
Time bar (total: 9.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 4 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 5 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 6 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 7 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 8 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 9 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 10 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 11 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 9 to 8 computations (11.1% saved)
| 523.0ms | 8 253× | 0 | valid |
| 0.0ms | 2× | 2 | valid |
| 0.0ms | 1× | 1 | valid |
ival-div: 251.0ms (71.4% of total)ival-sub: 87.0ms (24.8% of total)ival-true: 6.0ms (1.7% of total)exact: 5.0ms (1.4% of total)ival-assert: 3.0ms (0.9% 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 |
| 65.0ms | 512× | 0 | valid |
Compiled 45 to 22 computations (51.1% saved)
ival-sub: 47.0ms (91.6% of total)ival-div: 3.0ms (5.8% 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)) |
(/.f64 (-.f64 y x) (+.f64 y #s(literal -1 binary64))) |
Compiled 9 to 6 computations (33.3% saved)
Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
Compiled 9 to 6 computations (33.3% 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 (-.f64 y x) (+.f64 y #s(literal -1 binary64))) |
(-.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 | 0.02734375 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 12.0ms | 256× | 0 | valid |
Compiled 18 to 8 computations (55.6% saved)
ival-sub: 2.0ms (44.7% of total)ival-div: 2.0ms (44.7% 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 (/.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 (* -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 (/ 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 (- 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 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 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 (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 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 (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 (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>) () ())) ()) |
#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 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 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 (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 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 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>) () ())) ()) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/ (- x y) (- 1 y)) |
| 1.0ms | y | @ | -inf | (/ (- x y) (- 1 y)) |
| 0.0ms | x | @ | inf | (/ (- x y) (- 1 y)) |
| 0.0ms | x | @ | 0 | (/ (- x y) (- 1 y)) |
| 0.0ms | y | @ | inf | (/ (- 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 | 788 | 338 |
| 3 | 2735 | 311 |
| 4 | 7419 | 311 |
| 0 | 8107 | 302 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -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)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ 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 |
(+ 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 (+ (* -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 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) |
(- x y) |
(- x y) |
(- x y) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
x |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
x |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(* -1 y) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* -1 y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
| Outputs |
|---|
(* -1 (/ y (- 1 y))) |
(/.f64 y (+.f64 #s(literal -1 binary64) y)) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) y)) (-.f64 x y)) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) y)) (-.f64 x y)) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) 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 x y)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) y)) (-.f64 x y)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) y)) (-.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 x y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) y)) (-.f64 x y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) y)) (-.f64 x y)) |
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(-.f64 (fma.f64 y x x) y) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 y (*.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y (+.f64 y #s(literal 1 binary64)))) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) 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)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (+.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- x 1) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) 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 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x)) y)) |
(* -1 y) |
(neg.f64 y) |
(- x y) |
(-.f64 x y) |
(- x y) |
(-.f64 x y) |
(- x y) |
(-.f64 x y) |
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 (* x (- (/ y x) 1))) |
(-.f64 x y) |
(* -1 (* x (- (/ y x) 1))) |
(-.f64 x y) |
(* -1 (* x (- (/ y x) 1))) |
(-.f64 x y) |
x |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(* -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) |
(* -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 |
#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) |
(* 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 (- 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) |
| 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 (/.f64 x (+.f64 y #s(literal 1 binary64))) (/.f64 y (+.f64 y #s(literal -1 binary64)))) |
(+.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64))))) |
(+.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (neg.f64 y))) |
(+.f64 (/.f64 y (+.f64 y #s(literal -1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64)))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (neg.f64 y)) (/.f64 x (+.f64 y #s(literal 1 binary64)))) |
(+.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (fma.f64 y y y))) |
(+.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (fma.f64 y y y)) (*.f64 (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64))) (*.f64 (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) y)) |
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y y))) y) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y y))) y)) |
(+.f64 (*.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 y (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (*.f64 (fma.f64 y y y) (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))))) |
(+.f64 (*.f64 (fma.f64 y y y) (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))))) |
(+.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (*.f64 y (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))))) |
(+.f64 (*.f64 y (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y y))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (*.f64 y (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y y))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 x y))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) |
(-.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 y (+.f64 x y)))) (+.f64 y #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x x (*.f64 y (+.f64 x y)))) (+.f64 y #s(literal 1 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (+.f64 y #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 y y) (+.f64 x y)) (+.f64 y #s(literal 1 binary64)))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 x x (*.f64 y (+.f64 x y))))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 x x (*.f64 y (+.f64 x y)))))) |
(-.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 x y))) (/.f64 (*.f64 y y) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 x y)))) |
(-.f64 (/.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (/.f64 (fma.f64 y y y) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))))) |
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))) (+.f64 y #s(literal 1 binary64)))) (fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 x y)) (/.f64 (*.f64 x x) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))))) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))) (+.f64 y #s(literal 1 binary64)))) (fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 x y)) (/.f64 (*.f64 x x) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))))))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 x y))) (/.f64 (/.f64 (*.f64 y y) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 x y)))) |
(fma.f64 x (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (/.f64 y (+.f64 y #s(literal -1 binary64)))) |
(fma.f64 x (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64))))) |
(fma.f64 x (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (neg.f64 y))) |
(fma.f64 y (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64)))) |
(fma.f64 y (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y y))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 x (+.f64 y #s(literal 1 binary64))) (/.f64 y (+.f64 y #s(literal -1 binary64)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 x (+.f64 y #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 x (+.f64 y #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (neg.f64 y))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (*.f64 (fma.f64 y y y) (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 y (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y y))))) |
(fma.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 y (+.f64 y #s(literal -1 binary64)))) |
(fma.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64))))) |
(fma.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (neg.f64 y))) |
(fma.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64) (*.f64 (/.f64 y (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 y y y) (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))))) |
(fma.f64 (+.f64 y (fma.f64 y y #s(literal 1 binary64))) (/.f64 x (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 y (+.f64 y #s(literal -1 binary64)))) |
(fma.f64 (+.f64 y (fma.f64 y y #s(literal 1 binary64))) (/.f64 x (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64))))) |
(fma.f64 (+.f64 y (fma.f64 y y #s(literal 1 binary64))) (/.f64 x (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (neg.f64 y))) |
(fma.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64)))) |
(fma.f64 #s(literal -1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64)))) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 y (+.f64 y #s(literal -1 binary64)))) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64))))) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (neg.f64 y))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x (/.f64 y (+.f64 y #s(literal -1 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x (*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (neg.f64 y))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (neg.f64 y) (/.f64 x (+.f64 y #s(literal 1 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 y (+.f64 y #s(literal -1 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (neg.f64 y))) |
(fma.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (*.f64 y (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (neg.f64 (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (/.f64 x (+.f64 y #s(literal 1 binary64)))) |
(fma.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 y #s(literal -1 binary64)) (/.f64 x (+.f64 y #s(literal 1 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) x) #s(literal -1 binary64)) (/.f64 y (+.f64 y #s(literal -1 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) x) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) x) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (neg.f64 y))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 y y))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x) #s(literal -1 binary64)) (/.f64 y (+.f64 y #s(literal -1 binary64)))) |
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(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) (neg.f64 (neg.f64 (+.f64 y (fma.f64 y y #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y))) (+.f64 y #s(literal 1 binary64))) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 y (fma.f64 y y #s(literal 1 binary64))) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (+.f64 y (fma.f64 y y #s(literal 1 binary64))))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 (+.f64 y (fma.f64 y y #s(literal 1 binary64))) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (fma.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (/.f64 (*.f64 y (*.f64 y y)) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (/.f64 (*.f64 y (*.f64 y y)) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))))))) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))) (+.f64 y #s(literal 1 binary64)))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))) (+.f64 y #s(literal 1 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #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 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))))))) |
(/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (+.f64 y #s(literal -1 binary64))) |
(/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 (neg.f64 y) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64))))) (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (/.f64 (*.f64 y (*.f64 y y)) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (/.f64 (*.f64 y (*.f64 y y)) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))))) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #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 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64))))) (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64))))) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))) (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))) (fma.f64 y y #s(literal 1 binary64))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64))))) |
(pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.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 (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64))))) |
(*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (+.f64 y #s(literal -1 binary64))) |
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y (fma.f64 y y #s(literal 1 binary64)))))) |
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 y y))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 y #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) (neg.f64 (+.f64 y (fma.f64 y y #s(literal 1 binary64))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 #s(literal -1 binary64) (*.f64 y y))) (+.f64 y #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (fma.f64 (fma.f64 y y y) (*.f64 (fma.f64 y y y) (fma.f64 y y y)) #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))) |
(*.f64 (/.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y y) (fma.f64 y y y)))) (-.f64 #s(literal 1 binary64) (fma.f64 y y y))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64))))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y (fma.f64 y y #s(literal 1 binary64)))))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y (fma.f64 y y #s(literal 1 binary64)))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (+.f64 y (fma.f64 y y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (+.f64 y (fma.f64 y y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) |
Compiled 12 550 to 1 306 computations (89.6% saved)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 540 | 9 | 549 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 541 | 9 | 550 |
| Status | Accuracy | Program |
|---|---|---|
| 48.4% | (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) | |
| 73.6% | (/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) | |
| ▶ | 99.8% | (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (-.f64 y x)) |
| ▶ | 52.8% | #s(approx (/ (- x y) (- 1 y)) (fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x)) |
| 48.8% | #s(approx (/ (- x y) (- 1 y)) (/.f64 y (+.f64 #s(literal -1 binary64) y))) | |
| ▶ | 52.8% | #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
| 52.3% | #s(approx (/ (- x y) (- 1 y)) (-.f64 (fma.f64 y x x) y)) | |
| ▶ | 48.3% | #s(approx (/ (- x y) (- 1 y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
| ▶ | 37.1% | #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
Compiled 172 to 102 computations (40.7% saved)
| 1× | egg-herbie |
Found 16 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 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 1 y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) | |
| cost-diff | 0 | (fma.f64 y y y) | |
| cost-diff | 0 | (+.f64 #s(literal -1 binary64) x) | |
| cost-diff | 0 | (fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 1 y)) (fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x)) | |
| 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 y x) | |
| cost-diff | 0 | (+.f64 y #s(literal -1 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (-.f64 y x)) |
| 7 584× | lower-fma.f32 |
| 7 580× | lower-fma.f64 |
| 1 376× | lower-+.f32 |
| 1 376× | lower--.f32 |
| 1 370× | lower-+.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 127 |
| 0 | 37 | 127 |
| 1 | 67 | 125 |
| 2 | 141 | 125 |
| 3 | 397 | 125 |
| 4 | 875 | 125 |
| 5 | 2112 | 125 |
| 6 | 4157 | 125 |
| 7 | 5246 | 125 |
| 8 | 5600 | 125 |
| 9 | 5832 | 125 |
| 10 | 5901 | 125 |
| 11 | 5923 | 125 |
| 12 | 5923 | 125 |
| 13 | 5923 | 125 |
| 14 | 5927 | 125 |
| 15 | 5927 | 125 |
| 16 | 6039 | 125 |
| 17 | 6067 | 125 |
| 0 | 6067 | 125 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (-.f64 y x)) |
(/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(+.f64 y #s(literal -1 binary64)) |
y |
#s(literal -1 binary64) |
(-.f64 y x) |
x |
#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)) (fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x)) |
(fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x) |
(+.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
(fma.f64 y y y) |
y |
#s(approx (/ (- x y) (- 1 y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
#s(literal 1 binary64) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(-.f64 #s(literal 1 binary64) x) |
x |
y |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (-.f64 y x)) |
(/.f64 (-.f64 y x) (+.f64 y #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(+.f64 y #s(literal -1 binary64)) |
y |
#s(literal -1 binary64) |
(-.f64 y x) |
x |
#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)) (fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x)) |
(fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x) |
(+.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
(fma.f64 y y y) |
y |
#s(approx (/ (- x y) (- 1 y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
#s(literal 1 binary64) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(-.f64 #s(literal 1 binary64) x) |
x |
y |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 #s(literal 1 binary64) x) | |
| accuracy | 0 | (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) | |
| accuracy | 0.01953125 | (/.f64 (-.f64 #s(literal 1 binary64) x) y) | |
| accuracy | 33.087914000400424 | #s(approx (/ (- x y) (- 1 y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) | |
| accuracy | 0 | (fma.f64 y y y) | |
| accuracy | 0 | (+.f64 #s(literal -1 binary64) x) | |
| accuracy | 0.0078125 | (fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x) | |
| accuracy | 30.192191761688274 | #s(approx (/ (- x y) (- 1 y)) (fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x)) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.0234375 | (/.f64 x (-.f64 #s(literal 1 binary64) y)) | |
| accuracy | 30.177582099849314 | #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) | |
| accuracy | 40.277739303359944 | #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) | |
| accuracy | 0 | (-.f64 y x) | |
| accuracy | 0 | (+.f64 y #s(literal -1 binary64)) | |
| accuracy | 0.01171875 | (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) | |
| accuracy | 0.09375 | (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (-.f64 y x)) |
