
Time bar (total: 7.4s)
| 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)
| 871.0ms | 8 254× | 0 | valid |
| 0.0ms | 2× | 2 | valid |
ival-add: 222.0ms (52.7% of total)ival-div: 183.0ms (43.4% of total)ival-true: 7.0ms (1.7% of total)exact: 5.0ms (1.2% of total)ival-assert: 4.0ms (0.9% 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 |
| 25.0ms | 512× | 0 | valid |
Compiled 43 to 22 computations (48.8% saved)
ival-div: 5.0ms (42.4% of total)ival-add: 5.0ms (42.4% 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 | 0.01171875 | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| 11.0ms | 256× | 0 | valid |
Compiled 18 to 8 computations (55.6% saved)
ival-add: 3.0ms (62.4% of total)ival-div: 2.0ms (41.6% 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 | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((/ (+ x y) (+ y 1)) (+ x y) (+ y 1)) |
| 1.0ms | y | @ | inf | ((/ (+ x y) (+ y 1)) (+ x y) (+ y 1)) |
| 1.0ms | x | @ | inf | ((/ (+ x y) (+ y 1)) (+ x y) (+ y 1)) |
| 1.0ms | y | @ | -inf | ((/ (+ x y) (+ y 1)) (+ x y) (+ y 1)) |
| 0.0ms | x | @ | 0 | ((/ (+ 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)
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 515 | 7 | 522 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 515 | 8 | 523 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 69.9% | (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 #s(literal -1 binary64) y) (neg.f64 (+.f64 y x)))) (*.f64 (-.f64 #s(literal -1 binary64) y) (+.f64 #s(literal 1 binary64) y))) |
| ✓ | 100.0% | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| 52.8% | #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)) | |
| ▶ | 52.8% | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
| ▶ | 51.2% | #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
| ▶ | 49.0% | #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
| 48.6% | #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) | |
| ▶ | 38.5% | #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) |
Compiled 141 to 110 computations (22% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | (/.f64 y (+.f64 #s(literal 1 binary64) y)) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) 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 | (-.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)) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) | |
| cost-diff | 128 | (*.f64 (-.f64 #s(literal -1 binary64) y) (neg.f64 (+.f64 y x))) | |
| cost-diff | 192 | (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 #s(literal -1 binary64) y) (neg.f64 (+.f64 y x)))) | |
| cost-diff | 512 | (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) y)) | |
| cost-diff | 896 | (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 #s(literal -1 binary64) y) (neg.f64 (+.f64 y x)))) (*.f64 (-.f64 #s(literal -1 binary64) y) (+.f64 #s(literal 1 binary64) y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 157 |
| 0 | 39 | 145 |
| 1 | 81 | 139 |
| 2 | 204 | 130 |
| 3 | 965 | 130 |
| 4 | 2935 | 130 |
| 5 | 6927 | 130 |
| 0 | 8032 | 129 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 #s(literal -1 binary64) y) (neg.f64 (+.f64 y x)))) (*.f64 (-.f64 #s(literal -1 binary64) y) (+.f64 #s(literal 1 binary64) y))) |
(-.f64 (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 #s(literal -1 binary64) y) (neg.f64 (+.f64 y x)))) |
(*.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) y)) |
#s(literal 0 binary64) |
(+.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(*.f64 (-.f64 #s(literal -1 binary64) y) (neg.f64 (+.f64 y x))) |
(-.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
(neg.f64 (+.f64 y x)) |
(+.f64 y x) |
x |
(*.f64 (-.f64 #s(literal -1 binary64) y) (+.f64 #s(literal 1 binary64) y)) |
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#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)) (/.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 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) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 #s(literal -1 binary64) y) (neg.f64 (+.f64 y x)))) (*.f64 (-.f64 #s(literal -1 binary64) y) (+.f64 #s(literal 1 binary64) y))) |
(/.f64 (+.f64 x y) (-.f64 y #s(literal -1 binary64))) |
(-.f64 (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 #s(literal -1 binary64) y) (neg.f64 (+.f64 y x)))) |
(*.f64 (+.f64 x y) (-.f64 #s(literal -1 binary64) y)) |
(*.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) y)) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
(+.f64 #s(literal 1 binary64) y) |
(-.f64 y #s(literal -1 binary64)) |
#s(literal 1 binary64) |
y |
(*.f64 (-.f64 #s(literal -1 binary64) y) (neg.f64 (+.f64 y x))) |
(*.f64 (+.f64 x y) (-.f64 y #s(literal -1 binary64))) |
(-.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
(neg.f64 (+.f64 y x)) |
(neg.f64 (+.f64 x y)) |
(+.f64 y x) |
(+.f64 x y) |
x |
(*.f64 (-.f64 #s(literal -1 binary64) y) (+.f64 #s(literal 1 binary64) y)) |
(fma.f64 (-.f64 #s(literal -2 binary64) y) y #s(literal -1 binary64)) |
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#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)) (/.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 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) |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.0078125 | (/.f64 y (+.f64 #s(literal 1 binary64) y)) | |
| accuracy | 31.214832167930997 | #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) | |
| accuracy | 0 | (+.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.00390625 | (/.f64 x (+.f64 #s(literal 1 binary64) y)) | |
| accuracy | 32.638547179093024 | #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.0078125 | (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) | |
| accuracy | 30.227779909268783 | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) | |
| accuracy | 39.36358030178957 | #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) | |
| accuracy | 0 | (neg.f64 (+.f64 y x)) | |
| accuracy | 0.00390625 | (*.f64 (-.f64 #s(literal -1 binary64) y) (+.f64 #s(literal 1 binary64) y)) | |
| accuracy | 0.0078125 | (*.f64 (-.f64 #s(literal -1 binary64) y) (neg.f64 (+.f64 y x))) | |
| accuracy | 18.715563306710408 | (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 #s(literal -1 binary64) y) (neg.f64 (+.f64 y x)))) (*.f64 (-.f64 #s(literal -1 binary64) y) (+.f64 #s(literal 1 binary64) y))) |
| 43.0ms | 256× | 0 | valid |
Compiled 139 to 24 computations (82.7% saved)
ival-add: 8.0ms (27.8% of total)ival-sub: 7.0ms (24.3% of total)ival-div: 6.0ms (20.9% of total)ival-mult: 5.0ms (17.4% of total)ival-neg: 1.0ms (3.5% 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 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 #s(literal -1 binary64) y) (neg.f64 (+.f64 y x)))) (*.f64 (-.f64 #s(literal -1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (patch (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 #s(literal -1 binary64) y) (neg.f64 (+.f64 y x)))) (*.f64 (-.f64 #s(literal -1 binary64) y) (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) y)) (patch (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 #s(literal -1 binary64) y) (neg.f64 (+.f64 y x)))) (patch (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 #s(literal -1 binary64) y) (neg.f64 (+.f64 y x)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 #s(literal -1 binary64) y) (neg.f64 (+.f64 y x))) (patch (*.f64 (-.f64 #s(literal -1 binary64) y) (neg.f64 (+.f64 y x))) #<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)) (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)) (/.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 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 (-.f64 #s(literal -1 binary64) y) (+.f64 #s(literal 1 binary64) y)) (patch (*.f64 (-.f64 #s(literal -1 binary64) y) (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ()) |
#s(alt (neg.f64 (+.f64 y x)) (patch (neg.f64 (+.f64 y x)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 y) (#s(alt (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 #s(literal -1 binary64) y) (neg.f64 (+.f64 y x)))) (*.f64 (-.f64 #s(literal -1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (patch (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 #s(literal -1 binary64) y) (neg.f64 (+.f64 y x)))) (*.f64 (-.f64 #s(literal -1 binary64) y) (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 #s(literal -1 binary64) y) (neg.f64 (+.f64 y x)))) (*.f64 (-.f64 #s(literal -1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (patch (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 #s(literal -1 binary64) y) (neg.f64 (+.f64 y x)))) (*.f64 (-.f64 #s(literal -1 binary64) y) (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (+ 1 (* y (- x 1))) x))) (taylor 0 y) (#s(alt (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 #s(literal -1 binary64) y) (neg.f64 (+.f64 y x)))) (*.f64 (-.f64 #s(literal -1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (patch (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 #s(literal -1 binary64) y) (neg.f64 (+.f64 y x)))) (*.f64 (-.f64 #s(literal -1 binary64) y) (+.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 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 #s(literal -1 binary64) y) (neg.f64 (+.f64 y x)))) (*.f64 (-.f64 #s(literal -1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (patch (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 #s(literal -1 binary64) y) (neg.f64 (+.f64 y x)))) (*.f64 (-.f64 #s(literal -1 binary64) y) (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt 0 (taylor 0 y) (#s(alt (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) y)) (patch (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt 0 (taylor 0 y) (#s(alt (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) y)) (patch (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt 0 (taylor 0 y) (#s(alt (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) y)) (patch (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt 0 (taylor 0 y) (#s(alt (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) y)) (patch (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 y) (#s(alt (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 #s(literal -1 binary64) y) (neg.f64 (+.f64 y x)))) (patch (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 #s(literal -1 binary64) y) (neg.f64 (+.f64 y x)))) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (* y (+ 1 x))) x) (taylor 0 y) (#s(alt (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 #s(literal -1 binary64) y) (neg.f64 (+.f64 y x)))) (patch (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 #s(literal -1 binary64) y) (neg.f64 (+.f64 y x)))) #<representation binary64>) () ())) ()) |
#s(alt (- (* y (- (* -1 y) (+ 1 x))) x) (taylor 0 y) (#s(alt (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 #s(literal -1 binary64) y) (neg.f64 (+.f64 y x)))) (patch (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 #s(literal -1 binary64) y) (neg.f64 (+.f64 y x)))) #<representation binary64>) () ())) ()) |
#s(alt (- (* y (- (* -1 y) (+ 1 x))) x) (taylor 0 y) (#s(alt (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 #s(literal -1 binary64) y) (neg.f64 (+.f64 y x)))) (patch (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 #s(literal -1 binary64) y) (neg.f64 (+.f64 y x)))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal -1 binary64) y) (neg.f64 (+.f64 y x))) (patch (*.f64 (-.f64 #s(literal -1 binary64) y) (neg.f64 (+.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (+ 1 x))) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal -1 binary64) y) (neg.f64 (+.f64 y x))) (patch (*.f64 (-.f64 #s(literal -1 binary64) y) (neg.f64 (+.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (+ 1 (+ x y)))) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal -1 binary64) y) (neg.f64 (+.f64 y x))) (patch (*.f64 (-.f64 #s(literal -1 binary64) y) (neg.f64 (+.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (+ 1 (+ x y)))) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal -1 binary64) y) (neg.f64 (+.f64 y x))) (patch (*.f64 (-.f64 #s(literal -1 binary64) y) (neg.f64 (+.f64 y x))) #<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)) (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)) (/.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 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 (* y (- 1 x))) (taylor 0 y) (#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 (* y (- (+ 1 (* y (- x 1))) x))) (taylor 0 y) (#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 (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) (taylor 0 y) (#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 y (taylor 0 y) (#s(alt (/.f64 y (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 y (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1 y))) (taylor 0 y) (#s(alt (/.f64 y (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 y (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* y (- y 1)))) (taylor 0 y) (#s(alt (/.f64 y (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 y (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))) (taylor 0 y) (#s(alt (/.f64 y (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 y (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal -1 binary64) y) (+.f64 #s(literal 1 binary64) y)) (patch (*.f64 (-.f64 #s(literal -1 binary64) y) (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -2 y) 1) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal -1 binary64) y) (+.f64 #s(literal 1 binary64) y)) (patch (*.f64 (-.f64 #s(literal -1 binary64) y) (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- (/ (* y (+ 1 y)) x) (* -1 (+ 1 y))))) (taylor -inf x) (#s(alt (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 #s(literal -1 binary64) y) (neg.f64 (+.f64 y x)))) (patch (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 #s(literal -1 binary64) y) (neg.f64 (+.f64 y x)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ (* y (+ 1 y)) x) (* -1 (+ 1 y))))) (taylor -inf x) (#s(alt (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 #s(literal -1 binary64) y) (neg.f64 (+.f64 y x)))) (patch (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 #s(literal -1 binary64) y) (neg.f64 (+.f64 y x)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 y)) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal -1 binary64) y) (neg.f64 (+.f64 y x))) (patch (*.f64 (-.f64 #s(literal -1 binary64) y) (neg.f64 (+.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (+ 1 y)) (* -1 (/ (* y (+ 1 y)) x))))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal -1 binary64) y) (neg.f64 (+.f64 y x))) (patch (*.f64 (-.f64 #s(literal -1 binary64) y) (neg.f64 (+.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (+ 1 y)) (* -1 (/ (* y (+ 1 y)) x))))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal -1 binary64) y) (neg.f64 (+.f64 y x))) (patch (*.f64 (-.f64 #s(literal -1 binary64) y) (neg.f64 (+.