
Time bar (total: 5.0s)
| 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)
| 410.0ms | 8 253× | 0 | valid |
| 0.0ms | 2× | 1 | valid |
| 0.0ms | 1× | 2 | valid |
ival-sub: 123.0ms (56.7% of total)ival-div: 80.0ms (36.9% of total)ival-true: 6.0ms (2.8% of total)exact: 5.0ms (2.3% of total)ival-assert: 3.0ms (1.4% of total)adjust: 0.0ms (0% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) y) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (-.f64 x y) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 22.0ms | 512× | 0 | valid |
Compiled 43 to 22 computations (48.8% saved)
ival-sub: 5.0ms (51.9% of total)ival-div: 3.0ms (31.1% 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 |
| 288× | lower-fma.f64 |
| 288× | lower-fma.f32 |
| 234× | div-sub |
| 230× | unsub-neg |
| 200× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 43 |
| 1 | 51 | 38 |
| 2 | 125 | 36 |
| 3 | 356 | 35 |
| 4 | 800 | 35 |
| 5 | 1265 | 35 |
| 6 | 1477 | 35 |
| 7 | 1555 | 35 |
| 8 | 1613 | 35 |
| 9 | 1626 | 35 |
| 0 | 6 | 7 |
| 0 | 9 | 7 |
| 1 | 17 | 7 |
| 2 | 24 | 7 |
| 3 | 39 | 7 |
| 4 | 72 | 7 |
| 5 | 139 | 7 |
| 6 | 318 | 7 |
| 7 | 544 | 7 |
| 8 | 697 | 7 |
| 9 | 713 | 7 |
| 10 | 714 | 7 |
| 0 | 714 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| Outputs |
|---|
(/.f64 (-.f64 x y) (-.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 #s(literal 1 binary64) y)) |
Compiled 7 to 6 computations (14.3% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 288× | lower-fma.f64 |
| 288× | lower-fma.f32 |
| 176× | lower-*.f64 |
| 176× | lower-*.f32 |
| 142× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 16 |
| 0 | 9 | 16 |
| 1 | 17 | 16 |
| 2 | 24 | 16 |
| 3 | 39 | 16 |
| 4 | 72 | 16 |
| 5 | 139 | 16 |
| 6 | 318 | 16 |
| 7 | 544 | 16 |
| 8 | 697 | 16 |
| 9 | 713 | 16 |
| 10 | 714 | 16 |
| 0 | 714 | 16 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
(-.f64 x y) |
x |
y |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
(-.f64 x y) |
x |
y |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 x y) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.015625 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 10.0ms | 256× | 0 | valid |
Compiled 18 to 8 computations (55.6% saved)
ival-sub: 3.0ms (64.6% of total)ival-div: 2.0ms (43.1% 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 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ()) |
#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* y (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x 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 (* -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 (* -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 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1 (/ x y)) (/ 1 y))) (taylor inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) (taylor inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) (taylor inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor -inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (- x 1) y))) (taylor -inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) (taylor -inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) (taylor -inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- 1 (/ 1 y)))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- 1 (/ 1 y)))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- 1 (/ 1 y)))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ y (- 1 y))) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 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 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -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 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 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) (- 1 y)) (- x y) (- 1 y)) |
| 1.0ms | y | @ | inf | ((/ (- x y) (- 1 y)) (- x y) (- 1 y)) |
| 0.0ms | y | @ | -inf | ((/ (- x y) (- 1 y)) (- x y) (- 1 y)) |
| 0.0ms | x | @ | 0 | ((/ (- x y) (- 1 y)) (- x y) (- 1 y)) |
| 0.0ms | x | @ | inf | ((/ (- x y) (- 1 y)) (- x y) (- 1 y)) |
| 1× | egg-herbie |
| 13 832× | lower-fma.f64 |
| 13 832× | lower-fma.f32 |
| 2 816× | lower-*.f64 |
| 2 816× | lower-*.f32 |
| 2 668× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 96 | 384 |
| 1 | 281 | 358 |
| 2 | 787 | 338 |
| 3 | 2726 | 311 |
| 4 | 7421 | 311 |
| 0 | 8109 | 302 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
x |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
1 |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
(* -1 y) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
1 |
(+ 1 (* -1 (/ (- x 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (/ y (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(* -1 y) |
(- x y) |
(- x y) |
(- x y) |
(/ x (- 1 y)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(/ x (- 1 y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
x |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
| Outputs |
|---|
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))) y x) |
x |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x 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) |
1 |
#s(literal 1 binary64) |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64))) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ x y) 1)) |
(-.f64 x y) |
(* y (- (/ x y) 1)) |
(-.f64 x y) |
(* y (- (/ x y) 1)) |
(-.f64 x 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 (* -1 (/ (- x 1) y))) |
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 x #s(literal 1 binary64))) y)) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 x y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 x y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 x y) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 (/ y (- 1 y))) |
(/.f64 y (-.f64 y #s(literal 1 binary64))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x)) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x)) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x)) |
(* -1 y) |
(neg.f64 y) |
(- x y) |
(-.f64 x y) |
(- x y) |
(-.f64 x y) |
(- x y) |
(-.f64 x y) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x)) |
(* 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 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x)) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(-.f64 x y) |
(* x (+ 1 (* -1 (/ y x)))) |
(-.f64 x y) |
(* x (+ 1 (* -1 (/ y x)))) |
(-.f64 x y) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x)) |
(* -1 (* x (- (/ 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 (- (/ y x) 1))) |
(-.f64 x y) |
(* -1 (* x (- (/ y x) 1))) |
(-.f64 x y) |
(* -1 (* x (- (/ y x) 1))) |
(-.f64 x y) |
| 4 514× | lower-*.f64 |
| 4 514× | lower-*.f32 |
| 3 690× | lower-fma.f64 |
| 3 690× | lower-fma.f32 |
| 3 320× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 13 |
| 0 | 9 | 13 |
| 1 | 47 | 13 |
| 2 | 356 | 13 |
| 3 | 4967 | 13 |
| 0 | 9356 | 13 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
(-.f64 x y) |
(-.f64 #s(literal 1 binary64) y) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 (neg.f64 y) y (*.f64 x x))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (+.f64 y x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 y x) (-.f64 y x))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (+.f64 y x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (+.f64 y x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (+.f64 y x)) (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) x (*.f64 (-.f64 y #s(literal 1 binary64)) y)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -2 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (fma.f64 (neg.f64 y) y (*.f64 x x))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (neg.f64 y) y (*.f64 x x))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 y x) (-.f64 y #s(literal 1 binary64)))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(*.f64 (/.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 y x) (-.f64 y #s(literal 1 binary64)))) (fma.f64 (neg.f64 y) y (*.f64 x x))) (-.f64 x y)) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) y)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (+.f64 y x) y))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) y)) (+.f64 (pow.f64 (*.f64 (+.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 y x) y) (-.f64 (*.f64 (+.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (/.f64 (-.f64 x y) (+.f64 #s(literal -1 binary64) (*.f64 y y))) (-.f64 y #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 x y) (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 (+.f64 y x) (-.f64 y x))) #s(literal -1 binary64)) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 y x) (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 y x)) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (+.f64 #s(literal -1 binary64) (*.f64 y y)))) (-.f64 #s(literal 1 binary64) y)) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y x)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (-.f64 x y) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 x y) (+.f64 y x))) |
(*.f64 (/.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (-.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 x y) (fma.f64 (+.f64 y x) y (*.f64 x x)))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 y x) (+.f64 #s(literal -1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 (-.f64 y x) (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 y x) (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (-.f64 x y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (-.f64 x y)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 x y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (-.f64 x y))) |
(*.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 y x) (-.f64 y #s(literal 1 binary64)))) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) y)) (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))) (pow.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (+.f64 y x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 (+.f64 y x) (-.f64 y x))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 y x)) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (-.f64 x y)) |
(*.f64 (-.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (+.f64 y x)) (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) x (*.f64 (-.f64 y #s(literal 1 binary64)) y)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -2 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (*.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) y)))) |
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (+.f64 y x))) |
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(fma.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 y y))) #s(literal -1 binary64)) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))) |
(fma.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))) |
(fma.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))) |
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y y y)) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))) |
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (fma.f64 y y y) (-.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))) |
(fma.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))) |
(fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))) |
(fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 9 binary64)))) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))) |
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y y y)) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))) |
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 y y y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))) |
(fma.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (fma.f64 y y y) (-.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))) |
(fma.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 y y y) (-.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 y y #s(literal 1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (+.f64 (fma.f64 y y (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))) |
(fma.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal -1 binary64)) (-.f64 y #s(literal 1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))) |
(fma.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))) |
(fma.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))) |
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))) |
(fma.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))) |
(fma.f64 (pow.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))) |
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))) |
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))) |
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))) |
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #s(literal 1 binary64) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))) |
(fma.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 y) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64)) |
(fma.f64 (neg.f64 y) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))) |
(fma.f64 #s(literal 1 binary64) (neg.f64 y) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) y #s(literal 1 binary64)) |
(fma.f64 y #s(literal -1 binary64) #s(literal 1 binary64)) |
(fma.f64 y #s(literal 1 binary64) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) #s(literal 1 binary64))) |
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))) |
(-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))) |
(-.f64 #s(literal 0 binary64) (-.f64 y #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (/.f64 y #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (neg.f64 y)) |
(-.f64 #s(literal 1 binary64) y) |
(exp.f64 (neg.f64 (*.f64 (log1p.f64 y) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log1p.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))) |
(+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))) |
(+.f64 (neg.f64 y) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (neg.f64 y)) |
(+.f64 #s(literal 1 binary64) y) |
(+.f64 y #s(literal 1 binary64)) |
Compiled 10 822 to 1 323 computations (87.8% saved)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 543 | 6 | 549 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 544 | 6 | 550 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 47.6% | (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) |
| ▶ | 53.5% | #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) |
| ▶ | 51.1% | #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) |
| ▶ | 50.2% | #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
| 47.5% | #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) | |
| ▶ | 37.4% | #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
Compiled 72 to 72 computations (0% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | #s(approx (- 1 y) (neg.f64 y)) | |
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) | |
| cost-diff | 0 | (-.f64 y #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 y (-.f64 y #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) | |
| 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) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (-.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) |
| 896× | lower-fma.f32 |
| 894× | lower-fma.f64 |
| 448× | lower-*.f64 |
| 448× | lower-*.f32 |
| 290× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 106 |
| 0 | 30 | 106 |
| 1 | 47 | 106 |
| 2 | 65 | 106 |
| 3 | 106 | 106 |
| 4 | 190 | 106 |
| 5 | 312 | 106 |
| 6 | 686 | 106 |
| 7 | 1257 | 106 |
| 8 | 1551 | 106 |
| 9 | 1592 | 106 |
| 10 | 1608 | 106 |
| 11 | 1614 | 106 |
| 0 | 1614 | 106 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
y |
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (- x y) (- 1 y)) (/.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) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) |
(/.f64 y (-.f64 y #s(literal 1 binary64))) |
y |
(-.f64 y #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) |
(-.f64 x y) |
x |
y |
#s(approx (- 1 y) (neg.f64 y)) |
(neg.f64 y) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
y |
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (- x y) (- 1 y)) (/.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) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) |
(/.f64 y (-.f64 y #s(literal 1 binary64))) |
y |
(-.f64 y #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) |
(-.f64 x y) |
x |
y |
#s(approx (- 1 y) (neg.f64 y)) |
(neg.f64 y) |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 x y) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0.015625 | (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) | |
| accuracy | 33.41533779017821 | #s(approx (- 1 y) (neg.f64 y)) | |
| accuracy | 0 | (-.f64 y #s(literal 1 binary64)) | |
| accuracy | 0.0078125 | (/.f64 y (-.f64 y #s(literal 1 binary64))) | |
| accuracy | 31.276610767205923 | #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.0078125 | (/.f64 x (-.f64 #s(literal 1 binary64) y)) | |
| accuracy | 31.857975066066544 | #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) | |
| accuracy | 40.057895526084714 | #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) | |
| accuracy | 0 | (-.f64 x #s(literal 1 binary64)) | |
| accuracy | 0.0078125 | (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) | |
| accuracy | 29.77249287398656 | #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) |
| 27.0ms | 256× | 0 | valid |
Compiled 82 to 15 computations (81.7% saved)
ival-sub: 5.0ms (35.2% of total)ival-div: 5.0ms (35.2% of total)ival-mult: 2.0ms (14.1% of total)ival-add: 1.0ms (7% of total)ival-neg: 1.0ms (7% 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) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) #<representation binary64>) () ()) |