| 68.0ms | 256× | 0 | valid |
Compiled 106 to 22 computations (79.2% saved)
ival-div: 34.0ms (65.5% of total)ival-mult: 7.0ms (13.5% of total)ival-add: 6.0ms (11.6% of total)ival-sub: 4.0ms (7.7% 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 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (-.f64 y x)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (-.f64 y x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.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 y x) (patch (-.f64 y x) #<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)) (fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x) (patch (fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal -1 binary64) x) (patch (+.f64 #s(literal -1 binary64) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 y y y) (patch (fma.f64 y y y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- x y) (- 1 y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (patch #s(approx (/ (- x y) (- 1 y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (-.f64 y x)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (-.f64 y x)) #<representation binary64>) () ())) ()) |
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#s(alt (+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (-.f64 y x)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (-.f64 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 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (-.f64 y x)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (-.f64 y x)) #<representation binary64>) () ())) ()) |
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#s(alt (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (-.f64 y x)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (-.f64 y 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 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (-.f64 y x)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (-.f64 y x)) #<representation binary64>) () ())) ()) |
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#s(alt (+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) (taylor -inf y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (-.f64 y x)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (-.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ y (- y 1)) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (-.f64 y x)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (-.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ x (- y 1))) (/ y (- y 1))) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (-.f64 y x)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (-.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ x (- y 1))) (/ y (- y 1))) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (-.f64 y x)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (-.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ x (- y 1))) (/ y (- y 1))) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (-.f64 y x)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (-.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x (- y 1))) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (-.f64 y x)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (-.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ y (* x (- y 1))) (/ 1 (- y 1)))) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (-.f64 y x)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (-.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ y (* x (- y 1))) (/ 1 (- y 1)))) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (-.f64 y x)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (-.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ y (* x (- y 1))) (/ 1 (- y 1)))) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (-.f64 y x)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (-.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x (- y 1))) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (-.f64 y x)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (-.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ y (* x (- y 1)))) (/ 1 (- y 1))))) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (-.f64 y x)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (-.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ y (* x (- y 1)))) (/ 1 (- y 1))))) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (-.f64 y x)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (-.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ y (* x (- y 1)))) (/ 1 (- y 1))))) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (-.f64 y x)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (-.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 y) 1) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* y (- (* -1 y) 1)) 1) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* y (- (* y (- (* -1 y) 1)) 1)) 1) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (/ 1 y)) y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))) y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (/ 1 y)) y) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) 1) y)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) #<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 (- y 1) (taylor 0 y) (#s(alt (+.f64 y #s(literal -1 binary64)) (patch (+.f64 y #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- y 1) (taylor 0 y) (#s(alt (+.f64 y #s(literal -1 binary64)) (patch (+.f64 y #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- y 1) (taylor 0 y) (#s(alt (+.f64 y #s(literal -1 binary64)) (patch (+.f64 y #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor inf y) (#s(alt (+.f64 y #s(literal -1 binary64)) (patch (+.f64 y #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- 1 (/ 1 y))) (taylor inf y) (#s(alt (+.f64 y #s(literal -1 binary64)) (patch (+.f64 y #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- 1 (/ 1 y))) (taylor inf y) (#s(alt (+.f64 y #s(literal -1 binary64)) (patch (+.f64 y #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- 1 (/ 1 y))) (taylor inf y) (#s(alt (+.f64 y #s(literal -1 binary64)) (patch (+.f64 y #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor -inf y) (#s(alt (+.f64 y #s(literal -1 binary64)) (patch (+.f64 y #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (/ 1 y) 1))) (taylor -inf y) (#s(alt (+.f64 y #s(literal -1 binary64)) (patch (+.f64 y #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (/ 1 y) 1))) (taylor -inf y) (#s(alt (+.f64 y #s(literal -1 binary64)) (patch (+.f64 y #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (/ 1 y) 1))) (taylor -inf y) (#s(alt (+.f64 y #s(literal -1 binary64)) (patch (+.f64 y #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (- y x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (- y x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (- y x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt y (taylor inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1 (/ x y)))) (taylor inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1 (/ x y)))) (taylor inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1 (/ x y)))) (taylor inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt y (taylor -inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (/ x y) 1))) (taylor -inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (/ x y) 1))) (taylor -inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (/ x y) 1))) (taylor -inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 x)) (taylor 0 x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 x)) (taylor 0 x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 x)) (taylor 0 x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ y x) 1)) (taylor inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ y x) 1)) (taylor inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ y x) 1)) (taylor inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) (taylor 0 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 (/ y (- 1 y))) (/ x (- 1 y))) (taylor 0 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 (/ y (- 1 y))) (/ x (- 1 y))) (taylor 0 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)) #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>) () ())) ()) |
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#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>) () ())) ()) |
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#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
78 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 12.0ms | y | @ | -inf | (* (/ 1 (+ y -1)) (- y x)) |
| 1.0ms | x | @ | -inf | (+ -1 x) |
| 1.0ms | x | @ | inf | (/ x (- 1 y)) |
| 1.0ms | y | @ | 0 | (- y x) |
| 0.0ms | x | @ | -inf | (+ (* (+ -1 x) (+ (* y y) y)) x) |
| 1× | egg-herbie |
| 22 196× | lower-fma.f64 |
| 22 196× | lower-fma.f32 |
| 4 086× | lower-+.f64 |
| 4 086× | lower-+.f32 |
| 3 312× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 232 | 2675 |
| 1 | 688 | 2446 |
| 2 | 2030 | 2258 |
| 3 | 7525 | 2258 |
| 0 | 8264 | 2177 |
| 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))))) |
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 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 (/ x (- y 1))) (/ y (- y 1))) |
(+ (* -1 (/ x (- y 1))) (/ y (- y 1))) |
(+ (* -1 (/ x (- y 1))) (/ y (- y 1))) |
(* -1 (/ x (- y 1))) |
(* x (- (/ y (* x (- y 1))) (/ 1 (- y 1)))) |
(* x (- (/ y (* x (- y 1))) (/ 1 (- y 1)))) |
(* x (- (/ y (* x (- y 1))) (/ 1 (- y 1)))) |
(* -1 (/ x (- y 1))) |
(* -1 (* x (+ (* -1 (/ y (* x (- y 1)))) (/ 1 (- y 1))))) |
(* -1 (* x (+ (* -1 (/ y (* x (- y 1)))) (/ 1 (- y 1))))) |
(* -1 (* x (+ (* -1 (/ y (* x (- y 1)))) (/ 1 (- y 1))))) |
-1 |
(- (* -1 y) 1) |
(- (* y (- (* -1 y) 1)) 1) |
(- (* y (- (* y (- (* -1 y) 1)) 1)) 1) |
(/ 1 y) |
(/ (+ 1 (/ 1 y)) y) |
(/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y) |
(/ (+ 1 (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))) y) |
(/ 1 y) |
(/ (+ 1 (/ 1 y)) y) |
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) 1) y)) |
-1 |
(- y 1) |
(- y 1) |
(- y 1) |
y |
(* y (- 1 (/ 1 y))) |
(* y (- 1 (/ 1 y))) |
(* y (- 1 (/ 1 y))) |
y |
(* -1 (* y (- (/ 1 y) 1))) |
(* -1 (* y (- (/ 1 y) 1))) |
(* -1 (* y (- (/ 1 y) 1))) |
(* -1 x) |
(- y x) |
(- y x) |
(- y x) |
y |
(* y (+ 1 (* -1 (/ x y)))) |
(* y (+ 1 (* -1 (/ x y)))) |
(* y (+ 1 (* -1 (/ x y)))) |
y |
(* -1 (* y (- (/ x y) 1))) |
(* -1 (* y (- (/ x y) 1))) |
(* -1 (* y (- (/ x y) 1))) |
y |
(+ y (* -1 x)) |
(+ y (* -1 x)) |
(+ y (* -1 x)) |
(* -1 x) |
(* x (- (/ y x) 1)) |
(* x (- (/ y x) 1)) |
(* x (- (/ y x) 1)) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* -1 (* x (+ 1 (* -1 (/ y 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)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ 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 |
(+ 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 (+ (* -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 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 (/ 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)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ 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 |
(+ 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 (+ (* -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 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) 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)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
x |
(+ x (* x y)) |
(+ x (* y (- (* x y) (* -1 x)))) |
(+ x (* y (- (* y (- (* x y) (* -1 x))) (* -1 x)))) |
(* -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 (/ 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 |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* -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))) |
(/ 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)) |
(* -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 |
(+ 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 (+ (* -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 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 (pow y 2))) |
(+ (* -1 (+ y (pow y 2))) (* x (+ 1 (+ y (pow y 2))))) |
(+ (* -1 (+ y (pow y 2))) (* x (+ 1 (+ y (pow y 2))))) |
(+ (* -1 (+ y (pow y 2))) (* x (+ 1 (+ y (pow y 2))))) |
(* x (+ 1 (+ y (pow y 2)))) |
(* x (+ 1 (+ y (+ (* -1 (/ (+ y (pow y 2)) x)) (pow y 2))))) |
(* x (+ 1 (+ y (+ (* -1 (/ (+ y (pow y 2)) x)) (pow y 2))))) |
(* x (+ 1 (+ y (+ (* -1 (/ (+ y (pow y 2)) x)) (pow y 2))))) |
(* -1 (* x (- (* -1 (+ y (pow y 2))) 1))) |
(* -1 (* x (- (+ (* -1 (+ y (pow y 2))) (+ (/ y x) (/ (pow y 2) x))) 1))) |
(* -1 (* x (- (+ (* -1 (+ y (pow y 2))) (+ (/ y x) (/ (pow y 2) x))) 1))) |
(* -1 (* x (- (+ (* -1 (+ y (pow y 2))) (+ (/ y x) (/ (pow y 2) x))) 1))) |
x |
(+ x (* y (- x 1))) |
(+ x (* y (- (+ x (* y (- x 1))) 1))) |
(+ x (* y (- (+ x (* y (- x 1))) 1))) |
(* (pow y 2) (- x 1)) |
(* (pow y 2) (- (+ x (/ x y)) (+ 1 (/ 1 y)))) |
(* (pow y 2) (- (+ x (+ (/ x y) (/ x (pow y 2)))) (+ 1 (/ 1 y)))) |
(* (pow y 2) (- (+ x (+ (/ x y) (/ x (pow y 2)))) (+ 1 (/ 1 y)))) |
(* (pow y 2) (- x 1)) |
(* (pow y 2) (- (+ x (/ x y)) (+ 1 (/ 1 y)))) |
(* (pow y 2) (- (+ x (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ x y))) y))) 1)) |
(* (pow y 2) (- (+ x (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ x y))) y))) 1)) |
-1 |
(- x 1) |
(- x 1) |
(- x 1) |
x |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
y |
(* y (+ 1 y)) |
(* y (+ 1 y)) |
(* y (+ 1 y)) |
(pow y 2) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(pow y 2) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(* (pow y 2) (+ 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))) |
(/ 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)) |
(* -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 |
(+ 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 (+ (* -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 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 y)) |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+ 1 (+ (* -1 (/ x y)) (/ 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)) |
(* -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 y) x) y) |
(/ (- (+ 1 y) x) y) |
(/ (- (+ 1 y) x) y) |
1 |
(- (+ 1 (/ 1 y)) (/ x y)) |
(- (+ 1 (/ 1 y)) (/ x y)) |
(- (+ 1 (/ 1 y)) (/ x y)) |
1 |
(- (+ 1 (/ 1 y)) (/ x y)) |
(- (+ 1 (/ 1 y)) (/ x y)) |
(- (+ 1 (/ 1 y)) (/ x y)) |
(/ 1 y) |
(+ (* -1 (/ x y)) (/ 1 y)) |
(+ (* -1 (/ x y)) (/ 1 y)) |
(+ (* -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 y)) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
| Outputs |
|---|
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(-.f64 (fma.f64 x y x) y) |
(+ 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 y (+.f64 x (fma.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 y y y) #s(literal -1 binary64))) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) x)) y)) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
(+.f64 #s(literal 1 binary64) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (/.f64 x (*.f64 y (*.f64 y y)))) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) x)) y))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- x 1) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) x)) y)) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) y)) y)) |
(/ y (- y 1)) |
(/.f64 y (+.f64 #s(literal -1 binary64) y)) |
(+ (* -1 (/ x (- y 1))) (/ y (- y 1))) |
(+.f64 (/.f64 y (+.f64 #s(literal -1 binary64) y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(+ (* -1 (/ x (- y 1))) (/ y (- y 1))) |
(+.f64 (/.f64 y (+.f64 #s(literal -1 binary64) y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(+ (* -1 (/ x (- y 1))) (/ y (- y 1))) |
(+.f64 (/.f64 y (+.f64 #s(literal -1 binary64) y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(* -1 (/ x (- y 1))) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* x (- (/ y (* x (- y 1))) (/ 1 (- y 1)))) |
(+.f64 (/.f64 y (+.f64 #s(literal -1 binary64) y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(* x (- (/ y (* x (- y 1))) (/ 1 (- y 1)))) |
(+.f64 (/.f64 y (+.f64 #s(literal -1 binary64) y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(* x (- (/ y (* x (- y 1))) (/ 1 (- y 1)))) |
(+.f64 (/.f64 y (+.f64 #s(literal -1 binary64) y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(* -1 (/ x (- y 1))) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (+ (* -1 (/ y (* x (- y 1)))) (/ 1 (- y 1))))) |
(+.f64 (/.f64 y (+.f64 #s(literal -1 binary64) y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (+ (* -1 (/ y (* x (- y 1)))) (/ 1 (- y 1))))) |
(+.f64 (/.f64 y (+.f64 #s(literal -1 binary64) y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (+ (* -1 (/ y (* x (- y 1)))) (/ 1 (- y 1))))) |
(+.f64 (/.f64 y (+.f64 #s(literal -1 binary64) y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
-1 |
#s(literal -1 binary64) |
(- (* -1 y) 1) |
(-.f64 #s(literal -1 binary64) y) |
(- (* y (- (* -1 y) 1)) 1) |
(-.f64 #s(literal -1 binary64) (fma.f64 y y y)) |
(- (* y (- (* y (- (* -1 y) 1)) 1)) 1) |
(fma.f64 y (-.f64 #s(literal -1 binary64) (fma.f64 y y y)) #s(literal -1 binary64)) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ (+ 1 (/ 1 y)) y) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y) |
(/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) y) |
(/ (+ 1 (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))) y) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ (+ 1 (/ 1 y)) y) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y) |
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y)) |
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y)) |
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) 1) y)) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal -1 binary64) (*.f64 y y))) y)) (neg.f64 y)) |
-1 |
#s(literal -1 binary64) |
(- y 1) |
(+.f64 #s(literal -1 binary64) y) |
(- y 1) |
(+.f64 #s(literal -1 binary64) y) |
(- y 1) |
(+.f64 #s(literal -1 binary64) y) |
y |
(* y (- 1 (/ 1 y))) |
(+.f64 #s(literal -1 binary64) y) |
(* y (- 1 (/ 1 y))) |
(+.f64 #s(literal -1 binary64) y) |
(* y (- 1 (/ 1 y))) |
(+.f64 #s(literal -1 binary64) y) |
y |
(* -1 (* y (- (/ 1 y) 1))) |
(+.f64 #s(literal -1 binary64) y) |
(* -1 (* y (- (/ 1 y) 1))) |
(+.f64 #s(literal -1 binary64) y) |
(* -1 (* y (- (/ 1 y) 1))) |
(+.f64 #s(literal -1 binary64) y) |
(* -1 x) |
(neg.f64 x) |
(- y x) |
(-.f64 y x) |
(- y x) |
(-.f64 y x) |
(- y x) |
(-.f64 y x) |
y |
(* y (+ 1 (* -1 (/ x y)))) |
(-.f64 y x) |
(* y (+ 1 (* -1 (/ x y)))) |
(-.f64 y x) |
(* y (+ 1 (* -1 (/ x y)))) |
(-.f64 y x) |
y |
(* -1 (* y (- (/ x y) 1))) |
(-.f64 y x) |
(* -1 (* y (- (/ x y) 1))) |
(-.f64 y x) |
(* -1 (* y (- (/ x y) 1))) |
(-.f64 y x) |
y |
(+ y (* -1 x)) |
(-.f64 y x) |
(+ y (* -1 x)) |
(-.f64 y x) |
(+ y (* -1 x)) |
(-.f64 y x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ y x) 1)) |
(-.f64 y x) |
(* x (- (/ y x) 1)) |
(-.f64 y x) |
(* x (- (/ y x) 1)) |
(-.f64 y x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(-.f64 y x) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(-.f64 y x) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(-.f64 y x) |
(* -1 (/ y (- 1 y))) |
(/.f64 y (+.f64 #s(literal -1 binary64) y)) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+.f64 (/.f64 y (+.f64 #s(literal -1 binary64) y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+.f64 (/.f64 y (+.f64 #s(literal -1 binary64) y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+.f64 (/.f64 y (+.f64 #s(literal -1 binary64) 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 y (+.f64 #s(literal -1 binary64) y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(+.f64 (/.f64 y (+.f64 #s(literal -1 binary64) y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(+.f64 (/.f64 y (+.f64 #s(literal -1 binary64) 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 y (+.f64 #s(literal -1 binary64) y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
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(fma.f64 y (+.f64 x (fma.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 y y y) #s(literal -1 binary64))) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) x)) y)) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
