
Time bar (total: 9.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 3 |
| 37.5% | 37.5% | 62.4% | 0.1% | 0% | 0% | 0% | 4 |
| 56.3% | 56.2% | 43.7% | 0.1% | 0% | 0% | 0% | 5 |
| 65.6% | 65.6% | 34.3% | 0.1% | 0% | 0% | 0% | 6 |
| 79.7% | 79.6% | 20.3% | 0.1% | 0% | 0% | 0% | 7 |
| 83.6% | 83.5% | 16.4% | 0.1% | 0% | 0% | 0% | 8 |
| 90.2% | 90.1% | 9.8% | 0.1% | 0% | 0% | 0% | 9 |
| 92% | 91.9% | 8% | 0.1% | 0% | 0% | 0% | 10 |
| 95.2% | 95.1% | 4.8% | 0.1% | 0% | 0% | 0% | 11 |
| 96% | 96% | 4% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 11 to 9 computations (18.2% saved)
| 1.1s | 8 253× | 0 | valid |
| 0.0ms | 2× | 1 | valid |
| 0.0ms | 1× | 2 | valid |
ival-sub: 376.0ms (55.6% of total)ival-add: 198.0ms (29.3% of total)ival-div: 88.0ms (13% of total)ival-true: 7.0ms (1% of total)exact: 5.0ms (0.7% of total)ival-assert: 3.0ms (0.4% of total)adjust: 0.0ms (0% of total)| 1× | egg-herbie |
| 464× | lower-fma.f64 |
| 464× | lower-fma.f32 |
| 312× | unsub-neg |
| 260× | div-sub |
| 226× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 51 |
| 1 | 66 | 47 |
| 2 | 168 | 46 |
| 3 | 494 | 45 |
| 4 | 1095 | 45 |
| 5 | 1632 | 45 |
| 6 | 1885 | 45 |
| 7 | 1991 | 45 |
| 8 | 2049 | 45 |
| 9 | 2062 | 45 |
| 0 | 7 | 9 |
| 0 | 11 | 9 |
| 1 | 21 | 9 |
| 2 | 38 | 9 |
| 3 | 79 | 9 |
| 4 | 186 | 9 |
| 5 | 346 | 9 |
| 6 | 616 | 9 |
| 7 | 904 | 9 |
| 8 | 948 | 9 |
| 9 | 964 | 9 |
| 10 | 965 | 9 |
| 0 | 965 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Outputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (-.f64 x y) |
| 0 | 0 | - | 0 | - | (+.f64 x y) |
| 0 | 0 | - | 0 | - | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 2 binary64) (+.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 |
| 27.0ms | 512× | 0 | valid |
Compiled 72 to 32 computations (55.6% saved)
ival-sub: 5.0ms (35.9% of total)ival-div: 4.0ms (28.7% of total)ival-add: 4.0ms (28.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
Compiled 11 to 7 computations (36.4% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 x y) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 2 binary64) (+.f64 x y)) |
| ✓ | cost-diff | 0 | (-.f64 x y) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| 464× | lower-fma.f64 |
| 464× | lower-fma.f32 |
| 224× | lower-*.f64 |
| 224× | lower-*.f32 |
| 152× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 23 |
| 0 | 11 | 23 |
| 1 | 21 | 23 |
| 2 | 38 | 23 |
| 3 | 79 | 23 |
| 4 | 186 | 23 |
| 5 | 346 | 23 |
| 6 | 616 | 23 |
| 7 | 904 | 23 |
| 8 | 948 | 23 |
| 9 | 964 | 23 |
| 10 | 965 | 23 |
| 0 | 965 | 23 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
(-.f64 x y) |
x |
y |
(-.f64 #s(literal 2 binary64) (+.f64 x y)) |
#s(literal 2 binary64) |
(+.f64 x y) |
| Outputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
(-.f64 x y) |
x |
y |
(-.f64 #s(literal 2 binary64) (+.f64 x y)) |
#s(literal 2 binary64) |
(+.f64 x y) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (-.f64 x y) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 2 binary64) (+.f64 x y)) |
| ✓ | accuracy | 100.0% | (+.f64 x y) |
| ✓ | accuracy | 100.0% | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| 15.0ms | 256× | 0 | valid |
Compiled 25 to 9 computations (64% saved)
ival-sub: 2.0ms (35.4% of total)ival-div: 2.0ms (35.4% of total)ival-add: 1.0ms (17.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))> |
#<alt (-.f64 x y)> |
#<alt (-.f64 #s(literal 2 binary64) (+.f64 x y))> |
#<alt (+.f64 x y)> |
| Outputs |
|---|
#<alt (* -1 (/ y (- 2 y)))> |
#<alt (+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))> |
#<alt (+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))> |
#<alt (+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))> |
#<alt -1> |
#<alt (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))> |
#<alt (- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))> |
#<alt (- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))> |
#<alt -1> |
#<alt (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))> |
#<alt (- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)> |
#<alt (- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)> |
#<alt (/ x (- 2 x))> |
#<alt (+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))> |
#<alt (+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))> |
#<alt (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))> |
#<alt 1> |
#<alt (- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))> |
#<alt (- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))> |
#<alt (- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))> |
#<alt 1> |
#<alt (+ 1 (* -1 (/ (- (* 2 x) 2) y)))> |
#<alt (+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))> |
#<alt (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))> |
#<alt (* -1 y)> |
#<alt (- x y)> |
#<alt (- x y)> |
#<alt (- x y)> |
#<alt x> |
#<alt (* x (+ 1 (* -1 (/ y x))))> |
#<alt (* x (+ 1 (* -1 (/ y x))))> |
#<alt (* x (+ 1 (* -1 (/ y x))))> |
#<alt x> |
#<alt (* -1 (* x (- (/ y x) 1)))> |
#<alt (* -1 (* x (- (/ y x) 1)))> |
#<alt (* -1 (* x (- (/ y x) 1)))> |
#<alt x> |
#<alt (+ x (* -1 y))> |
#<alt (+ x (* -1 y))> |
#<alt (+ x (* -1 y))> |
#<alt (* -1 y)> |
#<alt (* y (- (/ x y) 1))> |
#<alt (* y (- (/ x y) 1))> |
#<alt (* y (- (/ x y) 1))> |
#<alt (* -1 y)> |
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))> |
#<alt (- 2 y)> |
#<alt (- (+ 2 (* -1 x)) y)> |
#<alt (- (+ 2 (* -1 x)) y)> |
#<alt (- (+ 2 (* -1 x)) y)> |
#<alt (* -1 x)> |
#<alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))> |
#<alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))> |
#<alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))> |
#<alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))> |
#<alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))> |
#<alt (- 2 x)> |
#<alt (- (+ 2 (* -1 y)) x)> |
#<alt (- (+ 2 (* -1 y)) x)> |
#<alt (- (+ 2 (* -1 y)) x)> |
#<alt (* -1 y)> |
#<alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))> |
#<alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))> |
#<alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))> |
#<alt (* -1 y)> |
#<alt (* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))> |
#<alt (* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))> |
#<alt (* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))> |
#<alt y> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt x> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt x> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt y> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt y> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | inf | (/ (- x y) (- 2 (+ x y))) |
| 1.0ms | y | @ | inf | (/ (- x y) (- 2 (+ x y))) |
| 1.0ms | x | @ | 0 | (/ (- x y) (- 2 (+ x y))) |
| 1.0ms | y | @ | 0 | (/ (- x y) (- 2 (+ x y))) |
| 1.0ms | y | @ | -inf | (/ (- x y) (- 2 (+ x y))) |
| 1× | batch-egg-rewrite |
| 4 750× | lower-fma.f64 |
| 4 750× | lower-fma.f32 |
| 4 670× | lower-*.f64 |
| 4 670× | lower-*.f32 |
| 4 200× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 20 |
| 0 | 11 | 20 |
| 1 | 60 | 20 |
| 2 | 525 | 20 |
| 3 | 7752 | 20 |
| 0 | 8474 | 20 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
(-.f64 x y) |
(-.f64 #s(literal 2 binary64) (+.f64 x y)) |
(+.f64 x y) |
| Outputs |
|---|
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64)))) |
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64))))) |
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (neg.f64 y))) |
(+.f64 (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64))) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (neg.f64 y)) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))) |
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) #s(literal 4 binary64)) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y))))) |
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y)))) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) #s(literal 4 binary64))) |
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) (fma.f64 (+.f64 x y) (+.f64 x y) #s(literal 4 binary64))) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 #s(literal 2 binary64) (+.f64 x y)))) |
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) #s(literal 2 binary64)) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (+.f64 x y))) |
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (+.f64 x y)) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) #s(literal 2 binary64))) |
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (+.f64 x #s(literal 2 binary64))) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) y)) |
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (+.f64 y #s(literal 2 binary64))) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) x)) |
(+.f64 (*.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1 binary64)) (*.f64 (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64))) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)))))) (*.f64 (*.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))))) |
(+.f64 (*.f64 (*.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)))))) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))))) |
(+.f64 (*.f64 (fma.f64 (+.f64 x y) (+.f64 x y) #s(literal 4 binary64)) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)))))) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 x y)) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))))) |
(+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))))) |
(+.f64 (*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))))) |
(+.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 y (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))))) |
(+.f64 (*.f64 (+.f64 y #s(literal 2 binary64)) (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 x (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y))) #s(literal -1 binary64))) |
(-.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 x y) (+.f64 (+.f64 x y) #s(literal -2 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (+.f64 x y) #s(literal -2 binary64))) (/.f64 (-.f64 x y) (+.f64 (+.f64 x y) #s(literal -2 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x y) (*.f64 y y))) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (+.f64 x y) (*.f64 y y))) (-.f64 #s(literal 2 binary64) (+.f64 x y)))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (/.f64 (*.f64 y y) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (+.f64 x y)))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (fma.f64 x (+.f64 x y) (*.f64 y y)))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (fma.f64 x (+.f64 x y) (*.f64 y y))))) |
(-.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))) (/.f64 (*.f64 y y) (*.f64 (+.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))))) |
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(-.f64 #s(literal 0 binary64) (-.f64 (neg.f64 y) x)) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (*.f64 y (/.f64 y (-.f64 x y)))) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 y #s(literal 1 binary64))) |
(fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y))))) |
(fma.f64 y #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 x y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y))))) |
(fma.f64 (*.f64 x x) (*.f64 (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (*.f64 y (+.f64 x y)) (*.f64 (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 y (+.f64 x y)) (*.f64 (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))) #s(literal 1 binary64)))) |
(fma.f64 #s(literal 1 binary64) x y) |
(fma.f64 #s(literal 1 binary64) y x) |
(fma.f64 #s(literal 1 binary64) y (neg.f64 (neg.f64 x))) |
(fma.f64 #s(literal 1 binary64) y (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 y) x) |
(fma.f64 #s(literal -1 binary64) (neg.f64 y) (neg.f64 (neg.f64 x))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 y) (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (*.f64 x y) (*.f64 (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))) #s(literal 1 binary64)) (*.f64 x x) (*.f64 (*.f64 (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))) #s(literal 1 binary64)) (*.f64 y (+.f64 x y)))) |
(fma.f64 (*.f64 (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))) #s(literal 1 binary64)) (*.f64 y (+.f64 x y)) (*.f64 (*.f64 (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))) #s(literal 1 binary64)) (*.f64 x x))) |
(fma.f64 (*.f64 (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))) #s(literal 1 binary64)) (fma.f64 x x (*.f64 y y)) (*.f64 (*.f64 (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))) #s(literal 1 binary64)) (*.f64 x y))) |
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x (-.f64 x y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y))))) |
(fma.f64 (/.f64 x (*.f64 (-.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y)))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x y) (*.f64 y y)))) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y))))) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y)))) (fma.f64 x (+.f64 x y) (*.f64 y y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y))))) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y)))) (fma.f64 x x (*.f64 (neg.f64 y) (-.f64 (neg.f64 y) x))) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y))))) |
(fma.f64 (/.f64 x (*.f64 (-.f64 x y) (+.f64 x y))) (*.f64 x (+.f64 x y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y))))) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 x y) (+.f64 x y))) (+.f64 x y) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y))))) |
(fma.f64 (/.f64 x (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (/.f64 x (fma.f64 x (-.f64 x y) (*.f64 y y))) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y))))) |
(fma.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y))))) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 x y) (-.f64 y x))) (-.f64 (neg.f64 y) x) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y))))) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (-.f64 y x))) (neg.f64 (fma.f64 x (+.f64 x y) (*.f64 y y))) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y))))) |
(neg.f64 (-.f64 (neg.f64 y) x)) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 x (-.f64 x y) (*.f64 y y))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (-.f64 x y)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x)) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (fma.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (-.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y)))) (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (*.f64 (-.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (-.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y)))) (*.f64 (-.f64 x y) (fma.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y)) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (-.f64 x y) (+.f64 x y))) (*.f64 (-.f64 x y) (fma.f64 x x (*.f64 y y)))) |
(/.f64 (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (-.f64 x y)) (*.f64 (-.f64 x y) (+.f64 x y))) |
(/.f64 (*.f64 (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x y) (*.f64 y y)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x y)) (*.f64 (-.f64 x y) (*.f64 y y))) (*.f64 (-.f64 x y) (-.f64 x y))) |
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 y x))) (-.f64 x y)) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (fma.f64 x (-.f64 x y) (*.f64 y y))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))) |
(/.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (fma.f64 x (-.f64 x y) (*.f64 y y))) |
(/.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y (neg.f64 y)))) (fma.f64 x (-.f64 x y) (*.f64 y y))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x y)) #s(literal 3 binary64)) (pow.f64 (*.f64 y (/.f64 y (-.f64 x y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 x x) (-.f64 x y)) (fma.f64 (*.f64 y (/.f64 y (-.f64 x y))) (*.f64 y (/.f64 y (-.f64 x y))) (*.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (*.f64 y (/.f64 y (-.f64 x y))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 x x) (-.f64 x y))) (*.f64 (*.f64 y (/.f64 y (-.f64 x y))) (*.f64 y (/.f64 y (-.f64 x y))))) (fma.f64 x (/.f64 x (-.f64 x y)) (*.f64 y (/.f64 y (-.f64 x y))))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (fma.f64 x (-.f64 x y) (*.f64 y y))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 y x))) (-.f64 y x)) |
(/.f64 (*.f64 (*.f64 (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))) #s(literal 1 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)))))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (+.f64 x y)) (-.f64 (*.f64 y (+.f64 x y)) (*.f64 x x))))) |
(/.f64 (*.f64 (*.f64 (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (-.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))) (-.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y)))) (fma.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (-.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y)))) (*.f64 (-.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (-.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (fma.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y)) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (-.f64 x y) (+.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (fma.f64 x x (*.f64 y y))) |
(/.f64 (*.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 x (+.f64 x y) (*.f64 y y))) (*.f64 (-.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y)))) |
(/.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) #s(literal 1 binary64)) (-.f64 x y)) |
(/.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) #s(literal -1 binary64)) (-.f64 x y)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal -1 binary64)) |
(*.f64 (+.f64 x y) #s(literal 1 binary64)) |
(*.f64 (+.f64 x y) (*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 x y)))) |
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (/.f64 (+.f64 x y) (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (*.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))))) |
(*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (*.f64 (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))) #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) (+.f64 x y)) |
(*.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y))) |
(*.f64 #s(literal -1 binary64) (-.f64 (neg.f64 y) x)) |
(*.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))) |
(*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (*.f64 (-.f64 x y) (+.f64 x y))) |
(*.f64 (*.f64 (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))) #s(literal 1 binary64)) (fma.f64 x (+.f64 x y) (*.f64 y y))) |
(*.f64 (*.f64 (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))) #s(literal 1 binary64)) (fma.f64 x x (*.f64 (neg.f64 y) (-.f64 (neg.f64 y) x)))) |
(*.f64 (/.f64 (+.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (/.f64 (+.f64 x y) (*.f64 (-.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y)))) (/.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x y) (*.f64 y y))))) |
(*.f64 (/.f64 (+.f64 x y) (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (/.f64 (-.f64 x y) (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))) #s(literal 1 binary64))) (fma.f64 x (+.f64 x y) (*.f64 y y))) |
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x y))) |
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (*.f64 (-.f64 x y) (+.f64 x y))) (-.f64 (neg.f64 y) x)) |
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (*.f64 (-.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y)))) (neg.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)))) |
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (*.f64 (+.f64 x y) (-.f64 y x))) (-.f64 (neg.f64 y) x)) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (-.f64 y x)) (*.f64 (*.f64 y (-.f64 y x)) (*.f64 y (-.f64 y x)))))) (fma.f64 (*.f64 y (-.f64 y x)) (-.f64 (*.f64 y (-.f64 y x)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (-.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))) (-.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))) |
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (-.f64 y x))) (neg.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)))) |
| 1× | egg-herbie |
| 12 038× | lower-fma.f64 |
| 12 038× | lower-fma.f32 |
| 4 472× | lower-*.f64 |
| 4 472× | lower-*.f32 |
| 2 680× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 186 | 985 |
| 1 | 571 | 921 |
| 2 | 1809 | 857 |
| 3 | 7607 | 851 |
| 0 | 8573 | 806 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ y (- 2 y))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2))))) |
-1 |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) |
-1 |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
(/ x (- 2 x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
1 |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y)))) |
1 |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) 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))))) |
(- 2 y) |
(- (+ 2 (* -1 x)) y) |
(- (+ 2 (* -1 x)) y) |
(- (+ 2 (* -1 x)) y) |
(* -1 x) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(- 2 x) |
