binary64)) x)) x) |
(* -1 (* x (+ (* -1 (/ (+ 1 (/ (* y (- 1 y)) (- (pow y 2) 1))) x)) (/ (* y (- 1 y)) (- (pow y 2) 1))))) |
(*.f64 (fma.f64 (neg.f64 (-.f64 #s(literal 1 binary64) y)) (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 y (fma.f64 y y #s(literal -1 binary64))) #s(literal 1 binary64)) x)) x) |
(* -1 (* x (+ (* -1 (/ (+ 1 (/ (* y (- 1 y)) (- (pow y 2) 1))) x)) (/ (* y (- 1 y)) (- (pow y 2) 1))))) |
(*.f64 (fma.f64 (neg.f64 (-.f64 #s(literal 1 binary64) y)) (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 y (fma.f64 y y #s(literal -1 binary64))) #s(literal 1 binary64)) x)) x) |
(* -1 (/ (* x y) (- (pow y 2) 1))) |
(*.f64 (neg.f64 x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) |
(* -1 (* x (+ (* -1 (/ y (* x (- (pow y 2) 1)))) (/ y (- (pow y 2) 1))))) |
(*.f64 (neg.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) |
(* -1 (* x (+ (* -1 (/ y (* x (- (pow y 2) 1)))) (/ y (- (pow y 2) 1))))) |
(*.f64 (neg.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) |
(* -1 (* x (+ (* -1 (/ y (* x (- (pow y 2) 1)))) (/ y (- (pow y 2) 1))))) |
(*.f64 (neg.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) |
| 4 778× | lower-*.f32 |
| 4 774× | lower-*.f64 |
| 4 632× | lower-/.f32 |
| 4 624× | lower-/.f64 |
| 3 044× | lower-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 135 |
| 0 | 45 | 135 |
| 1 | 209 | 132 |
| 2 | 1912 | 132 |
| 0 | 8383 | 132 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) |
(-.f64 #s(literal 1 binary64) x) |
(-.f64 #s(literal -1 binary64) y) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.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))) (*.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)) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) |
(/.f64 y (fma.f64 y y #s(literal -1 binary64))) |
| Outputs |
|---|
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))) (pow.f64 (+.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 (+.f64 #s(literal 1 binary64) y) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64))) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))) (pow.f64 (fma.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64))) (pow.f64 (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 (expm1.f64 (*.f64 (-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (log1p.f64 y)) #s(literal 2 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64)) (expm1.f64 (*.f64 (-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (log1p.f64 y)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.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 (+.f64 #s(literal 1 binary64) y) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x)) (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 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (log1p.f64 y)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))))) (neg.f64 (neg.f64 (+.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 (+.f64 #s(literal 1 binary64) y) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x)) (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 (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64)))) |
(/.f64 (-.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))) (*.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 (+.f64 #s(literal 1 binary64) y) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)))) (pow.f64 (fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x)) (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 (fma.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)))) (*.f64 (fma.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
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(/.f64 (*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) y) (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) y) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 y)) (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 y y #s(literal -1 binary64)) y))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) y) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (neg.f64 y)) (*.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (/.f64 (fma.f64 y y #s(literal -1 binary64)) y))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) y) (*.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) y))) |
(/.f64 (*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y))) (neg.f64 (-.f64 y #s(literal 1 binary64)))) |
(/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x)) (-.f64 y #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (fma.f64 y y #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 y y #s(literal -1 binary64)) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(fma.f64 (/.f64 y (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64)) (*.f64 (neg.f64 x) (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) |
(fma.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 y (neg.f64 y))) (*.f64 (neg.f64 x) (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) |
(fma.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 x) (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) |
(fma.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) y (*.f64 (neg.f64 x) (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) |
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) #s(literal -1 binary64)) (*.f64 (neg.f64 x) (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) |
(fma.f64 (neg.f64 y) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)) (*.f64 (neg.f64 x) (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) |
(fma.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) #s(literal 1 binary64) (*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (neg.f64 x))) |
(fma.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (*.f64 (neg.f64 x) (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) |
(fma.f64 y (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 x) (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) |
(+.f64 (*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (neg.f64 x))) |
(+.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (*.f64 (neg.f64 x) (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) |
(*.f64 (/.f64 y (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64))) |
(*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 y (neg.f64 y)))) |
(*.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) y) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) #s(literal -1 binary64))) |
(*.f64 (neg.f64 y) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) |
(*.f64 y (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) y) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))))) |
(/.f64 (neg.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y))) (neg.f64 (-.f64 y #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(/.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (*.f64 y y))) |
(/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 y #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) y) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) y))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) y) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal -1 binary64)) y)) |
(/.f64 y (fma.f64 y y #s(literal -1 binary64))) |
(neg.f64 (/.f64 (neg.f64 y) (fma.f64 y y #s(literal -1 binary64)))) |
(neg.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) y)) #s(literal -1 binary64))) |
Compiled 14 954 to 2 188 computations (85.4% saved)
19 alts after pruning (16 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 830 | 11 | 841 |
| Fresh | 3 | 5 | 8 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 835 | 19 | 854 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 79.4% | (fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) y #s(literal 1 binary64)) |
| 42.0% | (fma.f64 #s(approx (* (- 1 x) (/ y (+ (* y y) -1))) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) | |
| ✓ | 79.5% | (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
| 42.1% | (fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) | |
| 52.6% | (fma.f64 y #s(approx (/ (- 1 x) (- -1 y)) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) | |
| ▶ | 41.7% | (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64))))) |
| 27.9% | (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x))) | |
| ▶ | 48.6% | #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)) |
| 39.7% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y))) | |
| 48.5% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 (-.f64 (+.f64 (+.f64 x (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) y)) (+.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 x y)))) | |
| 49.0% | #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))) | |
| ✓ | 48.7% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))) |
| 48.7% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y))) | |
| 37.5% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x #s(approx (/ (- x 1) y) (/.f64 x y)))) | |
| 13.4% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)) x)) | |
| 37.6% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x)) | |
| ▶ | 13.6% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (- x 1) y)) (/.f64 #s(literal 1 binary64) y))) |
| ▶ | 14.4% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 x y))) |
| ✓ | 41.1% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
Compiled 344 to 277 computations (19.5% saved)
| 1× | egg-herbie |
Found 18 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 | (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x) | |
| cost-diff | 0 | #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)) | |
| cost-diff | 0 | (+.f64 y #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 y (+.f64 y #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64))))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | #s(approx (- x (/ (- x 1) y)) (/.f64 #s(literal 1 binary64) y)) | |
| cost-diff | 0 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (- x 1) y)) (/.f64 #s(literal 1 binary64) y))) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | #s(approx (* (/ y (+ y 1)) x) (*.f64 x y)) | |
| cost-diff | 0 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 x y))) | |
| cost-diff | 0 | (+.f64 y #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) y #s(literal 1 binary64)) | |
| cost-diff | 704 | (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) |
| 12 260× | lower-fma.f32 |
| 12 256× | lower-fma.f64 |
| 2 176× | lower-+.f32 |
| 2 174× | lower-+.f64 |
| 1 818× | lower--.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 213 |
| 0 | 47 | 213 |
| 1 | 81 | 213 |
| 2 | 162 | 211 |
| 3 | 414 | 206 |
| 4 | 1376 | 206 |
| 5 | 3923 | 206 |
| 6 | 5927 | 206 |
| 7 | 6734 | 206 |
| 8 | 6982 | 206 |
| 9 | 7074 | 206 |
| 10 | 7151 | 206 |
| 11 | 7209 | 206 |
| 12 | 7323 | 206 |
| 13 | 7471 | 206 |
| 14 | 7471 | 206 |
| 15 | 7471 | 206 |
| 16 | 7978 | 206 |
| 0 | 8154 | 206 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) y #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) |
#s(literal -1 binary64) |
(/.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(+.f64 y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
(-.f64 #s(literal 1 binary64) x) |
x |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 x y))) |
#s(approx (* (/ y (+ y 1)) x) (*.f64 x y)) |
(*.f64 x y) |
x |
y |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (- x 1) y)) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (- x (/ (- x 1) y)) (/.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 y (+.f64 y #s(literal 1 binary64))))) |
#s(literal 1 binary64) |
#s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(/.f64 y (+.f64 y #s(literal 1 binary64))) |
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)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
y |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
| Outputs |
|---|
(fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) y #s(literal 1 binary64)) |
(fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal -1 binary64))) |
#s(literal -1 binary64) |
(/.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 x #s(literal 1 binary64))) |
(+.f64 y #s(literal 1 binary64)) |
(-.f64 y #s(literal -1 binary64)) |
y |
#s(literal 1 binary64) |
(-.f64 #s(literal 1 binary64) x) |
x |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 x y))) |
#s(approx (* (/ y (+ y 1)) x) (*.f64 x y)) |
(*.f64 x y) |
x |
y |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (- x 1) y)) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (- x (/ (- x 1) y)) (/.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 y (+.f64 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(literal 1 binary64) |
#s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
#s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (-.f64 y #s(literal -1 binary64)))) |
(/.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(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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) x)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) x) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
y |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) | |
| accuracy | 0.0078125 | (/.f64 (-.f64 #s(literal 1 binary64) x) y) | |
| accuracy | 0.09765625 | (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x) | |
| accuracy | 32.9051028403779 | #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)) | |
| accuracy | 0 | (+.f64 y #s(literal 1 binary64)) | |
| accuracy | 0.0078125 | (/.f64 y (+.f64 y #s(literal 1 binary64))) | |
| accuracy | 13.164372888543314 | (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64))))) | |
| accuracy | 30.97378969851468 | #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) y) | |
| accuracy | 32.839272367683314 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (- x 1) y)) (/.f64 #s(literal 1 binary64) y))) | |
| accuracy | 37.93712948514126 | #s(approx (- x (/ (- x 1) y)) (/.f64 #s(literal 1 binary64) y)) | |
| accuracy | 0 | (*.f64 x y) | |
| accuracy | 30.11163219356869 | #s(approx (* (/ y (+ y 1)) x) (*.f64 x y)) | |
| accuracy | 32.44613394493701 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 x y))) | |
| accuracy | 0 | (+.f64 y #s(literal 1 binary64)) | |
| accuracy | 0.0234375 | (/.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.12109375 | (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) | |
| accuracy | 13.126209779878074 | (fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) y #s(literal 1 binary64)) |
| 98.0ms | 201× | 0 | valid |
| 63.0ms | 47× | 1 | valid |
| 4.0ms | 8× | 2 | valid |
Compiled 160 to 26 computations (83.8% saved)
