
Time bar (total: 8.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 4 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 5 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 6 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 7 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 8 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 9 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 10 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 11 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 9 to 8 computations (11.1% saved)
| 350.0ms | 8 252× | 0 | valid |
| 0.0ms | 3× | 1 | valid |
| 0.0ms | 1× | 2 | valid |
ival-sub: 87.0ms (56% of total)ival-div: 55.0ms (35.4% of total)ival-true: 6.0ms (3.9% of total)exact: 5.0ms (3.2% of total)ival-assert: 3.0ms (1.9% of total)adjust: 0.0ms (0% of total)| 1× | egg-herbie |
| 288× | lower-fma.f64 |
| 288× | lower-fma.f32 |
| 234× | div-sub |
| 230× | unsub-neg |
| 200× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 43 |
| 1 | 51 | 38 |
| 2 | 125 | 36 |
| 3 | 356 | 35 |
| 4 | 800 | 35 |
| 5 | 1265 | 35 |
| 6 | 1477 | 35 |
| 7 | 1555 | 35 |
| 8 | 1613 | 35 |
| 9 | 1626 | 35 |
| 0 | 6 | 7 |
| 0 | 9 | 7 |
| 1 | 17 | 7 |
| 2 | 24 | 7 |
| 3 | 39 | 7 |
| 4 | 72 | 7 |
| 5 | 139 | 7 |
| 6 | 318 | 7 |
| 7 | 544 | 7 |
| 8 | 697 | 7 |
| 9 | 713 | 7 |
| 10 | 714 | 7 |
| 0 | 714 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| Outputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 (-.f64 y x) (+.f64 y #s(literal -1 binary64))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) y) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (-.f64 x y) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 34.0ms | 512× | 0 | valid |
Compiled 54 to 28 computations (48.1% saved)
ival-sub: 5.0ms (54% of total)ival-div: 3.0ms (32.4% 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 1 binary64) y)) |
Compiled 9 to 6 computations (33.3% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) y) |
| ✓ | cost-diff | 0 | (-.f64 x y) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 288× | lower-fma.f64 |
| 288× | lower-fma.f32 |
| 176× | lower-*.f64 |
| 176× | lower-*.f32 |
| 142× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 16 |
| 0 | 9 | 16 |
| 1 | 17 | 16 |
| 2 | 24 | 16 |
| 3 | 39 | 16 |
| 4 | 72 | 16 |
| 5 | 139 | 16 |
| 6 | 318 | 16 |
| 7 | 544 | 16 |
| 8 | 697 | 16 |
| 9 | 713 | 16 |
| 10 | 714 | 16 |
| 0 | 714 | 16 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
(-.f64 x y) |
x |
y |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 (-.f64 y x) (+.f64 y #s(literal -1 binary64))) |
(-.f64 x y) |
x |
y |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (-.f64 x y) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) y) |
| ✓ | accuracy | 100.0% | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 11.0ms | 256× | 0 | valid |
Compiled 18 to 8 computations (55.6% saved)
ival-sub: 2.0ms (42.8% of total)ival-div: 2.0ms (42.8% 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 x y) (-.f64 #s(literal 1 binary64) y))> |
#<alt (-.f64 x y)> |
#<alt (-.f64 #s(literal 1 binary64) y)> |
| Outputs |
|---|
#<alt (* -1 (/ y (- 1 y)))> |
#<alt (+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))> |
#<alt (+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))> |
#<alt (+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))> |
#<alt (/ x (- 1 y))> |
#<alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))> |
#<alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))> |
#<alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))> |
#<alt (/ x (- 1 y))> |
#<alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))> |
#<alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))> |
#<alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))> |
#<alt x> |
#<alt (+ x (* -1 (* y (+ 1 (* -1 x)))))> |
#<alt (+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))> |
#<alt (+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))> |
#<alt 1> |
#<alt (+ 1 (+ (* -1 (/ x y)) (/ 1 y)))> |
#<alt (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2))))))> |
#<alt (- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2))))> |
#<alt 1> |
#<alt (+ 1 (* -1 (/ (- x 1) y)))> |
#<alt (+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y)))> |
#<alt (+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) 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> |
#<alt (+ 1 (* -1 y))> |
#<alt (+ 1 (* -1 y))> |
#<alt (+ 1 (* -1 y))> |
#<alt (* -1 y)> |
#<alt (* y (- (/ 1 y) 1))> |
#<alt (* y (- (/ 1 y) 1))> |
#<alt (* y (- (/ 1 y) 1))> |
#<alt (* -1 y)> |
#<alt (* -1 (* y (- 1 (/ 1 y))))> |
#<alt (* -1 (* y (- 1 (/ 1 y))))> |
#<alt (* -1 (* y (- 1 (/ 1 y))))> |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/ (- x y) (- 1 y)) |
| 1.0ms | y | @ | -inf | (/ (- x y) (- 1 y)) |
| 1.0ms | x | @ | inf | (/ (- x y) (- 1 y)) |
| 0.0ms | x | @ | 0 | (/ (- x y) (- 1 y)) |
| 0.0ms | y | @ | inf | (/ (- x y) (- 1 y)) |
| 1× | batch-egg-rewrite |
| 4 514× | lower-*.f64 |
| 4 514× | lower-*.f32 |
| 3 690× | lower-fma.f64 |
| 3 690× | lower-fma.f32 |
| 3 320× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 13 |
| 0 | 9 | 13 |
| 1 | 47 | 13 |
| 2 | 356 | 13 |
| 3 | 4967 | 13 |
| 0 | 9356 | 13 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
(-.f64 x y) |
(-.f64 #s(literal 1 binary64) y) |
| Outputs |
|---|
(+.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) (/.f64 y (+.f64 y #s(literal -1 binary64)))) |
(+.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64))))) |
(+.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (neg.f64 y))) |
(+.f64 (/.f64 y (+.f64 y #s(literal -1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64)))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (neg.f64 y)) (/.f64 x (+.f64 y #s(literal 1 binary64)))) |
(+.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (fma.f64 y y y))) |
(+.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (fma.f64 y y y)) (*.f64 (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64))) (*.f64 (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) y)) |
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y y))) y) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y y))) y)) |
(+.f64 (*.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 y (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (*.f64 (fma.f64 y y y) (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))))) |
(+.f64 (*.f64 (fma.f64 y y y) (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))))) |
(+.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (*.f64 y (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))))) |
(+.f64 (*.f64 y (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y y))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (*.f64 y (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y y))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 x y))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) |
