
Time bar (total: 7.7s)
| 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 9 to 8 computations (11.1% saved)
| 807.0ms | 8 250× | 0 | valid |
| 0.0ms | 4× | 1 | valid |
| 0.0ms | 2× | 2 | valid |
ival-add: 179.0ms (69.8% of total)ival-div: 62.0ms (24.2% of total)ival-true: 7.0ms (2.7% of total)exact: 5.0ms (1.9% of total)ival-assert: 4.0ms (1.6% of total)adjust: 0.0ms (0% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | (+.f64 y #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (+.f64 x y) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 22.0ms | 512× | 0 | valid |
Compiled 59 to 28 computations (52.5% saved)
ival-add: 5.0ms (49.8% of total)ival-div: 4.0ms (39.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 41 |
| 1 | 42 | 35 |
| 2 | 86 | 35 |
| 3 | 204 | 35 |
| 4 | 577 | 35 |
| 5 | 1216 | 35 |
| 6 | 1586 | 35 |
| 7 | 1979 | 35 |
| 8 | 2103 | 35 |
| 9 | 2174 | 35 |
| 10 | 2186 | 35 |
| 0 | 6 | 7 |
| 0 | 9 | 7 |
| 1 | 13 | 7 |
| 0 | 13 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| Outputs |
|---|
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
(/.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) y)) |
Compiled 7 to 6 computations (14.3% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
Compiled 7 to 6 computations (14.3% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 y #s(literal 1 binary64)) | |
| cost-diff | 0 | (+.f64 x y) | |
| cost-diff | 0 | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 16 |
| 0 | 9 | 16 |
| 1 | 13 | 16 |
| 0 | 13 | 16 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
(+.f64 x y) |
x |
y |
(+.f64 y #s(literal 1 binary64)) |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
(/.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) y)) |
(+.f64 x y) |
(+.f64 y x) |
x |
y |
(+.f64 y #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 y #s(literal 1 binary64)) | |
| accuracy | 0 | (+.f64 x y) | |
| accuracy | 0.03125 | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| 22.0ms | 256× | 0 | valid |
Compiled 34 to 14 computations (58.8% saved)
ival-add: 11.0ms (68.7% of total)ival-div: 5.0ms (31.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ()) |
#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 y) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (+ 1 (* y (- x 1))) x))) (taylor 0 y) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) (taylor 0 y) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt x (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 (+.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 inf y) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (/ x y)) (/ 1 y)) (taylor inf y) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) (taylor inf y) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))) (taylor inf y) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt y (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 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 (taylor -inf y) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (+ 1 (* -1 x)) y))) (taylor -inf y) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y))) (taylor -inf y) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y))) (taylor -inf y) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt y (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 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 (/ y (+ 1 y)) (taylor 0 x) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ x (+ 1 y)) (/ y (+ 1 y))) (taylor 0 x) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ x (+ 1 y)) (/ y (+ 1 y))) (taylor 0 x) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ x (+ 1 y)) (/ y (+ 1 y))) (taylor 0 x) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x (+ 1 y)) (taylor inf x) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) (taylor inf x) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) (taylor inf x) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) (taylor inf x) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 41.0ms | y | @ | 0 | ((/ (+ x y) (+ y 1)) (+ x y) (+ y 1)) |
| 1.0ms | y | @ | inf | ((/ (+ x y) (+ y 1)) (+ x y) (+ y 1)) |
| 1.0ms | x | @ | -inf | ((/ (+ x y) (+ y 1)) (+ x y) (+ y 1)) |
| 1.0ms | x | @ | inf | ((/ (+ x y) (+ y 1)) (+ x y) (+ y 1)) |
| 1.0ms | y | @ | -inf | ((/ (+ x y) (+ y 1)) (+ x y) (+ y 1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 88 | 362 |
| 1 | 263 | 358 |
| 2 | 670 | 338 |
| 3 | 2442 | 308 |
| 0 | 8192 | 300 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(+ x (* y (- 1 x))) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
1 |
(+ 1 y) |
(+ 1 y) |
(+ 1 y) |
1 |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
y |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
1 |
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y))) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
y |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(/ y (+ 1 y)) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
(/ x (+ 1 y)) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(/ x (+ 1 y)) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
| Outputs |
|---|
x |
(+ x (* y (- 1 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 y #s(literal 1 binary64)) x) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
(fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x) |
x |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
1 |
#s(literal 1 binary64) |
(+ 1 y) |
(+.f64 #s(literal 1 binary64) y) |
(+ 1 y) |
(+.f64 #s(literal 1 binary64) y) |
(+ 1 y) |
(+.f64 #s(literal 1 binary64) y) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) |
(fma.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))) |
(-.f64 (+.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (fma.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) |
y |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
y |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y))) |
(fma.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) y)) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 y x) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 y x) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 y x) |
y |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
(/ y (+ 1 y)) |
(/.f64 y (+.f64 #s(literal 1 binary64) y)) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (+.f64 y x)) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (+.f64 y x)) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (+.f64 y x)) |
y |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (+.f64 y x)) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (+.f64 y x)) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (+.f64 y x)) |
x |
(* x (+ 1 (/ y x))) |
(+.f64 y x) |
(* x (+ 1 (/ y x))) |
(+.f64 y x) |
(* x (+ 1 (/ y x))) |
(+.f64 y x) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (+.f64 y x)) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (+.f64 y x)) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (+.f64 y x)) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 y x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 y x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 y x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 13 |
| 0 | 9 | 13 |
| 1 | 43 | 13 |
| 2 | 307 | 13 |
| 3 | 3741 | 13 |
| 0 | 9904 | 13 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
(+.f64 x y) |
(+.f64 y #s(literal 1 binary64)) |
| Outputs |
|---|
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Compiled 10 960 to 1 494 computations (86.4% saved)
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 514 | 8 | 522 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 514 | 9 | 523 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| ▶ | 78.3% | (*.f64 (/.f64 (+.f64 y x) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64))) |
| ▶ | 54.0% | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x)) |
| 53.6% | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) | |
| 53.6% | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 y #s(literal 1 binary64)) x)) | |
| 52.4% | #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) | |
| ▶ | 49.5% | #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
| ▶ | 46.9% | #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
| ▶ | 37.6% | #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) |
Compiled 143 to 116 computations (18.9% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x)) | |
| cost-diff | 192 | (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) x) y) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | (/.f64 x (+.f64 #s(literal 1 binary64) y)) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 y y #s(literal -1 binary64)) | |
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | (/.f64 (+.f64 y x) (fma.f64 y y #s(literal -1 binary64))) | |
| cost-diff | 704 | (*.f64 (/.f64 (+.f64 y x) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 167 |
| 0 | 40 | 167 |
| 1 | 67 | 167 |
| 2 | 139 | 161 |
| 3 | 411 | 159 |
| 4 | 1691 | 159 |
| 5 | 6401 | 159 |
| 0 | 8180 | 156 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (+.f64 y x) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64))) |
(/.f64 (+.f64 y x) (fma.f64 y y #s(literal -1 binary64))) |
(+.f64 y x) |
y |
x |
(fma.f64 y y #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(-.f64 y #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
x |
(+.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
#s(literal 1 binary64) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(-.f64 #s(literal 1 binary64) x) |
x |
y |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x)) |
(fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(-.f64 y #s(literal 1 binary64)) |
y |
| Outputs |
|---|
(*.f64 (/.f64 (+.f64 y x) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64))) |
(/.f64 (+.f64 x y) (-.f64 y #s(literal -1 binary64))) |
(/.f64 (+.f64 y x) (fma.f64 y y #s(literal -1 binary64))) |
(/.f64 (+.f64 x y) (fma.f64 y y #s(literal -1 binary64))) |
(+.f64 y x) |
(+.f64 x y) |
y |
x |
(fma.f64 y y #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(-.f64 y #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64)))) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(/.f64 x (-.f64 y #s(literal -1 binary64))) |
x |
(+.f64 #s(literal 1 binary64) y) |
(-.f64 y #s(literal -1 binary64)) |
#s(literal 1 binary64) |
y |
#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
#s(literal 1 binary64) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(-.f64 #s(literal 1 binary64) x) |
x |
y |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x)) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x) x)) |
(fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x) |
(fma.f64 (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x) x) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(-.f64 y #s(literal 1 binary64)) |
y |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.01171875 | (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.01171875 | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) | |
| accuracy | 0.04296875 | (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x) | |
| accuracy | 29.41964733887199 | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x)) | |
| accuracy | 0 | (/.f64 (-.f64 #s(literal 1 binary64) x) y) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.00390625 | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) | |
| accuracy | 33.98933311671776 | #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) | |
| accuracy | 0 | (+.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.0234375 | (/.f64 x (+.f64 #s(literal 1 binary64) y)) | |
| accuracy | 32.31362682803575 | #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) | |
| accuracy | 39.94948065930635 | #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) | |
| accuracy | 0 | (-.f64 y #s(literal 1 binary64)) | |
| accuracy | 0 | (+.f64 y x) | |
| accuracy | 0.10546875 | (*.f64 (/.f64 (+.f64 y x) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64))) | |
| accuracy | 13.293626489455772 | (/.f64 (+.f64 y x) (fma.f64 y y #s(literal -1 binary64))) |
| 65.0ms | 256× | 0 | valid |
Compiled 282 to 46 computations (83.7% saved)
ival-mult: 29.0ms (59.6% of total)ival-add: 9.0ms (18.5% of total)ival-div: 7.0ms (14.4% of total)ival-sub: 4.0ms (8.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (/.f64 (+.f64 y x) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64))) (patch (*.f64 (/.f64 (+.f64 y x) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 y x) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (+.f64 y x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (+.f64 y x) (patch (+.f64 y x) #<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 #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) (patch #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ()) |
#s(alt (/.f64 x (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 1 binary64) y) (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (patch #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (patch (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #<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 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x)) (patch #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x) (patch (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 y) (#s(alt (*.f64 (/.f64 (+.f64 y x) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64))) (patch (*.f64 (/.f64 (+.f64 y x) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* y (- x 1)))) (taylor 0 y) (#s(alt (*.f64 (/.f64 (+.f64 y x) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64))) (patch (*.f64 (/.f64 (+.f64 y x) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (+ (* -1 (* y (+ 1 (* -1 x)))) (* -1 (- x 1))))) (taylor 0 y) (#s(alt (*.f64 (/.f64 (+.f64 y x) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64))) (patch (*.f64 (/.f64 (+.f64 y x) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (+ (* -1 (- x 1)) (* y (- (* y (- 1 x)) (+ 1 (* -1 x))))))) (taylor 0 y) (#s(alt (*.f64 (/.f64 (+.f64 y x) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64))) (patch (*.f64 (/.f64 (+.f64 y x) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 y) (#s(alt (/.f64 (+.f64 y x) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (+.f64 y x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (* -1 y)) (taylor 0 y) (#s(alt (/.f64 (+.f64 y x) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (+.f64 y x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (* y (- (* -1 (* x y)) 1))) (taylor 0 y) (#s(alt (/.f64 (+.f64 y x) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (+.f64 y x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (* y (- (* y (- (* -1 y) x)) 1))) (taylor 0 y) (#s(alt (/.f64 (+.f64 y x) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (+.f64 y x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 y) (#s(alt (fma.f64 y y #s(literal -1 binary64)) (patch (fma.f64 y y #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (pow y 2) 1) (taylor 0 y) (#s(alt (fma.f64 y y #s(literal -1 binary64)) (patch (fma.f64 y y #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (pow y 2) 1) (taylor 0 y) (#s(alt (fma.f64 y y #s(literal -1 binary64)) (patch (fma.f64 y y #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (pow y 2) 1) (taylor 0 y) (#s(alt (fma.f64 y y #s(literal -1 binary64)) (patch (fma.f64 y y #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) (patch #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) (patch #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (+ 1 (* y (- x 1))) x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) (patch #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) (patch #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (+ 1 (* y (- x 1))) x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (/.f64 x (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x y))) (taylor 0 y) (#s(alt (/.f64 x (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (* x y) x))) (taylor 0 y) (#s(alt (/.f64 x (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))) (taylor 0 y) (#s(alt (/.f64 x (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) y) (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) y) (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) y) (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) y) (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (patch #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (patch #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (+ 1 (* y (- x 1))) x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (patch #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (patch #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x 1) y) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (patch (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ x y) 1) y) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (patch (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ x y) 1) y) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (patch (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ x y) 1) y) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (patch (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 1 x) y) (taylor 0 y) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 1 x) y) (taylor 0 y) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 1 x) y) (taylor 0 y) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 1 x) y) (taylor 0 y) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (- 1 x) (taylor 0 y) (#s(alt (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* -1 (* y (- 1 x)))) x) (taylor 0 y) (#s(alt (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x))))) x) (taylor 0 y) (#s(alt (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x))))) x) (taylor 0 y) (#s(alt (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x)) (patch #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (patch #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (patch (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (patch (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (patch (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (patch (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -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>) () ())) ()) |