#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) (patch #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (- x y) (- 1 y)) (/.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) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 y (-.f64 y #s(literal 1 binary64))) (patch (/.f64 y (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ()) |
#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ()) |
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ()) |
| Outputs |
|---|
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#s(alt x (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
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#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 #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 y)) (taylor inf x) (#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (+ y (* -1 (/ y x))))) (taylor inf x) (#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (+ y (* -1 (/ y x))))) (taylor inf x) (#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (+ y (* -1 (/ y x))))) (taylor inf x) (#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (/ 1 x))) (taylor inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (/ 1 x))) (taylor inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (/ 1 x))) (taylor inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 y)) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) (patch #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) (patch #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) (patch #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) (patch #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 y)) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (- x y) (- 1 y)) (/.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) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 y)) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -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 #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 y) (/ y x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 y) (/ y x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 y) (/ y x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) (patch #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) (patch #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) (patch #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) (patch #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
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#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) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 39.0ms | y | @ | -inf | ((/ (- x y) (- 1 y)) (+ (* (- x 1) y) x) (- x 1) (/ (- x y) (- 1 y)) (/ (- x y) (- 1 y)) (/ x (- 1 y)) (- 1 y) (/ (- x y) (- 1 y)) (/ y (- y 1)) (- y 1) (/ (- x y) (- 1 y)) (- x y) (- 1 y) (neg y)) |
| 1.0ms | x | @ | -inf | ((/ (- x y) (- 1 y)) (+ (* (- x 1) y) x) (- x 1) (/ (- x y) (- 1 y)) (/ (- x y) (- 1 y)) (/ x (- 1 y)) (- 1 y) (/ (- x y) (- 1 y)) (/ y (- y 1)) (- y 1) (/ (- x y) (- 1 y)) (- x y) (- 1 y) (neg y)) |
| 1.0ms | x | @ | inf | ((/ (- x y) (- 1 y)) (+ (* (- x 1) y) x) (- x 1) (/ (- x y) (- 1 y)) (/ (- x y) (- 1 y)) (/ x (- 1 y)) (- 1 y) (/ (- x y) (- 1 y)) (/ y (- y 1)) (- y 1) (/ (- x y) (- 1 y)) (- x y) (- 1 y) (neg y)) |
| 1.0ms | y | @ | inf | ((/ (- x y) (- 1 y)) (+ (* (- x 1) y) x) (- x 1) (/ (- x y) (- 1 y)) (/ (- x y) (- 1 y)) (/ x (- 1 y)) (- 1 y) (/ (- x y) (- 1 y)) (/ y (- y 1)) (- y 1) (/ (- x y) (- 1 y)) (- x y) (- 1 y) (neg y)) |
| 1.0ms | x | @ | 0 | ((/ (- x y) (- 1 y)) (+ (* (- x 1) y) x) (- x 1) (/ (- x y) (- 1 y)) (/ (- x y) (- 1 y)) (/ x (- 1 y)) (- 1 y) (/ (- x y) (- 1 y)) (/ y (- y 1)) (- y 1) (/ (- x y) (- 1 y)) (- x y) (- 1 y) (neg y)) |
| 1× | egg-herbie |
| 14 586× | lower-fma.f64 |
| 14 586× | lower-fma.f32 |
| 2 824× | lower-*.f64 |
| 2 824× | lower-*.f32 |
| 2 810× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 176 | 2108 |
| 1 | 511 | 1925 |
| 2 | 1402 | 1831 |
| 3 | 4602 | 1705 |
| 0 | 8546 | 1638 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
x |
(+ x (* y (- x 1))) |
(+ x (* y (- x 1))) |
(+ x (* y (- x 1))) |
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
x |
(+ x (* x y)) |
(+ x (* y (- (* x y) (* -1 x)))) |
(+ x (* y (- (* y (- (* x y) (* -1 x))) (* -1 x)))) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(* -1 y) |
(* y (- (* -1 y) 1)) |
(* y (- (* y (- (* -1 y) 1)) 1)) |
(* y (- (* y (- (* y (- (* -1 y) 1)) 1)) 1)) |
-1 |
(- y 1) |
(- y 1) |
(- y 1) |
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
x |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
1 |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
(* y (- x 1)) |
(* y (- (+ x (/ x y)) 1)) |
(* y (- (+ x (/ x y)) 1)) |
(* y (- (+ x (/ x y)) 1)) |
1 |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
1 |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
(* -1 (/ x y)) |
(/ (+ (* -1 x) (* -1 (/ x y))) y) |
(/ (- (+ (* -1 x) (* -1 (/ x (pow y 2)))) (/ x y)) y) |
(/ (- (+ (* -1 x) (* -1 (/ x (pow y 3)))) (+ (/ x y) (/ x (pow y 2)))) y) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
1 |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
1 |
(+ 1 (/ 1 y)) |
(+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) |
(+ 1 (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))) |
y |
(* y (- 1 (/ 1 y))) |
(* y (- 1 (/ 1 y))) |
(* y (- 1 (/ 1 y))) |
1 |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
(* -1 y) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
1 |
(+ 1 (* -1 (/ (- x 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
(* y (- x 1)) |
(* -1 (* y (+ (* -1 (- x 1)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (- x 1)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (- x 1)) (* -1 (/ x y))))) |
1 |
(+ 1 (* -1 (/ (- x 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
1 |
(+ 1 (* -1 (/ (- x 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
(* -1 (/ x y)) |
(* -1 (/ (+ x (/ x y)) y)) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ x y)) x) y))) y)) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ x y) (* -1 x)) y)) x) y))) y)) |
(* -1 y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
1 |
(+ 1 (* -1 (/ (- x 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
1 |
(+ 1 (/ 1 y)) |
(+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y))) |
y |
(* -1 (* y (- (/ 1 y) 1))) |
(* -1 (* y (- (/ 1 y) 1))) |
(* -1 (* y (- (/ 1 y) 1))) |
1 |
(+ 1 (* -1 (/ (- x 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 (/ y (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(* -1 y) |
(+ (* -1 y) (* x (+ 1 y))) |
(+ (* -1 y) (* x (+ 1 y))) |
(+ (* -1 y) (* x (+ 1 y))) |
-1 |
(- x 1) |
(- x 1) |
(- x 1) |
(* -1 (/ y (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(* -1 (/ y (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(* -1 (/ y (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(* -1 (/ y (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(* -1 y) |
(- x y) |
(- x y) |
(- x y) |
(/ x (- 1 y)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ 1 y)) |
(* x (+ 1 (+ y (* -1 (/ y x))))) |
(* x (+ 1 (+ y (* -1 (/ y x))))) |
(* x (+ 1 (+ y (* -1 (/ y x))))) |
x |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(/ x (- 1 y)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(/ x (- 1 y)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* 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)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(/ x (- 1 y)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(/ x (- 1 y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (+ (* -1 y) (/ y x)) 1))) |
(* -1 (* x (- (+ (* -1 y) (/ y x)) 1))) |
(* -1 (* x (- (+ (* -1 y) (/ y x)) 1))) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(/ x (- 1 y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(/ x (- 1 y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(/ x (- 1 y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
x |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
| Outputs |
|---|
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y) x) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (fma.f64 (-.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 x #s(literal 1 binary64))) y x) |
x |
(+ x (* y (- x 1))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(+ x (* y (- x 1))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(+ x (* y (- x 1))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y) x) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (fma.f64 (-.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 x #s(literal 1 binary64))) y x) |
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y) x) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (fma.f64 (-.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 x #s(literal 1 binary64))) y x) |
x |
(+ x (* x y)) |
(fma.f64 y x x) |
(+ x (* y (- (* x y) (* -1 x)))) |
(fma.f64 (fma.f64 y x x) y x) |
(+ x (* y (- (* y (- (* x y) (* -1 x))) (* -1 x)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 y x 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 (* -1 (* y (+ 1 (* -1 x))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y) x) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (fma.f64 (-.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 x #s(literal 1 binary64))) y x) |
(* -1 y) |
(neg.f64 y) |
(* y (- (* -1 y) 1)) |
(*.f64 (-.f64 #s(literal -1 binary64) y) y) |
(* y (- (* y (- (* -1 y) 1)) 1)) |
(*.f64 (fma.f64 (-.f64 #s(literal -1 binary64) y) y #s(literal -1 binary64)) y) |
(* y (- (* y (- (* y (- (* -1 y) 1)) 1)) 1)) |
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) y) |
-1 |
#s(literal -1 binary64) |
(- y 1) |
(-.f64 y #s(literal 1 binary64)) |
(- y 1) |
(-.f64 y #s(literal 1 binary64)) |
(- y 1) |
(-.f64 y #s(literal 1 binary64)) |
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y) x) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (fma.f64 (-.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 x #s(literal 1 binary64))) y x) |
x |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x 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) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
1 |
#s(literal 1 binary64) |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64))) |
(* y (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) y) |
(* y (- (+ x (/ x y)) 1)) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(* y (- (+ x (/ x y)) 1)) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(* y (- (+ x (/ x y)) 1)) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
1 |
#s(literal 1 binary64) |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64))) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(/ (+ (* -1 x) (* -1 (/ x y))) y) |
(/.f64 (-.f64 (/.f64 (neg.f64 x) y) x) y) |
(/ (- (+ (* -1 x) (* -1 (/ x (pow y 2)))) (/ x y)) y) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 x y) x) y) x) (neg.f64 y)) |
(/ (- (+ (* -1 x) (* -1 (/ x (pow y 3)))) (+ (/ x y) (/ x (pow y 2)))) y) |
(/.f64 (*.f64 (+.f64 (/.f64 x y) x) (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) #s(literal 1 binary64))) 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 (+ (* -1 (/ x y)) (/ 1 y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ 1 y)) |
(-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) |
(+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) |
(+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(+ 1 (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))) |
(+.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) 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 (/ x y)) (/ 1 y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64))) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ x y) 1)) |
(-.f64 x y) |
(* y (- (/ x y) 1)) |
(-.f64 x y) |
(* y (- (/ x y) 1)) |
(-.f64 x 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 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- x 1) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64))) y)) |
(* y (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) y) |
(* -1 (* y (+ (* -1 (- x 1)) (* -1 (/ x y))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(* -1 (* y (+ (* -1 (- x 1)) (* -1 (/ x y))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(* -1 (* y (+ (* -1 (- x 1)) (* -1 (/ x y))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- x 1) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64))) y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- x 1) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64))) y)) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (/ (+ x (/ x y)) y)) |
(/.f64 (-.f64 (/.f64 (neg.f64 x) y) x) y) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ x y)) x) y))) y)) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 x y) x) y) x) (neg.f64 y)) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ x y) (* -1 x)) y)) x) y))) y)) |
(/.f64 (*.f64 (+.f64 (/.f64 x y) x) (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) #s(literal 1 binary64))) y) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- x 1) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64))) y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ 1 y)) |
(-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) |
(+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) |
(+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #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)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- x 1) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64))) y)) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 x y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 x y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 x y) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 (/ y (- 1 y))) |
(/.f64 y (-.f64 y #s(literal 1 binary64))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x)) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x)) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x)) |
(* -1 y) |
(neg.f64 y) |
(+ (* -1 y) (* x (+ 1 y))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(+ (* -1 y) (* x (+ 1 y))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(+ (* -1 y) (* x (+ 1 y))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
-1 |
#s(literal -1 binary64) |
(- x 1) |
(-.f64 x #s(literal 1 binary64)) |
(- x 1) |
(-.f64 x #s(literal 1 binary64)) |
(- x 1) |
(-.f64 x #s(literal 1 binary64)) |
(* -1 (/ y (- 1 y))) |
(/.f64 y (-.f64 y #s(literal 1 binary64))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x)) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x)) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x)) |
(* -1 (/ y (- 1 y))) |
(/.f64 y (-.f64 y #s(literal 1 binary64))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x)) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x)) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* -1 (/ y (- 1 y))) |
(/.f64 y (-.f64 y #s(literal 1 binary64))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x)) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x)) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x)) |
(* -1 (/ y (- 1 y))) |
(/.f64 y (-.f64 y #s(literal 1 binary64))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x)) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x)) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x)) |
(* -1 y) |
(neg.f64 y) |
(- x y) |
(-.f64 x y) |
(- x y) |
(-.f64 x y) |
(- x y) |
(-.f64 x y) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x)) |
(* 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 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x)) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 (+ y (* -1 (/ y x))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(* x (+ 1 (+ y (* -1 (/ y x))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(* x (+ 1 (+ y (* -1 (/ y x))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
x |
(* x (- 1 (/ 1 x))) |
(-.f64 x #s(literal 1 binary64)) |
(* x (- 1 (/ 1 x))) |
(-.f64 x #s(literal 1 binary64)) |
(* x (- 1 (/ 1 x))) |
(-.f64 x #s(literal 1 binary64)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* 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 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x)) |
(* 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 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* 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 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x)) |
(* 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 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x)) |
(* 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 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* 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 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x)) |
(* 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 |
(* x (+ 1 (* -1 (/ y x)))) |
(-.f64 x y) |
(* x (+ 1 (* -1 (/ y x)))) |
(-.f64 x y) |
(* x (+ 1 (* -1 (/ y x)))) |
(-.f64 x y) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x)) |
(* -1 (* x (- (/ 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) 1))) |
(fma.f64 y x x) |
(* -1 (* x (- (+ (* -1 y) (/ y x)) 1))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(* -1 (* x (- (+ (* -1 y) (/ y x)) 1))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(* -1 (* x (- (+ (* -1 y) (/ y x)) 1))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(-.f64 x #s(literal 1 binary64)) |
(* -1 (* x (- (/ 1 x) 1))) |
(-.f64 x #s(literal 1 binary64)) |
(* -1 (* x (- (/ 1 x) 1))) |