ival-mult: 46.0ms (52.2% of total)ival-sub: 20.0ms (22.7% of total)ival-div: 13.0ms (14.8% of total)ival-add: 5.0ms (5.7% of total)adjust: 3.0ms (3.4% 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) (/.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) (patch (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) y #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 (+.f64 y #s(literal 1 binary64)) (-.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>) () ()) |
#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 x y))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 x y))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ y (+ y 1)) x) (*.f64 x y)) (patch #s(approx (* (/ y (+ y 1)) x) (*.f64 x y)) #<representation binary64>) () ()) |
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (- x 1) y)) (/.f64 #s(literal 1 binary64) y))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (- x 1) y)) (/.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ()) |
#s(alt #s(approx (- x (/ (- x 1) y)) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (- x (/ (- x 1) y)) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64))))) (patch (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64))))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) #<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 #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)) (patch #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)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x) (patch (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x) #<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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (patch (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 (- 1 x)) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) (patch (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* y (- x 1))) (* -1 (- 1 x))) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) (patch (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (- 1 x)) (* y (+ (* -1 (* y (- 1 x))) (* -1 (- x 1))))) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) (patch (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (- 1 x)) (* y (+ (* -1 (- x 1)) (* y (+ (* -1 (* y (- x 1))) (* -1 (- 1 x))))))) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) (patch (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* y (- 1 x)))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* y (+ (* -1 (* y (- x 1))) (* -1 (- 1 x))))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* y (+ (* -1 (- 1 x)) (* y (+ (* -1 (* y (- 1 x))) (* -1 (- x 1))))))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (- 1 x)) (taylor 0 y) (#s(alt (/.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ 1 (- 1 x)) (/ y (- 1 x))) (taylor 0 y) (#s(alt (/.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ 1 (- 1 x)) (/ y (- 1 x))) (taylor 0 y) (#s(alt (/.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ 1 (- 1 x)) (/ y (- 1 x))) (taylor 0 y) (#s(alt (/.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 x y))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* y (- x 1))) (taylor 0 y) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 x y))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 x 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 (* (/ y (+ y 1)) x) (*.f64 x y))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 x 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 (* (/ y (+ y 1)) x) (*.f64 x y))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt #s(approx (* (/ y (+ y 1)) x) (*.f64 x y)) (patch #s(approx (* (/ y (+ y 1)) x) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt #s(approx (* (/ y (+ y 1)) x) (*.f64 x y)) (patch #s(approx (* (/ y (+ y 1)) x) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* y (- (* x y) x)))) (taylor 0 y) (#s(alt #s(approx (* (/ y (+ y 1)) x) (*.f64 x y)) (patch #s(approx (* (/ y (+ y 1)) x) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))) (taylor 0 y) (#s(alt #s(approx (* (/ y (+ y 1)) x) (*.f64 x y)) (patch #s(approx (* (/ y (+ y 1)) x) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (- x 1) y)) (/.f64 #s(literal 1 binary64) y))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (- x 1) y)) (/.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 (/ (- x 1) y)) (/.f64 #s(literal 1 binary64) y))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (- x 1) y)) (/.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 (/ (- x 1) y)) (/.f64 #s(literal 1 binary64) y))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (- x 1) y)) (/.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 (/ (- x 1) y)) (/.f64 #s(literal 1 binary64) y))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (- x 1) y)) (/.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 1 x) y) (taylor 0 y) (#s(alt #s(approx (- x (/ (- x 1) y)) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (- x (/ (- x 1) y)) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 1 (* x y)) x) y) (taylor 0 y) (#s(alt #s(approx (- x (/ (- x 1) y)) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (- x (/ (- x 1) y)) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 1 (* x y)) x) y) (taylor 0 y) (#s(alt #s(approx (- x (/ (- x 1) y)) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (- x (/ (- x 1) y)) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 1 (* x y)) x) y) (taylor 0 y) (#s(alt #s(approx (- x (/ (- x 1) y)) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (- x (/ (- x 1) y)) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64))))) (patch (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 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) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64))))) (patch (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 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) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64))))) (patch (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 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) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64))))) (patch (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- 1 x)) (taylor 0 y) (#s(alt #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ 1 (* y (- x 1))) x)) (taylor 0 y) (#s(alt #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 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 #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 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 #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 y) (#s(alt (/.f64 y (+.f64 y #s(literal 1 binary64))) (patch (/.f64 y (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1 y))) (taylor 0 y) (#s(alt (/.f64 y (+.f64 y #s(literal 1 binary64))) (patch (/.f64 y (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* y (- y 1)))) (taylor 0 y) (#s(alt (/.f64 y (+.f64 y #s(literal 1 binary64))) (patch (/.f64 y (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))) (taylor 0 y) (#s(alt (/.f64 y (+.f64 y #s(literal 1 binary64))) (patch (/.f64 y (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (* (/ y (+ y 1)) x) (*.f64 x y)) (patch #s(approx (* (/ y (+ y 1)) x) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (* (/ y (+ y 1)) x) (*.f64 x y)) (patch #s(approx (* (/ y (+ y 1)) x) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y)))))) (taylor -inf x) (#s(alt #s(approx (- x (/ (- x 1) y)) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (- x (/ (- x 1) y)) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (/ (* x y) (+ 1 y))) (taylor -inf x) (#s(alt #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
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#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 y (+.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #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))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x)) (patch #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)) #<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))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x)) (patch #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)) #<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))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x)) (patch #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)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- (+ (* -1 (/ (- (/ 1 y) (/ 1 (pow y 2))) x)) (/ 1 y)) (+ 1 (/ 1 (pow y 2)))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x) (patch (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x) #<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>) () ())) ()) |
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#s(alt (* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
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#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 | |
|---|---|---|---|---|
| 19.0ms | x | @ | inf | ((/ -1 (/ (+ y 1) (- 1 x))) (+ (* (/ -1 (/ (+ y 1) (- 1 x))) y) 1) (/ (+ y 1) (- 1 x)) (+ y 1) (- 1 (/ (* (- 1 x) y) (+ y 1))) (* (/ y (+ y 1)) x) (* x y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- x (/ (- x 1) y)) (/ 1 y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (/ (* (- 1 x) y) (+ y 1)) (/ y (+ y 1)) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) x) (/ (- 1 x) y) (- 1 x) (- 1 (/ 1 y))) |
| 3.0ms | x | @ | -inf | ((/ -1 (/ (+ y 1) (- 1 x))) (+ (* (/ -1 (/ (+ y 1) (- 1 x))) y) 1) (/ (+ y 1) (- 1 x)) (+ y 1) (- 1 (/ (* (- 1 x) y) (+ y 1))) (* (/ y (+ y 1)) x) (* x y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- x (/ (- x 1) y)) (/ 1 y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (/ (* (- 1 x) y) (+ y 1)) (/ y (+ y 1)) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) x) (/ (- 1 x) y) (- 1 x) (- 1 (/ 1 y))) |
| 2.0ms | y | @ | -inf | ((/ -1 (/ (+ y 1) (- 1 x))) (+ (* (/ -1 (/ (+ y 1) (- 1 x))) y) 1) (/ (+ y 1) (- 1 x)) (+ y 1) (- 1 (/ (* (- 1 x) y) (+ y 1))) (* (/ y (+ y 1)) x) (* x y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- x (/ (- x 1) y)) (/ 1 y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (/ (* (- 1 x) y) (+ y 1)) (/ y (+ y 1)) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) x) (/ (- 1 x) y) (- 1 x) (- 1 (/ 1 y))) |
| 2.0ms | x | @ | 0 | ((/ -1 (/ (+ y 1) (- 1 x))) (+ (* (/ -1 (/ (+ y 1) (- 1 x))) y) 1) (/ (+ y 1) (- 1 x)) (+ y 1) (- 1 (/ (* (- 1 x) y) (+ y 1))) (* (/ y (+ y 1)) x) (* x y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- x (/ (- x 1) y)) (/ 1 y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (/ (* (- 1 x) y) (+ y 1)) (/ y (+ y 1)) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) x) (/ (- 1 x) y) (- 1 x) (- 1 (/ 1 y))) |
| 2.0ms | y | @ | 0 | ((/ -1 (/ (+ y 1) (- 1 x))) (+ (* (/ -1 (/ (+ y 1) (- 1 x))) y) 1) (/ (+ y 1) (- 1 x)) (+ y 1) (- 1 (/ (* (- 1 x) y) (+ y 1))) (* (/ y (+ y 1)) x) (* x y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- x (/ (- x 1) y)) (/ 1 y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (/ (* (- 1 x) y) (+ y 1)) (/ y (+ y 1)) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) x) (/ (- 1 x) y) (- 1 x) (- 1 (/ 1 y))) |
| 1× | egg-herbie |
| 17 512× | lower-fma.f64 |
| 17 512× | lower-fma.f32 |
| 5 448× | lower-+.f64 |
| 5 448× | lower-+.f32 |
| 3 860× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 352 | 4239 |
| 1 | 1110 | 3716 |
| 2 | 3273 | 3310 |
| 0 | 8187 | 3183 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (- 1 x)) |
(+ (* -1 (* y (- x 1))) (* -1 (- 1 x))) |
(+ (* -1 (- 1 x)) (* y (+ (* -1 (* y (- 1 x))) (* -1 (- x 1))))) |
(+ (* -1 (- 1 x)) (* y (+ (* -1 (- x 1)) (* y (+ (* -1 (* y (- x 1))) (* -1 (- 1 x))))))) |
1 |
(+ 1 (* -1 (* y (- 1 x)))) |
(+ 1 (* y (+ (* -1 (* y (- x 1))) (* -1 (- 1 x))))) |
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (+ (* -1 (* y (- 1 x))) (* -1 (- x 1))))))) |
(/ 1 (- 1 x)) |
(+ (/ 1 (- 1 x)) (/ y (- 1 x))) |
(+ (/ 1 (- 1 x)) (/ y (- 1 x))) |
(+ (/ 1 (- 1 x)) (/ y (- 1 x))) |
1 |
(+ 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)))) |
(* x y) |
(* x y) |
(* x y) |
(* 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 x) y) |
(/ (- (+ 1 (* x y)) x) y) |
(/ (- (+ 1 (* x y)) x) y) |
(/ (- (+ 1 (* x y)) x) 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))) |
(* 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 |
(* 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 x) (pow y 2))) |
(/ (+ (* -1 (- 1 x)) (* y (- 1 x))) (pow y 2)) |
(/ (+ (* -1 (- 1 x)) (* y (- (+ 1 (* x y)) x))) (pow y 2)) |
(/ (+ (* -1 (- 1 x)) (* y (- (+ 1 (* x y)) x))) (pow y 2)) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ -1 y) |
(/ (- y 1) y) |
(/ (- y 1) y) |
(/ (- y 1) y) |
(* -1 (/ (- 1 x) y)) |
(/ (+ (* -1 (- 1 x)) (* -1 (/ (- x 1) y))) y) |
(/ (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (* -1 (/ (- x 1) y)))) y) |
(/ (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (+ (* -1 (/ (- x 1) y)) (* -1 (/ (- x 1) (pow y 3)))))) y) |
(+ 1 (* -1 (- 1 x))) |
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (- x 1) y)))) |
(+ 1 (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (* -1 (/ (- x 1) y))))) |
(+ 1 (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (+ (* -1 (/ (- x 1) y)) (* -1 (/ (- x 1) (pow y 3))))))) |
(/ y (- 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)))) |
y |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 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))) |
(* 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)) |
(/ 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)))))) |
(- 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 |
(- 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)))))) |
x |
(- (+ x (/ 1 y)) (/ x y)) |
(- (+ x (+ (* -1 (/ (- 1 x) (pow y 2))) (/ 1 y))) (/ x y)) |
(- (+ x (+ (* -1 (/ (- 1 x) (pow y 2))) (/ 1 y))) (/ x y)) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
1 |
(- 1 (/ 1 y)) |
(- 1 (/ 1 y)) |
(- 1 (/ 1 y)) |
(* -1 (/ (- 1 x) y)) |
(* -1 (/ (- (+ 1 (/ x y)) (+ x (/ 1 y))) y)) |
(* -1 (/ (- (+ 1 (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) x) y)) |
(* -1 (/ (- (+ 1 (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) y))) x) y)) |
x |
(- (* -1 (/ (- x 1) y)) (* -1 x)) |
(- (* -1 (/ (- (+ x (* -1 (/ (- x 1) y))) 1) y)) (* -1 x)) |
(- (* -1 (/ (- (+ x (* -1 (/ (- (+ x (* -1 (/ (- x 1) y))) 1) y))) 1) y)) (* -1 x)) |
(/ y (- 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)))) |
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))) |
x |
(+ x (* -1 (/ x y))) |
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) |
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) 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))) |
(/ 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))) |
(- 1 x) |
(- (+ 1 (/ x y)) (+ x (/ 1 y))) |
(- (+ 1 (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) x) |
(- (+ 1 (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) y))) x) |
1 |
(- 1 (/ 1 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))) |