#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>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* y (- y 1))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1)))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1)))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1)))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x)) (patch #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x)) (patch #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x)) (patch #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x)) (patch #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* y (+ 1 (* y (- y 1)))) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x) (patch (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ (* y (+ 1 (* y (- y 1)))) x)) (* y (+ 1 (* y (- y 1))))) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x) (patch (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ (* y (+ 1 (* y (- y 1)))) x)) (* y (+ 1 (* y (- y 1))))) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x) (patch (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ (* y (+ 1 (* y (- y 1)))) x)) (* y (+ 1 (* y (- y 1))))) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x) (patch (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- y 1))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ y (* -1 (/ (- y 1) x))) 1))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ y (* -1 (/ (- y 1) x))) 1))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ y (* -1 (/ (- y 1) x))) 1))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | y | @ | -inf | ((* (/ (+ y x) (+ (* y y) -1)) (- y 1)) (/ (+ y x) (+ (* y y) -1)) (+ y x) (+ (* y y) -1) (/ (+ x y) (+ y 1)) (/ (+ x y) (+ y 1)) (/ x (+ 1 y)) (+ 1 y) (/ (+ x y) (+ y 1)) (- 1 (/ (- 1 x) y)) (/ (- 1 x) y) (- 1 x) (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (/ (+ x y) (+ y 1)) (+ (* (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) y) x) (* (- 1 x) (- y 1)) (- y 1)) |
| 4.0ms | x | @ | -inf | ((* (/ (+ y x) (+ (* y y) -1)) (- y 1)) (/ (+ y x) (+ (* y y) -1)) (+ y x) (+ (* y y) -1) (/ (+ x y) (+ y 1)) (/ (+ x y) (+ y 1)) (/ x (+ 1 y)) (+ 1 y) (/ (+ x y) (+ y 1)) (- 1 (/ (- 1 x) y)) (/ (- 1 x) y) (- 1 x) (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (/ (+ x y) (+ y 1)) (+ (* (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) y) x) (* (- 1 x) (- y 1)) (- y 1)) |
| 4.0ms | x | @ | 0 | ((* (/ (+ y x) (+ (* y y) -1)) (- y 1)) (/ (+ y x) (+ (* y y) -1)) (+ y x) (+ (* y y) -1) (/ (+ x y) (+ y 1)) (/ (+ x y) (+ y 1)) (/ x (+ 1 y)) (+ 1 y) (/ (+ x y) (+ y 1)) (- 1 (/ (- 1 x) y)) (/ (- 1 x) y) (- 1 x) (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (/ (+ x y) (+ y 1)) (+ (* (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) y) x) (* (- 1 x) (- y 1)) (- y 1)) |
| 3.0ms | x | @ | inf | ((* (/ (+ y x) (+ (* y y) -1)) (- y 1)) (/ (+ y x) (+ (* y y) -1)) (+ y x) (+ (* y y) -1) (/ (+ x y) (+ y 1)) (/ (+ x y) (+ y 1)) (/ x (+ 1 y)) (+ 1 y) (/ (+ x y) (+ y 1)) (- 1 (/ (- 1 x) y)) (/ (- 1 x) y) (- 1 x) (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (/ (+ x y) (+ y 1)) (+ (* (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) y) x) (* (- 1 x) (- y 1)) (- y 1)) |
| 2.0ms | y | @ | 0 | ((* (/ (+ y x) (+ (* y y) -1)) (- y 1)) (/ (+ y x) (+ (* y y) -1)) (+ y x) (+ (* y y) -1) (/ (+ x y) (+ y 1)) (/ (+ x y) (+ y 1)) (/ x (+ 1 y)) (+ 1 y) (/ (+ x y) (+ y 1)) (- 1 (/ (- 1 x) y)) (/ (- 1 x) y) (- 1 x) (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (/ (+ x y) (+ y 1)) (+ (* (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) y) x) (* (- 1 x) (- y 1)) (- y 1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 348 | 3784 |
| 1 | 1073 | 3502 |
| 2 | 3304 | 3216 |
| 0 | 8251 | 3064 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(+ x (* -1 (* y (- x 1)))) |
(+ x (* y (+ (* -1 (* y (+ 1 (* -1 x)))) (* -1 (- x 1))))) |
(+ x (* y (+ (* -1 (- x 1)) (* y (- (* y (- 1 x)) (+ 1 (* -1 x))))))) |
(* -1 x) |
(+ (* -1 x) (* -1 y)) |
(+ (* -1 x) (* y (- (* -1 (* x y)) 1))) |
(+ (* -1 x) (* y (- (* y (- (* -1 y) x)) 1))) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
-1 |
(- (pow y 2) 1) |
(- (pow y 2) 1) |
(- (pow y 2) 1) |
x |
(+ x (* y (- 1 x))) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
x |
(+ x (* y (- 1 x))) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
x |
(+ x (* -1 (* x y))) |
(+ x (* y (- (* x y) x))) |
(+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))) |
1 |
(+ 1 y) |
(+ 1 y) |
(+ 1 y) |
x |
(+ x (* y (- 1 x))) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
(/ (- x 1) y) |
(/ (- (+ x y) 1) y) |
(/ (- (+ x y) 1) y) |
(/ (- (+ x y) 1) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(- 1 x) |
(- (+ 1 (* -1 (* y (- 1 x)))) x) |
(- (+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x))))) x) |
(- (+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x))))) x) |
x |
(+ x (* y (- 1 x))) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
x |
(+ x (* y (- 1 x))) |
(+ x (* y (- (+ 1 (* -1 (* y (- 1 x)))) x))) |
(+ x (* y (- (+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x))))) x))) |
(* -1 (- 1 x)) |
(+ (* -1 (- 1 x)) (* y (- 1 x))) |
(+ (* -1 (- 1 x)) (* y (- 1 x))) |
(+ (* -1 (- 1 x)) (* y (- 1 x))) |
-1 |
(- y 1) |
(- y 1) |
(- y 1) |
1 |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (/ x y)))) (/ 1 y)) |
(- (+ 1 (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3)))))) (+ (/ 1 y) (/ 1 (pow y 3)))) |
(/ 1 y) |
(/ (+ 1 (/ x y)) y) |
(/ (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) y) |
(/ (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) y) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x 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 |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))) |
1 |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))) |
(/ x y) |
(/ (+ x (* -1 (/ x y))) y) |
(/ (- (+ x (/ x (pow y 2))) (/ x y)) y) |
(/ (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) y) |
y |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
1 |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))) |
1 |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(* (pow y 2) (- 1 x)) |
(* (pow y 2) (- (+ 1 (* -1 (/ (- 1 x) y))) x)) |
(* (pow y 2) (- (+ 1 (+ (* -1 (/ (- 1 x) y)) (/ 1 (pow y 2)))) (+ x (/ x (pow y 2))))) |
(* (pow y 2) (- (+ 1 (+ (* -1 (/ (- 1 x) y)) (/ 1 (pow y 2)))) (+ x (/ x (pow y 2))))) |
1 |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))) |
(* (pow y 3) (- 1 x)) |
(* (pow y 3) (- (+ 1 (* -1 (/ (- 1 x) y))) x)) |
(* (pow y 3) (- (+ 1 (+ (* -1 (/ (- 1 x) y)) (/ 1 (pow y 2)))) (+ x (/ x (pow y 2))))) |
(* (pow y 3) (- (+ 1 (+ (* -1 (/ (- 1 x) y)) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ x (/ x (pow y 2))))) |
(* y (- 1 x)) |
(* y (- (+ 1 (* -1 (/ (- 1 x) y))) x)) |
(* y (- (+ 1 (* -1 (/ (- 1 x) y))) x)) |
(* y (- (+ 1 (* -1 (/ (- 1 x) y))) x)) |
y |
(* y (- 1 (/ 1 y))) |
(* y (- 1 (/ 1 y))) |
(* y (- 1 (/ 1 y))) |
1 |
(- (+ 1 (/ x y)) (/ 1 y)) |
(+ 1 (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) |
(+ 1 (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) y))) |
(/ 1 y) |
(* -1 (/ (- (* -1 (/ x y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (+ x (/ 1 y)) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (+ x (* -1 (/ (- (* -1 (/ x y)) 1) y))) y)) 1) y)) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(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 |
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y))) |
1 |
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y))) |
(/ x y) |
(* -1 (/ (+ (* -1 x) (/ x y)) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x y) x) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x y) x) y)) x) y))) y)) |
y |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
1 |
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y))) |
1 |
(+ 1 (* -1 (/ (- 1 x) y))) |
(+ 1 (* -1 (/ (- 1 x) y))) |
(+ 1 (* -1 (/ (- 1 x) y))) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(* (pow y 2) (- 1 x)) |
(* (pow y 2) (- (+ 1 (* -1 (/ (- 1 x) y))) x)) |
(* (pow y 2) (- (+ 1 (* -1 (/ (- (+ 1 (* -1 (/ (- 1 x) y))) x) y))) x)) |
(* (pow y 2) (- (+ 1 (* -1 (/ (- (+ 1 (* -1 (/ (- 1 x) y))) x) y))) x)) |
1 |
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y))) |
(* (pow y 3) (- 1 x)) |
(* -1 (* (pow y 3) (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)))) |
(* -1 (* (pow y 3) (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y))))) |
(* -1 (* (pow y 3) (+ (* -1 (- 1 x)) (* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ x y))) y))) y))))) |
(* y (- 1 x)) |
(* -1 (* y (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)))) |
(* -1 (* y (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)))) |
(* -1 (* y (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)))) |
y |
(* -1 (* y (- (/ 1 y) 1))) |
(* -1 (* y (- (/ 1 y) 1))) |
(* -1 (* y (- (/ 1 y) 1))) |
(/ (* y (- y 1)) (- (pow y 2) 1)) |
(+ (* x (- (/ y (- (pow y 2) 1)) (/ 1 (- (pow y 2) 1)))) (/ (* y (- y 1)) (- (pow y 2) 1))) |
(+ (* x (- (/ y (- (pow y 2) 1)) (/ 1 (- (pow y 2) 1)))) (/ (* y (- y 1)) (- (pow y 2) 1))) |
(+ (* x (- (/ y (- (pow y 2) 1)) (/ 1 (- (pow y 2) 1)))) (/ (* y (- y 1)) (- (pow y 2) 1))) |
(/ y (- (pow y 2) 1)) |
(+ (/ x (- (pow y 2) 1)) (/ y (- (pow y 2) 1))) |
(+ (/ x (- (pow y 2) 1)) (/ y (- (pow y 2) 1))) |
(+ (/ x (- (pow y 2) 1)) (/ y (- (pow y 2) 1))) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
(/ y (+ 1 y)) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(/ y (+ 1 y)) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ y (+ 1 y)) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(- 1 (/ 1 y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(/ 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)) |
(+ 1 (* y (- y 1))) |
(+ 1 (+ (* x (- (* -1 (* y (- y 1))) 1)) (* y (- y 1)))) |
(+ 1 (+ (* x (- (* -1 (* y (- y 1))) 1)) (* y (- y 1)))) |
(+ 1 (+ (* x (- (* -1 (* y (- y 1))) 1)) (* y (- y 1)))) |
(/ y (+ 1 y)) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(* y (+ 1 (* y (- y 1)))) |
(+ (* x (+ 1 (* y (- (* -1 (* y (- y 1))) 1)))) (* y (+ 1 (* y (- y 1))))) |
(+ (* x (+ 1 (* y (- (* -1 (* y (- y 1))) 1)))) (* y (+ 1 (* y (- y 1))))) |
(+ (* x (+ 1 (* y (- (* -1 (* y (- y 1))) 1)))) (* y (+ 1 (* y (- y 1))))) |
(- y 1) |
(- (+ y (* -1 (* x (- y 1)))) 1) |
(- (+ y (* -1 (* x (- y 1)))) 1) |
(- (+ y (* -1 (* x (- y 1)))) 1) |
(/ (* x (- y 1)) (- (pow y 2) 1)) |
(* x (- (+ (/ y (- (pow y 2) 1)) (/ (* y (- y 1)) (* x (- (pow y 2) 1)))) (/ 1 (- (pow y 2) 1)))) |
(* x (- (+ (/ y (- (pow y 2) 1)) (/ (* y (- y 1)) (* x (- (pow y 2) 1)))) (/ 1 (- (pow y 2) 1)))) |
(* x (- (+ (/ y (- (pow y 2) 1)) (/ (* y (- y 1)) (* x (- (pow y 2) 1)))) (/ 1 (- (pow y 2) 1)))) |
(/ x (- (pow y 2) 1)) |
(* x (+ (/ 1 (- (pow y 2) 1)) (/ y (* x (- (pow y 2) 1))))) |
(* x (+ (/ 1 (- (pow y 2) 1)) (/ y (* x (- (pow y 2) 1))))) |
(* x (+ (/ 1 (- (pow y 2) 1)) (/ y (* x (- (pow y 2) 1))))) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(/ x (+ 1 y)) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(/ x (+ 1 y)) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(/ x y) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(* -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 (- y 1))) 1)) |
(* x (- (+ (* -1 (* y (- y 1))) (+ (/ 1 x) (/ (* y (- y 1)) x))) 1)) |
(* x (- (+ (* -1 (* y (- y 1))) (+ (/ 1 x) (/ (* y (- y 1)) x))) 1)) |
(* x (- (+ (* -1 (* y (- y 1))) (+ (/ 1 x) (/ (* y (- y 1)) x))) 1)) |
(/ x (+ 1 y)) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* x (+ 1 (* y (- (* -1 (* y (- y 1))) 1)))) |
(* x (+ 1 (+ (* y (- (* -1 (* y (- y 1))) 1)) (/ (* y (+ 1 (* y (- y 1)))) x)))) |
(* x (+ 1 (+ (* y (- (* -1 (* y (- y 1))) 1)) (/ (* y (+ 1 (* y (- y 1)))) x)))) |
(* x (+ 1 (+ (* y (- (* -1 (* y (- y 1))) 1)) (/ (* y (+ 1 (* y (- y 1)))) x)))) |
(* -1 (* x (- y 1))) |
(* x (- (+ (* -1 (- y 1)) (/ y x)) (/ 1 x))) |
(* x (- (+ (* -1 (- y 1)) (/ y x)) (/ 1 x))) |
(* x (- (+ (* -1 (- y 1)) (/ y x)) (/ 1 x))) |
(/ (* x (- y 1)) (- (pow y 2) 1)) |
(* -1 (* x (+ (* -1 (/ (* y (- y 1)) (* x (- (pow y 2) 1)))) (* -1 (/ (- y 1) (- (pow y 2) 1)))))) |
(* -1 (* x (+ (* -1 (/ (* y (- y 1)) (* x (- (pow y 2) 1)))) (* -1 (/ (- y 1) (- (pow y 2) 1)))))) |
(* -1 (* x (+ (* -1 (/ (* y (- y 1)) (* x (- (pow y 2) 1)))) (* -1 (/ (- y 1) (- (pow y 2) 1)))))) |
(/ x (- (pow y 2) 1)) |
(* -1 (* x (- (* -1 (/ y (* x (- (pow y 2) 1)))) (/ 1 (- (pow y 2) 1))))) |
(* -1 (* x (- (* -1 (/ y (* x (- (pow y 2) 1)))) (/ 1 (- (pow y 2) 1))))) |
(* -1 (* x (- (* -1 (/ y (* x (- (pow y 2) 1)))) (/ 1 (- (pow y 2) 1))))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(/ x (+ 1 y)) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(/ x (+ 1 y)) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(/ x y) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(* -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)))) |
(* -1 (* x (+ 1 (* y (- y 1))))) |
(* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1)))))) |
(* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1)))))) |
(* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1)))))) |
(/ x (+ 1 y)) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (* y (+ 1 (* y (- y 1)))) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y (+ 1 (* y (- y 1)))) x)) (* y (+ 1 (* y (- y 1))))) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y (+ 1 (* y (- y 1)))) x)) (* y (+ 1 (* y (- y 1))))) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y (+ 1 (* y (- y 1)))) x)) (* y (+ 1 (* y (- y 1))))) 1))) |
(* -1 (* x (- y 1))) |
(* -1 (* x (- (+ y (* -1 (/ (- y 1) x))) 1))) |
(* -1 (* x (- (+ y (* -1 (/ (- y 1) x))) 1))) |