(-.f64 x #s(literal 1 binary64)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x)) |
(* -1 (* x (- (/ 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 (- (/ y x) 1))) |
(-.f64 x y) |
(* -1 (* x (- (/ y x) 1))) |
(-.f64 x y) |
(* -1 (* x (- (/ y x) 1))) |
(-.f64 x y) |
| 6 766× | lower-fma.f32 |
| 6 764× | lower-fma.f64 |
| 4 838× | lower-*.f64 |
| 4 838× | lower-*.f32 |
| 4 454× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 95 |
| 0 | 30 | 95 |
| 1 | 120 | 95 |
| 2 | 892 | 95 |
| 0 | 8621 | 95 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(-.f64 x #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) (/.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) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) |
(/.f64 y (-.f64 y #s(literal 1 binary64))) |
(-.f64 y #s(literal 1 binary64)) |
(/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) |
(-.f64 x y) |
#s(approx (- 1 y) (neg.f64 y)) |
(neg.f64 y) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (-.f64 x #s(literal 1 binary64)) y)))) |
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(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) #s(approx (- 1 y) (neg.f64 y))) (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) #s(approx (- 1 y) (neg.f64 y))))) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) #s(approx (- 1 y) (neg.f64 y))) (/.f64 (neg.f64 y) #s(approx (- 1 y) (neg.f64 y)))) |
(fma.f64 (neg.f64 y) (pow.f64 #s(approx (- 1 y) (neg.f64 y)) #s(literal -1 binary64)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) #s(approx (- 1 y) (neg.f64 y))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (/.f64 (neg.f64 y) #s(approx (- 1 y) (neg.f64 y)))) |
(fma.f64 y (/.f64 #s(literal -1 binary64) #s(approx (- 1 y) (neg.f64 y))) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) |
(fma.f64 x (pow.f64 #s(approx (- 1 y) (neg.f64 y)) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) #s(approx (- 1 y) (neg.f64 y))))) |
(fma.f64 x (pow.f64 #s(approx (- 1 y) (neg.f64 y)) #s(literal -1 binary64)) (/.f64 (neg.f64 y) #s(approx (- 1 y) (neg.f64 y)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 x #s(approx (- 1 y) (neg.f64 y))) #s(literal 2 binary64)) (*.f64 (pow.f64 #s(approx (- 1 y) (neg.f64 y)) #s(literal -1 binary64)) (+.f64 y x))) (/.f64 (pow.f64 (/.f64 y #s(approx (- 1 y) (neg.f64 y))) #s(literal 2 binary64)) (*.f64 (pow.f64 #s(approx (- 1 y) (neg.f64 y)) #s(literal -1 binary64)) (+.f64 y x)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 x #s(approx (- 1 y) (neg.f64 y))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 x #s(approx (- 1 y) (neg.f64 y))) #s(literal 2 binary64)) (*.f64 (/.f64 y #s(approx (- 1 y) (neg.f64 y))) (+.f64 (/.f64 y #s(approx (- 1 y) (neg.f64 y))) (/.f64 x #s(approx (- 1 y) (neg.f64 y))))))) (/.f64 (pow.f64 (/.f64 y #s(approx (- 1 y) (neg.f64 y))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 x #s(approx (- 1 y) (neg.f64 y))) #s(literal 2 binary64)) (*.f64 (/.f64 y #s(approx (- 1 y) (neg.f64 y))) (+.f64 (/.f64 y #s(approx (- 1 y) (neg.f64 y))) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))))))) |
(-.f64 (/.f64 (*.f64 x #s(approx (- 1 y) (neg.f64 y))) (pow.f64 #s(approx (- 1 y) (neg.f64 y)) #s(literal 2 binary64))) (/.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) y) (pow.f64 #s(approx (- 1 y) (neg.f64 y)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (*.f64 x x) (*.f64 #s(approx (- 1 y) (neg.f64 y)) (+.f64 y x))) (/.f64 (*.f64 y y) (*.f64 #s(approx (- 1 y) (neg.f64 y)) (+.f64 y x)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) (fma.f64 y (+.f64 y x) (*.f64 x x)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) (fma.f64 y (+.f64 y x) (*.f64 x x))))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 y x)) #s(approx (- 1 y) (neg.f64 y))) (/.f64 (/.f64 (*.f64 y y) (+.f64 y x)) #s(approx (- 1 y) (neg.f64 y)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) #s(approx (- 1 y) (neg.f64 y))) (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) #s(approx (- 1 y) (neg.f64 y)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (- 1 y) (neg.f64 y)))) (/.f64 (-.f64 y x) #s(approx (- 1 y) (neg.f64 y)))) |
(-.f64 (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (/.f64 y #s(approx (- 1 y) (neg.f64 y)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 y x) #s(approx (- 1 y) (neg.f64 y)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) (-.f64 x y))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (/.f64 x #s(approx (- 1 y) (neg.f64 y))) #s(literal 1 binary64)) (*.f64 (/.f64 (neg.f64 y) #s(approx (- 1 y) (neg.f64 y))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (pow.f64 #s(approx (- 1 y) (neg.f64 y)) #s(literal -1 binary64)) (neg.f64 y)) (*.f64 (pow.f64 #s(approx (- 1 y) (neg.f64 y)) #s(literal -1 binary64)) x)) |
(+.f64 (*.f64 (pow.f64 #s(approx (- 1 y) (neg.f64 y)) #s(literal -1 binary64)) x) (*.f64 (pow.f64 #s(approx (- 1 y) (neg.f64 y)) #s(literal -1 binary64)) (neg.f64 y))) |
(+.f64 (/.f64 (neg.f64 y) #s(approx (- 1 y) (neg.f64 y))) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) |
(+.f64 (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) #s(approx (- 1 y) (neg.f64 y))))) |
(+.f64 (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (/.f64 (neg.f64 y) #s(approx (- 1 y) (neg.f64 y)))) |
(*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x))))) |
(*.f64 (+.f64 y x) (*.f64 (-.f64 x y) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (*.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (-.f64 y x)) |
(*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (*.f64 (-.f64 x y) (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal -1 binary64)))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (neg.f64 y) (-.f64 (neg.f64 y) x))))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (-.f64 x y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (-.f64 x y)) |
(pow.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) (fma.f64 x x (*.f64 y y))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal -1 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal -1 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))) |
(/.f64 (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal 1 binary64)) (neg.f64 (+.f64 y x))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1 binary64)) (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (*.f64 x x) (+.f64 y x))) (*.f64 (/.f64 (*.f64 y y) (+.f64 y x)) (/.f64 (*.f64 y y) (+.f64 y x)))) (+.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (*.f64 y y) (+.f64 y x)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x)))) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))))) (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (-.f64 (neg.f64 y) x)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (+.f64 y x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (*.f64 x x) (+.f64 y x)) (fma.f64 (/.f64 (*.f64 y y) (+.f64 y x)) (/.f64 (*.f64 y y) (+.f64 y x)) (*.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (*.f64 y y) (+.f64 y x)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))))))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 (neg.f64 y) x)))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))) (neg.f64 (neg.f64 (+.f64 y x)))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))) (+.f64 y x)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 y (+.f64 y x) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 y x)) (*.f64 (+.f64 y x) (*.f64 y y))) (*.f64 (+.f64 y x) (+.f64 y x))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (fma.f64 y (+.f64 y x) (*.f64 x x)))) |
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (neg.f64 (+.f64 y x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (neg.f64 y) (-.f64 (neg.f64 y) x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)))) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (neg.f64 (neg.f64 (+.f64 y x)))) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x x (*.f64 (neg.f64 y) (-.f64 (neg.f64 y) x)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 y x) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (neg.f64 y) (-.f64 (neg.f64 y) x))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) |
(neg.f64 (-.f64 y x)) |
(fma.f64 (*.f64 (neg.f64 y) y) (pow.f64 y #s(literal -1 binary64)) x) |
(fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) x) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (neg.f64 y)) |
(fma.f64 #s(literal -1 binary64) y x) |
(fma.f64 (*.f64 x x) (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 y y) (+.f64 y x)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))))) |
(fma.f64 (neg.f64 y) #s(literal 1 binary64) x) |
(fma.f64 #s(literal 1 binary64) (neg.f64 y) x) |
(fma.f64 #s(literal 1 binary64) x (neg.f64 y)) |
(fma.f64 y #s(literal -1 binary64) x) |
(fma.f64 x #s(literal 1 binary64) (neg.f64 y)) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (*.f64 y y) (+.f64 y x))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x)))) |
(-.f64 #s(literal 0 binary64) (-.f64 y x)) |
(-.f64 x y) |
(+.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (neg.f64 (/.f64 (*.f64 y y) (+.f64 y x)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))))) |
(+.f64 #s(literal 0 binary64) (-.f64 x y)) |
(+.f64 (neg.f64 y) x) |
(+.f64 x (neg.f64 y)) |
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (- 1 y) (neg.f64 y)))) |
(*.f64 #s(approx (- 1 y) (neg.f64 y)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) #s(approx (- 1 y) (neg.f64 y))) |
#s(approx (- 1 y) (neg.f64 y)) |
(/.f64 (neg.f64 #s(approx (- 1 y) (neg.f64 y))) #s(literal -1 binary64)) |
(/.f64 #s(approx (- 1 y) (neg.f64 y)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (- 1 y) (neg.f64 y)) #s(literal -1 binary64))) |
(neg.f64 (neg.f64 #s(approx (- 1 y) (neg.f64 y)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (- 1 y) (neg.f64 y)))) |
(*.f64 (*.f64 (neg.f64 y) y) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64)))) |
(*.f64 #s(literal -1 binary64) y) |
(*.f64 (neg.f64 y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (neg.f64 y)) |
(*.f64 y #s(literal -1 binary64)) |
(/.f64 (neg.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (neg.f64 (fma.f64 y y #s(literal 0 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) y)) y) |
(/.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64))) |
(/.f64 (*.f64 (neg.f64 y) y) y) |
(/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) (*.f64 #s(literal 0 binary64) (neg.f64 y))))) |
(/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64))) |
(/.f64 (*.f64 y y) (neg.f64 y)) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))) |
(neg.f64 y) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) y) y) |
(-.f64 #s(literal 0 binary64) y) |
(+.f64 #s(literal 0 binary64) (neg.f64 y)) |
Compiled 14 123 to 2 241 computations (84.1% saved)
12 alts after pruning (8 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 887 | 7 | 894 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 888 | 12 | 900 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 47.6% | (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) |
| ▶ | 53.3% | #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) |
| ▶ | 53.5% | #s(approx (/ (- x y) (- 1 y)) (fma.f64 x (-.f64 y #s(literal -1 binary64)) (neg.f64 y))) |
| ✓ | 51.1% | #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) |
| ✓ | 50.2% | #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
| 12.3% | #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) | |
| ▶ | 47.5% | #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) |
| 15.6% | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) | |
| ▶ | 16.6% | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) |
| ▶ | 39.8% | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x))) |
| 39.8% | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) | |
| ✓ | 37.4% | #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
Compiled 129 to 122 computations (5.4% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) x) y) | |
| cost-diff | 0 | (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) | |
| cost-diff | 0 | (fma.f64 y x x) | |
| cost-diff | 0 | (fma.f64 (fma.f64 y x x) y x) | |
| cost-diff | 0 | #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x))) | |
| cost-diff | 0 | #s(approx (- x 1) #s(literal -1 binary64)) | |
| cost-diff | 0 | (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | #s(approx (/ y (- y 1)) (neg.f64 y)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (-.f64 y #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 1 y)) (fma.f64 x (-.f64 y #s(literal -1 binary64)) (neg.f64 y))) | |
| cost-diff | 128 | (fma.f64 x (-.f64 y #s(literal -1 binary64)) (neg.f64 y)) |
| 1 952× | lower-fma.f32 |
| 1 944× | lower-fma.f64 |
| 776× | lower-*.f64 |
| 776× | lower-*.f32 |
| 464× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 170 |
| 0 | 41 | 168 |
| 1 | 72 | 168 |
| 2 | 123 | 168 |
| 3 | 217 | 168 |
| 4 | 467 | 168 |
| 5 | 792 | 168 |
| 6 | 1447 | 168 |
| 7 | 2181 | 168 |
| 8 | 2582 | 168 |
| 9 | 2760 | 168 |
| 10 | 2768 | 168 |
| 11 | 2771 | 168 |
| 12 | 2772 | 168 |
| 13 | 2772 | 168 |
| 0 | 2772 | 168 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- x y) (- 1 y)) (fma.f64 x (-.f64 y #s(literal -1 binary64)) (neg.f64 y))) |
(fma.f64 x (-.f64 y #s(literal -1 binary64)) (neg.f64 y)) |
x |
(-.f64 y #s(literal -1 binary64)) |
y |
#s(literal -1 binary64) |
(neg.f64 y) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) |
#s(approx (/ y (- y 1)) (neg.f64 y)) |
(neg.f64 y) |
y |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) |
(fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) |
#s(approx (- x 1) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
y |
x |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x))) |
#s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x)) |
(fma.f64 (fma.f64 y x x) y x) |
(fma.f64 y x x) |
y |
x |
#s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) |
(-.f64 (/.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) |
#s(literal 1 binary64) |
x |
y |
#s(literal -1 binary64) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 1 y)) (fma.f64 x (-.f64 y #s(literal -1 binary64)) (neg.f64 y))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 y x (-.f64 x y))) |
(fma.f64 x (-.f64 y #s(literal -1 binary64)) (neg.f64 y)) |
(fma.f64 y x (-.f64 x y)) |
x |
(-.f64 y #s(literal -1 binary64)) |
y |
#s(literal -1 binary64) |
(neg.f64 y) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) |
#s(approx (/ y (- y 1)) (neg.f64 y)) |
(neg.f64 y) |
y |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) |
(fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) |
#s(approx (- x 1) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
y |
x |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x))) |
#s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x)) |
#s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)) |
(fma.f64 (fma.f64 y x x) y x) |
(fma.f64 (fma.f64 y y y) x x) |
(fma.f64 y x x) |
y |
x |
#s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) |
(-.f64 (/.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) |
#s(literal 1 binary64) |
x |
y |
#s(literal -1 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.01171875 | (/.f64 (-.f64 #s(literal 1 binary64) x) y) | |
| accuracy | 33.61478227361529 | #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) | |
| accuracy | 0 | (fma.f64 y x x) | |
| accuracy | 0.06640625 | (fma.f64 (fma.f64 y x x) y x) | |
| accuracy | 29.695314967759604 | #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x)) | |
| accuracy | 31.857975066066544 | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x))) | |
| accuracy | 0.0078125 | (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) | |
| accuracy | 29.77249287398656 | #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) | |
| accuracy | 31.055273537024934 | #s(approx (- x 1) #s(literal -1 binary64)) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 29.840141954569745 | #s(approx (/ y (- y 1)) (neg.f64 y)) | |
| accuracy | 31.276610767205923 | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) | |
| accuracy | 0 | (-.f64 y #s(literal -1 binary64)) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0.01171875 | (fma.f64 x (-.f64 y #s(literal -1 binary64)) (neg.f64 y)) | |
| accuracy | 29.77249287398656 | #s(approx (/ (- x y) (- 1 y)) (fma.f64 x (-.f64 y #s(literal -1 binary64)) (neg.f64 y))) |
| 53.0ms | 256× | 0 | valid |
Compiled 114 to 26 computations (77.2% saved)
ival-sub: 14.0ms (36.1% of total)ival-div: 11.0ms (28.4% of total)ival-mult: 8.0ms (20.6% of total)ival-add: 4.0ms (10.3% of total)ival-neg: 1.0ms (2.6% 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 (fma.f64 x (-.f64 y #s(literal -1 binary64)) (neg.f64 y)) (patch (fma.f64 x (-.f64 y #s(literal -1 binary64)) (neg.f64 y)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 x (-.f64 y #s(literal -1 binary64)) (neg.f64 y))) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 x (-.f64 y #s(literal -1 binary64)) (neg.f64 y))) #<representation binary64>) () ()) |
#s(alt (-.f64 y #s(literal -1 binary64)) (patch (-.f64 y #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ y (- y 1)) (neg.f64 y)) (patch #s(approx (/ y (- y 1)) (neg.f64 y)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) (patch (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) #<representation binary64>) () ()) |
#s(alt #s(approx (- x 1) #s(literal -1 binary64)) (patch #s(approx (- x 1) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x)) (patch #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 y x x) y x) (patch (fma.f64 (fma.f64 y x x) y x) #<representation binary64>) () ()) |