(- (+ 2 (* -1 y)) x) |
(- (+ 2 (* -1 y)) x) |
(- (+ 2 (* -1 y)) x) |
(* -1 y) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
| Outputs |
|---|
(* -1 (/ y (- 2 y))) |
(/.f64 y (+.f64 y #s(literal -2 binary64))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))))) |
(+.f64 (/.f64 y (+.f64 y #s(literal -2 binary64))) (fma.f64 x (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y #s(literal -2 binary64)))) (/.f64 x (-.f64 #s(literal 2 binary64) y)))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(fma.f64 x (fma.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y #s(literal -2 binary64))))) (-.f64 #s(literal 2 binary64) y)) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y #s(literal -2 binary64)))))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(fma.f64 x (fma.f64 x (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y #s(literal -2 binary64))))) (-.f64 #s(literal 2 binary64) y)) (+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y #s(literal -2 binary64)))))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) |
-1 |
#s(literal -1 binary64) |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64)) |
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(fma.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (*.f64 x x)) (+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64))) |
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) |
(fma.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64))) (*.f64 x (*.f64 x x))) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) x))) x))) |
-1 |
#s(literal -1 binary64) |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64)) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) x))) x)) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (/.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (fma.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (-.f64 #s(literal 2 binary64) y) x) (-.f64 #s(literal 2 binary64) y))) x)) x)) |
(/ x (- 2 x)) |
(/.f64 x (-.f64 #s(literal 2 binary64) x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 y (+.f64 (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) x))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 y (+.f64 (fma.f64 y (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)))) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -2 binary64))))) (+.f64 (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) x)))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (fma.f64 y (fma.f64 y (+.f64 (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)))) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))) (fma.f64 y (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -2 binary64)))))))) (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)))) (/.f64 y (+.f64 x #s(literal -2 binary64))))) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) y)) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y))) |
(fma.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) (*.f64 y y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y)))) |
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) (*.f64 y y)) (-.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 #s(literal 2 binary64) x) y)) (+.f64 x #s(literal -2 binary64))) (/.f64 (-.f64 #s(literal 2 binary64) x) y))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) y)) |
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 x x) (fma.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (+.f64 (+.f64 x x) #s(literal -2 binary64)) y) #s(literal -2 binary64))) y)) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 x x) (+.f64 (/.f64 (*.f64 (+.f64 (+.f64 x x) #s(literal -2 binary64)) (fma.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 #s(literal 2 binary64) x) y) (-.f64 #s(literal 2 binary64) x))) y) #s(literal -2 binary64))) 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 (/.f64 (*.f64 y x) x)) |
(* x (+ 1 (* -1 (/ y x)))) |
(-.f64 x (/.f64 (*.f64 y x) x)) |
(* x (+ 1 (* -1 (/ y x)))) |
(-.f64 x (/.f64 (*.f64 y x) x)) |
x |
(* -1 (* x (- (/ y x) 1))) |
(-.f64 x (/.f64 (*.f64 y x) x)) |
(* -1 (* x (- (/ y x) 1))) |
(-.f64 x (/.f64 (*.f64 y x) x)) |
(* -1 (* x (- (/ y x) 1))) |
(-.f64 x (/.f64 (*.f64 y x) x)) |
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)) |
(fma.f64 y (/.f64 x y) (neg.f64 y)) |
(* y (- (/ x y) 1)) |
(fma.f64 y (/.f64 x y) (neg.f64 y)) |
(* y (- (/ x y) 1)) |
(fma.f64 y (/.f64 x y) (neg.f64 y)) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(fma.f64 y (/.f64 x y) (neg.f64 y)) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(fma.f64 y (/.f64 x y) (neg.f64 y)) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(fma.f64 y (/.f64 x y) (neg.f64 y)) |
(- 2 y) |
(-.f64 #s(literal 2 binary64) y) |
(- (+ 2 (* -1 x)) y) |
(-.f64 #s(literal 2 binary64) (+.f64 y x)) |
(- (+ 2 (* -1 x)) y) |
(-.f64 #s(literal 2 binary64) (+.f64 y x)) |
(- (+ 2 (* -1 x)) y) |
(-.f64 #s(literal 2 binary64) (+.f64 y x)) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) x) x) x) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) x) x) x) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) x) x) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) x) x) x) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) x) x) x) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) x) x) x) |
(- 2 x) |
(-.f64 #s(literal 2 binary64) x) |
(- (+ 2 (* -1 y)) x) |
(-.f64 #s(literal 2 binary64) (+.f64 y x)) |
(- (+ 2 (* -1 y)) x) |
(-.f64 #s(literal 2 binary64) (+.f64 y x)) |
(- (+ 2 (* -1 y)) x) |
(-.f64 #s(literal 2 binary64) (+.f64 y x)) |
(* -1 y) |
(neg.f64 y) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(-.f64 (*.f64 y (/.f64 (-.f64 #s(literal 2 binary64) x) y)) y) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(-.f64 (*.f64 y (/.f64 (-.f64 #s(literal 2 binary64) x) y)) y) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(-.f64 (*.f64 y (/.f64 (-.f64 #s(literal 2 binary64) x) y)) y) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(-.f64 (*.f64 y (/.f64 (-.f64 #s(literal 2 binary64) x) y)) y) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(-.f64 (*.f64 y (/.f64 (-.f64 #s(literal 2 binary64) x) y)) y) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(-.f64 (*.f64 y (/.f64 (-.f64 #s(literal 2 binary64) x) y)) y) |
y |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
x |
(* x (+ 1 (/ y x))) |
(fma.f64 x (/.f64 y x) x) |
(* x (+ 1 (/ y x))) |
(fma.f64 x (/.f64 y x) x) |
(* x (+ 1 (/ y x))) |
(fma.f64 x (/.f64 y x) x) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 x (/.f64 y x) x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 x (/.f64 y x) x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 x (/.f64 y x) x) |
x |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
y |
(* y (+ 1 (/ x y))) |
(fma.f64 y (/.f64 x y) y) |
(* y (+ 1 (/ x y))) |
(fma.f64 y (/.f64 x y) y) |
(* y (+ 1 (/ x y))) |
(fma.f64 y (/.f64 x y) y) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(fma.f64 y (/.f64 x y) y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(fma.f64 y (/.f64 x y) y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(fma.f64 y (/.f64 x y) y) |
Compiled 19 528 to 1 840 computations (90.6% saved)
13 alts after pruning (12 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 682 | 12 | 694 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 682 | 13 | 695 |
| Status | Accuracy | Program |
|---|---|---|
| 91.5% | (/.f64 (fma.f64 y (/.f64 x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) | |
| 62.2% | (/.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (+.f64 x y)) | |
| ✓ | 100.0% | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| ▶ | 66.6% | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x)) |
| 34.5% | (/.f64 (-.f64 x y) (neg.f64 y)) | |
| ▶ | 38.9% | (/.f64 (-.f64 x y) (neg.f64 x)) |
| 65.2% | (/.f64 (*.f64 (-.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) | |
| 47.3% | (/.f64 y (+.f64 y #s(literal -2 binary64))) | |
| ▶ | 53.4% | (/.f64 x (-.f64 #s(literal 2 binary64) x)) |
| 34.8% | (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) y)) | |
| ▶ | 99.8% | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) |
| 34.2% | #s(literal 1 binary64) | |
| ▶ | 38.8% | #s(literal -1 binary64) |
Compiled 259 to 163 computations (37.1% saved)
| 1× | egg-herbie |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 #s(literal 2 binary64) x) |
| ✓ | cost-diff | 0 | (-.f64 x y) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x)) |
| ✓ | cost-diff | 0 | (neg.f64 x) |
| ✓ | cost-diff | 0 | (-.f64 x y) |
| ✓ | cost-diff | 128 | (/.f64 (-.f64 x y) (neg.f64 x)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 2 binary64) x) |
| ✓ | cost-diff | 0 | (/.f64 x (-.f64 #s(literal 2 binary64) x)) |
| ✓ | cost-diff | 0 | (+.f64 x y) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 2 binary64) (+.f64 x y)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) |
| 752× | lower-fma.f64 |
| 752× | lower-fma.f32 |
| 416× | lower-*.f32 |
| 414× | lower-*.f64 |
| 374× | div-sub |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 73 |
| 0 | 25 | 73 |
| 1 | 46 | 71 |
| 2 | 98 | 70 |
| 3 | 234 | 70 |
| 4 | 556 | 70 |
| 5 | 1195 | 70 |
| 6 | 1605 | 70 |
| 7 | 1776 | 70 |
| 8 | 1809 | 70 |
| 9 | 1815 | 70 |
| 0 | 1815 | 70 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
#s(literal 1 binary64) |
(-.f64 #s(literal 2 binary64) (+.f64 x y)) |
#s(literal 2 binary64) |
(+.f64 x y) |
x |
y |
(-.f64 x y) |
#s(literal -1 binary64) |
(/.f64 x (-.f64 #s(literal 2 binary64) x)) |
x |
(-.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
(/.f64 (-.f64 x y) (neg.f64 x)) |
(-.f64 x y) |
x |
y |
(neg.f64 x) |
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x)) |
(-.f64 x y) |
x |
y |
(-.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) |
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
#s(literal 1 binary64) |
(-.f64 #s(literal 2 binary64) (+.f64 x y)) |
#s(literal 2 binary64) |
(+.f64 x y) |
x |
y |
(-.f64 x y) |
#s(literal -1 binary64) |
(/.f64 x (-.f64 #s(literal 2 binary64) x)) |
x |
(-.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
(/.f64 (-.f64 x y) (neg.f64 x)) |
(+.f64 #s(literal -1 binary64) (/.f64 y x)) |
(-.f64 x y) |
x |
y |
(neg.f64 x) |
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x)) |
(-.f64 x y) |
x |
y |
(-.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (-.f64 x y) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 2 binary64) x) |
| ✓ | accuracy | 100.0% | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x)) |
| ✓ | accuracy | 100.0% | (-.f64 x y) |
| ✓ | accuracy | 100.0% | (neg.f64 x) |
| ✓ | accuracy | 100.0% | (/.f64 (-.f64 x y) (neg.f64 x)) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 2 binary64) x) |
| ✓ | accuracy | 100.0% | (/.f64 x (-.f64 #s(literal 2 binary64) x)) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 2 binary64) (+.f64 x y)) |
| ✓ | accuracy | 100.0% | (+.f64 x y) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| ✓ | accuracy | 99.8% | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) |
| 28.0ms | 256× | 0 | valid |
Compiled 75 to 17 computations (77.3% saved)
ival-div: 6.0ms (38.2% of total)ival-sub: 5.0ms (31.9% of total)ival-add: 2.0ms (12.7% of total)ival-mult: 1.0ms (6.4% of total)ival-neg: 1.0ms (6.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y))> |
#<alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y)))> |
#<alt (-.f64 #s(literal 2 binary64) (+.f64 x y))> |
#<alt (+.f64 x y)> |
#<alt (/.f64 x (-.f64 #s(literal 2 binary64) x))> |
#<alt (-.f64 #s(literal 2 binary64) x)> |
#<alt (/.f64 (-.f64 x y) (neg.f64 x))> |
#<alt (-.f64 x y)> |
#<alt (neg.f64 x)> |
#<alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x))> |
| Outputs |
|---|
#<alt (* -1 (/ y (- 2 y)))> |
#<alt (+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))> |
#<alt (+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))> |
#<alt (+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))> |
#<alt -1> |
#<alt (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))> |
#<alt (- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))> |
#<alt (- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))> |
#<alt -1> |
#<alt (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))> |
#<alt (- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)> |
#<alt (- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)> |
#<alt (/ x (- 2 x))> |
#<alt (+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))> |
#<alt (+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))> |
#<alt (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))> |
#<alt 1> |
#<alt (- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))> |
#<alt (- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))> |
#<alt (- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))> |
#<alt 1> |
#<alt (+ 1 (* -1 (/ (- (* 2 x) 2) y)))> |
#<alt (+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))> |
#<alt (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))> |
#<alt (/ 1 (- 2 y))> |
#<alt (+ (/ 1 (- 2 y)) (/ x (pow (- 2 y) 2)))> |
#<alt (+ (* x (+ (/ 1 (pow (- 2 y) 2)) (/ x (pow (- 2 y) 3)))) (/ 1 (- 2 y)))> |
#<alt (+ (* x (+ (* x (+ (/ 1 (pow (- 2 y) 3)) (/ x (pow (- 2 y) 4)))) (/ 1 (pow (- 2 y) 2)))) (/ 1 (- 2 y)))> |
#<alt (/ -1 x)> |
#<alt (/ (- (/ y x) (+ 1 (* 2 (/ 1 x)))) x)> |
#<alt (/ (- (+ (/ y x) (/ (* (- 2 y) (- y 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) x)> |
#<alt (/ (- (+ (/ y x) (/ (* (pow (- 2 y) 2) (- y 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- y 2)) (pow x 2))) (* 2 (/ 1 x))))) x)> |
#<alt (/ -1 x)> |
#<alt (* -1 (/ (+ 1 (* -1 (/ (- y 2) x))) x))> |
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (+ y (/ (* (- 2 y) (- y 2)) x)) 2) x))) x))> |
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (+ y (* -1 (/ (- (* -1 (/ (* (pow (- 2 y) 2) (- y 2)) x)) (* (- 2 y) (- y 2))) x))) 2) x))) x))> |
#<alt (/ 1 (- 2 x))> |
#<alt (+ (/ 1 (- 2 x)) (/ y (pow (- 2 x) 2)))> |
#<alt (+ (* y (+ (/ 1 (pow (- 2 x) 2)) (/ y (pow (- 2 x) 3)))) (/ 1 (- 2 x)))> |
#<alt (+ (* y (+ (* y (+ (/ 1 (pow (- 2 x) 3)) (/ y (pow (- 2 x) 4)))) (/ 1 (pow (- 2 x) 2)))) (/ 1 (- 2 x)))> |
#<alt (/ -1 y)> |
#<alt (/ (- (/ x y) (+ 1 (* 2 (/ 1 y)))) y)> |
#<alt (/ (- (+ (/ x y) (/ (* (- 2 x) (- x 2)) (pow y 2))) (+ 1 (* 2 (/ 1 y)))) y)> |
#<alt (/ (- (+ (/ x y) (/ (* (pow (- 2 x) 2) (- x 2)) (pow y 3))) (+ 1 (+ (* -1 (/ (* (- 2 x) (- x 2)) (pow y 2))) (* 2 (/ 1 y))))) y)> |
#<alt (/ -1 y)> |
#<alt (* -1 (/ (+ 1 (* -1 (/ (- x 2) y))) y))> |
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (+ x (/ (* (- 2 x) (- x 2)) y)) 2) y))) y))> |
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- x 2)) y)) (* (- 2 x) (- x 2))) y))) 2) y))) y))> |
#<alt (- 2 y)> |
#<alt (- (+ 2 (* -1 x)) y)> |
#<alt (- (+ 2 (* -1 x)) y)> |
#<alt (- (+ 2 (* -1 x)) y)> |
#<alt (* -1 x)> |
#<alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))> |
#<alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))> |
#<alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))> |
#<alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))> |
#<alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))> |
#<alt (- 2 x)> |
#<alt (- (+ 2 (* -1 y)) x)> |
#<alt (- (+ 2 (* -1 y)) x)> |
#<alt (- (+ 2 (* -1 y)) x)> |
#<alt (* -1 y)> |
#<alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))> |
#<alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))> |
#<alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))> |
#<alt (* -1 y)> |
#<alt (* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))> |
#<alt (* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))> |
#<alt (* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))> |
#<alt y> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt x> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt x> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt y> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt y> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* 1/4 x)))> |
#<alt (* x (+ 1/2 (* x (+ 1/4 (* 1/8 x)))))> |
#<alt (* x (+ 1/2 (* x (+ 1/4 (* x (+ 1/8 (* 1/16 x)))))))> |
#<alt -1> |
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))> |
#<alt (- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1)> |
#<alt (- (* -1 (/ (+ 4 (* 8 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))> |
#<alt -1> |
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))> |
#<alt (- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1)> |
#<alt (- (* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x)) 1)> |
#<alt 2> |
#<alt (+ 2 (* -1 x))> |
#<alt (+ 2 (* -1 x))> |
#<alt (+ 2 (* -1 x))> |
#<alt (* -1 x)> |
#<alt (* x (- (* 2 (/ 1 x)) 1))> |
#<alt (* x (- (* 2 (/ 1 x)) 1))> |
#<alt (* x (- (* 2 (/ 1 x)) 1))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (- 1 (* 2 (/ 1 x)))))> |
#<alt (* -1 (* x (- 1 (* 2 (/ 1 x)))))> |
#<alt (* -1 (* x (- 1 (* 2 (/ 1 x)))))> |
#<alt (/ y x)> |
#<alt (/ (+ y (* -1 x)) x)> |
#<alt (/ (+ y (* -1 x)) x)> |
#<alt (/ (+ y (* -1 x)) x)> |
#<alt -1> |
#<alt (- (/ y x) 1)> |
#<alt (- (/ y x) 1)> |
#<alt (- (/ y x) 1)> |
#<alt -1> |
#<alt (- (/ y x) 1)> |
#<alt (- (/ y x) 1)> |
#<alt (- (/ y x) 1)> |
#<alt -1> |
#<alt (- (/ y x) 1)> |
#<alt (- (/ y x) 1)> |
#<alt (- (/ y x) 1)> |
#<alt (/ y x)> |
#<alt (* y (- (/ 1 x) (/ 1 y)))> |
#<alt (* y (- (/ 1 x) (/ 1 y)))> |
#<alt (* y (- (/ 1 x) (/ 1 y)))> |
#<alt (/ y x)> |
#<alt (* -1 (* y (- (/ 1 y) (/ 1 x))))> |
#<alt (* -1 (* y (- (/ 1 y) (/ 1 x))))> |
#<alt (* -1 (* y (- (/ 1 y) (/ 1 x))))> |
#<alt (* -1 y)> |
#<alt (- x y)> |
#<alt (- x y)> |
#<alt (- x y)> |
#<alt x> |
#<alt (* x (+ 1 (* -1 (/ y x))))> |
#<alt (* x (+ 1 (* -1 (/ y x))))> |
#<alt (* x (+ 1 (* -1 (/ y x))))> |
#<alt x> |
#<alt (* -1 (* x (- (/ y x) 1)))> |
#<alt (* -1 (* x (- (/ y x) 1)))> |
#<alt (* -1 (* x (- (/ y x) 1)))> |
#<alt x> |
#<alt (+ x (* -1 y))> |
#<alt (+ x (* -1 y))> |
#<alt (+ x (* -1 y))> |
#<alt (* -1 y)> |
#<alt (* y (- (/ x y) 1))> |
#<alt (* y (- (/ x y) 1))> |
#<alt (* y (- (/ x y) 1))> |
#<alt (* -1 y)> |
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1/2 y)> |
#<alt (+ (* -1/2 y) (* x (- 1/2 (* 1/4 y))))> |
#<alt (+ (* -1/2 y) (* x (- (+ 1/2 (* 1/2 (* x (- 1/2 (* 1/4 y))))) (* 1/4 y))))> |
#<alt (+ (* -1/2 y) (* x (- (+ 1/2 (* x (- (* 1/4 (* x (- 1/2 (* 1/4 y)))) (* -1/2 (- 1/2 (* 1/4 y)))))) (* 1/4 y))))> |
#<alt -1> |
#<alt (- (/ y x) (+ 1 (* 2 (/ 1 x))))> |
#<alt (- (+ (* 2 (/ (- y 2) (pow x 2))) (/ y x)) (+ 1 (* 2 (/ 1 x))))> |
#<alt (- (+ (* 4 (/ (- y 2) (pow x 3))) (/ y x)) (+ 1 (+ (* -2 (/ (- y 2) (pow x 2))) (* 2 (/ 1 x)))))> |
#<alt -1> |
#<alt (- (/ y x) (+ 1 (* 2 (/ 1 x))))> |
#<alt (- (* -1 (/ (+ (* -2 (/ (- y 2) x)) (* -1 (- y 2))) x)) 1)> |
#<alt (- (* -1 (/ (+ (* -1 (- y 2)) (* -1 (/ (+ (* 2 (- y 2)) (* 4 (/ (- y 2) x))) x))) x)) 1)> |
#<alt (/ x (- 2 x))> |
#<alt (+ (* -1 (/ y (- 2 x))) (/ x (- 2 x)))> |
#<alt (+ (* -1 (/ y (- 2 x))) (/ x (- 2 x)))> |
#<alt (+ (* -1 (/ y (- 2 x))) (/ x (- 2 x)))> |
#<alt (* -1 (/ y (- 2 x)))> |
#<alt (* y (- (/ x (* y (- 2 x))) (/ 1 (- 2 x))))> |
#<alt (* y (- (/ x (* y (- 2 x))) (/ 1 (- 2 x))))> |
#<alt (* y (- (/ x (* y (- 2 x))) (/ 1 (- 2 x))))> |
#<alt (* -1 (/ y (- 2 x)))> |
#<alt (* -1 (* y (+ (* -1 (/ x (* y (- 2 x)))) (/ 1 (- 2 x)))))> |
#<alt (* -1 (* y (+ (* -1 (/ x (* y (- 2 x)))) (/ 1 (- 2 x)))))> |
#<alt (* -1 (* y (+ (* -1 (/ x (* y (- 2 x)))) (/ 1 (- 2 x)))))> |
51 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | y | @ | inf | (/ 1 (- 2 (+ x y))) |
| 1.0ms | y | @ | -inf | (/ (- x y) (neg x)) |
| 0.0ms | y | @ | -inf | (/ 1 (- 2 (+ x y))) |
| 0.0ms | x | @ | inf | (/ (- x y) (neg x)) |
| 0.0ms | y | @ | 0 | (/ (- x y) (neg x)) |
| 1× | batch-egg-rewrite |
| 6 352× | lower-fma.f64 |
| 6 352× | lower-fma.f32 |
| 5 016× | lower-*.f32 |
| 5 014× | lower-*.f64 |
| 3 794× | lower-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 52 |
| 0 | 24 | 52 |
| 1 | 109 | 50 |
| 2 | 899 | 49 |
| 0 | 8737 | 49 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
(-.f64 #s(literal 2 binary64) (+.f64 x y)) |
(+.f64 x y) |
(/.f64 x (-.f64 #s(literal 2 binary64) x)) |
(-.f64 #s(literal 2 binary64) x) |
(/.f64 (-.f64 x y) (neg.f64 x)) |
(-.f64 x y) |
(neg.f64 x) |
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x)) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) x) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (neg.f64 y))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (neg.f64 y)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) x)) |
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (neg.f64 y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))) |
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (-.f64 #s(literal 2 binary64) (+.f64 x y))))) |
(+.f64 (/.f64 (neg.f64 y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))) |
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) #s(literal 4 binary64)) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y))))) |
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y)))) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) #s(literal 4 binary64))) |