(-.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 y (+.f64 x y)))) (+.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 y y) (/.f64 y (fma.f64 x x (*.f64 y (+.f64 x y))))) (+.f64 y #s(literal 1 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (+.f64 y #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 y y) (+.f64 x y)) (+.f64 y #s(literal 1 binary64)))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 x x (*.f64 y (+.f64 x y))))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 x x (*.f64 y (+.f64 x y)))))) |
(-.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 x y))) (/.f64 (*.f64 y y) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 x y)))) |
(-.f64 (/.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (/.f64 (fma.f64 y y y) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))))) |
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))) (+.f64 y #s(literal 1 binary64)))) (fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 x y)) (/.f64 (*.f64 x x) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))))) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))) (+.f64 y #s(literal 1 binary64)))) (fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 x y)) (/.f64 (*.f64 x x) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))))))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 x y))) (/.f64 (/.f64 (*.f64 y y) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 x y)))) |
(fma.f64 x (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (/.f64 y (+.f64 y #s(literal -1 binary64)))) |
(fma.f64 x (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64))))) |
(fma.f64 x (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (neg.f64 y))) |
(fma.f64 y (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64)))) |
(fma.f64 y (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y y))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 x (+.f64 y #s(literal 1 binary64))) (/.f64 y (+.f64 y #s(literal -1 binary64)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 x (+.f64 y #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 x (+.f64 y #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (neg.f64 y))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (*.f64 (fma.f64 y y y) (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 y (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y y))))) |
(fma.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 y (+.f64 y #s(literal -1 binary64)))) |
(fma.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64))))) |
(fma.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (neg.f64 y))) |
(fma.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64) (*.f64 (/.f64 y (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 y y y) (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))))) |
(fma.f64 (+.f64 y (fma.f64 y y #s(literal 1 binary64))) (/.f64 x (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 y (+.f64 y #s(literal -1 binary64)))) |
(fma.f64 (+.f64 y (fma.f64 y y #s(literal 1 binary64))) (/.f64 x (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64))))) |
(fma.f64 (+.f64 y (fma.f64 y y #s(literal 1 binary64))) (/.f64 x (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (neg.f64 y))) |
(fma.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64)))) |
(fma.f64 #s(literal -1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64)))) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 y (+.f64 y #s(literal -1 binary64)))) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64))))) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (neg.f64 y))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x (/.f64 y (+.f64 y #s(literal -1 binary64)))) |
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(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) |
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))) (neg.f64 (+.f64 y (fma.f64 y y #s(literal 1 binary64))))) |
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))) (*.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y (fma.f64 y y #s(literal 1 binary64)))))) |
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (+.f64 y #s(literal -1 binary64))) |
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (*.f64 (+.f64 y (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (*.f64 (+.f64 y (fma.f64 y y #s(literal 1 binary64))) (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (*.f64 (+.f64 y (fma.f64 y y #s(literal 1 binary64))) (*.f64 y (*.f64 y y)))) (*.f64 (+.f64 y (fma.f64 y y #s(literal 1 binary64))) (+.f64 y (fma.f64 y y #s(literal 1 binary64))))) |
(/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 y y))) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 y (fma.f64 y y #s(literal 1 binary64))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal 1 binary64)) (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (+.f64 y (fma.f64 y y #s(literal 1 binary64))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) (neg.f64 (neg.f64 (+.f64 y (fma.f64 y y #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y))) (+.f64 y #s(literal 1 binary64))) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 y (fma.f64 y y #s(literal 1 binary64))) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (+.f64 y (fma.f64 y y #s(literal 1 binary64))))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 (+.f64 y (fma.f64 y y #s(literal 1 binary64))) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (fma.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (/.f64 (*.f64 y (*.f64 y y)) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (/.f64 (*.f64 y (*.f64 y y)) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))))))) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))) (+.f64 y #s(literal 1 binary64)))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))) (+.f64 y #s(literal 1 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (fma.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))))))) |
(/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (+.f64 y #s(literal -1 binary64))) |
(/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 (neg.f64 y) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64))))) (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (/.f64 (*.f64 y (*.f64 y y)) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (/.f64 (*.f64 y (*.f64 y y)) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))))) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (*.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64))))) (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64))))) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))) (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))) (fma.f64 y y #s(literal 1 binary64))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64))))) |
(pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) |
(*.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64))))) |
(*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (+.f64 y #s(literal -1 binary64))) |
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y (fma.f64 y y #s(literal 1 binary64)))))) |