(+.f64 #s(literal 1 binary64) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (/.f64 x (*.f64 y (*.f64 y y)))) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) x)) y))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- x 1) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) x)) y)) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) y)) y)) |
(+ 1 (/ 1 y)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(* -1 (/ x y)) |
(/.f64 x (neg.f64 y)) |
(* x (- (+ (/ 1 x) (/ 1 (* x y))) (/ 1 y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(* x (- (+ (/ 1 x) (/ 1 (* x y))) (/ 1 y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(* x (- (+ (/ 1 x) (/ 1 (* x y))) (/ 1 y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(* -1 (/ x y)) |
(/.f64 x (neg.f64 y)) |
(* -1 (* x (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y)))) |
(neg.f64 (fma.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64) (/.f64 x y))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y)))) |
(neg.f64 (fma.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64) (/.f64 x y))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y)))) |
(neg.f64 (fma.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64) (/.f64 x y))) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- (+ 1 y) x) y) |
(/.f64 (+.f64 y (-.f64 #s(literal 1 binary64) x)) y) |
(/ (- (+ 1 y) x) y) |
(/.f64 (+.f64 y (-.f64 #s(literal 1 binary64) x)) y) |
(/ (- (+ 1 y) x) y) |
(/.f64 (+.f64 y (-.f64 #s(literal 1 binary64) x)) y) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (/ 1 y)) (/ x y)) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(- (+ 1 (/ 1 y)) (/ x y)) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(- (+ 1 (/ 1 y)) (/ x y)) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (/ 1 y)) (/ x y)) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(- (+ 1 (/ 1 y)) (/ x y)) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(- (+ 1 (/ 1 y)) (/ x y)) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(+ (* -1 (/ x y)) (/ 1 y)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(+ (* -1 (/ x y)) (/ 1 y)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(+ (* -1 (/ x y)) (/ 1 y)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* -1 (/ x y)) |
(/.f64 x (neg.f64 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 y)) |
(/.f64 x (neg.f64 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) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- 1 x) 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)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (- 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) |
| 4 696× | lower-/.f32 |
| 4 690× | lower-/.f64 |
| 4 630× | lower-fma.f32 |
| 4 626× | lower-fma.f64 |
| 4 010× | lower-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 113 |
| 0 | 37 | 113 |
| 1 | 177 | 111 |
| 2 | 1579 | 111 |
| 0 | 8366 | 111 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (-.f64 y x)) |
(/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) |
(+.f64 y #s(literal -1 binary64)) |
(-.f64 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))) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) y) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x)) |
(fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x) |
(+.f64 #s(literal -1 binary64) x) |
(fma.f64 y y y) |
#s(approx (/ (- x y) (- 1 y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(-.f64 #s(literal 1 binary64) x) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) y) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (neg.f64 x))) |
(+.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(-.f64 (/.f64 y (+.f64 y #s(literal -1 binary64))) (/.f64 x (+.f64 y #s(literal -1 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (+.f64 y x) (*.f64 y y))) (+.f64 y #s(literal -1 binary64))) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 y x) (*.f64 y y))) (+.f64 y #s(literal -1 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 y y) (+.f64 y x)) (+.f64 y #s(literal -1 binary64))) (/.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (+.f64 y #s(literal -1 binary64)))) |
(fma.f64 y (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) y (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (neg.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal -1 binary64)) (-.f64 y x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (-.f64 y x)))) |
(/.f64 (-.f64 y x) (+.f64 y #s(literal -1 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 y x))) (*.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 x (+.f64 y x) (*.f64 y y)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (-.f64 y x))) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y x))) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 y x))) (*.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 x (+.f64 y x) (*.f64 y y)))) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 y x) (-.f64 y x))) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 y x))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 y x)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (+.f64 y #s(literal -1 binary64)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 y x)) #s(literal -1 binary64)) (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(literal 1 binary64)) (*.f64 (+.f64 y x) (+.f64 y #s(literal -1 binary64)))) |
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(literal -1 binary64)) (*.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (neg.f64 (-.f64 y x)) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 y x))) (fma.f64 x (+.f64 y x) (*.f64 y y))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (*.f64 (+.f64 y x) (-.f64 y x))) (+.f64 y x)) |
(/.f64 (*.f64 (-.f64 y x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 y x)) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) (fma.f64 x (+.f64 y x) (*.f64 y y))) |
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) (+.f64 y x)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 y x)))) (neg.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 x (+.f64 y x) (*.f64 y y))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (-.f64 y x)))) (neg.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y x)))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 y x)))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 x (+.f64 y x) (*.f64 y y))))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 y x) (-.f64 y x)))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 y x)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 y x)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (+.f64 y #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 y x)) #s(literal -1 binary64))) (neg.f64 (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 #s(literal 1 binary64) y)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 y x) (+.f64 y #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(literal -1 binary64))) (neg.f64 (*.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) y)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 y x))) (neg.f64 (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 y x)))) (neg.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (*.f64 (+.f64 y x) (-.f64 y x)))) (neg.f64 (+.f64 y x))) |
(/.f64 (neg.f64 (*.f64 (-.f64 y x) #s(literal -1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (-.f64 y x))) (neg.f64 (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))) (neg.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))) (neg.f64 (+.f64 y x))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) y) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) y) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (neg.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (neg.f64 x))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) y) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (neg.f64 x)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64)) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))))) (fma.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) (*.f64 y (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) (-.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (*.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) (/.f64 x (-.f64 #s(literal 1 binary64) y)))))) |
(pow.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (-.f64 y x)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (+.f64 y #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (-.f64 y x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 (-.f64 y x) #s(literal 1 binary64))) |
(*.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 y x) (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)) |
(*.f64 (/.f64 (-.f64 y x) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 (-.f64 y x) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))))) |
(*.f64 (/.f64 (-.f64 y x) (fma.f64 y y #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 (-.f64 y x) (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (/.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (/.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 y x)) (+.f64 y #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y x) (*.f64 y y))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 y x)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y x) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 y x)) (fma.f64 y y #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y x) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)))) |
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(fma.f64 x #s(literal -1 binary64) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) |
(/.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) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (-.f64 (*.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) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (neg.f64 x))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (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) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (fma.f64 (neg.f64 x) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (fma.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)))))) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #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)) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
Compiled 14 012 to 1 672 computations (88.1% saved)
13 alts after pruning (9 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 796 | 7 | 803 |
| Fresh | 2 | 2 | 4 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 799 | 13 | 812 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 73.6% | (/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) |
| ✓ | 99.8% | (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (-.f64 y x)) |
| ▶ | 52.4% | (*.f64 #s(approx (/ 1 (+ y -1)) #s(literal -1 binary64)) (-.f64 y x)) |
| ▶ | 52.1% | #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x)) |
| ▶ | 48.8% | #s(approx (/ (- x y) (- 1 y)) (/.f64 y (+.f64 #s(literal -1 binary64) y))) |
| ✓ | 52.8% | #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
| 13.7% | #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) | |
| ✓ | 48.3% | #s(approx (/ (- x y) (- 1 y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
| 48.4% | #s(approx (/ (- x y) (- 1 y)) (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))) | |
| 41.7% | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 x (fma.f64 y y y) x))) | |
| ▶ | 41.5% | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 x y x))) |
| 13.6% | #s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* (+ -1 x) (+ (* y y) y)) x) (*.f64 y (-.f64 #s(literal -1 binary64) y)))) | |
| ✓ | 37.1% | #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
Compiled 209 to 114 computations (45.5% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 #s(literal -1 binary64) y) | |
| cost-diff | 0 | (/.f64 y (+.f64 #s(literal -1 binary64) y)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 1 y)) (/.f64 y (+.f64 #s(literal -1 binary64) y))) | |
| cost-diff | 0 | (fma.f64 y y y) | |
| cost-diff | 0 | #s(approx (+ -1 x) #s(literal -1 binary64)) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x)) | |
| cost-diff | 0 | (-.f64 y x) | |
| cost-diff | 0 | #s(approx (/ 1 (+ y -1)) #s(literal -1 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (/ 1 (+ y -1)) #s(literal -1 binary64)) (-.f64 y x)) | |
| cost-diff | 0 | (fma.f64 x y x) | |
| cost-diff | 0 | #s(approx (/ x (- 1 y)) (fma.f64 x y x)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 x y x))) | |
| cost-diff | 0 | (+.f64 y #s(literal 1 binary64)) | |
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) | |
| cost-diff | 832 | (/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) |
| 15 400× | lower-fma.f32 |
| 15 394× | lower-fma.f64 |
| 3 024× | lower-*.f32 |
| 3 018× | lower-*.f64 |
| 2 130× | lower--.f32 |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 160 |
| 0 | 45 | 160 |
| 1 | 83 | 160 |
| 2 | 144 | 160 |
| 3 | 274 | 160 |
| 4 | 647 | 160 |
| 5 | 1578 | 160 |
| 6 | 4354 | 154 |
| 7 | 7610 | 154 |
| 0 | 8218 | 154 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) |
(*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) |
(-.f64 x y) |
x |
y |
(+.f64 y #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(-.f64 #s(literal 1 binary64) (*.f64 y y)) |
(*.f64 y y) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 x y x))) |
#s(approx (/ x (- 1 y)) (fma.f64 x y x)) |
(fma.f64 x y x) |
x |
y |
(*.f64 #s(approx (/ 1 (+ y -1)) #s(literal -1 binary64)) (-.f64 y x)) |
#s(approx (/ 1 (+ y -1)) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(-.f64 y x) |
y |
x |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x)) |
(fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x) |
#s(approx (+ -1 x) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(fma.f64 y y y) |
y |
x |
#s(approx (/ (- x y) (- 1 y)) (/.f64 y (+.f64 #s(literal -1 binary64) y))) |
(/.f64 y (+.f64 #s(literal -1 binary64) y)) |
y |
(+.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
| Outputs |
|---|
(/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) |
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
(*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) |
(-.f64 x y) |
x |
y |
(+.f64 y #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(-.f64 #s(literal 1 binary64) (*.f64 y y)) |
(*.f64 y y) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 x y x))) |
#s(approx (/ x (- 1 y)) (fma.f64 x y x)) |
(fma.f64 x y x) |
x |
y |
(*.f64 #s(approx (/ 1 (+ y -1)) #s(literal -1 binary64)) (-.f64 y x)) |
#s(approx (/ 1 (+ y -1)) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(-.f64 y x) |
y |
x |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x)) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 y (fma.f64 y #s(approx (+ -1 x) #s(literal -1 binary64)) #s(approx (+ -1 x) #s(literal -1 binary64))) x)) |
(fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x) |
(fma.f64 y (fma.f64 y #s(approx (+ -1 x) #s(literal -1 binary64)) #s(approx (+ -1 x) #s(literal -1 binary64))) x) |
#s(approx (+ -1 x) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(fma.f64 y y y) |
y |
x |
#s(approx (/ (- x y) (- 1 y)) (/.f64 y (+.f64 #s(literal -1 binary64) y))) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 y (+.f64 y #s(literal -1 binary64)))) |
(/.f64 y (+.f64 #s(literal -1 binary64) y)) |
(/.f64 y (+.f64 y #s(literal -1 binary64))) |
y |
(+.f64 #s(literal -1 binary64) y) |
(+.f64 y #s(literal -1 binary64)) |
#s(literal -1 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 #s(literal -1 binary64) y) | |
| accuracy | 0.01953125 | (/.f64 y (+.f64 #s(literal -1 binary64) y)) | |
| accuracy | 32.74814909406802 | #s(approx (/ (- x y) (- 1 y)) (/.f64 y (+.f64 #s(literal -1 binary64) y))) | |
| accuracy | 0 | (fma.f64 y y y) | |
| accuracy | 0.0078125 | (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x) | |
| accuracy | 30.192191761688274 | #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x)) | |
| accuracy | 31.168774809097087 | #s(approx (+ -1 x) #s(literal -1 binary64)) | |
| accuracy | 0 | (-.f64 y x) | |
| accuracy | 0.09375 | (*.f64 #s(approx (/ 1 (+ y -1)) #s(literal -1 binary64)) (-.f64 y x)) | |
| accuracy | 30.23072470423775 | #s(approx (/ 1 (+ y -1)) #s(literal -1 binary64)) | |
| accuracy | 0 | (fma.f64 x y x) | |
| accuracy | 30.177582099849314 | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 x y x))) | |
| accuracy | 30.193207318027117 | #s(approx (/ x (- 1 y)) (fma.f64 x y x)) | |
| accuracy | 0 | (+.f64 y #s(literal 1 binary64)) | |
| accuracy | 0 | (*.f64 y y) | |
| accuracy | 0.01953125 | (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) | |
| accuracy | 16.467487133280116 | (/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) |
| 48.0ms | 256× | 0 | valid |
Compiled 124 to 27 computations (78.2% saved)
ival-div: 8.0ms (26.5% of total)ival-add: 8.0ms (26.5% of total)ival-mult: 8.0ms (26.5% of total)ival-sub: 6.0ms (19.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ()) |
#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 x y x))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 x y x))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ x (- 1 y)) (fma.f64 x y x)) (patch #s(approx (/ x (- 1 y)) (fma.f64 x y x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 x y x) (patch (fma.f64 x y x) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (/ 1 (+ y -1)) #s(literal -1 binary64)) (-.f64 y x)) (patch (*.f64 #s(approx (/ 1 (+ y -1)) #s(literal -1 binary64)) (-.f64 y x)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ 1 (+ y -1)) #s(literal -1 binary64)) (patch #s(approx (/ 1 (+ y -1)) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x) (patch (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x) #<representation binary64>) () ()) |
#s(alt #s(approx (+ -1 x) #s(literal -1 binary64)) (patch #s(approx (+ -1 x) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 y y y) (patch (fma.f64 y y y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 y (+.f64 #s(literal -1 binary64) y))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 y (+.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ()) |
#s(alt (/.f64 y (+.f64 #s(literal -1 binary64) y)) (patch (/.f64 y (+.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal -1 binary64) y) (patch (+.f64 #s(literal -1 binary64) y) #<representation binary64>) () ()) |
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 (/ (* y (+ 1 y)) (- 1 (pow y 2)))) (taylor 0 x) (#s(alt (/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* y (+ 1 y)) (- 1 (pow y 2)))) (* x (+ (/ 1 (- 1 (pow y 2))) (/ y (- 1 (pow y 2)))))) (taylor 0 x) (#s(alt (/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* y (+ 1 y)) (- 1 (pow y 2)))) (* x (+ (/ 1 (- 1 (pow y 2))) (/ y (- 1 (pow y 2)))))) (taylor 0 x) (#s(alt (/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* y (+ 1 y)) (- 1 (pow y 2)))) (* x (+ (/ 1 (- 1 (pow y 2))) (/ y (- 1 (pow y 2)))))) (taylor 0 x) (#s(alt (/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ 1 y)) (- 1 (pow y 2))) (taylor inf x) (#s(alt (/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ (* y (+ 1 y)) (* x (- 1 (pow y 2))))) (+ (/ 1 (- 1 (pow y 2))) (/ y (- 1 (pow y 2)))))) (taylor inf x) (#s(alt (/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ()) |
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#s(alt (pow y 2) (taylor inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
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#s(alt (pow y 2) (taylor inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor -inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor -inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor -inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor -inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
87 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | x | @ | -inf | (/ (* (- x y) (+ y 1)) (- 1 (* y y))) |
| 1.0ms | x | @ | 0 | (/ (* (- x y) (+ y 1)) (- 1 (* y y))) |
| 0.0ms | x | @ | inf | (/ (* (- x y) (+ y 1)) (- 1 (* y y))) |
| 0.0ms | x | @ | inf | (+ (* x y) x) |
| 0.0ms | y | @ | inf | (/ (* (- x y) (+ y 1)) (- 1 (* y y))) |
| 1× | egg-herbie |