x |
(- (+ x (/ 1 y)) (/ x y)) |
(+ x (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y))) |
(+ x (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y))) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
1 |
(- 1 (/ 1 y)) |
(- 1 (/ 1 y)) |
(- 1 (/ 1 y)) |
(/ -1 (+ 1 y)) |
(- (/ x (+ 1 y)) (/ 1 (+ 1 y))) |
(- (/ x (+ 1 y)) (/ 1 (+ 1 y))) |
(- (/ x (+ 1 y)) (/ 1 (+ 1 y))) |
(+ 1 (* -1 (/ y (+ 1 y)))) |
(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))) |
(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))) |
(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))) |
(+ 1 y) |
(+ 1 (+ y (* x (+ 1 y)))) |
(+ 1 (+ y (* x (- (* x (+ 1 y)) (* -1 (+ 1 y)))))) |
(+ 1 (+ y (* x (- (* x (- (* x (+ 1 y)) (* -1 (+ 1 y)))) (* -1 (+ 1 y)))))) |
(- 1 (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(- 1 (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(/ 1 y) |
(+ (* x (- 1 (/ 1 y))) (/ 1 y)) |
(+ (* x (- 1 (/ 1 y))) (/ 1 y)) |
(+ (* x (- 1 (/ 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))) |
(/ 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 y) (/ 1 (pow y 2))) |
(- (+ (* x (+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))) (/ 1 y)) (/ 1 (pow y 2))) |
(- (+ (* x (+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))) (/ 1 y)) (/ 1 (pow y 2))) |
(- (+ (* x (+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))) (/ 1 y)) (/ 1 (pow y 2))) |
(/ 1 y) |
(+ (* -1 (/ x y)) (/ 1 y)) |
(+ (* -1 (/ x y)) (/ 1 y)) |
(+ (* -1 (/ x y)) (/ 1 y)) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(/ x (+ 1 y)) |
(* x (- (/ 1 (+ 1 y)) (/ 1 (* x (+ 1 y))))) |
(* x (- (/ 1 (+ 1 y)) (/ 1 (* x (+ 1 y))))) |
(* x (- (/ 1 (+ 1 y)) (/ 1 (* x (+ 1 y))))) |
(/ (* x y) (+ 1 y)) |
(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y))))) |
(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y))))) |
(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y))))) |
(* -1 (/ (+ 1 y) x)) |
(/ (+ (* -1 (+ 1 y)) (* -1 (/ (+ 1 y) x))) x) |
(/ (- (+ (* -1 (+ 1 y)) (* -1 (/ (+ 1 y) (pow x 2)))) (+ (/ 1 x) (/ y x))) x) |
(/ (- (+ (* -1 (+ 1 y)) (* -1 (/ (+ 1 y) (pow x 3)))) (+ (/ 1 x) (+ (/ 1 (pow x 2)) (+ (/ y x) (/ y (pow x 2)))))) 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) |
(* 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) (+ 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))))) |
(/ (* 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 (/ (- 1 (/ 1 y)) y)))) |
(* x (- (+ 1 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (/ 1 (* x y)))) (/ 1 (* x (pow y 2))))) |
(* x (- (+ 1 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (/ 1 (* x y)))) (/ 1 (* x (pow y 2))))) |
(* x (- (+ 1 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (/ 1 (* x y)))) (/ 1 (* x (pow y 2))))) |
(* -1 (/ x y)) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(/ x (+ 1 y)) |
(* -1 (* x (- (/ 1 (* x (+ 1 y))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (/ 1 (* x (+ 1 y))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (/ 1 (* x (+ 1 y))) (/ 1 (+ 1 y))))) |
(/ (* x y) (+ 1 y)) |
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x))))) |
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x))))) |
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x))))) |
(* -1 (/ (+ 1 y) x)) |
(* -1 (/ (+ 1 (+ y (+ (/ 1 x) (/ y x)))) x)) |
(* -1 (/ (+ 1 (+ y (* -1 (/ (- (* -1 (/ (+ 1 y) x)) (+ 1 y)) x)))) x)) |
(* -1 (/ (+ 1 (+ y (* -1 (/ (- (* -1 (/ (- (+ (/ 1 x) (/ y x)) (* -1 (+ 1 y))) x)) (+ 1 y)) x)))) 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) |
(* 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 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))))) |
(/ (* 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 (pow y 2)))))) |
(* -1 (* x (- (+ (* -1 (/ (- (/ 1 y) (/ 1 (pow y 2))) x)) (/ 1 y)) (+ 1 (/ 1 (pow y 2)))))) |
(* -1 (* x (- (+ (* -1 (/ (- (/ 1 y) (/ 1 (pow y 2))) x)) (/ 1 y)) (+ 1 (/ 1 (pow y 2)))))) |
(* -1 (* x (- (+ (* -1 (/ (- (/ 1 y) (/ 1 (pow y 2))) x)) (/ 1 y)) (+ 1 (/ 1 (pow y 2)))))) |
(* -1 (/ x y)) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
| Outputs |
|---|
(* -1 (- 1 x)) |
(-.f64 x #s(literal 1 binary64)) |
(+ (* -1 (* y (- x 1))) (* -1 (- 1 x))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(+ (* -1 (- 1 x)) (* y (+ (* -1 (* y (- 1 x))) (* -1 (- x 1))))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (neg.f64 y) y (-.f64 y #s(literal 1 binary64)))) |
(+ (* -1 (- 1 x)) (* y (+ (* -1 (- x 1)) (* y (+ (* -1 (* y (- x 1))) (* -1 (- 1 x))))))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* y (- 1 x)))) |
(fma.f64 y (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* y (+ (* -1 (* y (- x 1))) (* -1 (- 1 x))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (+ (* -1 (* y (- 1 x))) (* -1 (- x 1))))))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (neg.f64 y) y (-.f64 y #s(literal 1 binary64)))) y #s(literal 1 binary64)) |
(/ 1 (- 1 x)) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) |
(+ (/ 1 (- 1 x)) (/ y (- 1 x))) |
(*.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) |
(+ (/ 1 (- 1 x)) (/ y (- 1 x))) |
(*.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) |
(+ (/ 1 (- 1 x)) (/ y (- 1 x))) |
(*.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) 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 |
#s(literal 1 binary64) |
(+ 1 (* y (- x 1))) |
(fma.f64 y (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* y (- (+ x (* y (- 1 x))) 1))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (neg.f64 y) y (-.f64 y #s(literal 1 binary64)))) y #s(literal 1 binary64)) |
(* x y) |
(*.f64 y x) |
(* y (+ x (* -1 (* x y)))) |
(*.f64 (-.f64 x (*.f64 y x)) y) |
(* y (+ x (* y (- (* x y) x)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 y x) x) y x) y) |
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 x (*.f64 y x)) y) x) y x) y) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* y (- x 1))) |
(fma.f64 y (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* y (- (+ x (* y (- 1 x))) 1))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (neg.f64 y) y (-.f64 y #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 y x (-.f64 #s(literal 1 binary64) x)) y) |
(/ (- (+ 1 (* x y)) x) y) |
(/.f64 (fma.f64 y x (-.f64 #s(literal 1 binary64) x)) y) |
(/ (- (+ 1 (* x y)) x) y) |
(/.f64 (fma.f64 y x (-.f64 #s(literal 1 binary64) x)) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* y (- x 1))) |
(fma.f64 y (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* y (- (+ x (* y (- 1 x))) 1))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (neg.f64 y) y (-.f64 y #s(literal 1 binary64)))) y #s(literal 1 binary64)) |
(* y (- 1 x)) |
(*.f64 y (-.f64 #s(literal 1 binary64) x)) |
(* y (- (+ 1 (* y (- x 1))) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (-.f64 #s(literal 1 binary64) x))) |
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(*.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) x #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) x #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) x #s(literal 1 binary64)) |
(* -1 (* x (- (/ 1 y) 1))) |
(-.f64 x (/.f64 x y)) |
(* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y)))))) |
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) x (-.f64 x (/.f64 x y))) |
(* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y)))))) |
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) x (-.f64 x (/.f64 x y))) |
(* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y)))))) |
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) x (-.f64 x (/.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) x #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) x #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) x #s(literal 1 binary64)) |
(* -1 (/ (* x y) (+ 1 y))) |
(*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) x) |
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))))) |
(*.f64 (neg.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.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 (neg.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.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 (neg.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (+.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 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) x #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) x #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) x #s(literal 1 binary64)) |
(* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (pow y 2)))))) |
(-.f64 x (/.f64 (-.f64 x (/.f64 x y)) y)) |
(* -1 (* x (- (+ (* -1 (/ (- (/ 1 y) (/ 1 (pow y 2))) x)) (/ 1 y)) (+ 1 (/ 1 (pow y 2)))))) |
(fma.f64 (fma.f64 (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y) #s(literal -1 binary64) (/.f64 (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y) x)) x x) |
(* -1 (* x (- (+ (* -1 (/ (- (/ 1 y) (/ 1 (pow y 2))) x)) (/ 1 y)) (+ 1 (/ 1 (pow y 2)))))) |
(fma.f64 (fma.f64 (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y) #s(literal -1 binary64) (/.f64 (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y) x)) x x) |
(* -1 (* x (- (+ (* -1 (/ (- (/ 1 y) (/ 1 (pow y 2))) x)) (/ 1 y)) (+ 1 (/ 1 (pow y 2)))))) |
(fma.f64 (fma.f64 (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y) #s(literal -1 binary64) (/.f64 (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y) x)) x x) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) y)) x) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) y)) x) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) y)) 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) |
| 5 058× | lower-*.f32 |
| 5 056× | lower-*.f64 |
| 4 798× | lower-/.f32 |
| 4 788× | lower-/.f64 |
| 2 950× | lower-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 191 |
| 0 | 47 | 191 |
| 1 | 211 | 189 |
| 2 | 1902 | 189 |
| 0 | 8688 | 189 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) y #s(literal 1 binary64)) |
(/.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(+.f64 y #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 x y))) |
#s(approx (* (/ y (+ y 1)) x) (*.f64 x y)) |
(*.f64 x y) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (- x 1) y)) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (- x (/ (- x 1) y)) (/.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 y (+.f64 y #s(literal 1 binary64))))) |
#s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(/.f64 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)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(-.f64 #s(literal 1 binary64) x) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (pow.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y))) |
(pow.f64 (/.f64 (fma.f64 y #s(literal -1 binary64) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y))) (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 y #s(literal -1 binary64) #s(literal -1 binary64))) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) |
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y #s(literal -1 binary64) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x))) |
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y)) (neg.f64 x))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y)) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 y #s(literal -1 binary64) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y))) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y)))) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y)) (neg.f64 x))) |
(*.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (log1p.f64 y)) #s(literal 2 binary64))) (pow.f64 (fma.f64 (neg.f64 y) (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 (neg.f64 y) (/.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (neg.f64 y) (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) (expm1.f64 (*.f64 (-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (log1p.f64 y)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 (neg.f64 y) (/.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x)))) (+.f64 (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (log1p.f64 y)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (neg.f64 y) (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 (neg.f64 y) (/.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) (fma.f64 (neg.f64 y) (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))) (*.f64 (fma.f64 (neg.f64 y) (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (neg.f64 y) (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) (fma.f64 (neg.f64 y) (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (/.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (log1p.f64 y)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (neg.f64 y) (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) (/.f64 (neg.f64 y) (/.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x))))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 (neg.f64 y) (/.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (/.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (log1p.f64 y)) #s(literal 2 binary64))) (fma.f64 (neg.f64 y) (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) (/.f64 (neg.f64 y) (/.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 (neg.f64 y) (/.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 y) (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) (expm1.f64 (*.f64 (-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (log1p.f64 y)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 (neg.f64 y) (/.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x)))) (+.f64 (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (neg.f64 y) (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) (expm1.f64 (*.f64 (-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (log1p.f64 y)) #s(literal 2 binary64)))))) |
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(-.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal -2 binary64)) (+.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(-.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))) (pow.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))) (pow.f64 y #s(literal -1 binary64))))) |
(-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) |
(+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) |
Compiled 13 711 to 1 964 computations (85.7% saved)
21 alts after pruning (15 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 820 | 9 | 829 |
| Fresh | 5 | 6 | 11 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 827 | 21 | 848 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 77.2% | (fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x))) y #s(literal 1 binary64)) |
| 42.1% | (fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ (+ y 1) (- 1 x)) (+.f64 y #s(literal 1 binary64)))) y #s(literal 1 binary64)) | |