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) (+.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 #s(literal 2 binary64) (+.f64 x y)))) |
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) #s(literal 2 binary64)) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (+.f64 x y))) |
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (+.f64 x y)) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) #s(literal 2 binary64))) |
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (+.f64 #s(literal 2 binary64) x)) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) y)) |
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (+.f64 #s(literal 2 binary64) y)) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) x)) |
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) x) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (neg.f64 y)) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)))))) (*.f64 (*.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))))) |
(+.f64 (*.f64 (*.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)))))) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))))) |
(+.f64 (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)))))) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 x y)) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))))) |
(+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))))) |
(+.f64 (*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))))) |
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(/.f64 (neg.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 #s(literal 2 binary64) x))) (-.f64 (neg.f64 x) y)) |
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(/.f64 (-.f64 (*.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (*.f64 (/.f64 y (+.f64 x #s(literal -2 binary64))) (/.f64 y (+.f64 x #s(literal -2 binary64))))) (-.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (/.f64 y (+.f64 x #s(literal -2 binary64))))) |
(pow.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 x y)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x))) |
(*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x))) |
(*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x y) (+.f64 x #s(literal -2 binary64)))) |
(*.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -2 binary64)))) |
(*.f64 (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 4 binary64)) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 2 binary64) x) (fma.f64 x (+.f64 x y) (*.f64 y y))))) |
(*.f64 (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (-.f64 #s(literal 2 binary64) x)))) |
(*.f64 (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (-.f64 x y)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x y) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) (-.f64 x y)) |
(*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x y)))) |
(*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 #s(literal 2 binary64) x)))) |
(*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))) |
(*.f64 (+.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 x x)))) |
(*.f64 (+.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 (/.f64 (+.f64 x #s(literal -2 binary64)) x) y)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) x) (-.f64 #s(literal 2 binary64) x)))) |
(*.f64 (fma.f64 x (-.f64 #s(literal 2 binary64) x) (*.f64 (+.f64 x #s(literal -2 binary64)) y)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)))) |
(*.f64 (fma.f64 x (+.f64 x #s(literal -2 binary64)) (*.f64 (-.f64 #s(literal 2 binary64) x) y)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 2 binary64) x)))) |
(*.f64 (-.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (/.f64 x (-.f64 #s(literal 2 binary64) x)) (*.f64 (/.f64 y (-.f64 #s(literal 2 binary64) x)) (+.f64 (/.f64 y (-.f64 #s(literal 2 binary64) x)) (/.f64 x (-.f64 #s(literal 2 binary64) x))))))) |
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) (+.f64 x y)) (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) (+.f64 x y)))) |
(*.f64 (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x y) (*.f64 y y)))) |
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 x y))) |
(*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))) |
(*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))))) |
(*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 x x))) (+.f64 #s(literal 2 binary64) x)) |
(*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) x)))) |
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (-.f64 y x)))))) |
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)))) (/.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 4 binary64)) (-.f64 x y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (*.f64 x x))) (/.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 (+.f64 #s(literal 2 binary64) x) (-.f64 x y))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (-.f64 x y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x y) (*.f64 y y)))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 (+.f64 x y) (-.f64 x y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x y))) |
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) (+.f64 x y))) |
(*.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (-.f64 x y)) (-.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x y) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (-.f64 x y)) (-.f64 #s(literal 4 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x y) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) x)))) |
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))))) |
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 #s(literal 4 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) x)))) |
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)))) (/.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))))) |
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 4 binary64) (*.f64 x x))) (/.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) x)))) |
(*.f64 (/.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (-.f64 #s(literal 2 binary64) x)) (/.f64 (-.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y)))) |
(*.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 2 binary64) x)) (/.f64 (-.f64 x y) (+.f64 x y))) |
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (-.f64 x y)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) (fma.f64 x (+.f64 x y) (*.f64 y y)))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 x y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 x y)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))))) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 x x)))) (+.f64 #s(literal 2 binary64) x)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 x y)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x y) (*.f64 y y)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (+.f64 x y))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))))) (fma.f64 x x (*.f64 y (-.f64 y x)))) |
| 1× | egg-herbie |
| 8 920× | lower-fma.f64 |
| 8 920× | lower-fma.f32 |
| 4 558× | lower-+.f64 |
| 4 558× | lower-+.f32 |
| 3 160× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 406 | 2057 |
| 1 | 1245 | 1928 |
| 2 | 3733 | 1818 |
| 0 | 8325 | 1739 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ y (- 2 y))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2))))) |
-1 |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) |
-1 |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
(/ x (- 2 x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
1 |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y)))) |
1 |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y))) |
(/ 1 (- 2 y)) |
(+ (/ 1 (- 2 y)) (/ x (pow (- 2 y) 2))) |
(+ (* x (+ (/ 1 (pow (- 2 y) 2)) (/ x (pow (- 2 y) 3)))) (/ 1 (- 2 y))) |
(+ (* x (+ (* x (+ (/ 1 (pow (- 2 y) 3)) (/ x (pow (- 2 y) 4)))) (/ 1 (pow (- 2 y) 2)))) (/ 1 (- 2 y))) |
(/ -1 x) |
(/ (- (/ y x) (+ 1 (* 2 (/ 1 x)))) x) |
(/ (- (+ (/ y x) (/ (* (- 2 y) (- y 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) x) |
(/ (- (+ (/ y x) (/ (* (pow (- 2 y) 2) (- y 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- y 2)) (pow x 2))) (* 2 (/ 1 x))))) x) |
(/ -1 x) |
(* -1 (/ (+ 1 (* -1 (/ (- y 2) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (+ y (/ (* (- 2 y) (- y 2)) x)) 2) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (+ y (* -1 (/ (- (* -1 (/ (* (pow (- 2 y) 2) (- y 2)) x)) (* (- 2 y) (- y 2))) x))) 2) x))) x)) |
(/ 1 (- 2 x)) |
(+ (/ 1 (- 2 x)) (/ y (pow (- 2 x) 2))) |
(+ (* y (+ (/ 1 (pow (- 2 x) 2)) (/ y (pow (- 2 x) 3)))) (/ 1 (- 2 x))) |
(+ (* y (+ (* y (+ (/ 1 (pow (- 2 x) 3)) (/ y (pow (- 2 x) 4)))) (/ 1 (pow (- 2 x) 2)))) (/ 1 (- 2 x))) |
(/ -1 y) |
(/ (- (/ x y) (+ 1 (* 2 (/ 1 y)))) y) |
(/ (- (+ (/ x y) (/ (* (- 2 x) (- x 2)) (pow y 2))) (+ 1 (* 2 (/ 1 y)))) y) |
(/ (- (+ (/ x y) (/ (* (pow (- 2 x) 2) (- x 2)) (pow y 3))) (+ 1 (+ (* -1 (/ (* (- 2 x) (- x 2)) (pow y 2))) (* 2 (/ 1 y))))) y) |
(/ -1 y) |
(* -1 (/ (+ 1 (* -1 (/ (- x 2) y))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (- (+ x (/ (* (- 2 x) (- x 2)) y)) 2) y))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- x 2)) y)) (* (- 2 x) (- x 2))) y))) 2) y))) y)) |
(- 2 y) |
(- (+ 2 (* -1 x)) y) |
(- (+ 2 (* -1 x)) y) |
(- (+ 2 (* -1 x)) y) |
(* -1 x) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(- 2 x) |
(- (+ 2 (* -1 y)) x) |
(- (+ 2 (* -1 y)) x) |
(- (+ 2 (* -1 y)) x) |
(* -1 y) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/4 x))) |
(* x (+ 1/2 (* x (+ 1/4 (* 1/8 x))))) |
(* x (+ 1/2 (* x (+ 1/4 (* x (+ 1/8 (* 1/16 x))))))) |
-1 |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1) |
(- (* -1 (/ (+ 4 (* 8 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
-1 |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1) |
(- (* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x)) 1) |
2 |
(+ 2 (* -1 x)) |
(+ 2 (* -1 x)) |
(+ 2 (* -1 x)) |
(* -1 x) |
(* x (- (* 2 (/ 1 x)) 1)) |
(* x (- (* 2 (/ 1 x)) 1)) |
(* x (- (* 2 (/ 1 x)) 1)) |
(* -1 x) |
(* -1 (* x (- 1 (* 2 (/ 1 x))))) |
(* -1 (* x (- 1 (* 2 (/ 1 x))))) |
(* -1 (* x (- 1 (* 2 (/ 1 x))))) |
(/ y x) |
(/ (+ y (* -1 x)) x) |
(/ (+ y (* -1 x)) x) |
(/ (+ y (* -1 x)) x) |
-1 |
(- (/ y x) 1) |
(- (/ y x) 1) |
(- (/ y x) 1) |
-1 |
(- (/ y x) 1) |
(- (/ y x) 1) |
(- (/ y x) 1) |
-1 |
(- (/ y x) 1) |
(- (/ y x) 1) |
(- (/ y x) 1) |
(/ y x) |
(* y (- (/ 1 x) (/ 1 y))) |
(* y (- (/ 1 x) (/ 1 y))) |
(* y (- (/ 1 x) (/ 1 y))) |
(/ y x) |
(* -1 (* y (- (/ 1 y) (/ 1 x)))) |
(* -1 (* y (- (/ 1 y) (/ 1 x)))) |
(* -1 (* y (- (/ 1 y) (/ 1 x)))) |
(* -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 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1/2 y) |
(+ (* -1/2 y) (* x (- 1/2 (* 1/4 y)))) |
(+ (* -1/2 y) (* x (- (+ 1/2 (* 1/2 (* x (- 1/2 (* 1/4 y))))) (* 1/4 y)))) |
(+ (* -1/2 y) (* x (- (+ 1/2 (* x (- (* 1/4 (* x (- 1/2 (* 1/4 y)))) (* -1/2 (- 1/2 (* 1/4 y)))))) (* 1/4 y)))) |
-1 |
(- (/ y x) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ (- y 2) (pow x 2))) (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 4 (/ (- y 2) (pow x 3))) (/ y x)) (+ 1 (+ (* -2 (/ (- y 2) (pow x 2))) (* 2 (/ 1 x))))) |
-1 |
(- (/ y x) (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ (* -2 (/ (- y 2) x)) (* -1 (- y 2))) x)) 1) |
(- (* -1 (/ (+ (* -1 (- y 2)) (* -1 (/ (+ (* 2 (- y 2)) (* 4 (/ (- y 2) x))) x))) x)) 1) |
(/ x (- 2 x)) |
(+ (* -1 (/ y (- 2 x))) (/ x (- 2 x))) |
(+ (* -1 (/ y (- 2 x))) (/ x (- 2 x))) |
(+ (* -1 (/ y (- 2 x))) (/ x (- 2 x))) |
(* -1 (/ y (- 2 x))) |
(* y (- (/ x (* y (- 2 x))) (/ 1 (- 2 x)))) |
(* y (- (/ x (* y (- 2 x))) (/ 1 (- 2 x)))) |
(* y (- (/ x (* y (- 2 x))) (/ 1 (- 2 x)))) |
(* -1 (/ y (- 2 x))) |
(* -1 (* y (+ (* -1 (/ x (* y (- 2 x)))) (/ 1 (- 2 x))))) |
(* -1 (* y (+ (* -1 (/ x (* y (- 2 x)))) (/ 1 (- 2 x))))) |
(* -1 (* y (+ (* -1 (/ x (* y (- 2 x)))) (/ 1 (- 2 x))))) |
| Outputs |
|---|
(* -1 (/ y (- 2 y))) |
(/.f64 y (+.f64 y #s(literal -2 binary64))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))))) |
(fma.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y)))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(fma.f64 x (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y)))) (/.f64 x (-.f64 #s(literal 2 binary64) y)) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y))))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (fma.f64 x (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y)))) (-.f64 #s(literal 2 binary64) y)) (+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64))) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y #s(literal -2 binary64)))))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) |
-1 |
#s(literal -1 binary64) |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64)) |
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(-.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) (fma.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (fma.f64 y #s(literal -2 binary64) #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1 binary64))) |
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) |
(fma.f64 (-.f64 #s(literal 2 binary64) y) (*.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (*.f64 x (*.f64 x x)))) (-.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) (fma.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (fma.f64 y #s(literal -2 binary64) #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1 binary64)))) |
-1 |
#s(literal -1 binary64) |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64)) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) x))) x)) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (/.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (fma.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (-.f64 #s(literal 2 binary64) y) x) (-.f64 #s(literal 2 binary64) y))) x)) x)) |
(/ x (- 2 x)) |
(/.f64 x (-.f64 #s(literal 2 binary64) x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+.f64 (/.f64 y (+.f64 x #s(literal -2 binary64))) (fma.f64 y (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 y (fma.f64 y (-.f64 (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)))) (+.f64 (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) x)))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 y (+.f64 (fma.f64 y (+.f64 (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -2 binary64))))) (fma.f64 y (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))) (-.f64 (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)))))) (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) x))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) y)) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y))) |
(+.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) (*.f64 y y)) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y)))) |
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) (*.f64 y y)) (-.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 #s(literal 2 binary64) x) y)) (+.f64 x #s(literal -2 binary64))) (/.f64 (-.f64 #s(literal 2 binary64) x) y))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) y)) |
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) y) (-.f64 #s(literal 2 binary64) (+.f64 x x))) y)) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (+.f64 x x) #s(literal -2 binary64)) (/.f64 (*.f64 (+.f64 (+.f64 x x) #s(literal -2 binary64)) (fma.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 #s(literal 2 binary64) x) y) (-.f64 #s(literal 2 binary64) x))) y)) y)) |
(/ 1 (- 2 y)) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) |
(+ (/ 1 (- 2 y)) (/ x (pow (- 2 y) 2))) |
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y)))) |
(+ (* x (+ (/ 1 (pow (- 2 y) 2)) (/ x (pow (- 2 y) 3)))) (/ 1 (- 2 y))) |
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (fma.f64 x (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) y) (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y)))) (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y))))) |
(+ (* x (+ (* x (+ (/ 1 (pow (- 2 y) 3)) (/ x (pow (- 2 y) 4)))) (/ 1 (pow (- 2 y) 2)))) (/ 1 (- 2 y))) |
(fma.f64 x (fma.f64 x (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 4 binary64))) (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) y) (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y))))) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y))))) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ (- (/ y x) (+ 1 (* 2 (/ 1 x)))) x) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) x)) x) |
(/ (- (+ (/ y x) (/ (* (- 2 y) (- y 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) x) |
(/.f64 (-.f64 (/.f64 (+.f64 y #s(literal -2 binary64)) x) (fma.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (-.f64 #s(literal 2 binary64) y) (*.f64 x x)) #s(literal 1 binary64))) x) |
(/ (- (+ (/ y x) (/ (* (pow (- 2 y) 2) (- y 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- y 2)) (pow x 2))) (* 2 (/ 1 x))))) x) |
(/.f64 (-.f64 (fma.f64 (-.f64 #s(literal 2 binary64) y) (*.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (+.f64 y #s(literal -2 binary64)) (*.f64 x (*.f64 x x)))) (fma.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (+.f64 y #s(literal -2 binary64)) (*.f64 x x)) #s(literal -1 binary64))) (/.f64 (-.f64 #s(literal 2 binary64) y) x)) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(* -1 (/ (+ 1 (* -1 (/ (- y 2) x))) x)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) x)) x) |
(* -1 (/ (+ 1 (* -1 (/ (- (+ y (/ (* (- 2 y) (- y 2)) x)) 2) x))) x)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (-.f64 #s(literal 2 binary64) y) x) (-.f64 #s(literal 2 binary64) y)) x)) (neg.f64 x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (+ y (* -1 (/ (- (* -1 (/ (* (pow (- 2 y) 2) (- y 2)) x)) (* (- 2 y) (- y 2))) x))) 2) x))) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 y #s(literal -2 binary64)) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y (fma.f64 (+.f64 y #s(literal -2 binary64)) (/.f64 (-.f64 #s(literal 2 binary64) y) x) #s(literal -2 binary64)))) x)) x)) (neg.f64 x)) |
(/ 1 (- 2 x)) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) |
(+ (/ 1 (- 2 x)) (/ y (pow (- 2 x) 2))) |
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)))) |
(+ (* y (+ (/ 1 (pow (- 2 x) 2)) (/ y (pow (- 2 x) 3)))) (/ 1 (- 2 x))) |
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) (fma.f64 y (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)))) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))))) |
(+ (* y (+ (* y (+ (/ 1 (pow (- 2 x) 3)) (/ y (pow (- 2 x) 4)))) (/ 1 (pow (- 2 x) 2)))) (/ 1 (- 2 x))) |
(+.f64 (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))) (fma.f64 y (fma.f64 y (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(/ (- (/ x y) (+ 1 (* 2 (/ 1 y)))) y) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -2 binary64)) y)) y) |
(/ (- (+ (/ x y) (/ (* (- 2 x) (- x 2)) (pow y 2))) (+ 1 (* 2 (/ 1 y)))) y) |
(/.f64 (fma.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (+.f64 x #s(literal -2 binary64)) (*.f64 y y)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -2 binary64)) y))) y) |
(/ (- (+ (/ x y) (/ (* (pow (- 2 x) 2) (- x 2)) (pow y 3))) (+ 1 (+ (* -1 (/ (* (- 2 x) (- x 2)) (pow y 2))) (* 2 (/ 1 y))))) y) |
(/.f64 (-.f64 (fma.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)) (/.f64 (+.f64 x #s(literal -2 binary64)) (*.f64 y (*.f64 y y))) (fma.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (+.f64 x #s(literal -2 binary64)) (*.f64 y y)) #s(literal -1 binary64))) (/.f64 (-.f64 #s(literal 2 binary64) x) y)) y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(* -1 (/ (+ 1 (* -1 (/ (- x 2) y))) y)) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -2 binary64)) y)) y) |
(* -1 (/ (+ 1 (* -1 (/ (- (+ x (/ (* (- 2 x) (- x 2)) y)) 2) y))) y)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 #s(literal 2 binary64) x) y) (-.f64 #s(literal 2 binary64) x)) y)) (neg.f64 y)) |
(* -1 (/ (+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- x 2)) y)) (* (- 2 x) (- x 2))) y))) 2) y))) y)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 x #s(literal -2 binary64)) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x (fma.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (+.f64 x #s(literal -2 binary64)) y) #s(literal -2 binary64)))) y)) y)) (neg.f64 y)) |
(- 2 y) |
(-.f64 #s(literal 2 binary64) y) |
(- (+ 2 (* -1 x)) y) |
(-.f64 #s(literal 2 binary64) (+.f64 y x)) |
(- (+ 2 (* -1 x)) y) |
(-.f64 #s(literal 2 binary64) (+.f64 y x)) |
(- (+ 2 (* -1 x)) y) |
(-.f64 #s(literal 2 binary64) (+.f64 y x)) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(fma.f64 x (/.f64 (-.f64 #s(literal 2 binary64) y) x) (neg.f64 x)) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(fma.f64 x (/.f64 (-.f64 #s(literal 2 binary64) y) x) (neg.f64 x)) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(fma.f64 x (/.f64 (-.f64 #s(literal 2 binary64) y) x) (neg.f64 x)) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(fma.f64 x (/.f64 (-.f64 #s(literal 2 binary64) y) x) (neg.f64 x)) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(fma.f64 x (/.f64 (-.f64 #s(literal 2 binary64) y) x) (neg.f64 x)) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(fma.f64 x (/.f64 (-.f64 #s(literal 2 binary64) y) x) (neg.f64 x)) |