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (+ 1 y)) (* -1 (/ (* y (+ 1 y)) x))))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal -1 binary64) y) (neg.f64 (+.f64 y x))) (patch (*.f64 (-.f64 #s(literal -1 binary64) y) (neg.f64 (+.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#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 (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#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 (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#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 (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#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 (+ 1 y)) (taylor -inf x) (#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 (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#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 (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#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 (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#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 (* -1 (* x (- y 1))) (taylor -inf x) (#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 (* -1 (* x (- (+ y (* -1 (/ y x))) 1))) (taylor -inf x) (#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 (* -1 (* x (- (+ y (* -1 (/ y x))) 1))) (taylor -inf x) (#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 (* -1 (* x (- (+ y (* -1 (/ y x))) 1))) (taylor -inf x) (#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 (* -1 x) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#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 (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#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 (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#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 (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#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 (+ 1 y)) (taylor -inf x) (#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 y)) (taylor -inf x) (#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 y)) (taylor -inf x) (#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 y)) (taylor -inf x) (#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 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 (* -1 x) (taylor -inf x) (#s(alt (neg.f64 (+.f64 y x)) (patch (neg.f64 (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (/ y x)))) (taylor -inf x) (#s(alt (neg.f64 (+.f64 y x)) (patch (neg.f64 (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (/ y x)))) (taylor -inf x) (#s(alt (neg.f64 (+.f64 y x)) (patch (neg.f64 (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (/ y x)))) (taylor -inf x) (#s(alt (neg.f64 (+.f64 y x)) (patch (neg.f64 (+.f64 y x)) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | x | @ | inf | ((/ (- (* 0 (+ 1 y)) (* (- -1 y) (neg (+ y x)))) (* (- -1 y) (+ 1 y))) (* 0 (+ 1 y)) (- (* 0 (+ 1 y)) (* (- -1 y) (neg (+ y x)))) (* (- -1 y) (neg (+ y x))) (/ (+ x y) (+ y 1)) (/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (- 1 x) (/ (+ x y) (+ y 1)) (/ x (+ 1 y)) (+ 1 y) (/ (+ x y) (+ y 1)) (/ y (+ 1 y)) (* (- -1 y) (+ 1 y)) (neg (+ y x))) |
| 2.0ms | x | @ | -inf | ((/ (- (* 0 (+ 1 y)) (* (- -1 y) (neg (+ y x)))) (* (- -1 y) (+ 1 y))) (* 0 (+ 1 y)) (- (* 0 (+ 1 y)) (* (- -1 y) (neg (+ y x)))) (* (- -1 y) (neg (+ y x))) (/ (+ x y) (+ y 1)) (/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (- 1 x) (/ (+ x y) (+ y 1)) (/ x (+ 1 y)) (+ 1 y) (/ (+ x y) (+ y 1)) (/ y (+ 1 y)) (* (- -1 y) (+ 1 y)) (neg (+ y x))) |
| 2.0ms | y | @ | inf | ((/ (- (* 0 (+ 1 y)) (* (- -1 y) (neg (+ y x)))) (* (- -1 y) (+ 1 y))) (* 0 (+ 1 y)) (- (* 0 (+ 1 y)) (* (- -1 y) (neg (+ y x)))) (* (- -1 y) (neg (+ y x))) (/ (+ x y) (+ y 1)) (/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (- 1 x) (/ (+ x y) (+ y 1)) (/ x (+ 1 y)) (+ 1 y) (/ (+ x y) (+ y 1)) (/ y (+ 1 y)) (* (- -1 y) (+ 1 y)) (neg (+ y x))) |
| 2.0ms | y | @ | -inf | ((/ (- (* 0 (+ 1 y)) (* (- -1 y) (neg (+ y x)))) (* (- -1 y) (+ 1 y))) (* 0 (+ 1 y)) (- (* 0 (+ 1 y)) (* (- -1 y) (neg (+ y x)))) (* (- -1 y) (neg (+ y x))) (/ (+ x y) (+ y 1)) (/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (- 1 x) (/ (+ x y) (+ y 1)) (/ x (+ 1 y)) (+ 1 y) (/ (+ x y) (+ y 1)) (/ y (+ 1 y)) (* (- -1 y) (+ 1 y)) (neg (+ y x))) |
| 1.0ms | y | @ | 0 | ((/ (- (* 0 (+ 1 y)) (* (- -1 y) (neg (+ y x)))) (* (- -1 y) (+ 1 y))) (* 0 (+ 1 y)) (- (* 0 (+ 1 y)) (* (- -1 y) (neg (+ y x)))) (* (- -1 y) (neg (+ y x))) (/ (+ x y) (+ y 1)) (/ (+ x y) (+ y 1)) (+ (* (- 1 x) y) x) (- 1 x) (/ (+ x y) (+ y 1)) (/ x (+ 1 y)) (+ 1 y) (/ (+ x y) (+ y 1)) (/ y (+ 1 y)) (* (- -1 y) (+ 1 y)) (neg (+ y x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 263 | 2459 |
| 1 | 828 | 2384 |
| 2 | 2263 | 2173 |
| 3 | 7952 | 2173 |
| 0 | 8422 | 2114 |
| 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))) |
0 |
0 |
0 |
0 |
(* -1 x) |
(- (* -1 (* y (+ 1 x))) x) |
(- (* y (- (* -1 y) (+ 1 x))) x) |
(- (* y (- (* -1 y) (+ 1 x))) x) |
x |
(+ x (* y (+ 1 x))) |
(+ x (* y (+ 1 (+ x y)))) |
(+ x (* y (+ 1 (+ 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 (* 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))) |
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))) |
y |
(* y (+ 1 (* -1 y))) |
(* y (+ 1 (* y (- y 1)))) |
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))) |
-1 |
(- (* -2 y) 1) |
(- (* y (- (* -1 y) 2)) 1) |
(- (* y (- (* -1 y) 2)) 1) |
(* -1 x) |
(- (* -1 y) x) |
(- (* -1 y) x) |
(- (* -1 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))))) |
0 |
0 |
0 |
0 |
(* -1 (pow y 2)) |
(* (pow y 2) (- (* -1 (/ (+ 1 x) y)) 1)) |
(* (pow y 2) (- (* -1 (/ x (pow y 2))) (+ 1 (+ (/ 1 y) (/ x y))))) |
(* (pow y 2) (- (* -1 (/ x (pow y 2))) (+ 1 (+ (/ 1 y) (/ x y))))) |
(pow y 2) |
(* (pow y 2) (+ 1 (+ (/ 1 y) (/ x y)))) |
(* (pow y 2) (+ 1 (+ (/ 1 y) (+ (/ x y) (/ x (pow y 2)))))) |
(* (pow y 2) (+ 1 (+ (/ 1 y) (+ (/ x y) (/ 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))))) |
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) |
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 (/ 1 y)) |
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) |
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) |
(* -1 (pow y 2)) |
(* -1 (* (pow y 2) (+ 1 (* 2 (/ 1 y))))) |
(* (pow y 2) (- (* -1 (/ (+ 2 (/ 1 y)) y)) 1)) |
(* (pow y 2) (- (* -1 (/ (+ 2 (/ 1 y)) y)) 1)) |
(* -1 y) |
(* y (- (* -1 (/ x y)) 1)) |
(* y (- (* -1 (/ x y)) 1)) |
(* y (- (* -1 (/ x y)) 1)) |
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))) |
0 |
0 |
0 |
0 |
(* -1 (pow y 2)) |
(* (pow y 2) (- (* -1 (/ (- 1 (* -1 x)) y)) 1)) |
(* (pow y 2) (- (* -1 (/ (- (+ 1 (/ x y)) (* -1 x)) y)) 1)) |
(* (pow y 2) (- (* -1 (/ (- (+ 1 (/ x y)) (* -1 x)) y)) 1)) |
(pow y 2) |
(* (pow y 2) (+ 1 (* -1 (/ (- (* -1 x) 1) y)))) |
(* (pow y 2) (+ 1 (* -1 (/ (- (+ (* -1 x) (* -1 (/ x y))) 1) y)))) |
(* (pow y 2) (+ 1 (* -1 (/ (- (+ (* -1 x) (* -1 (/ x 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 (* -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)) |
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 y)) |
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y))) |
(* -1 (pow y 2)) |
(* -1 (* (pow y 2) (+ 1 (* 2 (/ 1 y))))) |
(* (pow y 2) (- (* -1 (/ (+ 2 (/ 1 y)) y)) 1)) |
(* (pow y 2) (- (* -1 (/ (+ 2 (/ 1 y)) y)) 1)) |
(* -1 y) |
(* -1 (* y (+ 1 (/ x y)))) |
(* -1 (* y (+ 1 (/ x y)))) |
(* -1 (* y (+ 1 (/ x y)))) |
(/ y (+ 1 y)) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(* -1 (* y (+ 1 y))) |
(- (* -1 (* x (+ 1 y))) (* y (+ 1 y))) |
(- (* -1 (* x (+ 1 y))) (* y (+ 1 y))) |
(- (* -1 (* 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)) |
(+ (/ 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 |
(+ 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)) |
(/ y (+ 1 y)) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(* -1 y) |
(- (* -1 x) y) |
(- (* -1 x) y) |
(- (* -1 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))))) |
(* -1 (* x (+ 1 y))) |
(* x (- (* -1 (/ (* y (+ 1 y)) x)) (+ 1 y))) |
(* x (- (* -1 (/ (* y (+ 1 y)) x)) (+ 1 y))) |
(* x (- (* -1 (/ (* y (+ 1 y)) x)) (+ 1 y))) |
(* x (+ 1 y)) |
(* x (+ 1 (+ y (/ (* y (+ 1 y)) x)))) |
(* x (+ 1 (+ y (/ (* y (+ 1 y)) x)))) |
(* x (+ 1 (+ y (/ (* y (+ 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 (* -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 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* -1 x) |
(* x (- (* -1 (/ y x)) 1)) |
(* x (- (* -1 (/ y x)) 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))))) |
(* -1 (* x (+ 1 y))) |
(* -1 (* x (- (/ (* y (+ 1 y)) x) (* -1 (+ 1 y))))) |
(* -1 (* x (- (/ (* y (+ 1 y)) x) (* -1 (+ 1 y))))) |
(* -1 (* x (- (/ (* y (+ 1 y)) x) (* -1 (+ 1 y))))) |
(* x (+ 1 y)) |
(* -1 (* x (+ (* -1 (+ 1 y)) (* -1 (/ (* y (+ 1 y)) x))))) |
(* -1 (* x (+ (* -1 (+ 1 y)) (* -1 (/ (* y (+ 1 y)) x))))) |
(* -1 (* x (+ (* -1 (+ 1 y)) (* -1 (/ (* y (+ 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 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)) |
(* -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) |
(* -1 (* x (+ 1 (/ y x)))) |
(* -1 (* x (+ 1 (/ y x)))) |
(* -1 (* x (+ 1 (/ y x)))) |
| 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)) (-.f64 y #s(literal 1 binary64))) y 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) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
(* -1 x) |
(neg.f64 x) |
(- (* -1 (* y (+ 1 x))) x) |
(fma.f64 (-.f64 #s(literal -1 binary64) x) y (neg.f64 x)) |
(- (* y (- (* -1 y) (+ 1 x))) x) |
(*.f64 (-.f64 #s(literal -1 binary64) y) (+.f64 y x)) |
(- (* y (- (* -1 y) (+ 1 x))) x) |
(*.f64 (-.f64 #s(literal -1 binary64) y) (+.f64 y x)) |
x |
(+ x (* y (+ 1 x))) |
(fma.f64 (-.f64 y #s(literal -1 binary64)) x y) |
(+ x (* y (+ 1 (+ x y)))) |
(*.f64 (-.f64 y #s(literal -1 binary64)) (+.f64 y x)) |
(+ x (* y (+ 1 (+ x y)))) |
(*.f64 (-.f64 y #s(literal -1 binary64)) (+.f64 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 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 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.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 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 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.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 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 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 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) 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 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y (neg.f64 x)) y x) |
1 |
#s(literal 1 binary64) |
(+ 1 y) |
(-.f64 y #s(literal -1 binary64)) |
(+ 1 y) |
(-.f64 y #s(literal -1 binary64)) |
(+ 1 y) |
(-.f64 y #s(literal -1 binary64)) |
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)) (-.f64 y #s(literal 1 binary64))) y 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) |
y |
(* y (+ 1 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) y) |
(* y (+ 1 (* y (- y 1)))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y) |
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) y #s(literal 1 binary64)) y) |
-1 |
#s(literal -1 binary64) |
(- (* -2 y) 1) |
(fma.f64 #s(literal -2 binary64) y #s(literal -1 binary64)) |
(- (* y (- (* -1 y) 2)) 1) |
(fma.f64 (-.f64 #s(literal -2 binary64) y) y #s(literal -1 binary64)) |
(- (* y (- (* -1 y) 2)) 1) |
(fma.f64 (-.f64 #s(literal -2 binary64) y) y #s(literal -1 binary64)) |
(* -1 x) |
(neg.f64 x) |
(- (* -1 y) x) |
(-.f64 (neg.f64 y) x) |
(- (* -1 y) x) |
(-.f64 (neg.f64 y) x) |
(- (* -1 y) x) |
(-.f64 (neg.f64 y) x) |
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)))) |
(-.f64 (+.f64 (/.f64 x y) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) y)) (-.f64 (/.f64 #s(literal 1 binary64) y) #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) y) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
(* -1 (pow y 2)) |
(*.f64 (neg.f64 y) y) |
(* (pow y 2) (- (* -1 (/ (+ 1 x) y)) 1)) |
(*.f64 (-.f64 (-.f64 #s(literal -1 binary64) x) y) y) |
(* (pow y 2) (- (* -1 (/ x (pow y 2))) (+ 1 (+ (/ 1 y) (/ x y))))) |
(*.f64 (-.f64 #s(literal -1 binary64) y) (+.f64 y x)) |
(* (pow y 2) (- (* -1 (/ x (pow y 2))) (+ 1 (+ (/ 1 y) (/ x y))))) |
(*.f64 (-.f64 #s(literal -1 binary64) y) (+.f64 y x)) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (+ 1 (+ (/ 1 y) (/ x y)))) |
(fma.f64 (+.f64 y x) y y) |
(* (pow y 2) (+ 1 (+ (/ 1 y) (+ (/ x y) (/ x (pow y 2)))))) |
(*.f64 (-.f64 y #s(literal -1 binary64)) (+.f64 y x)) |
(* (pow y 2) (+ 1 (+ (/ 1 y) (+ (/ x y) (/ x (pow y 2)))))) |
(*.f64 (-.f64 y #s(literal -1 binary64)) (+.f64 y x)) |
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)))) |
(-.f64 (+.f64 (/.f64 x y) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) y)) (-.f64 (/.f64 #s(literal 1 binary64) y) #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) y) (/.f64 #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 #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)))) |
(-.f64 (+.f64 (/.f64 x y) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) y)) (-.f64 (/.f64 #s(literal 1 binary64) y) #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) y) (/.f64 #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) x) y x) |
(* y (- (+ 1 (/ x y)) x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
(* y (- (+ 1 (/ x y)) x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
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)))) |
(-.f64 (+.f64 (/.f64 x y) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) y)) (-.f64 (/.f64 #s(literal 1 binary64) y) #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) y) (/.f64 #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 x (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x y) x) y) x) y)) y) |
y |
(* y (+ 1 (/ 1 y))) |
(-.f64 y #s(literal -1 binary64)) |
(* y (+ 1 (/ 1 y))) |
(-.f64 y #s(literal -1 binary64)) |
(* y (+ 1 (/ 1 y))) |
(-.f64 y #s(literal -1 binary64)) |
1 |
#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)))) |
(-.f64 (+.f64 (/.f64 x y) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) y)) (-.f64 (/.f64 #s(literal 1 binary64) y) #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) y) (/.f64 #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 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) |
(* -1 (pow y 2)) |
(*.f64 (neg.f64 y) y) |
(* -1 (* (pow y 2) (+ 1 (* 2 (/ 1 y))))) |
(*.f64 (-.f64 #s(literal -2 binary64) y) y) |
(* (pow y 2) (- (* -1 (/ (+ 2 (/ 1 y)) y)) 1)) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) y)) y) y) |
(* (pow y 2) (- (* -1 (/ (+ 2 (/ 1 y)) y)) 1)) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) y)) y) y) |
(* -1 y) |
(neg.f64 y) |
(* y (- (* -1 (/ x y)) 1)) |
(-.f64 (neg.f64 y) x) |
(* y (- (* -1 (/ x y)) 1)) |
(-.f64 (neg.f64 y) x) |
(* y (- (* -1 (/ x y)) 1)) |