(* -1 (* x (- (+ y (* -1 (/ (- y 1) x))) 1))) |
| Outputs |
|---|
x |
(+ x (* -1 (* y (- x 1)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
(+ x (* y (+ (* -1 (* y (+ 1 (* -1 x)))) (* -1 (- x 1))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) y) x) |
(+ x (* y (+ (* -1 (- x 1)) (* y (- (* y (- 1 x)) (+ 1 (* -1 x))))))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))) y x) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (* -1 y)) |
(-.f64 (neg.f64 y) x) |
(+ (* -1 x) (* y (- (* -1 (* x y)) 1))) |
(fma.f64 (fma.f64 (neg.f64 y) x #s(literal -1 binary64)) y (neg.f64 x)) |
(+ (* -1 x) (* y (- (* y (- (* -1 y) x)) 1))) |
(fma.f64 (fma.f64 (-.f64 (neg.f64 y) x) y #s(literal -1 binary64)) y (neg.f64 x)) |
x |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
-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)) |
x |
(+ x (* y (- 1 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) y) x) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))) y x) |
x |
(+ x (* y (- 1 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) y) x) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))) y x) |
x |
(+ x (* -1 (* x y))) |
(fma.f64 (neg.f64 y) x x) |
(+ x (* y (- (* x y) x))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) x) |
(+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))) |
(fma.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) y) x x) |
1 |
#s(literal 1 binary64) |
(+ 1 y) |
(+.f64 #s(literal 1 binary64) y) |
(+ 1 y) |
(+.f64 #s(literal 1 binary64) y) |
(+ 1 y) |
(+.f64 #s(literal 1 binary64) y) |
x |
(+ x (* y (- 1 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) y) x) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))) y x) |
(/ (- x 1) y) |
(/.f64 (-.f64 x #s(literal 1 binary64)) y) |
(/ (- (+ x y) 1) y) |
(/.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) y) |
(/ (- (+ x y) 1) y) |
(/.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) y) |
(/ (- (+ x y) 1) y) |
(/.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
(- (+ 1 (* -1 (* y (- 1 x)))) x) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x)) |
(- (+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x))))) x) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(- (+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x))))) x) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))) |
x |
(+ x (* y (- 1 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) y) x) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))) y x) |
x |
(+ x (* y (- 1 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
(+ x (* y (- (+ 1 (* -1 (* y (- 1 x)))) x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) y) x) |
(+ x (* y (- (+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x))))) x))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))) y x) |
(* -1 (- 1 x)) |
(-.f64 x #s(literal 1 binary64)) |
(+ (* -1 (- 1 x)) (* y (- 1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64))) |
(+ (* -1 (- 1 x)) (* y (- 1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64))) |
(+ (* -1 (- 1 x)) (* y (- 1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64))) |
-1 |
#s(literal -1 binary64) |
(- y 1) |
(-.f64 y #s(literal 1 binary64)) |
(- y 1) |
(-.f64 y #s(literal 1 binary64)) |
(- y 1) |
(-.f64 y #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal -1 binary64)) |
(- (+ 1 (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (/ x y)))) (/ 1 y)) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) x) #s(literal -1 binary64)) y)) |
(- (+ 1 (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3)))))) (+ (/ 1 y) (/ 1 (pow y 3)))) |
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ (+ 1 (/ x y)) y) |
(/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(/ (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) y) |
(/.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) #s(literal 1 binary64)) (/.f64 x y)) y) |
(/ (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) y) |
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (/.f64 x y))) y) |
y |
(* y (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) y y) |
(* y (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) y y) |
(* y (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) y y) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (- 1 (/ 1 (pow y 2)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) y) y) |
(* (pow y 2) (- 1 (/ 1 (pow y 2)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) y) y) |
(* (pow y 2) (- 1 (/ 1 (pow y 2)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) y) y) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal -1 binary64)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) x) #s(literal -1 binary64)) y)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))) |
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal -1 binary64)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) x) #s(literal -1 binary64)) y)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))) |
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) |
(/ x y) |
(/.f64 x y) |
(/ (+ x (* -1 (/ x y))) y) |
(/.f64 (-.f64 x (/.f64 x y)) y) |
(/ (- (+ x (/ x (pow y 2))) (/ x y)) y) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x y) x) y) x) y) |
(/ (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) y) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 x (/.f64 x y)) y) x) y) x) y) |
y |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal -1 binary64)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) x) #s(literal -1 binary64)) y)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))) |
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(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))) y x) |
(+ (* x (+ 1 (* y (- (* -1 (* y (- y 1))) 1)))) (* y (+ 1 (* y (- y 1))))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))) y x) |
(+ (* x (+ 1 (* y (- (* -1 (* y (- y 1))) 1)))) (* y (+ 1 (* y (- y 1))))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))) y x) |
(- y 1) |
(-.f64 y #s(literal 1 binary64)) |
(- (+ y (* -1 (* x (- y 1)))) 1) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64))) |
(- (+ y (* -1 (* x (- y 1)))) 1) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64))) |
(- (+ y (* -1 (* x (- y 1)))) 1) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64))) |
(/ (* x (- y 1)) (- (pow y 2) 1)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 x (fma.f64 y y #s(literal -1 binary64)))) |
(* x (- (+ (/ y (- (pow y 2) 1)) (/ (* y (- y 1)) (* x (- (pow y 2) 1)))) (/ 1 (- (pow y 2) 1)))) |
(*.f64 (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64)))) x) |
(* x (- (+ (/ y (- (pow y 2) 1)) (/ (* y (- y 1)) (* x (- (pow y 2) 1)))) (/ 1 (- (pow y 2) 1)))) |
(*.f64 (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64)))) x) |
(* x (- (+ (/ y (- (pow y 2) 1)) (/ (* y (- y 1)) (* x (- (pow y 2) 1)))) (/ 1 (- (pow y 2) 1)))) |
(*.f64 (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64)))) x) |
(/ x (- (pow y 2) 1)) |
(/.f64 x (fma.f64 y y #s(literal -1 binary64))) |
(* x (+ (/ 1 (- (pow y 2) 1)) (/ y (* x (- (pow y 2) 1))))) |
(*.f64 (neg.f64 x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))))) |
(* x (+ (/ 1 (- (pow y 2) 1)) (/ y (* x (- (pow y 2) 1))))) |
(*.f64 (neg.f64 x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))))) |
(* x (+ (/ 1 (- (pow y 2) 1)) (/ y (* x (- (pow y 2) 1))))) |
(*.f64 (neg.f64 x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))))) |
x |
(* x (+ 1 (/ y x))) |
(fma.f64 (/.f64 y x) x x) |
(* x (+ 1 (/ y x))) |
(fma.f64 (/.f64 y x) x x) |
(* x (+ 1 (/ y x))) |
(fma.f64 (/.f64 y x) x x) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(/ x y) |
(/.f64 x y) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(+.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (*.f64 x (/.f64 (/.f64 #s(literal -1 binary64) y) x))) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(+.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (*.f64 x (/.f64 (/.f64 #s(literal -1 binary64) y) x))) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(+.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (*.f64 x (/.f64 (/.f64 #s(literal -1 binary64) y) x))) |
(* -1 (/ x y)) |
(/.f64 x (neg.f64 y)) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 x (neg.f64 y))) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 x (neg.f64 y))) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 x (neg.f64 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 (- (* -1 (* y (- y 1))) 1)) |
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x) |
(* x (- (+ (* -1 (* y (- y 1))) (+ (/ 1 x) (/ (* y (- y 1)) x))) 1)) |
(fma.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 y #s(literal -1 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) x)) x (neg.f64 x)) |
(* x (- (+ (* -1 (* y (- y 1))) (+ (/ 1 x) (/ (* y (- y 1)) x))) 1)) |
(fma.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 y #s(literal -1 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) x)) x (neg.f64 x)) |
(* x (- (+ (* -1 (* y (- y 1))) (+ (/ 1 x) (/ (* y (- y 1)) x))) 1)) |
(fma.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 y #s(literal -1 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) x)) x (neg.f64 x)) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(* x (+ 1 (* y (- (* -1 (* y (- y 1))) 1)))) |
(fma.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) y) x x) |
(* x (+ 1 (+ (* y (- (* -1 (* y (- y 1))) 1)) (/ (* y (+ 1 (* y (- y 1)))) x)))) |
(*.f64 (neg.f64 x) (fma.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) (-.f64 y (/.f64 y x)) #s(literal -1 binary64))) |
(* x (+ 1 (+ (* y (- (* -1 (* y (- y 1))) 1)) (/ (* y (+ 1 (* y (- y 1)))) x)))) |
(*.f64 (neg.f64 x) (fma.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) (-.f64 y (/.f64 y x)) #s(literal -1 binary64))) |
(* x (+ 1 (+ (* y (- (* -1 (* y (- y 1))) 1)) (/ (* y (+ 1 (* y (- y 1)))) x)))) |
(*.f64 (neg.f64 x) (fma.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) (-.f64 y (/.f64 y x)) #s(literal -1 binary64))) |
(* -1 (* x (- y 1))) |
(fma.f64 (neg.f64 y) x x) |
(* x (- (+ (* -1 (- y 1)) (/ y x)) (/ 1 x))) |
(fma.f64 (-.f64 (-.f64 (/.f64 y x) y) #s(literal -1 binary64)) x #s(literal -1 binary64)) |
(* x (- (+ (* -1 (- y 1)) (/ y x)) (/ 1 x))) |
(fma.f64 (-.f64 (-.f64 (/.f64 y x) y) #s(literal -1 binary64)) x #s(literal -1 binary64)) |
(* x (- (+ (* -1 (- y 1)) (/ y x)) (/ 1 x))) |
(fma.f64 (-.f64 (-.f64 (/.f64 y x) y) #s(literal -1 binary64)) x #s(literal -1 binary64)) |
(/ (* x (- y 1)) (- (pow y 2) 1)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 x (fma.f64 y y #s(literal -1 binary64)))) |
(* -1 (* x (+ (* -1 (/ (* y (- y 1)) (* x (- (pow y 2) 1)))) (* -1 (/ (- y 1) (- (pow y 2) 1)))))) |
(*.f64 (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64)))) x) |
(* -1 (* x (+ (* -1 (/ (* y (- y 1)) (* x (- (pow y 2) 1)))) (* -1 (/ (- y 1) (- (pow y 2) 1)))))) |
(*.f64 (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64)))) x) |
(* -1 (* x (+ (* -1 (/ (* y (- y 1)) (* x (- (pow y 2) 1)))) (* -1 (/ (- y 1) (- (pow y 2) 1)))))) |
(*.f64 (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64)))) x) |
(/ x (- (pow y 2) 1)) |
(/.f64 x (fma.f64 y y #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ y (* x (- (pow y 2) 1)))) (/ 1 (- (pow y 2) 1))))) |
(*.f64 (neg.f64 x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))))) |
(* -1 (* x (- (* -1 (/ y (* x (- (pow y 2) 1)))) (/ 1 (- (pow y 2) 1))))) |
(*.f64 (neg.f64 x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))))) |
(* -1 (* x (- (* -1 (/ y (* x (- (pow y 2) 1)))) (/ 1 (- (pow y 2) 1))))) |
(*.f64 (neg.f64 x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 (/.f64 y x) x x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 (/.f64 y x) x x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 (/.f64 y x) x x) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(/ x y) |
(/.f64 x y) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(+.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (*.f64 x (/.f64 (/.f64 #s(literal -1 binary64) y) x))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(+.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (*.f64 x (/.f64 (/.f64 #s(literal -1 binary64) y) x))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(+.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (*.f64 x (/.f64 (/.f64 #s(literal -1 binary64) y) x))) |
(* -1 (/ x y)) |
(/.f64 x (neg.f64 y)) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 x (neg.f64 y))) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 x (neg.f64 y))) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 x (neg.f64 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) |
(* -1 (* x (+ 1 (* y (- y 1))))) |
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x) |
(* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1)))))) |
(neg.f64 (fma.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) x x)) |
(* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1)))))) |
(neg.f64 (fma.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) x x)) |
(* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1)))))) |
(neg.f64 (fma.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) x x)) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (* y (+ 1 (* y (- y 1)))) 1))) |
(fma.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) y) x x) |
(* -1 (* x (- (+ (* -1 (/ (* y (+ 1 (* y (- y 1)))) x)) (* y (+ 1 (* y (- y 1))))) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) (-.f64 y (/.f64 y x)) #s(literal -1 binary64))) |
(* -1 (* x (- (+ (* -1 (/ (* y (+ 1 (* y (- y 1)))) x)) (* y (+ 1 (* y (- y 1))))) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) (-.f64 y (/.f64 y x)) #s(literal -1 binary64))) |
(* -1 (* x (- (+ (* -1 (/ (* y (+ 1 (* y (- y 1)))) x)) (* y (+ 1 (* y (- y 1))))) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) (-.f64 y (/.f64 y x)) #s(literal -1 binary64))) |
(* -1 (* x (- y 1))) |
(fma.f64 (neg.f64 y) x x) |
(* -1 (* x (- (+ y (* -1 (/ (- y 1) x))) 1))) |
(fma.f64 (-.f64 (-.f64 (/.f64 y x) y) #s(literal -1 binary64)) x #s(literal -1 binary64)) |
(* -1 (* x (- (+ y (* -1 (/ (- y 1) x))) 1))) |
(fma.f64 (-.f64 (-.f64 (/.f64 y x) y) #s(literal -1 binary64)) x #s(literal -1 binary64)) |
(* -1 (* x (- (+ y (* -1 (/ (- y 1) x))) 1))) |
(fma.f64 (-.f64 (-.f64 (/.f64 y x) y) #s(literal -1 binary64)) x #s(literal -1 binary64)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 147 |
| 0 | 40 | 147 |
| 1 | 196 | 142 |
| 2 | 1811 | 142 |
| 0 | 9299 | 142 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (+.f64 y x) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64))) |
(/.f64 (+.f64 y x) (fma.f64 y y #s(literal -1 binary64))) |
(+.f64 y x) |
(fma.f64 y y #s(literal -1 binary64)) |
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(+.f64 #s(literal 1 binary64) y) |
#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(-.f64 #s(literal 1 binary64) x) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x)) |
(fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) |
(-.f64 y #s(literal 1 binary64)) |
| Outputs |
|---|
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
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Compiled 34 378 to 4 499 computations (86.9% saved)
13 alts after pruning (10 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 522 | 8 | 1 530 |
| Fresh | 1 | 2 | 3 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 526 | 13 | 1 539 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| 34.1% | (*.f64 #s(approx (/ (+ y x) (+ (* y y) -1)) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 y #s(literal 1 binary64))) | |
| 46.8% | (*.f64 #s(approx (/ (+ y x) (+ (* y y) -1)) (/.f64 x (fma.f64 y y #s(literal -1 binary64)))) (-.f64 y #s(literal 1 binary64))) | |
| 53.0% | (*.f64 #s(approx (/ (+ y x) (+ (* y y) -1)) (-.f64 (neg.f64 y) x)) (-.f64 y #s(literal 1 binary64))) | |
| 39.7% | (*.f64 #s(approx (/ (+ y x) (+ (* y y) -1)) (neg.f64 x)) (-.f64 y #s(literal 1 binary64))) | |