(- 2 x) |
(-.f64 #s(literal 2 binary64) x) |
(- (+ 2 (* -1 y)) x) |
(-.f64 #s(literal 2 binary64) (+.f64 y x)) |
(- (+ 2 (* -1 y)) x) |
(-.f64 #s(literal 2 binary64) (+.f64 y x)) |
(- (+ 2 (* -1 y)) x) |
(-.f64 #s(literal 2 binary64) (+.f64 y x)) |
(* -1 y) |
(neg.f64 y) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(fma.f64 y (/.f64 (-.f64 #s(literal 2 binary64) x) y) (neg.f64 y)) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(fma.f64 y (/.f64 (-.f64 #s(literal 2 binary64) x) y) (neg.f64 y)) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(fma.f64 y (/.f64 (-.f64 #s(literal 2 binary64) x) y) (neg.f64 y)) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(fma.f64 y (/.f64 (-.f64 #s(literal 2 binary64) x) y) (neg.f64 y)) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(fma.f64 y (/.f64 (-.f64 #s(literal 2 binary64) x) y) (neg.f64 y)) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(fma.f64 y (/.f64 (-.f64 #s(literal 2 binary64) x) y) (neg.f64 y)) |
y |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
x |
(* x (+ 1 (/ y x))) |
(fma.f64 x (/.f64 y x) x) |
(* x (+ 1 (/ y x))) |
(fma.f64 x (/.f64 y x) x) |
(* x (+ 1 (/ y x))) |
(fma.f64 x (/.f64 y x) x) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 x (/.f64 y x) x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 x (/.f64 y x) x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 x (/.f64 y x) x) |
x |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
y |
(* y (+ 1 (/ x y))) |
(fma.f64 y (/.f64 x y) y) |
(* y (+ 1 (/ x y))) |
(fma.f64 y (/.f64 x y) y) |
(* y (+ 1 (/ x y))) |
(fma.f64 y (/.f64 x y) y) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(fma.f64 y (/.f64 x y) y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(fma.f64 y (/.f64 x y) y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(fma.f64 y (/.f64 x y) y) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* x (+ 1/2 (* 1/4 x))) |
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))) |
(* x (+ 1/2 (* x (+ 1/4 (* 1/8 x))))) |
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) |
(* x (+ 1/2 (* x (+ 1/4 (* x (+ 1/8 (* 1/16 x))))))) |
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal 1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) |
-1 |
#s(literal -1 binary64) |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) |
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) x)) x)) |
(- (* -1 (/ (+ 4 (* 8 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(-.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) x)) (*.f64 x x))) |
-1 |
#s(literal -1 binary64) |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) |
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) x)) x)) |
(- (* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) (*.f64 x x)))) x)) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -1 x)) |
(-.f64 #s(literal 2 binary64) x) |
(+ 2 (* -1 x)) |
(-.f64 #s(literal 2 binary64) x) |
(+ 2 (* -1 x)) |
(-.f64 #s(literal 2 binary64) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* 2 (/ 1 x)) 1)) |
(-.f64 (*.f64 x (/.f64 #s(literal 2 binary64) x)) x) |
(* x (- (* 2 (/ 1 x)) 1)) |
(-.f64 (*.f64 x (/.f64 #s(literal 2 binary64) x)) x) |
(* x (- (* 2 (/ 1 x)) 1)) |
(-.f64 (*.f64 x (/.f64 #s(literal 2 binary64) x)) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (- 1 (* 2 (/ 1 x))))) |
(-.f64 (neg.f64 x) (*.f64 x (/.f64 #s(literal -2 binary64) x))) |
(* -1 (* x (- 1 (* 2 (/ 1 x))))) |
(-.f64 (neg.f64 x) (*.f64 x (/.f64 #s(literal -2 binary64) x))) |
(* -1 (* x (- 1 (* 2 (/ 1 x))))) |
(-.f64 (neg.f64 x) (*.f64 x (/.f64 #s(literal -2 binary64) x))) |
(/ y x) |
(/.f64 y x) |
(/ (+ y (* -1 x)) x) |
(/.f64 (-.f64 y x) x) |
(/ (+ y (* -1 x)) x) |
(/.f64 (-.f64 y x) x) |
(/ (+ y (* -1 x)) x) |
(/.f64 (-.f64 y x) x) |
-1 |
#s(literal -1 binary64) |
(- (/ y x) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 y x)) |
(- (/ y x) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 y x)) |
(- (/ y x) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 y x)) |
-1 |
#s(literal -1 binary64) |
(- (/ y x) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 y x)) |
(- (/ y x) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 y x)) |
(- (/ y x) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 y x)) |
-1 |
#s(literal -1 binary64) |
(- (/ y x) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 y x)) |
(- (/ y x) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 y x)) |
(- (/ y x) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 y x)) |
(/ y x) |
(/.f64 y x) |
(* y (- (/ 1 x) (/ 1 y))) |
(-.f64 #s(literal -1 binary64) (/.f64 y (neg.f64 x))) |
(* y (- (/ 1 x) (/ 1 y))) |
(-.f64 #s(literal -1 binary64) (/.f64 y (neg.f64 x))) |
(* y (- (/ 1 x) (/ 1 y))) |
(-.f64 #s(literal -1 binary64) (/.f64 y (neg.f64 x))) |
(/ y x) |
(/.f64 y x) |
(* -1 (* y (- (/ 1 y) (/ 1 x)))) |
(-.f64 #s(literal -1 binary64) (/.f64 y (neg.f64 x))) |
(* -1 (* y (- (/ 1 y) (/ 1 x)))) |
(-.f64 #s(literal -1 binary64) (/.f64 y (neg.f64 x))) |
(* -1 (* y (- (/ 1 y) (/ 1 x)))) |
(-.f64 #s(literal -1 binary64) (/.f64 y (neg.f64 x))) |
(* -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 (*.f64 x (/.f64 y x))) |
(* x (+ 1 (* -1 (/ y x)))) |
(-.f64 x (*.f64 x (/.f64 y x))) |
(* x (+ 1 (* -1 (/ y x)))) |
(-.f64 x (*.f64 x (/.f64 y x))) |
x |
(* -1 (* x (- (/ y x) 1))) |
(-.f64 x (*.f64 x (/.f64 y x))) |
(* -1 (* x (- (/ y x) 1))) |
(-.f64 x (*.f64 x (/.f64 y x))) |
(* -1 (* x (- (/ y x) 1))) |
(-.f64 x (*.f64 x (/.f64 y x))) |
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 (*.f64 y (/.f64 x y)) y) |
(* y (- (/ x y) 1)) |
(-.f64 (*.f64 y (/.f64 x y)) y) |
(* y (- (/ x y) 1)) |
(-.f64 (*.f64 y (/.f64 x y)) y) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 (*.f64 y (/.f64 x y)) y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 (*.f64 y (/.f64 x y)) y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 (*.f64 y (/.f64 x y)) y) |
(* -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) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(+ (* -1/2 y) (* x (- 1/2 (* 1/4 y)))) |
(fma.f64 x (fma.f64 y #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (*.f64 y #s(literal -1/2 binary64))) |
(+ (* -1/2 y) (* x (- (+ 1/2 (* 1/2 (* x (- 1/2 (* 1/4 y))))) (* 1/4 y)))) |
(fma.f64 x (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 y #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (*.f64 y #s(literal -1/2 binary64))) |
(+ (* -1/2 y) (* x (- (+ 1/2 (* x (- (* 1/4 (* x (- 1/2 (* 1/4 y)))) (* -1/2 (- 1/2 (* 1/4 y)))))) (* 1/4 y)))) |
(fma.f64 x (fma.f64 x (*.f64 (fma.f64 y #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))) (fma.f64 y #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (*.f64 y #s(literal -1/2 binary64))) |
-1 |
#s(literal -1 binary64) |
(- (/ y x) (+ 1 (* 2 (/ 1 x)))) |
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) x)) |
(- (+ (* 2 (/ (- y 2) (pow x 2))) (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(+.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) x)) (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -4 binary64)) (*.f64 x x))) |
(- (+ (* 4 (/ (- y 2) (pow x 3))) (/ y x)) (+ 1 (+ (* -2 (/ (- y 2) (pow x 2))) (* 2 (/ 1 x))))) |
(+.f64 (/.f64 (fma.f64 y #s(literal 4 binary64) #s(literal -8 binary64)) (*.f64 x (*.f64 x x))) (-.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) x)) (/.f64 (fma.f64 y #s(literal -2 binary64) #s(literal 4 binary64)) (*.f64 x x)))) |
-1 |
#s(literal -1 binary64) |
(- (/ y x) (+ 1 (* 2 (/ 1 x)))) |
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) x)) |
(- (* -1 (/ (+ (* -2 (/ (- y 2) x)) (* -1 (- y 2))) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (fma.f64 y #s(literal -2 binary64) #s(literal 4 binary64)) x)) x)) |
(- (* -1 (/ (+ (* -1 (- y 2)) (* -1 (/ (+ (* 2 (- y 2)) (* 4 (/ (- y 2) x))) x))) x)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 y #s(literal -2 binary64)) (/.f64 (+.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -4 binary64)) (/.f64 (fma.f64 y #s(literal 4 binary64) #s(literal -8 binary64)) x)) x)) x)) |
(/ x (- 2 x)) |
(/.f64 x (-.f64 #s(literal 2 binary64) x)) |
(+ (* -1 (/ y (- 2 x))) (/ x (- 2 x))) |
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (/.f64 y (+.f64 x #s(literal -2 binary64)))) |
(+ (* -1 (/ y (- 2 x))) (/ x (- 2 x))) |
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (/.f64 y (+.f64 x #s(literal -2 binary64)))) |
(+ (* -1 (/ y (- 2 x))) (/ x (- 2 x))) |
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (/.f64 y (+.f64 x #s(literal -2 binary64)))) |
(* -1 (/ y (- 2 x))) |
(/.f64 y (+.f64 x #s(literal -2 binary64))) |
(* y (- (/ x (* y (- 2 x))) (/ 1 (- 2 x)))) |
(fma.f64 y (/.f64 x (*.f64 y (-.f64 #s(literal 2 binary64) x))) (/.f64 y (+.f64 x #s(literal -2 binary64)))) |
(* y (- (/ x (* y (- 2 x))) (/ 1 (- 2 x)))) |
(fma.f64 y (/.f64 x (*.f64 y (-.f64 #s(literal 2 binary64) x))) (/.f64 y (+.f64 x #s(literal -2 binary64)))) |
(* y (- (/ x (* y (- 2 x))) (/ 1 (- 2 x)))) |
(fma.f64 y (/.f64 x (*.f64 y (-.f64 #s(literal 2 binary64) x))) (/.f64 y (+.f64 x #s(literal -2 binary64)))) |
(* -1 (/ y (- 2 x))) |
(/.f64 y (+.f64 x #s(literal -2 binary64))) |
(* -1 (* y (+ (* -1 (/ x (* y (- 2 x)))) (/ 1 (- 2 x))))) |
(fma.f64 y (/.f64 x (*.f64 y (-.f64 #s(literal 2 binary64) x))) (/.f64 y (+.f64 x #s(literal -2 binary64)))) |
(* -1 (* y (+ (* -1 (/ x (* y (- 2 x)))) (/ 1 (- 2 x))))) |
(fma.f64 y (/.f64 x (*.f64 y (-.f64 #s(literal 2 binary64) x))) (/.f64 y (+.f64 x #s(literal -2 binary64)))) |
(* -1 (* y (+ (* -1 (/ x (* y (- 2 x)))) (/ 1 (- 2 x))))) |
(fma.f64 y (/.f64 x (*.f64 y (-.f64 #s(literal 2 binary64) x))) (/.f64 y (+.f64 x #s(literal -2 binary64)))) |
Compiled 30 668 to 3 013 computations (90.2% saved)
18 alts after pruning (13 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 397 | 7 | 1 404 |
| Fresh | 1 | 6 | 7 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 399 | 18 | 1 417 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 91.5% | (/.f64 (fma.f64 y (/.f64 x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| 62.2% | (/.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (+.f64 x y)) | |
| 38.9% | (/.f64 (-.f64 y x) x) | |
| ✓ | 100.0% | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| ✓ | 66.6% | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x)) |
| 34.5% | (/.f64 (-.f64 x y) (neg.f64 y)) | |
| ▶ | 29.2% | (/.f64 (-.f64 x y) #s(literal 2 binary64)) |
| 47.3% | (/.f64 y (+.f64 y #s(literal -2 binary64))) | |
| ✓ | 53.4% | (/.f64 x (-.f64 #s(literal 2 binary64) x)) |
| 38.9% | (+.f64 (/.f64 y x) #s(literal -1 binary64)) | |
| ▶ | 34.8% | (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) y)) |
| 36.1% | (*.f64 (/.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x x))) (+.f64 #s(literal 2 binary64) x)) | |
| ✓ | 99.8% | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) |
| 15.3% | (*.f64 y #s(literal -1/2 binary64)) | |
| ▶ | 16.0% | (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))) |
| 16.5% | (*.f64 x #s(literal 1/2 binary64)) | |
| ▶ | 34.2% | #s(literal 1 binary64) |
| ✓ | 38.8% | #s(literal -1 binary64) |
Compiled 273 to 182 computations (33.3% saved)
| 1× | egg-herbie |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 x x) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 2 binary64) (+.f64 x x)) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) y) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) y)) |
| ✓ | cost-diff | 0 | (-.f64 x y) |
| ✓ | cost-diff | 384 | (/.f64 (-.f64 x y) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 0 | (neg.f64 y) |
| ✓ | cost-diff | 0 | (/.f64 x y) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 y (/.f64 x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| ✓ | cost-diff | 1024 | (fma.f64 y (/.f64 x y) (neg.f64 y)) |
| 7 328× | lower-fma.f32 |
| 7 324× | lower-fma.f64 |
| 3 166× | lower-*.f32 |
| 3 164× | lower-*.f64 |
| 1 570× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 89 |
| 0 | 36 | 93 |
| 1 | 72 | 93 |
| 2 | 129 | 93 |
| 3 | 243 | 81 |
| 4 | 556 | 81 |
| 5 | 1110 | 81 |
| 6 | 3602 | 81 |
| 7 | 5734 | 81 |
| 8 | 7430 | 81 |
| 0 | 8077 | 78 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (fma.f64 y (/.f64 x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
(fma.f64 y (/.f64 x y) (neg.f64 y)) |
y |
(/.f64 x y) |
x |
(neg.f64 y) |
(-.f64 #s(literal 2 binary64) (+.f64 x y)) |
#s(literal 2 binary64) |
(+.f64 x y) |
#s(literal 1 binary64) |
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))) |
x |
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/4 binary64) |
#s(literal 1/2 binary64) |
(/.f64 (-.f64 x y) #s(literal 2 binary64)) |
(-.f64 x y) |
x |
y |
#s(literal 2 binary64) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) y)) |
#s(literal 1 binary64) |
(/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) y) |
(-.f64 #s(literal 2 binary64) (+.f64 x x)) |
#s(literal 2 binary64) |
(+.f64 x x) |
x |
y |
| Outputs |
|---|
(/.f64 (fma.f64 y (/.f64 x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
(/.f64 (-.f64 x y) (-.f64 (-.f64 #s(literal 2 binary64) x) y)) |
(fma.f64 y (/.f64 x y) (neg.f64 y)) |
(-.f64 x y) |
y |
(/.f64 x y) |
x |
(neg.f64 y) |
(-.f64 #s(literal 2 binary64) (+.f64 x y)) |
(-.f64 (-.f64 #s(literal 2 binary64) x) y) |
#s(literal 2 binary64) |
(+.f64 x y) |
(+.f64 y x) |
#s(literal 1 binary64) |
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))) |
x |
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/4 binary64) |
#s(literal 1/2 binary64) |
(/.f64 (-.f64 x y) #s(literal 2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (-.f64 x y)) |
(-.f64 x y) |
x |
y |
#s(literal 2 binary64) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) y)) |
(fma.f64 (/.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) y) |
(-.f64 #s(literal 2 binary64) (+.f64 x x)) |
#s(literal 2 binary64) |
(+.f64 x x) |
x |
y |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 2 binary64) (+.f64 x x)) |
| ✓ | accuracy | 100.0% | (+.f64 x x) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) y)) |
| ✓ | accuracy | 100.0% | (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) y) |
| ✓ | accuracy | 100.0% | (/.f64 (-.f64 x y) #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (-.f64 x y) |
| ✓ | accuracy | 100.0% | (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))) |
| ✓ | accuracy | 100.0% | (+.f64 x y) |
| ✓ | accuracy | 100.0% | (neg.f64 y) |
| ✓ | accuracy | 100.0% | (/.f64 (fma.f64 y (/.f64 x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| ✓ | accuracy | 91.8% | (fma.f64 y (/.f64 x y) (neg.f64 y)) |
| 46.0ms | 256× | 0 | valid |
Compiled 95 to 24 computations (74.7% saved)
ival-div: 12.0ms (44% of total)ival-add: 6.0ms (22% of total)ival-mult: 5.0ms (18.4% of total)ival-sub: 3.0ms (11% of total)ival-neg: 1.0ms (3.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (fma.f64 y (/.f64 x y) (neg.f64 y))> |
#<alt (/.f64 (fma.f64 y (/.f64 x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y)))> |
#<alt (/.f64 x y)> |
#<alt (neg.f64 y)> |
#<alt (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))> |
#<alt (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))> |
#<alt (/.f64 (-.f64 x y) #s(literal 2 binary64))> |
#<alt (-.f64 x y)> |
#<alt (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) y))> |
#<alt (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) y)> |
#<alt (-.f64 #s(literal 2 binary64) (+.f64 x x))> |
#<alt (+.f64 x x)> |
#<alt (+.f64 x y)> |
| Outputs |
|---|
#<alt x> |
#<alt (+ x (* -1 y))> |
#<alt (+ x (* -1 y))> |
#<alt (+ x (* -1 y))> |
#<alt (* -1 y)> |
#<alt (* y (- (/ x y) 1))> |
#<alt (* y (- (/ x y) 1))> |
#<alt (* y (- (/ x y) 1))> |
#<alt (* -1 y)> |
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))> |
#<alt (* -1 y)> |
#<alt (- x y)> |
#<alt (- x y)> |
#<alt (- x y)> |
#<alt x> |
#<alt (* x (+ 1 (* -1 (/ y x))))> |
#<alt (* x (+ 1 (* -1 (/ y x))))> |
#<alt (* x (+ 1 (* -1 (/ y x))))> |
#<alt x> |
#<alt (* -1 (* x (- (/ y x) 1)))> |
#<alt (* -1 (* x (- (/ y x) 1)))> |
#<alt (* -1 (* x (- (/ y x) 1)))> |
#<alt (/ x (- 2 x))> |
#<alt (+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))> |
#<alt (+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))> |
#<alt (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))> |
#<alt 1> |
#<alt (- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))> |
#<alt (- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))> |
#<alt (- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))> |
#<alt 1> |
#<alt (+ 1 (* -1 (/ (- (* 2 x) 2) y)))> |
#<alt (+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))> |
#<alt (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))> |
#<alt (* -1 (/ y (- 2 y)))> |
#<alt (+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))> |
#<alt (+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))> |
#<alt (+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))> |
#<alt -1> |
#<alt (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))> |
#<alt (- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))> |
#<alt (- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))> |
#<alt -1> |
#<alt (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))> |
#<alt (- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)> |
#<alt (- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* 1/4 x)))> |
#<alt (* x (+ 1/2 (* 1/4 x)))> |
#<alt (* x (+ 1/2 (* 1/4 x)))> |
#<alt (* 1/4 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x))))> |
#<alt (* 1/4 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x))))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/4 x))> |
#<alt (+ 1/2 (* 1/4 x))> |
#<alt (+ 1/2 (* 1/4 x))> |
#<alt (* 1/4 x)> |
#<alt (* x (+ 1/4 (* 1/2 (/ 1 x))))> |
#<alt (* x (+ 1/4 (* 1/2 (/ 1 x))))> |
#<alt (* x (+ 1/4 (* 1/2 (/ 1 x))))> |
#<alt (* 1/4 x)> |
#<alt (* x (+ 1/4 (* 1/2 (/ 1 x))))> |
#<alt (* x (+ 1/4 (* 1/2 (/ 1 x))))> |
#<alt (* x (+ 1/4 (* 1/2 (/ 1 x))))> |
#<alt (* -1/2 y)> |
#<alt (+ (* -1/2 y) (* 1/2 x))> |
#<alt (+ (* -1/2 y) (* 1/2 x))> |
#<alt (+ (* -1/2 y) (* 1/2 x))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* -1/2 (/ y x))))> |
#<alt (* x (+ 1/2 (* -1/2 (/ y x))))> |
#<alt (* x (+ 1/2 (* -1/2 (/ y x))))> |
#<alt (* 1/2 x)> |
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))> |
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))> |
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))> |
#<alt (* 1/2 x)> |
#<alt (+ (* -1/2 y) (* 1/2 x))> |
#<alt (+ (* -1/2 y) (* 1/2 x))> |
#<alt (+ (* -1/2 y) (* 1/2 x))> |
#<alt (* -1/2 y)> |
#<alt (* y (- (* 1/2 (/ x y)) 1/2))> |
#<alt (* y (- (* 1/2 (/ x y)) 1/2))> |
#<alt (* y (- (* 1/2 (/ x y)) 1/2))> |
#<alt (* -1/2 y)> |
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))> |
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))> |
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))> |
#<alt (* -1 y)> |
#<alt (- x y)> |
#<alt (- x y)> |
#<alt (- x y)> |
#<alt x> |
#<alt (* x (+ 1 (* -1 (/ y x))))> |
#<alt (* x (+ 1 (* -1 (/ y x))))> |
#<alt (* x (+ 1 (* -1 (/ y x))))> |
#<alt x> |
#<alt (* -1 (* x (- (/ y x) 1)))> |
#<alt (* -1 (* x (- (/ y x) 1)))> |
#<alt (* -1 (* x (- (/ y x) 1)))> |
#<alt x> |
#<alt (+ x (* -1 y))> |
#<alt (+ x (* -1 y))> |
#<alt (+ x (* -1 y))> |
#<alt (* -1 y)> |
#<alt (* y (- (/ x y) 1))> |
#<alt (* y (- (/ x y) 1))> |
#<alt (* y (- (/ x y) 1))> |
#<alt (* -1 y)> |
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))> |
#<alt (+ 1 (* 2 (/ 1 y)))> |
#<alt (+ 1 (+ (* -2 (/ x y)) (* 2 (/ 1 y))))> |
#<alt (+ 1 (+ (* -2 (/ x y)) (* 2 (/ 1 y))))> |
#<alt (+ 1 (+ (* -2 (/ x y)) (* 2 (/ 1 y))))> |
#<alt (* -2 (/ x y))> |
#<alt (* x (- (+ (/ 1 x) (/ 2 (* x y))) (* 2 (/ 1 y))))> |
#<alt (* x (- (+ (/ 1 x) (/ 2 (* x y))) (* 2 (/ 1 y))))> |
#<alt (* x (- (+ (/ 1 x) (/ 2 (* x y))) (* 2 (/ 1 y))))> |
#<alt (* -2 (/ x y))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ 1 (* 2 (/ 1 y))) x)) (* 2 (/ 1 y)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ 1 (* 2 (/ 1 y))) x)) (* 2 (/ 1 y)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ 1 (* 2 (/ 1 y))) x)) (* 2 (/ 1 y)))))> |
#<alt (/ (- 2 (* 2 x)) y)> |
#<alt (/ (- (+ 2 y) (* 2 x)) y)> |
#<alt (/ (- (+ 2 y) (* 2 x)) y)> |
#<alt (/ (- (+ 2 y) (* 2 x)) y)> |
#<alt 1> |
#<alt (- (+ 1 (* 2 (/ 1 y))) (* 2 (/ x y)))> |
#<alt (- (+ 1 (* 2 (/ 1 y))) (* 2 (/ x y)))> |
#<alt (- (+ 1 (* 2 (/ 1 y))) (* 2 (/ x y)))> |
#<alt 1> |
#<alt (- (+ 1 (* 2 (/ 1 y))) (* 2 (/ x y)))> |
#<alt (- (+ 1 (* 2 (/ 1 y))) (* 2 (/ x y)))> |
#<alt (- (+ 1 (* 2 (/ 1 y))) (* 2 (/ x y)))> |
#<alt (/ 2 y)> |
#<alt (+ (* -2 (/ x y)) (* 2 (/ 1 y)))> |
#<alt (+ (* -2 (/ x y)) (* 2 (/ 1 y)))> |
#<alt (+ (* -2 (/ x y)) (* 2 (/ 1 y)))> |
#<alt (* -2 (/ x y))> |
#<alt (* x (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 y))))> |
#<alt (* x (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 y))))> |
#<alt (* x (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 y))))> |
#<alt (* -2 (/ x y))> |