(-.f64 (neg.f64 y) x) |
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 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))) |
(+ 1 (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) y))) |
(+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) y) #s(literal 1 binary64)) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
(* -1 (pow y 2)) |
(*.f64 (neg.f64 y) y) |
(* (pow y 2) (- (* -1 (/ (- 1 (* -1 x)) y)) 1)) |
(*.f64 (-.f64 (-.f64 #s(literal -1 binary64) x) y) y) |
(* (pow y 2) (- (* -1 (/ (- (+ 1 (/ x y)) (* -1 x)) y)) 1)) |
(*.f64 (-.f64 #s(literal -1 binary64) y) (+.f64 y x)) |
(* (pow y 2) (- (* -1 (/ (- (+ 1 (/ x y)) (* -1 x)) y)) 1)) |
(*.f64 (-.f64 #s(literal -1 binary64) y) (+.f64 y x)) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (+ 1 (* -1 (/ (- (* -1 x) 1) y)))) |
(fma.f64 (+.f64 y x) y y) |
(* (pow y 2) (+ 1 (* -1 (/ (- (+ (* -1 x) (* -1 (/ x y))) 1) y)))) |
(fma.f64 (+.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) x) y (*.f64 y y)) |
(* (pow y 2) (+ 1 (* -1 (/ (- (+ (* -1 x) (* -1 (/ x y))) 1) y)))) |
(fma.f64 (+.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) x) y (*.f64 y 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))) |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y))) |
(+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) y) #s(literal 1 binary64)) |
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))) |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y))) |
(+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) y) #s(literal 1 binary64)) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
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))) |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y))) |
(+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) y) #s(literal 1 binary64)) |
(/ x y) |
(/.f64 x y) |
(* -1 (/ (+ (* -1 x) (/ x y)) y)) |
(/.f64 (-.f64 x (/.f64 x y)) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x y) x) y))) y)) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x y) x) y) x) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x y) x) y)) x) y))) y)) |
(/.f64 (-.f64 x (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x y) x) y) x) y)) y) |
y |
(* y (+ 1 (/ 1 y))) |
(-.f64 y #s(literal -1 binary64)) |
(* y (+ 1 (/ 1 y))) |
(-.f64 y #s(literal -1 binary64)) |
(* y (+ 1 (/ 1 y))) |
(-.f64 y #s(literal -1 binary64)) |
1 |
#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))) |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y))) |
(+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) y) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(- 1 (/ 1 y)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) |
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) y)) |
(* -1 (pow y 2)) |
(*.f64 (neg.f64 y) y) |
(* -1 (* (pow y 2) (+ 1 (* 2 (/ 1 y))))) |
(*.f64 (-.f64 #s(literal -2 binary64) y) y) |
(* (pow y 2) (- (* -1 (/ (+ 2 (/ 1 y)) y)) 1)) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) y)) y) y) |
(* (pow y 2) (- (* -1 (/ (+ 2 (/ 1 y)) y)) 1)) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) y)) y) y) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (+ 1 (/ x y)))) |
(-.f64 (neg.f64 y) x) |
(* -1 (* y (+ 1 (/ x y)))) |
(-.f64 (neg.f64 y) x) |
(* -1 (* y (+ 1 (/ x y)))) |
(-.f64 (neg.f64 y) x) |
(/ y (+ 1 y)) |
(/.f64 y (-.f64 y #s(literal -1 binary64))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(-.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(-.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(-.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(* -1 (* y (+ 1 y))) |
(*.f64 (-.f64 #s(literal -1 binary64) y) y) |
(- (* -1 (* x (+ 1 y))) (* y (+ 1 y))) |
(*.f64 (-.f64 #s(literal -1 binary64) y) (+.f64 y x)) |
(- (* -1 (* x (+ 1 y))) (* y (+ 1 y))) |
(*.f64 (-.f64 #s(literal -1 binary64) y) (+.f64 y x)) |
(- (* -1 (* x (+ 1 y))) (* y (+ 1 y))) |
(*.f64 (-.f64 #s(literal -1 binary64) y) (+.f64 y x)) |
(* y (+ 1 y)) |
(fma.f64 y y y) |
(+ (* x (+ 1 y)) (* y (+ 1 y))) |
(*.f64 (-.f64 y #s(literal -1 binary64)) (+.f64 y x)) |
(+ (* x (+ 1 y)) (* y (+ 1 y))) |
(*.f64 (-.f64 y #s(literal -1 binary64)) (+.f64 y x)) |
(+ (* x (+ 1 y)) (* y (+ 1 y))) |
(*.f64 (-.f64 y #s(literal -1 binary64)) (+.f64 y x)) |
(/ y (+ 1 y)) |
(/.f64 y (-.f64 y #s(literal -1 binary64))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(-.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(-.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(-.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(/ y (+ 1 y)) |
(/.f64 y (-.f64 y #s(literal -1 binary64))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(-.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(-.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(-.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
y |
(+ y (* x (+ 1 (* -1 y)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
(+ y (* x (+ 1 (* -1 y)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
(+ y (* x (+ 1 (* -1 y)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(/ y (+ 1 y)) |
(/.f64 y (-.f64 y #s(literal -1 binary64))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(-.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(-.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(-.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(/ x (+ 1 y)) |
(/.f64 x (-.f64 y #s(literal -1 binary64))) |
(/ x (+ 1 y)) |
(/.f64 x (-.f64 y #s(literal -1 binary64))) |
(/ x (+ 1 y)) |
(/.f64 x (-.f64 y #s(literal -1 binary64))) |
(/ x (+ 1 y)) |
(/.f64 x (-.f64 y #s(literal -1 binary64))) |
(/ y (+ 1 y)) |
(/.f64 y (-.f64 y #s(literal -1 binary64))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(-.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(-.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(-.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(* -1 y) |
(neg.f64 y) |
(- (* -1 x) y) |
(-.f64 (neg.f64 y) x) |
(- (* -1 x) y) |
(-.f64 (neg.f64 y) x) |
(- (* -1 x) y) |
(-.f64 (neg.f64 y) x) |
(/ x (+ 1 y)) |
(/.f64 x (-.f64 y #s(literal -1 binary64))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(-.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(-.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(-.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(* -1 (* x (+ 1 y))) |
(*.f64 (-.f64 #s(literal -1 binary64) y) x) |
(* x (- (* -1 (/ (* y (+ 1 y)) x)) (+ 1 y))) |
(*.f64 (-.f64 #s(literal -1 binary64) y) (+.f64 y x)) |
(* x (- (* -1 (/ (* y (+ 1 y)) x)) (+ 1 y))) |
(*.f64 (-.f64 #s(literal -1 binary64) y) (+.f64 y x)) |
(* x (- (* -1 (/ (* y (+ 1 y)) x)) (+ 1 y))) |
(*.f64 (-.f64 #s(literal -1 binary64) y) (+.f64 y x)) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 (+ y (/ (* y (+ 1 y)) x)))) |
(*.f64 (-.f64 y #s(literal -1 binary64)) (+.f64 y x)) |
(* x (+ 1 (+ y (/ (* y (+ 1 y)) x)))) |
(*.f64 (-.f64 y #s(literal -1 binary64)) (+.f64 y x)) |
(* x (+ 1 (+ y (/ (* y (+ 1 y)) x)))) |
(*.f64 (-.f64 y #s(literal -1 binary64)) (+.f64 y x)) |
(/ x (+ 1 y)) |
(/.f64 x (-.f64 y #s(literal -1 binary64))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(-.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(-.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(-.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(/ x (+ 1 y)) |
(/.f64 x (-.f64 y #s(literal -1 binary64))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(-.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(-.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(-.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(* x (+ 1 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* x (+ 1 (+ (* -1 y) (/ y x)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
(* x (+ 1 (+ (* -1 y) (/ y x)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
(* x (+ 1 (+ (* -1 y) (/ y x)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y 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 y #s(literal -1 binary64))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(-.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(-.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(-.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(/ x (+ 1 y)) |
(/.f64 x (-.f64 y #s(literal -1 binary64))) |
(/ x (+ 1 y)) |
(/.f64 x (-.f64 y #s(literal -1 binary64))) |
(/ x (+ 1 y)) |
(/.f64 x (-.f64 y #s(literal -1 binary64))) |
(/ x (+ 1 y)) |
(/.f64 x (-.f64 y #s(literal -1 binary64))) |
(/ x (+ 1 y)) |
(/.f64 x (-.f64 y #s(literal -1 binary64))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(-.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(-.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(-.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* -1 (/ y x)) 1)) |
(-.f64 (neg.f64 y) x) |
(* x (- (* -1 (/ y x)) 1)) |
(-.f64 (neg.f64 y) x) |
(* x (- (* -1 (/ y x)) 1)) |
(-.f64 (neg.f64 y) x) |
(/ x (+ 1 y)) |
(/.f64 x (-.f64 y #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(-.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(-.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(-.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(* -1 (* x (+ 1 y))) |
(*.f64 (-.f64 #s(literal -1 binary64) y) x) |
(* -1 (* x (- (/ (* y (+ 1 y)) x) (* -1 (+ 1 y))))) |
(*.f64 (-.f64 #s(literal -1 binary64) y) (+.f64 y x)) |
(* -1 (* x (- (/ (* y (+ 1 y)) x) (* -1 (+ 1 y))))) |
(*.f64 (-.f64 #s(literal -1 binary64) y) (+.f64 y x)) |
(* -1 (* x (- (/ (* y (+ 1 y)) x) (* -1 (+ 1 y))))) |
(*.f64 (-.f64 #s(literal -1 binary64) y) (+.f64 y x)) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* -1 (* x (+ (* -1 (+ 1 y)) (* -1 (/ (* y (+ 1 y)) x))))) |
(*.f64 (-.f64 y #s(literal -1 binary64)) (+.f64 y x)) |
(* -1 (* x (+ (* -1 (+ 1 y)) (* -1 (/ (* y (+ 1 y)) x))))) |
(*.f64 (-.f64 y #s(literal -1 binary64)) (+.f64 y x)) |
(* -1 (* x (+ (* -1 (+ 1 y)) (* -1 (/ (* y (+ 1 y)) x))))) |
(*.f64 (-.f64 y #s(literal -1 binary64)) (+.f64 y x)) |
(/ x (+ 1 y)) |
(/.f64 x (-.f64 y #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(-.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(-.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(-.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(/ x (+ 1 y)) |
(/.f64 x (-.f64 y #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(-.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(-.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(-.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) (/.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 #s(literal 1 binary64) x) y x) |
(* -1 (* x (- (+ y (* -1 (/ y x))) 1))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
(* -1 (* x (- (+ y (* -1 (/ y x))) 1))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(/ x (+ 1 y)) |
(/.f64 x (-.f64 y #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(-.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(-.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(-.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(/ x (+ 1 y)) |
(/.f64 x (-.f64 y #s(literal -1 binary64))) |
(/ x (+ 1 y)) |
(/.f64 x (-.f64 y #s(literal -1 binary64))) |
(/ x (+ 1 y)) |
(/.f64 x (-.f64 y #s(literal -1 binary64))) |
(/ x (+ 1 y)) |
(/.f64 x (-.f64 y #s(literal -1 binary64))) |
(/ x (+ 1 y)) |
(/.f64 x (-.f64 y #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(-.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(-.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(-.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (/ y x)))) |
(-.f64 (neg.f64 y) x) |
(* -1 (* x (+ 1 (/ y x)))) |
(-.f64 (neg.f64 y) x) |
(* -1 (* x (+ 1 (/ y x)))) |
(-.f64 (neg.f64 y) x) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 131 |
| 0 | 39 | 119 |
| 1 | 190 | 113 |
| 2 | 1653 | 112 |
| 0 | 8614 | 112 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 #s(literal -1 binary64) y) (neg.f64 (+.f64 y x)))) (*.f64 (-.f64 #s(literal -1 binary64) y) (+.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) y)) |
(-.f64 (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 #s(literal -1 binary64) y) (neg.f64 (+.f64 y x)))) |
(*.f64 (-.f64 #s(literal -1 binary64) y) (neg.f64 (+.f64 y x))) |
#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)) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
(-.f64 #s(literal 1 binary64) x) |
#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 y (+.f64 #s(literal 1 binary64) y))) |
(/.f64 y (+.f64 #s(literal 1 binary64) y)) |
(*.f64 (-.f64 #s(literal -1 binary64) y) (+.f64 #s(literal 1 binary64) y)) |
(neg.f64 (+.f64 y x)) |
| Outputs |
|---|
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Compiled 45 033 to 4 370 computations (90.3% saved)
12 alts after pruning (8 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 570 | 8 | 1 578 |
| Fresh | 2 | 0 | 2 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 574 | 12 | 1 586 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| ▶ | 26.8% | (/.f64 #s(approx (- (* 0 (+ 1 y)) (* (- -1 y) (neg (+ y x)))) (*.f64 (-.f64 #s(literal -1 binary64) y) y)) (*.f64 (-.f64 #s(literal -1 binary64) y) (+.f64 #s(literal 1 binary64) y))) |
| 48.6% | #s(approx (/ (- (* 0 (+ 1 y)) (* (- -1 y) (neg (+ y x)))) (* (- -1 y) (+ 1 y))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) | |
| ▶ | 38.7% | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x)) |
| ▶ | 52.8% | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
| ✓ | 51.2% | #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
| ✓ | 49.0% | #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
| ▶ | 15.5% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y))) |
| 15.0% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) | |
| 12.6% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) | |
| ▶ | 38.7% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))) |
| ✓ | 38.5% | #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) |
Compiled 149 to 134 computations (10.1% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (-.f64 #s(literal -1 binary64) y) y) | |
| cost-diff | 0 | #s(approx (- (* 0 (+ 1 y)) (* (- -1 y) (neg (+ y x)))) (*.f64 (-.f64 #s(literal -1 binary64) y) y)) | |
| cost-diff | 0 | (/.f64 #s(approx (- (* 0 (+ 1 y)) (* (- -1 y) (neg (+ y x)))) (*.f64 (-.f64 #s(literal -1 binary64) y) y)) (*.f64 (-.f64 #s(literal -1 binary64) y) (+.f64 #s(literal 1 binary64) y))) | |
| cost-diff | 128 | (*.f64 (-.f64 #s(literal -1 binary64) y) (+.f64 #s(literal 1 binary64) y)) | |
| cost-diff | 0 | (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y) | |
| cost-diff | 0 | #s(approx (/ y (+ 1 y)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y)) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y))) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | #s(approx (- 1 x) (neg.f64 x)) | |
| cost-diff | 0 | (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x)) | |
| 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: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 233 |
| 0 | 56 | 225 |