| ▶ | 53.6% | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
| ▶ | 39.8% | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) y x)) |
| ▶ | 52.4% | #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
| ✓ | 49.5% | #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
| 47.0% | #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))) | |
| ▶ | 39.7% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x))) |
| ▶ | 11.8% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) |
| ✓ | 37.6% | #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) |
Compiled 183 to 164 computations (10.4% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x) | |
| cost-diff | 0 | #s(approx (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) y x) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) y x)) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | (/.f64 y (+.f64 #s(literal 1 binary64) y)) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | #s(approx (/ x (+ 1 y)) (/.f64 x y)) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (fma.f64 (neg.f64 y) x x) | |
| cost-diff | 0 | #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x)) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 220 |
| 0 | 48 | 220 |
| 1 | 79 | 220 |
| 2 | 133 | 214 |
| 3 | 304 | 214 |
| 4 | 1102 | 214 |
| 5 | 3021 | 211 |
| 6 | 4817 | 211 |
| 7 | 6097 | 211 |
| 8 | 6818 | 211 |
| 9 | 7084 | 211 |
| 10 | 7427 | 211 |
| 11 | 7465 | 211 |
| 12 | 7645 | 211 |
| 0 | 8001 | 211 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
y |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x))) |
#s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x)) |
(fma.f64 (neg.f64 y) x x) |
(neg.f64 y) |
y |
x |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) |
#s(approx (/ x (+ 1 y)) (/.f64 x y)) |
(/.f64 x y) |
x |
y |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
(/.f64 y (+.f64 #s(literal 1 binary64) y)) |
y |
(+.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) y x)) |
(fma.f64 #s(approx (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) y x) |
#s(approx (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) |
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
#s(literal -1 binary64) |
x |
| Outputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
y |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))) |
#s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x)) |
#s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) |
(fma.f64 (neg.f64 y) x x) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(neg.f64 y) |
y |
x |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) |
#s(approx (/ x (+ 1 y)) (/.f64 x y)) |
(/.f64 x y) |
x |
y |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(/.f64 y (+.f64 #s(literal 1 binary64) y)) |
(/.f64 y (+.f64 y #s(literal 1 binary64))) |
y |
(+.f64 #s(literal 1 binary64) y) |
(+.f64 y #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) y x)) |
(fma.f64 #s(approx (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) y x) |
#s(approx (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) |
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
#s(literal -1 binary64) |
x |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.04296875 | (fma.f64 #s(approx (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) y x) | |
| accuracy | 4.2577193067645425 | (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x) | |
| accuracy | 29.41964733887199 | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) y x)) | |
| accuracy | 32.67410735031816 | #s(approx (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) | |
| accuracy | 0 | (+.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.015625 | (/.f64 y (+.f64 #s(literal 1 binary64) y)) | |
| accuracy | 30.482058604720297 | #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 32.31362682803575 | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) | |
| accuracy | 33.82698922903817 | #s(approx (/ x (+ 1 y)) (/.f64 x y)) | |
| accuracy | 0 | (fma.f64 (neg.f64 y) x x) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 29.63720034095164 | #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x)) | |
| accuracy | 32.31362682803575 | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x))) | |
| accuracy | 0 | (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) x) | |
| accuracy | 29.686228939839996 | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
| 123.0ms | 256× | 0 | valid |
Compiled 264 to 52 computations (80.3% saved)
ival-add: 76.0ms (69.6% of total)ival-div: 18.0ms (16.5% of total)ival-mult: 10.0ms (9.2% of total)ival-sub: 3.0ms (2.7% of total)ival-neg: 1.0ms (0.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) (patch #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) (patch (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x)) (patch #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 y) x x) (patch (fma.f64 (neg.f64 y) x x) #<representation binary64>) () ()) |
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ x (+ 1 y)) (/.f64 x y)) (patch #s(approx (/ x (+ 1 y)) (/.f64 x y)) #<representation binary64>) () ()) |
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ()) |
#s(alt (/.f64 y (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 y (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 1 binary64) y) (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) y x)) (patch #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) y x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(approx (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) y x) (patch (fma.f64 #s(approx (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) y x) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) (patch #s(approx (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x) (patch (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) (patch #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) (patch #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (+ 1 (* y (- x 1))) x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) (patch #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) (patch #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) (patch (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) (patch (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) (patch (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) (patch (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (+ 1 (* y (- x 1))) x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x)) (patch #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x y))) (taylor 0 y) (#s(alt #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x)) (patch #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (* x y) x))) (taylor 0 y) (#s(alt #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x)) (patch #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))) (taylor 0 y) (#s(alt #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x)) (patch #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (fma.f64 (neg.f64 y) x x) (patch (fma.f64 (neg.f64 y) x x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x y))) (taylor 0 y) (#s(alt (fma.f64 (neg.f64 y) x x) (patch (fma.f64 (neg.f64 y) x x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x y))) (taylor 0 y) (#s(alt (fma.f64 (neg.f64 y) x x) (patch (fma.f64 (neg.f64 y) x x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x y))) (taylor 0 y) (#s(alt (fma.f64 (neg.f64 y) x x) (patch (fma.f64 (neg.f64 y) x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (+ 1 (* y (- x 1))) x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x)) (patch #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x)) (patch #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x)) (patch #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x)) (patch #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- y 1))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 y) x x) (patch (fma.f64 (neg.f64 y) x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- y 1))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 y) x x) (patch (fma.f64 (neg.f64 y) x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- y 1))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 y) x x) (patch (fma.f64 (neg.f64 y) x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- y 1))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 y) x x) (patch (fma.f64 (neg.f64 y) x x) #<representation binary64>) () ())) ()) |
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ x (+ 1 y)) (/.f64 x y)) (patch #s(approx (/ x (+ 1 y)) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ x (+ 1 y)) (/.f64 x y)) (patch #s(approx (/ x (+ 1 y)) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ x (+ 1 y)) (/.f64 x y)) (patch #s(approx (/ x (+ 1 y)) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ x (+ 1 y)) (/.f64 x y)) (patch #s(approx (/ x (+ 1 y)) (/.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>) () ())) ()) |
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) y x)) (patch #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) y x)) (patch #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) y x)) (patch #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) y x)) (patch #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* y (+ 1 (* y (- y 1)))) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) y x) (patch (fma.f64 #s(approx (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ (* y (+ 1 (* y (- y 1)))) x)) (* y (+ 1 (* y (- y 1))))) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) y x) (patch (fma.f64 #s(approx (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ (* y (+ 1 (* y (- y 1)))) x)) (* y (+ 1 (* y (- y 1))))) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) y x) (patch (fma.f64 #s(approx (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ (* y (+ 1 (* y (- y 1)))) x)) (* y (+ 1 (* y (- y 1))))) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) y x) (patch (fma.f64 #s(approx (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* y (- y 1))))) (taylor -inf x) (#s(alt #s(approx (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) (patch #s(approx (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1)))))) (taylor -inf x) (#s(alt #s(approx (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) (patch #s(approx (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1)))))) (taylor -inf x) (#s(alt #s(approx (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) (patch #s(approx (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1)))))) (taylor -inf x) (#s(alt #s(approx (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) (patch #s(approx (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* y (- 1 y)) 1)) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x) (patch (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* y (- 1 y)) 1)) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x) (patch (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* y (- 1 y)) 1)) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x) (patch (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* y (- 1 y)) 1)) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x) (patch (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | y | @ | 0 | ((/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (- 1 x) (/ (+ x y) (+ y 1)) (/ x (+ 1 y)) (+ (* (neg y) x) x) (neg y) (/ (+ x y) (+ y 1)) (/ x (+ 1 y)) (/ x y) (/ (+ x y) (+ y 1)) (/ y (+ 1 y)) (+ 1 y) (/ (+ x y) (+ y 1)) (+ (* (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) y) x) (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (* (+ (* (- 1 y) y) -1) x)) |
| 4.0ms | y | @ | inf | ((/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (- 1 x) (/ (+ x y) (+ y 1)) (/ x (+ 1 y)) (+ (* (neg y) x) x) (neg y) (/ (+ x y) (+ y 1)) (/ x (+ 1 y)) (/ x y) (/ (+ x y) (+ y 1)) (/ y (+ 1 y)) (+ 1 y) (/ (+ x y) (+ y 1)) (+ (* (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) y) x) (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (* (+ (* (- 1 y) y) -1) x)) |
| 4.0ms | x | @ | inf | ((/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (- 1 x) (/ (+ x y) (+ y 1)) (/ x (+ 1 y)) (+ (* (neg y) x) x) (neg y) (/ (+ x y) (+ y 1)) (/ x (+ 1 y)) (/ x y) (/ (+ x y) (+ y 1)) (/ y (+ 1 y)) (+ 1 y) (/ (+ x y) (+ y 1)) (+ (* (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) y) x) (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (* (+ (* (- 1 y) y) -1) x)) |
| 2.0ms | x | @ | -inf | ((/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (- 1 x) (/ (+ x y) (+ y 1)) (/ x (+ 1 y)) (+ (* (neg y) x) x) (neg y) (/ (+ x y) (+ y 1)) (/ x (+ 1 y)) (/ x y) (/ (+ x y) (+ y 1)) (/ y (+ 1 y)) (+ 1 y) (/ (+ x y) (+ y 1)) (+ (* (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) y) x) (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (* (+ (* (- 1 y) y) -1) x)) |
| 2.0ms | x | @ | 0 | ((/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (- 1 x) (/ (+ x y) (+ y 1)) (/ x (+ 1 y)) (+ (* (neg y) x) x) (neg y) (/ (+ x y) (+ y 1)) (/ x (+ 1 y)) (/ x y) (/ (+ x y) (+ y 1)) (/ y (+ 1 y)) (+ 1 y) (/ (+ x y) (+ y 1)) (+ (* (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) y) x) (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (* (+ (* (- 1 y) y) -1) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 262 | 3498 |
| 1 | 853 | 3335 |
| 2 | 2537 | 2993 |
| 0 | 8195 | 2844 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(+ x (* y (- 1 x))) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
x |
(+ x (* y (- 1 x))) |
(+ x (* y (- 1 x))) |
(+ x (* y (- 1 x))) |
x |
(+ x (* y (- 1 x))) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
x |
(+ x (* -1 (* x y))) |
(+ x (* y (- (* x y) x))) |
(+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))) |
x |
(+ x (* -1 (* x y))) |
(+ x (* -1 (* x y))) |
(+ x (* -1 (* x y))) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
x |
(+ x (* y (- 1 x))) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
x |
(+ x (* -1 (* x y))) |
(+ x (* y (- (* x y) x))) |
(+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
x |
(+ x (* y (- 1 x))) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 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) |
(+ 1 y) |
(+ 1 y) |
x |
(+ x (* y (- 1 x))) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
x |
(+ x (* y (- 1 x))) |
(+ x (* y (- (+ 1 (* -1 (* y (- 1 x)))) x))) |
(+ x (* y (- (+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x))))) x))) |
(- 1 x) |
(- (+ 1 (* -1 (* y (- 1 x)))) x) |
(- (+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x))))) x) |
(- (+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x))))) x) |
(* -1 x) |
(+ (* -1 x) (* x y)) |
(+ (* -1 x) (* y (+ x (* -1 (* x y))))) |
(+ (* -1 x) (* y (+ x (* -1 (* x y))))) |
1 |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))) |
(* y (- 1 x)) |
(* y (- (+ 1 (/ x y)) x)) |
(* y (- (+ 1 (/ x y)) x)) |
(* y (- (+ 1 (/ x y)) x)) |
1 |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))) |
(/ x y) |
(/ (+ x (* -1 (/ x y))) y) |
(/ (- (+ x (/ x (pow y 2))) (/ x y)) y) |
(/ (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) y) |
(* -1 (* x y)) |
(* y (+ (* -1 x) (/ x y))) |
(* y (+ (* -1 x) (/ x y))) |
(* y (+ (* -1 x) (/ x y))) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
1 |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))) |
(/ x y) |
(/ (+ x (* -1 (/ x y))) y) |
(/ (- (+ x (/ x (pow y 2))) (/ x y)) y) |
(/ (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
1 |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 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)))) |
y |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
1 |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))) |
(* (pow y 3) (- 1 x)) |
(* (pow y 3) (- (+ 1 (* -1 (/ (- 1 x) y))) x)) |
(* (pow y 3) (- (+ 1 (+ (* -1 (/ (- 1 x) y)) (/ 1 (pow y 2)))) (+ x (/ x (pow y 2))))) |
(* (pow y 3) (- (+ 1 (+ (* -1 (/ (- 1 x) y)) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ x (/ x (pow y 2))))) |