#<alt (* -1 (* x (- (* 2 (/ 1 y)) (* 2 (/ 1 (* x y))))))> |
#<alt (* -1 (* x (- (* 2 (/ 1 y)) (* 2 (/ 1 (* x y))))))> |
#<alt (* -1 (* x (- (* 2 (/ 1 y)) (* 2 (/ 1 (* x y))))))> |
#<alt (/ (- 2 (* 2 x)) y)> |
#<alt (/ (- 2 (* 2 x)) y)> |
#<alt (/ (- 2 (* 2 x)) y)> |
#<alt (/ (- 2 (* 2 x)) y)> |
#<alt (/ (- 2 (* 2 x)) y)> |
#<alt (/ (- 2 (* 2 x)) y)> |
#<alt (/ (- 2 (* 2 x)) y)> |
#<alt (/ (- 2 (* 2 x)) y)> |
#<alt (/ (- 2 (* 2 x)) y)> |
#<alt (/ (- 2 (* 2 x)) y)> |
#<alt (/ (- 2 (* 2 x)) y)> |
#<alt (/ (- 2 (* 2 x)) y)> |
#<alt 2> |
#<alt (+ 2 (* -2 x))> |
#<alt (+ 2 (* -2 x))> |
#<alt (+ 2 (* -2 x))> |
#<alt (* -2 x)> |
#<alt (* x (- (* 2 (/ 1 x)) 2))> |
#<alt (* x (- (* 2 (/ 1 x)) 2))> |
#<alt (* x (- (* 2 (/ 1 x)) 2))> |
#<alt (* -2 x)> |
#<alt (* -1 (* x (- 2 (* 2 (/ 1 x)))))> |
#<alt (* -1 (* x (- 2 (* 2 (/ 1 x)))))> |
#<alt (* -1 (* x (- 2 (* 2 (/ 1 x)))))> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt y> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt x> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt x> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt y> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt y> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
63 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | y | @ | 0 | (+ 1 (/ (- 2 (+ x x)) y)) |
| 1.0ms | y | @ | 0 | (/ (- 2 (+ x x)) y) |
| 1.0ms | x | @ | inf | (/ x y) |
| 0.0ms | x | @ | 0 | (+ 1 (/ (- 2 (+ x x)) y)) |
| 0.0ms | x | @ | -inf | (* x (+ (* x 1/4) 1/2)) |
| 1× | batch-egg-rewrite |
| 884× | lower-fma.f32 |
| 880× | lower-fma.f64 |
| 786× | lower-/.f32 |
| 778× | lower-/.f64 |
| 702× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 70 |
| 0 | 36 | 70 |
| 1 | 182 | 70 |
| 0 | 1572 | 67 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 y (/.f64 x y) (neg.f64 y)) |
(/.f64 (fma.f64 y (/.f64 x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
(/.f64 x y) |
(neg.f64 y) |
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))) |
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 x y) #s(literal 2 binary64)) |
(-.f64 x y) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) y)) |
(/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) y) |
(-.f64 #s(literal 2 binary64) (+.f64 x x)) |
(+.f64 x x) |
(+.f64 x y) |
| Outputs |
|---|
(+.f64 (neg.f64 y) (/.f64 (*.f64 y x) y)) |
(+.f64 (/.f64 (*.f64 y x) y) (neg.f64 y)) |
(-.f64 (/.f64 (*.f64 y x) y) y) |
(-.f64 #s(literal 0 binary64) (-.f64 y (/.f64 (*.f64 y x) y))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 y y)) (*.f64 y (-.f64 (/.f64 x y) #s(literal -1 binary64)))) (/.f64 (*.f64 y y) (*.f64 y (-.f64 (/.f64 x y) #s(literal -1 binary64))))) |
(-.f64 (fma.f64 y (/.f64 x y) #s(literal 0 binary64)) y) |
(fma.f64 y (/.f64 x y) (neg.f64 y)) |
(fma.f64 y #s(literal -1 binary64) (/.f64 (*.f64 y x) y)) |
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) y) (neg.f64 y)) |
(fma.f64 (/.f64 x y) y (neg.f64 y)) |
(fma.f64 #s(literal -1 binary64) y (/.f64 (*.f64 y x) y)) |
(fma.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) y) (neg.f64 y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 y) (-.f64 (neg.f64 y) (/.f64 (*.f64 y x) y)) (/.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 y y))) (fma.f64 (/.f64 (*.f64 y x) y) (/.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 y y)) (*.f64 (neg.f64 y) (*.f64 y y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 (/.f64 x y) #s(literal -1 binary64))) (-.f64 (/.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 y y)) (*.f64 y y)))) |
(/.f64 (fma.f64 (/.f64 (*.f64 y x) y) (/.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 y y)) (*.f64 (neg.f64 y) (*.f64 y y))) (fma.f64 (neg.f64 y) (-.f64 (neg.f64 y) (/.f64 (*.f64 y x) y)) (/.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 y y)))) |
(/.f64 (fma.f64 (/.f64 (*.f64 y x) y) (/.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 y y)) (*.f64 (neg.f64 y) (*.f64 y y))) (fma.f64 y y (-.f64 (/.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 y y)) (*.f64 (/.f64 x y) (*.f64 y (neg.f64 y)))))) |
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 y y)) (*.f64 y y)) (*.f64 y (-.f64 (/.f64 x y) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 y y)) (*.f64 y y)) (fma.f64 y (/.f64 x y) y)) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 y x) y) (/.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 y y)) (*.f64 (neg.f64 y) (*.f64 y y)))) (neg.f64 (fma.f64 (neg.f64 y) (-.f64 (neg.f64 y) (/.f64 (*.f64 y x) y)) (/.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 y y))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 y y)) (*.f64 y y))) (neg.f64 (*.f64 y (-.f64 (/.f64 x y) #s(literal -1 binary64))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y x) y) (/.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 y y))) (*.f64 y (*.f64 y y))) (+.f64 (/.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 y y)) (fma.f64 y y (*.f64 (/.f64 (*.f64 y x) y) y)))) |
(/.f64 (-.f64 (*.f64 y y) (/.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 y y))) (-.f64 (neg.f64 y) (/.f64 (*.f64 y x) y))) |
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y))) |
(*.f64 y (+.f64 (/.f64 x y) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (/.f64 (*.f64 y x) y) (/.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 y y)) (*.f64 (neg.f64 y) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (-.f64 (neg.f64 y) (/.f64 (*.f64 y x) y)) (/.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 y y))))) |
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 y y)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (/.f64 x y) #s(literal -1 binary64))))) |
(-.f64 (/.f64 (/.f64 (*.f64 y x) y) (-.f64 #s(literal 2 binary64) (+.f64 y x))) (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 y x)))) |
(neg.f64 (/.f64 (fma.f64 y (/.f64 x y) (neg.f64 y)) (neg.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x))))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 y (/.f64 x y) (neg.f64 y))) (-.f64 #s(literal 2 binary64) (+.f64 y x)))) |
(/.f64 (fma.f64 y (/.f64 x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 y x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) (fma.f64 y (/.f64 x y) (neg.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) (fma.f64 y (/.f64 x y) (neg.f64 y))) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (fma.f64 y (/.f64 x y) (neg.f64 y))) (neg.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)))) |
(/.f64 (fma.f64 (/.f64 (*.f64 y x) y) (/.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 y y)) (*.f64 (neg.f64 y) (*.f64 y y))) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) (fma.f64 (neg.f64 y) (-.f64 (neg.f64 y) (/.f64 (*.f64 y x) y)) (/.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 y y))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) (fma.f64 y (/.f64 x y) (neg.f64 y))))) |
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 y y)) (*.f64 y y)) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) (*.f64 y (-.f64 (/.f64 x y) #s(literal -1 binary64))))) |
(/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 y x) y) (/.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 y y)) (*.f64 (neg.f64 y) (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (fma.f64 (neg.f64 y) (-.f64 (neg.f64 y) (/.f64 (*.f64 y x) y)) (/.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 y y))) (-.f64 #s(literal 2 binary64) (+.f64 y x)))) |
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 y y)) (*.f64 y y)) #s(literal 1 binary64)) (*.f64 (*.f64 y (-.f64 (/.f64 x y) #s(literal -1 binary64))) (-.f64 #s(literal 2 binary64) (+.f64 y x)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 y (/.f64 x y) (neg.f64 y)))) (neg.f64 (neg.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x))))) |
(/.f64 (*.f64 (fma.f64 y (/.f64 x y) (neg.f64 y)) #s(literal 1 binary64)) (-.f64 #s(literal 2 binary64) (+.f64 y x))) |
(/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 y x) y) (/.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 y y)) (*.f64 (neg.f64 y) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 y x)))) (fma.f64 (neg.f64 y) (-.f64 (neg.f64 y) (/.f64 (*.f64 y x) y)) (/.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 y y)))) |
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(neg.f64 (/.f64 (+.f64 #s(literal -2 binary64) (+.f64 x x)) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) y) |
(/.f64 (+.f64 #s(literal -2 binary64) (+.f64 x x)) (neg.f64 y)) |
(/.f64 (+.f64 #s(literal 8 binary64) (+.f64 x x)) (*.f64 y (+.f64 (+.f64 x x) #s(literal 4 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) |
(/.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64)) (*.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 y (+.f64 x x))) (*.f64 y y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) y) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (+.f64 x x))) (neg.f64 y)) |
(/.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 1 binary64)) y) |
(/.f64 (*.f64 (+.f64 #s(literal 8 binary64) (+.f64 x x)) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64)) y)) |
(/.f64 (*.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) y)) |
(/.f64 (neg.f64 (+.f64 #s(literal -2 binary64) (+.f64 x x))) (neg.f64 (neg.f64 y))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 x x) y) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 #s(literal 2 binary64) y) (fma.f64 (/.f64 (+.f64 x x) y) (/.f64 (+.f64 x x) y) (*.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 (+.f64 x x) y))))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 #s(literal 2 binary64) y)) (*.f64 (/.f64 (+.f64 x x) y) (/.f64 (+.f64 x x) y))) (+.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 (+.f64 x x) y))) |
(/.f64 (*.f64 (+.f64 #s(literal 8 binary64) (+.f64 x x)) (/.f64 #s(literal 1 binary64) y)) (+.f64 (+.f64 x x) #s(literal 4 binary64))) |
(/.f64 (*.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) y)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) |
(/.f64 (/.f64 (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal -1 binary64)) y) |
(pow.f64 (/.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) y)) |
(*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) y) #s(literal 1 binary64)) |
(*.f64 (+.f64 #s(literal -2 binary64) (+.f64 x x)) (/.f64 #s(literal 1 binary64) (neg.f64 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y)) |
(+.f64 #s(literal 2 binary64) (+.f64 x x)) |
(+.f64 (+.f64 x x) #s(literal 2 binary64)) |
(+.f64 (-.f64 #s(literal 2 binary64) x) (neg.f64 x)) |
(+.f64 (+.f64 #s(literal 2 binary64) x) x) |
(-.f64 #s(literal 2 binary64) (+.f64 x x)) |
(-.f64 (-.f64 #s(literal 2 binary64) x) x) |
(-.f64 (/.f64 #s(literal 8 binary64) (+.f64 (+.f64 x x) #s(literal 4 binary64))) (/.f64 (+.f64 x x) (+.f64 (+.f64 x x) #s(literal 4 binary64)))) |
(-.f64 (/.f64 #s(literal 4 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 (+.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) |
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) |
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) |
(fma.f64 #s(literal 2 binary64) (+.f64 x x) #s(literal 2 binary64)) |
(fma.f64 #s(literal 2 binary64) (neg.f64 x) #s(literal 2 binary64)) |
(fma.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x x)) #s(literal 2 binary64)) |
(fma.f64 (+.f64 x x) x #s(literal 2 binary64)) |
(fma.f64 (+.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) |
(fma.f64 (+.f64 x x) (+.f64 x x) #s(literal 2 binary64)) |
(fma.f64 (+.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) |
(fma.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 2 binary64)) |
(fma.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)) #s(literal 2 binary64)) |
(fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64)) |
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 2 binary64)) |
(fma.f64 #s(literal -1 binary64) (+.f64 x x) #s(literal 2 binary64)) |
(fma.f64 (pow.f64 (+.f64 x x) #s(literal 3/2 binary64)) (pow.f64 (+.f64 x x) #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64)) (+.f64 #s(literal 8 binary64) (+.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 x x) #s(literal 4 binary64)))) |
(/.f64 (+.f64 #s(literal 8 binary64) (+.f64 x x)) (+.f64 (+.f64 x x) #s(literal 4 binary64))) |
(/.f64 (+.f64 #s(literal 8 binary64) (+.f64 x x)) (+.f64 #s(literal 4 binary64) (-.f64 (+.f64 x x) (+.f64 x x)))) |
(/.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (+.f64 #s(literal 8 binary64) (+.f64 x x))) (neg.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64)))) |
(/.f64 (neg.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64))) (+.f64 #s(literal -2 binary64) (+.f64 x x))) |
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x) (fma.f64 x x (*.f64 (-.f64 #s(literal 2 binary64) x) x)))) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)) (*.f64 x x)) (+.f64 (-.f64 #s(literal 2 binary64) x) x)) |
(*.f64 (+.f64 #s(literal 8 binary64) (+.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x x) #s(literal 4 binary64)))) |
(*.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) |
(+.f64 x x) |
(+.f64 (+.f64 x x) (+.f64 x x)) |
(+.f64 (neg.f64 x) (neg.f64 x)) |
(+.f64 (*.f64 x (+.f64 x x)) (*.f64 x (+.f64 x x))) |
(exp.f64 (*.f64 (log.f64 (+.f64 x x)) #s(literal 3 binary64))) |
(-.f64 #s(literal 0 binary64) (+.f64 x x)) |
(-.f64 (/.f64 (*.f64 x x) #s(literal 0 binary64)) (/.f64 (*.f64 x x) #s(literal 0 binary64))) |
(fma.f64 x #s(literal 2 binary64) (+.f64 x x)) |
(fma.f64 x (+.f64 x x) (*.f64 x (+.f64 x x))) |
(fma.f64 #s(literal 2 binary64) x (+.f64 x x)) |
(fma.f64 #s(literal 2 binary64) (+.f64 x x) (+.f64 x x)) |
(fma.f64 #s(literal 2 binary64) (neg.f64 x) (+.f64 x x)) |
(fma.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x x)) (+.f64 x x)) |
(fma.f64 (+.f64 x x) x (+.f64 x x)) |
(fma.f64 (+.f64 x x) #s(literal 2 binary64) (+.f64 x x)) |
(fma.f64 (+.f64 x x) (+.f64 x x) (+.f64 x x)) |
(fma.f64 (+.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (+.f64 x x)) |
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (+.f64 x x)) |
(fma.f64 #s(literal -2 binary64) x (+.f64 x x)) |
(fma.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (+.f64 x x)) |
(fma.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)) (+.f64 x x)) |
(fma.f64 #s(literal 4 binary64) x (+.f64 x x)) |
(fma.f64 #s(literal 4 binary64) (*.f64 x x) (+.f64 x x)) |
(fma.f64 #s(literal -1 binary64) x (neg.f64 x)) |
(fma.f64 #s(literal -1 binary64) (+.f64 x x) (+.f64 x x)) |
(fma.f64 (pow.f64 (+.f64 x x) #s(literal 3/2 binary64)) (pow.f64 (+.f64 x x) #s(literal 3/2 binary64)) (+.f64 x x)) |
(neg.f64 (+.f64 x x)) |
(/.f64 #s(literal 1 binary64) (+.f64 x x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)))) |
(/.f64 (+.f64 x x) (+.f64 (+.f64 x x) (-.f64 (+.f64 x x) (+.f64 x x)))) |
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) |
(/.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) (fma.f64 x x #s(literal 0 binary64))) |
(/.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) (neg.f64 (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (pow.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3 binary64))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) |
(/.f64 (*.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x))) (*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x))) (fma.f64 x x #s(literal 0 binary64))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x))) (neg.f64 (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (-.f64 (+.f64 x x) (+.f64 x x)) (-.f64 (+.f64 x x) (+.f64 x x))) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x))) (fma.f64 x x #s(literal 0 binary64))) |
(/.f64 (*.f64 (+.f64 x x) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x))) (fma.f64 x x #s(literal 0 binary64))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) (+.f64 x x)) (fma.f64 x x #s(literal 0 binary64))) |
(/.f64 (*.f64 #s(literal 0 binary64) (+.f64 x x)) #s(literal 0 binary64)) |
(pow.f64 (+.f64 x x) #s(literal 2 binary64)) |
(pow.f64 (+.f64 x x) #s(literal 3 binary64)) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 #s(literal 2 binary64) (+.f64 x x)) |
(*.f64 #s(literal 2 binary64) (neg.f64 x)) |
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x x))) |
(*.f64 (+.f64 x x) x) |
(*.f64 (+.f64 x x) #s(literal 2 binary64)) |
(*.f64 (+.f64 x x) (+.f64 x x)) |
(*.f64 (+.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) |
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64))) |
(*.f64 #s(literal -2 binary64) x) |
(*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(*.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 #s(literal 4 binary64) x) |
(*.f64 #s(literal 4 binary64) (*.f64 x x)) |
(*.f64 #s(literal -1 binary64) (+.f64 x x)) |
(*.f64 (pow.f64 (+.f64 x x) #s(literal 3/2 binary64)) (pow.f64 (+.f64 x x) #s(literal 3/2 binary64))) |
(+.f64 y x) |
(+.f64 x y) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (*.f64 (+.f64 y x) (-.f64 x y)))) |
(/.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(/.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 y x)))) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 x y)) |
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (-.f64 x y))) |
(/.f64 (neg.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (-.f64 y x)) |
(*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y))) |
(*.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (*.f64 (+.f64 y x) (-.f64 x y))) (+.f64 y x)) |
(*.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y))) (fma.f64 y (+.f64 y x) (*.f64 x x))) |
| 1× | egg-herbie |
| 13 966× | lower-fma.f64 |
| 13 966× | lower-fma.f32 |
| 5 470× | lower-*.f64 |
| 5 470× | lower-*.f32 |
| 2 600× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 235 | 1683 |
| 1 | 717 | 1634 |
| 2 | 2145 | 1570 |
| 0 | 8237 | 1451 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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 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 (- 2 x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
1 |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y)))) |
1 |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y))) |
(* -1 (/ y (- 2 y))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2))))) |
-1 |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) |
-1 |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x 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) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/4 x))) |
(* x (+ 1/2 (* 1/4 x))) |
(* x (+ 1/2 (* 1/4 x))) |
(* 1/4 (pow x 2)) |
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x)))) |
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x)))) |
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x)))) |
(* 1/4 (pow x 2)) |
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x)))) |
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x)))) |
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x)))) |
1/2 |
(+ 1/2 (* 1/4 x)) |
(+ 1/2 (* 1/4 x)) |
(+ 1/2 (* 1/4 x)) |
(* 1/4 x) |
(* x (+ 1/4 (* 1/2 (/ 1 x)))) |
(* x (+ 1/4 (* 1/2 (/ 1 x)))) |
(* x (+ 1/4 (* 1/2 (/ 1 x)))) |
(* 1/4 x) |
(* x (+ 1/4 (* 1/2 (/ 1 x)))) |
(* x (+ 1/4 (* 1/2 (/ 1 x)))) |
(* x (+ 1/4 (* 1/2 (/ 1 x)))) |
(* -1/2 y) |
(+ (* -1/2 y) (* 1/2 x)) |
(+ (* -1/2 y) (* 1/2 x)) |
(+ (* -1/2 y) (* 1/2 x)) |
(* 1/2 x) |
(* x (+ 1/2 (* -1/2 (/ y x)))) |
(* x (+ 1/2 (* -1/2 (/ y x)))) |
(* x (+ 1/2 (* -1/2 (/ y x)))) |
(* 1/2 x) |
(* -1 (* x (- (* 1/2 (/ y x)) 1/2))) |
(* -1 (* x (- (* 1/2 (/ y x)) 1/2))) |
(* -1 (* x (- (* 1/2 (/ y x)) 1/2))) |
(* 1/2 x) |
(+ (* -1/2 y) (* 1/2 x)) |
(+ (* -1/2 y) (* 1/2 x)) |
(+ (* -1/2 y) (* 1/2 x)) |
(* -1/2 y) |
(* y (- (* 1/2 (/ x y)) 1/2)) |
(* y (- (* 1/2 (/ x y)) 1/2)) |
(* y (- (* 1/2 (/ x y)) 1/2)) |
(* -1/2 y) |
(* -1 (* y (+ 1/2 (* -1/2 (/ x y))))) |
(* -1 (* y (+ 1/2 (* -1/2 (/ x y))))) |
(* -1 (* y (+ 1/2 (* -1/2 (/ x 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 (* 2 (/ 1 y))) |
(+ 1 (+ (* -2 (/ x y)) (* 2 (/ 1 y)))) |
(+ 1 (+ (* -2 (/ x y)) (* 2 (/ 1 y)))) |
(+ 1 (+ (* -2 (/ x y)) (* 2 (/ 1 y)))) |
(* -2 (/ x y)) |
(* x (- (+ (/ 1 x) (/ 2 (* x y))) (* 2 (/ 1 y)))) |
(* x (- (+ (/ 1 x) (/ 2 (* x y))) (* 2 (/ 1 y)))) |
(* x (- (+ (/ 1 x) (/ 2 (* x y))) (* 2 (/ 1 y)))) |
(* -2 (/ x y)) |
(* -1 (* x (+ (* -1 (/ (+ 1 (* 2 (/ 1 y))) x)) (* 2 (/ 1 y))))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (* 2 (/ 1 y))) x)) (* 2 (/ 1 y))))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (* 2 (/ 1 y))) x)) (* 2 (/ 1 y))))) |
(/ (- 2 (* 2 x)) y) |
(/ (- (+ 2 y) (* 2 x)) y) |
(/ (- (+ 2 y) (* 2 x)) y) |
(/ (- (+ 2 y) (* 2 x)) y) |
1 |
(- (+ 1 (* 2 (/ 1 y))) (* 2 (/ x y))) |
(- (+ 1 (* 2 (/ 1 y))) (* 2 (/ x y))) |
(- (+ 1 (* 2 (/ 1 y))) (* 2 (/ x y))) |
1 |
(- (+ 1 (* 2 (/ 1 y))) (* 2 (/ x y))) |
(- (+ 1 (* 2 (/ 1 y))) (* 2 (/ x y))) |
(- (+ 1 (* 2 (/ 1 y))) (* 2 (/ x y))) |
(/ 2 y) |
(+ (* -2 (/ x y)) (* 2 (/ 1 y))) |
(+ (* -2 (/ x y)) (* 2 (/ 1 y))) |
(+ (* -2 (/ x y)) (* 2 (/ 1 y))) |
(* -2 (/ x y)) |
(* x (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 y)))) |
(* x (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 y)))) |