| 1 | 103 | 219 |
| 2 | 213 | 219 |
| 3 | 678 | 219 |
| 4 | 1459 | 219 |
| 5 | 3397 | 219 |
| 6 | 4101 | 219 |
| 7 | 4476 | 219 |
| 8 | 4723 | 219 |
| 9 | 4751 | 219 |
| 10 | 4777 | 219 |
| 11 | 5091 | 219 |
| 12 | 5197 | 219 |
| 13 | 5197 | 219 |
| 0 | 5197 | 217 |
| 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)) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x)) |
(fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x) |
#s(approx (- 1 x) (neg.f64 x)) |
(neg.f64 x) |
x |
y |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y))) |
#s(approx (/ y (+ 1 y)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y)) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(-.f64 y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
(/.f64 #s(approx (- (* 0 (+ 1 y)) (* (- -1 y) (neg (+ y x)))) (*.f64 (-.f64 #s(literal -1 binary64) y) y)) (*.f64 (-.f64 #s(literal -1 binary64) y) (+.f64 #s(literal 1 binary64) y))) |
#s(approx (- (* 0 (+ 1 y)) (* (- -1 y) (neg (+ y x)))) (*.f64 (-.f64 #s(literal -1 binary64) y) y)) |
(*.f64 (-.f64 #s(literal -1 binary64) y) y) |
(-.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
(*.f64 (-.f64 #s(literal -1 binary64) y) (+.f64 #s(literal 1 binary64) y)) |
(+.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
| Outputs |
|---|
#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)) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x)) |
(fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x) |
#s(approx (- 1 x) (neg.f64 x)) |
(neg.f64 x) |
x |
y |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y))) |
#s(approx (/ y (+ 1 y)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y)) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(-.f64 y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
(/.f64 #s(approx (- (* 0 (+ 1 y)) (* (- -1 y) (neg (+ y x)))) (*.f64 (-.f64 #s(literal -1 binary64) y) y)) (*.f64 (-.f64 #s(literal -1 binary64) y) (+.f64 #s(literal 1 binary64) y))) |
(/.f64 #s(approx (- (* 0 (+ 1 y)) (* (- -1 y) (neg (+ y x)))) (*.f64 (-.f64 #s(literal -1 binary64) y) y)) (fma.f64 (-.f64 #s(literal -2 binary64) y) y #s(literal -1 binary64))) |
#s(approx (- (* 0 (+ 1 y)) (* (- -1 y) (neg (+ y x)))) (*.f64 (-.f64 #s(literal -1 binary64) y) y)) |
(*.f64 (-.f64 #s(literal -1 binary64) y) y) |
(-.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
(*.f64 (-.f64 #s(literal -1 binary64) y) (+.f64 #s(literal 1 binary64) y)) |
(fma.f64 (-.f64 #s(literal -2 binary64) y) y #s(literal -1 binary64)) |
(+.f64 #s(literal 1 binary64) y) |
(-.f64 y #s(literal -1 binary64)) |
#s(literal 1 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (*.f64 (-.f64 #s(literal -1 binary64) y) (+.f64 #s(literal 1 binary64) y)) | |
| accuracy | 0.00390625 | (*.f64 (-.f64 #s(literal -1 binary64) y) y) | |
| accuracy | 18.715563306710408 | (/.f64 #s(approx (- (* 0 (+ 1 y)) (* (- -1 y) (neg (+ y x)))) (*.f64 (-.f64 #s(literal -1 binary64) y) y)) (*.f64 (-.f64 #s(literal -1 binary64) y) (+.f64 #s(literal 1 binary64) y))) | |
| accuracy | 30.316168051814202 | #s(approx (- (* 0 (+ 1 y)) (* (- -1 y) (neg (+ y x)))) (*.f64 (-.f64 #s(literal -1 binary64) y) y)) | |
| accuracy | 0 | (-.f64 y #s(literal 1 binary64)) | |
| accuracy | 0.05859375 | (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y) | |
| accuracy | 30.05176131184589 | #s(approx (/ y (+ 1 y)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y)) | |
| accuracy | 31.214832167930997 | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y))) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0.0078125 | (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x) | |
| accuracy | 30.227779909268783 | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x)) | |
| accuracy | 32.07815027852648 | #s(approx (- 1 x) (neg.f64 x)) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.01171875 | (*.f64 (-.f64 #s(literal 1 binary64) y) x) | |
| accuracy | 30.186246495672446 | #s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) | |
| accuracy | 32.638547179093024 | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))) | |
| accuracy | 0.0078125 | (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) | |
| accuracy | 30.227779909268783 | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) | |
| accuracy | 30.413844317322084 | #s(approx (- 1 x) #s(literal 1 binary64)) |
| 142.0ms | 256× | 0 | valid |
Compiled 156 to 32 computations (79.5% saved)
ival-add: 56.0ms (44.1% of total)ival-div: 51.0ms (40.2% of total)ival-mult: 11.0ms (8.7% of total)ival-sub: 6.0ms (4.7% of total)ival-neg: 2.0ms (1.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 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)) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x)) (patch #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x) (patch (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 x) (neg.f64 x)) (patch #s(approx (- 1 x) (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ y (+ 1 y)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y)) (patch #s(approx (/ y (+ 1 y)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y) (patch (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y) #<representation binary64>) () ()) |
#s(alt (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) (patch (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 #s(literal -1 binary64) y) (+.f64 #s(literal 1 binary64) y)) (patch (*.f64 (-.f64 #s(literal -1 binary64) y) (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (- (* 0 (+ 1 y)) (* (- -1 y) (neg (+ y x)))) (*.f64 (-.f64 #s(literal -1 binary64) y) y)) (*.f64 (-.f64 #s(literal -1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (patch (/.f64 #s(approx (- (* 0 (+ 1 y)) (* (- -1 y) (neg (+ y x)))) (*.f64 (-.f64 #s(literal -1 binary64) y) y)) (*.f64 (-.f64 #s(literal -1 binary64) y) (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (* 0 (+ 1 y)) (* (- -1 y) (neg (+ y x)))) (*.f64 (-.f64 #s(literal -1 binary64) y) y)) (patch #s(approx (- (* 0 (+ 1 y)) (* (- -1 y) (neg (+ y x)))) (*.f64 (-.f64 #s(literal -1 binary64) y) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 #s(literal -1 binary64) y) y) (patch (*.f64 (-.f64 #s(literal -1 binary64) y) 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 #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>) () ())) ()) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 55.0ms | 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)) (+ (* (- 1 x) y) x) (- 1 x) (neg x) (/ (+ x y) (+ y 1)) (/ y (+ 1 y)) (* (+ (* (- y 1) y) 1) y) (+ (* (- y 1) y) 1) (* (- -1 y) (+ 1 y)) (/ (- (* 0 (+ 1 y)) (* (- -1 y) (neg (+ y x)))) (* (- -1 y) (+ 1 y))) (- (* 0 (+ 1 y)) (* (- -1 y) (neg (+ y x)))) (* (- -1 y) y) (- y 1)) |
| 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)) (+ (* (- 1 x) y) x) (- 1 x) (neg x) (/ (+ x y) (+ y 1)) (/ y (+ 1 y)) (* (+ (* (- y 1) y) 1) y) (+ (* (- y 1) y) 1) (* (- -1 y) (+ 1 y)) (/ (- (* 0 (+ 1 y)) (* (- -1 y) (neg (+ y x)))) (* (- -1 y) (+ 1 y))) (- (* 0 (+ 1 y)) (* (- -1 y) (neg (+ y x)))) (* (- -1 y) y) (- y 1)) |
| 1.0ms | 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)) (+ (* (- 1 x) y) x) (- 1 x) (neg x) (/ (+ x y) (+ y 1)) (/ y (+ 1 y)) (* (+ (* (- y 1) y) 1) y) (+ (* (- y 1) y) 1) (* (- -1 y) (+ 1 y)) (/ (- (* 0 (+ 1 y)) (* (- -1 y) (neg (+ y x)))) (* (- -1 y) (+ 1 y))) (- (* 0 (+ 1 y)) (* (- -1 y) (neg (+ y x)))) (* (- -1 y) y) (- y 1)) |
| 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)) (+ (* (- 1 x) y) x) (- 1 x) (neg x) (/ (+ x y) (+ y 1)) (/ y (+ 1 y)) (* (+ (* (- y 1) y) 1) y) (+ (* (- y 1) y) 1) (* (- -1 y) (+ 1 y)) (/ (- (* 0 (+ 1 y)) (* (- -1 y) (neg (+ y x)))) (* (- -1 y) (+ 1 y))) (- (* 0 (+ 1 y)) (* (- -1 y) (neg (+ y x)))) (* (- -1 y) y) (- y 1)) |
| 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)) (+ (* (- 1 x) y) x) (- 1 x) (neg x) (/ (+ x y) (+ y 1)) (/ y (+ 1 y)) (* (+ (* (- y 1) y) 1) y) (+ (* (- y 1) y) 1) (* (- -1 y) (+ 1 y)) (/ (- (* 0 (+ 1 y)) (* (- -1 y) (neg (+ y x)))) (* (- -1 y) (+ 1 y))) (- (* 0 (+ 1 y)) (* (- -1 y) (neg (+ y x)))) (* (- -1 y) y) (- y 1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 248 | 2806 |
| 1 | 767 | 2701 |
| 2 | 2110 | 2556 |
| 3 | 6962 | 2550 |
| 0 | 8163 | 2462 |
| 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))) |
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))) |
y |
(* y (+ 1 (* -1 y))) |
(* y (+ 1 (* y (- y 1)))) |
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))) |
y |
(* y (+ 1 (* -1 y))) |
(* y (+ 1 (* y (- y 1)))) |
(* y (+ 1 (* y (- y 1)))) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* y (- y 1))) |
(+ 1 (* y (- y 1))) |
-1 |
(- (* -2 y) 1) |
(- (* y (- (* -1 y) 2)) 1) |
(- (* y (- (* -1 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))) |
(* -1 x) |
(- (* -1 (* y (+ 1 x))) x) |
(- (* y (- (* -1 y) (+ 1 x))) x) |
(- (* y (- (* -1 y) (+ 1 x))) x) |
(* -1 y) |
(* y (- (* -1 y) 1)) |
(* y (- (* -1 y) 1)) |
(* y (- (* -1 y) 1)) |
-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))))) |
(* 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))))) |
(* 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))))) |
1 |
(- 1 (/ 1 y)) |
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) |
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) |
(pow y 3) |
(* (pow y 3) (- 1 (/ 1 y))) |
(* (pow y 3) (- (+ 1 (/ 1 (pow y 2))) (/ 1 y))) |
(* (pow y 3) (- (+ 1 (/ 1 (pow y 2))) (/ 1 y))) |
(pow y 2) |
(* (pow y 2) (- 1 (/ 1 y))) |
(* (pow y 2) (- (+ 1 (/ 1 (pow y 2))) (/ 1 y))) |
(* (pow y 2) (- (+ 1 (/ 1 (pow y 2))) (/ 1 y))) |
(* -1 (pow y 2)) |
(* -1 (* (pow y 2) (+ 1 (* 2 (/ 1 y))))) |
(* (pow y 2) (- (* -1 (/ (+ 2 (/ 1 y)) y)) 1)) |
(* (pow y 2) (- (* -1 (/ (+ 2 (/ 1 y)) 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 (pow y 2)) |
(* (pow y 2) (- (* -1 (/ (+ 1 x) y)) 1)) |
(* (pow y 2) (- (* -1 (/ x (pow y 2))) (+ 1 (+ (/ 1 y) (/ x y))))) |
(* (pow y 2) (- (* -1 (/ x (pow y 2))) (+ 1 (+ (/ 1 y) (/ x y))))) |
(* -1 (pow y 2)) |
(* -1 (* (pow y 2) (+ 1 (/ 1 y)))) |
(* -1 (* (pow y 2) (+ 1 (/ 1 y)))) |
(* -1 (* (pow y 2) (+ 1 (/ 1 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 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))) |
(* 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))) |
1 |
(- 1 (/ 1 y)) |
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y))) |
(pow y 3) |
(* -1 (* (pow y 3) (- (/ 1 y) 1))) |
(* -1 (* (pow y 3) (- (* -1 (/ (- (/ 1 y) 1) y)) 1))) |
(* -1 (* (pow y 3) (- (* -1 (/ (- (/ 1 y) 1) y)) 1))) |
(pow y 2) |
(* (pow y 2) (- 1 (/ 1 y))) |
(* (pow y 2) (+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))) |
(* (pow y 2) (+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))) |
(* -1 (pow y 2)) |
(* -1 (* (pow y 2) (+ 1 (* 2 (/ 1 y))))) |
(* (pow y 2) (- (* -1 (/ (+ 2 (/ 1 y)) y)) 1)) |
(* (pow y 2) (- (* -1 (/ (+ 2 (/ 1 y)) y)) 1)) |
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 (pow y 2)) |
(* (pow y 2) (- (* -1 (/ (- 1 (* -1 x)) y)) 1)) |
(* (pow y 2) (- (* -1 (/ (- (+ 1 (/ x y)) (* -1 x)) y)) 1)) |
(* (pow y 2) (- (* -1 (/ (- (+ 1 (/ x y)) (* -1 x)) y)) 1)) |
(* -1 (pow y 2)) |
(* -1 (* (pow y 2) (+ 1 (/ 1 y)))) |
(* -1 (* (pow y 2) (+ 1 (/ 1 y)))) |
(* -1 (* (pow y 2) (+ 1 (/ 1 y)))) |
y |
(* -1 (* y (- (/ 1 y) 1))) |
(* -1 (* y (- (/ 1 y) 1))) |
(* -1 (* y (- (/ 1 y) 1))) |
(/ 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 |
(+ 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)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ 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 (* y (+ 1 y))) |
(- (* -1 (* x (+ 1 y))) (* y (+ 1 y))) |
(- (* -1 (* x (+ 1 y))) (* y (+ 1 y))) |
(- (* -1 (* x (+ 1 y))) (* y (+ 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 (* -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 (* -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)) |
(* -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 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))))) |
(* -1 (* x (+ 1 y))) |
(* x (- (* -1 (/ (* y (+ 1 y)) x)) (+ 1 y))) |
(* x (- (* -1 (/ (* y (+ 1 y)) x)) (+ 1 y))) |
(* x (- (* -1 (/ (* y (+ 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))))) |
(* -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))))) |
(* -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)))) |
(* -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))))) |
(/ 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 (+ 1 y))) |
(* -1 (* x (- (/ (* y (+ 1 y)) x) (* -1 (+ 1 y))))) |
(* -1 (* x (- (/ (* y (+ 1 y)) x) (* -1 (+ 1 y))))) |
(* -1 (* x (- (/ (* y (+ 1 y)) x) (* -1 (+ 1 y))))) |
| 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)) (-.f64 y #s(literal 1 binary64))) y 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 (- 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 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 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) 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 (neg.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) y x)) 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) x) y x) |
(+ 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 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.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 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 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 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x) |
y |
(* y (+ 1 (* -1 y))) |
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(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) y)) y) y) |
(* (pow y 2) (- (* -1 (/ (- (+ 1 (/ x y)) (* -1 x)) y)) 1)) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) x) y)) y) y) |
(* (pow y 2) (- (* -1 (/ (- (+ 1 (/ x y)) (* -1 x)) y)) 1)) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) x) y)) y) y) |
(* -1 (pow y 2)) |
(*.f64 (neg.f64 y) y) |
(* -1 (* (pow y 2) (+ 1 (/ 1 y)))) |
(*.f64 (-.f64 #s(literal -1 binary64) y) y) |
(* -1 (* (pow y 2) (+ 1 (/ 1 y)))) |
(*.f64 (-.f64 #s(literal -1 binary64) y) y) |
(* -1 (* (pow y 2) (+ 1 (/ 1 y)))) |
(*.f64 (-.f64 #s(literal -1 binary64) y) y) |
y |
(* -1 (* y (- (/ 1 y) 1))) |
(-.f64 y #s(literal 1 binary64)) |
(* -1 (* y (- (/ 1 y) 1))) |
(-.f64 y #s(literal 1 binary64)) |
(* -1 (* y (- (/ 1 y) 1))) |
(-.f64 y #s(literal 1 binary64)) |
(/ y (+ 1 y)) |
(/.f64 y (-.f64 y #s(literal -1 binary64))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(-.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) (/.f64 x (-.f64 #s(literal -1 binary64) y))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(-.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) (/.f64 x (-.f64 #s(literal -1 binary64) y))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(-.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) (/.f64 x (-.f64 #s(literal -1 binary64) y))) |
y |
(+ y (* x (+ 1 (* -1 y)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