| 25 580× | lower-fma.f64 |
| 25 580× | lower-fma.f32 |
| 4 968× | lower-+.f64 |
| 4 968× | lower-+.f32 |
| 3 648× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 301 | 3230 |
| 1 | 916 | 2949 |
| 2 | 2756 | 2823 |
| 0 | 8192 | 2671 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ (* y (+ 1 y)) (- 1 (pow y 2)))) |
(+ (* -1 (/ (* y (+ 1 y)) (- 1 (pow y 2)))) (* x (+ (/ 1 (- 1 (pow y 2))) (/ y (- 1 (pow y 2)))))) |
(+ (* -1 (/ (* y (+ 1 y)) (- 1 (pow y 2)))) (* x (+ (/ 1 (- 1 (pow y 2))) (/ y (- 1 (pow y 2)))))) |
(+ (* -1 (/ (* y (+ 1 y)) (- 1 (pow y 2)))) (* x (+ (/ 1 (- 1 (pow y 2))) (/ y (- 1 (pow y 2)))))) |
(/ (* x (+ 1 y)) (- 1 (pow y 2))) |
(* x (+ (* -1 (/ (* y (+ 1 y)) (* x (- 1 (pow y 2))))) (+ (/ 1 (- 1 (pow y 2))) (/ y (- 1 (pow y 2)))))) |
(* x (+ (* -1 (/ (* y (+ 1 y)) (* x (- 1 (pow y 2))))) (+ (/ 1 (- 1 (pow y 2))) (/ y (- 1 (pow y 2)))))) |
(* x (+ (* -1 (/ (* y (+ 1 y)) (* x (- 1 (pow y 2))))) (+ (/ 1 (- 1 (pow y 2))) (/ y (- 1 (pow y 2)))))) |
(/ (* x (+ 1 y)) (- 1 (pow y 2))) |
(* -1 (* x (+ (* -1 (/ (+ 1 y) (- 1 (pow y 2)))) (/ (* y (+ 1 y)) (* x (- 1 (pow y 2))))))) |
(* -1 (* x (+ (* -1 (/ (+ 1 y) (- 1 (pow y 2)))) (/ (* y (+ 1 y)) (* x (- 1 (pow y 2))))))) |
(* -1 (* x (+ (* -1 (/ (+ 1 y) (- 1 (pow y 2)))) (/ (* y (+ 1 y)) (* x (- 1 (pow y 2))))))) |
x |
(+ x (* y (- x 1))) |
(+ x (* y (- (+ x (* -1 (* y (+ 1 (* -1 x))))) 1))) |
(+ x (* y (- (+ x (* y (- (* y (- x 1)) (+ 1 (* -1 x))))) 1))) |
1 |
(+ 1 (* -1 (/ (- x 1) y))) |
(+ 1 (+ (* -1 (/ x (pow y 2))) (+ (* -1 (/ (- x 1) y)) (/ 1 (pow y 2))))) |
(- (+ 1 (+ (* -1 (/ x (pow y 2))) (+ (* -1 (/ (- x 1) y)) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3)))))) (/ x (pow y 3))) |
1 |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+ 1 (* -1 (/ (+ (* -1 (+ 1 (* -1 x))) (* -1 (/ (+ 1 (* -1 x)) y))) y))) |
(+ 1 (* -1 (/ (+ (* -1 (+ 1 (* -1 x))) (* -1 (/ (+ 1 (+ (* -1 x) (+ (* -1 (/ x y)) (/ 1 y)))) 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))) |
(* x (+ 1 y)) |
(* x (+ 1 (+ y (* -1 (/ (* y (+ 1 y)) x))))) |
(* x (+ 1 (+ y (* -1 (/ (* y (+ 1 y)) x))))) |
(* x (+ 1 (+ y (* -1 (/ (* y (+ 1 y)) x))))) |
(* x (+ 1 y)) |
(* -1 (* x (+ (* -1 (+ 1 y)) (/ (* y (+ 1 y)) x)))) |
(* -1 (* x (+ (* -1 (+ 1 y)) (/ (* y (+ 1 y)) x)))) |
(* -1 (* x (+ (* -1 (+ 1 y)) (/ (* y (+ 1 y)) x)))) |
x |
(+ x (* y (- x 1))) |
(+ x (* y (- (+ x (* -1 y)) 1))) |
(+ x (* y (- (+ x (* -1 y)) 1))) |
(* -1 (pow y 2)) |
(* (pow y 2) (- (/ x y) (+ 1 (/ 1 y)))) |
(* (pow y 2) (- (+ (/ x y) (/ x (pow y 2))) (+ 1 (/ 1 y)))) |
(* (pow y 2) (- (+ (/ x y) (/ x (pow y 2))) (+ 1 (/ 1 y)))) |
(* -1 (pow y 2)) |
(* (pow y 2) (- (* -1 (/ (+ 1 (* -1 x)) y)) 1)) |
(* (pow y 2) (- (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ x y)))) y)) 1)) |
(* (pow y 2) (- (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ x y)))) y)) 1)) |
(* -1 y) |
(- x y) |
(- x y) |
(- x y) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
x |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
x |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(* -1 y) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
1 |
(+ 1 y) |
(+ 1 y) |
(+ 1 y) |
y |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
y |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(* -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)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ 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 |
(+ 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 (+ (* -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 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) 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)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
x |
(+ x (* x y)) |
(+ x (* y (- (* x y) (* -1 x)))) |
(+ x (* y (- (* y (- (* x y) (* -1 x))) (* -1 x)))) |
(* -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 (/ 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 (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (* -1 y) 1))) |
x |
(+ x (* x y)) |
(+ x (* x y)) |
(+ x (* x y)) |
(* x y) |
(* y (+ x (/ x y))) |
(* y (+ x (/ x y))) |
(* y (+ x (/ x y))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 x) (* -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))))) |
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 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 (/ x (- y 1))) (/ y (- y 1))) |
(+ (* -1 (/ x (- y 1))) (/ y (- y 1))) |
(+ (* -1 (/ x (- y 1))) (/ y (- y 1))) |
(* -1 (/ x (- y 1))) |
(* x (- (/ y (* x (- y 1))) (/ 1 (- y 1)))) |
(* x (- (/ y (* x (- y 1))) (/ 1 (- y 1)))) |
(* x (- (/ y (* x (- y 1))) (/ 1 (- y 1)))) |
(* -1 (/ x (- y 1))) |
(* -1 (* x (+ (* -1 (/ y (* x (- y 1)))) (/ 1 (- y 1))))) |
(* -1 (* x (+ (* -1 (/ y (* x (- y 1)))) (/ 1 (- y 1))))) |
(* -1 (* x (+ (* -1 (/ y (* x (- y 1)))) (/ 1 (- y 1))))) |
-1 |
(- (* -1 y) 1) |
(- (* y (- (* -1 y) 1)) 1) |
(- (* y (- (* y (- (* -1 y) 1)) 1)) 1) |
(/ 1 y) |
(/ (+ 1 (/ 1 y)) y) |
(/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y) |
(/ (+ 1 (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))) y) |
(/ 1 y) |
(/ (+ 1 (/ 1 y)) y) |
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) 1) y)) |
(* -1 x) |
(- y x) |
(- y x) |
(- y x) |
y |
(* y (+ 1 (* -1 (/ x y)))) |
(* y (+ 1 (* -1 (/ x y)))) |
(* y (+ 1 (* -1 (/ x y)))) |
y |
(* -1 (* y (- (/ x y) 1))) |
(* -1 (* y (- (/ x y) 1))) |
(* -1 (* y (- (/ x y) 1))) |
y |
(+ y (* -1 x)) |
(+ y (* -1 x)) |
(+ y (* -1 x)) |
(* -1 x) |
(* x (- (/ y x) 1)) |
(* x (- (/ y x) 1)) |
(* x (- (/ y x) 1)) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* -1 (* x (+ 1 (* -1 (/ y 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)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ 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 |
(+ 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 (+ (* -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 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 (pow y 2))) |
(+ (* -1 (+ y (pow y 2))) (* x (+ 1 (+ y (pow y 2))))) |
(+ (* -1 (+ y (pow y 2))) (* x (+ 1 (+ y (pow y 2))))) |
(+ (* -1 (+ y (pow y 2))) (* x (+ 1 (+ y (pow y 2))))) |
(* x (+ 1 (+ y (pow y 2)))) |
(* x (+ 1 (+ y (+ (* -1 (/ (+ y (pow y 2)) x)) (pow y 2))))) |
(* x (+ 1 (+ y (+ (* -1 (/ (+ y (pow y 2)) x)) (pow y 2))))) |
(* x (+ 1 (+ y (+ (* -1 (/ (+ y (pow y 2)) x)) (pow y 2))))) |
(* -1 (* x (- (* -1 (+ y (pow y 2))) 1))) |
(* -1 (* x (- (+ (* -1 (+ y (pow y 2))) (+ (/ y x) (/ (pow y 2) x))) 1))) |
(* -1 (* x (- (+ (* -1 (+ y (pow y 2))) (+ (/ y x) (/ (pow y 2) x))) 1))) |
(* -1 (* x (- (+ (* -1 (+ y (pow y 2))) (+ (/ y x) (/ (pow y 2) x))) 1))) |
x |
(+ x (* y (- x 1))) |
(+ x (* y (- (+ x (* y (- x 1))) 1))) |
(+ x (* y (- (+ x (* y (- x 1))) 1))) |
(* (pow y 2) (- x 1)) |
(* (pow y 2) (- (+ x (/ x y)) (+ 1 (/ 1 y)))) |
(* (pow y 2) (- (+ x (+ (/ x y) (/ x (pow y 2)))) (+ 1 (/ 1 y)))) |
(* (pow y 2) (- (+ x (+ (/ x y) (/ x (pow y 2)))) (+ 1 (/ 1 y)))) |
(* (pow y 2) (- x 1)) |
(* (pow y 2) (- (+ x (/ x y)) (+ 1 (/ 1 y)))) |
(* (pow y 2) (- (+ x (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ x y))) y))) 1)) |
(* (pow y 2) (- (+ x (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ x y))) y))) 1)) |
-1 |
(- x 1) |
(- x 1) |
(- x 1) |
x |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
y |
(* y (+ 1 y)) |
(* y (+ 1 y)) |
(* y (+ 1 y)) |
(pow y 2) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(pow y 2) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(* (pow y 2) (+ 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))) |
(/ 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)) |
(* -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 |
(+ 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 (+ (* -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 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) |
(* y (- (* -1 y) 1)) |
(* y (- (* y (- (* -1 y) 1)) 1)) |
(* y (- (* y (- (* y (- (* -1 y) 1)) 1)) 1)) |
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 y)) |
(+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y))) |
-1 |
(- y 1) |
(- y 1) |
(- y 1) |
y |
(* y (- 1 (/ 1 y))) |
(* y (- 1 (/ 1 y))) |
(* y (- 1 (/ 1 y))) |
y |
(* -1 (* y (- (/ 1 y) 1))) |
(* -1 (* y (- (/ 1 y) 1))) |
(* -1 (* y (- (/ 1 y) 1))) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
| Outputs |
|---|
(* -1 (/ (* y (+ 1 y)) (- 1 (pow y 2)))) |
(/.f64 (neg.f64 (fma.f64 y y y)) (fma.f64 y (neg.f64 y) #s(literal 1 binary64))) |
(+ (* -1 (/ (* y (+ 1 y)) (- 1 (pow y 2)))) (* x (+ (/ 1 (- 1 (pow y 2))) (/ y (- 1 (pow y 2)))))) |
(fma.f64 (-.f64 #s(literal -1 binary64) y) (/.f64 y (fma.f64 y (neg.f64 y) #s(literal 1 binary64))) (fma.f64 x (/.f64 y (fma.f64 y (neg.f64 y) #s(literal 1 binary64))) (/.f64 x (fma.f64 y (neg.f64 y) #s(literal 1 binary64))))) |
(+ (* -1 (/ (* y (+ 1 y)) (- 1 (pow y 2)))) (* x (+ (/ 1 (- 1 (pow y 2))) (/ y (- 1 (pow y 2)))))) |
(fma.f64 (-.f64 #s(literal -1 binary64) y) (/.f64 y (fma.f64 y (neg.f64 y) #s(literal 1 binary64))) (fma.f64 x (/.f64 y (fma.f64 y (neg.f64 y) #s(literal 1 binary64))) (/.f64 x (fma.f64 y (neg.f64 y) #s(literal 1 binary64))))) |
(+ (* -1 (/ (* y (+ 1 y)) (- 1 (pow y 2)))) (* x (+ (/ 1 (- 1 (pow y 2))) (/ y (- 1 (pow y 2)))))) |
(fma.f64 (-.f64 #s(literal -1 binary64) y) (/.f64 y (fma.f64 y (neg.f64 y) #s(literal 1 binary64))) (fma.f64 x (/.f64 y (fma.f64 y (neg.f64 y) #s(literal 1 binary64))) (/.f64 x (fma.f64 y (neg.f64 y) #s(literal 1 binary64))))) |
(/ (* x (+ 1 y)) (- 1 (pow y 2))) |
(/.f64 (fma.f64 y x x) (fma.f64 y (neg.f64 y) #s(literal 1 binary64))) |
(* x (+ (* -1 (/ (* y (+ 1 y)) (* x (- 1 (pow y 2))))) (+ (/ 1 (- 1 (pow y 2))) (/ y (- 1 (pow y 2)))))) |
(fma.f64 x (fma.f64 (-.f64 #s(literal -1 binary64) y) (/.f64 y (fma.f64 x (*.f64 y (neg.f64 y)) x)) (/.f64 y (fma.f64 y (neg.f64 y) #s(literal 1 binary64)))) (/.f64 x (fma.f64 y (neg.f64 y) #s(literal 1 binary64)))) |
(* x (+ (* -1 (/ (* y (+ 1 y)) (* x (- 1 (pow y 2))))) (+ (/ 1 (- 1 (pow y 2))) (/ y (- 1 (pow y 2)))))) |
(fma.f64 x (fma.f64 (-.f64 #s(literal -1 binary64) y) (/.f64 y (fma.f64 x (*.f64 y (neg.f64 y)) x)) (/.f64 y (fma.f64 y (neg.f64 y) #s(literal 1 binary64)))) (/.f64 x (fma.f64 y (neg.f64 y) #s(literal 1 binary64)))) |
(* x (+ (* -1 (/ (* y (+ 1 y)) (* x (- 1 (pow y 2))))) (+ (/ 1 (- 1 (pow y 2))) (/ y (- 1 (pow y 2)))))) |
(fma.f64 x (fma.f64 (-.f64 #s(literal -1 binary64) y) (/.f64 y (fma.f64 x (*.f64 y (neg.f64 y)) x)) (/.f64 y (fma.f64 y (neg.f64 y) #s(literal 1 binary64)))) (/.f64 x (fma.f64 y (neg.f64 y) #s(literal 1 binary64)))) |
(/ (* x (+ 1 y)) (- 1 (pow y 2))) |
(/.f64 (fma.f64 y x x) (fma.f64 y (neg.f64 y) #s(literal 1 binary64))) |
(* -1 (* x (+ (* -1 (/ (+ 1 y) (- 1 (pow y 2)))) (/ (* y (+ 1 y)) (* x (- 1 (pow y 2))))))) |
(neg.f64 (*.f64 (/.f64 (fma.f64 y x x) (fma.f64 y (neg.f64 y) #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 y x)))) |
(* -1 (* x (+ (* -1 (/ (+ 1 y) (- 1 (pow y 2)))) (/ (* y (+ 1 y)) (* x (- 1 (pow y 2))))))) |
(neg.f64 (*.f64 (/.f64 (fma.f64 y x x) (fma.f64 y (neg.f64 y) #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 y x)))) |
(* -1 (* x (+ (* -1 (/ (+ 1 y) (- 1 (pow y 2)))) (/ (* y (+ 1 y)) (* x (- 1 (pow y 2))))))) |
(neg.f64 (*.f64 (/.f64 (fma.f64 y x x) (fma.f64 y (neg.f64 y) #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 y x)))) |
x |
(+ x (* y (- x 1))) |
(-.f64 (fma.f64 y x x) y) |
(+ x (* y (- (+ x (* -1 (* y (+ 1 (* -1 x))))) 1))) |
(fma.f64 (fma.f64 y y y) (+.f64 #s(literal -1 binary64) x) x) |
(+ x (* y (- (+ x (* y (- (* y (- x 1)) (+ 1 (* -1 x))))) 1))) |
(fma.f64 y (fma.f64 (fma.f64 y y y) (+.f64 #s(literal -1 binary64) x) x) (-.f64 x y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- x 1) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+ 1 (+ (* -1 (/ x (pow y 2))) (+ (* -1 (/ (- x 1) y)) (/ 1 (pow y 2))))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) y)) |
(- (+ 1 (+ (* -1 (/ x (pow y 2))) (+ (* -1 (/ (- x 1) y)) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3)))))) (/ x (pow y 3))) |
(+.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) y) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (-.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (*.f64 y y)))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+ 1 (* -1 (/ (+ (* -1 (+ 1 (* -1 x))) (* -1 (/ (+ 1 (* -1 x)) y))) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) y)) |
(+ 1 (* -1 (/ (+ (* -1 (+ 1 (* -1 x))) (* -1 (/ (+ 1 (+ (* -1 x) (+ (* -1 (/ x y)) (/ 1 y)))) y))) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) y)) y)) |
(* -1 (* y (+ 1 y))) |
(neg.f64 (fma.f64 y y y)) |
(+ (* -1 (* y (+ 1 y))) (* x (+ 1 y))) |
(*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 x y)) |
(+ (* -1 (* y (+ 1 y))) (* x (+ 1 y))) |
(*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 x y)) |
(+ (* -1 (* y (+ 1 y))) (* x (+ 1 y))) |
(*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 x y)) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 (+ y (* -1 (/ (* y (+ 1 y)) x))))) |
(fma.f64 x (-.f64 y (/.f64 (fma.f64 y y y) x)) x) |
(* x (+ 1 (+ y (* -1 (/ (* y (+ 1 y)) x))))) |
(fma.f64 x (-.f64 y (/.f64 (fma.f64 y y y) x)) x) |
(* x (+ 1 (+ y (* -1 (/ (* y (+ 1 y)) x))))) |
(fma.f64 x (-.f64 y (/.f64 (fma.f64 y y y) x)) x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
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(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(fma.f64 x (/.f64 y (-.f64 (*.f64 y x) x)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(fma.f64 x (/.f64 y (-.f64 (*.f64 y x) x)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(-.f64 (fma.f64 y x x) y) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (fma.f64 y y y) (+.f64 #s(literal -1 binary64) x) x) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 y (fma.f64 (fma.f64 y y y) (+.f64 #s(literal -1 binary64) x) x) (-.f64 x y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) y)) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
(+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 x (*.f64 y (*.f64 y (neg.f64 y)))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) y))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- x 1) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) y)) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) y)) y)) |
(* -1 (+ y (pow y 2))) |
(neg.f64 (fma.f64 y y y)) |
(+ (* -1 (+ y (pow y 2))) (* x (+ 1 (+ y (pow y 2))))) |
(fma.f64 (fma.f64 y y y) (+.f64 #s(literal -1 binary64) x) x) |
(+ (* -1 (+ y (pow y 2))) (* x (+ 1 (+ y (pow y 2))))) |
(fma.f64 (fma.f64 y y y) (+.f64 #s(literal -1 binary64) x) x) |
(+ (* -1 (+ y (pow y 2))) (* x (+ 1 (+ y (pow y 2))))) |
(fma.f64 (fma.f64 y y y) (+.f64 #s(literal -1 binary64) x) x) |
(* x (+ 1 (+ y (pow y 2)))) |
(fma.f64 x (fma.f64 y y y) x) |
(* x (+ 1 (+ y (+ (* -1 (/ (+ y (pow y 2)) x)) (pow y 2))))) |
(fma.f64 x (fma.f64 y (-.f64 y (/.f64 (+.f64 y #s(literal 1 binary64)) x)) y) x) |
(* x (+ 1 (+ y (+ (* -1 (/ (+ y (pow y 2)) x)) (pow y 2))))) |
(fma.f64 x (fma.f64 y (-.f64 y (/.f64 (+.f64 y #s(literal 1 binary64)) x)) y) x) |
(* x (+ 1 (+ y (+ (* -1 (/ (+ y (pow y 2)) x)) (pow y 2))))) |
(fma.f64 x (fma.f64 y (-.f64 y (/.f64 (+.f64 y #s(literal 1 binary64)) x)) y) x) |
(* -1 (* x (- (* -1 (+ y (pow y 2))) 1))) |
(fma.f64 x (fma.f64 y y y) x) |
(* -1 (* x (- (+ (* -1 (+ y (pow y 2))) (+ (/ y x) (/ (pow y 2) x))) 1))) |
(fma.f64 x (fma.f64 y (-.f64 y (/.f64 (+.f64 y #s(literal 1 binary64)) x)) y) x) |
(* -1 (* x (- (+ (* -1 (+ y (pow y 2))) (+ (/ y x) (/ (pow y 2) x))) 1))) |
(fma.f64 x (fma.f64 y (-.f64 y (/.f64 (+.f64 y #s(literal 1 binary64)) x)) y) x) |
(* -1 (* x (- (+ (* -1 (+ y (pow y 2))) (+ (/ y x) (/ (pow y 2) x))) 1))) |
(fma.f64 x (fma.f64 y (-.f64 y (/.f64 (+.f64 y #s(literal 1 binary64)) x)) y) x) |
x |
(+ x (* y (- x 1))) |
(-.f64 (fma.f64 y x x) y) |
(+ x (* y (- (+ x (* y (- x 1))) 1))) |
(fma.f64 (fma.f64 y y y) (+.f64 #s(literal -1 binary64) x) x) |
(+ x (* y (- (+ x (* y (- x 1))) 1))) |
(fma.f64 (fma.f64 y y y) (+.f64 #s(literal -1 binary64) x) x) |
(* (pow y 2) (- x 1)) |
(*.f64 y (-.f64 (*.f64 y x) y)) |
(* (pow y 2) (- (+ x (/ x y)) (+ 1 (/ 1 y)))) |
(*.f64 y (fma.f64 y (+.f64 x (/.f64 x y)) (-.f64 #s(literal -1 binary64) y))) |
(* (pow y 2) (- (+ x (+ (/ x y) (/ x (pow y 2)))) (+ 1 (/ 1 y)))) |
(*.f64 y (fma.f64 y (+.f64 x (+.f64 (/.f64 (+.f64 x (/.f64 x y)) y) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(* (pow y 2) (- (+ x (+ (/ x y) (/ x (pow y 2)))) (+ 1 (/ 1 y)))) |
(*.f64 y (fma.f64 y (+.f64 x (+.f64 (/.f64 (+.f64 x (/.f64 x y)) y) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(* (pow y 2) (- x 1)) |
(*.f64 y (-.f64 (*.f64 y x) y)) |
(* (pow y 2) (- (+ x (/ x y)) (+ 1 (/ 1 y)))) |
(*.f64 y (fma.f64 y (+.f64 x (/.f64 x y)) (-.f64 #s(literal -1 binary64) y))) |
(* (pow y 2) (- (+ x (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ x y))) y))) 1)) |
(*.f64 y (fma.f64 y (+.f64 x (+.f64 (/.f64 (+.f64 x (/.f64 x y)) y) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(* (pow y 2) (- (+ x (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ x y))) y))) 1)) |
(*.f64 y (fma.f64 y (+.f64 x (+.f64 (/.f64 (+.f64 x (/.f64 x y)) y) #s(literal -1 binary64))) #s(literal -1 binary64))) |
-1 |
#s(literal -1 binary64) |
(- x 1) |
(+.f64 #s(literal -1 binary64) x) |
(- x 1) |
(+.f64 #s(literal -1 binary64) x) |
(- x 1) |
(+.f64 #s(literal -1 binary64) x) |
x |
(* x (- 1 (/ 1 x))) |
(+.f64 #s(literal -1 binary64) x) |
(* x (- 1 (/ 1 x))) |
(+.f64 #s(literal -1 binary64) x) |
(* x (- 1 (/ 1 x))) |
(+.f64 #s(literal -1 binary64) x) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(+.f64 #s(literal -1 binary64) x) |
(* -1 (* x (- (/ 1 x) 1))) |
(+.f64 #s(literal -1 binary64) x) |
(* -1 (* x (- (/ 1 x) 1))) |
(+.f64 #s(literal -1 binary64) x) |
y |
(* y (+ 1 y)) |
(fma.f64 y y y) |
(* y (+ 1 y)) |
(fma.f64 y y y) |
(* y (+ 1 y)) |
(fma.f64 y y y) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(fma.f64 y y y) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(fma.f64 y y y) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(fma.f64 y y y) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(fma.f64 y y y) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(fma.f64 y y y) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(fma.f64 y y y) |
(* -1 (/ y (- 1 y))) |
(/.f64 y (+.f64 #s(literal -1 binary64) y)) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+.f64 (/.f64 y (+.f64 #s(literal -1 binary64) y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+.f64 (/.f64 y (+.f64 #s(literal -1 binary64) y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+.f64 (/.f64 y (+.f64 #s(literal -1 binary64) 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)))) |
(fma.f64 x (/.f64 y (-.f64 (*.f64 y x) x)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(fma.f64 x (/.f64 y (-.f64 (*.f64 y x) x)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(fma.f64 x (/.f64 y (-.f64 (*.f64 y x) x)) (/.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))))) |
(fma.f64 x (/.f64 y (-.f64 (*.f64 y x) x)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(fma.f64 x (/.f64 y (-.f64 (*.f64 y x) x)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(fma.f64 x (/.f64 y (-.f64 (*.f64 y x) x)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(-.f64 (fma.f64 y x x) y) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (fma.f64 y y y) (+.f64 #s(literal -1 binary64) x) x) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 y (fma.f64 (fma.f64 y y y) (+.f64 #s(literal -1 binary64) x) x) (-.f64 x y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) y)) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
(+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 x (*.f64 y (*.f64 y (neg.f64 y)))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) y))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- x 1) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) y)) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) y)) y)) |
(* -1 y) |
(neg.f64 y) |
(* y (- (* -1 y) 1)) |
(neg.f64 (fma.f64 y y y)) |
(* y (- (* y (- (* -1 y) 1)) 1)) |
(*.f64 y (-.f64 #s(literal -1 binary64) (fma.f64 y y y))) |
(* y (- (* y (- (* y (- (* -1 y) 1)) 1)) 1)) |