(* x (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 y)))) |
(* -2 (/ x y)) |
(* -1 (* x (- (* 2 (/ 1 y)) (* 2 (/ 1 (* x y)))))) |
(* -1 (* x (- (* 2 (/ 1 y)) (* 2 (/ 1 (* x y)))))) |
(* -1 (* x (- (* 2 (/ 1 y)) (* 2 (/ 1 (* x y)))))) |
(/ (- 2 (* 2 x)) y) |
(/ (- 2 (* 2 x)) y) |
(/ (- 2 (* 2 x)) y) |
(/ (- 2 (* 2 x)) y) |
(/ (- 2 (* 2 x)) y) |
(/ (- 2 (* 2 x)) y) |
(/ (- 2 (* 2 x)) y) |
(/ (- 2 (* 2 x)) y) |
(/ (- 2 (* 2 x)) y) |
(/ (- 2 (* 2 x)) y) |
(/ (- 2 (* 2 x)) y) |
(/ (- 2 (* 2 x)) y) |
2 |
(+ 2 (* -2 x)) |
(+ 2 (* -2 x)) |
(+ 2 (* -2 x)) |
(* -2 x) |
(* x (- (* 2 (/ 1 x)) 2)) |
(* x (- (* 2 (/ 1 x)) 2)) |
(* x (- (* 2 (/ 1 x)) 2)) |
(* -2 x) |
(* -1 (* x (- 2 (* 2 (/ 1 x))))) |
(* -1 (* x (- 2 (* 2 (/ 1 x))))) |
(* -1 (* x (- 2 (* 2 (/ 1 x))))) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
| Outputs |
|---|
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 (/.f64 (*.f64 x y) y) y) |
(* y (- (/ x y) 1)) |
(-.f64 (/.f64 (*.f64 x y) y) y) |
(* y (- (/ x y) 1)) |
(-.f64 (/.f64 (*.f64 x y) y) y) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 (/.f64 (*.f64 x y) y) y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 (/.f64 (*.f64 x y) y) y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 (/.f64 (*.f64 x y) y) 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 (- 2 x)) |
(/.f64 x (-.f64 #s(literal 2 binary64) x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (fma.f64 y (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))) (/.f64 y (+.f64 x #s(literal -2 binary64))))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 y (fma.f64 y (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)))) (+.f64 (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -2 binary64)))) (+.f64 (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) x))))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (fma.f64 y (+.f64 (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))) (fma.f64 y (+.f64 (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)))) (fma.f64 y (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -2 binary64))))))) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -2 binary64)))))) (/.f64 y (+.f64 x #s(literal -2 binary64))))) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) y)) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y))) |
(+.f64 (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) y) (fma.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) (*.f64 y y)) #s(literal 1 binary64))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y)))) |
(+.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) (fma.f64 (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) (*.f64 y y)) (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)) y) (+.f64 x #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 x y)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) y)) |
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -2 binary64) (fma.f64 (+.f64 x #s(literal -2 binary64)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) y) #s(literal 2 binary64))) y)) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) (/.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) (fma.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 #s(literal 2 binary64) x) y) (-.f64 #s(literal 2 binary64) x))) y)) y)) |
(* -1 (/ y (- 2 y))) |
(/.f64 y (+.f64 y #s(literal -2 binary64))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))))) |
(fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y #s(literal -2 binary64))))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(+.f64 (/.f64 y (+.f64 y #s(literal -2 binary64))) (fma.f64 x (fma.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y #s(literal -2 binary64))))) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y #s(literal -2 binary64))))) (/.f64 x (-.f64 #s(literal 2 binary64) y)))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (fma.f64 x (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y #s(literal -2 binary64))))) (-.f64 #s(literal 2 binary64) y)) (+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64))) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y #s(literal -2 binary64)))))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) |
-1 |
#s(literal -1 binary64) |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64)) |
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(+.f64 (fma.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (*.f64 x x)) (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x)) #s(literal -1 binary64)) |
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) |
(fma.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64))) (*.f64 x (*.f64 x x))) (-.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) (fma.f64 (fma.f64 y #s(literal -2 binary64) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 2 binary64) y) (*.f64 x x)) #s(literal 1 binary64)))) |
-1 |
#s(literal -1 binary64) |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64)) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) x))) x)) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (/.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (fma.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (-.f64 #s(literal 2 binary64) y) x) (-.f64 #s(literal 2 binary64) y))) x)) x)) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x 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) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* x (+ 1/2 (* 1/4 x))) |
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))) |
(* x (+ 1/2 (* 1/4 x))) |
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))) |
(* x (+ 1/2 (* 1/4 x))) |
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))) |
(* 1/4 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/4 binary64))) |
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))) |
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))) |
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))) |
(* 1/4 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/4 binary64))) |
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))) |
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))) |
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/4 x)) |
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/4 x)) |
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/4 x)) |
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) |
(* 1/4 x) |
(*.f64 x #s(literal 1/4 binary64)) |
(* x (+ 1/4 (* 1/2 (/ 1 x)))) |
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) |
(* x (+ 1/4 (* 1/2 (/ 1 x)))) |
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) |
(* x (+ 1/4 (* 1/2 (/ 1 x)))) |
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) |
(* 1/4 x) |
(*.f64 x #s(literal 1/4 binary64)) |
(* x (+ 1/4 (* 1/2 (/ 1 x)))) |
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) |
(* x (+ 1/4 (* 1/2 (/ 1 x)))) |
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) |
(* x (+ 1/4 (* 1/2 (/ 1 x)))) |
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(+ (* -1/2 y) (* 1/2 x)) |
(fma.f64 x #s(literal 1/2 binary64) (*.f64 y #s(literal -1/2 binary64))) |
(+ (* -1/2 y) (* 1/2 x)) |
(fma.f64 x #s(literal 1/2 binary64) (*.f64 y #s(literal -1/2 binary64))) |
(+ (* -1/2 y) (* 1/2 x)) |
(fma.f64 x #s(literal 1/2 binary64) (*.f64 y #s(literal -1/2 binary64))) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* x (+ 1/2 (* -1/2 (/ y x)))) |
(fma.f64 x #s(literal 1/2 binary64) (*.f64 y #s(literal -1/2 binary64))) |
(* x (+ 1/2 (* -1/2 (/ y x)))) |
(fma.f64 x #s(literal 1/2 binary64) (*.f64 y #s(literal -1/2 binary64))) |
(* x (+ 1/2 (* -1/2 (/ y x)))) |
(fma.f64 x #s(literal 1/2 binary64) (*.f64 y #s(literal -1/2 binary64))) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* -1 (* x (- (* 1/2 (/ y x)) 1/2))) |
(fma.f64 x #s(literal 1/2 binary64) (*.f64 y #s(literal -1/2 binary64))) |
(* -1 (* x (- (* 1/2 (/ y x)) 1/2))) |
(fma.f64 x #s(literal 1/2 binary64) (*.f64 y #s(literal -1/2 binary64))) |
(* -1 (* x (- (* 1/2 (/ y x)) 1/2))) |
(fma.f64 x #s(literal 1/2 binary64) (*.f64 y #s(literal -1/2 binary64))) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(+ (* -1/2 y) (* 1/2 x)) |
(fma.f64 x #s(literal 1/2 binary64) (*.f64 y #s(literal -1/2 binary64))) |
(+ (* -1/2 y) (* 1/2 x)) |
(fma.f64 x #s(literal 1/2 binary64) (*.f64 y #s(literal -1/2 binary64))) |
(+ (* -1/2 y) (* 1/2 x)) |
(fma.f64 x #s(literal 1/2 binary64) (*.f64 y #s(literal -1/2 binary64))) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(* y (- (* 1/2 (/ x y)) 1/2)) |
(*.f64 y (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64))) |
(* y (- (* 1/2 (/ x y)) 1/2)) |
(*.f64 y (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64))) |
(* y (- (* 1/2 (/ x y)) 1/2)) |
(*.f64 y (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64))) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(* -1 (* y (+ 1/2 (* -1/2 (/ x y))))) |
(*.f64 y (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64))) |
(* -1 (* y (+ 1/2 (* -1/2 (/ x y))))) |
(*.f64 y (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64))) |
(* -1 (* y (+ 1/2 (* -1/2 (/ x y))))) |
(*.f64 y (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64))) |
(* -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 (/.f64 (*.f64 x y) y) y) |
(* y (- (/ x y) 1)) |
(-.f64 (/.f64 (*.f64 x y) y) y) |
(* y (- (/ x y) 1)) |
(-.f64 (/.f64 (*.f64 x y) y) y) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 (/.f64 (*.f64 x y) y) y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 (/.f64 (*.f64 x y) y) y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 (/.f64 (*.f64 x y) y) y) |
(+ 1 (* 2 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y)) |
(+ 1 (+ (* -2 (/ x y)) (* 2 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) y)) |
(+ 1 (+ (* -2 (/ x y)) (* 2 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) y)) |
(+ 1 (+ (* -2 (/ x y)) (* 2 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) y)) |
(* -2 (/ x y)) |
(/.f64 (*.f64 x #s(literal -2 binary64)) y) |
(* x (- (+ (/ 1 x) (/ 2 (* x y))) (* 2 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) y)) |
(* x (- (+ (/ 1 x) (/ 2 (* x y))) (* 2 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) y)) |
(* x (- (+ (/ 1 x) (/ 2 (* x y))) (* 2 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) y)) |
(* -2 (/ x y)) |
(/.f64 (*.f64 x #s(literal -2 binary64)) y) |
(* -1 (* x (+ (* -1 (/ (+ 1 (* 2 (/ 1 y))) x)) (* 2 (/ 1 y))))) |
(neg.f64 (fma.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) y)) #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 2 binary64)) y))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (* 2 (/ 1 y))) x)) (* 2 (/ 1 y))))) |
(neg.f64 (fma.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) y)) #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 2 binary64)) y))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (* 2 (/ 1 y))) x)) (* 2 (/ 1 y))))) |
(neg.f64 (fma.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) y)) #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 2 binary64)) y))) |
(/ (- 2 (* 2 x)) y) |
(/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) y) |
(/ (- (+ 2 y) (* 2 x)) y) |
(/.f64 (+.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))) y) |
(/ (- (+ 2 y) (* 2 x)) y) |
(/.f64 (+.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))) y) |
(/ (- (+ 2 y) (* 2 x)) y) |
(/.f64 (+.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))) y) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (* 2 (/ 1 y))) (* 2 (/ x y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) y)) |
(- (+ 1 (* 2 (/ 1 y))) (* 2 (/ x y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) y)) |
(- (+ 1 (* 2 (/ 1 y))) (* 2 (/ x y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) y)) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (* 2 (/ 1 y))) (* 2 (/ x y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) y)) |
(- (+ 1 (* 2 (/ 1 y))) (* 2 (/ x y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) y)) |
(- (+ 1 (* 2 (/ 1 y))) (* 2 (/ x y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) y)) |
(/ 2 y) |
(/.f64 #s(literal 2 binary64) y) |
(+ (* -2 (/ x y)) (* 2 (/ 1 y))) |
(/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) y) |
(+ (* -2 (/ x y)) (* 2 (/ 1 y))) |
(/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) y) |
(+ (* -2 (/ x y)) (* 2 (/ 1 y))) |
(/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) y) |
(* -2 (/ x y)) |
(/.f64 (*.f64 x #s(literal -2 binary64)) y) |
(* x (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 y)))) |
(/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) y) |
(* x (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 y)))) |
(/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) y) |
(* x (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 y)))) |
(/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) y) |
(* -2 (/ x y)) |
(/.f64 (*.f64 x #s(literal -2 binary64)) y) |
(* -1 (* x (- (* 2 (/ 1 y)) (* 2 (/ 1 (* x y)))))) |
(/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) y) |
(* -1 (* x (- (* 2 (/ 1 y)) (* 2 (/ 1 (* x y)))))) |
(/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) y) |
(* -1 (* x (- (* 2 (/ 1 y)) (* 2 (/ 1 (* x y)))))) |
(/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) y) |
(/ (- 2 (* 2 x)) y) |
(/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) y) |
(/ (- 2 (* 2 x)) y) |
(/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) y) |
(/ (- 2 (* 2 x)) y) |
(/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) y) |
(/ (- 2 (* 2 x)) y) |
(/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) y) |
(/ (- 2 (* 2 x)) y) |
(/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) y) |
(/ (- 2 (* 2 x)) y) |
(/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) y) |
(/ (- 2 (* 2 x)) y) |
(/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) y) |
(/ (- 2 (* 2 x)) y) |
(/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) y) |
(/ (- 2 (* 2 x)) y) |
(/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) y) |
(/ (- 2 (* 2 x)) y) |
(/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) y) |
(/ (- 2 (* 2 x)) y) |
(/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) y) |
(/ (- 2 (* 2 x)) y) |
(/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) y) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -2 x)) |
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) |
(+ 2 (* -2 x)) |
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) |
(+ 2 (* -2 x)) |
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* x (- (* 2 (/ 1 x)) 2)) |
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) |
(* x (- (* 2 (/ 1 x)) 2)) |
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) |
(* x (- (* 2 (/ 1 x)) 2)) |
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -1 (* x (- 2 (* 2 (/ 1 x))))) |
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) |
(* -1 (* x (- 2 (* 2 (/ 1 x))))) |
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) |
(* -1 (* x (- 2 (* 2 (/ 1 x))))) |
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
y |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
x |
(* x (+ 1 (/ y x))) |
(+.f64 x y) |
(* x (+ 1 (/ y x))) |
(+.f64 x y) |
(* x (+ 1 (/ y x))) |
(+.f64 x y) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 x y) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 x y) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 x y) |
x |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
y |
(* y (+ 1 (/ x y))) |
(fma.f64 x (/.f64 y y) y) |
(* y (+ 1 (/ x y))) |
(fma.f64 x (/.f64 y y) y) |
(* y (+ 1 (/ x y))) |
(fma.f64 x (/.f64 y y) y) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(fma.f64 x (/.f64 y y) y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(fma.f64 x (/.f64 y y) y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(fma.f64 x (/.f64 y y) y) |
Compiled 7 731 to 1 153 computations (85.1% saved)
18 alts after pruning (10 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 550 | 2 | 552 |
| Fresh | 0 | 8 | 8 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 5 | 5 |
| Total | 552 | 18 | 570 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 91.5% | (/.f64 (fma.f64 y (/.f64 x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| ▶ | 62.2% | (/.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (+.f64 x y)) |
| 38.9% | (/.f64 (-.f64 y x) x) | |
| ✓ | 100.0% | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| ✓ | 66.6% | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x)) |
| ▶ | 34.5% | (/.f64 (-.f64 x y) (neg.f64 y)) |
| ▶ | 47.3% | (/.f64 y (+.f64 y #s(literal -2 binary64))) |
| ✓ | 53.4% | (/.f64 x (-.f64 #s(literal 2 binary64) x)) |
| 38.9% | (+.f64 (/.f64 y x) #s(literal -1 binary64)) | |
| 34.7% | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -2 binary64)) y)) | |
| 36.1% | (*.f64 (/.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x x))) (+.f64 #s(literal 2 binary64) x)) | |
| ✓ | 99.8% | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) |
| ▶ | 29.2% | (*.f64 (-.f64 x y) #s(literal 1/2 binary64)) |
| 15.3% | (*.f64 y #s(literal -1/2 binary64)) | |
| ✓ | 16.0% | (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))) |
| ▶ | 16.5% | (*.f64 x #s(literal 1/2 binary64)) |
| ✓ | 34.2% | #s(literal 1 binary64) |
| ✓ | 38.8% | #s(literal -1 binary64) |
Compiled 243 to 162 computations (33.3% saved)
| 1× | egg-herbie |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (neg.f64 y) |
| ✓ | cost-diff | 0 | (-.f64 x y) |
| ✓ | cost-diff | 128 | (/.f64 (-.f64 x y) (neg.f64 y)) |
| ✓ | cost-diff | 0 | (+.f64 y #s(literal -2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 y (+.f64 y #s(literal -2 binary64))) |
| ✓ | cost-diff | 0 | (-.f64 x y) |
| ✓ | cost-diff | 0 | (*.f64 (-.f64 x y) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 x y) |
| ✓ | cost-diff | 0 | (*.f64 (-.f64 x y) (+.f64 x y)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| ✓ | cost-diff | 1408 | (/.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (+.f64 x y)) |
| 9 590× | lower-fma.f64 |
| 9 590× | lower-fma.f32 |
| 2 750× | lower--.f32 |
| 2 746× | lower--.f64 |
| 2 720× | lower-*.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 90 |
| 0 | 29 | 90 |
| 1 | 58 | 90 |
| 2 | 135 | 84 |
| 3 | 376 | 81 |
| 4 | 878 | 81 |
| 5 | 3071 | 81 |
| 0 | 8574 | 81 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (+.f64 x y)) |
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
(*.f64 (-.f64 x y) (+.f64 x y)) |
(-.f64 x y) |
x |
y |
(+.f64 x y) |
(-.f64 #s(literal 2 binary64) (+.f64 x y)) |
#s(literal 2 binary64) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
(*.f64 (-.f64 x y) #s(literal 1/2 binary64)) |
(-.f64 x y) |
x |
y |
#s(literal 1/2 binary64) |
(/.f64 y (+.f64 y #s(literal -2 binary64))) |
y |
(+.f64 y #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(/.f64 (-.f64 x y) (neg.f64 y)) |
(-.f64 x y) |
x |
y |
(neg.f64 y) |
| Outputs |
|---|
(/.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (+.f64 x y)) |
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (+.f64 (+.f64 x y) #s(literal -2 binary64))) |
(*.f64 (-.f64 x y) (+.f64 x y)) |
(-.f64 x y) |
x |
y |
(+.f64 x y) |
(-.f64 #s(literal 2 binary64) (+.f64 x y)) |
#s(literal 2 binary64) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
(*.f64 (-.f64 x y) #s(literal 1/2 binary64)) |
(-.f64 x y) |
x |
y |
#s(literal 1/2 binary64) |
(/.f64 y (+.f64 y #s(literal -2 binary64))) |
y |
(+.f64 y #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(/.f64 (-.f64 x y) (neg.f64 y)) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(-.f64 x y) |
x |
y |
(neg.f64 y) |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (-.f64 x y) |
| ✓ | accuracy | 100.0% | (neg.f64 y) |
| ✓ | accuracy | 100.0% | (/.f64 (-.f64 x y) (neg.f64 y)) |
| ✓ | accuracy | 100.0% | (+.f64 y #s(literal -2 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 y (+.f64 y #s(literal -2 binary64))) |
| ✓ | accuracy | 100.0% | (-.f64 x y) |
| ✓ | accuracy | 100.0% | (*.f64 (-.f64 x y) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 x y) |
| ✓ | accuracy | 100.0% | (*.f64 (-.f64 x y) (+.f64 x y)) |
| ✓ | accuracy | 96.0% | (/.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (+.f64 x y)) |
| ✓ | accuracy | 67.7% | (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| 32.0ms | 256× | 0 | valid |
Compiled 92 to 19 computations (79.3% saved)
ival-div: 6.0ms (34.9% of total)ival-mult: 4.0ms (23.3% of total)ival-sub: 3.0ms (17.5% of total)ival-add: 2.0ms (11.6% of total)ival-neg: 1.0ms (5.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (+.f64 x y))> |
#<alt (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (+.f64 x y)))> |
#<alt (*.f64 (-.f64 x y) (+.f64 x y))> |
#<alt (-.f64 x y)> |
#<alt (*.f64 x #s(literal 1/2 binary64))> |
#<alt (*.f64 (-.f64 x y) #s(literal 1/2 binary64))> |
#<alt (/.f64 y (+.f64 y #s(literal -2 binary64)))> |
#<alt (+.f64 y #s(literal -2 binary64))> |
#<alt (/.f64 (-.f64 x y) (neg.f64 y))> |
#<alt (neg.f64 y)> |
#<alt (+.f64 x y)> |
| Outputs |