(+ y (* x (+ 1 (* -1 y)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
(+ y (* x (+ 1 (* -1 y)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(/ y (+ 1 y)) |
(/.f64 y (-.f64 y #s(literal -1 binary64))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(-.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) (/.f64 x (-.f64 #s(literal -1 binary64) y))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(-.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) (/.f64 x (-.f64 #s(literal -1 binary64) y))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(-.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) (/.f64 x (-.f64 #s(literal -1 binary64) y))) |
(/ x (+ 1 y)) |
(/.f64 x (-.f64 y #s(literal -1 binary64))) |
(/ x (+ 1 y)) |
(/.f64 x (-.f64 y #s(literal -1 binary64))) |
(/ x (+ 1 y)) |
(/.f64 x (-.f64 y #s(literal -1 binary64))) |
(/ x (+ 1 y)) |
(/.f64 x (-.f64 y #s(literal -1 binary64))) |
(* x (- 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) |
(/ y (+ 1 y)) |
(/.f64 y (-.f64 y #s(literal -1 binary64))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(-.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) (/.f64 x (-.f64 #s(literal -1 binary64) y))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(-.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) (/.f64 x (-.f64 #s(literal -1 binary64) y))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(-.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) (/.f64 x (-.f64 #s(literal -1 binary64) y))) |
y |
(+ y (* x (+ 1 (* -1 y)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
(+ y (* x (+ 1 (* -1 y)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
(+ y (* x (+ 1 (* -1 y)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(/ y (+ 1 y)) |
(/.f64 y (-.f64 y #s(literal -1 binary64))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(-.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) (/.f64 x (-.f64 #s(literal -1 binary64) y))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(-.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) (/.f64 x (-.f64 #s(literal -1 binary64) y))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(-.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) (/.f64 x (-.f64 #s(literal -1 binary64) y))) |
(/ y (+ 1 y)) |
(/.f64 y (-.f64 y #s(literal -1 binary64))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(-.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) (/.f64 x (-.f64 #s(literal -1 binary64) y))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(-.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) (/.f64 x (-.f64 #s(literal -1 binary64) y))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(-.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) (/.f64 x (-.f64 #s(literal -1 binary64) y))) |
(* -1 (* y (+ 1 y))) |
(*.f64 (-.f64 #s(literal -1 binary64) y) y) |
(- (* -1 (* x (+ 1 y))) (* y (+ 1 y))) |
(*.f64 (-.f64 #s(literal -1 binary64) y) (+.f64 y x)) |
(- (* -1 (* x (+ 1 y))) (* y (+ 1 y))) |
(*.f64 (-.f64 #s(literal -1 binary64) y) (+.f64 y x)) |
(- (* -1 (* x (+ 1 y))) (* y (+ 1 y))) |
(*.f64 (-.f64 #s(literal -1 binary64) y) (+.f64 y x)) |
(/ x (+ 1 y)) |
(/.f64 x (-.f64 y #s(literal -1 binary64))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(-.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) (/.f64 x (-.f64 #s(literal -1 binary64) y))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(-.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) (/.f64 x (-.f64 #s(literal -1 binary64) y))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(-.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) (/.f64 x (-.f64 #s(literal -1 binary64) y))) |
(* x (+ 1 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) 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 y #s(literal -1 binary64))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(-.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) (/.f64 x (-.f64 #s(literal -1 binary64) y))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(-.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) (/.f64 x (-.f64 #s(literal -1 binary64) y))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(-.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) (/.f64 x (-.f64 #s(literal -1 binary64) y))) |
(/ x (+ 1 y)) |
(/.f64 x (-.f64 y #s(literal -1 binary64))) |
(/ x (+ 1 y)) |
(/.f64 x (-.f64 y #s(literal -1 binary64))) |
(/ x (+ 1 y)) |
(/.f64 x (-.f64 y #s(literal -1 binary64))) |
(/ x (+ 1 y)) |
(/.f64 x (-.f64 y #s(literal -1 binary64))) |
(* x (- 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 y #s(literal -1 binary64))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(-.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) (/.f64 x (-.f64 #s(literal -1 binary64) y))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(-.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) (/.f64 x (-.f64 #s(literal -1 binary64) y))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(-.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) (/.f64 x (-.f64 #s(literal -1 binary64) y))) |
(* x (+ 1 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) 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) |
(* -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 y #s(literal -1 binary64))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(-.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) (/.f64 x (-.f64 #s(literal -1 binary64) y))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(-.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) (/.f64 x (-.f64 #s(literal -1 binary64) y))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(-.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) (/.f64 x (-.f64 #s(literal -1 binary64) y))) |
(/ x (+ 1 y)) |
(/.f64 x (-.f64 y #s(literal -1 binary64))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(-.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) (/.f64 x (-.f64 #s(literal -1 binary64) y))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(-.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) (/.f64 x (-.f64 #s(literal -1 binary64) y))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(-.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) (/.f64 x (-.f64 #s(literal -1 binary64) y))) |
(* -1 (* x (+ 1 y))) |
(*.f64 (-.f64 #s(literal -1 binary64) y) x) |
(* x (- (* -1 (/ (* y (+ 1 y)) x)) (+ 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 (/.f64 y x) #s(literal -1 binary64))) x) |
(* x (- (* -1 (/ (* y (+ 1 y)) x)) (+ 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 (/.f64 y x) #s(literal -1 binary64))) x) |
(* x (- (* -1 (/ (* y (+ 1 y)) x)) (+ 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 (/.f64 y x) #s(literal -1 binary64))) x) |
(/ x (+ 1 y)) |
(/.f64 x (-.f64 y #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(-.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) (/.f64 x (-.f64 #s(literal -1 binary64) y))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(-.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) (/.f64 x (-.f64 #s(literal -1 binary64) y))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(-.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) (/.f64 x (-.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 y #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(-.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) (/.f64 x (-.f64 #s(literal -1 binary64) y))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(-.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) (/.f64 x (-.f64 #s(literal -1 binary64) y))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(-.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) (/.f64 x (-.f64 #s(literal -1 binary64) y))) |
(/ x (+ 1 y)) |
(/.f64 x (-.f64 y #s(literal -1 binary64))) |
(/ x (+ 1 y)) |
(/.f64 x (-.f64 y #s(literal -1 binary64))) |
(/ x (+ 1 y)) |
(/.f64 x (-.f64 y #s(literal -1 binary64))) |
(/ x (+ 1 y)) |
(/.f64 x (-.f64 y #s(literal -1 binary64))) |
(* x (- 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 y #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(-.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) (/.f64 x (-.f64 #s(literal -1 binary64) y))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(-.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) (/.f64 x (-.f64 #s(literal -1 binary64) y))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(-.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) (/.f64 x (-.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) |
(* -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 y #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(-.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) (/.f64 x (-.f64 #s(literal -1 binary64) y))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(-.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) (/.f64 x (-.f64 #s(literal -1 binary64) y))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(-.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) (/.f64 x (-.f64 #s(literal -1 binary64) y))) |
(/ x (+ 1 y)) |
(/.f64 x (-.f64 y #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(-.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) (/.f64 x (-.f64 #s(literal -1 binary64) y))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(-.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) (/.f64 x (-.f64 #s(literal -1 binary64) y))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(-.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) (/.f64 x (-.f64 #s(literal -1 binary64) y))) |
(* -1 (* x (+ 1 y))) |
(*.f64 (-.f64 #s(literal -1 binary64) y) x) |
(* -1 (* x (- (/ (* y (+ 1 y)) x) (* -1 (+ 1 y))))) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 (/.f64 y x) #s(literal -1 binary64))) x) |
(* -1 (* x (- (/ (* y (+ 1 y)) x) (* -1 (+ 1 y))))) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 (/.f64 y x) #s(literal -1 binary64))) x) |
(* -1 (* x (- (/ (* y (+ 1 y)) x) (* -1 (+ 1 y))))) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 (/.f64 y x) #s(literal -1 binary64))) x) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 214 |
| 0 | 56 | 206 |
| 1 | 245 | 200 |
| 2 | 1993 | 199 |
| 0 | 8841 | 199 |
| 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)) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x)) |
(fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x) |
#s(approx (- 1 x) (neg.f64 x)) |
(neg.f64 x) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y))) |
#s(approx (/ y (+ 1 y)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y)) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal -1 binary64) y) (+.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(approx (- (* 0 (+ 1 y)) (* (- -1 y) (neg (+ y x)))) (*.f64 (-.f64 #s(literal -1 binary64) y) y)) (*.f64 (-.f64 #s(literal -1 binary64) y) (+.f64 #s(literal 1 binary64) y))) |
#s(approx (- (* 0 (+ 1 y)) (* (- -1 y) (neg (+ y x)))) (*.f64 (-.f64 #s(literal -1 binary64) y) y)) |
(*.f64 (-.f64 #s(literal -1 binary64) y) y) |
(-.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> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
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Compiled 24 195 to 3 021 computations (87.5% saved)
14 alts after pruning (7 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 055 | 4 | 1 059 |
| Fresh | 0 | 3 | 3 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 057 | 14 | 1 071 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| ▶ | 48.6% | #s(approx (/ (- (* 0 (+ 1 y)) (* (- -1 y) (neg (+ y x)))) (* (- -1 y) (+ 1 y))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
| ✓ | 38.7% | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x)) |
| ✓ | 52.8% | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
| ✓ | 51.2% | #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
| ✓ | 49.0% | #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
| 15.5% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y y))) | |
| ▶ | 15.0% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) |
| ▶ | 2.9% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) (*.f64 y y)) y))) |
| ▶ | 15.6% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) y))) |
| 12.6% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) | |
| ✓ | 38.7% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))) |
| ▶ | 39.0% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) |
| ✓ | 38.5% | #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) |
Compiled 141 to 137 computations (2.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (+ (* (- y 1) y) 1) (*.f64 y y)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (- y 1) y) 1) (*.f64 y y)) y) | |
| cost-diff | 0 | #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) (*.f64 y y)) y)) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) (*.f64 y y)) y))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(literal 1 binary64) y) y) | |
| cost-diff | 0 | #s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) | |
| cost-diff | 0 | #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) y) | |
| cost-diff | 0 | #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) y)) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) y))) | |
| cost-diff | 0 | #s(approx (- 1 y) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) | |
| cost-diff | 0 | #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) x) y) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) | |
| cost-diff | 0 | #s(approx (/ (- (* 0 (+ 1 y)) (* (- -1 y) (neg (+ y x)))) (* (- -1 y) (+ 1 y))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 274 |
| 0 | 53 | 270 |
| 1 | 106 | 267 |
| 2 | 241 | 259 |
| 3 | 1012 | 259 |
| 4 | 3231 | 259 |
| 5 | 7325 | 259 |
| 0 | 8089 | 251 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (* 0 (+ 1 y)) (* (- -1 y) (neg (+ y x)))) (* (- -1 y) (+ 1 y))) (-.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)) #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) |
#s(approx (/ x (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) |
(*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) |
#s(approx (- 1 y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
x |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) y))) |
#s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) y)) |
(*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) y) |
#s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
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)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) y) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) (*.f64 y y)) y))) |
#s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) (*.f64 y y)) y)) |
(*.f64 #s(approx (+ (* (- y 1) y) 1) (*.f64 y y)) y) |
#s(approx (+ (* (- y 1) y) 1) (*.f64 y y)) |
(*.f64 y y) |
y |
| Outputs |
|---|
#s(approx (/ (- (* 0 (+ 1 y)) (* (- -1 y) (neg (+ y x)))) (* (- -1 y) (+ 1 y))) (-.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)) #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) |