(*.f64 y (fma.f64 y (-.f64 #s(literal -1 binary64) (fma.f64 y y y)) #s(literal -1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ 1 y)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) |
(+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) |
(+ 1 (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ 1 y)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) |
(+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 #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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) y)) |
-1 |
#s(literal -1 binary64) |
(- y 1) |
(+.f64 #s(literal -1 binary64) y) |
(- y 1) |
(+.f64 #s(literal -1 binary64) y) |
(- y 1) |
(+.f64 #s(literal -1 binary64) y) |
y |
(* y (- 1 (/ 1 y))) |
(+.f64 #s(literal -1 binary64) y) |
(* y (- 1 (/ 1 y))) |
(+.f64 #s(literal -1 binary64) y) |
(* y (- 1 (/ 1 y))) |
(+.f64 #s(literal -1 binary64) y) |
y |
(* -1 (* y (- (/ 1 y) 1))) |
(+.f64 #s(literal -1 binary64) y) |
(* -1 (* y (- (/ 1 y) 1))) |
(+.f64 #s(literal -1 binary64) y) |
(* -1 (* y (- (/ 1 y) 1))) |
(+.f64 #s(literal -1 binary64) y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
| 5 398× | lower-/.f32 |
| 5 394× | lower-/.f64 |
| 4 372× | lower-fma.f32 |
| 4 366× | lower-fma.f64 |
| 3 868× | lower-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 142 |
| 0 | 45 | 142 |
| 1 | 217 | 136 |
| 2 | 1711 | 136 |
| 0 | 8645 | 136 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) |
(*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) |
(-.f64 x y) |
(+.f64 y #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 x y x))) |
#s(approx (/ x (- 1 y)) (fma.f64 x y x)) |
(fma.f64 x y x) |
(*.f64 #s(approx (/ 1 (+ y -1)) #s(literal -1 binary64)) (-.f64 y x)) |
#s(approx (/ 1 (+ y -1)) #s(literal -1 binary64)) |
(-.f64 y x) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x)) |
(fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x) |
#s(approx (+ -1 x) #s(literal -1 binary64)) |
(fma.f64 y y y) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 y (+.f64 #s(literal -1 binary64) y))) |
(/.f64 y (+.f64 #s(literal -1 binary64) y)) |
(+.f64 #s(literal -1 binary64) y) |
(*.f64 y y) |
| Outputs |
|---|
(+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (+.f64 y #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y))) #s(literal -1 binary64))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) y))) (/.f64 (-.f64 x y) (neg.f64 (-.f64 #s(literal 1 binary64) y)))) |
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 y (+.f64 x y)))) (-.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x x (*.f64 y (+.f64 x y)))) (-.f64 #s(literal 1 binary64) y))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (-.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 (*.f64 y y) (+.f64 x y)) (-.f64 #s(literal 1 binary64) y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (/.f64 (-.f64 x y) (neg.f64 (-.f64 #s(literal 1 binary64) y)))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 x x (*.f64 y (+.f64 x y))))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 x x (*.f64 y (+.f64 x y)))))) |
(-.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 x y))) (/.f64 (*.f64 y y) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 x y)))) |
(-.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))) |
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) (-.f64 #s(literal 1 binary64) y))) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) y) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) (-.f64 #s(literal 1 binary64) y)))) |
(-.f64 (/.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) y)) (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) y))) (/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) y)) y) (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) y)))) |
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))) (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 x (-.f64 #s(literal 1 binary64) y)) (fma.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y)))))) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))) (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 x (-.f64 #s(literal 1 binary64) y)) (fma.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))))))) |
(-.f64 (/.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y)))) (/.f64 (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))))) |
(fma.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 y (+.f64 y #s(literal -1 binary64)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (+.f64 y #s(literal -1 binary64)))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x))) (/.f64 y (+.f64 y #s(literal -1 binary64)))) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 y (+.f64 y #s(literal -1 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) x (/.f64 y (+.f64 y #s(literal -1 binary64)))) |
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(/.f64 (-.f64 (*.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) (*.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) (*.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 y y))) (*.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 #s(literal -1 binary64) y))) |
(/.f64 (neg.f64 (-.f64 (*.f64 y (*.f64 y y)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 y y y)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (neg.f64 (+.f64 y #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 y y y))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) (fma.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal -1 binary64) y)) (/.f64 (*.f64 y y) (-.f64 #s(literal -1 binary64) y)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) (/.f64 (*.f64 y y) (-.f64 #s(literal -1 binary64) y)))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))) |
(*.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal -1 binary64) y)))) |
(*.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 y y y)))) |
(*.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) y) (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) y) (fma.f64 y y #s(literal 1 binary64))))) |
(*.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y #s(literal 1 binary64))))) |
(*.f64 (neg.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 y y y))))) |
(*.f64 (-.f64 (*.f64 y (*.f64 y y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 y y y)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) y))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) y))) |
(*.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)))) |
(*.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64)))) |
(exp.f64 (log.f64 (*.f64 y y))) |
(pow.f64 y #s(literal 2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 1 binary64)) |
(pow.f64 (neg.f64 y) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64)) |
(*.f64 y y) |
(*.f64 #s(literal 1 binary64) (*.f64 y y)) |
(*.f64 (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 (neg.f64 y) (neg.f64 y)) |
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y))) |
Compiled 27 779 to 2 808 computations (89.9% saved)
16 alts after pruning (10 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 177 | 7 | 1 184 |
| Fresh | 1 | 3 | 4 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 3 | 4 |
| Total | 1 181 | 16 | 1 197 |
| Status | Accuracy | Program |
|---|---|---|
| 46.4% | (/.f64 #s(approx (* (- x y) (+ y 1)) (fma.f64 y x x)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) | |
| ✓ | 52.4% | (*.f64 #s(approx (/ 1 (+ y -1)) #s(literal -1 binary64)) (-.f64 y x)) |
| ▶ | 41.8% | (*.f64 #s(approx (/ 1 (+ y -1)) #s(literal -1 binary64)) #s(approx (- y x) (neg.f64 x))) |
| ✓ | 48.8% | #s(approx (/ (- x y) (- 1 y)) (/.f64 y (+.f64 #s(literal -1 binary64) y))) |
| ✓ | 52.8% | #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
| ▶ | 13.7% | #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) |
| ✓ | 48.3% | #s(approx (/ (- x y) (- 1 y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
| 48.4% | #s(approx (/ (- x y) (- 1 y)) (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))) | |
| ▶ | 48.8% | #s(approx (/ (- x y) (- 1 y)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) y)) |
| ▶ | 13.6% | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (+ -1 y)) (neg.f64 (fma.f64 y y y)))) |
| ▶ | 13.8% | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (+ -1 y)) (neg.f64 y))) |
| 41.8% | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y (fma.f64 y x x) x))) | |
| ✓ | 41.5% | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 x y x))) |
| 3.2% | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) #s(approx (+ (* x y) x) (*.f64 y x)))) | |
| 13.6% | #s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* (+ -1 x) (+ (* y y) y)) x) (*.f64 y (-.f64 #s(literal -1 binary64) y)))) | |
| ✓ | 37.1% | #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
Compiled 230 to 123 computations (46.5% saved)
| 1× | egg-herbie |
Found 19 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 | (fma.f64 y y y) | |
| cost-diff | 0 | (neg.f64 (fma.f64 y y y)) | |
| cost-diff | 0 | #s(approx (/ y (+ -1 y)) (neg.f64 (fma.f64 y y y))) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (+ -1 y)) (neg.f64 (fma.f64 y y y)))) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | #s(approx (- y x) (neg.f64 x)) | |
| cost-diff | 0 | #s(approx (/ 1 (+ y -1)) #s(literal -1 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (/ 1 (+ y -1)) #s(literal -1 binary64)) #s(approx (- y x) (neg.f64 x))) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | #s(approx (/ y (+ -1 y)) (neg.f64 y)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (+ -1 y)) (neg.f64 y))) | |
| cost-diff | 0 | (+.f64 y #s(literal -1 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 1 y)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) y)) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) y) |
| 480× | lower-fma.f32 |
| 478× | lower-fma.f64 |
| 316× | lower-*.f32 |
| 312× | lower-*.f64 |
| 218× | div-sub |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 165 |
| 0 | 40 | 165 |
| 1 | 64 | 161 |
| 2 | 106 | 161 |
| 3 | 198 | 161 |
| 4 | 346 | 161 |
| 5 | 500 | 161 |
| 6 | 688 | 161 |
| 7 | 922 | 161 |
| 8 | 1026 | 161 |
| 9 | 1194 | 161 |
| 10 | 1238 | 161 |
| 11 | 1243 | 161 |
| 12 | 1249 | 161 |
| 0 | 1249 | 161 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- x y) (- 1 y)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) y) |
(/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(+.f64 y #s(literal -1 binary64)) |
y |
#s(literal -1 binary64) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (+ -1 y)) (neg.f64 y))) |
#s(approx (/ y (+ -1 y)) (neg.f64 y)) |
(neg.f64 y) |
y |
(*.f64 #s(approx (/ 1 (+ y -1)) #s(literal -1 binary64)) #s(approx (- y x) (neg.f64 x))) |
#s(approx (/ 1 (+ y -1)) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (- y x) (neg.f64 x)) |
(neg.f64 x) |
x |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (+ -1 y)) (neg.f64 (fma.f64 y y y)))) |
#s(approx (/ y (+ -1 y)) (neg.f64 (fma.f64 y y y))) |
(neg.f64 (fma.f64 y y y)) |
(fma.f64 y y y) |
y |
#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)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) y)) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 y (+.f64 y #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) y) |
(/.f64 y (+.f64 y #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(+.f64 y #s(literal -1 binary64)) |
y |
#s(literal -1 binary64) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (+ -1 y)) (neg.f64 y))) |
#s(approx (/ y (+ -1 y)) (neg.f64 y)) |
(neg.f64 y) |
y |
(*.f64 #s(approx (/ 1 (+ y -1)) #s(literal -1 binary64)) #s(approx (- y x) (neg.f64 x))) |
#s(approx (/ 1 (+ y -1)) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (- y x) (neg.f64 x)) |
(neg.f64 x) |
x |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (+ -1 y)) (neg.f64 (fma.f64 y y y)))) |
#s(approx (/ y (+ -1 y)) (neg.f64 (fma.f64 y y y))) |
(neg.f64 (fma.f64 y y y)) |
(fma.f64 y y y) |
y |
#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 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0.0234375 | (/.f64 x #s(approx (- 1 y) (neg.f64 y))) | |
| accuracy | 30.177582099849314 | #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) | |
| accuracy | 32.8988203008453 | #s(approx (- 1 y) (neg.f64 y)) | |
| accuracy | 0 | (fma.f64 y y y) | |
| accuracy | 0 | (neg.f64 (fma.f64 y y y)) | |
| accuracy | 30.521459466950876 | #s(approx (/ y (+ -1 y)) (neg.f64 (fma.f64 y y y))) | |
| accuracy | 32.74814909406802 | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (+ -1 y)) (neg.f64 (fma.f64 y y y)))) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0.09375 | (*.f64 #s(approx (/ 1 (+ y -1)) #s(literal -1 binary64)) #s(approx (- y x) (neg.f64 x))) | |
| accuracy | 30.23072470423775 | #s(approx (/ 1 (+ y -1)) #s(literal -1 binary64)) | |
| accuracy | 30.319427651188583 | #s(approx (- y x) (neg.f64 x)) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 30.43346602372247 | #s(approx (/ y (+ -1 y)) (neg.f64 y)) | |
| accuracy | 32.74814909406802 | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (+ -1 y)) (neg.f64 y))) | |
| accuracy | 0 | (+.f64 y #s(literal -1 binary64)) | |
| accuracy | 0.01171875 | (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) | |
| accuracy | 0.07421875 | (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) y) | |
| accuracy | 32.74814909406802 | #s(approx (/ (- x y) (- 1 y)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) y)) |
| 92.0ms | 256× | 0 | valid |
Compiled 106 to 22 computations (79.2% saved)
ival-neg: 55.0ms (73% of total)ival-div: 7.0ms (9.3% of total)ival-mult: 6.0ms (8% of total)ival-sub: 4.0ms (5.3% of total)ival-add: 3.0ms (4% 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 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) y) (patch (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- x y) (- 1 y)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) y)) (patch #s(approx (/ (- x y) (- 1 y)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.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 #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (+ -1 y)) (neg.f64 y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (+ -1 y)) (neg.f64 y))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ y (+ -1 y)) (neg.f64 y)) (patch #s(approx (/ y (+ -1 y)) (neg.f64 y)) #<representation binary64>) () ()) |
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (/ 1 (+ y -1)) #s(literal -1 binary64)) #s(approx (- y x) (neg.f64 x))) (patch (*.f64 #s(approx (/ 1 (+ y -1)) #s(literal -1 binary64)) #s(approx (- y x) (neg.f64 x))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ 1 (+ y -1)) #s(literal -1 binary64)) (patch #s(approx (/ 1 (+ y -1)) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (+ -1 y)) (neg.f64 (fma.f64 y y y)))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (+ -1 y)) (neg.f64 (fma.f64 y y y)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ y (+ -1 y)) (neg.f64 (fma.f64 y y y))) (patch #s(approx (/ y (+ -1 y)) (neg.f64 (fma.f64 y y y))) #<representation binary64>) () ()) |
#s(alt (neg.f64 (fma.f64 y y y)) (patch (neg.f64 (fma.f64 y y y)) #<representation binary64>) () ()) |
#s(alt (fma.f64 y y y) (patch (fma.f64 y y y) #<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>) () ()) |
| Outputs |
|---|
#s(alt (* -1 y) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) y) (patch (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* -1 y) 1)) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) y) (patch (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* y (- (* -1 y) 1)) 1)) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) y) (patch (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* y (- (* y (- (* -1 y) 1)) 1)) 1)) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) y) (patch (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) y) #<representation binary64>) () ())) ()) |
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#s(alt (+ 1 (/ 1 y)) (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) y) (patch (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) y) #<representation binary64>) () ())) ()) |
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#s(alt (+ 1 (+ (* -1 (/ x y)) (/ 1 y))) (taylor inf 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>) () ())) ()) |
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#s(alt (/ x (- 1 y)) (taylor 0 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 0 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 0 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 0 x) (#s(alt (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 x #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ()) |
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#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>) () ())) ()) |
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#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>) () ())) ()) |
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#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>) () ())) ()) |
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#s(alt (/ (- (+ (* -1 x) (* -1 (/ x (pow y 2)))) (/ x y)) y) (taylor inf 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 x) (* -1 (/ x (pow y 3)))) (+ (/ x y) (/ x (pow y 2)))) y) (taylor inf y) (#s(alt (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 x #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ x y) (* -1 x)) y)) x) y))) y)) (taylor -inf y) (#s(alt (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 x #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ()) |
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#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ 1 y) 1)) (taylor inf 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 -inf y) (#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- 1 (/ 1 y)))) (taylor -inf y) (#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- 1 (/ 1 y)))) (taylor -inf y) (#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- 1 (/ 1 y)))) (taylor -inf y) (#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ())) ()) |
75 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | inf | (neg y) |
| 0.0ms | y | @ | 0 | (* (/ 1 (+ y -1)) y) |
| 0.0ms | y | @ | -inf | (neg (+ (* y y) y)) |
| 0.0ms | y | @ | inf | (neg (+ (* y y) y)) |
| 0.0ms | x | @ | 0 | (/ (- x y) (- 1 y)) |
| 1× | egg-herbie |
| 12 166× | lower-fma.f64 |
| 12 166× | lower-fma.f32 |
| 2 774× | lower-+.f64 |
| 2 774× | lower-+.f32 |
| 2 452× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 174 | 2433 |
| 1 | 509 | 2264 |
| 2 | 1404 | 2147 |
| 3 | 4697 | 2081 |
| 0 | 8550 | 2031 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 y) |
(* y (- (* -1 y) 1)) |
(* y (- (* y (- (* -1 y) 1)) 1)) |
(* y (- (* y (- (* y (- (* -1 y) 1)) 1)) 1)) |
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 y)) |
(+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) 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)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ 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 |
(+ 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 (+ (* -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 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 y) 1) |
(- (* y (- (* -1 y) 1)) 1) |
(- (* y (- (* y (- (* -1 y) 1)) 1)) 1) |
(/ 1 y) |
(/ (+ 1 (/ 1 y)) y) |
(/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y) |
(/ (+ 1 (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))) y) |
(/ 1 y) |
(/ (+ 1 (/ 1 y)) y) |
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) 1) y)) |
-1 |
(- y 1) |
(- y 1) |
(- y 1) |
y |
(* y (- 1 (/ 1 y))) |
(* y (- 1 (/ 1 y))) |
(* y (- 1 (/ 1 y))) |
y |
(* -1 (* y (- (/ 1 y) 1))) |
(* -1 (* y (- (/ 1 y) 1))) |
(* -1 (* y (- (/ 1 y) 1))) |
(* -1 (/ y (- 1 y))) |
(+ (* -1 (/ 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)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ 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 |
(+ 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 (+ (* -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 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) |
(* y (- (* -1 y) 1)) |
(* y (- (* y (- (* -1 y) 1)) 1)) |