(* (pow y 2) (- 1 x)) |
(* (pow y 2) (- (+ 1 (* -1 (/ (- 1 x) y))) x)) |
(* (pow y 2) (- (+ 1 (+ (* -1 (/ (- 1 x) y)) (/ 1 (pow y 2)))) (+ x (/ x (pow y 2))))) |
(* (pow y 2) (- (+ 1 (+ (* -1 (/ (- 1 x) y)) (/ 1 (pow y 2)))) (+ x (/ x (pow y 2))))) |
(* -1 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (+ (* -1 x) (+ (* -1 (/ x (pow y 2))) (/ x y)))) |
(* (pow y 2) (+ (* -1 x) (+ (* -1 (/ x (pow y 2))) (/ x y)))) |
1 |
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y))) |
(* y (- 1 x)) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y))))) |
1 |
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y))) |
(/ x y) |
(* -1 (/ (+ (* -1 x) (/ x y)) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x y) x) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x y) x) y)) x) y))) y)) |
(* -1 (* x y)) |
(* -1 (* y (+ x (* -1 (/ x y))))) |
(* -1 (* y (+ x (* -1 (/ x y))))) |
(* -1 (* y (+ x (* -1 (/ x y))))) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
1 |
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y))) |
(/ x y) |
(* -1 (/ (+ (* -1 x) (/ x y)) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x y) x) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x y) x) y)) x) y))) y)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
1 |
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) 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 (/ (+ 1 (* -1 x)) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y))) |
(* (pow y 3) (- 1 x)) |
(* -1 (* (pow y 3) (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)))) |
(* -1 (* (pow y 3) (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y))))) |
(* -1 (* (pow y 3) (+ (* -1 (- 1 x)) (* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ x y))) y))) y))))) |
(* (pow y 2) (- 1 x)) |
(* (pow y 2) (- (+ 1 (* -1 (/ (- 1 x) y))) x)) |
(* (pow y 2) (- (+ 1 (* -1 (/ (- (+ 1 (* -1 (/ (- 1 x) y))) x) y))) x)) |
(* (pow y 2) (- (+ 1 (* -1 (/ (- (+ 1 (* -1 (/ (- 1 x) y))) x) y))) x)) |
(* -1 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (+ (* -1 x) (* -1 (/ (+ (* -1 x) (/ x y)) y)))) |
(* (pow y 2) (+ (* -1 x) (* -1 (/ (+ (* -1 x) (/ x y)) y)))) |
(/ y (+ 1 y)) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
y |
(+ y (* x (+ 1 (* -1 y)))) |
(+ y (* x (+ 1 (* -1 y)))) |
(+ y (* x (+ 1 (* -1 y)))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(/ y (+ 1 y)) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(* x (+ 1 (* -1 y))) |
(* x (+ 1 (* -1 y))) |
(* x (+ 1 (* -1 y))) |
(* x (+ 1 (* -1 y))) |
(/ y (+ 1 y)) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ y (+ 1 y)) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(/ y (+ 1 y)) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(* y (+ 1 (* y (- y 1)))) |
(+ (* x (+ 1 (* y (- (* -1 (* y (- y 1))) 1)))) (* y (+ 1 (* y (- y 1))))) |
(+ (* x (+ 1 (* y (- (* -1 (* y (- y 1))) 1)))) (* y (+ 1 (* y (- y 1))))) |
(+ (* x (+ 1 (* y (- (* -1 (* y (- y 1))) 1)))) (* y (+ 1 (* y (- y 1))))) |
(+ 1 (* y (- y 1))) |
(+ 1 (+ (* x (- (* -1 (* y (- y 1))) 1)) (* y (- y 1)))) |
(+ 1 (+ (* x (- (* -1 (* y (- y 1))) 1)) (* y (- y 1)))) |
(+ 1 (+ (* x (- (* -1 (* y (- y 1))) 1)) (* y (- y 1)))) |
(* x (- (* y (- 1 y)) 1)) |
(* x (- (* y (- 1 y)) 1)) |
(* x (- (* y (- 1 y)) 1)) |
(* x (- (* y (- 1 y)) 1)) |
(/ x (+ 1 y)) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* x (+ 1 (* -1 y))) |
(* x (+ 1 (+ (* -1 y) (/ y x)))) |
(* x (+ 1 (+ (* -1 y) (/ y x)))) |
(* x (+ 1 (+ (* -1 y) (/ y x)))) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(/ x (+ 1 y)) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(* x (+ 1 (* -1 y))) |
(* x (+ 1 (* -1 y))) |
(* x (+ 1 (* -1 y))) |
(* x (+ 1 (* -1 y))) |
(/ x (+ 1 y)) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x (+ 1 y)) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(/ x (+ 1 y)) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* x (+ 1 (* y (- (* -1 (* y (- y 1))) 1)))) |
(* x (+ 1 (+ (* y (- (* -1 (* y (- y 1))) 1)) (/ (* y (+ 1 (* y (- y 1)))) x)))) |
(* x (+ 1 (+ (* y (- (* -1 (* y (- y 1))) 1)) (/ (* y (+ 1 (* y (- y 1)))) x)))) |
(* x (+ 1 (+ (* y (- (* -1 (* y (- y 1))) 1)) (/ (* y (+ 1 (* y (- y 1)))) x)))) |
(* x (- (* -1 (* y (- y 1))) 1)) |
(* x (- (+ (* -1 (* y (- y 1))) (+ (/ 1 x) (/ (* y (- y 1)) x))) 1)) |
(* x (- (+ (* -1 (* y (- y 1))) (+ (/ 1 x) (/ (* y (- y 1)) x))) 1)) |
(* x (- (+ (* -1 (* y (- y 1))) (+ (/ 1 x) (/ (* y (- y 1)) x))) 1)) |
(* x (- (* y (- 1 y)) 1)) |
(* x (- (* y (- 1 y)) 1)) |
(* x (- (* y (- 1 y)) 1)) |
(* x (- (* y (- 1 y)) 1)) |
(/ x (+ 1 y)) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- y 1))) |
(* -1 (* x (- (+ y (* -1 (/ y x))) 1))) |
(* -1 (* x (- (+ y (* -1 (/ y x))) 1))) |
(* -1 (* x (- (+ y (* -1 (/ y x))) 1))) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(/ x (+ 1 y)) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(* -1 (* x (- y 1))) |
(* -1 (* x (- y 1))) |
(* -1 (* x (- y 1))) |
(* -1 (* x (- y 1))) |
(/ x (+ 1 y)) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x (+ 1 y)) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(/ x (+ 1 y)) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (* y (+ 1 (* y (- y 1)))) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y (+ 1 (* y (- y 1)))) x)) (* y (+ 1 (* y (- y 1))))) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y (+ 1 (* y (- y 1)))) x)) (* y (+ 1 (* y (- y 1))))) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y (+ 1 (* y (- y 1)))) x)) (* y (+ 1 (* y (- y 1))))) 1))) |
(* -1 (* x (+ 1 (* y (- y 1))))) |
(* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1)))))) |
(* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1)))))) |
(* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1)))))) |
(* x (- (* y (- 1 y)) 1)) |
(* x (- (* y (- 1 y)) 1)) |
(* x (- (* y (- 1 y)) 1)) |
(* x (- (* y (- 1 y)) 1)) |
| Outputs |
|---|
x |
(+ x (* y (- 1 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x)) y x) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))) y x) |
x |
(+ x (* y (- 1 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
(+ x (* y (- 1 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
(+ x (* y (- 1 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
x |
(+ x (* y (- 1 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x)) y x) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))) y x) |
x |
(+ x (* -1 (* x y))) |
(-.f64 x (*.f64 y x)) |
(+ x (* y (- (* x y) x))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) x) |
(+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))) |
(fma.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) y) x x) |
x |
(+ x (* -1 (* x y))) |
(-.f64 x (*.f64 y x)) |
(+ x (* -1 (* x y))) |
(-.f64 x (*.f64 y x)) |
(+ x (* -1 (* x y))) |
(-.f64 x (*.f64 y x)) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
x |
(+ x (* y (- 1 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x)) y x) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))) y x) |
x |
(+ x (* -1 (* x y))) |
(-.f64 x (*.f64 y x)) |
(+ x (* y (- (* x y) x))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) x) |
(+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))) |
(fma.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) y) x x) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
x |
(+ x (* y (- 1 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x)) y x) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))) y x) |
y |
(* y (+ 1 (* -1 y))) |
(fma.f64 (neg.f64 y) y y) |
(* y (+ 1 (* y (- y 1)))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y) |
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) y #s(literal 1 binary64)) y) |
1 |
#s(literal 1 binary64) |
(+ 1 y) |
(+.f64 #s(literal 1 binary64) y) |
(+ 1 y) |
(+.f64 #s(literal 1 binary64) y) |
(+ 1 y) |
(+.f64 #s(literal 1 binary64) y) |
x |
(+ x (* y (- 1 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x)) y x) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))) y x) |
x |
(+ x (* y (- 1 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
(+ x (* y (- (+ 1 (* -1 (* y (- 1 x)))) x))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x)) y x) |
(+ x (* y (- (+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x))))) x))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))) y x) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
(- (+ 1 (* -1 (* y (- 1 x)))) x) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x)) |
(- (+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x))))) x) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(- (+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x))))) x) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (* x y)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(+ (* -1 x) (* y (+ x (* -1 (* x y))))) |
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x) |
(+ (* -1 x) (* y (+ x (* -1 (* x y))))) |
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal -1 binary64)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) x) #s(literal -1 binary64)) y)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))) |
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* y (- (+ 1 (/ x y)) x)) |
(fma.f64 (-.f64 (/.f64 x y) x) y y) |
(* y (- (+ 1 (/ x y)) x)) |
(fma.f64 (-.f64 (/.f64 x y) x) y y) |
(* y (- (+ 1 (/ x y)) x)) |
(fma.f64 (-.f64 (/.f64 x y) x) y y) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal -1 binary64)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) x) #s(literal -1 binary64)) y)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))) |
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) |
(/ x y) |
(/.f64 x y) |
(/ (+ x (* -1 (/ x y))) y) |
(/.f64 (-.f64 x (/.f64 x y)) y) |
(/ (- (+ x (/ x (pow y 2))) (/ x y)) y) |
(/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x y)) y)) y) |
(/ (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) y) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 x (/.f64 x y)) y) x) y) x) y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* y (+ (* -1 x) (/ x y))) |
(*.f64 (-.f64 (/.f64 x y) x) y) |
(* y (+ (* -1 x) (/ x y))) |
(*.f64 (-.f64 (/.f64 x y) x) y) |
(* y (+ (* -1 x) (/ x y))) |
(*.f64 (-.f64 (/.f64 x y) x) y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (/ x y)) (/ 1 y)) |
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(+ 1 (+ (* x (- (* -1 (* y (- y 1))) 1)) (* y (- y 1)))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(+ 1 (+ (* x (- (* -1 (* y (- y 1))) 1)) (* y (- y 1)))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(+ 1 (+ (* x (- (* -1 (* y (- y 1))) 1)) (* y (- y 1)))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(* x (- (* y (- 1 y)) 1)) |
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x) |
(* x (- (* y (- 1 y)) 1)) |
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x) |
(* x (- (* y (- 1 y)) 1)) |
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x) |
(* x (- (* y (- 1 y)) 1)) |
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(* x (+ 1 (* -1 y))) |
(-.f64 x (*.f64 y x)) |
(* x (+ 1 (+ (* -1 y) (/ y x)))) |
(fma.f64 (-.f64 (/.f64 y x) y) x x) |
(* x (+ 1 (+ (* -1 y) (/ y x)))) |
(fma.f64 (-.f64 (/.f64 y x) y) x x) |
(* x (+ 1 (+ (* -1 y) (/ y x)))) |
(fma.f64 (-.f64 (/.f64 y x) y) x x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(* x (+ 1 (* -1 y))) |
(-.f64 x (*.f64 y x)) |
(* x (+ 1 (* -1 y))) |
(-.f64 x (*.f64 y x)) |
(* x (+ 1 (* -1 y))) |
(-.f64 x (*.f64 y x)) |
(* x (+ 1 (* -1 y))) |
(-.f64 x (*.f64 y x)) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(* x (+ 1 (* y (- (* -1 (* y (- y 1))) 1)))) |
(fma.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) y) x x) |
(* x (+ 1 (+ (* y (- (* -1 (* y (- y 1))) 1)) (/ (* y (+ 1 (* y (- y 1)))) x)))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) (-.f64 y (/.f64 y x)) #s(literal -1 binary64)) (neg.f64 x)) |
(* x (+ 1 (+ (* y (- (* -1 (* y (- y 1))) 1)) (/ (* y (+ 1 (* y (- y 1)))) x)))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) (-.f64 y (/.f64 y x)) #s(literal -1 binary64)) (neg.f64 x)) |
(* x (+ 1 (+ (* y (- (* -1 (* y (- y 1))) 1)) (/ (* y (+ 1 (* y (- y 1)))) x)))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) (-.f64 y (/.f64 y x)) #s(literal -1 binary64)) (neg.f64 x)) |
(* x (- (* -1 (* y (- y 1))) 1)) |
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x) |
(* x (- (+ (* -1 (* y (- y 1))) (+ (/ 1 x) (/ (* y (- y 1)) x))) 1)) |
(-.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 (/.f64 y x) y)) x #s(literal 1 binary64)) x) |
(* x (- (+ (* -1 (* y (- y 1))) (+ (/ 1 x) (/ (* y (- y 1)) x))) 1)) |
(-.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 (/.f64 y x) y)) x #s(literal 1 binary64)) x) |
(* x (- (+ (* -1 (* y (- y 1))) (+ (/ 1 x) (/ (* y (- y 1)) x))) 1)) |
(-.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 (/.f64 y x) y)) x #s(literal 1 binary64)) x) |
(* x (- (* y (- 1 y)) 1)) |
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x) |
(* x (- (* y (- 1 y)) 1)) |
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x) |
(* x (- (* y (- 1 y)) 1)) |
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x) |
(* x (- (* y (- 1 y)) 1)) |
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- y 1))) |
(-.f64 x (*.f64 y x)) |
(* -1 (* x (- (+ y (* -1 (/ y x))) 1))) |
(fma.f64 (-.f64 (/.f64 y x) y) x x) |
(* -1 (* x (- (+ y (* -1 (/ y x))) 1))) |
(fma.f64 (-.f64 (/.f64 y x) y) x x) |
(* -1 (* x (- (+ y (* -1 (/ y x))) 1))) |
(fma.f64 (-.f64 (/.f64 y 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 (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (- y 1))) |
(-.f64 x (*.f64 y x)) |
(* -1 (* x (- y 1))) |
(-.f64 x (*.f64 y x)) |
(* -1 (* x (- y 1))) |
(-.f64 x (*.f64 y x)) |
(* -1 (* x (- y 1))) |
(-.f64 x (*.f64 y x)) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (* y (+ 1 (* y (- y 1)))) 1))) |
(fma.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) y) x x) |
(* -1 (* x (- (+ (* -1 (/ (* y (+ 1 (* y (- y 1)))) x)) (* y (+ 1 (* y (- y 1))))) 1))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) (-.f64 y (/.f64 y x)) #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (* x (- (+ (* -1 (/ (* y (+ 1 (* y (- y 1)))) x)) (* y (+ 1 (* y (- y 1))))) 1))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) (-.f64 y (/.f64 y x)) #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (* x (- (+ (* -1 (/ (* y (+ 1 (* y (- y 1)))) x)) (* y (+ 1 (* y (- y 1))))) 1))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) (-.f64 y (/.f64 y x)) #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (* x (+ 1 (* y (- y 1))))) |
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x) |
(* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1)))))) |
(neg.f64 (fma.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) x x)) |
(* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1)))))) |
(neg.f64 (fma.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) x x)) |
(* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1)))))) |
(neg.f64 (fma.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) x x)) |
(* x (- (* y (- 1 y)) 1)) |
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x) |
(* x (- (* y (- 1 y)) 1)) |
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x) |
(* x (- (* y (- 1 y)) 1)) |
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x) |
(* x (- (* y (- 1 y)) 1)) |
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 198 |
| 0 | 48 | 198 |
| 1 | 206 | 198 |
| 2 | 1634 | 198 |
| 0 | 8309 | 195 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
(-.f64 #s(literal 1 binary64) x) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x))) |
#s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x)) |
(fma.f64 (neg.f64 y) x x) |
(neg.f64 y) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) |
#s(approx (/ x (+ 1 y)) (/.f64 x y)) |
(/.f64 x y) |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
(/.f64 y (+.f64 #s(literal 1 binary64) y)) |
(+.f64 #s(literal 1 binary64) y) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) y x)) |