#s(approx (/ (- (* 0 (+ 1 y)) (* (- -1 y) (neg (+ y x)))) (* (- -1 y) (+ 1 y))) #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) |
#s(approx (/ x (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) |
(*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) |
#s(approx (- 1 y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
x |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) y))) |
#s(approx (/ (- (* 0 (+ 1 y)) (* (- -1 y) (neg (+ y x)))) (* (- -1 y) (+ 1 y))) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) y))) |
#s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) y)) |
(*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) y) |
#s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
y |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) |
#s(approx (/ (- (* 0 (+ 1 y)) (* (- -1 y) (neg (+ y x)))) (* (- -1 y) (+ 1 y))) #s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) |
#s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) y) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) (*.f64 y y)) y))) |
#s(approx (/ (- (* 0 (+ 1 y)) (* (- -1 y) (neg (+ y x)))) (* (- -1 y) (+ 1 y))) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) (*.f64 y y)) y))) |
#s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) (*.f64 y y)) y)) |
(*.f64 #s(approx (+ (* (- y 1) y) 1) (*.f64 y y)) y) |
#s(approx (+ (* (- y 1) y) 1) (*.f64 y y)) |
(*.f64 y y) |
y |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.05859375 | (*.f64 #s(approx (+ (* (- y 1) y) 1) (*.f64 y y)) y) | |
| accuracy | 30.05176131184589 | #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) (*.f64 y y)) y)) | |
| accuracy | 31.214832167930997 | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) (*.f64 y y)) y))) | |
| accuracy | 32.58078104655437 | #s(approx (+ (* (- y 1) y) 1) (*.f64 y y)) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.015625 | (*.f64 (-.f64 #s(literal 1 binary64) y) y) | |
| accuracy | 30.558799714397615 | #s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)) | |
| accuracy | 31.214832167930997 | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) | |
| accuracy | 0.05859375 | (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) y) | |
| accuracy | 29.844077063150422 | #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) | |
| accuracy | 30.05176131184589 | #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) y)) | |
| accuracy | 31.214832167930997 | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) y))) | |
| accuracy | 0.01171875 | (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) | |
| accuracy | 30.13490589726293 | #s(approx (- 1 y) #s(literal 1 binary64)) | |
| accuracy | 30.186246495672446 | #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) | |
| accuracy | 32.638547179093024 | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.0078125 | (/.f64 (-.f64 #s(literal 1 binary64) x) y) | |
| accuracy | 32.92152493941154 | #s(approx (/ (- (* 0 (+ 1 y)) (* (- -1 y) (neg (+ y x)))) (* (- -1 y) (+ 1 y))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
| 70.0ms | 256× | 0 | valid |
Compiled 148 to 32 computations (78.4% saved)
ival-add: 29.0ms (52% of total)ival-mult: 11.0ms (19.7% of total)ival-div: 7.0ms (12.5% of total)ival-sub: 7.0ms (12.5% of total)ival-neg: 1.0ms (1.8% 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 (/ (- (* 0 (+ 1 y)) (* (- -1 y) (neg (+ y x)))) (* (- -1 y) (+ 1 y))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (patch #s(approx (/ (- (* 0 (+ 1 y)) (* (- -1 y) (neg (+ y x)))) (* (- -1 y) (+ 1 y))) (-.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 #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) (patch #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 y) #s(literal 1 binary64)) (patch #s(approx (- 1 y) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) y))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) y)) (patch #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) y) (patch (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) y) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)) (patch #s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) 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)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) (*.f64 y y)) y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) (*.f64 y y)) y))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) (*.f64 y y)) y)) (patch #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) (*.f64 y y)) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (+ (* (- y 1) y) 1) (*.f64 y y)) y) (patch (*.f64 #s(approx (+ (* (- y 1) y) 1) (*.f64 y y)) y) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (- y 1) y) 1) (*.f64 y y)) (patch #s(approx (+ (* (- y 1) y) 1) (*.f64 y y)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ (- (* 0 (+ 1 y)) (* (- -1 y) (neg (+ y x)))) (* (- -1 y) (+ 1 y))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (patch #s(approx (/ (- (* 0 (+ 1 y)) (* (- -1 y) (neg (+ y x)))) (* (- -1 y) (+ 1 y))) (-.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 (/ (- (* 0 (+ 1 y)) (* (- -1 y) (neg (+ y x)))) (* (- -1 y) (+ 1 y))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (patch #s(approx (/ (- (* 0 (+ 1 y)) (* (- -1 y) (neg (+ y x)))) (* (- -1 y) (+ 1 y))) (-.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 (/ (- (* 0 (+ 1 y)) (* (- -1 y) (neg (+ y x)))) (* (- -1 y) (+ 1 y))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (patch #s(approx (/ (- (* 0 (+ 1 y)) (* (- -1 y) (neg (+ y x)))) (* (- -1 y) (+ 1 y))) (-.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 (/ (- (* 0 (+ 1 y)) (* (- -1 y) (neg (+ y x)))) (* (- -1 y) (+ 1 y))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (patch #s(approx (/ (- (* 0 (+ 1 y)) (* (- -1 y) (neg (+ y x)))) (* (- -1 y) (+ 1 y))) (-.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 x (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) 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 #s(approx (- 1 y) #s(literal 1 binary64)) x))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) 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 #s(approx (- 1 y) #s(literal 1 binary64)) x))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) 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)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) (patch #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x y))) (taylor 0 y) (#s(alt #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) (patch #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (* x y) x))) (taylor 0 y) (#s(alt #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) (patch #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))) (taylor 0 y) (#s(alt #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) (patch #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x y))) (taylor 0 y) (#s(alt (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x y))) (taylor 0 y) (#s(alt (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x y))) (taylor 0 y) (#s(alt (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (- 1 y) #s(literal 1 binary64)) (patch #s(approx (- 1 y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- 1 y) #s(literal 1 binary64)) (patch #s(approx (- 1 y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- 1 y) #s(literal 1 binary64)) (patch #s(approx (- 1 y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- 1 y) #s(literal 1 binary64)) (patch #s(approx (- 1 y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #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)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #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)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 y) (#s(alt #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) y)) (patch #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1 y))) (taylor 0 y) (#s(alt #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) y)) (patch #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* y (- y 1)))) (taylor 0 y) (#s(alt #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) y)) (patch #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))) (taylor 0 y) (#s(alt #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) y)) (patch #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 y) (#s(alt (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) y) (patch (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1 y))) (taylor 0 y) (#s(alt (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) y) (patch (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) y) #<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)) #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) (patch #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) (patch #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) (patch #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) (patch #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (- 1 y) #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 (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #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)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #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)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #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)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) 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)) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) 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)) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) 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)) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) (*.f64 y y)) y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) (*.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)) (*.f64 #s(approx (+ (* (- y 1) y) 1) (*.f64 y y)) y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) (*.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)) (*.f64 #s(approx (+ (* (- y 1) y) 1) (*.f64 y y)) y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) (*.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)) (*.f64 #s(approx (+ (* (- y 1) y) 1) (*.f64 y y)) y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) (*.f64 y y)) y))) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | ((/ (- (* 0 (+ 1 y)) (* (- -1 y) (neg (+ y x)))) (* (- -1 y) (+ 1 y))) (- 1 (/ (- 1 x) y)) (/ (- 1 x) y) (- 1 x) (/ (+ x y) (+ y 1)) (/ x (+ 1 y)) (* (- 1 y) x) (- 1 y) (/ (+ x y) (+ y 1)) (/ y (+ 1 y)) (* (+ (* (- y 1) y) 1) y) (+ (* (- y 1) y) 1) (/ (+ x y) (+ y 1)) (/ y (+ 1 y)) (* (- 1 y) y) (- 1 y) (/ (+ x y) (+ y 1)) (/ y (+ 1 y)) (* (+ (* (- y 1) y) 1) y) (+ (* (- y 1) y) 1)) |
| 1.0ms | x | @ | inf | ((/ (- (* 0 (+ 1 y)) (* (- -1 y) (neg (+ y x)))) (* (- -1 y) (+ 1 y))) (- 1 (/ (- 1 x) y)) (/ (- 1 x) y) (- 1 x) (/ (+ x y) (+ y 1)) (/ x (+ 1 y)) (* (- 1 y) x) (- 1 y) (/ (+ x y) (+ y 1)) (/ y (+ 1 y)) (* (+ (* (- y 1) y) 1) y) (+ (* (- y 1) y) 1) (/ (+ x y) (+ y 1)) (/ y (+ 1 y)) (* (- 1 y) y) (- 1 y) (/ (+ x y) (+ y 1)) (/ y (+ 1 y)) (* (+ (* (- y 1) y) 1) y) (+ (* (- y 1) y) 1)) |
| 1.0ms | y | @ | -inf | ((/ (- (* 0 (+ 1 y)) (* (- -1 y) (neg (+ y x)))) (* (- -1 y) (+ 1 y))) (- 1 (/ (- 1 x) y)) (/ (- 1 x) y) (- 1 x) (/ (+ x y) (+ y 1)) (/ x (+ 1 y)) (* (- 1 y) x) (- 1 y) (/ (+ x y) (+ y 1)) (/ y (+ 1 y)) (* (+ (* (- y 1) y) 1) y) (+ (* (- y 1) y) 1) (/ (+ x y) (+ y 1)) (/ y (+ 1 y)) (* (- 1 y) y) (- 1 y) (/ (+ x y) (+ y 1)) (/ y (+ 1 y)) (* (+ (* (- y 1) y) 1) y) (+ (* (- y 1) y) 1)) |
| 1.0ms | x | @ | 0 | ((/ (- (* 0 (+ 1 y)) (* (- -1 y) (neg (+ y x)))) (* (- -1 y) (+ 1 y))) (- 1 (/ (- 1 x) y)) (/ (- 1 x) y) (- 1 x) (/ (+ x y) (+ y 1)) (/ x (+ 1 y)) (* (- 1 y) x) (- 1 y) (/ (+ x y) (+ y 1)) (/ y (+ 1 y)) (* (+ (* (- y 1) y) 1) y) (+ (* (- y 1) y) 1) (/ (+ x y) (+ y 1)) (/ y (+ 1 y)) (* (- 1 y) y) (- 1 y) (/ (+ x y) (+ y 1)) (/ y (+ 1 y)) (* (+ (* (- y 1) y) 1) y) (+ (* (- y 1) y) 1)) |
| 1.0ms | y | @ | 0 | ((/ (- (* 0 (+ 1 y)) (* (- -1 y) (neg (+ y x)))) (* (- -1 y) (+ 1 y))) (- 1 (/ (- 1 x) y)) (/ (- 1 x) y) (- 1 x) (/ (+ x y) (+ y 1)) (/ x (+ 1 y)) (* (- 1 y) x) (- 1 y) (/ (+ x y) (+ y 1)) (/ y (+ 1 y)) (* (+ (* (- y 1) y) 1) y) (+ (* (- y 1) y) 1) (/ (+ x y) (+ y 1)) (/ y (+ 1 y)) (* (- 1 y) y) (- 1 y) (/ (+ x y) (+ y 1)) (/ y (+ 1 y)) (* (+ (* (- y 1) y) 1) y) (+ (* (- y 1) y) 1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 194 | 2626 |
| 1 | 576 | 2528 |
| 2 | 1515 | 2446 |
| 3 | 5424 | 2428 |
| 0 | 8236 | 2361 |
| 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 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 |
(+ 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 (* y (- y 1)))) |
(* y (+ 1 (* y (- y 1)))) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* y (- y 1))) |
(+ 1 (* y (- y 1))) |
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 |
(+ 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 (* y (- y 1)))) |
(* y (+ 1 (* y (- y 1)))) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* y (- y 1))) |
(+ 1 (* y (- 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 (/ 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) |
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)))) |
(pow y 3) |
(* (pow y 3) (- 1 (/ 1 y))) |
(* (pow y 3) (- (+ 1 (/ 1 (pow y 2))) (/ 1 y))) |
(* (pow y 3) (- (+ 1 (/ 1 (pow y 2))) (/ 1 y))) |
(pow y 2) |
(* (pow y 2) (- 1 (/ 1 y))) |
(* (pow y 2) (- (+ 1 (/ 1 (pow y 2))) (/ 1 y))) |
(* (pow y 2) (- (+ 1 (/ 1 (pow y 2))) (/ 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 (/ 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) |
(* 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)))) |
(pow y 3) |
(* (pow y 3) (- 1 (/ 1 y))) |
(* (pow y 3) (- (+ 1 (/ 1 (pow y 2))) (/ 1 y))) |
(* (pow y 3) (- (+ 1 (/ 1 (pow y 2))) (/ 1 y))) |
(pow y 2) |
(* (pow y 2) (- 1 (/ 1 y))) |
(* (pow y 2) (- (+ 1 (/ 1 (pow y 2))) (/ 1 y))) |
(* (pow y 2) (- (+ 1 (/ 1 (pow y 2))) (/ 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 |
(+ 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) |
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))) |
(pow y 3) |
(* -1 (* (pow y 3) (- (/ 1 y) 1))) |
(* -1 (* (pow y 3) (- (* -1 (/ (- (/ 1 y) 1) y)) 1))) |
(* -1 (* (pow y 3) (- (* -1 (/ (- (/ 1 y) 1) y)) 1))) |
(pow y 2) |
(* (pow y 2) (- 1 (/ 1 y))) |
(* (pow y 2) (+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))) |
(* (pow y 2) (+ 1 (* -1 (/ (- 1 (/ 1 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))) |
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 (/ 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))) |
(pow y 3) |
(* -1 (* (pow y 3) (- (/ 1 y) 1))) |
(* -1 (* (pow y 3) (- (* -1 (/ (- (/ 1 y) 1) y)) 1))) |
(* -1 (* (pow y 3) (- (* -1 (/ (- (/ 1 y) 1) y)) 1))) |