(* y (- (* y (- (* y (- (* -1 y) 1)) 1)) 1)) |
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 y)) |
(+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y))) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -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 |
(+ 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 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 (/ x (- y 1))) (/ y (- y 1))) |
(+ (* -1 (/ x (- y 1))) (/ y (- y 1))) |
(+ (* -1 (/ x (- y 1))) (/ y (- y 1))) |
(* -1 (/ x (- y 1))) |
(* x (- (/ y (* x (- y 1))) (/ 1 (- y 1)))) |
(* x (- (/ y (* x (- y 1))) (/ 1 (- y 1)))) |
(* x (- (/ y (* x (- y 1))) (/ 1 (- y 1)))) |
(* -1 (/ x (- y 1))) |
(* -1 (* x (+ (* -1 (/ y (* x (- y 1)))) (/ 1 (- y 1))))) |
(* -1 (* x (+ (* -1 (/ y (* x (- y 1)))) (/ 1 (- y 1))))) |
(* -1 (* x (+ (* -1 (/ y (* x (- y 1)))) (/ 1 (- y 1))))) |
-1 |
(- (* -1 y) 1) |
(- (* y (- (* -1 y) 1)) 1) |
(- (* y (- (* y (- (* -1 y) 1)) 1)) 1) |
(/ 1 y) |
(/ (+ 1 (/ 1 y)) y) |
(/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y) |
(/ (+ 1 (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))) y) |
(/ 1 y) |
(/ (+ 1 (/ 1 y)) y) |
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) 1) y)) |
(* -1 x) |
(- y x) |
(- y x) |
(- y x) |
y |
(* y (+ 1 (* -1 (/ x y)))) |
(* y (+ 1 (* -1 (/ x y)))) |
(* y (+ 1 (* -1 (/ x y)))) |
y |
(* -1 (* y (- (/ x y) 1))) |
(* -1 (* y (- (/ x y) 1))) |
(* -1 (* y (- (/ x y) 1))) |
y |
(+ y (* -1 x)) |
(+ y (* -1 x)) |
(+ y (* -1 x)) |
(* -1 x) |
(* x (- (/ y x) 1)) |
(* x (- (/ y x) 1)) |
(* x (- (/ y x) 1)) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -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)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ 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 |
(+ 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 (+ (* -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 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) |
(* y (- (* -1 y) 1)) |
(* y (- (* y (- (* -1 y) 1)) 1)) |
(* y (- (* y (- (* y (- (* -1 y) 1)) 1)) 1)) |
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 y)) |
(+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y))) |
(* -1 y) |
(* y (- (* -1 y) 1)) |
(* y (- (* -1 y) 1)) |
(* y (- (* -1 y) 1)) |
(* -1 (pow y 2)) |
(* -1 (* (pow y 2) (+ 1 (/ 1 y)))) |
(* -1 (* (pow y 2) (+ 1 (/ 1 y)))) |
(* -1 (* (pow y 2) (+ 1 (/ 1 y)))) |
(* -1 (pow y 2)) |
(* -1 (* (pow y 2) (+ 1 (/ 1 y)))) |
(* -1 (* (pow y 2) (+ 1 (/ 1 y)))) |
(* -1 (* (pow y 2) (+ 1 (/ 1 y)))) |
y |
(* y (+ 1 y)) |
(* y (+ 1 y)) |
(* y (+ 1 y)) |
(pow y 2) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(pow y 2) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(* (pow y 2) (+ 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))) |
(/ 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)) |
(* -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 |
(+ 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 (+ (* -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 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) 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)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
x |
(+ x (* x y)) |
(+ x (* y (- (* x y) (* -1 x)))) |
(+ x (* y (- (* y (- (* x y) (* -1 x))) (* -1 x)))) |
(* -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 (/ 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 |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* -1 y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
| Outputs |
|---|
(* -1 y) |
(neg.f64 y) |
(* y (- (* -1 y) 1)) |
(neg.f64 (fma.f64 y y y)) |
(* y (- (* y (- (* -1 y) 1)) 1)) |
(*.f64 y (-.f64 #s(literal -1 binary64) (fma.f64 y y y))) |
(* y (- (* y (- (* y (- (* -1 y) 1)) 1)) 1)) |
(*.f64 y (fma.f64 y (-.f64 #s(literal -1 binary64) (fma.f64 y y y)) #s(literal -1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ 1 y)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) |
(+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) |
(+ 1 (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))) |
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ 1 y)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) |
(+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y)) |
(* -1 (/ y (- 1 y))) |
(/.f64 y (+.f64 #s(literal -1 binary64) y)) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+.f64 (/.f64 y (+.f64 #s(literal -1 binary64) y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+.f64 (/.f64 y (+.f64 #s(literal -1 binary64) y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+.f64 (/.f64 y (+.f64 #s(literal -1 binary64) 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 y (+.f64 #s(literal -1 binary64) y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(+.f64 (/.f64 y (+.f64 #s(literal -1 binary64) y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(+.f64 (/.f64 y (+.f64 #s(literal -1 binary64) 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 y (+.f64 #s(literal -1 binary64) y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(+.f64 (/.f64 y (+.f64 #s(literal -1 binary64) y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(+.f64 (/.f64 y (+.f64 #s(literal -1 binary64) y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(-.f64 (fma.f64 y x x) y) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 (*.f64 y x) y) x) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 y (+.f64 x (fma.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 (*.f64 y x) y) #s(literal -1 binary64))) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) x)) y)) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
(+.f64 #s(literal 1 binary64) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (/.f64 x (*.f64 y (*.f64 y y)))) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) x)) y))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- x 1) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) x)) y)) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) x)) y)) y)) |
-1 |
#s(literal -1 binary64) |
(- (* -1 y) 1) |
(-.f64 #s(literal -1 binary64) y) |
(- (* y (- (* -1 y) 1)) 1) |
(-.f64 #s(literal -1 binary64) (fma.f64 y y y)) |
(- (* y (- (* y (- (* -1 y) 1)) 1)) 1) |
(fma.f64 y (-.f64 #s(literal -1 binary64) (fma.f64 y y y)) #s(literal -1 binary64)) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ (+ 1 (/ 1 y)) y) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y) |
(/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y) |
(/ (+ 1 (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))) y) |
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ (+ 1 (/ 1 y)) y) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y) |
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y) |
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) 1) y)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y)) y) |
-1 |
#s(literal -1 binary64) |
(- y 1) |
(+.f64 #s(literal -1 binary64) y) |
(- y 1) |
(+.f64 #s(literal -1 binary64) y) |
(- y 1) |
(+.f64 #s(literal -1 binary64) y) |
y |
(* y (- 1 (/ 1 y))) |
(+.f64 #s(literal -1 binary64) y) |
(* y (- 1 (/ 1 y))) |
(+.f64 #s(literal -1 binary64) y) |
(* y (- 1 (/ 1 y))) |
(+.f64 #s(literal -1 binary64) y) |
y |
(* -1 (* y (- (/ 1 y) 1))) |
(+.f64 #s(literal -1 binary64) y) |
(* -1 (* y (- (/ 1 y) 1))) |
(+.f64 #s(literal -1 binary64) y) |
(* -1 (* y (- (/ 1 y) 1))) |
(+.f64 #s(literal -1 binary64) y) |
(* -1 (/ y (- 1 y))) |
(/.f64 y (+.f64 #s(literal -1 binary64) y)) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+.f64 (/.f64 y (+.f64 #s(literal -1 binary64) y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+.f64 (/.f64 y (+.f64 #s(literal -1 binary64) y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+.f64 (/.f64 y (+.f64 #s(literal -1 binary64) 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 y (+.f64 #s(literal -1 binary64) y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(+.f64 (/.f64 y (+.f64 #s(literal -1 binary64) y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(+.f64 (/.f64 y (+.f64 #s(literal -1 binary64) 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 y (+.f64 #s(literal -1 binary64) y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(+.f64 (/.f64 y (+.f64 #s(literal -1 binary64) y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(+.f64 (/.f64 y (+.f64 #s(literal -1 binary64) y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(-.f64 (fma.f64 y x x) y) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 (*.f64 y x) y) x) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 y (+.f64 x (fma.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 (*.f64 y x) y) #s(literal -1 binary64))) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) x)) y)) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
(+.f64 #s(literal 1 binary64) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (/.f64 x (*.f64 y (*.f64 y y)))) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) x)) y))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- x 1) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) x)) y)) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) x)) y)) y)) |
(* -1 y) |
(neg.f64 y) |
(* y (- (* -1 y) 1)) |
(neg.f64 (fma.f64 y y y)) |
(* y (- (* y (- (* -1 y) 1)) 1)) |
(*.f64 y (-.f64 #s(literal -1 binary64) (fma.f64 y y y))) |
(* y (- (* y (- (* y (- (* -1 y) 1)) 1)) 1)) |
(*.f64 y (fma.f64 y (-.f64 #s(literal -1 binary64) (fma.f64 y y y)) #s(literal -1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ 1 y)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) |
(+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) |
(+ 1 (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))) |
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ 1 y)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) |
(+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y)) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -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))))) |
(-.f64 (fma.f64 y x x) y) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 (*.f64 y x) y) x) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 y (+.f64 x (fma.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 (*.f64 y x) y) #s(literal -1 binary64))) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) x)) y)) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
(+.f64 #s(literal 1 binary64) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (/.f64 x (*.f64 y (*.f64 y y)))) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) x)) y))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- x 1) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) x)) y)) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) x)) y)) y)) |
(/ y (- y 1)) |
(/.f64 y (+.f64 #s(literal -1 binary64) y)) |
(+ (* -1 (/ x (- y 1))) (/ y (- y 1))) |
(+.f64 (/.f64 y (+.f64 #s(literal -1 binary64) y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(+ (* -1 (/ x (- y 1))) (/ y (- y 1))) |
(+.f64 (/.f64 y (+.f64 #s(literal -1 binary64) y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(+ (* -1 (/ x (- y 1))) (/ y (- y 1))) |
(+.f64 (/.f64 y (+.f64 #s(literal -1 binary64) y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(* -1 (/ x (- y 1))) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* x (- (/ y (* x (- y 1))) (/ 1 (- y 1)))) |
(+.f64 (/.f64 y (+.f64 #s(literal -1 binary64) y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(* x (- (/ y (* x (- y 1))) (/ 1 (- y 1)))) |
(+.f64 (/.f64 y (+.f64 #s(literal -1 binary64) y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(* x (- (/ y (* x (- y 1))) (/ 1 (- y 1)))) |
(+.f64 (/.f64 y (+.f64 #s(literal -1 binary64) y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(* -1 (/ x (- y 1))) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (+ (* -1 (/ y (* x (- y 1)))) (/ 1 (- y 1))))) |
(+.f64 (/.f64 y (+.f64 #s(literal -1 binary64) y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (+ (* -1 (/ y (* x (- y 1)))) (/ 1 (- y 1))))) |
(+.f64 (/.f64 y (+.f64 #s(literal -1 binary64) y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (+ (* -1 (/ y (* x (- y 1)))) (/ 1 (- y 1))))) |
(+.f64 (/.f64 y (+.f64 #s(literal -1 binary64) y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
-1 |
#s(literal -1 binary64) |
(- (* -1 y) 1) |
(-.f64 #s(literal -1 binary64) y) |
(- (* y (- (* -1 y) 1)) 1) |
(-.f64 #s(literal -1 binary64) (fma.f64 y y y)) |
(- (* y (- (* y (- (* -1 y) 1)) 1)) 1) |
(fma.f64 y (-.f64 #s(literal -1 binary64) (fma.f64 y y y)) #s(literal -1 binary64)) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ (+ 1 (/ 1 y)) y) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y) |
(/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y) |
(/ (+ 1 (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))) y) |
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ (+ 1 (/ 1 y)) y) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y) |
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y) |
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) 1) y)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y)) y) |
(* -1 x) |
(neg.f64 x) |
(- y x) |
(-.f64 y x) |
(- y x) |
(-.f64 y x) |
(- y x) |
(-.f64 y x) |
y |
(* y (+ 1 (* -1 (/ x y)))) |
(-.f64 y x) |
(* y (+ 1 (* -1 (/ x y)))) |
(-.f64 y x) |
(* y (+ 1 (* -1 (/ x y)))) |
(-.f64 y x) |
y |
(* -1 (* y (- (/ x y) 1))) |
(-.f64 y x) |
(* -1 (* y (- (/ x y) 1))) |
(-.f64 y x) |
(* -1 (* y (- (/ x y) 1))) |
(-.f64 y x) |
y |
(+ y (* -1 x)) |
(-.f64 y x) |
(+ y (* -1 x)) |
(-.f64 y x) |
(+ y (* -1 x)) |
(-.f64 y x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ y x) 1)) |
(-.f64 y x) |
(* x (- (/ y x) 1)) |
(-.f64 y x) |
(* x (- (/ y x) 1)) |
(-.f64 y x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(-.f64 y x) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(-.f64 y x) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(-.f64 y x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (/ y (- 1 y))) |
(/.f64 y (+.f64 #s(literal -1 binary64) y)) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+.f64 (/.f64 y (+.f64 #s(literal -1 binary64) y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+.f64 (/.f64 y (+.f64 #s(literal -1 binary64) y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+.f64 (/.f64 y (+.f64 #s(literal -1 binary64) 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 y (+.f64 #s(literal -1 binary64) y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(+.f64 (/.f64 y (+.f64 #s(literal -1 binary64) y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(+.f64 (/.f64 y (+.f64 #s(literal -1 binary64) 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 y (+.f64 #s(literal -1 binary64) y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(+.f64 (/.f64 y (+.f64 #s(literal -1 binary64) y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(+.f64 (/.f64 y (+.f64 #s(literal -1 binary64) y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(-.f64 (fma.f64 y x x) y) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 (*.f64 y x) y) x) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 y (+.f64 x (fma.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 (*.f64 y x) y) #s(literal -1 binary64))) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) x)) y)) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
(+.f64 #s(literal 1 binary64) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (/.f64 x (*.f64 y (*.f64 y y)))) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) x)) y))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- x 1) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) x)) y)) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) x)) y)) y)) |
(* -1 y) |
(neg.f64 y) |
(* y (- (* -1 y) 1)) |
(neg.f64 (fma.f64 y y y)) |
(* y (- (* y (- (* -1 y) 1)) 1)) |
(*.f64 y (-.f64 #s(literal -1 binary64) (fma.f64 y y y))) |
(* y (- (* y (- (* y (- (* -1 y) 1)) 1)) 1)) |
(*.f64 y (fma.f64 y (-.f64 #s(literal -1 binary64) (fma.f64 y y y)) #s(literal -1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ 1 y)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) |
(+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) |
(+ 1 (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))) |
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ 1 y)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) |
(+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y)) |
(* -1 y) |
(neg.f64 y) |
(* y (- (* -1 y) 1)) |
(neg.f64 (fma.f64 y y y)) |
(* y (- (* -1 y) 1)) |
(neg.f64 (fma.f64 y y y)) |
(* y (- (* -1 y) 1)) |
(neg.f64 (fma.f64 y y y)) |
(* -1 (pow y 2)) |
(*.f64 y (neg.f64 y)) |
(* -1 (* (pow y 2) (+ 1 (/ 1 y)))) |
(neg.f64 (fma.f64 y y y)) |
(* -1 (* (pow y 2) (+ 1 (/ 1 y)))) |
(neg.f64 (fma.f64 y y y)) |
(* -1 (* (pow y 2) (+ 1 (/ 1 y)))) |
(neg.f64 (fma.f64 y y y)) |
(* -1 (pow y 2)) |
(*.f64 y (neg.f64 y)) |
(* -1 (* (pow y 2) (+ 1 (/ 1 y)))) |
(neg.f64 (fma.f64 y y y)) |
(* -1 (* (pow y 2) (+ 1 (/ 1 y)))) |
(neg.f64 (fma.f64 y y y)) |
(* -1 (* (pow y 2) (+ 1 (/ 1 y)))) |
(neg.f64 (fma.f64 y y y)) |
y |
(* y (+ 1 y)) |
(fma.f64 y y y) |
(* y (+ 1 y)) |
(fma.f64 y y y) |
(* y (+ 1 y)) |
(fma.f64 y y y) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(fma.f64 y y y) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(fma.f64 y y y) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(fma.f64 y y y) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(fma.f64 y y y) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(fma.f64 y y y) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(fma.f64 y y y) |
(* -1 (/ y (- 1 y))) |
(/.f64 y (+.f64 #s(literal -1 binary64) y)) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+.f64 (/.f64 y (+.f64 #s(literal -1 binary64) y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+.f64 (/.f64 y (+.f64 #s(literal -1 binary64) y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+.f64 (/.f64 y (+.f64 #s(literal -1 binary64) 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 y (+.f64 #s(literal -1 binary64) y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(+.f64 (/.f64 y (+.f64 #s(literal -1 binary64) y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(+.f64 (/.f64 y (+.f64 #s(literal -1 binary64) 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 y (+.f64 #s(literal -1 binary64) y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(+.f64 (/.f64 y (+.f64 #s(literal -1 binary64) y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(+.f64 (/.f64 y (+.f64 #s(literal -1 binary64) y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(-.f64 (fma.f64 y x x) y) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 (*.f64 y x) y) x) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 y (+.f64 x (fma.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 (*.f64 y x) y) #s(literal -1 binary64))) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) x)) y)) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
(+.f64 #s(literal 1 binary64) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (/.f64 x (*.f64 y (*.f64 y y)))) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) x)) y))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- x 1) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) x)) y)) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) x)) y)) y)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(/ x (- 1 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)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
x |
(+ x (* x y)) |
(fma.f64 y x x) |
(+ x (* y (- (* x y) (* -1 x)))) |
(fma.f64 y (fma.f64 y x x) x) |
(+ x (* y (- (* y (- (* x y) (* -1 x))) (* -1 x)))) |
(fma.f64 y (fma.f64 y (fma.f64 y x x) x) x) |
(* -1 (/ x y)) |
(neg.f64 (/.f64 x y)) |
(/ (+ (* -1 x) (* -1 (/ x y))) y) |
(neg.f64 (/.f64 (+.f64 x (/.f64 x y)) y)) |
(/ (- (+ (* -1 x) (* -1 (/ x (pow y 2)))) (/ x y)) y) |
(/.f64 (-.f64 (neg.f64 x) (/.f64 (+.f64 x (/.f64 x y)) y)) y) |
(/ (- (+ (* -1 x) (* -1 (/ x (pow y 3)))) (+ (/ x y) (/ x (pow y 2)))) y) |
(/.f64 (+.f64 x (/.f64 (+.f64 x (/.f64 (+.f64 x (/.f64 x y)) y)) y)) (neg.f64 y)) |
(* -1 (/ x y)) |
(neg.f64 (/.f64 x y)) |
(* -1 (/ (+ x (/ x y)) y)) |
(neg.f64 (/.f64 (+.f64 x (/.f64 x y)) y)) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ x y)) x) y))) y)) |