| 52.6% | (fma.f64 #s(approx (/ -1 (/ (+ y 1) (- 1 x))) (-.f64 x #s(literal 1 binary64))) y #s(literal 1 binary64)) | |
| ▶ | 42.0% | (fma.f64 #s(approx (* (- 1 x) (/ y (+ (* y y) -1))) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
| ✓ | 79.5% | (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
| 41.7% | (-.f64 (pow.f64 (fma.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) (+.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64)) (fma.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) (+.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) #s(literal 1 binary64)))) | |
| ✓ | 41.7% | (-.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 (/ y (+ y 1)) #s(literal 1 binary64)))) | |
| 34.8% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (-.f64 y (*.f64 x y)) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x)) | |
| ▶ | 39.7% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y))) |
| 48.5% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 (-.f64 (+.f64 (+.f64 x (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) y)) (+.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 x y)))) | |
| 49.0% | #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))) | |
| ✓ | 48.7% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))) |
| 48.7% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y))) | |
| 37.5% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x #s(approx (/ (- x 1) y) (/.f64 x y)))) | |
| ✓ | 13.6% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (- x 1) y)) (/.f64 #s(literal 1 binary64) y))) |
| 12.9% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) x) (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y))) | |
| ▶ | 13.5% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 (-.f64 x (*.f64 y x)) y))) |
| ✓ | 14.4% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 x y))) |
| ✓ | 41.1% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
| ▶ | 37.6% | #s(approx (+ (* (/ -1 (/ (+ y 1) (- 1 x))) y) 1) x) |
Compiled 430 to 299 computations (30.5% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 y y #s(literal -1 binary64)) | |
| cost-diff | 0 | (/.f64 y (fma.f64 y y #s(literal -1 binary64))) | |
| cost-diff | 0 | #s(approx (* (- 1 x) (/ y (+ (* y y) -1))) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) | |
| cost-diff | 0 | (fma.f64 #s(approx (* (- 1 x) (/ y (+ (* y y) -1))) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y)) | |
| cost-diff | 0 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y))) | |
| cost-diff | 0 | (-.f64 x (*.f64 y x)) | |
| cost-diff | 0 | (*.f64 (-.f64 x (*.f64 y x)) y) | |
| cost-diff | 0 | #s(approx (* (/ y (+ y 1)) x) (*.f64 (-.f64 x (*.f64 y x)) y)) | |
| cost-diff | 0 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 (-.f64 x (*.f64 y x)) y))) | |
| cost-diff | 0 | #s(approx (+ (* (/ -1 (/ (+ y 1) (- 1 x))) y) 1) x) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal -1 binary64) y) x) | |
| cost-diff | 0 | #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x))) | |
| cost-diff | 192 | (fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x))) y #s(literal 1 binary64)) |
| 7 280× | lower-fma.f32 |
| 7 274× | lower-fma.f64 |
| 2 352× | lower-*.f32 |
| 2 346× | lower-*.f64 |
| 1 676× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 223 |
| 0 | 55 | 223 |
| 1 | 96 | 222 |
| 2 | 184 | 221 |
| 3 | 429 | 220 |
| 4 | 1078 | 220 |
| 5 | 2802 | 220 |
| 6 | 4479 | 220 |
| 7 | 6178 | 220 |
| 8 | 7172 | 220 |
| 9 | 7914 | 220 |
| 0 | 8091 | 217 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x))) y #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x))) |
#s(literal -1 binary64) |
#s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x)) |
(/.f64 (-.f64 #s(literal -1 binary64) y) x) |
(-.f64 #s(literal -1 binary64) y) |
y |
x |
#s(literal 1 binary64) |
#s(approx (+ (* (/ -1 (/ (+ y 1) (- 1 x))) y) 1) x) |
x |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 (-.f64 x (*.f64 y x)) y))) |
#s(approx (* (/ y (+ y 1)) x) (*.f64 (-.f64 x (*.f64 y x)) y)) |
(*.f64 (-.f64 x (*.f64 y x)) y) |
(-.f64 x (*.f64 y x)) |
x |
(*.f64 y x) |
y |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y))) |
(/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y)) |
(*.f64 x y) |
x |
y |
(+.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
(fma.f64 #s(approx (* (- 1 x) (/ y (+ (* y y) -1))) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
#s(approx (* (- 1 x) (/ y (+ (* y y) -1))) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) |
(/.f64 y (fma.f64 y y #s(literal -1 binary64))) |
y |
(fma.f64 y y #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
| Outputs |
|---|
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x))) y #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (/.f64 y #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x)))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x))) |
#s(literal -1 binary64) |
#s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x)) |
(/.f64 (-.f64 #s(literal -1 binary64) y) x) |
(-.f64 #s(literal -1 binary64) y) |
y |
x |
#s(literal 1 binary64) |
#s(approx (+ (* (/ -1 (/ (+ y 1) (- 1 x))) y) 1) x) |
x |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 (-.f64 x (*.f64 y x)) y))) |
#s(approx (+ (* (/ -1 (/ (+ y 1) (- 1 x))) y) 1) #s(approx (* (/ y (+ y 1)) x) (*.f64 (-.f64 x (*.f64 x y)) y))) |
#s(approx (* (/ y (+ y 1)) x) (*.f64 (-.f64 x (*.f64 y x)) y)) |
#s(approx (* (/ y (+ y 1)) x) (*.f64 (-.f64 x (*.f64 x y)) y)) |
(*.f64 (-.f64 x (*.f64 y x)) y) |
(*.f64 (-.f64 x (*.f64 x y)) y) |
(-.f64 x (*.f64 y x)) |
(-.f64 x (*.f64 x y)) |
x |
(*.f64 y x) |
(*.f64 x y) |
y |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y))) |
#s(approx (+ (* (/ -1 (/ (+ y 1) (- 1 x))) y) 1) (*.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) y)) |
(/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) y) |
(*.f64 x y) |
x |
y |
(+.f64 #s(literal 1 binary64) y) |
(-.f64 y #s(literal -1 binary64)) |
#s(literal 1 binary64) |
(fma.f64 #s(approx (* (- 1 x) (/ y (+ (* y y) -1))) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) #s(approx (* (- 1 x) (/ y (+ (* y y) -1))) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) #s(literal 1 binary64)) |
#s(approx (* (- 1 x) (/ y (+ (* y y) -1))) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) |
(/.f64 y (fma.f64 y y #s(literal -1 binary64))) |
y |
(fma.f64 y y #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 #s(literal 1 binary64) y) | |
| accuracy | 13.12544684257605 | (fma.f64 #s(approx (* (- 1 x) (/ y (+ (* y y) -1))) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) | |
| accuracy | 14.474812309069618 | (/.f64 y (fma.f64 y y #s(literal -1 binary64))) | |
| accuracy | 30.859085348211547 | #s(approx (* (- 1 x) (/ y (+ (* y y) -1))) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) | |
| accuracy | 0 | (+.f64 #s(literal 1 binary64) y) | |
| accuracy | 0 | (*.f64 x y) | |
| accuracy | 6.145458932136682 | (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y)) | |
| accuracy | 32.44613394493701 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y))) | |
| accuracy | 0.0078125 | (-.f64 x (*.f64 y x)) | |
| accuracy | 0.078125 | (*.f64 (-.f64 x (*.f64 y x)) y) | |
| accuracy | 30.64385370148661 | #s(approx (* (/ y (+ y 1)) x) (*.f64 (-.f64 x (*.f64 y x)) y)) | |
| accuracy | 32.44613394493701 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 (-.f64 x (*.f64 y x)) y))) | |
| accuracy | 39.946011599510925 | #s(approx (+ (* (/ -1 (/ (+ y 1) (- 1 x))) y) 1) x) | |
| accuracy | 0.01171875 | (/.f64 (-.f64 #s(literal -1 binary64) y) x) | |
| accuracy | 0.12109375 | (/.f64 #s(literal -1 binary64) #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x))) | |
| accuracy | 13.126209779878074 | (fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x))) y #s(literal 1 binary64)) | |
| accuracy | 31.972441780982095 | #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x)) |
| 73.0ms | 201× | 0 | valid |
| 23.0ms | 47× | 1 | valid |
| 5.0ms | 8× | 2 | valid |
Compiled 165 to 32 computations (80.6% saved)
ival-mult: 25.0ms (43.2% of total)ival-div: 15.0ms (25.9% of total)ival-sub: 7.0ms (12.1% of total)ival-add: 7.0ms (12.1% of total)adjust: 4.0ms (6.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x))) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x))) y #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x))) (patch (/.f64 #s(literal -1 binary64) #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x)) (patch #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 #s(literal -1 binary64) y) x) (patch (/.f64 (-.f64 #s(literal -1 binary64) y) x) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (/ -1 (/ (+ y 1) (- 1 x))) y) 1) x) (patch #s(approx (+ (* (/ -1 (/ (+ y 1) (- 1 x))) y) 1) x) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 (-.f64 x (*.f64 y x)) y))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 (-.f64 x (*.f64 y x)) y))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ y (+ y 1)) x) (*.f64 (-.f64 x (*.f64 y x)) y)) (patch #s(approx (* (/ y (+ y 1)) x) (*.f64 (-.f64 x (*.f64 y x)) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 x (*.f64 y x)) y) (patch (*.f64 (-.f64 x (*.f64 y x)) y) #<representation binary64>) () ()) |
#s(alt (-.f64 x (*.f64 y x)) (patch (-.f64 x (*.f64 y x)) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 1 binary64) y) (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(approx (* (- 1 x) (/ y (+ (* y y) -1))) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (patch (fma.f64 #s(approx (* (- 1 x) (/ y (+ (* y y) -1))) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (* (- 1 x) (/ y (+ (* y y) -1))) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (patch #s(approx (* (- 1 x) (/ y (+ (* y y) -1))) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 y (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 y y #s(literal -1 binary64)) (patch (fma.f64 y 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 (fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x))) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x))) y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* y (- 1 x)))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x))) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x))) y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* y (+ (* -1 (* y (- x 1))) (* -1 (- 1 x))))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x))) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x))) y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* x (+ 1 (* -1 y))) (taylor -inf x) (#s(alt (-.f64 x (*.f64 y x)) (patch (-.f64 x (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (/.f64 (*.f64 x y) (+.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))) (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (/.f64 (*.f64 x y) (+.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))) (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (/.f64 (*.f64 x y) (+.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))) (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (* y (- 1 y))) (- (pow y 2) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (* (- 1 x) (/ y (+ (* y y) -1))) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (patch (fma.f64 #s(approx (* (- 1 x) (/ y (+ (* y y) -1))) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ (+ 1 (/ (* y (- 1 y)) (- (pow y 2) 1))) x)) (/ (* y (- 1 y)) (- (pow y 2) 1))))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (* (- 1 x) (/ y (+ (* y y) -1))) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (patch (fma.f64 #s(approx (* (- 1 x) (/ y (+ (* y y) -1))) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ (+ 1 (/ (* y (- 1 y)) (- (pow y 2) 1))) x)) (/ (* y (- 1 y)) (- (pow y 2) 1))))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (* (- 1 x) (/ y (+ (* y y) -1))) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (patch (fma.f64 #s(approx (* (- 1 x) (/ y (+ (* y y) -1))) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ (+ 1 (/ (* y (- 1 y)) (- (pow y 2) 1))) x)) (/ (* y (- 1 y)) (- (pow y 2) 1))))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (* (- 1 x) (/ y (+ (* y y) -1))) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (patch (fma.f64 #s(approx (* (- 1 x) (/ y (+ (* y y) -1))) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x y) (- (pow y 2) 1))) (taylor -inf x) (#s(alt #s(approx (* (- 1 x) (/ y (+ (* y y) -1))) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (patch #s(approx (* (- 1 x) (/ y (+ (* y y) -1))) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ y (* x (- (pow y 2) 1)))) (/ y (- (pow y 2) 1))))) (taylor -inf x) (#s(alt #s(approx (* (- 1 x) (/ y (+ (* y y) -1))) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (patch #s(approx (* (- 1 x) (/ y (+ (* y y) -1))) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ y (* x (- (pow y 2) 1)))) (/ y (- (pow y 2) 1))))) (taylor -inf x) (#s(alt #s(approx (* (- 1 x) (/ y (+ (* y y) -1))) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (patch #s(approx (* (- 1 x) (/ y (+ (* y y) -1))) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ y (* x (- (pow y 2) 1)))) (/ y (- (pow y 2) 1))))) (taylor -inf x) (#s(alt #s(approx (* (- 1 x) (/ y (+ (* y y) -1))) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (patch #s(approx (* (- 1 x) (/ y (+ (* y y) -1))) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | y | @ | -inf | ((+ (* (/ -1 (/ (+ y 1) (- 1 x))) y) 1) (/ -1 (/ (+ y 1) (- 1 x))) (/ (+ y 1) (- 1 x)) (/ (- -1 y) x) (+ (* (/ -1 (/ (+ y 1) (- 1 x))) y) 1) (- 1 (/ (* (- 1 x) y) (+ y 1))) (* (/ y (+ y 1)) x) (* (- x (* y x)) y) (- x (* y x)) (- 1 (/ (* (- 1 x) y) (+ y 1))) (/ (* x y) (+ 1 y)) (* x y) (+ 1 y) (+ (* (* (- 1 x) (/ y (+ (* y y) -1))) (- 1 y)) 1) (* (- 1 x) (/ y (+ (* y y) -1))) (/ y (+ (* y y) -1)) (+ (* y y) -1) (- 1 y)) |
| 2.0ms | x | @ | -inf | ((+ (* (/ -1 (/ (+ y 1) (- 1 x))) y) 1) (/ -1 (/ (+ y 1) (- 1 x))) (/ (+ y 1) (- 1 x)) (/ (- -1 y) x) (+ (* (/ -1 (/ (+ y 1) (- 1 x))) y) 1) (- 1 (/ (* (- 1 x) y) (+ y 1))) (* (/ y (+ y 1)) x) (* (- x (* y x)) y) (- x (* y x)) (- 1 (/ (* (- 1 x) y) (+ y 1))) (/ (* x y) (+ 1 y)) (* x y) (+ 1 y) (+ (* (* (- 1 x) (/ y (+ (* y y) -1))) (- 1 y)) 1) (* (- 1 x) (/ y (+ (* y y) -1))) (/ y (+ (* y y) -1)) (+ (* y y) -1) (- 1 y)) |
| 2.0ms | x | @ | inf | ((+ (* (/ -1 (/ (+ y 1) (- 1 x))) y) 1) (/ -1 (/ (+ y 1) (- 1 x))) (/ (+ y 1) (- 1 x)) (/ (- -1 y) x) (+ (* (/ -1 (/ (+ y 1) (- 1 x))) y) 1) (- 1 (/ (* (- 1 x) y) (+ y 1))) (* (/ y (+ y 1)) x) (* (- x (* y x)) y) (- x (* y x)) (- 1 (/ (* (- 1 x) y) (+ y 1))) (/ (* x y) (+ 1 y)) (* x y) (+ 1 y) (+ (* (* (- 1 x) (/ y (+ (* y y) -1))) (- 1 y)) 1) (* (- 1 x) (/ y (+ (* y y) -1))) (/ y (+ (* y y) -1)) (+ (* y y) -1) (- 1 y)) |