#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) (patch #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) (patch (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 y) (#s(alt (fma.f64 x (-.f64 y #s(literal -1 binary64)) (neg.f64 y)) (patch (fma.f64 x (-.f64 y #s(literal -1 binary64)) (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- x 1))) (taylor 0 y) (#s(alt (fma.f64 x (-.f64 y #s(literal -1 binary64)) (neg.f64 y)) (patch (fma.f64 x (-.f64 y #s(literal -1 binary64)) (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- x 1))) (taylor 0 y) (#s(alt (fma.f64 x (-.f64 y #s(literal -1 binary64)) (neg.f64 y)) (patch (fma.f64 x (-.f64 y #s(literal -1 binary64)) (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- x 1))) (taylor 0 y) (#s(alt (fma.f64 x (-.f64 y #s(literal -1 binary64)) (neg.f64 y)) (patch (fma.f64 x (-.f64 y #s(literal -1 binary64)) (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 x (-.f64 y #s(literal -1 binary64)) (neg.f64 y))) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 x (-.f64 y #s(literal -1 binary64)) (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* y (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 x (-.f64 y #s(literal -1 binary64)) (neg.f64 y))) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 x (-.f64 y #s(literal -1 binary64)) (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 x (-.f64 y #s(literal -1 binary64)) (neg.f64 y))) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 x (-.f64 y #s(literal -1 binary64)) (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 x (-.f64 y #s(literal -1 binary64)) (neg.f64 y))) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 x (-.f64 y #s(literal -1 binary64)) (neg.f64 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 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* y (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 y) (#s(alt #s(approx (/ y (- y 1)) (neg.f64 y)) (patch #s(approx (/ y (- y 1)) (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* -1 y) 1)) (taylor 0 y) (#s(alt #s(approx (/ y (- y 1)) (neg.f64 y)) (patch #s(approx (/ y (- y 1)) (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* y (- (* -1 y) 1)) 1)) (taylor 0 y) (#s(alt #s(approx (/ y (- y 1)) (neg.f64 y)) (patch #s(approx (/ y (- y 1)) (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* y (- (* y (- (* -1 y) 1)) 1)) 1)) (taylor 0 y) (#s(alt #s(approx (/ y (- y 1)) (neg.f64 y)) (patch #s(approx (/ y (- y 1)) (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* y (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) (patch (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- x 1))) (taylor 0 y) (#s(alt (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) (patch (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- x 1))) (taylor 0 y) (#s(alt (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) (patch (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- x 1))) (taylor 0 y) (#s(alt (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) (patch (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* y (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (/ x y)) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 (* x y)) (/ 1 y))) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 (* x y)) (/ 1 y))) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 x) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 y)) (taylor -inf x) (#s(alt (fma.f64 x (-.f64 y #s(literal -1 binary64)) (neg.f64 y)) (patch (fma.f64 x (-.f64 y #s(literal -1 binary64)) (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (+ 1 y)) (/ y x)))) (taylor -inf x) (#s(alt (fma.f64 x (-.f64 y #s(literal -1 binary64)) (neg.f64 y)) (patch (fma.f64 x (-.f64 y #s(literal -1 binary64)) (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (+ 1 y)) (/ y x)))) (taylor -inf x) (#s(alt (fma.f64 x (-.f64 y #s(literal -1 binary64)) (neg.f64 y)) (patch (fma.f64 x (-.f64 y #s(literal -1 binary64)) (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (+ 1 y)) (/ y x)))) (taylor -inf x) (#s(alt (fma.f64 x (-.f64 y #s(literal -1 binary64)) (neg.f64 y)) (patch (fma.f64 x (-.f64 y #s(literal -1 binary64)) (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 x (-.f64 y #s(literal -1 binary64)) (neg.f64 y))) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 x (-.f64 y #s(literal -1 binary64)) (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 x (-.f64 y #s(literal -1 binary64)) (neg.f64 y))) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 x (-.f64 y #s(literal -1 binary64)) (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 x (-.f64 y #s(literal -1 binary64)) (neg.f64 y))) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 x (-.f64 y #s(literal -1 binary64)) (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 x (-.f64 y #s(literal -1 binary64)) (neg.f64 y))) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 x (-.f64 y #s(literal -1 binary64)) (neg.f64 y))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) (patch (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 y) (/ y x)) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) (patch (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 y) (/ y x)) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) (patch (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 y) (/ y x)) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) (patch (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt #s(approx (- x 1) #s(literal -1 binary64)) (patch #s(approx (- x 1) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt #s(approx (- x 1) #s(literal -1 binary64)) (patch #s(approx (- x 1) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt #s(approx (- x 1) #s(literal -1 binary64)) (patch #s(approx (- x 1) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt #s(approx (- x 1) #s(literal -1 binary64)) (patch #s(approx (- x 1) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x)) (patch #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x)) (patch #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x)) (patch #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x)) (patch #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* y (- (* -1 y) 1)) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 y x x) y x) (patch (fma.f64 (fma.f64 y x x) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* y (- (* -1 y) 1)) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 y x x) y x) (patch (fma.f64 (fma.f64 y x x) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* y (- (* -1 y) 1)) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 y x x) y x) (patch (fma.f64 (fma.f64 y x x) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* y (- (* -1 y) 1)) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 y x x) y x) (patch (fma.f64 (fma.f64 y x x) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) (patch #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) (patch #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) (patch #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) (patch #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x y)) (taylor -inf x) (#s(alt (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) (patch (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y)))) (taylor -inf x) (#s(alt (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) (patch (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y)))) (taylor -inf x) (#s(alt (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) (patch (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y)))) (taylor -inf x) (#s(alt (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) (patch (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 22.0ms | x | @ | 0 | ((+ (* x (- y -1)) (neg y)) (/ (- x y) (- 1 y)) (- y -1) (neg y) (/ (- x y) (- 1 y)) (/ y (- y 1)) (/ (- x y) (- 1 y)) (+ (* (- x 1) y) x) (- x 1) (/ (- x y) (- 1 y)) (/ x (- 1 y)) (+ (* (+ (* y x) x) y) x) (+ (* y x) x) (/ (- x y) (- 1 y)) (- (/ (- 1 x) y) -1) (/ (- 1 x) y) (- 1 x)) |
| 3.0ms | x | @ | -inf | ((+ (* x (- y -1)) (neg y)) (/ (- x y) (- 1 y)) (- y -1) (neg y) (/ (- x y) (- 1 y)) (/ y (- y 1)) (/ (- x y) (- 1 y)) (+ (* (- x 1) y) x) (- x 1) (/ (- x y) (- 1 y)) (/ x (- 1 y)) (+ (* (+ (* y x) x) y) x) (+ (* y x) x) (/ (- x y) (- 1 y)) (- (/ (- 1 x) y) -1) (/ (- 1 x) y) (- 1 x)) |
| 2.0ms | x | @ | inf | ((+ (* x (- y -1)) (neg y)) (/ (- x y) (- 1 y)) (- y -1) (neg y) (/ (- x y) (- 1 y)) (/ y (- y 1)) (/ (- x y) (- 1 y)) (+ (* (- x 1) y) x) (- x 1) (/ (- x y) (- 1 y)) (/ x (- 1 y)) (+ (* (+ (* y x) x) y) x) (+ (* y x) x) (/ (- x y) (- 1 y)) (- (/ (- 1 x) y) -1) (/ (- 1 x) y) (- 1 x)) |
| 2.0ms | y | @ | inf | ((+ (* x (- y -1)) (neg y)) (/ (- x y) (- 1 y)) (- y -1) (neg y) (/ (- x y) (- 1 y)) (/ y (- y 1)) (/ (- x y) (- 1 y)) (+ (* (- x 1) y) x) (- x 1) (/ (- x y) (- 1 y)) (/ x (- 1 y)) (+ (* (+ (* y x) x) y) x) (+ (* y x) x) (/ (- x y) (- 1 y)) (- (/ (- 1 x) y) -1) (/ (- 1 x) y) (- 1 x)) |
| 2.0ms | y | @ | -inf | ((+ (* x (- y -1)) (neg y)) (/ (- x y) (- 1 y)) (- y -1) (neg y) (/ (- x y) (- 1 y)) (/ y (- y 1)) (/ (- x y) (- 1 y)) (+ (* (- x 1) y) x) (- x 1) (/ (- x y) (- 1 y)) (/ x (- 1 y)) (+ (* (+ (* y x) x) y) x) (+ (* y x) x) (/ (- x y) (- 1 y)) (- (/ (- 1 x) y) -1) (/ (- 1 x) y) (- 1 x)) |
| 1× | egg-herbie |
| 15 114× | lower-fma.f64 |
| 15 114× | lower-fma.f32 |
| 2 580× | lower-*.f64 |
| 2 580× | lower-*.f32 |
| 2 326× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 200 | 2697 |
| 1 | 636 | 2546 |
| 2 | 1782 | 2421 |
| 3 | 5784 | 2421 |
| 0 | 8435 | 2292 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(+ x (* y (- x 1))) |
(+ x (* y (- x 1))) |
(+ x (* y (- x 1))) |
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
1 |
(+ 1 y) |
(+ 1 y) |
(+ 1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(* -1 y) |
(* y (- (* -1 y) 1)) |
(* y (- (* y (- (* -1 y) 1)) 1)) |
(* y (- (* y (- (* y (- (* -1 y) 1)) 1)) 1)) |
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
x |
(+ x (* y (- x 1))) |
(+ x (* y (- x 1))) |
(+ x (* y (- x 1))) |
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
x |
(+ x (* x y)) |
(+ x (* y (- (* x y) (* -1 x)))) |
(+ x (* y (- (* y (- (* x y) (* -1 x))) (* -1 x)))) |
x |
(+ x (* x y)) |
(+ x (* y (+ x (* x y)))) |
(+ x (* y (+ x (* x y)))) |
x |
(+ x (* x y)) |
(+ x (* x y)) |
(+ x (* x y)) |
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(/ (- 1 x) y) |
(/ (- (+ 1 y) x) y) |
(/ (- (+ 1 y) x) y) |
(/ (- (+ 1 y) x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(* y (- x 1)) |
(* y (- (+ x (/ x y)) 1)) |
(* y (- (+ x (/ x y)) 1)) |
(* y (- (+ x (/ x y)) 1)) |
1 |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
y |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
1 |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
1 |
(+ 1 (/ 1 y)) |
(+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) |
(+ 1 (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))) |
1 |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
(* y (- x 1)) |
(* y (- (+ x (/ x y)) 1)) |
(* y (- (+ x (/ x y)) 1)) |
(* y (- (+ x (/ x y)) 1)) |
1 |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
(* -1 (/ x y)) |
(/ (+ (* -1 x) (* -1 (/ x y))) y) |
(/ (- (+ (* -1 x) (* -1 (/ x (pow y 2)))) (/ x y)) y) |
(/ (- (+ (* -1 x) (* -1 (/ x (pow y 3)))) (+ (/ x y) (/ x (pow y 2)))) y) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (/ x y))) |
(* (pow y 2) (+ x (+ (/ x y) (/ x (pow y 2))))) |
(* (pow y 2) (+ x (+ (/ x y) (/ x (pow y 2))))) |
(* x y) |
(* y (+ x (/ x y))) |
(* y (+ x (/ x y))) |
(* y (+ x (/ x y))) |
1 |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
1 |
(- (+ 1 (/ 1 y)) (/ x y)) |
(- (+ 1 (/ 1 y)) (/ x y)) |
(- (+ 1 (/ 1 y)) (/ x y)) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(* -1 (* y (+ 1 (* -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 (/ (- x 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
y |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
1 |
(+ 1 (* -1 (/ (- x 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
1 |
(+ 1 (/ 1 y)) |
(+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y))) |
1 |
(+ 1 (* -1 (/ (- x 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
(* y (- x 1)) |
(* -1 (* y (+ (* -1 (- x 1)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (- x 1)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (- x 1)) (* -1 (/ x y))))) |
1 |
(+ 1 (* -1 (/ (- x 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
(* -1 (/ x y)) |
(* -1 (/ (+ x (/ x y)) y)) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ x y)) x) y))) y)) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ x y) (* -1 x)) y)) x) y))) y)) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (/ x y))) |
(* (pow y 2) (+ x (* -1 (/ (+ (* -1 x) (* -1 (/ x y))) y)))) |
(* (pow y 2) (+ x (* -1 (/ (+ (* -1 x) (* -1 (/ x y))) y)))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
1 |
(+ 1 (* -1 (/ (- x 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
1 |
(- (+ 1 (/ 1 y)) (/ x y)) |
(- (+ 1 (/ 1 y)) (/ x y)) |
(- (+ 1 (/ 1 y)) (/ x y)) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(* -1 y) |
(- (* x (+ 1 y)) y) |
(- (* x (+ 1 y)) y) |
(- (* x (+ 1 y)) y) |
(* -1 (/ y (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(* -1 (/ y (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(* -1 (/ y (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(* -1 y) |
(+ (* -1 y) (* x (+ 1 y))) |
(+ (* -1 y) (* x (+ 1 y))) |
(+ (* -1 y) (* x (+ 1 y))) |
-1 |
(- x 1) |
(- x 1) |
(- x 1) |
(* -1 (/ y (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(* x (+ 1 (* y (+ 1 y)))) |
(* x (+ 1 (* y (+ 1 y)))) |
(* x (+ 1 (* y (+ 1 y)))) |
(* x (+ 1 (* y (+ 1 y)))) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* -1 (/ y (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ 1 (/ 1 y)) |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(/ 1 y) |
(+ (* -1 (/ x y)) (/ 1 y)) |
(+ (* -1 (/ x y)) (/ 1 y)) |
(+ (* -1 (/ x y)) (/ 1 y)) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(* x (+ 1 y)) |
(* x (+ 1 (+ y (* -1 (/ y x))))) |
(* x (+ 1 (+ y (* -1 (/ y x))))) |
(* x (+ 1 (+ y (* -1 (/ y x))))) |
(/ x (- 1 y)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(/ x (- 1 y)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(/ x (- 1 y)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ 1 y)) |
(* x (+ 1 (+ y (* -1 (/ y x))))) |
(* x (+ 1 (+ y (* -1 (/ y x))))) |
(* x (+ 1 (+ y (* -1 (/ y x))))) |
x |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(/ x (- 1 y)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* 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 y)))) |
(* x (+ 1 (* y (+ 1 y)))) |
(* x (+ 1 (* y (+ 1 y)))) |
(* x (+ 1 (* y (+ 1 y)))) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(/ x (- 1 y)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* -1 (/ x y)) |
(* x (- (+ (/ 1 x) (/ 1 (* x y))) (/ 1 y))) |
(* x (- (+ (/ 1 x) (/ 1 (* x y))) (/ 1 y))) |
(* x (- (+ (/ 1 x) (/ 1 (* x y))) (/ 1 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)) |
(* -1 (* x (+ (* -1 (+ 1 y)) (/ y x)))) |
(* -1 (* x (+ (* -1 (+ 1 y)) (/ y x)))) |
(* -1 (* x (+ (* -1 (+ 1 y)) (/ y x)))) |
(/ x (- 1 y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(/ x (- 1 y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(/ x (- 1 y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (+ (* -1 y) (/ y x)) 1))) |
(* -1 (* x (- (+ (* -1 y) (/ y x)) 1))) |
(* -1 (* x (- (+ (* -1 y) (/ y x)) 1))) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(/ x (- 1 y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(* -1 (* x (- (* y (- (* -1 y) 1)) 1))) |
(* -1 (* x (- (* y (- (* -1 y) 1)) 1))) |
(* -1 (* x (- (* y (- (* -1 y) 1)) 1))) |
(* -1 (* x (- (* y (- (* -1 y) 1)) 1))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (* -1 y) 1))) |
(/ x (- 1 y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (/ 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)))) |
| Outputs |
|---|
x |
(+ x (* y (- x 1))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(+ x (* y (- x 1))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(+ x (* y (- x 1))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (-.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) y) x) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (fma.f64 (-.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 x #s(literal 1 binary64))) y x) |
1 |
#s(literal 1 binary64) |
(+ 1 y) |
(-.f64 y #s(literal -1 binary64)) |
(+ 1 y) |
(-.f64 y #s(literal -1 binary64)) |
(+ 1 y) |
(-.f64 y #s(literal -1 binary64)) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (-.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) y) x) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (fma.f64 (-.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 x #s(literal 1 binary64))) y x) |
(* -1 y) |
(neg.f64 y) |
(* y (- (* -1 y) 1)) |
(*.f64 (-.f64 #s(literal -1 binary64) y) y) |
(* y (- (* y (- (* -1 y) 1)) 1)) |
(*.f64 (fma.f64 (-.f64 #s(literal -1 binary64) y) y #s(literal -1 binary64)) y) |
(* y (- (* y (- (* y (- (* -1 y) 1)) 1)) 1)) |
(*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1 binary64) y) y #s(literal -1 binary64)) y #s(literal -1 binary64)) y) |
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (-.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) y) x) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (fma.f64 (-.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 x #s(literal 1 binary64))) y x) |
x |