(fma.f64 #s(approx (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) y x) |
#s(approx (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) |
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x) |
| Outputs |
|---|
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Compiled 10 205 to 1 539 computations (84.9% saved)
14 alts after pruning (7 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 659 | 4 | 663 |
| Fresh | 2 | 3 | 5 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 662 | 14 | 676 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| 34.1% | (*.f64 #s(approx (/ (+ y x) (+ (* y y) -1)) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 y #s(literal 1 binary64))) | |
| 46.8% | (*.f64 #s(approx (/ (+ y x) (+ (* y y) -1)) (/.f64 x (fma.f64 y y #s(literal -1 binary64)))) (-.f64 y #s(literal 1 binary64))) | |
| ▶ | 53.3% | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
| ✓ | 39.8% | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) y x)) |
| ✓ | 52.4% | #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
| ✓ | 49.5% | #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
| ▶ | 47.0% | #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))) |
| ▶ | 16.4% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (fma.f64 (neg.f64 y) y y))) |
| ✓ | 39.7% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x))) |
| ✓ | 11.8% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) |
| ▶ | 11.7% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 #s(literal 1 binary64) (/.f64 y x)))) |
| ▶ | 39.7% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))) |
| ✓ | 37.6% | #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) |
Compiled 160 to 147 computations (8.1% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 y x) | |
| cost-diff | 0 | #s(approx (/ x (+ 1 y)) (/.f64 #s(literal 1 binary64) (/.f64 y x))) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 #s(literal 1 binary64) (/.f64 y x)))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 y x)) | |
| cost-diff | 0 | #s(approx (- 1 x) (neg.f64 x)) | |
| cost-diff | 0 | (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y)) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (fma.f64 (neg.f64 y) y y) | |
| cost-diff | 0 | #s(approx (/ y (+ 1 y)) (fma.f64 (neg.f64 y) y y)) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (fma.f64 (neg.f64 y) y y))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(literal 1 binary64) y) x) | |
| cost-diff | 0 | #s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))) | |
| cost-diff | 0 | #s(approx (- 1 x) #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 199 |
| 0 | 42 | 199 |
| 1 | 66 | 199 |
| 2 | 94 | 193 |
| 3 | 149 | 193 |
| 4 | 243 | 193 |
| 5 | 422 | 193 |
| 6 | 586 | 193 |
| 7 | 878 | 193 |
| 8 | 1303 | 193 |
| 9 | 1572 | 193 |
| 10 | 1761 | 193 |
| 11 | 1819 | 193 |
| 12 | 1843 | 193 |
| 13 | 1844 | 193 |
| 0 | 1844 | 193 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
(fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) |
#s(approx (- 1 x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
y |
x |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))) |
#s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
x |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (fma.f64 (neg.f64 y) y y))) |
#s(approx (/ y (+ 1 y)) (fma.f64 (neg.f64 y) y y)) |
(fma.f64 (neg.f64 y) y y) |
(neg.f64 y) |
y |
#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y)) |
#s(literal 1 binary64) |
(/.f64 #s(approx (- 1 x) (neg.f64 x)) y) |
#s(approx (- 1 x) (neg.f64 x)) |
(neg.f64 x) |
x |
y |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 #s(literal 1 binary64) (/.f64 y x)))) |
#s(approx (/ x (+ 1 y)) (/.f64 #s(literal 1 binary64) (/.f64 y x))) |
(/.f64 #s(literal 1 binary64) (/.f64 y x)) |
#s(literal 1 binary64) |
(/.f64 y x) |
y |
x |
| Outputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x)) |
(fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) |
(fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x) |
#s(approx (- 1 x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
y |
x |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))) |
#s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
x |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (fma.f64 (neg.f64 y) y y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) |
#s(approx (/ y (+ 1 y)) (fma.f64 (neg.f64 y) y y)) |
#s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)) |
(fma.f64 (neg.f64 y) y y) |
(*.f64 (-.f64 #s(literal 1 binary64) y) y) |
(neg.f64 y) |
y |
#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y)) |
#s(literal 1 binary64) |
(/.f64 #s(approx (- 1 x) (neg.f64 x)) y) |
#s(approx (- 1 x) (neg.f64 x)) |
(neg.f64 x) |
x |
y |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 #s(literal 1 binary64) (/.f64 y x)))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) |
#s(approx (/ x (+ 1 y)) (/.f64 #s(literal 1 binary64) (/.f64 y x))) |
#s(approx (/ x (+ 1 y)) (/.f64 x y)) |
(/.f64 #s(literal 1 binary64) (/.f64 y x)) |
(/.f64 x y) |
#s(literal 1 binary64) |
(/.f64 y x) |
y |
x |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 y x) | |
| accuracy | 0.6957007108006665 | (/.f64 #s(literal 1 binary64) (/.f64 y x)) | |
| accuracy | 32.31362682803575 | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 #s(literal 1 binary64) (/.f64 y x)))) | |
| accuracy | 33.82698922903817 | #s(approx (/ x (+ 1 y)) (/.f64 #s(literal 1 binary64) (/.f64 y x))) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0.00390625 | (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y)) | |
| accuracy | 33.8441231984953 | #s(approx (- 1 x) (neg.f64 x)) | |
| accuracy | 33.98933311671776 | #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))) | |
| accuracy | 0 | (fma.f64 (neg.f64 y) y y) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 30.056803541463335 | #s(approx (/ y (+ 1 y)) (fma.f64 (neg.f64 y) y y)) | |
| accuracy | 30.482058604720297 | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (fma.f64 (neg.f64 y) y y))) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.01171875 | (*.f64 (-.f64 #s(literal 1 binary64) y) x) | |
| accuracy | 29.63720034095164 | #s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) | |
| accuracy | 32.31362682803575 | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))) | |
| accuracy | 0 | (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) | |
| accuracy | 28.923840547181197 | #s(approx (- 1 x) #s(literal 1 binary64)) | |
| accuracy | 29.686228939839996 | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
| 121.0ms | 256× | 0 | valid |
Compiled 229 to 47 computations (79.5% saved)
ival-div: 36.0ms (50.9% of total)ival-mult: 22.0ms (31.1% of total)ival-add: 6.0ms (8.5% of total)ival-sub: 4.0ms (5.7% of total)ival-neg: 2.0ms (2.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) (patch #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) (patch (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 x) #s(literal 1 binary64)) (patch #s(approx (- 1 x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) (patch #s(approx (/ x (+ 1 y)) (*.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 (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (fma.f64 (neg.f64 y) y y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (fma.f64 (neg.f64 y) y y))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ y (+ 1 y)) (fma.f64 (neg.f64 y) y y)) (patch #s(approx (/ y (+ 1 y)) (fma.f64 (neg.f64 y) y y)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 y) y y) (patch (fma.f64 (neg.f64 y) y y) #<representation binary64>) () ()) |
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))) (patch #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y)) (patch (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) (patch (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 x) (neg.f64 x)) (patch #s(approx (- 1 x) (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 y x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 y x)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 #s(literal 1 binary64) (/.f64 y x)))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 #s(literal 1 binary64) (/.f64 y x)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ x (+ 1 y)) (/.f64 #s(literal 1 binary64) (/.f64 y x))) (patch #s(approx (/ x (+ 1 y)) (/.f64 #s(literal 1 binary64) (/.f64 y x))) #<representation binary64>) () ()) |
#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) (patch #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) (patch #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (+ 1 (* y (- x 1))) x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) (patch #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) (patch #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) (patch (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) (patch (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) (patch (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) (patch (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (+ 1 (* y (- x 1))) x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))) #<representation binary64>) () ())) ()) |
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#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) (patch #s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) (patch #s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) (patch #s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 y)) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 y)) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 y)) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 y)) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (fma.f64 (neg.f64 y) y y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (fma.f64 (neg.f64 y) y y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (fma.f64 (neg.f64 y) y y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (fma.f64 (neg.f64 y) y y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (fma.f64 (neg.f64 y) y y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (fma.f64 (neg.f64 y) y y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (fma.f64 (neg.f64 y) y y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (fma.f64 (neg.f64 y) y y))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))) (patch #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))) (patch #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))) (patch #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))) (patch #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y)) (patch (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y)) (patch (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y)) (patch (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y)) (patch (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x y)) (taylor -inf x) (#s(alt (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) (patch (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) (taylor -inf x) (#s(alt (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) (patch (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) (taylor -inf x) (#s(alt (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) (patch (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) (taylor -inf x) (#s(alt (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) (patch (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt #s(approx (- 1 x) (neg.f64 x)) (patch #s(approx (- 1 x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (- 1 x) (neg.f64 x)) (patch #s(approx (- 1 x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (- 1 x) (neg.f64 x)) (patch #s(approx (- 1 x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (- 1 x) (neg.f64 x)) (patch #s(approx (- 1 x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 y x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 y x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 y x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 y x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 #s(literal 1 binary64) (/.f64 y x)))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 #s(literal 1 binary64) (/.f64 y x)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 #s(literal 1 binary64) (/.f64 y x)))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 #s(literal 1 binary64) (/.f64 y x)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 #s(literal 1 binary64) (/.f64 y x)))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 #s(literal 1 binary64) (/.f64 y x)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 #s(literal 1 binary64) (/.f64 y x)))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 #s(literal 1 binary64) (/.f64 y x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ x (+ 1 y)) (/.f64 #s(literal 1 binary64) (/.f64 y x))) (patch #s(approx (/ x (+ 1 y)) (/.f64 #s(literal 1 binary64) (/.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ x (+ 1 y)) (/.f64 #s(literal 1 binary64) (/.f64 y x))) (patch #s(approx (/ x (+ 1 y)) (/.f64 #s(literal 1 binary64) (/.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ x (+ 1 y)) (/.f64 #s(literal 1 binary64) (/.f64 y x))) (patch #s(approx (/ x (+ 1 y)) (/.f64 #s(literal 1 binary64) (/.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ x (+ 1 y)) (/.f64 #s(literal 1 binary64) (/.f64 y x))) (patch #s(approx (/ x (+ 1 y)) (/.f64 #s(literal 1 binary64) (/.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | ((/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (- 1 x) (/ (+ x y) (+ y 1)) (/ x (+ 1 y)) (* (- 1 y) x) (- 1 y) (/ (+ x y) (+ y 1)) (/ y (+ 1 y)) (+ (* (neg y) y) y) (neg y) (/ (+ x y) (+ y 1)) (- 1 (/ (- 1 x) y)) (/ (- 1 x) y) (- 1 x) (/ 1 (/ y x)) (/ (+ x y) (+ y 1)) (/ x (+ 1 y)) (/ y x) (neg x)) |
| 2.0ms | y | @ | -inf | ((/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (- 1 x) (/ (+ x y) (+ y 1)) (/ x (+ 1 y)) (* (- 1 y) x) (- 1 y) (/ (+ x y) (+ y 1)) (/ y (+ 1 y)) (+ (* (neg y) y) y) (neg y) (/ (+ x y) (+ y 1)) (- 1 (/ (- 1 x) y)) (/ (- 1 x) y) (- 1 x) (/ 1 (/ y x)) (/ (+ x y) (+ y 1)) (/ x (+ 1 y)) (/ y x) (neg x)) |
| 2.0ms | x | @ | inf | ((/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (- 1 x) (/ (+ x y) (+ y 1)) (/ x (+ 1 y)) (* (- 1 y) x) (- 1 y) (/ (+ x y) (+ y 1)) (/ y (+ 1 y)) (+ (* (neg y) y) y) (neg y) (/ (+ x y) (+ y 1)) (- 1 (/ (- 1 x) y)) (/ (- 1 x) y) (- 1 x) (/ 1 (/ y x)) (/ (+ x y) (+ y 1)) (/ x (+ 1 y)) (/ y x) (neg x)) |
| 1.0ms | y | @ | inf | ((/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (- 1 x) (/ (+ x y) (+ y 1)) (/ x (+ 1 y)) (* (- 1 y) x) (- 1 y) (/ (+ x y) (+ y 1)) (/ y (+ 1 y)) (+ (* (neg y) y) y) (neg y) (/ (+ x y) (+ y 1)) (- 1 (/ (- 1 x) y)) (/ (- 1 x) y) (- 1 x) (/ 1 (/ y x)) (/ (+ x y) (+ y 1)) (/ x (+ 1 y)) (/ y x) (neg x)) |
| 1.0ms | y | @ | 0 | ((/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (- 1 x) (/ (+ x y) (+ y 1)) (/ x (+ 1 y)) (* (- 1 y) x) (- 1 y) (/ (+ x y) (+ y 1)) (/ y (+ 1 y)) (+ (* (neg y) y) y) (neg y) (/ (+ x y) (+ y 1)) (- 1 (/ (- 1 x) y)) (/ (- 1 x) y) (- 1 x) (/ 1 (/ y x)) (/ (+ x y) (+ y 1)) (/ x (+ 1 y)) (/ y x) (neg x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 191 | 2695 |
| 1 | 573 | 2604 |
| 2 | 1435 | 2522 |
| 3 | 5074 | 2472 |
| 0 | 8639 | 2410 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(+ x (* y (- 1 x))) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
x |
(+ x (* y (- 1 x))) |
(+ x (* y (- 1 x))) |
(+ x (* y (- 1 x))) |
x |
(+ x (* y (- 1 x))) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
x |
(+ x (* -1 (* x y))) |
(+ x (* y (- (* x y) x))) |
(+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))) |
x |
(+ x (* -1 (* x y))) |
(+ x (* -1 (* x y))) |
(+ x (* -1 (* x y))) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
x |
(+ x (* y (- 1 x))) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
y |
(* y (+ 1 (* -1 y))) |
(* y (+ 1 (* y (- y 1)))) |
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))) |
y |
(* y (+ 1 (* -1 y))) |
(* y (+ 1 (* -1 y))) |