|---|
#<alt (* -1 (/ y (- 2 y)))> |
#<alt (+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))> |
#<alt (+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))> |
#<alt (+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))> |
#<alt -1> |
#<alt (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))> |
#<alt (- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))> |
#<alt (- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))> |
#<alt -1> |
#<alt (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))> |
#<alt (- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)> |
#<alt (- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)> |
#<alt (/ x (- 2 x))> |
#<alt (+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))> |
#<alt (+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))> |
#<alt (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))> |
#<alt 1> |
#<alt (- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))> |
#<alt (- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))> |
#<alt (- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))> |
#<alt 1> |
#<alt (+ 1 (* -1 (/ (- (* 2 x) 2) y)))> |
#<alt (+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))> |
#<alt (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))> |
#<alt (* -1 (/ (pow y 2) (- 2 y)))> |
#<alt (+ (* -1 (/ (pow y 2) (- 2 y))) (* x (- (+ (* -1 (/ y (- 2 y))) (/ y (- 2 y))) (/ (pow y 2) (pow (- 2 y) 2)))))> |
#<alt (+ (* -1 (/ (pow y 2) (- 2 y))) (* x (- (+ (* -1 (/ y (- 2 y))) (+ (* x (- (/ 1 (- 2 y)) (* -1 (/ (- (+ (* -1 (/ y (- 2 y))) (/ y (- 2 y))) (/ (pow y 2) (pow (- 2 y) 2))) (- 2 y))))) (/ y (- 2 y)))) (/ (pow y 2) (pow (- 2 y) 2)))))> |
#<alt (+ (* -1 (/ (pow y 2) (- 2 y))) (* x (- (+ (* -1 (/ y (- 2 y))) (+ (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (* -1 (/ (- (+ (* -1 (/ y (- 2 y))) (/ y (- 2 y))) (/ (pow y 2) (pow (- 2 y) 2))) (- 2 y))))) (- 2 y))) (* -1 (/ (- (+ (* -1 (/ y (- 2 y))) (/ y (- 2 y))) (/ (pow y 2) (pow (- 2 y) 2))) (- 2 y))))) (/ y (- 2 y)))) (/ (pow y 2) (pow (- 2 y) 2)))))> |
#<alt (* -1 x)> |
#<alt (* x (- (+ (* -1 (/ (+ y (* -1 y)) x)) (/ y x)) (+ 1 (* 2 (/ 1 x)))))> |
#<alt (* x (- (+ (* -1 (/ (+ y (* -1 y)) x)) (+ (/ y x) (/ (pow y 2) (pow x 2)))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (+ y (* -1 (+ y (* -1 y)))) 2)) (pow x 2))) (* 2 (/ 1 x))))))> |
#<alt (* x (- (+ (* -1 (/ (+ y (* -1 y)) x)) (+ (/ y x) (+ (/ (* (- 2 y) (- (pow y 2) (* -1 (* (- 2 y) (- (+ y (* -1 (+ y (* -1 y)))) 2))))) (pow x 3)) (/ (pow y 2) (pow x 2))))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (+ y (* -1 (+ y (* -1 y)))) 2)) (pow x 2))) (* 2 (/ 1 x))))))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (- (+ 1 (+ (* -1 (/ y x)) (/ y x))) (* -1 (/ (- 2 y) x)))))> |
#<alt (* -1 (* x (+ 1 (* -1 (/ (- (+ (* -1 (- (+ y (* -1 y)) (* -1 (- 2 y)))) (/ (pow y 2) x)) (/ (* (- 2 y) (- (+ y (* -1 y)) (* -1 (- 2 y)))) x)) x)))))> |
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ (* -1 (- (+ y (* -1 y)) (* -1 (- 2 y)))) (* -1 (/ (+ (* -1 (- (pow y 2) (* (- 2 y) (- (+ y (* -1 y)) (* -1 (- 2 y)))))) (* -1 (/ (* (- 2 y) (- (pow y 2) (* (- 2 y) (- (+ y (* -1 y)) (* -1 (- 2 y)))))) x))) x))) x)))))> |
#<alt (/ (pow x 2) (- 2 x))> |
#<alt (+ (* y (- (+ (* -1 (/ x (- 2 x))) (/ x (- 2 x))) (* -1 (/ (pow x 2) (pow (- 2 x) 2))))) (/ (pow x 2) (- 2 x)))> |
#<alt (+ (* y (- (+ (* -1 (* y (+ (* -1 (/ (- (+ (* -1 (/ x (- 2 x))) (/ x (- 2 x))) (* -1 (/ (pow x 2) (pow (- 2 x) 2)))) (- 2 x))) (/ 1 (- 2 x))))) (+ (* -1 (/ x (- 2 x))) (/ x (- 2 x)))) (* -1 (/ (pow x 2) (pow (- 2 x) 2))))) (/ (pow x 2) (- 2 x)))> |
#<alt (+ (* y (- (+ (* -1 (/ x (- 2 x))) (+ (* y (- (* -1 (* y (+ (* -1 (/ (- (+ (* -1 (/ x (- 2 x))) (/ x (- 2 x))) (* -1 (/ (pow x 2) (pow (- 2 x) 2)))) (pow (- 2 x) 2))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ (- (+ (* -1 (/ x (- 2 x))) (/ x (- 2 x))) (* -1 (/ (pow x 2) (pow (- 2 x) 2)))) (- 2 x))) (/ 1 (- 2 x))))) (/ x (- 2 x)))) (* -1 (/ (pow x 2) (pow (- 2 x) 2))))) (/ (pow x 2) (- 2 x)))> |
#<alt y> |
#<alt (* y (- (+ 1 (* -1 (/ (+ x (* -1 x)) y))) (* -1 (/ (- 2 x) y))))> |
#<alt (* y (- (+ 1 (+ (* -1 (/ (+ x (* -1 x)) y)) (* -1 (/ (pow x 2) (pow y 2))))) (+ (* -1 (/ (* (- 2 x) (- (* -1 (+ x (* -1 x))) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y)))))> |
#<alt (* y (- (+ 1 (+ (* -1 (/ (+ x (* -1 x)) y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ (* (- 2 x) (- (* -1 (pow x 2)) (* -1 (* (- 2 x) (- (* -1 (+ x (* -1 x))) (* -1 (- 2 x))))))) (pow y 3))))) (+ (* -1 (/ (* (- 2 x) (- (* -1 (+ x (* -1 x))) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y)))))> |
#<alt y> |
#<alt (* -1 (* y (- (* -1 (/ (- (+ x (* -1 x)) (* -1 (- 2 x))) y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ (- (+ x (+ (* -1 x) (* -1 (/ (- (pow x 2) (* (- 2 x) (- (+ x (* -1 x)) (* -1 (- 2 x))))) y)))) (* -1 (- 2 x))) y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ (- (+ x (+ (* -1 x) (* -1 (/ (- (+ (/ (* (- 2 x) (- (pow x 2) (* (- 2 x) (- (+ x (* -1 x)) (* -1 (- 2 x)))))) y) (pow x 2)) (* (- 2 x) (- (+ x (* -1 x)) (* -1 (- 2 x))))) y)))) (* -1 (- 2 x))) y)) 1)))> |
#<alt (* -1 (pow y 2))> |
#<alt (+ (* -1 (pow y 2)) (* x (+ y (* -1 y))))> |
#<alt (+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))> |
#<alt (+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))> |
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))> |
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))> |
#<alt (pow x 2)> |
#<alt (+ (* y (+ x (* -1 x))) (pow x 2))> |
#<alt (+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))> |
#<alt (+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))> |
#<alt (* -1 (pow y 2))> |
#<alt (* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1))> |
#<alt (* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))> |
#<alt (* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))> |
#<alt (* -1 (pow y 2))> |
#<alt (* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1))> |
#<alt (* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))> |
#<alt (* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))> |
#<alt (* -1 y)> |
#<alt (- x y)> |
#<alt (- x y)> |
#<alt (- x y)> |
#<alt x> |
#<alt (* x (+ 1 (* -1 (/ y x))))> |
#<alt (* x (+ 1 (* -1 (/ y x))))> |
#<alt (* x (+ 1 (* -1 (/ y x))))> |
#<alt x> |
#<alt (* -1 (* x (- (/ y x) 1)))> |
#<alt (* -1 (* x (- (/ y x) 1)))> |
#<alt (* -1 (* x (- (/ y x) 1)))> |
#<alt x> |
#<alt (+ x (* -1 y))> |
#<alt (+ x (* -1 y))> |
#<alt (+ x (* -1 y))> |
#<alt (* -1 y)> |
#<alt (* y (- (/ x y) 1))> |
#<alt (* y (- (/ x y) 1))> |
#<alt (* y (- (/ x y) 1))> |
#<alt (* -1 y)> |
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* -1/2 y)> |
#<alt (+ (* -1/2 y) (* 1/2 x))> |
#<alt (+ (* -1/2 y) (* 1/2 x))> |
#<alt (+ (* -1/2 y) (* 1/2 x))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* -1/2 (/ y x))))> |
#<alt (* x (+ 1/2 (* -1/2 (/ y x))))> |
#<alt (* x (+ 1/2 (* -1/2 (/ y x))))> |
#<alt (* 1/2 x)> |
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))> |
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))> |
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))> |
#<alt (* 1/2 x)> |
#<alt (+ (* -1/2 y) (* 1/2 x))> |
#<alt (+ (* -1/2 y) (* 1/2 x))> |
#<alt (+ (* -1/2 y) (* 1/2 x))> |
#<alt (* -1/2 y)> |
#<alt (* y (- (* 1/2 (/ x y)) 1/2))> |
#<alt (* y (- (* 1/2 (/ x y)) 1/2))> |
#<alt (* y (- (* 1/2 (/ x y)) 1/2))> |
#<alt (* -1/2 y)> |
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))> |
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))> |
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))> |
#<alt (* -1/2 y)> |
#<alt (* y (- (* -1/4 y) 1/2))> |
#<alt (* y (- (* y (- (* -1/8 y) 1/4)) 1/2))> |
#<alt (* y (- (* y (- (* y (- (* -1/16 y) 1/8)) 1/4)) 1/2))> |
#<alt 1> |
#<alt (+ 1 (* 2 (/ 1 y)))> |
#<alt (+ 1 (+ (* 2 (/ 1 y)) (/ 4 (pow y 2))))> |
#<alt (+ 1 (+ (* 2 (/ 1 y)) (+ (* 8 (/ 1 (pow y 3))) (/ 4 (pow y 2)))))> |
#<alt 1> |
#<alt (+ 1 (* 2 (/ 1 y)))> |
#<alt (+ 1 (+ (* 2 (/ 1 y)) (/ 4 (pow y 2))))> |
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 y))) y)) 2) y)))> |
#<alt -2> |
#<alt (- y 2)> |
#<alt (- y 2)> |
#<alt (- y 2)> |
#<alt y> |
#<alt (* y (- 1 (* 2 (/ 1 y))))> |
#<alt (* y (- 1 (* 2 (/ 1 y))))> |
#<alt (* y (- 1 (* 2 (/ 1 y))))> |
#<alt y> |
#<alt (* -1 (* y (- (* 2 (/ 1 y)) 1)))> |
#<alt (* -1 (* y (- (* 2 (/ 1 y)) 1)))> |
#<alt (* -1 (* y (- (* 2 (/ 1 y)) 1)))> |
#<alt 1> |
#<alt (+ 1 (* -1 (/ x y)))> |
#<alt (+ 1 (* -1 (/ x y)))> |
#<alt (+ 1 (* -1 (/ x y)))> |
#<alt (* -1 (/ x y))> |
#<alt (* x (- (/ 1 x) (/ 1 y)))> |
#<alt (* x (- (/ 1 x) (/ 1 y)))> |
#<alt (* x (- (/ 1 x) (/ 1 y)))> |
#<alt (* -1 (/ x y))> |
#<alt (* -1 (* x (- (/ 1 y) (/ 1 x))))> |
#<alt (* -1 (* x (- (/ 1 y) (/ 1 x))))> |
#<alt (* -1 (* x (- (/ 1 y) (/ 1 x))))> |
#<alt (* -1 (/ x y))> |
#<alt (/ (+ y (* -1 x)) y)> |
#<alt (/ (+ y (* -1 x)) y)> |
#<alt (/ (+ y (* -1 x)) y)> |
#<alt 1> |
#<alt (+ 1 (* -1 (/ x y)))> |
#<alt (+ 1 (* -1 (/ x y)))> |
#<alt (+ 1 (* -1 (/ x y)))> |
#<alt 1> |
#<alt (+ 1 (* -1 (/ x y)))> |
#<alt (+ 1 (* -1 (/ x y)))> |
#<alt (+ 1 (* -1 (/ x y)))> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt y> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt x> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt x> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt y> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt y> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
54 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | 0 | (/ (* (- x y) (+ x y)) (- 2 (+ x y))) |
| 1.0ms | x | @ | -inf | (/ (* (- x y) (+ x y)) (- 2 (+ x y))) |
| 1.0ms | y | @ | 0 | (/ (* (- x y) (+ x y)) (- 2 (+ x y))) |
| 1.0ms | x | @ | inf | (/ (* (- x y) (+ x y)) (- 2 (+ x y))) |
| 1.0ms | y | @ | inf | (/ (* (- x y) (+ x y)) (- 2 (+ x y))) |
| 1× | batch-egg-rewrite |
| 4 964× | lower-/.f32 |
| 4 956× | lower-/.f64 |
| 4 194× | lower-*.f32 |
| 4 188× | lower-*.f64 |
| 3 408× | lower-fma.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 67 |
| 0 | 29 | 67 |
| 1 | 127 | 59 |
| 2 | 1066 | 56 |
| 0 | 8785 | 56 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (+.f64 x y)) |
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
(*.f64 (-.f64 x y) (+.f64 x y)) |
(-.f64 x y) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 (-.f64 x y) #s(literal 1/2 binary64)) |
(/.f64 y (+.f64 y #s(literal -2 binary64))) |
(+.f64 y #s(literal -2 binary64)) |
(/.f64 (-.f64 x y) (neg.f64 y)) |
(neg.f64 y) |
(+.f64 x y) |
| Outputs |
|---|
(+.f64 (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (fma.f64 y (-.f64 y x) (*.f64 x x))) (-.f64 x y)) (*.f64 x x)) (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (fma.f64 y (-.f64 y x) (*.f64 x x))) (-.f64 x y)) (*.f64 y (-.f64 y x)))) |
(+.f64 (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (fma.f64 y (-.f64 y x) (*.f64 x x))) (-.f64 x y)) (*.f64 y (-.f64 y x))) (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (fma.f64 y (-.f64 y x) (*.f64 x x))) (-.f64 x y)) (*.f64 x x))) |
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1 binary64)) x) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1 binary64)) (neg.f64 y))) |
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1 binary64)) (neg.f64 y)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1 binary64)) x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (neg.f64 y) x)) (neg.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))))) |
(-.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y)))) |
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (+.f64 x y) (*.f64 x x))) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 x y) (*.f64 x x))) (-.f64 #s(literal 2 binary64) (+.f64 x y)))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (/.f64 (*.f64 y y) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (+.f64 x y)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (+.f64 x y) (+.f64 (+.f64 x y) #s(literal -2 binary64)))) (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (*.f64 (+.f64 x y) (+.f64 (+.f64 x y) #s(literal -2 binary64))))) |
(-.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))) (/.f64 (*.f64 y y) (*.f64 (+.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))))) |
(fma.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (fma.f64 y (-.f64 y x) (*.f64 x x))) (-.f64 x y)) (*.f64 x x) (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (fma.f64 y (-.f64 y x) (*.f64 x x))) (-.f64 x y)) (*.f64 y (-.f64 y x)))) |
(fma.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (fma.f64 y (-.f64 y x) (*.f64 x x))) (-.f64 x y)) (*.f64 y (-.f64 y x)) (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (fma.f64 y (-.f64 y x) (*.f64 x x))) (-.f64 x y)) (*.f64 x x))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1 binary64)) x (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1 binary64)) (neg.f64 y))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1 binary64)) (neg.f64 y) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1 binary64)) x)) |
(neg.f64 (neg.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))))) |
(neg.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (*.f64 (+.f64 x y) (+.f64 (+.f64 x y) #s(literal -2 binary64))))) |
(neg.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 2 binary64) (+.f64 x y)))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal -2 binary64))))) |
(neg.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (*.f64 (+.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y)))) |
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
(/.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (+.f64 x y)) |
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(*.f64 (/.f64 (-.f64 x y) (*.f64 (/.f64 (-.f64 x y) (fma.f64 y (-.f64 y x) (*.f64 x x))) #s(literal 1 binary64))) (/.f64 (+.f64 x y) (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(*.f64 (/.f64 (+.f64 x y) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (/.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (*.f64 x x))))) |
(*.f64 (/.f64 (+.f64 x y) (*.f64 (/.f64 (-.f64 x y) (fma.f64 y (-.f64 y x) (*.f64 x x))) #s(literal 1 binary64))) (/.f64 (-.f64 x y) (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
| 1× | egg-herbie |
| 6 036× | lower-fma.f64 |
| 6 036× | lower-fma.f32 |
| 4 236× | lower-*.f64 |
| 4 236× | lower-*.f32 |
| 2 876× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 457 | 2477 |
| 1 | 1419 | 2033 |
| 2 | 5005 | 1962 |
| 0 | 8245 | 1858 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ y (- 2 y))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2))))) |
-1 |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) |
-1 |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
(/ x (- 2 x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
1 |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y)))) |
1 |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y))) |
(* -1 (/ (pow y 2) (- 2 y))) |
(+ (* -1 (/ (pow y 2) (- 2 y))) (* x (- (+ (* -1 (/ y (- 2 y))) (/ y (- 2 y))) (/ (pow y 2) (pow (- 2 y) 2))))) |
(+ (* -1 (/ (pow y 2) (- 2 y))) (* x (- (+ (* -1 (/ y (- 2 y))) (+ (* x (- (/ 1 (- 2 y)) (* -1 (/ (- (+ (* -1 (/ y (- 2 y))) (/ y (- 2 y))) (/ (pow y 2) (pow (- 2 y) 2))) (- 2 y))))) (/ y (- 2 y)))) (/ (pow y 2) (pow (- 2 y) 2))))) |
(+ (* -1 (/ (pow y 2) (- 2 y))) (* x (- (+ (* -1 (/ y (- 2 y))) (+ (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (* -1 (/ (- (+ (* -1 (/ y (- 2 y))) (/ y (- 2 y))) (/ (pow y 2) (pow (- 2 y) 2))) (- 2 y))))) (- 2 y))) (* -1 (/ (- (+ (* -1 (/ y (- 2 y))) (/ y (- 2 y))) (/ (pow y 2) (pow (- 2 y) 2))) (- 2 y))))) (/ y (- 2 y)))) (/ (pow y 2) (pow (- 2 y) 2))))) |
(* -1 x) |
(* x (- (+ (* -1 (/ (+ y (* -1 y)) x)) (/ y x)) (+ 1 (* 2 (/ 1 x))))) |
(* x (- (+ (* -1 (/ (+ y (* -1 y)) x)) (+ (/ y x) (/ (pow y 2) (pow x 2)))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (+ y (* -1 (+ y (* -1 y)))) 2)) (pow x 2))) (* 2 (/ 1 x)))))) |
(* x (- (+ (* -1 (/ (+ y (* -1 y)) x)) (+ (/ y x) (+ (/ (* (- 2 y) (- (pow y 2) (* -1 (* (- 2 y) (- (+ y (* -1 (+ y (* -1 y)))) 2))))) (pow x 3)) (/ (pow y 2) (pow x 2))))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (+ y (* -1 (+ y (* -1 y)))) 2)) (pow x 2))) (* 2 (/ 1 x)))))) |
(* -1 x) |
(* -1 (* x (- (+ 1 (+ (* -1 (/ y x)) (/ y x))) (* -1 (/ (- 2 y) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- (+ (* -1 (- (+ y (* -1 y)) (* -1 (- 2 y)))) (/ (pow y 2) x)) (/ (* (- 2 y) (- (+ y (* -1 y)) (* -1 (- 2 y)))) x)) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1 (- (+ y (* -1 y)) (* -1 (- 2 y)))) (* -1 (/ (+ (* -1 (- (pow y 2) (* (- 2 y) (- (+ y (* -1 y)) (* -1 (- 2 y)))))) (* -1 (/ (* (- 2 y) (- (pow y 2) (* (- 2 y) (- (+ y (* -1 y)) (* -1 (- 2 y)))))) x))) x))) x))))) |
(/ (pow x 2) (- 2 x)) |
(+ (* y (- (+ (* -1 (/ x (- 2 x))) (/ x (- 2 x))) (* -1 (/ (pow x 2) (pow (- 2 x) 2))))) (/ (pow x 2) (- 2 x))) |
(+ (* y (- (+ (* -1 (* y (+ (* -1 (/ (- (+ (* -1 (/ x (- 2 x))) (/ x (- 2 x))) (* -1 (/ (pow x 2) (pow (- 2 x) 2)))) (- 2 x))) (/ 1 (- 2 x))))) (+ (* -1 (/ x (- 2 x))) (/ x (- 2 x)))) (* -1 (/ (pow x 2) (pow (- 2 x) 2))))) (/ (pow x 2) (- 2 x))) |
(+ (* y (- (+ (* -1 (/ x (- 2 x))) (+ (* y (- (* -1 (* y (+ (* -1 (/ (- (+ (* -1 (/ x (- 2 x))) (/ x (- 2 x))) (* -1 (/ (pow x 2) (pow (- 2 x) 2)))) (pow (- 2 x) 2))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ (- (+ (* -1 (/ x (- 2 x))) (/ x (- 2 x))) (* -1 (/ (pow x 2) (pow (- 2 x) 2)))) (- 2 x))) (/ 1 (- 2 x))))) (/ x (- 2 x)))) (* -1 (/ (pow x 2) (pow (- 2 x) 2))))) (/ (pow x 2) (- 2 x))) |
y |
(* y (- (+ 1 (* -1 (/ (+ x (* -1 x)) y))) (* -1 (/ (- 2 x) y)))) |
(* y (- (+ 1 (+ (* -1 (/ (+ x (* -1 x)) y)) (* -1 (/ (pow x 2) (pow y 2))))) (+ (* -1 (/ (* (- 2 x) (- (* -1 (+ x (* -1 x))) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))) |
(* y (- (+ 1 (+ (* -1 (/ (+ x (* -1 x)) y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ (* (- 2 x) (- (* -1 (pow x 2)) (* -1 (* (- 2 x) (- (* -1 (+ x (* -1 x))) (* -1 (- 2 x))))))) (pow y 3))))) (+ (* -1 (/ (* (- 2 x) (- (* -1 (+ x (* -1 x))) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))) |
y |
(* -1 (* y (- (* -1 (/ (- (+ x (* -1 x)) (* -1 (- 2 x))) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- (+ x (+ (* -1 x) (* -1 (/ (- (pow x 2) (* (- 2 x) (- (+ x (* -1 x)) (* -1 (- 2 x))))) y)))) (* -1 (- 2 x))) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- (+ x (+ (* -1 x) (* -1 (/ (- (+ (/ (* (- 2 x) (- (pow x 2) (* (- 2 x) (- (+ x (* -1 x)) (* -1 (- 2 x)))))) y) (pow x 2)) (* (- 2 x) (- (+ x (* -1 x)) (* -1 (- 2 x))))) y)))) (* -1 (- 2 x))) y)) 1))) |
(* -1 (pow y 2)) |
(+ (* -1 (pow y 2)) (* x (+ y (* -1 y)))) |
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y))))) |
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x)))) |
(pow x 2) |
(+ (* y (+ x (* -1 x))) (pow x 2)) |
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2)) |
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2)) |
(* -1 (pow y 2)) |
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1)) |
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1)) |
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1)) |
(* -1 (pow y 2)) |
(* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1)) |
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1)) |
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) 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))))) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* -1/2 y) |
(+ (* -1/2 y) (* 1/2 x)) |
(+ (* -1/2 y) (* 1/2 x)) |
(+ (* -1/2 y) (* 1/2 x)) |
(* 1/2 x) |
(* x (+ 1/2 (* -1/2 (/ y x)))) |
(* x (+ 1/2 (* -1/2 (/ y x)))) |
(* x (+ 1/2 (* -1/2 (/ y x)))) |
(* 1/2 x) |
(* -1 (* x (- (* 1/2 (/ y x)) 1/2))) |
(* -1 (* x (- (* 1/2 (/ y x)) 1/2))) |
(* -1 (* x (- (* 1/2 (/ y x)) 1/2))) |
(* 1/2 x) |
(+ (* -1/2 y) (* 1/2 x)) |
(+ (* -1/2 y) (* 1/2 x)) |
(+ (* -1/2 y) (* 1/2 x)) |
(* -1/2 y) |
(* y (- (* 1/2 (/ x y)) 1/2)) |
(* y (- (* 1/2 (/ x y)) 1/2)) |
(* y (- (* 1/2 (/ x y)) 1/2)) |
(* -1/2 y) |
(* -1 (* y (+ 1/2 (* -1/2 (/ x y))))) |
(* -1 (* y (+ 1/2 (* -1/2 (/ x y))))) |
(* -1 (* y (+ 1/2 (* -1/2 (/ x y))))) |
(* -1/2 y) |
(* y (- (* -1/4 y) 1/2)) |
(* y (- (* y (- (* -1/8 y) 1/4)) 1/2)) |
(* y (- (* y (- (* y (- (* -1/16 y) 1/8)) 1/4)) 1/2)) |
1 |
(+ 1 (* 2 (/ 1 y))) |
(+ 1 (+ (* 2 (/ 1 y)) (/ 4 (pow y 2)))) |
(+ 1 (+ (* 2 (/ 1 y)) (+ (* 8 (/ 1 (pow y 3))) (/ 4 (pow y 2))))) |
1 |
(+ 1 (* 2 (/ 1 y))) |
(+ 1 (+ (* 2 (/ 1 y)) (/ 4 (pow y 2)))) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 y))) y)) 2) y))) |
-2 |
(- y 2) |
(- y 2) |
(- y 2) |
y |
(* y (- 1 (* 2 (/ 1 y)))) |
(* y (- 1 (* 2 (/ 1 y)))) |
(* y (- 1 (* 2 (/ 1 y)))) |
y |
(* -1 (* y (- (* 2 (/ 1 y)) 1))) |
(* -1 (* y (- (* 2 (/ 1 y)) 1))) |
(* -1 (* y (- (* 2 (/ 1 y)) 1))) |
1 |
(+ 1 (* -1 (/ x y))) |
(+ 1 (* -1 (/ x y))) |
(+ 1 (* -1 (/ x y))) |
(* -1 (/ x y)) |
(* x (- (/ 1 x) (/ 1 y))) |
(* x (- (/ 1 x) (/ 1 y))) |
(* x (- (/ 1 x) (/ 1 y))) |
(* -1 (/ x y)) |
(* -1 (* x (- (/ 1 y) (/ 1 x)))) |
(* -1 (* x (- (/ 1 y) (/ 1 x)))) |
(* -1 (* x (- (/ 1 y) (/ 1 x)))) |
(* -1 (/ x y)) |
(/ (+ y (* -1 x)) y) |
(/ (+ y (* -1 x)) y) |
(/ (+ y (* -1 x)) y) |
1 |
(+ 1 (* -1 (/ x y))) |