(pow y 2) |
(* (pow y 2) (- 1 (/ 1 y))) |
(* (pow y 2) (+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))) |
(* (pow y 2) (+ 1 (* -1 (/ (- 1 (/ 1 y)) 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)) |
(/ 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))) |
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(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
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(+ (/ 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 (+ 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)) |
(* 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 (+ 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 (* 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 (+ 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 (+ 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))))) |
| 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) x) (-.f64 #s(literal 1 binary64) y)) y 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 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 |
(+ 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) x) (-.f64 #s(literal 1 binary64) y)) y 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 (* -1 (* x y))) |
(fma.f64 (neg.f64 x) y x) |
(+ x (* y (- (* x y) x))) |
(fma.f64 (-.f64 (*.f64 y x) x) y x) |
(+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 (neg.f64 x) y x)) |
x |
(+ x (* -1 (* x y))) |
(fma.f64 (neg.f64 x) y x) |
(+ x (* -1 (* x y))) |
(fma.f64 (neg.f64 x) y x) |
(+ x (* -1 (* x y))) |
(fma.f64 (neg.f64 x) 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) x) y x) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) y 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) |
y |
(* y (+ 1 (* -1 y))) |
(fma.f64 (neg.f64 y) y y) |
(* y (+ 1 (* y (- y 1)))) |
(*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) y) |
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))) |
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y)) y) |
y |
(* y (+ 1 (* -1 y))) |
(fma.f64 (neg.f64 y) y y) |
(* y (+ 1 (* y (- y 1)))) |
(*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) y) |
(* y (+ 1 (* y (- y 1)))) |
(*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* y (- y 1))) |
(fma.f64 y y (-.f64 #s(literal 1 binary64) y)) |
(+ 1 (* y (- y 1))) |
(fma.f64 y 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) x) (-.f64 #s(literal 1 binary64) y)) y 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) |
y |
(* y (+ 1 (* -1 y))) |
(fma.f64 (neg.f64 y) y y) |
(* y (+ 1 (* y (- y 1)))) |
(*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) y) |
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))) |
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y)) y) |
y |
(* y (+ 1 (* -1 y))) |
(fma.f64 (neg.f64 y) y y) |
(* y (+ 1 (* -1 y))) |
(fma.f64 (neg.f64 y) y y) |
(* y (+ 1 (* -1 y))) |
(fma.f64 (neg.f64 y) y y) |
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) x) y x) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) y 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) |
y |
(* y (+ 1 (* -1 y))) |
(fma.f64 (neg.f64 y) y y) |
(* y (+ 1 (* y (- y 1)))) |
(*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) y) |
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))) |
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y)) y) |
y |
(* y (+ 1 (* -1 y))) |
(fma.f64 (neg.f64 y) y y) |
(* y (+ 1 (* y (- y 1)))) |
(*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) y) |
(* y (+ 1 (* y (- y 1)))) |
(*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* y (- y 1))) |
(fma.f64 y y (-.f64 #s(literal 1 binary64) y)) |
(+ 1 (* y (- y 1))) |
(fma.f64 y 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 (fma.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal -1 binary64)) (/.f64 x y)) #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 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 x y)) (fma.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal -1 binary64)) (/.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 (/ x y)) (/ 1 y)) |
(-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal -1 binary64)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal -1 binary64)) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- 1 x) y) |
(/.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 |
#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 (fma.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal -1 binary64)) (/.f64 x y)) #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 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 x y)) (fma.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal -1 binary64)) (/.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))) |
(fma.f64 (neg.f64 x) y x) |
(* y (+ (* -1 x) (/ x y))) |
(fma.f64 (neg.f64 x) y x) |
(* y (+ (* -1 x) (/ x y))) |
(fma.f64 (neg.f64 x) 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 x #s(literal 1 binary64)) y) #s(literal -1 binary64)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) |
(+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal -1 binary64)) (/.f64 x y)) #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 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 x y)) (fma.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal -1 binary64)) (/.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 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y) #s(literal 1 binary64))) |
(pow y 3) |
(pow.f64 y #s(literal 3 binary64)) |
(* (pow y 3) (- 1 (/ 1 y))) |
(fma.f64 (neg.f64 y) y (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 3) (- (+ 1 (/ 1 (pow y 2))) (/ 1 y))) |
(*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) y) |
(* (pow y 3) (- (+ 1 (/ 1 (pow y 2))) (/ 1 y))) |
(*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) y) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (- 1 (/ 1 y))) |
(fma.f64 y y (neg.f64 y)) |
(* (pow y 2) (- (+ 1 (/ 1 (pow y 2))) (/ 1 y))) |
(fma.f64 y y (-.f64 #s(literal 1 binary64) y)) |
(* (pow y 2) (- (+ 1 (/ 1 (pow y 2))) (/ 1 y))) |
(fma.f64 y 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 (fma.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal -1 binary64)) (/.f64 x y)) #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 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 x y)) (fma.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal -1 binary64)) (/.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 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y) #s(literal 1 binary64))) |
(* -1 (pow y 2)) |
(*.f64 (neg.f64 y) y) |
(* (pow y 2) (- (/ 1 y) 1)) |
(fma.f64 (neg.f64 y) y y) |
(* (pow y 2) (- (/ 1 y) 1)) |
(fma.f64 (neg.f64 y) y y) |
(* (pow y 2) (- (/ 1 y) 1)) |
(fma.f64 (neg.f64 y) y y) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
1 |
#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 (fma.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal -1 binary64)) (/.f64 x y)) #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 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 x y)) (fma.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal -1 binary64)) (/.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 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y) #s(literal 1 binary64))) |
(pow y 3) |
(pow.f64 y #s(literal 3 binary64)) |
(* (pow y 3) (- 1 (/ 1 y))) |
(fma.f64 (neg.f64 y) y (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 3) (- (+ 1 (/ 1 (pow y 2))) (/ 1 y))) |
(*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) y) |
(* (pow y 3) (- (+ 1 (/ 1 (pow y 2))) (/ 1 y))) |
(*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) y) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (- 1 (/ 1 y))) |
(fma.f64 y y (neg.f64 y)) |
(* (pow y 2) (- (+ 1 (/ 1 (pow y 2))) (/ 1 y))) |
(fma.f64 y y (-.f64 #s(literal 1 binary64) y)) |
(* (pow y 2) (- (+ 1 (/ 1 (pow y 2))) (/ 1 y))) |
(fma.f64 y 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 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) |
(fma.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) y))) |
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(/.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)) |
(fma.f64 (neg.f64 x) y x) |
(* x (- 1 y)) |
(fma.f64 (neg.f64 x) y x) |
(* x (- 1 y)) |
(fma.f64 (neg.f64 x) y x) |
(* x (- 1 y)) |
(fma.f64 (neg.f64 x) 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 (/.f64 y x) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.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))))) |
(*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.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))))) |
(*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 261 |
| 0 | 53 | 257 |
| 1 | 240 | 254 |
| 2 | 2080 | 253 |
| 0 | 8450 | 245 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (* 0 (+ 1 y)) (* (- -1 y) (neg (+ y x)))) (* (- -1 y) (+ 1 y))) (-.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) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) |
#s(approx (/ x (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) |
(*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) |
#s(approx (- 1 y) #s(literal 1 binary64)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) y))) |
#s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) y)) |
(*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) y) |
#s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) |
#s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) y) |
(-.f64 #s(literal 1 binary64) y) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) (*.f64 y y)) y))) |
#s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) (*.f64 y y)) y)) |
(*.f64 #s(approx (+ (* (- y 1) y) 1) (*.f64 y y)) y) |
#s(approx (+ (* (- y 1) y) 1) (*.f64 y y)) |
| Outputs |
|---|
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Compiled 6 373 to 1 028 computations (83.9% saved)
15 alts after pruning (5 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 524 | 4 | 528 |
| Fresh | 1 | 1 | 2 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 7 | 7 |
| Total | 527 | 15 | 542 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| 48.9% | #s(approx (/ (- (* 0 (+ 1 y)) (* (- -1 y) (neg (+ y x)))) (* (- -1 y) (+ 1 y))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))) | |
| 12.6% | #s(approx (/ (- (* 0 (+ 1 y)) (* (- -1 y) (neg (+ y x)))) (* (- -1 y) (+ 1 y))) #s(approx (- 1 (/ (- 1 x) y)) (/.f64 x y))) | |
| ✓ | 38.7% | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x)) |
| ✓ | 52.8% | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
| ✓ | 51.2% | #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
| ✓ | 49.0% | #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
| 15.5% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y y))) | |
| 15.0% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (fma.f64 (neg.f64 y) y y))) | |
| 2.4% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y))) | |
| ✓ | 2.9% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) (*.f64 y y)) y))) |
| ✓ | 15.6% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) y))) |
| ✓ | 38.7% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))) |
| ✓ | 39.0% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) |
| ✓ | 38.5% | #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) |
Compiled 293 to 184 computations (37.2% 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)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) y))) |
#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)) (*.f64 #s(approx (- 1 y) (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 (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) |
#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 #s(approx (- 1 x) (neg.f64 x)) y x)) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) (*.f64 y y)) y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) |
#s(approx (/ (- (* 0 (+ 1 y)) (* (- -1 y) (neg (+ y x)))) (* (- -1 y) (+ 1 y))) #s(approx (- 1 (/ (- 1 x) y)) (/.f64 x y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y y))) |
#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 (/ (- (* 0 (+ 1 y)) (* (- -1 y) (neg (+ y x)))) (* (- -1 y) (+ 1 y))) (-.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 (/ (- (* 0 (+ 1 y)) (* (- -1 y) (neg (+ y x)))) (* (- -1 y) (+ 1 y))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(/.f64 (+.f64 x y) (+.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 #s(approx (- (* 0 (+ 1 y)) (* (- -1 y) (neg (+ y x)))) (*.f64 (-.f64 #s(literal -1 binary64) y) y)) (*.f64 (-.f64 #s(literal -1 binary64) y) (+.f64 #s(literal 1 binary64) y))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 #s(literal -1 binary64) y) (neg.f64 (+.f64 y x)))) (*.f64 (-.f64 #s(literal -1 binary64) y) (+.f64 #s(literal 1 binary64) y))) |
| Outputs |
|---|
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
3 calls:
| 9.0ms | y |
| 7.0ms | x |
| 7.0ms | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| 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)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) y))) |
#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)) (*.f64 #s(approx (- 1 y) (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 (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) |
#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 #s(approx (- 1 x) (neg.f64 x)) y x)) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) (*.f64 y y)) y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) |
#s(approx (/ (- (* 0 (+ 1 y)) (* (- -1 y) (neg (+ y x)))) (* (- -1 y) (+ 1 y))) #s(approx (- 1 (/ (- 1 x) y)) (/.f64 x y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y y))) |
#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 (/ (- (* 0 (+ 1 y)) (* (- -1 y) (neg (+ y x)))) (* (- -1 y) (+ 1 y))) (-.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 (/ (- (* 0 (+ 1 y)) (* (- -1 y) (neg (+ y x)))) (* (- -1 y) (+ 1 y))) (-.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))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
3 calls:
| 42.0ms | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| 7.0ms | x |
| 7.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.7% | 3 | x |
| 98.8% | 3 | y |
| 99.4% | 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)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) y))) |
#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)) (*.f64 #s(approx (- 1 y) (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 (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) |
#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 #s(approx (- 1 x) (neg.f64 x)) y x)) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) (*.f64 y y)) y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) |
#s(approx (/ (- (* 0 (+ 1 y)) (* (- -1 y) (neg (+ y x)))) (* (- -1 y) (+ 1 y))) #s(approx (- 1 (/ (- 1 x) y)) (/.f64 x y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y y))) |