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 y y))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 y #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) (neg.f64 (+.f64 y (fma.f64 y y #s(literal 1 binary64))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 #s(literal -1 binary64) (*.f64 y y))) (+.f64 y #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (fma.f64 (fma.f64 y y y) (*.f64 (fma.f64 y y y) (fma.f64 y y y)) #s(literal 1 binary64))) (fma.f64 (fma.f64 y y y) (-.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y y) (fma.f64 y y y)))) (-.f64 #s(literal 1 binary64) (fma.f64 y y y))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64))))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y (fma.f64 y y #s(literal 1 binary64)))))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y (fma.f64 y y #s(literal 1 binary64)))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (+.f64 y (fma.f64 y y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (+.f64 y (fma.f64 y y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) |
| 1× | egg-herbie |
| 13 832× | lower-fma.f64 |
| 13 832× | lower-fma.f32 |
| 2 816× | lower-*.f64 |
| 2 816× | lower-*.f32 |
| 2 668× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 96 | 384 |
| 1 | 281 | 358 |
| 2 | 788 | 338 |
| 3 | 2735 | 311 |
| 4 | 7419 | 311 |
| 0 | 8107 | 302 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ y (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(/ x (- 1 y)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(/ x (- 1 y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
1 |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
1 |
(+ 1 (* -1 (/ (- x 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
(* -1 y) |
(- x y) |
(- x y) |
(- x y) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
x |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
x |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(* -1 y) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* -1 y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
| Outputs |
|---|
(* -1 (/ y (- 1 y))) |
(/.f64 y (+.f64 #s(literal -1 binary64) y)) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) y)) (-.f64 x y)) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) y)) (-.f64 x y)) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) y)) (-.f64 x y)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) y)) (-.f64 x y)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) y)) (-.f64 x y)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) y)) (-.f64 x y)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) y)) (-.f64 x y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) y)) (-.f64 x y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) y)) (-.f64 x y)) |
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(-.f64 (fma.f64 y x x) y) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 y (*.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y (+.f64 y #s(literal 1 binary64)))) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (+.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- x 1) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x)) y)) |
(* -1 y) |
(neg.f64 y) |
(- x y) |
(-.f64 x y) |
(- x y) |
(-.f64 x y) |
(- x y) |
(-.f64 x y) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(-.f64 x y) |
(* x (+ 1 (* -1 (/ y x)))) |
(-.f64 x y) |
(* x (+ 1 (* -1 (/ y x)))) |
(-.f64 x y) |
x |
(* -1 (* x (- (/ y x) 1))) |
(-.f64 x y) |
(* -1 (* x (- (/ y x) 1))) |
(-.f64 x y) |
(* -1 (* x (- (/ y x) 1))) |
(-.f64 x y) |
x |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ x y) 1)) |
(-.f64 x y) |
(* y (- (/ x y) 1)) |
(-.f64 x y) |
(* y (- (/ x y) 1)) |
(-.f64 x y) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 x y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 x y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 x y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
Compiled 12 494 to 1 307 computations (89.5% saved)
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 541 | 8 | 549 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 542 | 8 | 550 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 49.8% | (fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x) |
| 51.4% | (/.f64 (-.f64 x y) (neg.f64 y)) | |
| ▶ | 70.3% | (/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) |
| 51.5% | (/.f64 y (+.f64 #s(literal -1 binary64) y)) | |
| ▶ | 50.7% | (/.f64 x (-.f64 #s(literal 1 binary64) y)) |
| 49.4% | (-.f64 (fma.f64 y x x) y) | |
| ▶ | 51.2% | (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
| ▶ | 38.3% | #s(literal 1 binary64) |
Compiled 136 to 86 computations (36.8% saved)
| 1× | egg-herbie |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) x) y) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
| ✓ | cost-diff | 0 | (fma.f64 y y y) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal -1 binary64) x) |
| ✓ | cost-diff | 0 | (fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) y) |
| ✓ | cost-diff | 0 | (/.f64 x (-.f64 #s(literal 1 binary64) y)) |
| ✓ | cost-diff | 0 | (+.f64 y #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 x y) |
| ✓ | cost-diff | 0 | (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| ✓ | cost-diff | 512 | (/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) |
| 11 488× | lower-fma.f32 |
| 11 484× | lower-fma.f64 |
| 2 460× | lower-*.f32 |
| 2 456× | lower-*.f64 |
| 2 400× | lower--.f32 |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 86 |
| 0 | 33 | 86 |
| 1 | 69 | 86 |
| 2 | 147 | 86 |
| 3 | 414 | 86 |
| 4 | 1045 | 86 |
| 5 | 2636 | 86 |
| 6 | 5554 | 82 |
| 0 | 8456 | 82 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) |
(*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) |
(-.f64 x y) |
x |
y |
(+.f64 y #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(-.f64 #s(literal 1 binary64) (*.f64 y y)) |
(*.f64 y y) |
#s(literal 1 binary64) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
x |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x) |
(+.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
(fma.f64 y y y) |
y |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
#s(literal 1 binary64) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(-.f64 #s(literal 1 binary64) x) |
x |
y |
| Outputs |
|---|
(/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) |
(*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) |
(-.f64 x y) |
x |
y |
(+.f64 y #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(-.f64 #s(literal 1 binary64) (*.f64 y y)) |
(*.f64 y y) |
#s(literal 1 binary64) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
x |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x) |
(fma.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 y y y) x) |
(+.f64 #s(literal -1 binary64) x) |
(+.f64 x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
x |
(fma.f64 y y y) |
y |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