(+ 1 (* -1 (/ x y))) |
(+ 1 (* -1 (/ x y))) |
1 |
(+ 1 (* -1 (/ x y))) |
(+ 1 (* -1 (/ x y))) |
(+ 1 (* -1 (/ x 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) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
| Outputs |
|---|
(* -1 (/ y (- 2 y))) |
(/.f64 y (+.f64 y #s(literal -2 binary64))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))))) |
(fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y #s(literal -2 binary64))))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y #s(literal -2 binary64))))) (/.f64 x (-.f64 #s(literal 2 binary64) y)) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y #s(literal -2 binary64)))))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(fma.f64 x (+.f64 (fma.f64 x (fma.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y #s(literal -2 binary64))))) (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y #s(literal -2 binary64))))) (-.f64 #s(literal 2 binary64) y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y))) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y #s(literal -2 binary64))))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) |
-1 |
#s(literal -1 binary64) |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64)) |
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(fma.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (*.f64 x x)) (+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64))) |
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) |
(fma.f64 (-.f64 #s(literal 2 binary64) y) (*.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (*.f64 x (*.f64 x x)))) (fma.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (*.f64 x x)) (+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64)))) |
-1 |
#s(literal -1 binary64) |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64)) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64))) x)) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (/.f64 (fma.f64 (-.f64 #s(literal 2 binary64) y) (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (*.f64 (-.f64 #s(literal 2 binary64) y) (*.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x)))) x)) x)) |
(/ x (- 2 x)) |
(/.f64 x (-.f64 #s(literal 2 binary64) x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(-.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (fma.f64 y (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -2 binary64)))) (/.f64 y (-.f64 #s(literal 2 binary64) x)))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 y (-.f64 (-.f64 (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x))) (fma.f64 y (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -2 binary64))))) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 y (fma.f64 y (+.f64 (fma.f64 y (/.f64 x (*.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)) (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)))) (neg.f64 (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)))))) (-.f64 (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))))) (-.f64 (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) y)) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y))) |
(+.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) (*.f64 y y)) (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y)))) |
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(* y (- (* -1/4 y) 1/2)) |
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64))) |
(* y (- (* y (- (* -1/8 y) 1/4)) 1/2)) |
(*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/8 binary64) #s(literal -1/4 binary64)) #s(literal -1/2 binary64))) |
(* y (- (* y (- (* y (- (* -1/16 y) 1/8)) 1/4)) 1/2)) |
(*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/16 binary64) #s(literal -1/8 binary64)) #s(literal -1/4 binary64)) #s(literal -1/2 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y)) |
(+ 1 (+ (* 2 (/ 1 y)) (/ 4 (pow y 2)))) |
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 #s(literal 4 binary64) (*.f64 y y)))) |
(+ 1 (+ (* 2 (/ 1 y)) (+ (* 8 (/ 1 (pow y 3))) (/ 4 (pow y 2))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y)) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 y y)) (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y)) |
(+ 1 (+ (* 2 (/ 1 y)) (/ 4 (pow y 2)))) |
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 #s(literal 4 binary64) (*.f64 y y)))) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 y))) y)) 2) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) y)) y)) y)) |
-2 |
#s(literal -2 binary64) |
(- y 2) |
(+.f64 y #s(literal -2 binary64)) |
(- y 2) |
(+.f64 y #s(literal -2 binary64)) |
(- y 2) |
(+.f64 y #s(literal -2 binary64)) |
y |
(* y (- 1 (* 2 (/ 1 y)))) |
(fma.f64 y (/.f64 #s(literal -2 binary64) y) y) |
(* y (- 1 (* 2 (/ 1 y)))) |
(fma.f64 y (/.f64 #s(literal -2 binary64) y) y) |
(* y (- 1 (* 2 (/ 1 y)))) |
(fma.f64 y (/.f64 #s(literal -2 binary64) y) y) |
y |
(* -1 (* y (- (* 2 (/ 1 y)) 1))) |
(fma.f64 y (/.f64 #s(literal -2 binary64) y) y) |
(* -1 (* y (- (* 2 (/ 1 y)) 1))) |
(fma.f64 y (/.f64 #s(literal -2 binary64) y) y) |
(* -1 (* y (- (* 2 (/ 1 y)) 1))) |
(fma.f64 y (/.f64 #s(literal -2 binary64) y) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ x y))) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(+ 1 (* -1 (/ x y))) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(+ 1 (* -1 (/ x y))) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(* -1 (/ x y)) |
(/.f64 x (neg.f64 y)) |
(* x (- (/ 1 x) (/ 1 y))) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(* x (- (/ 1 x) (/ 1 y))) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(* x (- (/ 1 x) (/ 1 y))) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(* -1 (/ x y)) |
(/.f64 x (neg.f64 y)) |
(* -1 (* x (- (/ 1 y) (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(* -1 (* x (- (/ 1 y) (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(* -1 (* x (- (/ 1 y) (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(* -1 (/ x y)) |
(/.f64 x (neg.f64 y)) |
(/ (+ y (* -1 x)) y) |
(/.f64 (-.f64 y x) y) |
(/ (+ y (* -1 x)) y) |
(/.f64 (-.f64 y x) y) |
(/ (+ y (* -1 x)) y) |
(/.f64 (-.f64 y x) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ x y))) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(+ 1 (* -1 (/ x y))) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(+ 1 (* -1 (/ x y))) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ x y))) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(+ 1 (* -1 (/ x y))) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(+ 1 (* -1 (/ x y))) |
(-.f64 #s(literal 1 binary64) (/.f64 x 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) |
y |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
x |
(* x (+ 1 (/ y x))) |
(fma.f64 x (/.f64 y x) x) |
(* x (+ 1 (/ y x))) |
(fma.f64 x (/.f64 y x) x) |
(* x (+ 1 (/ y x))) |
(fma.f64 x (/.f64 y x) x) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 x (/.f64 y x) x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 x (/.f64 y x) x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 x (/.f64 y x) x) |
x |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
y |
(* y (+ 1 (/ x y))) |
(fma.f64 y (/.f64 x y) y) |
(* y (+ 1 (/ x y))) |
(fma.f64 y (/.f64 x y) y) |
(* y (+ 1 (/ x y))) |
(fma.f64 y (/.f64 x y) y) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(fma.f64 y (/.f64 x y) y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(fma.f64 y (/.f64 x y) y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(fma.f64 y (/.f64 x y) y) |
Compiled 33 738 to 3 289 computations (90.3% saved)
20 alts after pruning (10 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 358 | 5 | 1 363 |
| Fresh | 0 | 5 | 5 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 7 | 8 |
| Total | 1 361 | 20 | 1 381 |
| Status | Accuracy | Program |
|---|---|---|
| 63.4% | (/.f64 (fma.f64 y (/.f64 (-.f64 #s(literal 2 binary64) x) y) y) (+.f64 x y)) | |
| 29.5% | (/.f64 (/.f64 (*.f64 y (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (+.f64 x y)) | |
| 34.5% | (/.f64 (-.f64 y x) y) | |
| 38.9% | (/.f64 (-.f64 y x) x) | |
| ✓ | 100.0% | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| ✓ | 66.6% | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x)) |
| 39.3% | (/.f64 (neg.f64 x) (+.f64 x y)) | |
| ✓ | 47.3% | (/.f64 y (+.f64 y #s(literal -2 binary64))) |
| ✓ | 53.4% | (/.f64 x (-.f64 #s(literal 2 binary64) x)) |
| 38.9% | (+.f64 (/.f64 y x) #s(literal -1 binary64)) | |
| 34.7% | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -2 binary64)) y)) | |
| 36.1% | (*.f64 (/.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x x))) (+.f64 #s(literal 2 binary64) x)) | |
| ✓ | 99.8% | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) |
| ✓ | 29.2% | (*.f64 (-.f64 x y) #s(literal 1/2 binary64)) |
| 15.0% | (*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64))) | |
| 15.3% | (*.f64 y #s(literal -1/2 binary64)) | |
| ✓ | 16.0% | (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))) |
| ✓ | 16.5% | (*.f64 x #s(literal 1/2 binary64)) |
| ✓ | 34.2% | #s(literal 1 binary64) |
| ✓ | 38.8% | #s(literal -1 binary64) |
Compiled 371 to 183 computations (50.7% saved)
| Inputs |
|---|
#s(literal -1 binary64) |
#s(literal 1 binary64) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 y #s(literal -1/2 binary64)) |
(*.f64 (-.f64 x y) #s(literal 1/2 binary64)) |
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))) |
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64))) |
(+.f64 (/.f64 y x) #s(literal -1 binary64)) |
(/.f64 x (-.f64 #s(literal 2 binary64) x)) |
(/.f64 y (+.f64 y #s(literal -2 binary64))) |
(/.f64 (-.f64 x y) #s(literal 2 binary64)) |
(/.f64 (-.f64 y x) x) |
(/.f64 (-.f64 y x) y) |
(/.f64 (neg.f64 x) (+.f64 x y)) |
(/.f64 (-.f64 x y) (neg.f64 x)) |
(/.f64 (-.f64 x y) (neg.f64 y)) |
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x)) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -2 binary64)) y)) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) y)) |
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) |
(*.f64 (/.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x x))) (+.f64 #s(literal 2 binary64) x)) |
(/.f64 (fma.f64 y (/.f64 (-.f64 #s(literal 2 binary64) x) y) y) (+.f64 x y)) |
(/.f64 (fma.f64 y (/.f64 x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
(/.f64 (/.f64 (*.f64 y (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (+.f64 x y)) |
(/.f64 (*.f64 (-.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) |
(/.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (+.f64 x y)) |
| Outputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
3 calls:
| 11.0ms | x |
| 9.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| 8.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
Compiled 17 to 11 computations (35.3% saved)
| Inputs |
|---|
#s(literal -1 binary64) |
#s(literal 1 binary64) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 y #s(literal -1/2 binary64)) |
(*.f64 (-.f64 x y) #s(literal 1/2 binary64)) |
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))) |
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64))) |
(+.f64 (/.f64 y x) #s(literal -1 binary64)) |
(/.f64 x (-.f64 #s(literal 2 binary64) x)) |
(/.f64 y (+.f64 y #s(literal -2 binary64))) |
(/.f64 (-.f64 x y) #s(literal 2 binary64)) |
(/.f64 (-.f64 y x) x) |
(/.f64 (-.f64 y x) y) |
(/.f64 (neg.f64 x) (+.f64 x y)) |
(/.f64 (-.f64 x y) (neg.f64 x)) |
(/.f64 (-.f64 x y) (neg.f64 y)) |
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x)) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -2 binary64)) y)) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) y)) |
| Outputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x)) |
(/.f64 y (+.f64 y #s(literal -2 binary64))) |
3 calls:
| 8.0ms | x |
| 6.0ms | y |
| 5.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.7% | 3 | x |
| 87.0% | 3 | y |
| 98.5% | 2 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
Compiled 17 to 11 computations (35.3% saved)
| Inputs |
|---|
#s(literal -1 binary64) |
#s(literal 1 binary64) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 y #s(literal -1/2 binary64)) |
(*.f64 (-.f64 x y) #s(literal 1/2 binary64)) |
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))) |
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64))) |
(+.f64 (/.f64 y x) #s(literal -1 binary64)) |
(/.f64 x (-.f64 #s(literal 2 binary64) x)) |
(/.f64 y (+.f64 y #s(literal -2 binary64))) |
(/.f64 (-.f64 x y) #s(literal 2 binary64)) |
(/.f64 (-.f64 y x) x) |
(/.f64 (-.f64 y x) y) |
(/.f64 (neg.f64 x) (+.f64 x y)) |
(/.f64 (-.f64 x y) (neg.f64 x)) |
(/.f64 (-.f64 x y) (neg.f64 y)) |
| Outputs |
|---|
(/.f64 x (-.f64 #s(literal 2 binary64) x)) |
(*.f64 (-.f64 x y) #s(literal 1/2 binary64)) |
(/.f64 y (+.f64 y #s(literal -2 binary64))) |
1 calls:
| 5.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.7% | 3 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
Compiled 11 to 7 computations (36.4% saved)
| Inputs |
|---|
#s(literal -1 binary64) |
#s(literal 1 binary64) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 y #s(literal -1/2 binary64)) |
(*.f64 (-.f64 x y) #s(literal 1/2 binary64)) |
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))) |
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64))) |
(+.f64 (/.f64 y x) #s(literal -1 binary64)) |
(/.f64 x (-.f64 #s(literal 2 binary64) x)) |
| Outputs |
|---|
(/.f64 x (-.f64 #s(literal 2 binary64) x)) |
(*.f64 (-.f64 x y) #s(literal 1/2 binary64)) |
#s(literal 1 binary64) |
1 calls:
| 3.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.1% | 3 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
Compiled 11 to 7 computations (36.4% saved)
| Inputs |
|---|
#s(literal -1 binary64) |
#s(literal 1 binary64) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 y #s(literal -1/2 binary64)) |
(*.f64 (-.f64 x y) #s(literal 1/2 binary64)) |
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))) |
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64))) |
(+.f64 (/.f64 y x) #s(literal -1 binary64)) |
| Outputs |
|---|
(+.f64 (/.f64 y x) #s(literal -1 binary64)) |
(*.f64 (-.f64 x y) #s(literal 1/2 binary64)) |
#s(literal 1 binary64) |
1 calls:
| 5.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.0% | 3 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
Compiled 11 to 7 computations (36.4% saved)
| Inputs |
|---|
#s(literal -1 binary64) |
#s(literal 1 binary64) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 y #s(literal -1/2 binary64)) |
(*.f64 (-.f64 x y) #s(literal 1/2 binary64)) |
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))) |
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64))) |
| Outputs |
|---|
#s(literal -1 binary64) |
(*.f64 (-.f64 x y) #s(literal 1/2 binary64)) |
#s(literal 1 binary64) |
1 calls:
| 3.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.0% | 3 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
Compiled 11 to 7 computations (36.4% saved)
| Inputs |
|---|
#s(literal -1 binary64) |
#s(literal 1 binary64) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 y #s(literal -1/2 binary64)) |
| Outputs |
|---|
#s(literal -1 binary64) |
(*.f64 x #s(literal 1/2 binary64)) |
#s(literal 1 binary64) |
2 calls:
| 2.0ms | y |
| 2.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.2% | 3 | y |
| 82.9% | 3 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
Compiled 14 to 9 computations (35.7% saved)
| Inputs |
|---|
#s(literal -1 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
#s(literal -1 binary64) |
#s(literal 1 binary64) |
2 calls:
| 2.0ms | x |
| 1.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.4% | 3 | x |
| 71.3% | 2 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
Compiled 14 to 9 computations (35.7% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(literal -1 binary64) |
| Outputs |
|---|
#s(literal -1 binary64) |
3 calls:
| 3.0ms | y |
| 1.0ms | x |
| 1.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 38.8% | 1 | y |
| 38.8% | 1 | x |
| 38.8% | 1 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
Compiled 17 to 11 computations (35.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0006286458676162605 | 0.9999999998557489 |
Compiled 14 to 12 computations (14.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0006286458676162605 | 0.9999999998557489 |
| 0.0ms | -8.195769830011447e-7 | -2.9187319221625785e-7 |
Compiled 14 to 12 computations (14.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0006286458676162605 | 0.9999999998557489 |
| 0.0ms | -8.195769830011447e-7 | -2.9187319221625785e-7 |
Compiled 14 to 12 computations (14.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0006286458676162605 | 0.9999999998557489 |
| 0.0ms | -0.6655268389722474 | -0.004604535628132865 |
Compiled 14 to 12 computations (14.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0006286458676162605 | 0.9999999998557489 |
| 0.0ms | -0.6655268389722474 | -0.004604535628132865 |
Compiled 14 to 12 computations (14.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0006286458676162605 | 0.9999999998557489 |
| 0.0ms | -0.6655268389722474 | -0.004604535628132865 |
Compiled 14 to 12 computations (14.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | -5.59554645228472e-273 | 5.592912435280434e-237 |
| 4.0ms | 208× | 0 | valid |
Compiled 118 to 116 computations (1.7% saved)
ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 18× | +-commutative_binary64 |
| 12× | sub-neg_binary64 |
| 10× | *-commutative_binary64 |
| 6× | neg-sub0_binary64 |
| 6× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 217 |
| 1 | 52 | 217 |
| 2 | 63 | 217 |
| 3 | 71 | 217 |
| 4 | 74 | 217 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1152921504606847/1152921504606846976 binary64)) (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x)) (/.f64 y (+.f64 y #s(literal -2 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -4722366482869645/9444732965739290427392 binary64)) (/.f64 x (-.f64 #s(literal 2 binary64) x)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1152921504606847/1152921504606846976 binary64)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64)) (/.f64 y (+.f64 y #s(literal -2 binary64))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -4722366482869645/9444732965739290427392 binary64)) (/.f64 x (-.f64 #s(literal 2 binary64) x)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1152921504606847/1152921504606846976 binary64)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) (+.f64 (/.f64 y x) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1152921504606847/1152921504606846976 binary64)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) #s(literal -1 binary64) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1152921504606847/1152921504606846976 binary64)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) #s(literal -1 binary64) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1152921504606847/1152921504606846976 binary64)) (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) |
#s(literal -1 binary64) |
| Outputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1152921504606847/1152921504606846976 binary64)) (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x)) (/.f64 y (+.f64 y #s(literal -2 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -4722366482869645/9444732965739290427392 binary64)) (/.f64 x (-.f64 #s(literal 2 binary64) x)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1152921504606847/1152921504606846976 binary64)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64)) (/.f64 y (+.f64 y #s(literal -2 binary64))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -4722366482869645/9444732965739290427392 binary64)) (/.f64 x (-.f64 #s(literal 2 binary64) x)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1152921504606847/1152921504606846976 binary64)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) (+.f64 (/.f64 y x) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1152921504606847/1152921504606846976 binary64)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) #s(literal -1 binary64) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1152921504606847/1152921504606846976 binary64)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) #s(literal -1 binary64) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1152921504606847/1152921504606846976 binary64)) (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) |
#s(literal -1 binary64) |
| 12 038× | lower-fma.f64 |
| 12 038× | lower-fma.f32 |
| 8 920× | lower-fma.f64 |
| 8 920× | lower-fma.f32 |
| 6 352× | lower-fma.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 406 | 2057 |
| 1 | 1245 | 1928 |
| 2 | 3733 | 1818 |
| 0 | 8325 | 1739 |
| 0 | 20 | 70 |
| 0 | 36 | 70 |
| 1 | 182 | 70 |
| 0 | 1572 | 67 |
| 0 | 186 | 985 |
| 1 | 571 | 921 |
| 2 | 1809 | 857 |
| 3 | 7607 | 851 |
| 0 | 8573 | 806 |
| 0 | 14 | 52 |
| 0 | 24 | 52 |
| 1 | 109 | 50 |
| 2 | 899 | 49 |
| 0 | 8737 | 49 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 402 to 174 computations (56.7% saved)
Compiled 494 to 106 computations (78.5% saved)
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