(* y (+ 1 (* -1 y))) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
x |
(+ x (* y (- 1 x))) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
(/ (- x 1) y) |
(/ (- (+ x y) 1) y) |
(/ (- (+ x y) 1) y) |
(/ (- (+ x y) 1) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
x |
(+ x (* y (- 1 x))) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
x |
(+ x (* -1 (* x y))) |
(+ x (* y (- (* x y) x))) |
(+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
1 |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))) |
(* y (- 1 x)) |
(* y (- (+ 1 (/ x y)) x)) |
(* y (- (+ 1 (/ x y)) x)) |
(* y (- (+ 1 (/ x y)) x)) |
1 |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))) |
(/ x y) |
(/ (+ x (* -1 (/ x y))) y) |
(/ (- (+ x (/ x (pow y 2))) (/ x y)) y) |
(/ (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) y) |
(* -1 (* x y)) |
(* y (+ (* -1 x) (/ x y))) |
(* y (+ (* -1 x) (/ x y))) |
(* y (+ (* -1 x) (/ x y))) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
1 |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 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)))) |
(* -1 (pow y 2)) |
(* (pow y 2) (- (/ 1 y) 1)) |
(* (pow y 2) (- (/ 1 y) 1)) |
(* (pow y 2) (- (/ 1 y) 1)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
1 |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))) |
1 |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
1 |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))) |
(/ x y) |
(/ (+ x (* -1 (/ x y))) y) |
(/ (- (+ x (/ x (pow y 2))) (/ x y)) y) |
(/ (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) y) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
1 |
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y))) |
(* y (- 1 x)) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y))))) |
1 |
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y))) |
(/ x y) |
(* -1 (/ (+ (* -1 x) (/ x y)) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x y) x) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x y) x) y)) x) y))) y)) |
(* -1 (* x y)) |
(* -1 (* y (+ x (* -1 (/ x y))))) |
(* -1 (* y (+ x (* -1 (/ x y))))) |
(* -1 (* y (+ x (* -1 (/ x y))))) |
(* -1 y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
1 |
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y))) |
1 |
(- 1 (/ 1 y)) |
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y))) |
(* -1 (pow y 2)) |
(* (pow y 2) (- (/ 1 y) 1)) |
(* (pow y 2) (- (/ 1 y) 1)) |
(* (pow y 2) (- (/ 1 y) 1)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
1 |
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y))) |
1 |
(+ 1 (* -1 (/ (- 1 x) y))) |
(+ 1 (* -1 (/ (- 1 x) y))) |
(+ 1 (* -1 (/ (- 1 x) y))) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
1 |
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y))) |
(/ x y) |
(* -1 (/ (+ (* -1 x) (/ x y)) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x y) x) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x y) x) y)) x) y))) y)) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y (+ 1 y)) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
y |
(+ y (* x (+ 1 (* -1 y)))) |
(+ y (* x (+ 1 (* -1 y)))) |
(+ y (* x (+ 1 (* -1 y)))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(/ y (+ 1 y)) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(/ y (+ 1 y)) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(/ y (+ 1 y)) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(- 1 (/ 1 y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(/ 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 y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ y (+ 1 y)) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ x (+ 1 y)) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* x (+ 1 (* -1 y))) |
(* x (+ 1 (+ (* -1 y) (/ y x)))) |
(* x (+ 1 (+ (* -1 y) (/ y x)))) |
(* x (+ 1 (+ (* -1 y) (/ y x)))) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(/ x (+ 1 y)) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(/ x (+ 1 y)) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(/ x (+ 1 y)) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(/ x y) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(* -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 y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x (+ 1 y)) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ x (+ 1 y)) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- y 1))) |
(* -1 (* x (- (+ y (* -1 (/ y x))) 1))) |
(* -1 (* x (- (+ y (* -1 (/ y x))) 1))) |
(* -1 (* x (- (+ y (* -1 (/ y x))) 1))) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(/ x (+ 1 y)) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(/ x (+ 1 y)) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(/ x (+ 1 y)) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(/ x y) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(* -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)))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x (+ 1 y)) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
| Outputs |
|---|
x |
(+ x (* y (- 1 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) y x) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
(fma.f64 (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y)) y (-.f64 #s(literal 1 binary64) x)) y x) |
x |
(+ x (* y (- 1 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(+ x (* y (- 1 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(+ x (* y (- 1 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
x |
(+ x (* y (- 1 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) y x) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
(fma.f64 (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y)) y (-.f64 #s(literal 1 binary64) x)) y x) |
x |
(+ x (* -1 (* x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(+ x (* y (- (* x y) x))) |
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) y x) |
(+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))) |
(fma.f64 (*.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64))) y x) |
x |
(+ x (* -1 (* x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(+ x (* -1 (* x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(+ x (* -1 (* x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
x |
(+ x (* y (- 1 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) y x) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
(fma.f64 (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y)) y (-.f64 #s(literal 1 binary64) x)) y x) |
y |
(* y (+ 1 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) y) |
(* y (+ 1 (* y (- y 1)))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y) |
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) y #s(literal 1 binary64)) y) |
y |
(* y (+ 1 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) y) |
(* y (+ 1 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) y) |
(* y (+ 1 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
x |
(+ x (* y (- 1 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) y x) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
(fma.f64 (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y)) y (-.f64 #s(literal 1 binary64) x)) y x) |
(/ (- x 1) y) |
(/.f64 (-.f64 x #s(literal 1 binary64)) y) |
(/ (- (+ x y) 1) y) |
(/.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) y) |
(/ (- (+ x y) 1) y) |
(/.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) y) |
(/ (- (+ x y) 1) y) |
(/.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
x |
(+ x (* y (- 1 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) y x) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
(fma.f64 (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y)) y (-.f64 #s(literal 1 binary64) x)) y x) |
x |
(+ x (* -1 (* x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(+ x (* y (- (* x y) x))) |
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) y x) |
(+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))) |
(fma.f64 (*.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64))) y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(/.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) y) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))) |
(+.f64 (-.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 x y))) (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64)) y) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* y (- (+ 1 (/ x y)) x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* y (- (+ 1 (/ x y)) x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* y (- (+ 1 (/ x y)) x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(/.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) y) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))) |
(+.f64 (-.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 x y))) (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64)) y) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) |
(/ x y) |
(/.f64 x y) |
(/ (+ x (* -1 (/ x y))) y) |
(/.f64 (-.f64 x (/.f64 x y)) y) |
(/ (- (+ x (/ x (pow y 2))) (/ x y)) y) |
(/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x y)) y)) y) |
(/ (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) y) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 x (/.f64 x y)) y) x) y) x) y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* y (+ (* -1 x) (/ x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* y (+ (* -1 x) (/ x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* y (+ (* -1 x) (/ x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(/.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) y) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))) |
(+.f64 (-.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 x y))) (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64)) y) (/.f64 #s(literal 1 binary64) (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 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) |
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) |
(-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y) y) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) |
(* -1 (pow y 2)) |
(*.f64 (neg.f64 y) y) |
(* (pow y 2) (- (/ 1 y) 1)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) y) |
(* (pow y 2) (- (/ 1 y) 1)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) y) |
(* (pow y 2) (- (/ 1 y) 1)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(/.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) y) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))) |
(+.f64 (-.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 x y))) (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64)) y) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(/.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) y) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(/.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) y) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(/.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) 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 (/ x y)) (/ 1 y)) |
(/.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) y) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))) |
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(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(-.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(-.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(-.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(* -1 (* x (- y 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* -1 (* x (- (+ y (* -1 (/ y x))) 1))) |
(fma.f64 (-.f64 (/.f64 y x) y) x x) |
(* -1 (* x (- (+ y (* -1 (/ y x))) 1))) |
(fma.f64 (-.f64 (/.f64 y x) y) x x) |
(* -1 (* x (- (+ y (* -1 (/ y x))) 1))) |
(fma.f64 (-.f64 (/.f64 y 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 (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(-.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(-.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(-.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(* x (- 1 y)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* x (- 1 y)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* x (- 1 y)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* x (- 1 y)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(-.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(-.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(-.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(-.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(-.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(-.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(/ x y) |
(/.f64 x y) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(/.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) y) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(/.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) y) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(/.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) y) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(/.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) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(-.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(-.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(-.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 186 |
| 0 | 42 | 186 |
| 1 | 175 | 180 |
| 2 | 1266 | 180 |
| 0 | 8743 | 180 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
(fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) |
#s(approx (- 1 x) #s(literal 1 binary64)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))) |
#s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(-.f64 #s(literal 1 binary64) y) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (fma.f64 (neg.f64 y) y y))) |
#s(approx (/ y (+ 1 y)) (fma.f64 (neg.f64 y) y y)) |
(fma.f64 (neg.f64 y) y y) |
(neg.f64 y) |
#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y)) |
(/.f64 #s(approx (- 1 x) (neg.f64 x)) y) |
#s(approx (- 1 x) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 y x)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 #s(literal 1 binary64) (/.f64 y x)))) |
#s(approx (/ x (+ 1 y)) (/.f64 #s(literal 1 binary64) (/.f64 y x))) |
(/.f64 y x) |
(neg.f64 x) |
| Outputs |
|---|
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Compiled 9 911 to 1 714 computations (82.7% saved)
16 alts after pruning (4 fresh and 12 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 747 | 2 | 749 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 7 | 7 |
| Total | 747 | 16 | 763 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| 34.1% | (*.f64 #s(approx (/ (+ y x) (+ (* y y) -1)) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 y #s(literal 1 binary64))) | |
| 46.8% | (*.f64 #s(approx (/ (+ y x) (+ (* y y) -1)) (/.f64 x (fma.f64 y y #s(literal -1 binary64)))) (-.f64 y #s(literal 1 binary64))) | |
| ✓ | 53.3% | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
| ✓ | 39.8% | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) y x)) |
| ✓ | 52.4% | #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
| ✓ | 49.5% | #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
| ✓ | 47.0% | #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))) |
| ✓ | 16.4% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (fma.f64 (neg.f64 y) y y))) |
| 2.6% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) #s(approx (+ (* (neg y) y) y) (*.f64 (neg.f64 y) y)))) | |
| ✓ | 39.7% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x))) |
| ✓ | 11.8% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) |
| ✓ | 11.7% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 #s(literal 1 binary64) (/.f64 y x)))) |
| ✓ | 39.7% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))) |
| 39.4% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) | |
| ✓ | 37.6% | #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) |