| 2.0ms | x | @ | 0 | ((+ (* (/ -1 (/ (+ y 1) (- 1 x))) y) 1) (/ -1 (/ (+ y 1) (- 1 x))) (/ (+ y 1) (- 1 x)) (/ (- -1 y) x) (+ (* (/ -1 (/ (+ y 1) (- 1 x))) y) 1) (- 1 (/ (* (- 1 x) y) (+ y 1))) (* (/ y (+ y 1)) x) (* (- x (* y x)) y) (- x (* y x)) (- 1 (/ (* (- 1 x) y) (+ y 1))) (/ (* x y) (+ 1 y)) (* x y) (+ 1 y) (+ (* (* (- 1 x) (/ y (+ (* y y) -1))) (- 1 y)) 1) (* (- 1 x) (/ y (+ (* y y) -1))) (/ y (+ (* y y) -1)) (+ (* y y) -1) (- 1 y)) |
| 2.0ms | y | @ | 0 | ((+ (* (/ -1 (/ (+ y 1) (- 1 x))) y) 1) (/ -1 (/ (+ y 1) (- 1 x))) (/ (+ y 1) (- 1 x)) (/ (- -1 y) x) (+ (* (/ -1 (/ (+ y 1) (- 1 x))) y) 1) (- 1 (/ (* (- 1 x) y) (+ y 1))) (* (/ y (+ y 1)) x) (* (- x (* y x)) y) (- x (* y x)) (- 1 (/ (* (- 1 x) y) (+ y 1))) (/ (* x y) (+ 1 y)) (* x y) (+ 1 y) (+ (* (* (- 1 x) (/ y (+ (* y y) -1))) (- 1 y)) 1) (* (- 1 x) (/ y (+ (* y y) -1))) (/ y (+ (* y y) -1)) (+ (* y y) -1) (- 1 y)) |
| 1× | egg-herbie |
| 14 128× | lower-fma.f64 |
| 14 128× | lower-fma.f32 |
| 4 040× | lower-*.f64 |
| 4 040× | lower-*.f32 |
| 3 904× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 421 | 4274 |
| 1 | 1344 | 3842 |
| 2 | 4084 | 3727 |
| 0 | 8213 | 3544 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* -1 (* y (- 1 x)))) |
(+ 1 (* y (+ (* -1 (* y (- x 1))) (* -1 (- 1 x))))) |
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (+ (* -1 (* y (- 1 x))) (* -1 (- x 1))))))) |
(* -1 (- 1 x)) |
(+ (* -1 (* y (- x 1))) (* -1 (- 1 x))) |
(+ (* -1 (- 1 x)) (* y (+ (* -1 (* y (- 1 x))) (* -1 (- x 1))))) |
(+ (* -1 (- 1 x)) (* y (+ (* -1 (- x 1)) (* y (+ (* -1 (* y (- x 1))) (* -1 (- 1 x))))))) |
(/ 1 (- 1 x)) |
(+ (/ 1 (- 1 x)) (/ y (- 1 x))) |
(+ (/ 1 (- 1 x)) (/ y (- 1 x))) |
(+ (/ 1 (- 1 x)) (/ y (- 1 x))) |
(/ -1 x) |
(- (* -1 (/ y x)) (/ 1 x)) |
(- (* -1 (/ y x)) (/ 1 x)) |
(- (* -1 (/ y x)) (/ 1 x)) |
1 |
(+ 1 (* -1 (* y (- 1 x)))) |
(+ 1 (* y (+ (* -1 (* y (- x 1))) (* -1 (- 1 x))))) |
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (+ (* -1 (* y (- 1 x))) (* -1 (- x 1))))))) |
1 |
(+ 1 (* 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 y) |
(* y (+ x (* -1 (* x y)))) |
(* y (+ x (* -1 (* x y)))) |
(* y (+ x (* -1 (* x y)))) |
x |
(+ x (* -1 (* x y))) |
(+ x (* -1 (* x y))) |
(+ x (* -1 (* x 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 y) |
(* x y) |
(* x y) |
(* x y) |
1 |
(+ 1 y) |
(+ 1 y) |
(+ 1 y) |
1 |
(+ 1 (* -1 (* y (- 1 x)))) |
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x))))) |
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (- (+ 1 (* y (- x 1))) x))))) |
(* -1 (* y (- 1 x))) |
(* y (+ (* -1 (- 1 x)) (* (pow y 2) (- x 1)))) |
(* y (+ (* -1 (- 1 x)) (* (pow y 2) (- (+ x (* (pow y 2) (- x 1))) 1)))) |
(* y (+ (* -1 (- 1 x)) (* (pow y 2) (- (+ x (* (pow y 2) (- (* (pow y 2) (- x 1)) (* -1 (- x 1))))) 1)))) |
(* -1 y) |
(* y (- (* -1 (pow y 2)) 1)) |
(* y (- (* (pow y 2) (- (* -1 (pow y 2)) 1)) 1)) |
(* y (- (* (pow y 2) (- (* (pow y 2) (- (* -1 (pow y 2)) 1)) 1)) 1)) |
-1 |
(- (pow y 2) 1) |
(- (pow y 2) 1) |
(- (pow y 2) 1) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(+ 1 (* -1 (- 1 x))) |
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (- x 1) y)))) |
(+ 1 (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (* -1 (/ (- x 1) y))))) |
(+ 1 (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (+ (* -1 (/ (- x 1) y)) (* -1 (/ (- x 1) (pow y 3))))))) |
(* -1 (/ (- 1 x) y)) |
(/ (+ (* -1 (- 1 x)) (* -1 (/ (- x 1) y))) y) |
(/ (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (* -1 (/ (- x 1) y)))) y) |
(/ (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (+ (* -1 (/ (- x 1) y)) (* -1 (/ (- x 1) (pow y 3)))))) y) |
(/ y (- 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 (/ y x)) |
(* -1 (* y (+ (/ 1 x) (/ 1 (* x y))))) |
(* -1 (* y (+ (/ 1 x) (/ 1 (* x y))))) |
(* -1 (* y (+ (/ 1 x) (/ 1 (* x y))))) |
(+ 1 (* -1 (- 1 x))) |
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (- x 1) y)))) |
(+ 1 (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (* -1 (/ (- x 1) y))))) |
(+ 1 (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (+ (* -1 (/ (- x 1) y)) (* -1 (/ (- x 1) (pow y 3))))))) |
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 (* 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 (* x y)) |
(* y (- (/ x y) x)) |
(* y (- (/ x y) x)) |
(* y (- (/ 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))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
y |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(+ 1 (* -1 (- 1 x))) |
(- (+ 1 (+ (* -1 (- 1 x)) (/ 1 y))) (/ x y)) |
(- (+ 1 (+ (* -1 (- 1 x)) (+ (/ 1 y) (/ x (pow y 2))))) (+ (/ 1 (pow y 2)) (/ x y))) |
(- (+ 1 (+ (* -1 (- 1 x)) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) |
(/ (- 1 x) y) |
(/ (- (+ 1 (/ 1 (pow y 2))) (+ x (/ x (pow y 2)))) y) |
(/ (- (+ 1 (/ 1 (pow y 4))) (+ x (+ (* -1 (/ (- 1 x) (pow y 2))) (/ x (pow y 4))))) y) |
(/ (- (+ 1 (/ 1 (pow y 6))) (+ x (+ (* -1 (/ (- 1 x) (pow y 2))) (+ (* -1 (/ (- 1 x) (pow y 4))) (/ x (pow y 6)))))) y) |
(/ 1 y) |
(/ (+ 1 (/ 1 (pow y 2))) y) |
(/ (+ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow y 4)))) y) |
(/ (+ 1 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow y 4)) (/ 1 (pow y 6))))) y) |
(pow y 2) |
(* (pow y 2) (- 1 (/ 1 (pow y 2)))) |
(* (pow y 2) (- 1 (/ 1 (pow y 2)))) |
(* (pow y 2) (- 1 (/ 1 (pow y 2)))) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
x |
(- (* -1 (/ (- x 1) y)) (* -1 x)) |
(- (* -1 (/ (- (+ x (* -1 (/ (- x 1) y))) 1) y)) (* -1 x)) |
(- (* -1 (/ (- (+ x (* -1 (/ (- (+ x (* -1 (/ (- x 1) y))) 1) y))) 1) y)) (* -1 x)) |
(* -1 (/ (- 1 x) y)) |
(* -1 (/ (- (+ 1 (/ x y)) (+ x (/ 1 y))) y)) |
(* -1 (/ (- (+ 1 (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) x) y)) |
(* -1 (/ (- (+ 1 (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) y))) x) y)) |
(/ y (- 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 (/ y x)) |
(* -1 (* y (+ (/ 1 x) (/ 1 (* x y))))) |
(* -1 (* y (+ (/ 1 x) (/ 1 (* x y))))) |
(* -1 (* y (+ (/ 1 x) (/ 1 (* x y))))) |
x |
(- (* -1 (/ (- x 1) y)) (* -1 x)) |
(- (* -1 (/ (- (+ x (* -1 (/ (- x 1) y))) 1) y)) (* -1 x)) |
(- (* -1 (/ (- (+ x (* -1 (/ (- (+ x (* -1 (/ (- x 1) y))) 1) y))) 1) y)) (* -1 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 (* 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 (* x y)) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 x)))) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 x)))) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 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))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
y |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(+ 1 (* -1 (- 1 x))) |
(- (+ 1 (+ (* -1 (- 1 x)) (/ 1 y))) (/ x y)) |
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y)))) |
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y))) y)))) |
(/ (- 1 x) y) |
(* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ (- 1 x) (pow y 2)))) y)) |
(* -1 (/ (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (* -1 (/ (- 1 x) (pow y 4))))) y)) |
(* -1 (/ (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (+ (* -1 (/ (- 1 x) (pow y 4))) (* -1 (/ (- 1 x) (pow y 6)))))) y)) |
(/ 1 y) |
(/ (+ 1 (/ 1 (pow y 2))) y) |
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow y 2))) (pow y 2))) 1) y)) |
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow y 2))) (pow y 4))) (+ 1 (/ 1 (pow y 2)))) y)) |
(pow y 2) |
(* (pow y 2) (- 1 (/ 1 (pow y 2)))) |
(* (pow y 2) (- 1 (/ 1 (pow y 2)))) |
(* (pow y 2) (- 1 (/ 1 (pow y 2)))) |
(* -1 y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(+ 1 (* -1 (/ y (+ 1 y)))) |
(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))) |
(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))) |
(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))) |
(/ -1 (+ 1 y)) |
(- (/ x (+ 1 y)) (/ 1 (+ 1 y))) |
(- (/ x (+ 1 y)) (/ 1 (+ 1 y))) |
(- (/ x (+ 1 y)) (/ 1 (+ 1 y))) |
(+ 1 y) |
(+ 1 (+ y (* x (+ 1 y)))) |
(+ 1 (+ y (* x (- (* x (+ 1 y)) (* -1 (+ 1 y)))))) |
(+ 1 (+ y (* x (- (* x (- (* x (+ 1 y)) (* -1 (+ 1 y)))) (* -1 (+ 1 y)))))) |
(* -1 (/ (+ 1 y) x)) |
(* -1 (/ (+ 1 y) x)) |
(* -1 (/ (+ 1 y) x)) |
(* -1 (/ (+ 1 y) x)) |
(+ 1 (* -1 (/ y (+ 1 y)))) |
(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))) |
(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))) |
(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))) |
(- 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 (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(- 1 (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(+ 1 (/ (* y (- 1 y)) (- (pow y 2) 1))) |
(+ 1 (+ (* -1 (/ (* x (* y (- 1 y))) (- (pow y 2) 1))) (/ (* y (- 1 y)) (- (pow y 2) 1)))) |
(+ 1 (+ (* -1 (/ (* x (* y (- 1 y))) (- (pow y 2) 1))) (/ (* y (- 1 y)) (- (pow y 2) 1)))) |
(+ 1 (+ (* -1 (/ (* x (* y (- 1 y))) (- (pow y 2) 1))) (/ (* y (- 1 y)) (- (pow y 2) 1)))) |
(/ y (- (pow y 2) 1)) |
(+ (* -1 (/ (* x y) (- (pow y 2) 1))) (/ y (- (pow y 2) 1))) |
(+ (* -1 (/ (* x y) (- (pow y 2) 1))) (/ y (- (pow y 2) 1))) |
(+ (* -1 (/ (* x y) (- (pow y 2) 1))) (/ y (- (pow y 2) 1))) |
(/ (* x y) (+ 1 y)) |
(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y))))) |
(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y))))) |
(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y))))) |
(/ x (+ 1 y)) |
(* x (- (/ 1 (+ 1 y)) (/ 1 (* x (+ 1 y))))) |
(* x (- (/ 1 (+ 1 y)) (/ 1 (* x (+ 1 y))))) |
(* x (- (/ 1 (+ 1 y)) (/ 1 (* x (+ 1 y))))) |
(* -1 (/ (+ 1 y) x)) |
(/ (+ (* -1 (+ 1 y)) (* -1 (/ (+ 1 y) x))) x) |
(/ (- (+ (* -1 (+ 1 y)) (* -1 (/ (+ 1 y) (pow x 2)))) (+ (/ 1 x) (/ y x))) x) |
(/ (- (+ (* -1 (+ 1 y)) (* -1 (/ (+ 1 y) (pow x 3)))) (+ (/ 1 x) (+ (/ 1 (pow x 2)) (+ (/ y x) (/ y (pow x 2)))))) x) |
(* -1 (/ (+ 1 y) x)) |
(* -1 (/ (+ 1 y) x)) |
(* -1 (/ (+ 1 y) x)) |
(* -1 (/ (+ 1 y) x)) |
(/ (* x y) (+ 1 y)) |
(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y))))) |
(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y))))) |
(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y))))) |
(/ (* x y) (+ 1 y)) |
(* 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 (* 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 y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (/ (* x (* y (- 1 y))) (- (pow y 2) 1))) |
(* x (+ (* -1 (/ (* y (- 1 y)) (- (pow y 2) 1))) (+ (/ 1 x) (/ (* y (- 1 y)) (* x (- (pow y 2) 1)))))) |
(* x (+ (* -1 (/ (* y (- 1 y)) (- (pow y 2) 1))) (+ (/ 1 x) (/ (* y (- 1 y)) (* x (- (pow y 2) 1)))))) |
(* x (+ (* -1 (/ (* y (- 1 y)) (- (pow y 2) 1))) (+ (/ 1 x) (/ (* y (- 1 y)) (* x (- (pow y 2) 1)))))) |
(* -1 (/ (* x y) (- (pow y 2) 1))) |
(* x (+ (* -1 (/ y (- (pow y 2) 1))) (/ y (* x (- (pow y 2) 1))))) |
(* x (+ (* -1 (/ y (- (pow y 2) 1))) (/ y (* x (- (pow y 2) 1))))) |
(* x (+ (* -1 (/ y (- (pow y 2) 1))) (/ y (* x (- (pow y 2) 1))))) |
(/ (* x y) (+ 1 y)) |
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x))))) |
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x))))) |
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x))))) |
(/ x (+ 1 y)) |
(* -1 (* x (- (/ 1 (* x (+ 1 y))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (/ 1 (* x (+ 1 y))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (/ 1 (* x (+ 1 y))) (/ 1 (+ 1 y))))) |
(* -1 (/ (+ 1 y) x)) |
(* -1 (/ (+ 1 (+ y (+ (/ 1 x) (/ y x)))) x)) |
(* -1 (/ (+ 1 (+ y (* -1 (/ (- (* -1 (/ (+ 1 y) x)) (+ 1 y)) x)))) x)) |
(* -1 (/ (+ 1 (+ y (* -1 (/ (- (* -1 (/ (- (+ (/ 1 x) (/ y x)) (* -1 (+ 1 y))) x)) (+ 1 y)) x)))) x)) |
(* -1 (/ (+ 1 y) x)) |
(* -1 (/ (+ 1 y) x)) |
(* -1 (/ (+ 1 y) x)) |
(* -1 (/ (+ 1 y) x)) |
(/ (* x y) (+ 1 y)) |
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x))))) |
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x))))) |
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x))))) |
(/ (* 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 (* -1 y)))) |
(* x (* y (+ 1 (* -1 y)))) |
(* x (* y (+ 1 (* -1 y)))) |
(* x (* y (+ 1 (* -1 y)))) |
(* x (+ 1 (* -1 y))) |
(* x (+ 1 (* -1 y))) |
(* x (+ 1 (* -1 y))) |
(* x (+ 1 (* -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) |
(* -1 (/ (* x (* y (- 1 y))) (- (pow y 2) 1))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (/ (* y (- 1 y)) (- (pow y 2) 1))) x)) (/ (* y (- 1 y)) (- (pow y 2) 1))))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (/ (* y (- 1 y)) (- (pow y 2) 1))) x)) (/ (* y (- 1 y)) (- (pow y 2) 1))))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (/ (* y (- 1 y)) (- (pow y 2) 1))) x)) (/ (* y (- 1 y)) (- (pow y 2) 1))))) |
(* -1 (/ (* x y) (- (pow y 2) 1))) |
(* -1 (* x (+ (* -1 (/ y (* x (- (pow y 2) 1)))) (/ y (- (pow y 2) 1))))) |
(* -1 (* x (+ (* -1 (/ y (* x (- (pow y 2) 1)))) (/ y (- (pow y 2) 1))))) |
(* -1 (* x (+ (* -1 (/ y (* x (- (pow y 2) 1)))) (/ y (- (pow y 2) 1))))) |
| Outputs |
|---|
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 (* y (- x 1))) (* -1 (- 1 x))))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (+ (* -1 (* y (- 1 x))) (* -1 (- x 1))))))) |
(fma.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) y (-.f64 x #s(literal 1 binary64))) y #s(literal 1 binary64)) |
(* -1 (- 1 x)) |
(-.f64 x #s(literal 1 binary64)) |
(+ (* -1 (* y (- x 1))) (* -1 (- 1 x))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(+ (* -1 (- 1 x)) (* y (+ (* -1 (* y (- 1 x))) (* -1 (- x 1))))) |
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) y (-.f64 x #s(literal 1 binary64))) |
(+ (* -1 (- 1 x)) (* y (+ (* -1 (- x 1)) (* y (+ (* -1 (* y (- x 1))) (* -1 (- 1 x))))))) |
(fma.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) y (-.f64 #s(literal 1 binary64) x)) y (-.f64 x #s(literal 1 binary64))) |
(/ 1 (- 1 x)) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) |
(+ (/ 1 (- 1 x)) (/ y (- 1 x))) |
(+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) |
(+ (/ 1 (- 1 x)) (/ y (- 1 x))) |
(+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) |
(+ (/ 1 (- 1 x)) (/ y (- 1 x))) |
(+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(- (* -1 (/ y x)) (/ 1 x)) |
(/.f64 (-.f64 #s(literal -1 binary64) y) x) |
(- (* -1 (/ y x)) (/ 1 x)) |
(/.f64 (-.f64 #s(literal -1 binary64) y) x) |
(- (* -1 (/ y x)) (/ 1 x)) |
(/.f64 (-.f64 #s(literal -1 binary64) y) x) |
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 (* y (- x 1))) (* -1 (- 1 x))))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (+ (* -1 (* y (- 1 x))) (* -1 (- x 1))))))) |
(fma.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 x #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 (* y (- 1 x))) 1))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) |
(fma.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 x #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) y) x) |
(* 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 (fma.f64 (-.f64 x (*.f64 x y)) y (neg.f64 x)) y x) y) |
(* 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) |
x |