(+ x (* y (- x 1))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(+ x (* y (- x 1))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(+ x (* y (- x 1))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (-.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) y) x) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (fma.f64 (-.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 x #s(literal 1 binary64))) y x) |
x |
(+ x (* x y)) |
(fma.f64 y x x) |
(+ x (* y (- (* x y) (* -1 x)))) |
(fma.f64 (fma.f64 y y y) x x) |
(+ x (* y (- (* y (- (* x y) (* -1 x))) (* -1 x)))) |
(fma.f64 (fma.f64 (fma.f64 y y y) x x) y x) |
x |
(+ x (* x y)) |
(fma.f64 y x x) |
(+ x (* y (+ x (* x y)))) |
(fma.f64 (fma.f64 y y y) x x) |
(+ x (* y (+ x (* x y)))) |
(fma.f64 (fma.f64 y y y) x x) |
x |
(+ x (* x y)) |
(fma.f64 y x x) |
(+ x (* x y)) |
(fma.f64 y x x) |
(+ x (* x y)) |
(fma.f64 y x x) |
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (-.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) y) x) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (fma.f64 (-.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 x #s(literal 1 binary64))) y x) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- (+ 1 y) x) y) |
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) x) y) |
(/ (- (+ 1 y) x) y) |
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) x) y) |
(/ (- (+ 1 y) x) y) |
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* y (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) y) |
(* y (- (+ x (/ x y)) 1)) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(* y (- (+ x (/ x y)) 1)) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(* y (- (+ x (/ x y)) 1)) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
1 |
#s(literal 1 binary64) |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) x) y) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) x) y) x) y) #s(literal -1 binary64)) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
(+.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) |
y |
(* y (+ 1 (/ 1 y))) |
(-.f64 y #s(literal -1 binary64)) |
(* y (+ 1 (/ 1 y))) |
(-.f64 y #s(literal -1 binary64)) |
(* y (+ 1 (/ 1 y))) |
(-.f64 y #s(literal -1 binary64)) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
1 |
#s(literal 1 binary64) |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
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(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 (+ y (* -1 (/ y x))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(* x (+ 1 (+ y (* -1 (/ y x))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(* x (+ 1 (+ y (* -1 (/ y x))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
x |
(* x (- 1 (/ 1 x))) |
(-.f64 x #s(literal 1 binary64)) |
(* x (- 1 (/ 1 x))) |
(-.f64 x #s(literal 1 binary64)) |
(* x (- 1 (/ 1 x))) |
(-.f64 x #s(literal 1 binary64)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* x (+ 1 (* y (+ 1 y)))) |
(fma.f64 (fma.f64 y y y) x x) |
(* x (+ 1 (* y (+ 1 y)))) |
(fma.f64 (fma.f64 y y y) x x) |
(* x (+ 1 (* y (+ 1 y)))) |
(fma.f64 (fma.f64 y y y) x x) |
(* x (+ 1 (* y (+ 1 y)))) |
(fma.f64 (fma.f64 y y y) x x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* x (- (+ (/ 1 x) (/ 1 (* x y))) (/ 1 y))) |
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) x) y) |
(* x (- (+ (/ 1 x) (/ 1 (* x y))) (/ 1 y))) |
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) x) y) |
(* x (- (+ (/ 1 x) (/ 1 (* x y))) (/ 1 y))) |
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) x) y) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* -1 (* x (+ (* -1 (+ 1 y)) (/ y x)))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(* -1 (* x (+ (* -1 (+ 1 y)) (/ y x)))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(* -1 (* x (+ (* -1 (+ 1 y)) (/ y x)))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 y x x) |
(* -1 (* x (- (+ (* -1 y) (/ y x)) 1))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(* -1 (* x (- (+ (* -1 y) (/ y x)) 1))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(* -1 (* x (- (+ (* -1 y) (/ y x)) 1))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(-.f64 x #s(literal 1 binary64)) |
(* -1 (* x (- (/ 1 x) 1))) |
(-.f64 x #s(literal 1 binary64)) |
(* -1 (* x (- (/ 1 x) 1))) |
(-.f64 x #s(literal 1 binary64)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (- (* y (- (* -1 y) 1)) 1))) |
(fma.f64 (fma.f64 y y y) x x) |
(* -1 (* x (- (* y (- (* -1 y) 1)) 1))) |
(fma.f64 (fma.f64 y y y) x x) |
(* -1 (* x (- (* y (- (* -1 y) 1)) 1))) |
(fma.f64 (fma.f64 y y y) x x) |
(* -1 (* x (- (* y (- (* -1 y) 1)) 1))) |
(fma.f64 (fma.f64 y y y) x x) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 y x x) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 y x x) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 y x x) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 y x x) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (* x (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y)))) |
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) x) y) |
(* -1 (* x (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y)))) |
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) x) y) |
(* -1 (* x (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y)))) |
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) x) y) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
| 5 828× | lower-fma.f32 |
| 5 820× | lower-fma.f64 |
| 4 604× | lower-/.f32 |
| 4 602× | lower-/.f64 |
| 4 106× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 155 |
| 0 | 41 | 153 |
| 1 | 199 | 153 |
| 2 | 1670 | 153 |
| 0 | 8454 | 153 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 x (-.f64 y #s(literal -1 binary64)) (neg.f64 y)) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 x (-.f64 y #s(literal -1 binary64)) (neg.f64 y))) |
(-.f64 y #s(literal -1 binary64)) |
(neg.f64 y) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) |
#s(approx (/ y (- y 1)) (neg.f64 y)) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) |
(fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) |
#s(approx (- x 1) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x))) |
#s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x)) |
(fma.f64 (fma.f64 y x x) y x) |
(fma.f64 y x x) |
#s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) |
(-.f64 (/.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) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (*.f64 y y)) (pow.f64 (fma.f64 (-.f64 y #s(literal -1 binary64)) x y) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 y x x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (neg.f64 y) (-.f64 (neg.f64 y) (fma.f64 y x x)) (pow.f64 (fma.f64 y x x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (-.f64 y #s(literal -1 binary64)) x y) (-.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (*.f64 y y))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (neg.f64 y) (-.f64 (neg.f64 y) (fma.f64 y x x)) (pow.f64 (fma.f64 y x x) #s(literal 2 binary64))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 y x x) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 y #s(literal -1 binary64)) x #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (fma.f64 (-.f64 y #s(literal -1 binary64)) x #s(literal 0 binary64)) (fma.f64 (-.f64 y #s(literal -1 binary64)) x #s(literal 0 binary64)) (fma.f64 y y (*.f64 (fma.f64 (-.f64 y #s(literal -1 binary64)) x #s(literal 0 binary64)) y)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (fma.f64 (-.f64 y #s(literal -1 binary64)) x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (fma.f64 (-.f64 y #s(literal -1 binary64)) x y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (fma.f64 (-.f64 y #s(literal -1 binary64)) x y)) (/.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (fma.f64 (-.f64 y #s(literal -1 binary64)) x y)) (fma.f64 (/.f64 (*.f64 y y) (fma.f64 (-.f64 y #s(literal -1 binary64)) x y)) (/.f64 (*.f64 y y) (fma.f64 (-.f64 y #s(literal -1 binary64)) x y)) (*.f64 (/.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (fma.f64 (-.f64 y #s(literal -1 binary64)) x y)) (/.f64 (*.f64 y y) (fma.f64 (-.f64 y #s(literal -1 binary64)) x y)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 y (fma.f64 y x x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 y (fma.f64 y x x)) (-.f64 y (fma.f64 y x x)) (*.f64 #s(literal 0 binary64) (-.f64 y (fma.f64 y x x)))))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) y (*.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal -1 binary64) y (*.f64 y x)) (fma.f64 #s(literal -1 binary64) y (*.f64 y x)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal -1 binary64) y (*.f64 y x)) x)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (*.f64 y x) (-.f64 x y))))) |
(/.f64 (+.f64 (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (-.f64 x y) (-.f64 x y) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (-.f64 x y) (*.f64 y x))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 y x) y) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (-.f64 (*.f64 y x) y) (-.f64 (*.f64 y x) y)) (*.f64 x (-.f64 (*.f64 y x) y))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 y x (neg.f64 y)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (fma.f64 y x (neg.f64 y)) (fma.f64 y x (neg.f64 y))) (*.f64 x (fma.f64 y x (neg.f64 y)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (neg.f64 y) (fma.f64 y x x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (*.f64 y y)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 y #s(literal -1 binary64)) x y)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 y x x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (neg.f64 y) (-.f64 (neg.f64 y) (fma.f64 y x x)) (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 y x x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (fma.f64 y y (*.f64 (fma.f64 y x x) y))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (fma.f64 (-.f64 y #s(literal -1 binary64)) x y)) (*.f64 (fma.f64 (-.f64 y #s(literal -1 binary64)) x y) (*.f64 y y))) (*.f64 (fma.f64 (-.f64 y #s(literal -1 binary64)) x y) (fma.f64 (-.f64 y #s(literal -1 binary64)) x y))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (+.f64 #s(literal 0 binary64) y) (*.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) (*.f64 (-.f64 y #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) y))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (*.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (-.f64 y #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))) |
(/.f64 (fma.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)) x) (+.f64 #s(literal 0 binary64) y) (*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) (*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 0 binary64) y))) |
(/.f64 (fma.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)) x) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))) |
(/.f64 (fma.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (+.f64 #s(literal 0 binary64) y) (*.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) (*.f64 (-.f64 y #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) y))) |
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(/.f64 (fma.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (+.f64 #s(literal 0 binary64) y) (*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) (*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 0 binary64) y))) |
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(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (neg.f64 y) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(pow.f64 (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) |
(/.f64 (+.f64 (pow.f64 y #s(literal -3 binary64)) (pow.f64 (neg.f64 (/.f64 x y)) #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal -2 binary64)) (-.f64 (*.f64 (neg.f64 (/.f64 x y)) (neg.f64 (/.f64 x y))) (*.f64 (pow.f64 y #s(literal -1 binary64)) (neg.f64 (/.f64 x y)))))) |
(/.f64 (neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 y #s(literal -1 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal -1 binary64)))) (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (neg.f64 (+.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal -3 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 y #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x y)))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (neg.f64 (neg.f64 y)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) y))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) y))) |
(/.f64 (neg.f64 (-.f64 y (*.f64 y x))) (neg.f64 (*.f64 y y))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 (/.f64 y #s(literal 1 binary64)) (neg.f64 x))) (*.f64 (/.f64 y #s(literal 1 binary64)) (neg.f64 y))) |
(/.f64 (-.f64 (/.f64 y x) (*.f64 (/.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 y x))) |
(/.f64 (-.f64 y (*.f64 (/.f64 y #s(literal 1 binary64)) x)) (*.f64 (/.f64 y #s(literal 1 binary64)) y)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 y (neg.f64 x))) (*.f64 y (neg.f64 y))) |
(/.f64 (-.f64 (/.f64 y x) y) (*.f64 y (/.f64 y x))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 y)) (*.f64 (neg.f64 y) (neg.f64 x))) (*.f64 y y)) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (*.f64 (neg.f64 y) #s(literal 1 binary64))) (*.f64 (neg.f64 y) (/.f64 y x))) |
(/.f64 (-.f64 (neg.f64 y) (*.f64 (neg.f64 y) x)) (*.f64 (neg.f64 y) y)) |
(/.f64 (-.f64 #s(literal -1 binary64) (neg.f64 x)) (neg.f64 y)) |
(/.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) y) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 y #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal -1 binary64))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x y))) |
(/.f64 (-.f64 (pow.f64 y #s(literal -3 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x y))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (*.f64 y (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) y) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) x) y)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) y)) |
(/.f64 (-.f64 y (*.f64 y x)) (*.f64 y y)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 y (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 y (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 y)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)))) |
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 y))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) y)) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64) (neg.f64 (/.f64 x y))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64)) (neg.f64 (/.f64 x y))) |
(-.f64 (/.f64 (pow.f64 y #s(literal -2 binary64)) (+.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x y))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x y)))) |
(-.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 (pow.f64 y #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x y))))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (+.f64 (pow.f64 y #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x y)))))) |
(-.f64 (/.f64 y (*.f64 y y)) (/.f64 (*.f64 y x) (*.f64 y y))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 x x) (*.f64 y (+.f64 #s(literal 1 binary64) x)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))) |
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) y) (/.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) y)) |
(-.f64 (/.f64 (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)) y) (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 y))) |
(-.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))) |
(+.f64 (pow.f64 y #s(literal -1 binary64)) (neg.f64 (/.f64 x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (fma.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (*.f64 (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (*.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) (neg.f64 x)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (neg.f64 x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) (neg.f64 x))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) |
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 x))) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (neg.f64 x)))) |
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x))) |
(-.f64 (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) x) |
(+.f64 (neg.f64 x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (neg.f64 x)) |
Compiled 13 882 to 2 066 computations (85.1% saved)
11 alts after pruning (4 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 786 | 1 | 787 |
| Fresh | 0 | 3 | 3 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 3 | 4 |
| Total | 788 | 11 | 799 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 53.3% | #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) |
| ✓ | 53.5% | #s(approx (/ (- x y) (- 1 y)) (fma.f64 x (-.f64 y #s(literal -1 binary64)) (neg.f64 y))) |
| ✓ | 51.1% | #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) |
| ✓ | 50.2% | #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
| ▶ | 12.3% | #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) |
| ▶ | 47.6% | #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64))) |
| ▶ | 15.6% | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) |
| ✓ | 16.6% | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) |
| ✓ | 39.8% | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x))) |
| ▶ | 39.8% | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) |
| ✓ | 37.4% | #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
Compiled 68 to 66 computations (2.9% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | #s(approx (- 1 y) (neg.f64 y)) | |
| cost-diff | 0 | (/.f64 x #s(approx (- 1 y) (neg.f64 y))) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) | |
| cost-diff | 0 | #s(approx (- 1 x) (neg.f64 x)) | |