#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 (/ (- (* 0 (+ 1 y)) (* (- -1 y) (neg (+ y x)))) (* (- -1 y) (+ 1 y))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))) |
| Outputs |
|---|
#s(approx (/ (- (* 0 (+ 1 y)) (* (- -1 y) (neg (+ y x)))) (* (- -1 y) (+ 1 y))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
#s(approx (/ (- (* 0 (+ 1 y)) (* (- -1 y) (neg (+ y x)))) (* (- -1 y) (+ 1 y))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))) |
1 calls:
| 22.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 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)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) y))) |
#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)) (*.f64 #s(approx (- 1 y) (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 (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) |
#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 #s(approx (- 1 x) (neg.f64 x)) y x)) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) (*.f64 y y)) y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) |
#s(approx (/ (- (* 0 (+ 1 y)) (* (- -1 y) (neg (+ y x)))) (* (- -1 y) (+ 1 y))) #s(approx (- 1 (/ (- 1 x) y)) (/.f64 x y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y y))) |
#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))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
#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:
| 8.0ms | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| 6.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 4 | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| 88.6% | 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))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) y))) |
#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)) (*.f64 #s(approx (- 1 y) (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 (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) |
#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 #s(approx (- 1 x) (neg.f64 x)) y x)) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) (*.f64 y y)) y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) |
#s(approx (/ (- (* 0 (+ 1 y)) (* (- -1 y) (neg (+ y x)))) (* (- -1 y) (+ 1 y))) #s(approx (- 1 (/ (- 1 x) y)) (/.f64 x y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y y))) |
#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))) |
#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)) |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
1 calls:
| 5.0ms | (/.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)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) y))) |
#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)) (*.f64 #s(approx (- 1 y) (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 (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) |
#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 #s(approx (- 1 x) (neg.f64 x)) y x)) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) (*.f64 y y)) y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) |
#s(approx (/ (- (* 0 (+ 1 y)) (* (- -1 y) (neg (+ y x)))) (* (- -1 y) (+ 1 y))) #s(approx (- 1 (/ (- 1 x) y)) (/.f64 x y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y 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)) |
2 calls:
| 8.0ms | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| 5.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.3% | 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)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) y))) |
#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)) (*.f64 #s(approx (- 1 y) (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 (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) |
#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 #s(approx (- 1 x) (neg.f64 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)) #s(literal 1 binary64)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))) |
2 calls:
| 3.0ms | y |
| 3.0ms | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.1% | 3 | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| 88.0% | 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)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) y))) |
#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)) (*.f64 #s(approx (- 1 y) (neg.f64 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:
| 2.0ms | y |
| 2.0ms | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.0% | 3 | y |
| 88.0% | 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)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) y))) |
| Outputs |
|---|
#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(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) y))) |
#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))) |
3 calls:
| 79.0ms | y |
| 2.0ms | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.0% | 3 | x |
| 78.0% | 4 | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| 73.9% | 3 | y |
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))) |
| Outputs |
|---|
#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(approx (/ x (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) |
1 calls:
| 2.0ms | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.0% | 3 | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
Compiled 7 to 6 computations (14.3% 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 |
|---|---|---|
| 38.5% | 1 | x |
| 38.5% | 1 | y |
| 38.5% | 1 | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
Compiled 9 to 10 computations (-11.1% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 8.659615295327621e-8 | 6558.949534508473 |
| 14.0ms | -25092.215157783907 | -1.7046772647654873e-7 |
| 16.0ms | 320× | 0 | valid |
Compiled 310 to 311 computations (-0.3% saved)
ival-add: 3.0ms (51.1% of total)ival-div: 2.0ms (34% 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 |
|---|---|---|
| 5.0ms | 8.659615295327621e-8 | 6558.949534508473 |
| 1.0ms | -25092.215157783907 | -1.7046772647654873e-7 |
| 2.0ms | 48× | 0 | valid |
Compiled 310 to 331 computations (-6.8% 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 | 1.0000278839499943 | 1128.3730146596893 |
| 0.0ms | 7.828620300755234e-26 | 2.1585651054901996e-18 |
| 0.0ms | -445047856866.45447 | -344040926197.08813 |
Compiled 10 to 11 computations (-10% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0000278839499943 | 1128.3730146596893 |
| 0.0ms | 8.659614545438316e-8 | 0.9999948906430824 |
| 0.0ms | -445047856866.45447 | -344040926197.08813 |
Compiled 10 to 11 computations (-10% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 8.659615295327621e-8 | 6558.949534508473 |
| 1.0ms | -25092.215157783907 | -1.7046772647654873e-7 |
Compiled 190 to 251 computations (-32.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 92358373460.97241 | 1453193035114.602 |
| 0.0ms | 8.659614545438316e-8 | 0.9999948906430824 |
Compiled 10 to 11 computations (-10% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 28.0ms | 6558.949534508473 | 900313.2044312202 |
| 1.0ms | -25092.215157783907 | -1.7046772647654873e-7 |
| 24.0ms | 112× | 0 | valid |
Compiled 146 to 215 computations (-47.3% saved)
ival-add: 20.0ms (94.5% of total)ival-div: 1.0ms (4.7% of total)ival-true: 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 | 92358373460.97241 | 1453193035114.602 |
| 0.0ms | 8.659614545438316e-8 | 0.9999948906430824 |
| 0.0ms | 3.237884065623727e-229 | 2.966491617135561e-211 |
Compiled 10 to 11 computations (-10% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 92358373460.97241 | 1453193035114.602 |
| 0.0ms | 7.828620300755234e-26 | 2.1585651054901996e-18 |
Compiled 10 to 11 computations (-10% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 97 | 645 |
| 1 | 113 | 645 |
| 2 | 131 | 645 |
| 3 | 146 | 645 |
| 4 | 169 | 645 |
| 5 | 209 | 645 |
| 6 | 244 | 645 |
| 7 | 285 | 645 |
| 8 | 336 | 645 |
| 9 | 400 | 645 |
| 10 | 464 | 645 |
| 11 | 521 | 645 |
| 12 | 564 | 645 |
| 13 | 583 | 645 |
| 14 | 586 | 645 |
| 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 #s(literal 1 binary64) x) y 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 (/ (- (* 0 (+ 1 y)) (* (- -1 y) (neg (+ y x)))) (* (- -1 y) (+ 1 y))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))) (if (<=.f64 y #s(literal 7656119366529843/9007199254740992 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) #s(approx (/ (- (* 0 (+ 1 y)) (* (- -1 y) (neg (+ y x)))) (* (- -1 y) (+ 1 y))) (-.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 -400000000000 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 8711228593176025/87112285931760246646623899502532662132736 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) (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 -400000000000 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 944473296573929/9444732965739290427392 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) (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)) #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 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 944473296573929/9444732965739290427392 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 100000000000 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 6600 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 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 6828046779268971/13656093558537941553315536467397135968552465044102979912491535998492748263050510482475893147384943187441520456895351276433180265787636459684584153195173539934402882722844701815732384329547395122644920353046295760858502651980751792724303620866048 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 944473296573929/9444732965739290427392 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) y))) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 100000000000 binary64)) #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)))))) |
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 8711228593176025/87112285931760246646623899502532662132736 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 100000000000 binary64)) #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)) |
| 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 #s(literal 1 binary64) x) y 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 (/ (- (* 0 (+ 1 y)) (* (- -1 y) (neg (+ y x)))) (* (- -1 y) (+ 1 y))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))) (if (<=.f64 y #s(literal 7656119366529843/9007199254740992 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) #s(approx (/ (- (* 0 (+ 1 y)) (* (- -1 y) (neg (+ y x)))) (* (- -1 y) (+ 1 y))) (-.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 -400000000000 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 8711228593176025/87112285931760246646623899502532662132736 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) (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 -400000000000 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 8711228593176025/87112285931760246646623899502532662132736 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) (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 -400000000000 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 944473296573929/9444732965739290427392 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) (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 -400000000000 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 944473296573929/9444732965739290427392 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) (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)) #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 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 944473296573929/9444732965739290427392 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 100000000000 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))))) |
(if (<=.f64 (/.f64 (+.f64 y x) (-.f64 y #s(literal -1 binary64))) #s(literal 944473296573929/9444732965739290427392 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) (if (<=.f64 (/.f64 (+.f64 y x) (-.f64 y #s(literal -1 binary64))) #s(literal 100000000000 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 6600 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 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 6828046779268971/13656093558537941553315536467397135968552465044102979912491535998492748263050510482475893147384943187441520456895351276433180265787636459684584153195173539934402882722844701815732384329547395122644920353046295760858502651980751792724303620866048 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 944473296573929/9444732965739290427392 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) y))) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 100000000000 binary64)) #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)))))) |
(if (<=.f64 (/.f64 (+.f64 y x) (-.f64 y #s(literal -1 binary64))) #s(literal 6828046779268971/13656093558537941553315536467397135968552465044102979912491535998492748263050510482475893147384943187441520456895351276433180265787636459684584153195173539934402882722844701815732384329547395122644920353046295760858502651980751792724303620866048 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) (if (<=.f64 (/.f64 (+.f64 y x) (-.f64 y #s(literal -1 binary64))) #s(literal 944473296573929/9444732965739290427392 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) y))) (if (<=.f64 (/.f64 (+.f64 y x) (-.f64 y #s(literal -1 binary64))) #s(literal 100000000000 binary64)) #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)))))) |
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 8711228593176025/87112285931760246646623899502532662132736 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 100000000000 binary64)) #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))))) |
(if (<=.f64 (/.f64 (+.f64 y x) (-.f64 y #s(literal -1 binary64))) #s(literal 8711228593176025/87112285931760246646623899502532662132736 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) (if (<=.f64 (/.f64 (+.f64 y x) (-.f64 y #s(literal -1 binary64))) #s(literal 100000000000 binary64)) #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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 248 | 2806 |
| 1 | 767 | 2701 |
| 2 | 2110 | 2556 |
| 3 | 6962 | 2550 |
| 0 | 8163 | 2462 |
| 0 | 194 | 2626 |
| 1 | 576 | 2528 |
| 2 | 1515 | 2446 |
| 3 | 5424 | 2428 |
| 0 | 8236 | 2361 |
| 0 | 263 | 2459 |
| 1 | 828 | 2384 |
| 2 | 2263 | 2173 |
| 3 | 7952 | 2173 |
| 0 | 8422 | 2114 |
| 0 | 88 | 362 |
| 1 | 263 | 358 |
| 2 | 670 | 338 |
| 3 | 2442 | 308 |
| 0 | 8192 | 300 |
| 0 | 6 | 13 |
| 0 | 9 | 13 |
| 1 | 43 | 13 |
| 2 | 307 | 13 |
| 3 | 3741 | 13 |
| 0 | 9904 | 13 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 471 to 233 computations (50.5% saved)
Compiled 676 to 164 computations (75.7% saved)
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