Compiled 302 to 191 computations (36.8% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) #s(approx (+ (* (neg y) y) y) (*.f64 (neg.f64 y) y)))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (fma.f64 (neg.f64 y) y y))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
(*.f64 #s(approx (/ (+ y x) (+ (* y y) -1)) (neg.f64 x)) (-.f64 y #s(literal 1 binary64))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) |
(*.f64 #s(approx (/ (+ y x) (+ (* y y) -1)) (-.f64 (neg.f64 y) x)) (-.f64 y #s(literal 1 binary64))) |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))) |
#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 y #s(literal 1 binary64)) x)) |
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) y x)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 #s(literal 1 binary64) (/.f64 y x)))) |
(*.f64 #s(approx (/ (+ y x) (+ (* y y) -1)) (/.f64 x (fma.f64 y y #s(literal -1 binary64)))) (-.f64 y #s(literal 1 binary64))) |
(*.f64 #s(approx (/ (+ y x) (+ (* y y) -1)) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 y #s(literal 1 binary64))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x)) |
(*.f64 (/.f64 (+.f64 y x) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64))) |
| Outputs |
|---|
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
3 calls:
| 18.0ms | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| 7.0ms | x |
| 7.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
Compiled 9 to 10 computations (-11.1% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) #s(approx (+ (* (neg y) y) y) (*.f64 (neg.f64 y) y)))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (fma.f64 (neg.f64 y) y y))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
(*.f64 #s(approx (/ (+ y x) (+ (* y y) -1)) (neg.f64 x)) (-.f64 y #s(literal 1 binary64))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) |
(*.f64 #s(approx (/ (+ y x) (+ (* y y) -1)) (-.f64 (neg.f64 y) x)) (-.f64 y #s(literal 1 binary64))) |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))) |
#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 y #s(literal 1 binary64)) x)) |
| Outputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 y #s(literal 1 binary64)) x)) |
#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
3 calls:
| 15.0ms | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| 5.0ms | x |
| 5.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.1% | 3 | x |
| 98.3% | 3 | y |
| 99.0% | 4 | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
Compiled 9 to 10 computations (-11.1% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) #s(approx (+ (* (neg y) y) y) (*.f64 (neg.f64 y) y)))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (fma.f64 (neg.f64 y) y y))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
(*.f64 #s(approx (/ (+ y x) (+ (* y y) -1)) (neg.f64 x)) (-.f64 y #s(literal 1 binary64))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) |
(*.f64 #s(approx (/ (+ y x) (+ (* y y) -1)) (-.f64 (neg.f64 y) x)) (-.f64 y #s(literal 1 binary64))) |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))) |
#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
| Outputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(*.f64 #s(approx (/ (+ y x) (+ (* y y) -1)) (-.f64 (neg.f64 y) x)) (-.f64 y #s(literal 1 binary64))) |
#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
1 calls:
| 5.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.0% | 3 | y |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) #s(approx (+ (* (neg y) y) y) (*.f64 (neg.f64 y) y)))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (fma.f64 (neg.f64 y) y y))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
(*.f64 #s(approx (/ (+ y x) (+ (* y y) -1)) (neg.f64 x)) (-.f64 y #s(literal 1 binary64))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) |
(*.f64 #s(approx (/ (+ y x) (+ (* y y) -1)) (-.f64 (neg.f64 y) x)) (-.f64 y #s(literal 1 binary64))) |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))) |
| Outputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))) |
(*.f64 #s(approx (/ (+ y x) (+ (* y y) -1)) (-.f64 (neg.f64 y) x)) (-.f64 y #s(literal 1 binary64))) |
#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))) |
1 calls:
| 18.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.8% | 3 | y |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) #s(approx (+ (* (neg y) y) y) (*.f64 (neg.f64 y) y)))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (fma.f64 (neg.f64 y) y y))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
(*.f64 #s(approx (/ (+ y x) (+ (* y y) -1)) (neg.f64 x)) (-.f64 y #s(literal 1 binary64))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) |
(*.f64 #s(approx (/ (+ y x) (+ (* y y) -1)) (-.f64 (neg.f64 y) x)) (-.f64 y #s(literal 1 binary64))) |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
| Outputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(approx (/ (+ y x) (+ (* y y) -1)) (-.f64 (neg.f64 y) x)) (-.f64 y #s(literal 1 binary64))) |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
2 calls:
| 4.0ms | y |
| 4.0ms | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 4 | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| 89.0% | 3 | y |
Compiled 8 to 8 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) #s(approx (+ (* (neg y) y) y) (*.f64 (neg.f64 y) y)))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (fma.f64 (neg.f64 y) y y))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
(*.f64 #s(approx (/ (+ y x) (+ (* y y) -1)) (neg.f64 x)) (-.f64 y #s(literal 1 binary64))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) |
(*.f64 #s(approx (/ (+ y x) (+ (* y y) -1)) (-.f64 (neg.f64 y) x)) (-.f64 y #s(literal 1 binary64))) |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
| Outputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(approx (/ (+ y x) (+ (* y y) -1)) (-.f64 (neg.f64 y) x)) (-.f64 y #s(literal 1 binary64))) |
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
1 calls:
| 4.0ms | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.9% | 4 | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
Compiled 7 to 6 computations (14.3% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) #s(approx (+ (* (neg y) y) y) (*.f64 (neg.f64 y) y)))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (fma.f64 (neg.f64 y) y y))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
(*.f64 #s(approx (/ (+ y x) (+ (* y y) -1)) (neg.f64 x)) (-.f64 y #s(literal 1 binary64))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) |
(*.f64 #s(approx (/ (+ y x) (+ (* y y) -1)) (-.f64 (neg.f64 y) x)) (-.f64 y #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) |
(*.f64 #s(approx (/ (+ y x) (+ (* y y) -1)) (-.f64 (neg.f64 y) x)) (-.f64 y #s(literal 1 binary64))) |
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) |
2 calls:
| 4.0ms | y |
| 4.0ms | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.4% | 3 | y |
| 88.1% | 3 | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
Compiled 8 to 8 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) #s(approx (+ (* (neg y) y) y) (*.f64 (neg.f64 y) y)))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (fma.f64 (neg.f64 y) y y))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
(*.f64 #s(approx (/ (+ y x) (+ (* y y) -1)) (neg.f64 x)) (-.f64 y #s(literal 1 binary64))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) |
| Outputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) |
1 calls:
| 4.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.2% | 3 | y |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) #s(approx (+ (* (neg y) y) y) (*.f64 (neg.f64 y) y)))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (fma.f64 (neg.f64 y) y y))) |
| Outputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) |
2 calls:
| 3.0ms | y |
| 3.0ms | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.6% | 3 | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| 87.6% | 3 | y |
Compiled 8 to 8 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) |
| Outputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) |
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) |
3 calls:
| 2.0ms | x |
| 2.0ms | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.0% | 3 | x |
| 73.5% | 3 | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| 73.5% | 3 | y |
Compiled 9 to 10 computations (-11.1% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) |
3 calls:
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 37.6% | 1 | x |
| 37.6% | 1 | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| 37.6% | 1 | y |
Compiled 9 to 10 computations (-11.1% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 60.0ms | 0.6131158094572586 | 132790082.20565462 |
| 66.0ms | -18.466497572539133 | -0.02287607550203407 |
| 60.0ms | 272× | 0 | valid |
Compiled 333 to 300 computations (9.9% saved)
ival-add: 3.0ms (57.1% of total)ival-div: 2.0ms (38.1% 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 |
|---|---|---|
| 1.0ms | 0.6131158094572586 | 132790082.20565462 |
| 1.0ms | -18.466497572539133 | -0.02287607550203407 |
Compiled 299 to 300 computations (-0.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 4.0ms | 0.6131158094572586 | 132790082.20565462 |
| 1.0ms | -18.466497572539133 | -0.02287607550203407 |
| 2.0ms | 48× | 0 | valid |
Compiled 299 to 317 computations (-6% saved)
ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0572524626558333 | 3.253006723609254 |
| 0.0ms | 8.592050305882322e-6 | 0.9862816510301676 |
| 0.0ms | -12.943672595660933 | -0.0037827773813330755 |
Compiled 10 to 11 computations (-10% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0572524626558333 | 3.253006723609254 |
| 0.0ms | 8.592050305882322e-6 | 0.9862816510301676 |
| 0.0ms | -12.943672595660933 | -0.0037827773813330755 |
Compiled 10 to 11 computations (-10% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.6131158094572586 | 132790082.20565462 |
| 1.0ms | -18.466497572539133 | -0.02287607550203407 |
Compiled 197 to 249 computations (-26.4% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.6131158094572586 | 132790082.20565462 |
| 1.0ms | -18.466497572539133 | -0.02287607550203407 |
Compiled 163 to 215 computations (-31.9% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 70.0ms | 132790082.20565462 | 532375404675.64703 |
| 1.0ms | -18.466497572539133 | -0.02287607550203407 |
| 65.0ms | 128× | 0 | valid |
Compiled 138 to 203 computations (-47.1% saved)
ival-div: 61.0ms (97.7% of total)ival-add: 1.0ms (1.6% 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 |
|---|---|---|
| 1.0ms | 132790082.20565462 | 532375404675.64703 |
| 1.0ms | -18.466497572539133 | -0.02287607550203407 |
Compiled 138 to 219 computations (-58.7% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 83 | 533 |
| 1 | 104 | 533 |
| 2 | 127 | 533 |
| 3 | 150 | 533 |
| 4 | 170 | 533 |
| 5 | 208 | 533 |
| 6 | 241 | 533 |
| 7 | 300 | 533 |
| 8 | 372 | 533 |
| 9 | 417 | 533 |
| 10 | 462 | 533 |
| 11 | 518 | 533 |
| 12 | 564 | 533 |
| 13 | 582 | 533 |
| 14 | 584 | 533 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 y #s(literal 1 binary64)) x)) #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (if (<=.f64 y #s(literal 1 binary64)) (*.f64 #s(approx (/ (+ y x) (+ (* y y) -1)) (-.f64 (neg.f64 y) x)) (-.f64 y #s(literal 1 binary64))) #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))) (if (<=.f64 y #s(literal 3/4 binary64)) (*.f64 #s(approx (/ (+ y x) (+ (* y y) -1)) (-.f64 (neg.f64 y) x)) (-.f64 y #s(literal 1 binary64))) #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))))) |
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal -10 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 5902958103587057/590295810358705651712 binary64)) (*.f64 #s(approx (/ (+ y x) (+ (* y y) -1)) (-.f64 (neg.f64 y) x)) (-.f64 y #s(literal 1 binary64))) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))))) |
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal -10 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 5902958103587057/590295810358705651712 binary64)) (*.f64 #s(approx (/ (+ y x) (+ (* y y) -1)) (-.f64 (neg.f64 y) x)) (-.f64 y #s(literal 1 binary64))) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 1 binary64)) (*.f64 #s(approx (/ (+ y x) (+ (* y y) -1)) (-.f64 (neg.f64 y) x)) (-.f64 y #s(literal 1 binary64))) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 135000000 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 135000000 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)))) |
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) |
| Outputs |
|---|
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
(/.f64 (+.f64 y x) (-.f64 y #s(literal -1 binary64))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 y #s(literal 1 binary64)) x)) #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (if (<=.f64 y #s(literal 1 binary64)) (*.f64 #s(approx (/ (+ y x) (+ (* y y) -1)) (-.f64 (neg.f64 y) x)) (-.f64 y #s(literal 1 binary64))) #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))) (if (<=.f64 y #s(literal 3/4 binary64)) (*.f64 #s(approx (/ (+ y x) (+ (* y y) -1)) (-.f64 (neg.f64 y) x)) (-.f64 y #s(literal 1 binary64))) #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))))) |
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal -10 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 5902958103587057/590295810358705651712 binary64)) (*.f64 #s(approx (/ (+ y x) (+ (* y y) -1)) (-.f64 (neg.f64 y) x)) (-.f64 y #s(literal 1 binary64))) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))))) |
(if (<=.f64 (/.f64 (+.f64 y x) (-.f64 y #s(literal -1 binary64))) #s(literal -10 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64)))) (if (<=.f64 (/.f64 (+.f64 y x) (-.f64 y #s(literal -1 binary64))) #s(literal 5902958103587057/590295810358705651712 binary64)) (*.f64 #s(approx (/ (+ y x) (+ (* y y) -1)) (-.f64 (neg.f64 y) x)) (-.f64 y #s(literal 1 binary64))) (if (<=.f64 (/.f64 (+.f64 y x) (-.f64 y #s(literal -1 binary64))) #s(literal 2 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (-.f64 y #s(literal -1 binary64)))) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64))))))) |
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal -10 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 5902958103587057/590295810358705651712 binary64)) (*.f64 #s(approx (/ (+ y x) (+ (* y y) -1)) (-.f64 (neg.f64 y) x)) (-.f64 y #s(literal 1 binary64))) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))))) |
(if (<=.f64 (/.f64 (+.f64 y x) (-.f64 y #s(literal -1 binary64))) #s(literal -10 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64)))) (if (<=.f64 (/.f64 (+.f64 y x) (-.f64 y #s(literal -1 binary64))) #s(literal 5902958103587057/590295810358705651712 binary64)) (*.f64 #s(approx (/ (+ y x) (+ (* y y) -1)) (-.f64 (neg.f64 y) x)) (-.f64 y #s(literal 1 binary64))) (if (<=.f64 (/.f64 (+.f64 y x) (-.f64 y #s(literal -1 binary64))) #s(literal 2 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64))))))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 1 binary64)) (*.f64 #s(approx (/ (+ y x) (+ (* y y) -1)) (-.f64 (neg.f64 y) x)) (-.f64 y #s(literal 1 binary64))) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 135000000 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 135000000 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)))) |
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 348 | 3784 |
| 1 | 1073 | 3502 |
| 2 | 3304 | 3216 |
| 0 | 8251 | 3064 |
| 0 | 191 | 2695 |
| 1 | 573 | 2604 |
| 2 | 1435 | 2522 |
| 3 | 5074 | 2472 |
| 0 | 8639 | 2410 |
| 0 | 6 | 13 |
| 0 | 9 | 13 |
| 1 | 43 | 13 |
| 2 | 307 | 13 |
| 3 | 3741 | 13 |
| 0 | 9904 | 13 |
| 0 | 262 | 3498 |
| 1 | 853 | 3335 |
| 2 | 2537 | 2993 |
| 0 | 8195 | 2844 |
| 0 | 33 | 198 |
| 0 | 48 | 198 |
| 1 | 206 | 198 |
| 2 | 1634 | 198 |
| 0 | 8309 | 195 |
| 0 | 88 | 362 |
| 1 | 263 | 358 |
| 2 | 670 | 338 |
| 3 | 2442 | 308 |
| 0 | 8192 | 300 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 507 to 255 computations (49.7% saved)
Compiled 606 to 154 computations (74.6% saved)
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