#s(literal 1 binary64) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(-.f64 #s(literal 1 binary64) x) |
x |
y |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
| ✓ | accuracy | 100.0% | (/.f64 (-.f64 #s(literal 1 binary64) x) y) |
| ✓ | accuracy | 100.0% | (fma.f64 y y y) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal -1 binary64) x) |
| ✓ | accuracy | 100.0% | (fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) y) |
| ✓ | accuracy | 100.0% | (/.f64 x (-.f64 #s(literal 1 binary64) y)) |
| ✓ | accuracy | 100.0% | (+.f64 y #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 y y) |
| ✓ | accuracy | 100.0% | (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| ✓ | accuracy | 71.2% | (/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) |
| 36.0ms | 256× | 0 | valid |
Compiled 91 to 21 computations (76.9% saved)
ival-add: 7.0ms (32.6% of total)ival-sub: 5.0ms (23.3% of total)ival-div: 5.0ms (23.3% of total)ival-mult: 4.0ms (18.6% 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 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y)))> |
#<alt (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64)))> |
#<alt (-.f64 x y)> |
#<alt (+.f64 y #s(literal 1 binary64))> |
#<alt (/.f64 x (-.f64 #s(literal 1 binary64) y))> |
#<alt (-.f64 #s(literal 1 binary64) y)> |
#<alt (fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x)> |
#<alt (+.f64 #s(literal -1 binary64) x)> |
#<alt (fma.f64 y y y)> |
#<alt (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))> |
#<alt (/.f64 (-.f64 #s(literal 1 binary64) x) y)> |
#<alt (-.f64 #s(literal 1 binary64) x)> |
#<alt (*.f64 y y)> |
| Outputs |
|---|
#<alt (* -1 (/ (* y (+ 1 y)) (- 1 (pow y 2))))> |
#<alt (+ (* -1 (/ (* y (+ 1 y)) (- 1 (pow y 2)))) (* x (+ (/ 1 (- 1 (pow y 2))) (/ y (- 1 (pow y 2))))))> |
#<alt (+ (* -1 (/ (* y (+ 1 y)) (- 1 (pow y 2)))) (* x (+ (/ 1 (- 1 (pow y 2))) (/ y (- 1 (pow y 2))))))> |
#<alt (+ (* -1 (/ (* y (+ 1 y)) (- 1 (pow y 2)))) (* x (+ (/ 1 (- 1 (pow y 2))) (/ y (- 1 (pow y 2))))))> |
#<alt (/ (* x (+ 1 y)) (- 1 (pow y 2)))> |
#<alt (* x (+ (* -1 (/ (* y (+ 1 y)) (* x (- 1 (pow y 2))))) (+ (/ 1 (- 1 (pow y 2))) (/ y (- 1 (pow y 2))))))> |
#<alt (* x (+ (* -1 (/ (* y (+ 1 y)) (* x (- 1 (pow y 2))))) (+ (/ 1 (- 1 (pow y 2))) (/ y (- 1 (pow y 2))))))> |
#<alt (* x (+ (* -1 (/ (* y (+ 1 y)) (* x (- 1 (pow y 2))))) (+ (/ 1 (- 1 (pow y 2))) (/ y (- 1 (pow y 2))))))> |
#<alt (/ (* x (+ 1 y)) (- 1 (pow y 2)))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ 1 y) (- 1 (pow y 2)))) (/ (* y (+ 1 y)) (* x (- 1 (pow y 2)))))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ 1 y) (- 1 (pow y 2)))) (/ (* y (+ 1 y)) (* x (- 1 (pow y 2)))))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ 1 y) (- 1 (pow y 2)))) (/ (* y (+ 1 y)) (* x (- 1 (pow y 2)))))))> |
#<alt x> |
#<alt (+ x (* y (- x 1)))> |
#<alt (+ x (* y (- (+ x (* -1 (* y (+ 1 (* -1 x))))) 1)))> |
#<alt (+ x (* y (- (+ x (* y (- (* y (- x 1)) (+ 1 (* -1 x))))) 1)))> |
#<alt 1> |
#<alt (+ 1 (* -1 (/ (- x 1) y)))> |
#<alt (+ 1 (+ (* -1 (/ x (pow y 2))) (+ (* -1 (/ (- x 1) y)) (/ 1 (pow y 2)))))> |
#<alt (- (+ 1 (+ (* -1 (/ x (pow y 2))) (+ (* -1 (/ (- x 1) y)) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3)))))) (/ x (pow y 3)))> |
#<alt 1> |
#<alt (+ 1 (+ (* -1 (/ x y)) (/ 1 y)))> |
#<alt (+ 1 (* -1 (/ (+ (* -1 (+ 1 (* -1 x))) (* -1 (/ (+ 1 (* -1 x)) y))) y)))> |
#<alt (+ 1 (* -1 (/ (+ (* -1 (+ 1 (* -1 x))) (* -1 (/ (+ 1 (+ (* -1 x) (+ (* -1 (/ x y)) (/ 1 y)))) y))) y)))> |
#<alt (* -1 (* y (+ 1 y)))> |
#<alt (+ (* -1 (* y (+ 1 y))) (* x (+ 1 y)))> |
#<alt (+ (* -1 (* y (+ 1 y))) (* x (+ 1 y)))> |
#<alt (+ (* -1 (* y (+ 1 y))) (* x (+ 1 y)))> |
#<alt (* x (+ 1 y))> |
#<alt (* x (+ 1 (+ y (* -1 (/ (* y (+ 1 y)) x)))))> |
#<alt (* x (+ 1 (+ y (* -1 (/ (* y (+ 1 y)) x)))))> |
#<alt (* x (+ 1 (+ y (* -1 (/ (* y (+ 1 y)) x)))))> |
#<alt (* x (+ 1 y))> |
#<alt (* -1 (* x (+ (* -1 (+ 1 y)) (/ (* y (+ 1 y)) x))))> |
#<alt (* -1 (* x (+ (* -1 (+ 1 y)) (/ (* y (+ 1 y)) x))))> |
#<alt (* -1 (* x (+ (* -1 (+ 1 y)) (/ (* y (+ 1 y)) x))))> |
#<alt x> |
#<alt (+ x (* y (- x 1)))> |
#<alt (+ x (* y (- (+ x (* -1 y)) 1)))> |
#<alt (+ x (* y (- (+ x (* -1 y)) 1)))> |
#<alt (* -1 (pow y 2))> |
#<alt (* (pow y 2) (- (/ x y) (+ 1 (/ 1 y))))> |
#<alt (* (pow y 2) (- (+ (/ x y) (/ x (pow y 2))) (+ 1 (/ 1 y))))> |
#<alt (* (pow y 2) (- (+ (/ x y) (/ x (pow y 2))) (+ 1 (/ 1 y))))> |
#<alt (* -1 (pow y 2))> |
#<alt (* (pow y 2) (- (* -1 (/ (+ 1 (* -1 x)) y)) 1))> |
#<alt (* (pow y 2) (- (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ x y)))) y)) 1))> |
#<alt (* (pow y 2) (- (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ x 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> |
#<alt (+ 1 y)> |
#<alt (+ 1 y)> |
#<alt (+ 1 y)> |
#<alt y> |
#<alt (* y (+ 1 (/ 1 y)))> |
#<alt (* y (+ 1 (/ 1 y)))> |
#<alt (* y (+ 1 (/ 1 y)))> |
#<alt y> |
#<alt (* y (+ 1 (/ 1 y)))> |
#<alt (* y (+ 1 (/ 1 y)))> |
#<alt (* y (+ 1 (/ 1 y)))> |
#<alt (/ x (- 1 y))> |
#<alt (/ x (- 1 y))> |
#<alt (/ x (- 1 y))> |
#<alt (/ x (- 1 y))> |
#<alt (/ x (- 1 y))> |
#<alt (/ x (- 1 y))> |
#<alt (/ x (- 1 y))> |
#<alt (/ x (- 1 y))> |
#<alt (/ x (- 1 y))> |
#<alt (/ x (- 1 y))> |
#<alt (/ x (- 1 y))> |
#<alt (/ x (- 1 y))> |
#<alt x> |
#<alt (+ x (* x y))> |
#<alt (+ x (* y (- (* x y) (* -1 x))))> |
#<alt (+ x (* y (- (* y (- (* x y) (* -1 x))) (* -1 x))))> |
#<alt (* -1 (/ x y))> |
#<alt (/ (+ (* -1 x) (* -1 (/ x y))) y)> |
#<alt (/ (- (+ (* -1 x) (* -1 (/ x (pow y 2)))) (/ x y)) y)> |
#<alt (/ (- (+ (* -1 x) (* -1 (/ x (pow y 3)))) (+ (/ x y) (/ x (pow y 2)))) y)> |
#<alt (* -1 (/ x y))> |
#<alt (* -1 (/ (+ x (/ x y)) y))> |
#<alt (* -1 (/ (+ x (* -1 (/ (- (* -1 (/ x y)) x) y))) y))> |
#<alt (* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ x y) (* -1 x)) y)) x) y))) y))> |
#<alt 1> |
#<alt (+ 1 (* -1 y))> |
#<alt (+ 1 (* -1 y))> |
#<alt (+ 1 (* -1 y))> |
#<alt (* -1 y)> |
#<alt (* y (- (/ 1 y) 1))> |
#<alt (* y (- (/ 1 y) 1))> |
#<alt (* y (- (/ 1 y) 1))> |
#<alt (* -1 y)> |
#<alt (* -1 (* y (- 1 (/ 1 y))))> |
#<alt (* -1 (* y (- 1 (/ 1 y))))> |
#<alt (* -1 (* y (- 1 (/ 1 y))))> |
#<alt (* -1 (+ y (pow y 2)))> |
#<alt (+ (* -1 (+ y (pow y 2))) (* x (+ 1 (+ y (pow y 2)))))> |
#<alt (+ (* -1 (+ y (pow y 2))) (* x (+ 1 (+ y (pow y 2)))))> |
#<alt (+ (* -1 (+ y (pow y 2))) (* x (+ 1 (+ y (pow y 2)))))> |
#<alt (* x (+ 1 (+ y (pow y 2))))> |
#<alt (* x (+ 1 (+ y (+ (* -1 (/ (+ y (pow y 2)) x)) (pow y 2)))))> |
#<alt (* x (+ 1 (+ y (+ (* -1 (/ (+ y (pow y 2)) x)) (pow y 2)))))> |
#<alt (* x (+ 1 (+ y (+ (* -1 (/ (+ y (pow y 2)) x)) (pow y 2)))))> |
#<alt (* -1 (* x (- (* -1 (+ y (pow y 2))) 1)))> |
#<alt (* -1 (* x (- (+ (* -1 (+ y (pow y 2))) (+ (/ y x) (/ (pow y 2) x))) 1)))> |
#<alt (* -1 (* x (- (+ (* -1 (+ y (pow y 2))) (+ (/ y x) (/ (pow y 2) x))) 1)))> |
#<alt (* -1 (* x (- (+ (* -1 (+ y (pow y 2))) (+ (/ y x) (/ (pow y 2) x))) 1)))> |
#<alt x> |
#<alt (+ x (* y (- x 1)))> |
#<alt (+ x (* y (- (+ x (* y (- x 1))) 1)))> |
#<alt (+ x (* y (- (+ x (* y (- x 1))) 1)))> |
#<alt (* (pow y 2) (- x 1))> |