(/.f64 (-.f64 (neg.f64 x) (/.f64 (+.f64 x (/.f64 x y)) y)) y) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ x y) (* -1 x)) y)) x) y))) y)) |
(/.f64 (+.f64 x (/.f64 (+.f64 x (/.f64 (+.f64 x (/.f64 x y)) y)) y)) (neg.f64 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) |
(* 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 (- 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) |
| 7 672× | lower-fma.f32 |
| 7 670× | lower-fma.f64 |
| 4 454× | lower-*.f32 |
| 4 450× | lower-*.f64 |
| 4 374× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 154 |
| 0 | 40 | 150 |
| 1 | 151 | 150 |
| 2 | 1020 | 150 |
| 0 | 9235 | 150 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) y) |
#s(approx (/ (- x y) (- 1 y)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) y)) |
(/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) |
(+.f64 y #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (+ -1 y)) (neg.f64 y))) |
#s(approx (/ y (+ -1 y)) (neg.f64 y)) |
(neg.f64 y) |
(*.f64 #s(approx (/ 1 (+ y -1)) #s(literal -1 binary64)) #s(approx (- y x) (neg.f64 x))) |
#s(approx (/ 1 (+ y -1)) #s(literal -1 binary64)) |
#s(approx (- y x) (neg.f64 x)) |
(neg.f64 x) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (+ -1 y)) (neg.f64 (fma.f64 y y y)))) |
#s(approx (/ y (+ -1 y)) (neg.f64 (fma.f64 y y y))) |
(neg.f64 (fma.f64 y y y)) |
(fma.f64 y y y) |
#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)) |
| Outputs |
|---|
(+.f64 #s(literal 0 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))) |
(+.f64 (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal -1 binary64)) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 y))) |
(+.f64 (*.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (*.f64 y y)) (*.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) y))) |
(+.f64 (*.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (*.f64 y y))) |
(+.f64 (*.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (fma.f64 y y y))) |
(+.f64 (*.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (fma.f64 y y y)) (*.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) y)) |
(+.f64 (*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) y)) |
(+.f64 (*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) y) (*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (*.f64 (neg.f64 y) (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y))))) |
(+.f64 (*.f64 (*.f64 y y) (/.f64 y (fma.f64 y (*.f64 y y) #s(literal -1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) y) (/.f64 y (fma.f64 y (*.f64 y y) #s(literal -1 binary64))))) |
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (/.f64 y (fma.f64 y (*.f64 y y) #s(literal -1 binary64)))) (*.f64 (*.f64 y y) (/.f64 y (fma.f64 y (*.f64 y y) #s(literal -1 binary64))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 y (*.f64 y y) #s(literal -1 binary64)))) (*.f64 (fma.f64 y y y) (/.f64 y (fma.f64 y (*.f64 y y) #s(literal -1 binary64))))) |
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(/.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 y y) y)) (*.f64 y (fma.f64 y (*.f64 y y) (-.f64 y (*.f64 y y))))) |
(/.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 y y) y)) (fma.f64 y y (*.f64 (*.f64 y y) (-.f64 (*.f64 y y) y)))) |
(/.f64 (*.f64 (*.f64 y y) (fma.f64 y y #s(literal -1 binary64))) (-.f64 (*.f64 y y) y)) |
(/.f64 (neg.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 y y) y))) (neg.f64 (*.f64 y (fma.f64 y (*.f64 y y) (-.f64 y (*.f64 y y)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 y y) y))) (neg.f64 (fma.f64 y y (*.f64 (*.f64 y y) (-.f64 (*.f64 y y) y))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 y y) (fma.f64 y y #s(literal -1 binary64)))) (-.f64 y (*.f64 y y))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 y y y) (fma.f64 y y y))) (*.f64 y (-.f64 #s(literal -1 binary64) y))) |
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (-.f64 (*.f64 y y) y)) (*.f64 (-.f64 (*.f64 y y) y) (*.f64 y y))) (*.f64 (-.f64 (*.f64 y y) y) (-.f64 (*.f64 y y) y))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 y y) y)))) (neg.f64 (neg.f64 (*.f64 y (fma.f64 y (*.f64 y y) (-.f64 y (*.f64 y y))))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 y y) (fma.f64 y y #s(literal -1 binary64))))) (neg.f64 (-.f64 y (*.f64 y y)))) |
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y y y) (*.f64 (fma.f64 y y y) (fma.f64 y y y)))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (fma.f64 y y y) (fma.f64 y y y)) #s(literal 0 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (-.f64 (*.f64 y y) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (-.f64 (*.f64 y y) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (-.f64 (*.f64 y y) y)) (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (-.f64 (*.f64 y y) y)) (fma.f64 (/.f64 (*.f64 y y) (-.f64 (*.f64 y y) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 y y) y)) (*.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (-.f64 (*.f64 y y) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 y y) y)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (-.f64 (*.f64 y y) y)) (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (-.f64 (*.f64 y y) y))) (*.f64 (/.f64 (*.f64 y y) (-.f64 (*.f64 y y) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 y y) y)))) (+.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (-.f64 (*.f64 y y) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 y y) y)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 y y) y))) (*.f64 y (fma.f64 y (*.f64 y y) (-.f64 y (*.f64 y y))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 y y) y))) (fma.f64 y y (*.f64 (*.f64 y y) (-.f64 (*.f64 y y) y)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (fma.f64 y y #s(literal -1 binary64)))) (-.f64 (*.f64 y y) y)) |
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 y (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) |
(/.f64 (*.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y y)) y)) |
(/.f64 (*.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 y y) y)) #s(literal 1 binary64)) (*.f64 y (fma.f64 y (*.f64 y y) (-.f64 y (*.f64 y y))))) |
(/.f64 (*.f64 (*.f64 (*.f64 y y) (fma.f64 y y #s(literal -1 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 y y) y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 y y) y)))) (neg.f64 (*.f64 y (fma.f64 y (*.f64 y y) (-.f64 y (*.f64 y y)))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 y y) (fma.f64 y y #s(literal -1 binary64))))) (-.f64 y (*.f64 y y))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y y) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y y) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y (*.f64 y y) (-.f64 y (*.f64 y y)))))) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))))) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 y y) y)) (*.f64 (*.f64 y y) (-.f64 (*.f64 y (*.f64 y (*.f64 y y))) y))) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y (*.f64 y y) (-.f64 y (*.f64 y y)))))) (*.f64 (*.f64 y y) (-.f64 (*.f64 y (*.f64 y (*.f64 y y))) y))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) y) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) y) (+.f64 y #s(literal -1 binary64))) |
(/.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) y) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) y) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y y)) y)) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 y y) y)) (*.f64 (*.f64 y y) (-.f64 (*.f64 y (*.f64 y (*.f64 y y))) y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) y))) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y (*.f64 y (*.f64 y y)))))) |
(/.f64 (*.f64 (*.f64 (*.f64 y (fma.f64 y (*.f64 y y) y)) (*.f64 (*.f64 y y) (fma.f64 y y #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) y))) (*.f64 y (fma.f64 y (*.f64 y y) y))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y y)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 y y y)) |
(*.f64 y (+.f64 #s(literal 1 binary64) y)) |
(*.f64 (neg.f64 y) (-.f64 (neg.f64 y) #s(literal 1 binary64))) |
(*.f64 (fma.f64 y y y) #s(literal 1 binary64)) |
(*.f64 (fma.f64 y y y) (*.f64 (-.f64 (*.f64 y y) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) y)))) |
(*.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 y y) y)) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y (*.f64 y y) (-.f64 y (*.f64 y y)))))) |
(*.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 y y) y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 (*.f64 y y) (-.f64 (*.f64 y y) y))))) |
(*.f64 (*.f64 y (fma.f64 y (*.f64 y y) (-.f64 y (*.f64 y y)))) (*.f64 (fma.f64 y y y) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y (*.f64 y y) (-.f64 y (*.f64 y y))))))) |
(*.f64 (+.f64 #s(literal 1 binary64) y) y) |
(*.f64 (*.f64 (*.f64 y y) (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) y))) |
(*.f64 (neg.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 y y) y))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 y (fma.f64 y (*.f64 y y) (-.f64 y (*.f64 y y))))))) |
(*.f64 (neg.f64 (*.f64 (*.f64 y y) (fma.f64 y y #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 y (*.f64 y y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y (*.f64 y y) (-.f64 y (*.f64 y y))))) (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 y y) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) (fma.f64 y y #s(literal -1 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 y y) y))) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y (*.f64 y y) (-.f64 y (*.f64 y y)))))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (fma.f64 y y #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) y))) |
(*.f64 (/.f64 (*.f64 (*.f64 y y) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (*.f64 y y) (fma.f64 y y #s(literal -1 binary64)))) (fma.f64 y y y)) |
(*.f64 (/.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 y y) y)) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y (-.f64 y (*.f64 y y))) (*.f64 (*.f64 y (-.f64 y (*.f64 y y))) (*.f64 y (-.f64 y (*.f64 y y))))))) (fma.f64 y (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y (-.f64 y (*.f64 y y))) (-.f64 (*.f64 y (-.f64 y (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y y))))))) |
(*.f64 (/.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 y y) y)) (*.f64 (*.f64 y (fma.f64 y (*.f64 y y) (-.f64 y (*.f64 y y)))) (*.f64 y (-.f64 (*.f64 y (*.f64 y y)) (-.f64 y (*.f64 y y)))))) (*.f64 y (-.f64 (*.f64 y (*.f64 y y)) (-.f64 y (*.f64 y y))))) |
(*.f64 (/.f64 (*.f64 (*.f64 y y) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (*.f64 y y) (-.f64 (*.f64 y (*.f64 y (*.f64 y y))) y))) (fma.f64 y (*.f64 y (*.f64 y y)) (*.f64 y (fma.f64 y y y)))) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) |
(+.f64 #s(literal 0 binary64) (/.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 (neg.f64 x) #s(approx (- 1 y) (neg.f64 y)))) |
(neg.f64 (/.f64 (neg.f64 x) #s(approx (- 1 y) (neg.f64 y)))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.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))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 y) (neg.f64 y)) x)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (- 1 y) (neg.f64 y)) (neg.f64 x))) |
(/.f64 x #s(approx (- 1 y) (neg.f64 y))) |
(/.f64 (neg.f64 x) (neg.f64 #s(approx (- 1 y) (neg.f64 y)))) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 y) (neg.f64 y))) (/.f64 #s(literal 1 binary64) x)) |
(/.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 (-.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 #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 1 binary64) (neg.f64 x)) (neg.f64 #s(approx (- 1 y) (neg.f64 y)))) |
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 #s(approx (- 1 y) (neg.f64 y)))) |
(/.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1 binary64) #s(approx (- 1 y) (neg.f64 y)))) (*.f64 x x)) |
(/.f64 (*.f64 (*.f64 x (neg.f64 x)) (/.f64 #s(literal -1 binary64) #s(approx (- 1 y) (neg.f64 y)))) x) |
(/.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) #s(approx (- 1 y) (neg.f64 y))) |
(pow.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) x) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) #s(approx (- 1 y) (neg.f64 y)))) |
(*.f64 x (/.f64 #s(literal 1 binary64) #s(approx (- 1 y) (neg.f64 y)))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) #s(approx (- 1 y) (neg.f64 y)))) |
(*.f64 (/.f64 x #s(approx (- 1 y) (neg.f64 y))) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 y) (neg.f64 y))) x) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 y) (neg.f64 y))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (- 1 y) (neg.f64 y))) (neg.f64 x)) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) #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 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal -1 binary64) #s(approx (- 1 y) (neg.f64 y)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (- 1 y) (neg.f64 y)))) |
(neg.f64 (neg.f64 #s(approx (- 1 y) (neg.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- 1 y) (neg.f64 y)))) |
(/.f64 #s(approx (- 1 y) (neg.f64 y)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 #s(approx (- 1 y) (neg.f64 y))) #s(literal -1 binary64)) |
#s(approx (- 1 y) (neg.f64 y)) |
(*.f64 #s(literal 1 binary64) #s(approx (- 1 y) (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)) |
Compiled 14 564 to 1 655 computations (88.6% saved)
17 alts after pruning (6 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 916 | 2 | 918 |
| Fresh | 1 | 4 | 5 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 6 | 6 |
| Total | 917 | 17 | 934 |
| Status | Accuracy | Program |
|---|---|---|
| 46.4% | (/.f64 #s(approx (* (- x y) (+ y 1)) (fma.f64 y x x)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) | |
| ✓ | 52.4% | (*.f64 #s(approx (/ 1 (+ y -1)) #s(literal -1 binary64)) (-.f64 y x)) |
| ✓ | 41.8% | (*.f64 #s(approx (/ 1 (+ y -1)) #s(literal -1 binary64)) #s(approx (- y x) (neg.f64 x))) |
| ✓ | 48.8% | #s(approx (/ (- x y) (- 1 y)) (/.f64 y (+.f64 #s(literal -1 binary64) y))) |
| ✓ | 52.8% | #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
| ✓ | 13.7% | #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) |
| ✓ | 48.3% | #s(approx (/ (- x y) (- 1 y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
| 48.4% | #s(approx (/ (- x y) (- 1 y)) (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))) | |
| ✓ | 48.8% | #s(approx (/ (- x y) (- 1 y)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) y)) |
| 13.6% | #s(approx (/ (- x y) (- 1 y)) (*.f64 #s(approx (/ 1 (+ y -1)) (-.f64 #s(literal -1 binary64) y)) y)) | |
| ✓ | 13.6% | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (+ -1 y)) (neg.f64 (fma.f64 y y y)))) |
| 2.7% | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (+ -1 y)) (neg.f64 #s(approx (+ (* y y) y) (*.f64 y y))))) | |
| ✓ | 13.8% | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (+ -1 y)) (neg.f64 y))) |
| 41.8% | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y (fma.f64 y x x) x))) | |
| ✓ | 41.5% | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 x y x))) |
| 3.2% | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) #s(approx (+ (* x y) x) (*.f64 y x)))) | |
| ✓ | 37.1% | #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
Compiled 340 to 126 computations (62.9% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (+ -1 y)) (neg.f64 y))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) #s(approx (+ (* x y) x) (*.f64 y x)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 x y x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (+ -1 y)) (neg.f64 #s(approx (+ (* y y) y) (*.f64 y y))))) |
(*.f64 #s(approx (/ 1 (+ y -1)) #s(literal -1 binary64)) #s(approx (- y x) (neg.f64 x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* (+ -1 x) (+ (* y y) y)) x) (*.f64 y (-.f64 #s(literal -1 binary64) y)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (+ -1 y)) (neg.f64 (fma.f64 y y y)))) |
#s(approx (/ (- x y) (- 1 y)) (*.f64 #s(approx (/ 1 (+ y -1)) (-.f64 #s(literal -1 binary64) y)) y)) |
(*.f64 #s(approx (/ 1 (+ y -1)) #s(literal -1 binary64)) (-.f64 y x)) |
#s(approx (/ (- x y) (- 1 y)) (-.f64 (fma.f64 y x x) y)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 x (fma.f64 y y y) x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y (fma.f64 y x x) x))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x)) |
#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 #s(literal -1 binary64) y))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x)) |
#s(approx (/ (- x y) (- 1 y)) (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))) |
(/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) |
#s(approx (/ (- x y) (- 1 y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
#s(approx (/ (- x y) (- 1 y)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (-.f64 y x)) |
(/.f64 #s(approx (* (- x y) (+ y 1)) (fma.f64 y x x)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) |
(/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) |
| Outputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
3 calls:
| 9.0ms | y |
| 8.0ms | x |
| 8.0ms | (/.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 15 to 10 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (+ -1 y)) (neg.f64 y))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) #s(approx (+ (* x y) x) (*.f64 y x)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 x y x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (+ -1 y)) (neg.f64 #s(approx (+ (* y y) y) (*.f64 y y))))) |
(*.f64 #s(approx (/ 1 (+ y -1)) #s(literal -1 binary64)) #s(approx (- y x) (neg.f64 x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* (+ -1 x) (+ (* y y) y)) x) (*.f64 y (-.f64 #s(literal -1 binary64) y)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (+ -1 y)) (neg.f64 (fma.f64 y y y)))) |
#s(approx (/ (- x y) (- 1 y)) (*.f64 #s(approx (/ 1 (+ y -1)) (-.f64 #s(literal -1 binary64) y)) y)) |
(*.f64 #s(approx (/ 1 (+ y -1)) #s(literal -1 binary64)) (-.f64 y x)) |
#s(approx (/ (- x y) (- 1 y)) (-.f64 (fma.f64 y x x) y)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 x (fma.f64 y y y) x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y (fma.f64 y x x) x))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x)) |
#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 #s(literal -1 binary64) y))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x)) |
#s(approx (/ (- x y) (- 1 y)) (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))) |
(/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) |
#s(approx (/ (- x y) (- 1 y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 1 y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x)) |
#s(approx (/ (- x y) (- 1 y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
3 calls:
| 44.0ms | y |
| 7.0ms | x |
| 6.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.5% | 3 | x |
| 98.9% | 3 | y |
| 99.1% | 4 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (+ -1 y)) (neg.f64 y))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) #s(approx (+ (* x y) x) (*.f64 y x)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 x y x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (+ -1 y)) (neg.f64 #s(approx (+ (* y y) y) (*.f64 y y))))) |
(*.f64 #s(approx (/ 1 (+ y -1)) #s(literal -1 binary64)) #s(approx (- y x) (neg.f64 x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* (+ -1 x) (+ (* y y) y)) x) (*.f64 y (-.f64 #s(literal -1 binary64) y)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (+ -1 y)) (neg.f64 (fma.f64 y y y)))) |
#s(approx (/ (- x y) (- 1 y)) (*.f64 #s(approx (/ 1 (+ y -1)) (-.f64 #s(literal -1 binary64) y)) y)) |
(*.f64 #s(approx (/ 1 (+ y -1)) #s(literal -1 binary64)) (-.f64 y x)) |
#s(approx (/ (- x y) (- 1 y)) (-.f64 (fma.f64 y x x) y)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 x (fma.f64 y y y) x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y (fma.f64 y x x) x))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x)) |
#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 #s(literal -1 binary64) y))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x)) |
#s(approx (/ (- x y) (- 1 y)) (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))) |