| cost-diff | 0 | (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) | |
| cost-diff | 0 | (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64))) | |
| 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 (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) | |
| cost-diff | 0 | (fma.f64 y x x) | |
| cost-diff | 0 | #s(approx (/ x (- 1 y)) (fma.f64 y x x)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) |
| 736× | lower-fma.f32 |
| 734× | lower-fma.f64 |
| 472× | lower-*.f32 |
| 470× | lower-*.f64 |
| 236× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 155 |
| 0 | 36 | 155 |
| 1 | 57 | 155 |
| 2 | 80 | 155 |
| 3 | 124 | 155 |
| 4 | 227 | 155 |
| 5 | 357 | 155 |
| 6 | 617 | 155 |
| 7 | 1003 | 155 |
| 8 | 1213 | 155 |
| 9 | 1374 | 155 |
| 10 | 1568 | 155 |
| 11 | 1591 | 155 |
| 12 | 1600 | 155 |
| 13 | 1617 | 155 |
| 14 | 1629 | 155 |
| 0 | 1629 | 155 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) |
#s(approx (/ x (- 1 y)) (fma.f64 y x x)) |
(fma.f64 y x x) |
y |
x |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) |
#s(approx (/ y (- y 1)) (*.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) (- 1 y)) (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64)) |
(/.f64 #s(approx (- 1 x) (neg.f64 x)) y) |
#s(approx (- 1 x) (neg.f64 x)) |
(neg.f64 x) |
x |
y |
#s(literal -1 binary64) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) |
(/.f64 x #s(approx (- 1 y) (neg.f64 y))) |
x |
#s(approx (- 1 y) (neg.f64 y)) |
(neg.f64 y) |
y |
| Outputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) |
#s(approx (/ x (- 1 y)) (fma.f64 y x x)) |
(fma.f64 y x x) |
y |
x |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) |
#s(approx (/ y (- y 1)) (*.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) (- 1 y)) (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64)) |
(/.f64 #s(approx (- 1 x) (neg.f64 x)) y) |
#s(approx (- 1 x) (neg.f64 x)) |
(neg.f64 x) |
x |
y |
#s(literal -1 binary64) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) |
(/.f64 x #s(approx (- 1 y) (neg.f64 y))) |
x |
#s(approx (- 1 y) (neg.f64 y)) |
(neg.f64 y) |
y |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0.0078125 | (/.f64 x #s(approx (- 1 y) (neg.f64 y))) | |
| accuracy | 31.857975066066544 | #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) | |
| accuracy | 33.41533779017821 | #s(approx (- 1 y) (neg.f64 y)) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0.01171875 | (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) | |
| accuracy | 31.766167121299482 | #s(approx (- 1 x) (neg.f64 x)) | |
| accuracy | 33.61478227361529 | #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64))) | |
| accuracy | 0 | (-.f64 #s(literal -1 binary64) y) | |
| accuracy | 0.01953125 | (*.f64 (-.f64 #s(literal -1 binary64) y) y) | |
| accuracy | 30.252550810164283 | #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)) | |
| accuracy | 31.276610767205923 | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) | |
| accuracy | 0 | (fma.f64 y x x) | |
| accuracy | 29.966512724388938 | #s(approx (/ x (- 1 y)) (fma.f64 y x x)) | |
| accuracy | 31.857975066066544 | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) |
| 38.0ms | 256× | 0 | valid |
Compiled 89 to 21 computations (76.4% saved)
ival-sub: 7.0ms (32.1% of total)ival-div: 6.0ms (27.5% of total)ival-neg: 4.0ms (18.4% of total)ival-mult: 3.0ms (13.8% of total)ival-add: 1.0ms (4.6% 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) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ x (- 1 y)) (fma.f64 y x x)) (patch #s(approx (/ x (- 1 y)) (fma.f64 y x x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)) (patch #s(approx (/ y (- y 1)) (*.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) (- 1 y)) (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64))) (patch #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64)) (patch (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) (patch (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 x) (neg.f64 x)) (patch #s(approx (- 1 x) (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) #<representation binary64>) () ()) |
#s(alt (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 x #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ()) |
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* y (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ x (- 1 y)) (fma.f64 y x x)) (patch #s(approx (/ x (- 1 y)) (fma.f64 y x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x y)) (taylor 0 y) (#s(alt #s(approx (/ x (- 1 y)) (fma.f64 y x x)) (patch #s(approx (/ x (- 1 y)) (fma.f64 y x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (* x y) (* -1 x)))) (taylor 0 y) (#s(alt #s(approx (/ x (- 1 y)) (fma.f64 y x x)) (patch #s(approx (/ x (- 1 y)) (fma.f64 y x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (* y (- (* x y) (* -1 x))) (* -1 x)))) (taylor 0 y) (#s(alt #s(approx (/ x (- 1 y)) (fma.f64 y x x)) (patch #s(approx (/ x (- 1 y)) (fma.f64 y x x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x y)) (taylor 0 y) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x y)) (taylor 0 y) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x y)) (taylor 0 y) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* y (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 y) (#s(alt #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)) (patch #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* -1 y) 1)) (taylor 0 y) (#s(alt #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)) (patch #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* y (- (* -1 y) 1)) 1)) (taylor 0 y) (#s(alt #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)) (patch #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* y (- (* y (- (* -1 y) 1)) 1)) 1)) (taylor 0 y) (#s(alt #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)) (patch #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal -1 binary64) y) y) (patch (*.f64 (-.f64 #s(literal -1 binary64) y) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* -1 y) 1)) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal -1 binary64) y) y) (patch (*.f64 (-.f64 #s(literal -1 binary64) y) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* -1 y) 1)) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal -1 binary64) y) y) (patch (*.f64 (-.f64 #s(literal -1 binary64) y) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* -1 y) 1)) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal -1 binary64) y) y) (patch (*.f64 (-.f64 #s(literal -1 binary64) y) 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) 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) 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) 1) (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) (- 1 y)) (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64))) (patch #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* y (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64))) (patch #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64))) (patch #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64))) (patch #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 1 x) y) (taylor 0 y) (#s(alt (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64)) (patch (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 1 y) x) y) (taylor 0 y) (#s(alt (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64)) (patch (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 1 y) x) y) (taylor 0 y) (#s(alt (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64)) (patch (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 1 y) x) y) (taylor 0 y) (#s(alt (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64)) (patch (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 1 x) y) (taylor 0 y) (#s(alt (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) (patch (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 1 x) y) (taylor 0 y) (#s(alt (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) (patch (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 1 x) y) (taylor 0 y) (#s(alt (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) (patch (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 1 x) y) (taylor 0 y) (#s(alt (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) (patch (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* y (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 x #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x y)) (taylor 0 y) (#s(alt (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 x #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (* x y) (* -1 x)))) (taylor 0 y) (#s(alt (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 x #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (* y (- (* x y) (* -1 x))) (* -1 x)))) (taylor 0 y) (#s(alt (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 x #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor inf y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1 (/ x y)) (/ 1 y))) (taylor inf y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) (taylor inf y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) (taylor inf y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x y)) (taylor inf y) (#s(alt #s(approx (/ x (- 1 y)) (fma.f64 y x x)) (patch #s(approx (/ x (- 1 y)) (fma.f64 y x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 x) (* -1 (/ x y))) y) (taylor inf y) (#s(alt #s(approx (/ x (- 1 y)) (fma.f64 y x x)) (patch #s(approx (/ x (- 1 y)) (fma.f64 y x x)) #<representation binary64>) () ())) ()) |
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#s(alt (* x (- (+ (/ 1 x) (/ 1 (* x y))) (/ 1 y))) (taylor inf x) (#s(alt (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64)) (patch (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ (/ 1 x) (/ 1 (* x y))) (/ 1 y))) (taylor inf x) (#s(alt (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64)) (patch (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x y)) (taylor inf x) (#s(alt (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) (patch (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 (* x y)) (/ 1 y))) (taylor inf x) (#s(alt (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) (patch (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 (* x y)) (/ 1 y))) (taylor inf x) (#s(alt (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) (patch (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 (* x y)) (/ 1 y))) (taylor inf x) (#s(alt (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) (patch (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt #s(approx (- 1 x) (neg.f64 x)) (patch #s(approx (- 1 x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt #s(approx (- 1 x) (neg.f64 x)) (patch #s(approx (- 1 x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt #s(approx (- 1 x) (neg.f64 x)) (patch #s(approx (- 1 x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt #s(approx (- 1 x) (neg.f64 x)) (patch #s(approx (- 1 x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 y)) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 y)) (taylor inf x) (#s(alt (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 x #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 y)) (taylor inf x) (#s(alt (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 x #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 y)) (taylor inf x) (#s(alt (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 x #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 y)) (taylor inf x) (#s(alt (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 x #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt #s(approx (/ x (- 1 y)) (fma.f64 y x x)) (patch #s(approx (/ x (- 1 y)) (fma.f64 y x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt #s(approx (/ x (- 1 y)) (fma.f64 y x x)) (patch #s(approx (/ x (- 1 y)) (fma.f64 y x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt #s(approx (/ x (- 1 y)) (fma.f64 y x x)) (patch #s(approx (/ x (- 1 y)) (fma.f64 y x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt #s(approx (/ x (- 1 y)) (fma.f64 y x x)) (patch #s(approx (/ x (- 1 y)) (fma.f64 y x x)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 x) (taylor -inf x) (#s(alt #s(approx (- 1 x) (neg.f64 x)) (patch #s(approx (- 1 x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
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#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 x #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 x #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 x #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 x #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | 0 | ((/ (- x y) (- 1 y)) (/ x (- 1 y)) (+ (* y x) x) (/ (- x y) (- 1 y)) (/ y (- y 1)) (* (- -1 y) y) (- -1 y) (/ (- x y) (- 1 y)) (- (/ (- 1 x) y) -1) (/ (- 1 x) y) (- 1 x) (/ (- x y) (- 1 y)) (/ x (- 1 y)) (- 1 y) (neg y) (neg x)) |
| 1.0ms | x | @ | -inf | ((/ (- x y) (- 1 y)) (/ x (- 1 y)) (+ (* y x) x) (/ (- x y) (- 1 y)) (/ y (- y 1)) (* (- -1 y) y) (- -1 y) (/ (- x y) (- 1 y)) (- (/ (- 1 x) y) -1) (/ (- 1 x) y) (- 1 x) (/ (- x y) (- 1 y)) (/ x (- 1 y)) (- 1 y) (neg y) (neg x)) |
| 1.0ms | x | @ | inf | ((/ (- x y) (- 1 y)) (/ x (- 1 y)) (+ (* y x) x) (/ (- x y) (- 1 y)) (/ y (- y 1)) (* (- -1 y) y) (- -1 y) (/ (- x y) (- 1 y)) (- (/ (- 1 x) y) -1) (/ (- 1 x) y) (- 1 x) (/ (- x y) (- 1 y)) (/ x (- 1 y)) (- 1 y) (neg y) (neg x)) |
| 1.0ms | y | @ | 0 | ((/ (- x y) (- 1 y)) (/ x (- 1 y)) (+ (* y x) x) (/ (- x y) (- 1 y)) (/ y (- y 1)) (* (- -1 y) y) (- -1 y) (/ (- x y) (- 1 y)) (- (/ (- 1 x) y) -1) (/ (- 1 x) y) (- 1 x) (/ (- x y) (- 1 y)) (/ x (- 1 y)) (- 1 y) (neg y) (neg x)) |
| 1.0ms | y | @ | -inf | ((/ (- x y) (- 1 y)) (/ x (- 1 y)) (+ (* y x) x) (/ (- x y) (- 1 y)) (/ y (- y 1)) (* (- -1 y) y) (- -1 y) (/ (- x y) (- 1 y)) (- (/ (- 1 x) y) -1) (/ (- 1 x) y) (- 1 x) (/ (- x y) (- 1 y)) (/ x (- 1 y)) (- 1 y) (neg y) (neg x)) |
| 1× | egg-herbie |
| 17 764× | lower-fma.f64 |
| 17 764× | lower-fma.f32 |
| 3 580× | lower-*.f64 |
| 3 580× | lower-*.f32 |
| 2 340× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 169 | 2195 |
| 1 | 513 | 2071 |
| 2 | 1402 | 1946 |
| 3 | 5455 | 1946 |
| 0 | 8478 | 1894 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
x |
(+ x (* x y)) |
(+ x (* y (- (* x y) (* -1 x)))) |
(+ x (* y (- (* y (- (* x y) (* -1 x))) (* -1 x)))) |
x |
(+ x (* x y)) |
(+ x (* x y)) |
(+ x (* x y)) |
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(* -1 y) |
(* y (- (* -1 y) 1)) |
(* y (- (* y (- (* -1 y) 1)) 1)) |
(* y (- (* y (- (* y (- (* -1 y) 1)) 1)) 1)) |
(* -1 y) |
(* y (- (* -1 y) 1)) |
(* y (- (* -1 y) 1)) |
(* y (- (* -1 y) 1)) |
-1 |
(- (* -1 y) 1) |
(- (* -1 y) 1) |
(- (* -1 y) 1) |
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(/ (- 1 x) y) |
(/ (- (+ 1 y) x) y) |
(/ (- (+ 1 y) x) y) |
(/ (- (+ 1 y) x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
x |
(+ x (* x y)) |
(+ x (* y (- (* x y) (* -1 x)))) |
(+ x (* y (- (* y (- (* x y) (* -1 x))) (* -1 x)))) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
1 |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
(* -1 (/ x y)) |
(/ (+ (* -1 x) (* -1 (/ x y))) y) |
(/ (- (+ (* -1 x) (* -1 (/ x (pow y 2)))) (/ x y)) y) |
(/ (- (+ (* -1 x) (* -1 (/ x (pow y 3)))) (+ (/ x y) (/ x (pow y 2)))) y) |
(* x y) |
(* y (+ x (/ x y))) |
(* y (+ x (/ x y))) |
(* y (+ x (/ x y))) |
1 |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
1 |
(+ 1 (/ 1 y)) |
(+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) |
(+ 1 (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))) |
(* -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)))) |
(* -1 y) |
(* -1 (* y (+ 1 (/ 1 y)))) |
(* -1 (* y (+ 1 (/ 1 y)))) |
(* -1 (* y (+ 1 (/ 1 y)))) |
1 |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
1 |
(- (+ 1 (/ 1 y)) (/ x y)) |
(- (+ 1 (/ 1 y)) (/ x y)) |
(- (+ 1 (/ 1 y)) (/ x y)) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
1 |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
(* -1 (/ x y)) |
(/ (+ (* -1 x) (* -1 (/ x y))) y) |
(/ (- (+ (* -1 x) (* -1 (/ x (pow y 2)))) (/ x y)) y) |
(/ (- (+ (* -1 x) (* -1 (/ x (pow y 3)))) (+ (/ x y) (/ x (pow y 2)))) y) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
1 |
(+ 1 (* -1 (/ (- x 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
(* -1 (/ x y)) |
(* -1 (/ (+ x (/ x y)) y)) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ x y)) x) y))) y)) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ x y) (* -1 x)) y)) x) y))) y)) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
1 |
(+ 1 (* -1 (/ (- x 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
1 |
(+ 1 (/ 1 y)) |
(+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) 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)))) |
(* -1 y) |
(* -1 (* y (+ 1 (/ 1 y)))) |
(* -1 (* y (+ 1 (/ 1 y)))) |
(* -1 (* y (+ 1 (/ 1 y)))) |
1 |
(+ 1 (* -1 (/ (- x 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
1 |
(- (+ 1 (/ 1 y)) (/ x y)) |
(- (+ 1 (/ 1 y)) (/ x y)) |
(- (+ 1 (/ 1 y)) (/ x y)) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
1 |
(+ 1 (* -1 (/ (- x 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
(* -1 (/ x y)) |
(* -1 (/ (+ x (/ x y)) y)) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ x y)) x) y))) y)) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ x y) (* -1 x)) y)) x) y))) y)) |
(* -1 y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 (/ y (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* -1 (/ y (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(* -1 (/ y (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ 1 (/ 1 y)) |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(/ 1 y) |