#<alt (* (pow y 2) (- (+ x (/ x y)) (+ 1 (/ 1 y))))> |
#<alt (* (pow y 2) (- (+ x (+ (/ x y) (/ x (pow y 2)))) (+ 1 (/ 1 y))))> |
#<alt (* (pow y 2) (- (+ x (+ (/ x y) (/ x (pow y 2)))) (+ 1 (/ 1 y))))> |
#<alt (* (pow y 2) (- x 1))> |
#<alt (* (pow y 2) (- (+ x (/ x y)) (+ 1 (/ 1 y))))> |
#<alt (* (pow y 2) (- (+ x (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ x y))) y))) 1))> |
#<alt (* (pow y 2) (- (+ x (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ x y))) y))) 1))> |
#<alt -1> |
#<alt (- x 1)> |
#<alt (- x 1)> |
#<alt (- x 1)> |
#<alt x> |
#<alt (* x (- 1 (/ 1 x)))> |
#<alt (* x (- 1 (/ 1 x)))> |
#<alt (* x (- 1 (/ 1 x)))> |
#<alt x> |
#<alt (* -1 (* x (- (/ 1 x) 1)))> |
#<alt (* -1 (* x (- (/ 1 x) 1)))> |
#<alt (* -1 (* x (- (/ 1 x) 1)))> |
#<alt y> |
#<alt (* y (+ 1 y))> |
#<alt (* y (+ 1 y))> |
#<alt (* y (+ 1 y))> |
#<alt (pow y 2)> |
#<alt (* (pow y 2) (+ 1 (/ 1 y)))> |
#<alt (* (pow y 2) (+ 1 (/ 1 y)))> |
#<alt (* (pow y 2) (+ 1 (/ 1 y)))> |
#<alt (pow y 2)> |
#<alt (* (pow y 2) (+ 1 (/ 1 y)))> |
#<alt (* (pow y 2) (+ 1 (/ 1 y)))> |
#<alt (* (pow y 2) (+ 1 (/ 1 y)))> |
#<alt (+ 1 (/ 1 y))> |
#<alt (+ 1 (+ (* -1 (/ x y)) (/ 1 y)))> |
#<alt (+ 1 (+ (* -1 (/ x y)) (/ 1 y)))> |
#<alt (+ 1 (+ (* -1 (/ x y)) (/ 1 y)))> |
#<alt (* -1 (/ x y))> |
#<alt (* x (- (+ (/ 1 x) (/ 1 (* x y))) (/ 1 y)))> |
#<alt (* x (- (+ (/ 1 x) (/ 1 (* x y))) (/ 1 y)))> |
#<alt (* x (- (+ (/ 1 x) (/ 1 (* x y))) (/ 1 y)))> |
#<alt (* -1 (/ x y))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y))))> |
#<alt (/ (- 1 x) y)> |
#<alt (/ (- (+ 1 y) x) y)> |
#<alt (/ (- (+ 1 y) x) y)> |
#<alt (/ (- (+ 1 y) x) y)> |
#<alt 1> |
#<alt (- (+ 1 (/ 1 y)) (/ x y))> |
#<alt (- (+ 1 (/ 1 y)) (/ x y))> |
#<alt (- (+ 1 (/ 1 y)) (/ x y))> |
#<alt 1> |
#<alt (- (+ 1 (/ 1 y)) (/ x y))> |
#<alt (- (+ 1 (/ 1 y)) (/ x y))> |
#<alt (- (+ 1 (/ 1 y)) (/ x y))> |
#<alt (/ 1 y)> |
#<alt (+ (* -1 (/ x y)) (/ 1 y))> |
#<alt (+ (* -1 (/ x y)) (/ 1 y))> |
#<alt (+ (* -1 (/ x y)) (/ 1 y))> |
#<alt (* -1 (/ x y))> |
#<alt (* x (- (/ 1 (* x y)) (/ 1 y)))> |
#<alt (* x (- (/ 1 (* x y)) (/ 1 y)))> |
#<alt (* x (- (/ 1 (* x y)) (/ 1 y)))> |
#<alt (* -1 (/ x y))> |
#<alt (* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))> |
#<alt (* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))> |
#<alt (* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))> |
#<alt (/ (- 1 x) y)> |
#<alt (/ (- 1 x) y)> |
#<alt (/ (- 1 x) y)> |
#<alt (/ (- 1 x) y)> |
#<alt (/ (- 1 x) y)> |
#<alt (/ (- 1 x) y)> |
#<alt (/ (- 1 x) y)> |
#<alt (/ (- 1 x) y)> |
#<alt (/ (- 1 x) y)> |
#<alt (/ (- 1 x) y)> |
#<alt (/ (- 1 x) y)> |
#<alt (/ (- 1 x) y)> |
#<alt 1> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* -1 x))> |
#<alt (* -1 x)> |
#<alt (* x (- (/ 1 x) 1))> |
#<alt (* x (- (/ 1 x) 1))> |
#<alt (* x (- (/ 1 x) 1))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (- 1 (/ 1 x))))> |
#<alt (* -1 (* x (- 1 (/ 1 x))))> |
#<alt (* -1 (* x (- 1 (/ 1 x))))> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
60 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | -inf | (+ 1 (/ (- 1 x) y)) |
| 1.0ms | x | @ | -inf | (/ (* (- x y) (+ y 1)) (- 1 (* y y))) |
| 1.0ms | x | @ | 0 | (+ (* (+ -1 x) (+ (* y y) y)) x) |
| 1.0ms | x | @ | 0 | (/ (* (- x y) (+ y 1)) (- 1 (* y y))) |
| 1.0ms | x | @ | inf | (/ (* (- x y) (+ y 1)) (- 1 (* y y))) |
| 1× | batch-egg-rewrite |
| 4 948× | lower-/.f32 |
| 4 942× | lower-/.f64 |
| 4 482× | lower-fma.f32 |
| 4 478× | lower-fma.f64 |
| 4 128× | lower-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 68 |
| 0 | 33 | 68 |
| 1 | 173 | 64 |
| 2 | 1524 | 64 |
| 0 | 8502 | 64 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) |
(*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) |
(-.f64 x y) |
(+.f64 y #s(literal 1 binary64)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) y) |
(fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x) |
(+.f64 #s(literal -1 binary64) x) |
(fma.f64 y y y) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(-.f64 #s(literal 1 binary64) x) |
(*.f64 y y) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))))) |
(neg.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))))) |
(neg.f64 (/.f64 (neg.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y))))) |
(/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y)) (+.f64 y #s(literal 1 binary64))) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (+.f64 y #s(literal 1 binary64))) (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))))) |
(/.f64 (*.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) |
(/.f64 (*.f64 (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) (fma.f64 y (+.f64 x y) (*.f64 x x))) |
(/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) (+.f64 x y)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y)) (+.f64 y #s(literal 1 binary64)))) (neg.f64 (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 y y))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (+.f64 y #s(literal 1 binary64)))) (neg.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y y))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64)))))) (neg.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))) (neg.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))) (neg.f64 (+.f64 x y))) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))) |
(*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y y))))) |
(*.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(*.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(*.f64 (neg.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 x y)) |
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))) (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y y))))) (fma.f64 y y #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))))) |
(*.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))) (/.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))))) |
(*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))) (/.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))))) |
(*.f64 (/.f64 (-.f64 x y) #s(literal -1 binary64)) (/.f64 (neg.f64 (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(*.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 (-.f64 x y)) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(*.f64 (/.f64 (neg.f64 (+.f64 y #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(*.f64 (/.f64 (neg.f64 (-.f64 x y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) |
(+.f64 (-.f64 x y) (*.f64 y (-.f64 x y))) |
(+.f64 (*.f64 y (-.f64 x y)) (-.f64 x y)) |
(+.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) x) (*.f64 (+.f64 y #s(literal 1 binary64)) (neg.f64 y))) |
(+.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) (*.f64 (neg.f64 y) (+.f64 y #s(literal 1 binary64)))) |
(-.f64 (/.f64 (*.f64 (*.f64 y (-.f64 x y)) (*.f64 y (-.f64 x y))) (-.f64 (*.f64 y (-.f64 x y)) (-.f64 x y))) (/.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (-.f64 (*.f64 y (-.f64 x y)) (-.f64 x y)))) |
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 (neg.f64 y) (+.f64 y #s(literal 1 binary64)))) |