(+ x (* -1 (* x y))) |
(-.f64 x (*.f64 x y)) |
(+ x (* -1 (* x y))) |
(-.f64 x (*.f64 x y)) |
(+ x (* -1 (* x y))) |
(-.f64 x (*.f64 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) y) (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) |
(fma.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 x #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) y) x) |
(* 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 (fma.f64 (-.f64 x (*.f64 x y)) y (neg.f64 x)) y x) y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 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)) |
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 #s(literal 1 binary64) x) y) (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (- (+ 1 (* y (- x 1))) x))))) |
(fma.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) y (-.f64 x #s(literal 1 binary64))) y #s(literal 1 binary64)) |
(* -1 (* y (- 1 x))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) y) |
(* y (+ (* -1 (- 1 x)) (* (pow y 2) (- x 1)))) |
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) y) |
(* y (+ (* -1 (- 1 x)) (* (pow y 2) (- (+ x (* (pow y 2) (- x 1))) 1)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) y) y (-.f64 x #s(literal 1 binary64))) y) |
(* y (+ (* -1 (- 1 x)) (* (pow y 2) (- (+ x (* (pow y 2) (- (* (pow y 2) (- x 1)) (* -1 (- x 1))))) 1)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) y) y (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) y)) |
(* -1 y) |
(neg.f64 y) |
(* y (- (* -1 (pow y 2)) 1)) |
(-.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) y) |
(* y (- (* (pow y 2) (- (* -1 (pow y 2)) 1)) 1)) |
(*.f64 (fma.f64 (-.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) y) y #s(literal -1 binary64)) y) |
(* y (- (* (pow y 2) (- (* (pow y 2) (- (* -1 (pow y 2)) 1)) 1)) 1)) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) y) y #s(literal -1 binary64)) (*.f64 y y) #s(literal -1 binary64)) y) |
-1 |
#s(literal -1 binary64) |
(- (pow y 2) 1) |
(fma.f64 y y #s(literal -1 binary64)) |
(- (pow y 2) 1) |
(fma.f64 y y #s(literal -1 binary64)) |
(- (pow y 2) 1) |
(fma.f64 y 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 (* -1 (- 1 x))) |
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) |
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (- x 1) y)))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) (-.f64 #s(literal 1 binary64) x)) |
(+ 1 (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (* -1 (/ (- x 1) y))))) |
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))) y)) (-.f64 #s(literal 1 binary64) x)) |
(+ 1 (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (+ (* -1 (/ (- x 1) y)) (* -1 (/ (- x 1) (pow y 3))))))) |
(-.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))) y) (-.f64 #s(literal 1 binary64) x)) y)) |
(* -1 (/ (- 1 x) y)) |
(/.f64 (-.f64 x #s(literal 1 binary64)) y) |
(/ (+ (* -1 (- 1 x)) (* -1 (/ (- x 1) y))) y) |
(/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y) |
(/ (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (* -1 (/ (- x 1) y)))) y) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))) y) (-.f64 #s(literal 1 binary64) x)) y) |
(/ (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (+ (* -1 (/ (- x 1) y)) (* -1 (/ (- x 1) (pow y 3)))))) y) |
(/.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))) y) (-.f64 #s(literal 1 binary64) x)) y)) y) |
(/ y (- 1 x)) |
(/.f64 y (-.f64 #s(literal 1 binary64) x)) |
(* y (+ (/ 1 (* y (- 1 x))) (/ 1 (- 1 x)))) |
(+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) |
(* y (+ (/ 1 (* y (- 1 x))) (/ 1 (- 1 x)))) |
(+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) |
(* y (+ (/ 1 (* y (- 1 x))) (/ 1 (- 1 x)))) |
(+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) |
(* -1 (/ y x)) |
(/.f64 (neg.f64 y) x) |
(* -1 (* y (+ (/ 1 x) (/ 1 (* x y))))) |
(neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (/.f64 y x))) |
(* -1 (* y (+ (/ 1 x) (/ 1 (* x y))))) |
(neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (/.f64 y x))) |
(* -1 (* y (+ (/ 1 x) (/ 1 (* x y))))) |
(neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (/.f64 y x))) |
(+ 1 (* -1 (- 1 x))) |
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) |
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (- x 1) y)))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) (-.f64 #s(literal 1 binary64) x)) |
(+ 1 (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (* -1 (/ (- x 1) y))))) |
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))) y)) (-.f64 #s(literal 1 binary64) x)) |
(+ 1 (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (+ (* -1 (/ (- x 1) y)) (* -1 (/ (- x 1) (pow y 3))))))) |
(-.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))) y) (-.f64 #s(literal 1 binary64) x)) y)) |
x |
(- (+ x (/ 1 y)) (/ x y)) |
(-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)) |
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(* -1 (* x (+ (* -1 (/ (+ 1 (/ (* y (- 1 y)) (- (pow y 2) 1))) x)) (/ (* y (- 1 y)) (- (pow y 2) 1))))) |
(*.f64 (fma.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64))) y (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 y (fma.f64 y y #s(literal -1 binary64))) #s(literal 1 binary64)) x)) x) |
(* -1 (* x (+ (* -1 (/ (+ 1 (/ (* y (- 1 y)) (- (pow y 2) 1))) x)) (/ (* y (- 1 y)) (- (pow y 2) 1))))) |
(*.f64 (fma.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64))) y (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 y (fma.f64 y y #s(literal -1 binary64))) #s(literal 1 binary64)) x)) x) |
(* -1 (* x (+ (* -1 (/ (+ 1 (/ (* y (- 1 y)) (- (pow y 2) 1))) x)) (/ (* y (- 1 y)) (- (pow y 2) 1))))) |
(*.f64 (fma.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64))) y (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 y (fma.f64 y y #s(literal -1 binary64))) #s(literal 1 binary64)) x)) x) |
(* -1 (/ (* x y) (- (pow y 2) 1))) |
(*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (/ y (* x (- (pow y 2) 1)))) (/ y (- (pow y 2) 1))))) |
(*.f64 (-.f64 (/.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) x) |
(* -1 (* x (+ (* -1 (/ y (* x (- (pow y 2) 1)))) (/ y (- (pow y 2) 1))))) |
(*.f64 (-.f64 (/.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) x) |
(* -1 (* x (+ (* -1 (/ y (* x (- (pow y 2) 1)))) (/ y (- (pow y 2) 1))))) |
(*.f64 (-.f64 (/.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) x) |
| 4 758× | lower-*.f32 |
| 4 752× | lower-*.f64 |
| 4 492× | lower-/.f32 |
| 4 484× | lower-/.f64 |
| 2 992× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 204 |
| 0 | 55 | 204 |
| 1 | 254 | 202 |
| 2 | 2096 | 202 |
| 0 | 8145 | 201 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x))) y #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x))) |
#s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x)) |
(/.f64 (-.f64 #s(literal -1 binary64) y) x) |
#s(approx (+ (* (/ -1 (/ (+ y 1) (- 1 x))) y) 1) x) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 (-.f64 x (*.f64 y x)) y))) |
#s(approx (* (/ y (+ y 1)) x) (*.f64 (-.f64 x (*.f64 y x)) y)) |
(*.f64 (-.f64 x (*.f64 y x)) y) |
(-.f64 x (*.f64 y x)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y))) |
(/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y)) |
(*.f64 x y) |
(+.f64 #s(literal 1 binary64) y) |
(fma.f64 #s(approx (* (- 1 x) (/ y (+ (* y y) -1))) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
#s(approx (* (- 1 x) (/ y (+ (* y y) -1))) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) |
(/.f64 y (fma.f64 y y #s(literal -1 binary64))) |
(fma.f64 y y #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) y) |
| Outputs |
|---|
(*.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x))) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x))) y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x))) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x))))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x))) y #s(literal -1 binary64)) (fma.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x))) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x))))) (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x))) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (neg.f64 y) #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x))) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x))) #s(literal 2 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x))) y #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x))) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x)))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (neg.f64 y) #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x))) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x))) y #s(literal -1 binary64))) (*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x))) y #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x))) y #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x))) y #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (neg.f64 y) #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x))) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x))) y #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x))) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 (neg.f64 y) #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x))) #s(literal 2 binary64)) (/.f64 (neg.f64 y) #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x))))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x))) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x))))))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x))) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x))) y #s(literal -1 binary64))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 (neg.f64 y) #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x))) #s(literal 2 binary64)) (/.f64 (neg.f64 y) #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x)))))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x))) y #s(literal -1 binary64)) (fma.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x))) #s(literal 2 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x))))) (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x))) #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x))) y #s(literal -1 binary64)) (fma.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x))) #s(literal 2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x))))) (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x))) #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(fma.f64 (neg.f64 y) (pow.f64 #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (neg.f64 y) #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x))) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x))) y #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x))) #s(literal 1 binary64)) |
(fma.f64 y (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 y (/.f64 #s(literal -1 binary64) #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x))) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 y #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x))) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x)) #s(literal -1 binary64)) y) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 (/.f64 (neg.f64 y) #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x))) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x))) y #s(literal -1 binary64))) (pow.f64 (fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x))) y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(+.f64 (/.f64 (neg.f64 y) #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x))) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x)))) |
(*.f64 (pow.f64 #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x)))) |
(*.f64 #s(literal -1 binary64) (pow.f64 #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (*.f64 #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x))) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x)) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (neg.f64 #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x)) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x)) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x)) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x))))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x))) |
(neg.f64 (pow.f64 #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x)) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x)))) #s(literal -1 binary64))) |
#s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x)) |
(*.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal -1 binary64)) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 x (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) y)) |
(*.f64 (-.f64 #s(literal -1 binary64) y) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) y) x)) |
(pow.f64 (/.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (pow.f64 x #s(literal -1 binary64)))) (neg.f64 (-.f64 y #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal -1 binary64)))) (neg.f64 (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) (neg.f64 x)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y x)))) |
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(fma.f64 (neg.f64 x) y x) |
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(-.f64 x (*.f64 x y)) |
(+.f64 (*.f64 (neg.f64 x) y) x) |
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(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 y #s(literal 1 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) (neg.f64 (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 y y)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 y y #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 y (neg.f64 y)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 y y))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal 1 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 y y #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 y y))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 y y #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 y (neg.f64 y)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 y (neg.f64 y))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 y y #s(literal 1 binary64))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 y (neg.f64 y))))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 y (neg.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 y (neg.f64 y))) (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 y (neg.f64 y))) (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64))))) |
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 y) (neg.f64 y) #s(literal -1 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 y y) #s(literal -1 binary64)) |
(fma.f64 y y #s(literal -1 binary64)) |
(expm1.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal 1 binary64))) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 (*.f64 y y) #s(literal 1 binary64)) |