(+ (* -1 (/ x y)) (/ 1 y)) |
(+ (* -1 (/ x y)) (/ 1 y)) |
(+ (* -1 (/ x y)) (/ 1 y)) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(* -1 (/ y (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ x (- 1 y)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* 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)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(/ x (- 1 y)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* -1 (/ x y)) |
(* x (- (+ (/ 1 x) (/ 1 (* x y))) (/ 1 y))) |
(* x (- (+ (/ 1 x) (/ 1 (* x y))) (/ 1 y))) |
(* x (- (+ (/ 1 x) (/ 1 (* x y))) (/ 1 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 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ x (- 1 y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (* -1 y) 1))) |
(/ x (- 1 y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(/ x (- 1 y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (/ 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 (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
| Outputs |
|---|
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (-.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) y) x) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (fma.f64 (-.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 x #s(literal 1 binary64))) y x) |
x |
(+ x (* x y)) |
(fma.f64 y x x) |
(+ x (* y (- (* x y) (* -1 x)))) |
(fma.f64 (fma.f64 y x x) y x) |
(+ x (* y (- (* y (- (* x y) (* -1 x))) (* -1 x)))) |
(fma.f64 (fma.f64 (fma.f64 y x x) y x) y x) |
x |
(+ x (* x y)) |
(fma.f64 y x x) |
(+ x (* x y)) |
(fma.f64 y x x) |
(+ x (* x y)) |
(fma.f64 y x x) |
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (-.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) y) x) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (fma.f64 (-.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 x #s(literal 1 binary64))) y x) |
(* -1 y) |
(neg.f64 y) |
(* y (- (* -1 y) 1)) |
(*.f64 (-.f64 #s(literal -1 binary64) y) y) |
(* y (- (* y (- (* -1 y) 1)) 1)) |
(*.f64 (fma.f64 (-.f64 #s(literal -1 binary64) y) y #s(literal -1 binary64)) y) |
(* y (- (* y (- (* y (- (* -1 y) 1)) 1)) 1)) |
(*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1 binary64) y) y #s(literal -1 binary64)) y #s(literal -1 binary64)) y) |
(* -1 y) |
(neg.f64 y) |
(* y (- (* -1 y) 1)) |
(*.f64 (-.f64 #s(literal -1 binary64) y) y) |
(* y (- (* -1 y) 1)) |
(*.f64 (-.f64 #s(literal -1 binary64) y) y) |
(* y (- (* -1 y) 1)) |
(*.f64 (-.f64 #s(literal -1 binary64) y) y) |
-1 |
#s(literal -1 binary64) |
(- (* -1 y) 1) |
(-.f64 #s(literal -1 binary64) y) |
(- (* -1 y) 1) |
(-.f64 #s(literal -1 binary64) y) |
(- (* -1 y) 1) |
(-.f64 #s(literal -1 binary64) y) |
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (-.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) y) x) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (fma.f64 (-.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 x #s(literal 1 binary64))) y x) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- (+ 1 y) x) y) |
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) x) y) |
(/ (- (+ 1 y) x) y) |
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) x) y) |
(/ (- (+ 1 y) x) y) |
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (-.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) y) x) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (fma.f64 (-.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 x #s(literal 1 binary64))) y x) |
x |
(+ x (* x y)) |
(fma.f64 y x x) |
(+ x (* y (- (* x y) (* -1 x)))) |
(fma.f64 (fma.f64 y x x) y x) |
(+ x (* y (- (* y (- (* x y) (* -1 x))) (* -1 x)))) |
(fma.f64 (fma.f64 (fma.f64 y x x) y 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) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
1 |
#s(literal 1 binary64) |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) x) y) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) x) y) x) y) #s(literal -1 binary64)) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
(+.f64 (-.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(/ (+ (* -1 x) (* -1 (/ x y))) y) |
(/.f64 (-.f64 (/.f64 (neg.f64 x) y) x) y) |
(/ (- (+ (* -1 x) (* -1 (/ x (pow y 2)))) (/ x y)) y) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 x y) x) y) x) (neg.f64 y)) |
(/ (- (+ (* -1 x) (* -1 (/ x (pow y 3)))) (+ (/ x y) (/ x (pow y 2)))) y) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 x y) x) y) x) y) x) (neg.f64 y)) |
(* x y) |
(*.f64 y x) |
(* y (+ x (/ x y))) |
(fma.f64 y x x) |
(* y (+ x (/ x y))) |
(fma.f64 y x x) |
(* y (+ x (/ x y))) |
(fma.f64 y x x) |
1 |
#s(literal 1 binary64) |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) x) y) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) x) y) x) y) #s(literal -1 binary64)) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
(+.f64 (-.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ 1 y)) |
(/.f64 (-.f64 y #s(literal -1 binary64)) y) |
(+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) |
(-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(+ 1 (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))) |
(-.f64 (+.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) (/.f64 #s(literal -1 binary64) 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) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (+ 1 (/ 1 y)))) |
(-.f64 #s(literal -1 binary64) y) |
(* -1 (* y (+ 1 (/ 1 y)))) |
(-.f64 #s(literal -1 binary64) y) |
(* -1 (* y (+ 1 (/ 1 y)))) |
(-.f64 #s(literal -1 binary64) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) x) y) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) x) y) x) y) #s(literal -1 binary64)) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
(+.f64 (-.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64)) y)) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (/ 1 y)) (/ x y)) |
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) x) y) |
(- (+ 1 (/ 1 y)) (/ x y)) |
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) x) y) |
(- (+ 1 (/ 1 y)) (/ x y)) |
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) x) y) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) x) y) x) y) #s(literal -1 binary64)) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
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(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
| 5 552× | lower-fma.f32 |
| 5 550× | lower-fma.f64 |
| 4 092× | lower-/.f32 |
| 4 088× | lower-/.f64 |
| 3 448× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 146 |
| 0 | 36 | 146 |
| 1 | 153 | 146 |
| 2 | 1125 | 146 |
| 0 | 8790 | 146 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) |
#s(approx (/ x (- 1 y)) (fma.f64 y x x)) |
(fma.f64 y x x) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) |
#s(approx (/ y (- y 1)) (*.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) (- 1 y)) (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64)) |
(/.f64 #s(approx (- 1 x) (neg.f64 x)) y) |
#s(approx (- 1 x) (neg.f64 x)) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) |
(/.f64 x #s(approx (- 1 y) (neg.f64 y))) |
#s(approx (- 1 y) (neg.f64 y)) |
(neg.f64 y) |
(neg.f64 x) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) |
#s(approx (/ x (- 1 y)) (fma.f64 y x x)) |
(*.f64 (*.f64 x (-.f64 x (*.f64 (*.f64 y x) y))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) y)))) |
(*.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 y x))))))) |
(*.f64 (-.f64 y #s(literal -1 binary64)) x) |
(*.f64 (*.f64 x (-.f64 (*.f64 (*.f64 y x) y) x)) (pow.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 x x) (*.f64 y (-.f64 y #s(literal 1 binary64))))))) |
(*.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 y x)))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 y x x)) |
(*.f64 x (-.f64 y #s(literal -1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x x)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x (-.f64 y #s(literal 1 binary64)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x (-.f64 y #s(literal 1 binary64))))) (*.f64 (/.f64 (*.f64 x x) (*.f64 x (-.f64 y #s(literal 1 binary64)))) (/.f64 (*.f64 x x) (*.f64 x (-.f64 y #s(literal 1 binary64)))))) (+.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x (-.f64 y #s(literal 1 binary64)))) (/.f64 (*.f64 x x) (*.f64 x (-.f64 y #s(literal 1 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (*.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x (-.f64 y #s(literal 1 binary64)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x (-.f64 y #s(literal 1 binary64)))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 x (-.f64 y #s(literal 1 binary64)))) (/.f64 (*.f64 x x) (*.f64 x (-.f64 y #s(literal 1 binary64)))) (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x (-.f64 y #s(literal 1 binary64)))) (/.f64 (*.f64 x x) (*.f64 x (-.f64 y #s(literal 1 binary64)))))))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 x (*.f64 (*.f64 y x) y)))) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 y x))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x (-.f64 y #s(literal 1 binary64)))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 x x))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 x (-.f64 y #s(literal 1 binary64))))) |
(/.f64 (*.f64 x (-.f64 x (*.f64 (*.f64 y x) y))) (*.f64 x (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 x x) (*.f64 y (-.f64 y #s(literal 1 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 y x)))))) |
(/.f64 (*.f64 x (-.f64 (*.f64 (*.f64 y x) y) x)) (*.f64 x (-.f64 y #s(literal 1 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 (*.f64 x x) (*.f64 y (-.f64 y #s(literal 1 binary64)))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 y x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (*.f64 x x) (*.f64 y (-.f64 y #s(literal 1 binary64))))) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y x x))) |
(neg.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (*.f64 y x) y))) (*.f64 x (-.f64 y #s(literal 1 binary64))))) |
(neg.f64 (/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 y x)))))) |
(neg.f64 (/.f64 (*.f64 x (-.f64 (*.f64 (*.f64 y x) y) x)) (*.f64 x (-.f64 #s(literal 1 binary64) y)))) |
(neg.f64 (/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 y x))))))) |
(fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (-.f64 y #s(literal 1 binary64)))))) |
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (*.f64 y x)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 y x)) |
(fma.f64 #s(literal 1 binary64) x (*.f64 y x)) |
(fma.f64 y x x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 y x)) |
(fma.f64 x y x) |
(-.f64 (/.f64 (*.f64 x x) (*.f64 x (-.f64 #s(literal 1 binary64) y))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) y)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x (-.f64 y #s(literal 1 binary64)))) (/.f64 (*.f64 x x) (*.f64 x (-.f64 y #s(literal 1 binary64))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x (-.f64 y #s(literal 1 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (-.f64 y #s(literal 1 binary64)))))) |
(+.f64 (*.f64 y x) x) |
(+.f64 x (*.f64 y x)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) |
#s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (fma.f64 y y #s(literal -1 binary64))) (/.f64 y (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 y (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) y) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) y) (pow.f64 (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (+.f64 y (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 y (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal -1 binary64) y) y) |
(*.f64 (-.f64 y #s(literal -1 binary64)) (neg.f64 y)) |
(*.f64 y (-.f64 #s(literal -1 binary64) y)) |
(/.f64 (-.f64 (*.f64 y y) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 y) y))) (-.f64 (neg.f64 y) (*.f64 (neg.f64 y) y))) |
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (*.f64 (neg.f64 y) y) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 y) y)) (*.f64 (neg.f64 y) (*.f64 (neg.f64 y) y))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) y)) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) y)) (neg.f64 (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (+.f64 y (pow.f64 (neg.f64 y) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 (neg.f64 (*.f64 y (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) y) (-.f64 y #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) y) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (+.f64 y (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (-.f64 y #s(literal 1 binary64))) |
(/.f64 (*.f64 y (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) (+.f64 y (pow.f64 (neg.f64 y) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 y (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))))) |
(/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y))) |
(fma.f64 (*.f64 (neg.f64 y) y) (pow.f64 y #s(literal -1 binary64)) (*.f64 (neg.f64 y) y)) |
(fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (neg.f64 y) y)) |
(fma.f64 (neg.f64 y) #s(literal 1 binary64) (*.f64 (neg.f64 y) y)) |
(fma.f64 (neg.f64 y) y (neg.f64 y)) |
(fma.f64 #s(literal -1 binary64) (*.f64 y y) (neg.f64 y)) |
(fma.f64 #s(literal -1 binary64) y (*.f64 (neg.f64 y) y)) |
(fma.f64 #s(literal 1 binary64) (neg.f64 y) (*.f64 (neg.f64 y) y)) |
(fma.f64 y (neg.f64 y) (neg.f64 y)) |
(fma.f64 y #s(literal -1 binary64) (*.f64 (neg.f64 y) y)) |
(+.f64 (*.f64 (neg.f64 y) y) (neg.f64 y)) |
(+.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal -1 binary64) y) y)) |
(+.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) |
(*.f64 (-.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) |
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (-.f64 y #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))))) (+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 y y) (-.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 y y) (-.f64 y #s(literal 1 binary64))))) (+.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 y y) (-.f64 y #s(literal 1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (-.f64 y #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (*.f64 y y) (-.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 y y) (-.f64 y #s(literal 1 binary64))) (*.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 y y) (-.f64 y #s(literal 1 binary64))))))) |
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64) #s(literal -1 binary64)) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y))) (-.f64 y #s(literal 1 binary64))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) |
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(fma.f64 (pow.f64 (/.f64 y #s(approx (- 1 x) (neg.f64 x))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y #s(approx (- 1 x) (neg.f64 x))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) #s(approx (- 1 x) (neg.f64 x)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)) (pow.f64 (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 3 binary64)) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y)) (pow.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y)) (pow.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)))))) |
(fma.f64 (neg.f64 #s(approx (- 1 x) (neg.f64 x))) (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(approx (- 1 x) (neg.f64 x)) (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) (neg.f64 y)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)) (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 1 binary64))) (pow.f64 (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y)) (pow.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y)) (pow.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64))))) |
(-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) (neg.f64 y))) |
(+.f64 (/.f64 (pow.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)) (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 1 binary64))) (neg.f64 (pow.f64 (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(+.f64 (/.f64 (pow.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y)) (pow.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)))) (neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y)) (pow.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)))))) |
(+.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 #s(approx (- 1 x) (neg.f64 x))) (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) (neg.f64 y)) #s(literal -1 binary64))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y)) |
(*.f64 (pow.f64 (/.f64 y #s(approx (- 1 x) (neg.f64 x))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y #s(approx (- 1 x) (neg.f64 x))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) #s(approx (- 1 x) (neg.f64 x))) |
(*.f64 (neg.f64 #s(approx (- 1 x) (neg.f64 x))) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 1 binary64)) |
(*.f64 #s(approx (- 1 x) (neg.f64 x)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) (neg.f64 y))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y)) |
(pow.f64 (/.f64 y #s(approx (- 1 x) (neg.f64 x))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 1 binary64))) (neg.f64 y)) |
(/.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 1 binary64)) y) |
(/.f64 (neg.f64 #s(approx (- 1 x) (neg.f64 x))) (neg.f64 y)) |
(/.f64 #s(approx (- 1 x) (neg.f64 x)) y) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) #s(approx (- 1 x) (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 y #s(approx (- 1 x) (neg.f64 x)))) |