(fma.f64 y (-.f64 x y) (-.f64 x y)) |
(fma.f64 (-.f64 x y) y (-.f64 x y)) |
(fma.f64 (-.f64 x y) #s(literal 1 binary64) (*.f64 y (-.f64 x y))) |
(fma.f64 #s(literal 1 binary64) (-.f64 x y) (*.f64 y (-.f64 x y))) |
(fma.f64 (+.f64 y #s(literal 1 binary64)) x (*.f64 (+.f64 y #s(literal 1 binary64)) (neg.f64 y))) |
(fma.f64 (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (*.f64 x x))) (*.f64 y (-.f64 x y))) |
(fma.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 x y)) (*.f64 y (-.f64 x y))) |
(/.f64 (*.f64 (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y)) (+.f64 y #s(literal 1 binary64))) (fma.f64 y (+.f64 x y) (*.f64 x x))) |
(/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (+.f64 y #s(literal 1 binary64))) (+.f64 x y)) |
(/.f64 (*.f64 (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) |
(/.f64 (*.f64 (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y)) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (+.f64 y #s(literal -1 binary64)))) |
(/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (*.f64 (+.f64 x y) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) |
(/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (+.f64 x y) (+.f64 y #s(literal -1 binary64)))) |
(/.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (*.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (fma.f64 y (+.f64 x y) (*.f64 x x)))) |
(/.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (+.f64 x y))) |
(/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (*.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y (+.f64 x y) (*.f64 x x)))) |
(/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 x y))) |
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y)))) (fma.f64 (*.f64 y (-.f64 x y)) (*.f64 y (-.f64 x y)) (-.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (*.f64 y (-.f64 x y)) (-.f64 x y))))) |
(/.f64 (-.f64 (*.f64 (*.f64 y (-.f64 x y)) (*.f64 y (-.f64 x y))) (*.f64 (-.f64 x y) (-.f64 x y))) (-.f64 (*.f64 y (-.f64 x y)) (-.f64 x y))) |
(/.f64 (*.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)) |
(/.f64 (*.f64 (-.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) |
(/.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (fma.f64 y (+.f64 x y) (*.f64 x x))) |
(/.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) (+.f64 x y)) |
(/.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (-.f64 x y)) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)) |
(/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 x y)) (+.f64 y #s(literal -1 binary64))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (*.f64 x x)) (*.f64 (/.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (*.f64 y (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))))) (*.f64 (/.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (fma.f64 y (+.f64 x y) (*.f64 x x)))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 x y) (*.f64 (/.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (*.f64 y (*.f64 (+.f64 x y) (-.f64 x y))))) (*.f64 (/.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (+.f64 x y))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (*.f64 x x)) (*.f64 (/.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (*.f64 (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y)) y))) (*.f64 (/.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (fma.f64 y (+.f64 x y) (*.f64 x x)))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 x y) (*.f64 (/.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) y))) (*.f64 (/.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (+.f64 x y))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (*.f64 x x)) (*.f64 (/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 y (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))))) (*.f64 (/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y))) (fma.f64 y (+.f64 x y) (*.f64 x x)))) |
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(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (*.f64 x x)) (*.f64 (/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y)) y))) (*.f64 (/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y))) (fma.f64 y (+.f64 x y) (*.f64 x x)))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) (neg.f64 x))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (neg.f64 x))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) (neg.f64 x)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (fma.f64 (neg.f64 x) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))))))) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) |
(exp.f64 (log.f64 (*.f64 y y))) |
(pow.f64 y #s(literal 2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 1 binary64)) |
(pow.f64 (neg.f64 y) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64)) |
(*.f64 y y) |
(*.f64 #s(literal 1 binary64) (*.f64 y y)) |
(*.f64 (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 (neg.f64 y) (neg.f64 y)) |
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y))) |
| 1× | egg-herbie |
| 21 382× | lower-fma.f64 |
| 21 382× | lower-fma.f32 |
| 3 590× | lower-*.f64 |
| 3 590× | lower-*.f32 |
| 2 906× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 233 | 1771 |
| 1 | 708 | 1598 |
| 2 | 2122 | 1497 |
| 3 | 7493 | 1494 |
| 0 | 8592 | 1415 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ (* y (+ 1 y)) (- 1 (pow y 2)))) |
(+ (* -1 (/ (* y (+ 1 y)) (- 1 (pow y 2)))) (* x (+ (/ 1 (- 1 (pow y 2))) (/ y (- 1 (pow y 2)))))) |
(+ (* -1 (/ (* y (+ 1 y)) (- 1 (pow y 2)))) (* x (+ (/ 1 (- 1 (pow y 2))) (/ y (- 1 (pow y 2)))))) |
(+ (* -1 (/ (* y (+ 1 y)) (- 1 (pow y 2)))) (* x (+ (/ 1 (- 1 (pow y 2))) (/ y (- 1 (pow y 2)))))) |
(/ (* x (+ 1 y)) (- 1 (pow y 2))) |
(* x (+ (* -1 (/ (* y (+ 1 y)) (* x (- 1 (pow y 2))))) (+ (/ 1 (- 1 (pow y 2))) (/ y (- 1 (pow y 2)))))) |
(* x (+ (* -1 (/ (* y (+ 1 y)) (* x (- 1 (pow y 2))))) (+ (/ 1 (- 1 (pow y 2))) (/ y (- 1 (pow y 2)))))) |
(* x (+ (* -1 (/ (* y (+ 1 y)) (* x (- 1 (pow y 2))))) (+ (/ 1 (- 1 (pow y 2))) (/ y (- 1 (pow y 2)))))) |
(/ (* x (+ 1 y)) (- 1 (pow y 2))) |
(* -1 (* x (+ (* -1 (/ (+ 1 y) (- 1 (pow y 2)))) (/ (* y (+ 1 y)) (* x (- 1 (pow y 2))))))) |
(* -1 (* x (+ (* -1 (/ (+ 1 y) (- 1 (pow y 2)))) (/ (* y (+ 1 y)) (* x (- 1 (pow y 2))))))) |
(* -1 (* x (+ (* -1 (/ (+ 1 y) (- 1 (pow y 2)))) (/ (* y (+ 1 y)) (* x (- 1 (pow y 2))))))) |
x |
(+ x (* y (- x 1))) |
(+ x (* y (- (+ x (* -1 (* y (+ 1 (* -1 x))))) 1))) |
(+ x (* y (- (+ x (* y (- (* y (- x 1)) (+ 1 (* -1 x))))) 1))) |
1 |
(+ 1 (* -1 (/ (- x 1) y))) |
(+ 1 (+ (* -1 (/ x (pow y 2))) (+ (* -1 (/ (- x 1) y)) (/ 1 (pow y 2))))) |
(- (+ 1 (+ (* -1 (/ x (pow y 2))) (+ (* -1 (/ (- x 1) y)) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3)))))) (/ x (pow y 3))) |
1 |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+ 1 (* -1 (/ (+ (* -1 (+ 1 (* -1 x))) (* -1 (/ (+ 1 (* -1 x)) y))) y))) |
(+ 1 (* -1 (/ (+ (* -1 (+ 1 (* -1 x))) (* -1 (/ (+ 1 (+ (* -1 x) (+ (* -1 (/ x y)) (/ 1 y)))) y))) y))) |
(* -1 (* y (+ 1 y))) |
(+ (* -1 (* y (+ 1 y))) (* x (+ 1 y))) |