(+.f64 (*.f64 y y) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (*.f64 y y)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.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 #s(literal 1 binary64) y) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (+.f64 #s(literal 1 binary64) y)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (*.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (*.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 #s(literal 1 binary64) y))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 y y))) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal 2 binary64))) |
(/.f64 (-.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 y y))) (*.f64 (-.f64 #s(literal -1 binary64) y) (+.f64 #s(literal 1 binary64) y))) |
(/.f64 (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 #s(literal 1 binary64) y) #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 #s(literal 1 binary64) y)) |
(/.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 #s(literal 1 binary64) y) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 y y))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) |
(fma.f64 y #s(literal -1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64)) |
(-.f64 (pow.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #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 #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)) |
Compiled 12 032 to 1 833 computations (84.8% saved)
21 alts after pruning (11 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 733 | 1 | 734 |
| Fresh | 0 | 10 | 10 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 6 | 6 |
| Total | 734 | 21 | 755 |
| Status | Accuracy | Program |
|---|---|---|
| 42.1% | (fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ (+ y 1) (- 1 x)) (+.f64 y #s(literal 1 binary64)))) y #s(literal 1 binary64)) | |
| 52.6% | (fma.f64 #s(approx (/ -1 (/ (+ y 1) (- 1 x))) (-.f64 x #s(literal 1 binary64))) y #s(literal 1 binary64)) | |
| ✓ | 42.0% | (fma.f64 #s(approx (* (- 1 x) (/ y (+ (* y y) -1))) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
| ✓ | 79.5% | (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
| 41.7% | (-.f64 (pow.f64 (fma.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) (+.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64)) (fma.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) (+.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) #s(literal 1 binary64)))) | |
| ✓ | 41.7% | (-.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 (/ y (+ y 1)) #s(literal 1 binary64)))) | |
| 34.8% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (-.f64 y (*.f64 x y)) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x)) | |
| ✓ | 39.7% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y))) |
| 48.5% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 (-.f64 (+.f64 (+.f64 x (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) y)) (+.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 x y)))) | |
| 49.0% | #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))) | |
| ✓ | 48.7% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))) |
| 48.7% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y))) | |
| 37.5% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x #s(approx (/ (- x 1) y) (/.f64 x y)))) | |
| ✓ | 13.6% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (- x 1) y)) (/.f64 #s(literal 1 binary64) y))) |
| 12.9% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) x) (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y))) | |
| 13.5% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (fma.f64 y x (*.f64 (*.f64 (neg.f64 x) y) y)))) | |
| ✓ | 13.5% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 (-.f64 x (*.f64 y x)) y))) |
| ✓ | 14.4% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 x y))) |
| ✓ | 41.1% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
| ✓ | 37.6% | #s(approx (+ (* (/ -1 (/ (+ y 1) (- 1 x))) y) 1) x) |
Compiled 602 to 300 computations (50.2% saved)
| Inputs |
|---|
#s(approx (+ (* (/ -1 (/ (+ y 1) (- 1 x))) y) 1) x) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(literal 1 binary64)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.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 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 y #s(approx (/ (- 1 x) (- -1 y)) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(fma.f64 #s(approx (/ -1 (/ (+ y 1) (- 1 x))) (-.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 (* (/ y (+ y 1)) x) (*.f64 (-.f64 x (*.f64 y x)) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)) x)) |
#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))) #s(approx (* (/ y (+ y 1)) x) (fma.f64 y x (*.f64 (*.f64 (neg.f64 x) y) 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 x y) (+.f64 #s(literal 1 binary64) y))) |
(fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ (+ y 1) (- 1 x)) (+.f64 y #s(literal 1 binary64)))) 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))) |
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) x) (/.f64 (/.f64 (-.f64 y #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)))) |
(fma.f64 #s(approx (* (- 1 x) (/ y (+ (* y y) -1))) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x))) 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)) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) (/.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))) (fma.f64 (/.f64 (-.f64 y (*.f64 x y)) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x)) |
#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 (-.f64 (+.f64 (+.f64 x (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) y)) (+.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 x y)))) |
(-.f64 (pow.f64 (fma.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) (+.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64)) (fma.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) (+.f64 #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
| Outputs |
|---|
#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))) |
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (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:
| 15.0ms | y |
| 14.0ms | x |
| 12.0ms | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| 9.0ms | (-.f64 #s(literal 1 binary64) x) |
| 9.0ms | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.5% | 1 | x |
| 99.9% | 3 | y |
| 99.9% | 3 | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| 99.9% | 3 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| 79.5% | 1 | (-.f64 #s(literal 1 binary64) x) |
Compiled 25 to 23 computations (8% saved)
| Inputs |
|---|
#s(approx (+ (* (/ -1 (/ (+ y 1) (- 1 x))) y) 1) x) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(literal 1 binary64)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.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 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 y #s(approx (/ (- 1 x) (- -1 y)) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(fma.f64 #s(approx (/ -1 (/ (+ y 1) (- 1 x))) (-.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 (* (/ y (+ y 1)) x) (*.f64 (-.f64 x (*.f64 y x)) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)) x)) |
#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))) #s(approx (* (/ y (+ y 1)) x) (fma.f64 y x (*.f64 (*.f64 (neg.f64 x) y) 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 x y) (+.f64 #s(literal 1 binary64) y))) |
(fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ (+ y 1) (- 1 x)) (+.f64 y #s(literal 1 binary64)))) 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))) |
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) x) (/.f64 (/.f64 (-.f64 y #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)))) |
(fma.f64 #s(approx (* (- 1 x) (/ y (+ (* y y) -1))) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x))) 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)) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) (/.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))) (fma.f64 (/.f64 (-.f64 y (*.f64 x y)) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x)) |
| Outputs |
|---|
#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)) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) 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:
| 9.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 3 | y |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (+ (* (/ -1 (/ (+ y 1) (- 1 x))) y) 1) x) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(literal 1 binary64)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.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 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 y #s(approx (/ (- 1 x) (- -1 y)) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(fma.f64 #s(approx (/ -1 (/ (+ y 1) (- 1 x))) (-.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 (* (/ y (+ y 1)) x) (*.f64 (-.f64 x (*.f64 y x)) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)) x)) |
#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))) #s(approx (* (/ y (+ y 1)) x) (fma.f64 y x (*.f64 (*.f64 (neg.f64 x) y) 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 x y) (+.f64 #s(literal 1 binary64) y))) |
(fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ (+ y 1) (- 1 x)) (+.f64 y #s(literal 1 binary64)))) 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))) |
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) x) (/.f64 (/.f64 (-.f64 y #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)))) |
(fma.f64 #s(approx (* (- 1 x) (/ y (+ (* y y) -1))) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x))) 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)) |
| Outputs |
|---|
#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)) |
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x)) |
1 calls:
| 11.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 3 | y |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (+ (* (/ -1 (/ (+ y 1) (- 1 x))) y) 1) x) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(literal 1 binary64)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.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 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 y #s(approx (/ (- 1 x) (- -1 y)) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(fma.f64 #s(approx (/ -1 (/ (+ y 1) (- 1 x))) (-.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 (* (/ y (+ y 1)) x) (*.f64 (-.f64 x (*.f64 y x)) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)) x)) |
#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))) #s(approx (* (/ y (+ y 1)) x) (fma.f64 y x (*.f64 (*.f64 (neg.f64 x) y) 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 x y) (+.f64 #s(literal 1 binary64) y))) |
(fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ (+ y 1) (- 1 x)) (+.f64 y #s(literal 1 binary64)))) 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))) |
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) x) (/.f64 (/.f64 (-.f64 y #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)))) |
(fma.f64 #s(approx (* (- 1 x) (/ y (+ (* y y) -1))) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ (+ y 1) (- 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x))) 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))) |
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y))) |
3 calls:
| 10.0ms | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| 8.0ms | y |
| 7.0ms | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 3 | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| 99.5% | 3 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| 99.7% | 3 | y |
Compiled 21 to 17 computations (19% saved)
| Inputs |
|---|
#s(approx (+ (* (/ -1 (/ (+ y 1) (- 1 x))) y) 1) x) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(literal 1 binary64)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.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 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 y #s(approx (/ (- 1 x) (- -1 y)) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(fma.f64 #s(approx (/ -1 (/ (+ y 1) (- 1 x))) (-.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 (* (/ y (+ y 1)) x) (*.f64 (-.f64 x (*.f64 y x)) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)) x)) |
#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))) #s(approx (* (/ y (+ y 1)) x) (fma.f64 y x (*.f64 (*.f64 (neg.f64 x) y) 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 x y) (+.f64 #s(literal 1 binary64) y))) |
(fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ (+ y 1) (- 1 x)) (+.f64 y #s(literal 1 binary64)))) 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))) |
| Outputs |
|---|
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))) |
(-.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 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))) |
3 calls:
| 9.0ms | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| 7.0ms | y |
| 6.0ms | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 3 | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| 99.0% | 3 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| 99.2% | 3 | y |
Compiled 21 to 17 computations (19% saved)
| Inputs |
|---|
#s(approx (+ (* (/ -1 (/ (+ y 1) (- 1 x))) y) 1) x) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(literal 1 binary64)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.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 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 y #s(approx (/ (- 1 x) (- -1 y)) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(fma.f64 #s(approx (/ -1 (/ (+ y 1) (- 1 x))) (-.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 (* (/ y (+ y 1)) x) (*.f64 (-.f64 x (*.f64 y x)) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)) x)) |
#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))) #s(approx (* (/ y (+ y 1)) x) (fma.f64 y x (*.f64 (*.f64 (neg.f64 x) y) 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 x y) (+.f64 #s(literal 1 binary64) y))) |
(fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ (+ y 1) (- 1 x)) (+.f64 y #s(literal 1 binary64)))) y #s(literal 1 binary64)) |
| 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))) |
3 calls:
| 9.0ms | y |
| 6.0ms | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| 6.0ms | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 4 | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| 99.0% | 4 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| 99.0% | 3 | y |
Compiled 21 to 17 computations (19% saved)
| Inputs |
|---|