(neg.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) (neg.f64 y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 #s(approx (- 1 x) (neg.f64 x)) (neg.f64 y))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) (neg.f64 y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y #s(approx (- 1 x) (neg.f64 x)))) #s(literal -1 binary64))) |
(*.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (- 1 x) (neg.f64 x)))) |
(*.f64 #s(literal 1 binary64) #s(approx (- 1 x) (neg.f64 x))) |
#s(approx (- 1 x) (neg.f64 x)) |
(neg.f64 (neg.f64 #s(approx (- 1 x) (neg.f64 x)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (- 1 x) (neg.f64 x)))) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) |
(*.f64 (pow.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) x) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- 1 y) (neg.f64 y)))) |
(*.f64 (pow.f64 #s(approx (- 1 y) (neg.f64 y)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(approx (- 1 y) (neg.f64 y)) #s(literal -1 binary64)) x) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) #s(approx (- 1 y) (neg.f64 y)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) #s(approx (- 1 y) (neg.f64 y)))) |
(*.f64 #s(literal 1 binary64) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) |
(*.f64 x (pow.f64 #s(approx (- 1 y) (neg.f64 y)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) x) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 x) #s(approx (- 1 y) (neg.f64 y))) (/.f64 (neg.f64 x) #s(approx (- 1 y) (neg.f64 y))))) (+.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) #s(approx (- 1 y) (neg.f64 y))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (neg.f64 x) #s(approx (- 1 y) (neg.f64 y))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (neg.f64 x) #s(approx (- 1 y) (neg.f64 y))) (/.f64 (neg.f64 x) #s(approx (- 1 y) (neg.f64 y))) (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) #s(approx (- 1 y) (neg.f64 y))))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 #s(approx (- 1 y) (neg.f64 y)))) (*.f64 (neg.f64 #s(approx (- 1 y) (neg.f64 y))) x)) (*.f64 (neg.f64 #s(approx (- 1 y) (neg.f64 y))) (neg.f64 #s(approx (- 1 y) (neg.f64 y))))) |
(/.f64 (neg.f64 x) (neg.f64 #s(approx (- 1 y) (neg.f64 y)))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (- 1 y) (neg.f64 y)) (neg.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 y) (neg.f64 y)) x)) |
(/.f64 x #s(approx (- 1 y) (neg.f64 y))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(approx (- 1 y) (neg.f64 y)) x))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(approx (- 1 y) (neg.f64 y))))) |
(neg.f64 (/.f64 (neg.f64 x) #s(approx (- 1 y) (neg.f64 y)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) #s(approx (- 1 y) (neg.f64 y)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) x)) #s(literal -1 binary64))) |
(+.f64 #s(literal 0 binary64) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) |
(*.f64 #s(approx (- 1 y) (neg.f64 y)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (- 1 y) (neg.f64 y)))) |
(*.f64 #s(literal 1 binary64) #s(approx (- 1 y) (neg.f64 y))) |
#s(approx (- 1 y) (neg.f64 y)) |
(/.f64 (neg.f64 #s(approx (- 1 y) (neg.f64 y))) #s(literal -1 binary64)) |
(/.f64 #s(approx (- 1 y) (neg.f64 y)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (- 1 y) (neg.f64 y)) #s(literal -1 binary64))) |
(neg.f64 (neg.f64 #s(approx (- 1 y) (neg.f64 y)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (- 1 y) (neg.f64 y)))) |
(*.f64 (*.f64 (neg.f64 y) y) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(*.f64 (neg.f64 y) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) y) |
(*.f64 #s(literal 1 binary64) (neg.f64 y)) |
(*.f64 y #s(literal -1 binary64)) |
(/.f64 (neg.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (*.f64 (neg.f64 y) y)) |
(/.f64 (*.f64 (neg.f64 y) y) y) |
(/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) (*.f64 #s(literal 0 binary64) (neg.f64 y))))) |
(/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (*.f64 y y)) |
(/.f64 (*.f64 y y) (neg.f64 y)) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))) |
(neg.f64 y) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 y y))) |
(-.f64 (/.f64 #s(literal 0 binary64) y) y) |
(-.f64 #s(literal 0 binary64) y) |
(+.f64 #s(literal 0 binary64) (neg.f64 y)) |
(*.f64 (*.f64 (neg.f64 x) x) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (neg.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 #s(literal 1 binary64) (neg.f64 x)) |
(*.f64 x #s(literal -1 binary64)) |
(/.f64 (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (*.f64 (neg.f64 x) x)) |
(/.f64 (*.f64 (neg.f64 x) x) x) |
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (neg.f64 x))))) |
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 x x)) |
(/.f64 (*.f64 x x) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (neg.f64 x) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) |
(neg.f64 x) |
(-.f64 (/.f64 #s(literal 0 binary64) x) x) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x))) |
(-.f64 #s(literal 0 binary64) x) |
(+.f64 #s(literal 0 binary64) (neg.f64 x)) |
Compiled 7 776 to 1 358 computations (82.5% saved)
15 alts after pruning (5 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 579 | 5 | 584 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 4 | 4 |
| Done | 1 | 6 | 7 |
| Total | 580 | 15 | 595 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 53.3% | #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) |
| ✓ | 51.1% | #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) |
| ✓ | 50.2% | #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
| ✓ | 12.3% | #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) |
| ✓ | 47.6% | #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64))) |
| 15.7% | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (fma.f64 (neg.f64 y) y (neg.f64 y)))) | |
| 15.7% | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (+.f64 (*.f64 (neg.f64 y) y) (neg.f64 y)))) | |
| ✓ | 15.6% | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) |
| 2.5% | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y))) | |
| ✓ | 16.6% | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) |
| ✓ | 39.8% | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x))) |
| ✓ | 39.8% | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) |
| 39.8% | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (*.f64 (-.f64 y #s(literal -1 binary64)) x))) | |
| 3.3% | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) #s(approx (+ (* y x) x) (*.f64 y x)))) | |
| ✓ | 37.4% | #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
Compiled 231 to 158 computations (31.6% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) #s(approx (+ (* y x) x) (*.f64 y x)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (*.f64 (-.f64 y #s(literal -1 binary64)) x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (fma.f64 (neg.f64 y) y (neg.f64 y)))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 x (-.f64 y #s(literal -1 binary64)) (neg.f64 y))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (+.f64 (*.f64 (neg.f64 y) y) (neg.f64 y)))) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) |
#s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64))) |
(/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) |
#s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) |
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| Outputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
3 calls:
| 9.0ms | x |
| 6.0ms | y |
| 6.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
Compiled 9 to 10 computations (-11.1% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) #s(approx (+ (* y x) x) (*.f64 y x)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (*.f64 (-.f64 y #s(literal -1 binary64)) x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (fma.f64 (neg.f64 y) y (neg.f64 y)))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 x (-.f64 y #s(literal -1 binary64)) (neg.f64 y))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (+.f64 (*.f64 (neg.f64 y) y) (neg.f64 y)))) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) |
#s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64))) |
(/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) |
#s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) |
#s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) |
3 calls:
| 8.0ms | y |
| 6.0ms | x |
| 6.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.7% | 3 | x |
| 98.2% | 3 | y |
| 99.2% | 4 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
Compiled 9 to 10 computations (-11.1% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) #s(approx (+ (* y x) x) (*.f64 y x)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (*.f64 (-.f64 y #s(literal -1 binary64)) x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (fma.f64 (neg.f64 y) y (neg.f64 y)))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 x (-.f64 y #s(literal -1 binary64)) (neg.f64 y))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (+.f64 (*.f64 (neg.f64 y) y) (neg.f64 y)))) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) |
#s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64))) |
(/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) |
#s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64))) |
1 calls:
| 6.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.9% | 3 | y |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) #s(approx (+ (* y x) x) (*.f64 y x)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (*.f64 (-.f64 y #s(literal -1 binary64)) x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (fma.f64 (neg.f64 y) y (neg.f64 y)))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 x (-.f64 y #s(literal -1 binary64)) (neg.f64 y))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (+.f64 (*.f64 (neg.f64 y) y) (neg.f64 y)))) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
2 calls:
| 8.0ms | y |
| 5.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 4 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 88.2% | 3 | y |
Compiled 8 to 8 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) #s(approx (+ (* y x) x) (*.f64 y x)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (*.f64 (-.f64 y #s(literal -1 binary64)) x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (fma.f64 (neg.f64 y) y (neg.f64 y)))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 x (-.f64 y #s(literal -1 binary64)) (neg.f64 y))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (+.f64 (*.f64 (neg.f64 y) y) (neg.f64 y)))) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) |
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
1 calls:
| 5.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.6% | 4 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
Compiled 7 to 6 computations (14.3% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) #s(approx (+ (* y x) x) (*.f64 y x)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (*.f64 (-.f64 y #s(literal -1 binary64)) x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (fma.f64 (neg.f64 y) y (neg.f64 y)))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 x (-.f64 y #s(literal -1 binary64)) (neg.f64 y))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (+.f64 (*.f64 (neg.f64 y) y) (neg.f64 y)))) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) |
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
2 calls:
| 8.0ms | y |
| 5.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.6% | 3 | y |
| 87.6% | 3 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
Compiled 8 to 8 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) #s(approx (+ (* y x) x) (*.f64 y x)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (*.f64 (-.f64 y #s(literal -1 binary64)) x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) |
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) |
2 calls:
| 3.0ms | y |
| 3.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.3% | 3 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 87.2% | 3 | y |
Compiled 8 to 8 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) #s(approx (+ (* y x) x) (*.f64 y x)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) |
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
3 calls:
| 2.0ms | x |
| 2.0ms | y |
| 2.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.9% | 4 | x |
| 74.0% | 3 | y |
| 73.8% | 3 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
Compiled 9 to 10 computations (-11.1% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) #s(approx (+ (* y x) x) (*.f64 y x)))) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) |
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
2 calls:
| 6.0ms | y |
| 2.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.8% | 2 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 50.3% | 3 | y |
Compiled 8 to 8 computations (0% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
3 calls:
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 37.4% | 1 | y |
| 37.4% | 1 | x |
| 37.4% | 1 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
Compiled 9 to 10 computations (-11.1% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 0.8295319712700094 | 5.338035702433106 |
| 12.0ms | -233884232.93521383 | -1.5331926768865806e-6 |
| 15.0ms | 256× | 0 | valid |
Compiled 250 to 267 computations (-6.8% saved)
ival-div: 6.0ms (62.2% of total)ival-sub: 3.0ms (31.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.8295319712700094 | 5.338035702433106 |
| 6.0ms | -233884232.93521383 | -1.5331926768865806e-6 |
| 3.0ms | 80× | 0 | valid |
Compiled 250 to 267 computations (-6.8% saved)
ival-sub: 1.0ms (71.5% of total)ival-div: 1.0ms (71.5% 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 | 1.0062569385104623 | 538967588.4498804 |
| 0.0ms | 4.5469653862413196e-10 | 3.564442525218067e-8 |
| 0.0ms | -2.7866323014821344 | -0.00021653604399705231 |
Compiled 10 to 11 computations (-10% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0062569385104623 | 538967588.4498804 |
| 0.0ms | 3.564442525218067e-8 | 0.9726924967854529 |
| 0.0ms | -2.7866323014821344 | -0.00021653604399705231 |
Compiled 10 to 11 computations (-10% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.8295319712700094 | 5.338035702433106 |
| 1.0ms | -233884232.93521383 | -1.5331926768865806e-6 |
Compiled 154 to 203 computations (-31.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1786994345688.2747 | 11865989738465.545 |
| 4.0ms | 3.564442525218067e-8 | 0.9726924967854529 |
Compiled 10 to 11 computations (-10% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.8295319712700094 | 5.338035702433106 |
| 3.0ms | -233884232.93521383 | -1.5331926768865806e-6 |
| 1.0ms | 32× | 0 | valid |
Compiled 138 to 187 computations (-35.5% saved)
ival-sub: 0.0ms (0% of total)ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.564442525218067e-8 | 0.9726924967854529 |
Compiled 10 to 11 computations (-10% saved)
| 1× | egg-herbie |
| 24× | +-commutative-binary64-+.f64 |
| 22× | sub-neg-binary64-neg.f64-+.f64--.f64 |
| 8× | neg-sub0-binary64--.f64-neg.f64 |
| 8× | neg-mul-1-binary64-*.f64-neg.f64 |
| 6× | *-commutative-binary64-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 75 | 474 |
| 1 | 91 | 474 |
| 2 | 106 | 474 |
| 3 | 116 | 474 |
| 4 | 117 | 474 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))))) |
(if (<=.f64 y #s(literal -7746191359077253/9007199254740992 binary64)) #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal -2 binary64)) #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 4835703278458517/9671406556917033397649408 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal -2 binary64)) #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 944473296573929/18889465931478580854784 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 944473296573929/18889465931478580854784 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 2000000000000 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))))) |
(if (<=.f64 y #s(literal -3/4 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 944473296573929/18889465931478580854784 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))) |
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
| Outputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))))) |
(if (<=.f64 y #s(literal -7746191359077253/9007199254740992 binary64)) #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal -2 binary64)) #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 4835703278458517/9671406556917033397649408 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal -2 binary64)) #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 944473296573929/18889465931478580854784 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 944473296573929/18889465931478580854784 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 2000000000000 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))))) |
(if (<=.f64 y #s(literal -3/4 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 944473296573929/18889465931478580854784 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))) |
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
| 15 114× | lower-fma.f64 |
| 15 114× | lower-fma.f32 |
| 14 586× | lower-fma.f64 |
| 14 586× | lower-fma.f32 |
| 13 832× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 176 | 2108 |
| 1 | 511 | 1925 |
| 2 | 1402 | 1831 |
| 3 | 4602 | 1705 |
| 0 | 8546 | 1638 |
| 0 | 200 | 2697 |
| 1 | 636 | 2546 |
| 2 | 1782 | 2421 |
| 3 | 5784 | 2421 |
| 0 | 8435 | 2292 |
| 0 | 96 | 384 |
| 1 | 281 | 358 |
| 2 | 787 | 338 |
| 3 | 2726 | 311 |
| 4 | 7421 | 311 |
| 0 | 8109 | 302 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 363 to 182 computations (49.9% saved)
Compiled 538 to 146 computations (72.9% saved)
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