(+ (* -1 (* y (+ 1 y))) (* x (+ 1 y))) |
(+ (* -1 (* y (+ 1 y))) (* x (+ 1 y))) |
(* x (+ 1 y)) |
(* x (+ 1 (+ y (* -1 (/ (* y (+ 1 y)) x))))) |
(* x (+ 1 (+ y (* -1 (/ (* y (+ 1 y)) x))))) |
(* x (+ 1 (+ y (* -1 (/ (* y (+ 1 y)) x))))) |
(* x (+ 1 y)) |
(* -1 (* x (+ (* -1 (+ 1 y)) (/ (* y (+ 1 y)) x)))) |
(* -1 (* x (+ (* -1 (+ 1 y)) (/ (* y (+ 1 y)) x)))) |
(* -1 (* x (+ (* -1 (+ 1 y)) (/ (* y (+ 1 y)) x)))) |
x |
(+ x (* y (- x 1))) |
(+ x (* y (- (+ x (* -1 y)) 1))) |
(+ x (* y (- (+ x (* -1 y)) 1))) |
(* -1 (pow y 2)) |
(* (pow y 2) (- (/ x y) (+ 1 (/ 1 y)))) |
(* (pow y 2) (- (+ (/ x y) (/ x (pow y 2))) (+ 1 (/ 1 y)))) |
(* (pow y 2) (- (+ (/ x y) (/ x (pow y 2))) (+ 1 (/ 1 y)))) |
(* -1 (pow y 2)) |
(* (pow y 2) (- (* -1 (/ (+ 1 (* -1 x)) y)) 1)) |
(* (pow y 2) (- (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ x y)))) y)) 1)) |
(* (pow y 2) (- (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ x y)))) y)) 1)) |
(* -1 y) |
(- x y) |
(- x y) |
(- x y) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
x |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
x |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(* -1 y) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
1 |
(+ 1 y) |
(+ 1 y) |
(+ 1 y) |
y |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
y |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
x |
(+ x (* x y)) |
(+ x (* y (- (* x y) (* -1 x)))) |
(+ x (* y (- (* y (- (* x y) (* -1 x))) (* -1 x)))) |
(* -1 (/ x y)) |
(/ (+ (* -1 x) (* -1 (/ x y))) y) |
(/ (- (+ (* -1 x) (* -1 (/ x (pow y 2)))) (/ x y)) y) |
(/ (- (+ (* -1 x) (* -1 (/ x (pow y 3)))) (+ (/ x y) (/ x (pow y 2)))) y) |
(* -1 (/ x y)) |
(* -1 (/ (+ x (/ x y)) y)) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ x y)) x) y))) y)) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ x y) (* -1 x)) y)) x) y))) y)) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* -1 y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (+ y (pow y 2))) |
(+ (* -1 (+ y (pow y 2))) (* x (+ 1 (+ y (pow y 2))))) |
(+ (* -1 (+ y (pow y 2))) (* x (+ 1 (+ y (pow y 2))))) |
(+ (* -1 (+ y (pow y 2))) (* x (+ 1 (+ y (pow y 2))))) |
(* x (+ 1 (+ y (pow y 2)))) |
(* x (+ 1 (+ y (+ (* -1 (/ (+ y (pow y 2)) x)) (pow y 2))))) |
(* x (+ 1 (+ y (+ (* -1 (/ (+ y (pow y 2)) x)) (pow y 2))))) |
(* x (+ 1 (+ y (+ (* -1 (/ (+ y (pow y 2)) x)) (pow y 2))))) |
(* -1 (* x (- (* -1 (+ y (pow y 2))) 1))) |
(* -1 (* x (- (+ (* -1 (+ y (pow y 2))) (+ (/ y x) (/ (pow y 2) x))) 1))) |
(* -1 (* x (- (+ (* -1 (+ y (pow y 2))) (+ (/ y x) (/ (pow y 2) x))) 1))) |
(* -1 (* x (- (+ (* -1 (+ y (pow y 2))) (+ (/ y x) (/ (pow y 2) x))) 1))) |
x |
(+ x (* y (- x 1))) |
(+ x (* y (- (+ x (* y (- x 1))) 1))) |
(+ x (* y (- (+ x (* y (- x 1))) 1))) |
(* (pow y 2) (- x 1)) |
(* (pow y 2) (- (+ x (/ x y)) (+ 1 (/ 1 y)))) |
(* (pow y 2) (- (+ x (+ (/ x y) (/ x (pow y 2)))) (+ 1 (/ 1 y)))) |
(* (pow y 2) (- (+ x (+ (/ x y) (/ x (pow y 2)))) (+ 1 (/ 1 y)))) |
(* (pow y 2) (- x 1)) |
(* (pow y 2) (- (+ x (/ x y)) (+ 1 (/ 1 y)))) |
(* (pow y 2) (- (+ x (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ x y))) y))) 1)) |
(* (pow y 2) (- (+ x (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ x y))) y))) 1)) |
-1 |
(- x 1) |
(- x 1) |
(- x 1) |
x |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
y |
(* y (+ 1 y)) |
(* y (+ 1 y)) |
(* y (+ 1 y)) |
(pow y 2) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(pow y 2) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(+ 1 (/ 1 y)) |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(* -1 (/ x y)) |
(* x (- (+ (/ 1 x) (/ 1 (* x y))) (/ 1 y))) |
(* x (- (+ (/ 1 x) (/ 1 (* x y))) (/ 1 y))) |
(* x (- (+ (/ 1 x) (/ 1 (* x y))) (/ 1 y))) |
(* -1 (/ x y)) |
(* -1 (* x (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y)))) |
(/ (- 1 x) y) |
(/ (- (+ 1 y) x) y) |
(/ (- (+ 1 y) x) y) |
(/ (- (+ 1 y) x) y) |
1 |
(- (+ 1 (/ 1 y)) (/ x y)) |
(- (+ 1 (/ 1 y)) (/ x y)) |
(- (+ 1 (/ 1 y)) (/ x y)) |
1 |
(- (+ 1 (/ 1 y)) (/ x y)) |
(- (+ 1 (/ 1 y)) (/ x y)) |
(- (+ 1 (/ 1 y)) (/ x y)) |
(/ 1 y) |
(+ (* -1 (/ x y)) (/ 1 y)) |
(+ (* -1 (/ x y)) (/ 1 y)) |
(+ (* -1 (/ x y)) (/ 1 y)) |
(* -1 (/ x y)) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(* -1 (/ x y)) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
| Outputs |
|---|
(* -1 (/ (* y (+ 1 y)) (- 1 (pow y 2)))) |
(/.f64 (fma.f64 y y y) (fma.f64 y y #s(literal -1 binary64))) |
(+ (* -1 (/ (* y (+ 1 y)) (- 1 (pow y 2)))) (* x (+ (/ 1 (- 1 (pow y 2))) (/ y (- 1 (pow y 2)))))) |
(+.f64 (fma.f64 y (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (/.f64 (fma.f64 y y y) (fma.f64 y y #s(literal -1 binary64)))) |
(+ (* -1 (/ (* y (+ 1 y)) (- 1 (pow y 2)))) (* x (+ (/ 1 (- 1 (pow y 2))) (/ y (- 1 (pow y 2)))))) |
(+.f64 (fma.f64 y (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (/.f64 (fma.f64 y y y) (fma.f64 y y #s(literal -1 binary64)))) |
(+ (* -1 (/ (* y (+ 1 y)) (- 1 (pow y 2)))) (* x (+ (/ 1 (- 1 (pow y 2))) (/ y (- 1 (pow y 2)))))) |
(+.f64 (fma.f64 y (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (/.f64 (fma.f64 y y y) (fma.f64 y y #s(literal -1 binary64)))) |
(/ (* x (+ 1 y)) (- 1 (pow y 2))) |
(/.f64 (fma.f64 y x x) (-.f64 #s(literal 1 binary64) (*.f64 y y))) |
(* x (+ (* -1 (/ (* y (+ 1 y)) (* x (- 1 (pow y 2))))) (+ (/ 1 (- 1 (pow y 2))) (/ y (- 1 (pow y 2)))))) |
(+.f64 (fma.f64 y (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (/.f64 (fma.f64 y y y) (fma.f64 y y #s(literal -1 binary64)))) |
(* x (+ (* -1 (/ (* y (+ 1 y)) (* x (- 1 (pow y 2))))) (+ (/ 1 (- 1 (pow y 2))) (/ y (- 1 (pow y 2)))))) |
(+.f64 (fma.f64 y (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (/.f64 (fma.f64 y y y) (fma.f64 y y #s(literal -1 binary64)))) |
(* x (+ (* -1 (/ (* y (+ 1 y)) (* x (- 1 (pow y 2))))) (+ (/ 1 (- 1 (pow y 2))) (/ y (- 1 (pow y 2)))))) |
(+.f64 (fma.f64 y (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (/.f64 (fma.f64 y y y) (fma.f64 y y #s(literal -1 binary64)))) |
(/ (* x (+ 1 y)) (- 1 (pow y 2))) |
(/.f64 (fma.f64 y x x) (-.f64 #s(literal 1 binary64) (*.f64 y y))) |
(* -1 (* x (+ (* -1 (/ (+ 1 y) (- 1 (pow y 2)))) (/ (* y (+ 1 y)) (* x (- 1 (pow y 2))))))) |
(neg.f64 (*.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 y x))) |
(* -1 (* x (+ (* -1 (/ (+ 1 y) (- 1 (pow y 2)))) (/ (* y (+ 1 y)) (* x (- 1 (pow y 2))))))) |
(neg.f64 (*.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 y x))) |
(* -1 (* x (+ (* -1 (/ (+ 1 y) (- 1 (pow y 2)))) (/ (* y (+ 1 y)) (* x (- 1 (pow y 2))))))) |
(neg.f64 (*.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 y x))) |
x |
(+ x (* y (- x 1))) |
(fma.f64 y x (-.f64 x y)) |
(+ x (* y (- (+ x (* -1 (* y (+ 1 (* -1 x))))) 1))) |
(fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x) |
(+ x (* y (- (+ x (* y (- (* y (- x 1)) (+ 1 (* -1 x))))) 1))) |
(fma.f64 y (fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x) (-.f64 x y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- x 1) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+ 1 (+ (* -1 (/ x (pow y 2))) (+ (* -1 (/ (- x 1) y)) (/ 1 (pow y 2))))) |