#s(approx (+ (* (/ -1 (/ (+ y 1) (- 1 x))) y) 1) x) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(literal 1 binary64)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.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 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 y #s(approx (/ (- 1 x) (- -1 y)) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(fma.f64 #s(approx (/ -1 (/ (+ y 1) (- 1 x))) (-.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 (* (/ y (+ y 1)) x) (*.f64 (-.f64 x (*.f64 y x)) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)) x)) |
#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))) |
1 calls:
| 32.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 3 | y |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (+ (* (/ -1 (/ (+ y 1) (- 1 x))) y) 1) x) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(literal 1 binary64)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.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 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 y #s(approx (/ (- 1 x) (- -1 y)) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(fma.f64 #s(approx (/ -1 (/ (+ y 1) (- 1 x))) (-.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 (* (/ y (+ y 1)) x) (*.f64 (-.f64 x (*.f64 y x)) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)) x)) |
#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 (/ (+ y 1) (- 1 x))) y) 1) x) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(literal 1 binary64)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.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 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 y #s(approx (/ (- 1 x) (- -1 y)) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(fma.f64 #s(approx (/ -1 (/ (+ y 1) (- 1 x))) (-.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 (* (/ y (+ y 1)) x) (*.f64 (-.f64 x (*.f64 y x)) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)) x)) |
#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))) (-.f64 x #s(approx (/ (- x 1) y) (/.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 x #s(approx (/ (- x 1) y) (/.f64 x y)))) |
3 calls:
| 37.0ms | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| 4.0ms | 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 |
|---|---|---|
| 77.7% | 3 | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| 77.7% | 3 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| 87.3% | 3 | y |
Compiled 21 to 17 computations (19% saved)
| Inputs |
|---|
#s(approx (+ (* (/ -1 (/ (+ y 1) (- 1 x))) y) 1) x) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(literal 1 binary64)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.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 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 y #s(approx (/ (- 1 x) (- -1 y)) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(fma.f64 #s(approx (/ -1 (/ (+ y 1) (- 1 x))) (-.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 (* (/ y (+ y 1)) x) (*.f64 (-.f64 x (*.f64 y x)) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)) x)) |
| Outputs |
|---|
#s(approx (+ (* (/ -1 (/ (+ y 1) (- 1 x))) y) 1) 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 (/ (+ y 1) (- 1 x))) y) 1) x) |
1 calls:
| 4.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.1% | 3 | y |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (+ (* (/ -1 (/ (+ y 1) (- 1 x))) y) 1) x) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(literal 1 binary64)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.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 (/ (+ y 1) (- 1 x))) y) 1) x) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 x y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
#s(approx (+ (* (/ -1 (/ (+ y 1) (- 1 x))) y) 1) x) |
5 calls:
| 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)))) |
| 3.0ms | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| 3.0ms | x |
| 2.0ms | (-.f64 #s(literal 1 binary64) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.8% | 3 | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| 74.8% | 3 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| 55.3% | 3 | x |
| 55.3% | 3 | (-.f64 #s(literal 1 binary64) x) |
| 78.0% | 4 | y |
Compiled 25 to 23 computations (8% saved)
| Inputs |
|---|
#s(approx (+ (* (/ -1 (/ (+ y 1) (- 1 x))) y) 1) x) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (+ (* (/ -1 (/ (+ y 1) (- 1 x))) y) 1) x) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
#s(approx (+ (* (/ -1 (/ (+ y 1) (- 1 x))) y) 1) x) |
1 calls:
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.0% | 3 | y |
Compiled 1 to 2 computations (-100% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ (* (/ -1 (/ (+ y 1) (- 1 x))) y) 1) x) |
| Outputs |
|---|
#s(approx (+ (* (/ -1 (/ (+ y 1) (- 1 x))) y) 1) x) |
5 calls:
| 1.0ms | x |
| 1.0ms | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| 1.0ms | y |
| 1.0ms | (-.f64 #s(literal 1 binary64) x) |
| 1.0ms | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 37.6% | 1 | (-.f64 #s(literal 1 binary64) x) |
| 37.6% | 1 | x |
| 37.6% | 1 | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| 37.6% | 1 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| 37.6% | 1 | y |
Compiled 25 to 23 computations (8% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 9.368558765698097e-9 | 1459964.8241421932 |
| 13.0ms | -24901.27937024255 | -0.9987182003698353 |
| 19.0ms | 288× | 0 | valid |
Compiled 536 to 409 computations (23.7% saved)
ival-sub: 5.0ms (46.8% of total)ival-div: 2.0ms (18.7% of total)ival-mult: 2.0ms (18.7% of total)ival-add: 1.0ms (9.4% 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 |
|---|---|---|
| 10.0ms | 9.368558765698097e-9 | 1459964.8241421932 |
| 18.0ms | -87332065724.76447 | -46311.953652141936 |
| 13.0ms | 256× | 0 | valid |
Compiled 546 to 412 computations (24.5% saved)
ival-sub: 3.0ms (38.9% of total)ival-div: 2.0ms (26% of total)ival-mult: 2.0ms (26% of total)ival-add: 1.0ms (13% 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 |
|---|---|---|
| 7.0ms | 9.368558765698097e-9 | 1459964.8241421932 |
| 7.0ms | -87332065724.76447 | -46311.953652141936 |
| 8.0ms | 128× | 0 | valid |
Compiled 451 to 374 computations (17.1% saved)
ival-add: 2.0ms (35.7% of total)ival-div: 1.0ms (17.9% of total)ival-sub: 1.0ms (17.9% of total)ival-mult: 1.0ms (17.9% 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 |
|---|---|---|
| 16.0ms | 59454210210.923904 | 17538388388597966.0 |
| 14.0ms | -87332065724.76447 | -46311.953652141936 |
| 10.0ms | 179× | 0 | valid |
| 9.0ms | 93× | 1 | valid |
Compiled 320 to 319 computations (0.3% saved)
ival-sub: 4.0ms (30.9% of total)adjust: 2.0ms (15.5% of total)ival-div: 2.0ms (15.5% of total)ival-add: 2.0ms (15.5% of total)ival-mult: 2.0ms (15.5% 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 |
|---|---|---|
| 10.0ms | 1459964.8241421932 | 60531239.49862683 |
| 5.0ms | -24901.27937024255 | -0.9987182003698353 |
| 8.0ms | 160× | 0 | valid |
Compiled 284 to 283 computations (0.4% saved)
ival-sub: 2.0ms (43.2% of total)ival-div: 1.0ms (21.6% of total)ival-add: 1.0ms (21.6% of total)ival-mult: 1.0ms (21.6% 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 |
|---|---|---|
| 11.0ms | 9.368558765698097e-9 | 1459964.8241421932 |
| 25.0ms | -24901.27937024255 | -0.9987182003698353 |
| 12.0ms | 240× | 0 | valid |
Compiled 356 to 337 computations (5.3% saved)
ival-div: 2.0ms (28.9% of total)ival-sub: 2.0ms (28.9% of total)ival-mult: 2.0ms (28.9% of total)ival-add: 1.0ms (14.4% 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 |
|---|---|---|
| 4.0ms | 9.368558765698097e-9 | 1459964.8241421932 |
| 1.0ms | -24901.27937024255 | -0.9987182003698353 |
Compiled 284 to 283 computations (0.4% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 9.368558765698097e-9 | 1459964.8241421932 |
| 1.0ms | -24901.27937024255 | -0.9987182003698353 |
| 5.0ms | 96× | 0 | valid |
Compiled 266 to 283 computations (-6.4% saved)
ival-div: 1.0ms (36.4% of total)ival-sub: 1.0ms (36.4% of total)ival-mult: 1.0ms (36.4% 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 |
|---|---|---|
| 2.0ms | 9.368558765698097e-9 | 1459964.8241421932 |
| 1.0ms | -24901.27937024255 | -0.9987182003698353 |
| 1.0ms | 16× | 0 | valid |
Compiled 266 to 265 computations (0.4% 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 | 9.368558765698097e-9 | 1459964.8241421932 |
| 1.0ms | -24901.27937024255 | -0.9987182003698353 |
Compiled 176 to 211 computations (-19.9% saved)
| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 9.769559383903582e-10 | 9.368558765698097e-9 |
| 12.0ms | -3.875787168240562e-81 | -4.8275412947053525e-90 |
| 2.0ms | -24901.27937024255 | -0.9987182003698353 |
| 15.0ms | 240× | 0 | valid |
Compiled 157 to 246 computations (-56.7% saved)
ival-mult: 5.0ms (50.6% of total)ival-sub: 2.0ms (20.3% of total)ival-div: 1.0ms (10.1% of total)ival-add: 1.0ms (10.1% 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 |
|---|---|---|
| 0.0ms | 9.769559383903582e-10 | 9.368558765698097e-9 |
| 1.0ms | -24901.27937024255 | -0.9987182003698353 |
Compiled 70 to 139 computations (-98.6% saved)
| 1× | egg-herbie |
| 48× | +-commutative-binary64-+.f64 |
| 46× | sub-neg-binary64-neg.f64-+.f64--.f64 |
| 32× | *-commutative-binary64-*.f64 |
| 26× | neg-sub0-binary64--.f64-neg.f64 |
| 26× | neg-mul-1-binary64-*.f64-neg.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 116 | 812 |
| 1 | 143 | 812 |
| 2 | 182 | 812 |
| 3 | 215 | 812 |
| 4 | 233 | 812 |
| 5 | 237 | 812 |
| 6 | 238 | 812 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 y #s(literal -13000 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 12000 binary64)) (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (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 -390000 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 300000 binary64)) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) 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 -290000 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 550000 binary64)) (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x)))) |
(if (<=.f64 y #s(literal -18000000000 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 100000000000 binary64)) (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y))))) |
(if (<=.f64 y #s(literal -7000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))) (if (<=.f64 y #s(literal 1500000 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 (/ (* (- 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 7385903388887613/9007199254740992 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))) (-.f64 x #s(approx (/ (- x 1) y) (/.f64 x y)))) (if (<=.f64 y #s(literal 4728779608739021/4503599627370496 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 #s(approx (/ (- x 1) y) (/.f64 x y)))))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (+ (* (/ -1 (/ (+ y 1) (- 1 x))) y) 1) 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 (/ (+ y 1) (- 1 x))) y) 1) x))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (+ (* (/ -1 (/ (+ y 1) (- 1 x))) y) 1) x) (if (<=.f64 y #s(literal -4058375368249729/1067993517960455041197510853084776057301352261178326384973520803911109862890320275011481043468288 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 x y))) (if (<=.f64 y #s(literal 5440166188265831/604462909807314587353088 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) #s(approx (+ (* (/ -1 (/ (+ y 1) (- 1 x))) y) 1) x)))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (+ (* (/ -1 (/ (+ y 1) (- 1 x))) y) 1) x) (if (<=.f64 y #s(literal 5440166188265831/604462909807314587353088 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) #s(approx (+ (* (/ -1 (/ (+ y 1) (- 1 x))) y) 1) x))) |
#s(approx (+ (* (/ -1 (/ (+ y 1) (- 1 x))) y) 1) x) |
| Outputs |
|---|
(if (<=.f64 y #s(literal -13000 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 12000 binary64)) (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (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 -390000 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 300000 binary64)) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) 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 -390000 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 300000 binary64)) (fma.f64 (*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x)))) |
(if (<=.f64 y #s(literal -290000 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 550000 binary64)) (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x)))) |
(if (<=.f64 y #s(literal -18000000000 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 100000000000 binary64)) (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y))))) |
(if (<=.f64 y #s(literal -7000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))) (if (<=.f64 y #s(literal 1500000 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 (/ (* (- 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 #s(literal -1 binary64) y) (-.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 7385903388887613/9007199254740992 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))) (-.f64 x #s(approx (/ (- x 1) y) (/.f64 x y)))) (if (<=.f64 y #s(literal 4728779608739021/4503599627370496 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 #s(approx (/ (- x 1) y) (/.f64 x y)))))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (+ (* (/ -1 (/ (+ y 1) (- 1 x))) y) 1) 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 (/ (+ y 1) (- 1 x))) y) 1) x))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (+ (* (/ -1 (/ (+ y 1) (- 1 x))) y) 1) x) (if (<=.f64 y #s(literal -4058375368249729/1067993517960455041197510853084776057301352261178326384973520803911109862890320275011481043468288 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 x y))) (if (<=.f64 y #s(literal 5440166188265831/604462909807314587353088 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) #s(approx (+ (* (/ -1 (/ (+ y 1) (- 1 x))) y) 1) x)))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (+ (* (/ -1 (/ (+ y 1) (- 1 x))) y) 1) x) (if (<=.f64 y #s(literal 5440166188265831/604462909807314587353088 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) #s(approx (+ (* (/ -1 (/ (+ y 1) (- 1 x))) y) 1) x))) |
#s(approx (+ (* (/ -1 (/ (+ y 1) (- 1 x))) y) 1) x) |
| 17 512× | lower-fma.f64 |
| 17 512× | lower-fma.f32 |
| 16 854× | lower-fma.f64 |
| 16 854× | lower-fma.f32 |
| 13 336× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 370 | 3603 |
| 1 | 1155 | 3222 |
| 2 | 3512 | 3009 |
| 0 | 8318 | 2853 |
| 0 | 127 | 823 |
| 1 | 400 | 799 |
| 2 | 1127 | 684 |
| 3 | 4559 | 669 |
| 0 | 8305 | 648 |
| 0 | 352 | 4239 |
| 1 | 1110 | 3716 |
| 2 | 3273 | 3310 |
| 0 | 8187 | 3183 |
| 0 | 8 | 31 |
| 0 | 13 | 31 |
| 1 | 63 | 31 |
| 2 | 533 | 31 |
| 0 | 8517 | 30 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 663 to 301 computations (54.6% saved)
Compiled 890 to 258 computations (71% saved)
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