(/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 1 y)) (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x)) |
#s(approx (/ (- x y) (- 1 y)) (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))) |
1 calls:
| 6.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 3 | y |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (+ -1 y)) (neg.f64 y))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) #s(approx (+ (* x y) x) (*.f64 y x)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 x y x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (+ -1 y)) (neg.f64 #s(approx (+ (* y y) y) (*.f64 y y))))) |
(*.f64 #s(approx (/ 1 (+ y -1)) #s(literal -1 binary64)) #s(approx (- y x) (neg.f64 x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* (+ -1 x) (+ (* y y) y)) x) (*.f64 y (-.f64 #s(literal -1 binary64) y)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (+ -1 y)) (neg.f64 (fma.f64 y y y)))) |
#s(approx (/ (- x y) (- 1 y)) (*.f64 #s(approx (/ 1 (+ y -1)) (-.f64 #s(literal -1 binary64) y)) y)) |
(*.f64 #s(approx (/ 1 (+ y -1)) #s(literal -1 binary64)) (-.f64 y x)) |
#s(approx (/ (- x y) (- 1 y)) (-.f64 (fma.f64 y x x) y)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 x (fma.f64 y y y) x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y (fma.f64 y x x) x))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x)) |
#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 #s(literal -1 binary64) y))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x)) |
| 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 (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x)) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 y (+.f64 #s(literal -1 binary64) y))) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
2 calls:
| 15.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 6.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.9% | 4 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 87.9% | 3 | y |
Compiled 12 to 8 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (+ -1 y)) (neg.f64 y))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) #s(approx (+ (* x y) x) (*.f64 y x)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 x y x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (+ -1 y)) (neg.f64 #s(approx (+ (* y y) y) (*.f64 y y))))) |
(*.f64 #s(approx (/ 1 (+ y -1)) #s(literal -1 binary64)) #s(approx (- y x) (neg.f64 x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* (+ -1 x) (+ (* y y) y)) x) (*.f64 y (-.f64 #s(literal -1 binary64) y)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (+ -1 y)) (neg.f64 (fma.f64 y y y)))) |
#s(approx (/ (- x y) (- 1 y)) (*.f64 #s(approx (/ 1 (+ y -1)) (-.f64 #s(literal -1 binary64) y)) y)) |
(*.f64 #s(approx (/ 1 (+ y -1)) #s(literal -1 binary64)) (-.f64 y x)) |
#s(approx (/ (- x y) (- 1 y)) (-.f64 (fma.f64 y x x) y)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 x (fma.f64 y y y) x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y (fma.f64 y x x) x))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x)) |
#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 (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y 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 |
|---|---|---|
| 97.7% | 4 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
Compiled 9 to 6 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (+ -1 y)) (neg.f64 y))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) #s(approx (+ (* x y) x) (*.f64 y x)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 x y x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (+ -1 y)) (neg.f64 #s(approx (+ (* y y) y) (*.f64 y y))))) |
(*.f64 #s(approx (/ 1 (+ y -1)) #s(literal -1 binary64)) #s(approx (- y x) (neg.f64 x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* (+ -1 x) (+ (* y y) y)) x) (*.f64 y (-.f64 #s(literal -1 binary64) y)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (+ -1 y)) (neg.f64 (fma.f64 y y y)))) |
#s(approx (/ (- x y) (- 1 y)) (*.f64 #s(approx (/ 1 (+ y -1)) (-.f64 #s(literal -1 binary64) y)) y)) |
(*.f64 #s(approx (/ 1 (+ y -1)) #s(literal -1 binary64)) (-.f64 y x)) |
#s(approx (/ (- x y) (- 1 y)) (-.f64 (fma.f64 y x x) y)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 x (fma.f64 y y y) x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y (fma.f64 y x x) x))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x)) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y 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 x (fma.f64 y y y) x))) |
2 calls:
| 6.0ms | y |
| 5.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.7% | 3 | y |
| 86.8% | 3 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
Compiled 12 to 8 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (+ -1 y)) (neg.f64 y))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) #s(approx (+ (* x y) x) (*.f64 y x)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 x y x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (+ -1 y)) (neg.f64 #s(approx (+ (* y y) y) (*.f64 y y))))) |
(*.f64 #s(approx (/ 1 (+ y -1)) #s(literal -1 binary64)) #s(approx (- y x) (neg.f64 x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* (+ -1 x) (+ (* y y) y)) x) (*.f64 y (-.f64 #s(literal -1 binary64) y)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (+ -1 y)) (neg.f64 (fma.f64 y y y)))) |
#s(approx (/ (- x y) (- 1 y)) (*.f64 #s(approx (/ 1 (+ y -1)) (-.f64 #s(literal -1 binary64) y)) y)) |
(*.f64 #s(approx (/ 1 (+ y -1)) #s(literal -1 binary64)) (-.f64 y x)) |
#s(approx (/ (- x y) (- 1 y)) (-.f64 (fma.f64 y x x) y)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 x (fma.f64 y y y) x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y (fma.f64 y x x) x))) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) (-.f64 (fma.f64 y x x) y)) |
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
2 calls:
| 4.0ms | y |
| 4.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.5% | 3 | y |
| 86.3% | 3 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
Compiled 12 to 8 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (+ -1 y)) (neg.f64 y))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) #s(approx (+ (* x y) x) (*.f64 y x)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 x y x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (+ -1 y)) (neg.f64 #s(approx (+ (* y y) y) (*.f64 y y))))) |
(*.f64 #s(approx (/ 1 (+ y -1)) #s(literal -1 binary64)) #s(approx (- y x) (neg.f64 x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* (+ -1 x) (+ (* y y) y)) x) (*.f64 y (-.f64 #s(literal -1 binary64) y)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (+ -1 y)) (neg.f64 (fma.f64 y y y)))) |
#s(approx (/ (- x y) (- 1 y)) (*.f64 #s(approx (/ 1 (+ y -1)) (-.f64 #s(literal -1 binary64) y)) y)) |
(*.f64 #s(approx (/ 1 (+ y -1)) #s(literal -1 binary64)) (-.f64 y x)) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
(*.f64 #s(approx (/ 1 (+ y -1)) #s(literal -1 binary64)) (-.f64 y x)) |
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
2 calls:
| 5.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 4.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.1% | 3 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 86.2% | 3 | y |
Compiled 12 to 8 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (+ -1 y)) (neg.f64 y))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) #s(approx (+ (* x y) x) (*.f64 y x)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 x y x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (+ -1 y)) (neg.f64 #s(approx (+ (* y y) y) (*.f64 y y))))) |
(*.f64 #s(approx (/ 1 (+ y -1)) #s(literal -1 binary64)) #s(approx (- y x) (neg.f64 x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* (+ -1 x) (+ (* y y) y)) x) (*.f64 y (-.f64 #s(literal -1 binary64) y)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (+ -1 y)) (neg.f64 (fma.f64 y y y)))) |
#s(approx (/ (- x y) (- 1 y)) (*.f64 #s(approx (/ 1 (+ y -1)) (-.f64 #s(literal -1 binary64) y)) y)) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 x y x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (+ -1 y)) (neg.f64 (fma.f64 y y y)))) |
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
2 calls:
| 3.0ms | y |
| 3.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.0% | 3 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 77.1% | 4 | y |
Compiled 12 to 8 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (+ -1 y)) (neg.f64 y))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) #s(approx (+ (* x y) x) (*.f64 y x)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 x y x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (+ -1 y)) (neg.f64 #s(approx (+ (* y y) y) (*.f64 y y))))) |
(*.f64 #s(approx (/ 1 (+ y -1)) #s(literal -1 binary64)) #s(approx (- y x) (neg.f64 x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* (+ -1 x) (+ (* y y) y)) x) (*.f64 y (-.f64 #s(literal -1 binary64) y)))) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 x y x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* (+ -1 x) (+ (* y y) y)) x) (*.f64 y (-.f64 #s(literal -1 binary64) y)))) |
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
1 calls:
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.1% | 4 | y |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (+ -1 y)) (neg.f64 y))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) #s(approx (+ (* x y) x) (*.f64 y x)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 x y x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (+ -1 y)) (neg.f64 #s(approx (+ (* y y) y) (*.f64 y y))))) |
(*.f64 #s(approx (/ 1 (+ y -1)) #s(literal -1 binary64)) #s(approx (- y x) (neg.f64 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 x y x))) |
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
1 calls:
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.4% | 3 | y |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (+ -1 y)) (neg.f64 y))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) #s(approx (+ (* x y) x) (*.f64 y x)))) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (+ -1 y)) (neg.f64 y))) |
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
3 calls:
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 37.1% | 1 | x |
| 48.1% | 2 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 47.6% | 3 | y |
Compiled 15 to 10 computations (33.3% 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 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 1.0ms | x |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 37.1% | 1 | x |
| 37.1% | 1 | y |
| 37.1% | 1 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
Compiled 15 to 10 computations (33.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 0.06885836154074142 | 7698945.351433665 |
| 11.0ms | -449353523.5857151 | -0.01525776274797628 |
| 11.0ms | 304× | 0 | valid |
Compiled 468 to 277 computations (40.8% saved)
ival-sub: 3.0ms (55.5% of total)ival-div: 2.0ms (37% 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 | 0.06885836154074142 | 7698945.351433665 |
| 5.0ms | -449353523.5857151 | -0.01525776274797628 |
| 2.0ms | 64× | 0 | valid |
Compiled 468 to 277 computations (40.8% saved)
ival-sub: 1.0ms (87.3% 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)| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.106126247302945 | 4186.994734980857 |
| 0.0ms | 2.630816766184773e-9 | 0.9983078232361069 |
| 0.0ms | -2.85149799322131e+25 | -3613577062935094000.0 |
Compiled 12 to 11 computations (8.3% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.106126247302945 | 4186.994734980857 |
| 0.0ms | 2.630816766184773e-9 | 0.9983078232361069 |
| 0.0ms | -2.85149799322131e+25 | -3613577062935094000.0 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.106126247302945 | 4186.994734980857 |
| 0.0ms | 2.630816766184773e-9 | 0.9983078232361069 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 0.06885836154074142 | 7698945.351433665 |
| 1.0ms | -449353523.5857151 | -0.01525776274797628 |
Compiled 297 to 182 computations (38.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.06885836154074142 | 7698945.351433665 |
| 6.0ms | -24468135272644.38 | -7050433349957.707 |
| 3.0ms | 80× | 0 | valid |
Compiled 208 to 151 computations (27.4% saved)
ival-sub: 1.0ms (70.3% of total)ival-div: 1.0ms (70.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.06885836154074142 | 7698945.351433665 |
| 39.0ms | 3.5908857345845475e-25 | 1.3485678054180762e-19 |
| 1.0ms | -449353523.5857151 | -0.01525776274797628 |
| 5.0ms | 144× | 0 | valid |
Compiled 458 to 253 computations (44.8% saved)
ival-sub: 1.0ms (39.8% of total)ival-div: 1.0ms (39.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.06885836154074142 | 7698945.351433665 |
| 1.0ms | 3.5908857345845475e-25 | 1.3485678054180762e-19 |
| 1.0ms | -449353523.5857151 | -0.01525776274797628 |
Compiled 458 to 271 computations (40.8% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.06885836154074142 | 7698945.351433665 |
| 1.0ms | -449353523.5857151 | -0.01525776274797628 |
Compiled 278 to 163 computations (41.4% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.0503852857016677e-18 | 9.045373984880587e-18 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | egg-herbie |
| 26× | +-commutative_binary64 |
| 18× | sub-neg_binary64 |
| 10× | *-commutative_binary64 |
| 6× | neg-sub0_binary64 |
| 6× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 106 | 669 |
| 1 | 127 | 669 |
| 2 | 139 | 669 |
| 3 | 142 | 669 |
| 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 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x)) #s(approx (/ (- x y) (- 1 y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))))) |
(if (<=.f64 y #s(literal -7926335344172073/9007199254740992 binary64)) #s(approx (/ (- x y) (- 1 y)) (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x)) #s(approx (/ (- x y) (- 1 y)) (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal -20000000000000001811939328 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 3022314549036573/604462909807314587353088 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y 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 #s(literal -1 binary64) y))) #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 -20000000000000001811939328 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 3022314549036573/604462909807314587353088 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y 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 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y 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)) #s(approx (/ x (- 1 y)) (fma.f64 x (fma.f64 y y y) x))))) |
(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)) (-.f64 (fma.f64 y x x) y)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)))) |
(if (<=.f64 y #s(literal -7200000000000 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 1 binary64)) (*.f64 #s(approx (/ 1 (+ y -1)) #s(literal -1 binary64)) (-.f64 y x)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)))) |
(if (<=.f64 y #s(literal -7926335344172073/9007199254740992 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 5316911983139663/1329227995784915872903807060280344576 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 x y x))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (+ -1 y)) (neg.f64 (fma.f64 y y y)))) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))))) |
(if (<=.f64 y #s(literal -7926335344172073/9007199254740992 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 5316911983139663/1329227995784915872903807060280344576 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 x y x))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* (+ -1 x) (+ (* y y) y)) x) (*.f64 y (-.f64 #s(literal -1 binary64) y)))) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))))) |
(if (<=.f64 y #s(literal -7926335344172073/9007199254740992 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 x 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 1298074214633707/324518553658426726783156020576256 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (+ -1 y)) (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 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x)) #s(approx (/ (- x y) (- 1 y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (- x y) (- 1 y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 y y y) x)) #s(approx (/ (- x y) (- 1 y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))))) |
(if (<=.f64 y #s(literal -7926335344172073/9007199254740992 binary64)) #s(approx (/ (- x y) (- 1 y)) (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x)) #s(approx (/ (- x y) (- 1 y)) (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))))) |
(if (<=.f64 y #s(literal -7926335344172073/9007199254740992 binary64)) #s(approx (/ (- x y) (- 1 y)) (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 y y y) x)) #s(approx (/ (- x y) (- 1 y)) (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal -20000000000000001811939328 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 3022314549036573/604462909807314587353088 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y 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 #s(literal -1 binary64) y))) #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 -20000000000000001811939328 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 3022314549036573/604462909807314587353088 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y 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 -20000000000000001811939328 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 3022314549036573/604462909807314587353088 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y 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 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y 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)) #s(approx (/ x (- 1 y)) (fma.f64 x (fma.f64 y y y) x))))) |
(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)) (-.f64 (fma.f64 y x x) y)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)))) |
(if (<=.f64 y #s(literal -7200000000000 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 1 binary64)) (*.f64 #s(approx (/ 1 (+ y -1)) #s(literal -1 binary64)) (-.f64 y x)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)))) |
(if (<=.f64 y #s(literal -7926335344172073/9007199254740992 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 5316911983139663/1329227995784915872903807060280344576 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 x y x))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (+ -1 y)) (neg.f64 (fma.f64 y y y)))) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))))) |
(if (<=.f64 y #s(literal -7926335344172073/9007199254740992 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 5316911983139663/1329227995784915872903807060280344576 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 x y x))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* (+ -1 x) (+ (* y y) y)) x) (*.f64 y (-.f64 #s(literal -1 binary64) y)))) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))))) |
(if (<=.f64 y #s(literal -7926335344172073/9007199254740992 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 x 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 1298074214633707/324518553658426726783156020576256 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (+ -1 y)) (neg.f64 y))) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))) |
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
| 25 580× | lower-fma.f64 |
| 25 580× | lower-fma.f32 |
| 22 196× | lower-fma.f64 |
| 22 196× | lower-fma.f32 |
| 13 832× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 301 | 3230 |
| 1 | 916 | 2949 |
| 2 | 2756 | 2823 |
| 0 | 8192 | 2671 |
| 0 | 96 | 384 |
| 1 | 281 | 358 |
| 2 | 788 | 338 |
| 3 | 2735 | 311 |
| 4 | 7419 | 311 |
| 0 | 8107 | 302 |
| 0 | 6 | 13 |
| 0 | 9 | 13 |
| 1 | 47 | 13 |
| 2 | 356 | 13 |
| 3 | 4967 | 13 |
| 0 | 9356 | 13 |
| 0 | 232 | 2675 |
| 1 | 688 | 2446 |
| 2 | 2030 | 2258 |
| 3 | 7525 | 2258 |
| 0 | 8264 | 2177 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 611 to 242 computations (60.4% saved)
Compiled 734 to 154 computations (79% saved)
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