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 x (/.f64 x y))) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(- (+ 1 (+ (* -1 (/ x (pow y 2))) (+ (* -1 (/ (- x 1) y)) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3)))))) (/ x (pow y 3))) |
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (/.f64 (-.f64 (/.f64 x (neg.f64 y)) x) (*.f64 y y))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+ 1 (* -1 (/ (+ (* -1 (+ 1 (* -1 x))) (* -1 (/ (+ 1 (* -1 x)) y))) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) y)) |
(+ 1 (* -1 (/ (+ (* -1 (+ 1 (* -1 x))) (* -1 (/ (+ 1 (+ (* -1 x) (+ (* -1 (/ x y)) (/ 1 y)))) y))) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) y)) y)) |
(* -1 (* y (+ 1 y))) |
(*.f64 y (-.f64 #s(literal -1 binary64) y)) |
(+ (* -1 (* y (+ 1 y))) (* x (+ 1 y))) |
(*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 x y)) |
(+ (* -1 (* y (+ 1 y))) (* x (+ 1 y))) |
(*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 x y)) |
(+ (* -1 (* y (+ 1 y))) (* x (+ 1 y))) |
(*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 x y)) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 (+ y (* -1 (/ (* y (+ 1 y)) x))))) |
(*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 x y)) |
(* x (+ 1 (+ y (* -1 (/ (* y (+ 1 y)) x))))) |
(*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 x y)) |
(* x (+ 1 (+ y (* -1 (/ (* y (+ 1 y)) x))))) |
(*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 x y)) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* -1 (* x (+ (* -1 (+ 1 y)) (/ (* y (+ 1 y)) x)))) |
(*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 x y)) |
(* -1 (* x (+ (* -1 (+ 1 y)) (/ (* y (+ 1 y)) x)))) |
(*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 x y)) |
(* -1 (* x (+ (* -1 (+ 1 y)) (/ (* y (+ 1 y)) x)))) |
(*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 x y)) |
x |
(+ x (* y (- x 1))) |
(fma.f64 y x (-.f64 x y)) |
(+ x (* y (- (+ x (* -1 y)) 1))) |
(*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 x y)) |
(+ x (* y (- (+ x (* -1 y)) 1))) |
(*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 x y)) |
(* -1 (pow y 2)) |
(*.f64 y (neg.f64 y)) |
(* (pow y 2) (- (/ x y) (+ 1 (/ 1 y)))) |
(-.f64 (*.f64 y (-.f64 x y)) y) |
(* (pow y 2) (- (+ (/ x y) (/ x (pow y 2))) (+ 1 (/ 1 y)))) |
(*.f64 y (+.f64 (/.f64 x y) (+.f64 #s(literal -1 binary64) (-.f64 x y)))) |
(* (pow y 2) (- (+ (/ x y) (/ x (pow y 2))) (+ 1 (/ 1 y)))) |
(*.f64 y (+.f64 (/.f64 x y) (+.f64 #s(literal -1 binary64) (-.f64 x y)))) |
(* -1 (pow y 2)) |
(*.f64 y (neg.f64 y)) |
(* (pow y 2) (- (* -1 (/ (+ 1 (* -1 x)) y)) 1)) |
(-.f64 (*.f64 y (-.f64 x y)) y) |
(* (pow y 2) (- (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ x y)))) y)) 1)) |
(*.f64 y (+.f64 (/.f64 x y) (+.f64 #s(literal -1 binary64) (-.f64 x y)))) |
(* (pow y 2) (- (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ x y)))) y)) 1)) |
(*.f64 y (+.f64 (/.f64 x y) (+.f64 #s(literal -1 binary64) (-.f64 x y)))) |
(* -1 y) |
(neg.f64 y) |
(- x y) |
(-.f64 x y) |
(- x y) |
(-.f64 x y) |
(- x y) |
(-.f64 x y) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(-.f64 x y) |
(* x (+ 1 (* -1 (/ y x)))) |
(-.f64 x y) |
(* x (+ 1 (* -1 (/ y x)))) |
(-.f64 x y) |
x |
(* -1 (* x (- (/ y x) 1))) |
(-.f64 x y) |
(* -1 (* x (- (/ y x) 1))) |
(-.f64 x y) |
(* -1 (* x (- (/ y x) 1))) |
(-.f64 x y) |
x |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ x y) 1)) |
(-.f64 x y) |
(* y (- (/ x y) 1)) |
(-.f64 x y) |
(* y (- (/ x y) 1)) |
(-.f64 x y) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 x y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 x y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 x y) |
1 |
#s(literal 1 binary64) |
(+ 1 y) |
(+.f64 y #s(literal 1 binary64)) |
(+ 1 y) |
(+.f64 y #s(literal 1 binary64)) |
(+ 1 y) |
(+.f64 y #s(literal 1 binary64)) |
y |
(* y (+ 1 (/ 1 y))) |
(+.f64 y #s(literal 1 binary64)) |
(* y (+ 1 (/ 1 y))) |
(+.f64 y #s(literal 1 binary64)) |
(* y (+ 1 (/ 1 y))) |
(+.f64 y #s(literal 1 binary64)) |
y |
(* y (+ 1 (/ 1 y))) |
(+.f64 y #s(literal 1 binary64)) |
(* y (+ 1 (/ 1 y))) |
(+.f64 y #s(literal 1 binary64)) |
(* y (+ 1 (/ 1 y))) |
(+.f64 y #s(literal 1 binary64)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
x |
(+ x (* x y)) |
(fma.f64 y x x) |
(+ x (* y (- (* x y) (* -1 x)))) |
(fma.f64 y (fma.f64 y x x) x) |
(+ x (* y (- (* y (- (* x y) (* -1 x))) (* -1 x)))) |
(fma.f64 y (fma.f64 y (fma.f64 y x x) x) x) |
(* -1 (/ x y)) |
(/.f64 x (neg.f64 y)) |
(/ (+ (* -1 x) (* -1 (/ x y))) y) |
(/.f64 (-.f64 (/.f64 x (neg.f64 y)) x) y) |
(/ (- (+ (* -1 x) (* -1 (/ x (pow y 2)))) (/ x y)) y) |
(neg.f64 (/.f64 (+.f64 x (/.f64 (+.f64 x (/.f64 x y)) y)) y)) |
(/ (- (+ (* -1 x) (* -1 (/ x (pow y 3)))) (+ (/ x y) (/ x (pow y 2)))) y) |
(neg.f64 (/.f64 (+.f64 x (/.f64 (+.f64 x (/.f64 (+.f64 x (/.f64 x y)) y)) y)) y)) |
(* -1 (/ x y)) |
(/.f64 x (neg.f64 y)) |
(* -1 (/ (+ x (/ x y)) y)) |
(/.f64 (-.f64 (/.f64 x (neg.f64 y)) x) y) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ x y)) x) y))) y)) |
(neg.f64 (/.f64 (+.f64 x (/.f64 (+.f64 x (/.f64 x y)) y)) y)) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ x y) (* -1 x)) y)) x) y))) y)) |
(neg.f64 (/.f64 (+.f64 x (/.f64 (+.f64 x (/.f64 (+.f64 x (/.f64 x y)) y)) y)) y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 (+ y (pow y 2))) |
(*.f64 y (-.f64 #s(literal -1 binary64) y)) |
(+ (* -1 (+ y (pow y 2))) (* x (+ 1 (+ y (pow y 2))))) |
(fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x) |
(+ (* -1 (+ y (pow y 2))) (* x (+ 1 (+ y (pow y 2))))) |
(fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x) |
(+ (* -1 (+ y (pow y 2))) (* x (+ 1 (+ y (pow y 2))))) |
(fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x) |
(* x (+ 1 (+ y (pow y 2)))) |
(fma.f64 x (fma.f64 y y y) x) |
(* x (+ 1 (+ y (+ (* -1 (/ (+ y (pow y 2)) x)) (pow y 2))))) |
(fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x) |
(* x (+ 1 (+ y (+ (* -1 (/ (+ y (pow y 2)) x)) (pow y 2))))) |
(fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x) |
(* x (+ 1 (+ y (+ (* -1 (/ (+ y (pow y 2)) x)) (pow y 2))))) |
(fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x) |
(* -1 (* x (- (* -1 (+ y (pow y 2))) 1))) |
(fma.f64 x (fma.f64 y y y) x) |
(* -1 (* x (- (+ (* -1 (+ y (pow y 2))) (+ (/ y x) (/ (pow y 2) x))) 1))) |
(fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x) |
(* -1 (* x (- (+ (* -1 (+ y (pow y 2))) (+ (/ y x) (/ (pow y 2) x))) 1))) |
(fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x) |
(* -1 (* x (- (+ (* -1 (+ y (pow y 2))) (+ (/ y x) (/ (pow y 2) x))) 1))) |
(fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x) |
x |
(+ x (* y (- x 1))) |
(fma.f64 y x (-.f64 x y)) |
(+ x (* y (- (+ x (* y (- x 1))) 1))) |
(fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x) |
(+ x (* y (- (+ x (* y (- x 1))) 1))) |
(fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x) |
(* (pow y 2) (- x 1)) |
(*.f64 y (-.f64 (*.f64 y x) y)) |
(* (pow y 2) (- (+ x (/ x y)) (+ 1 (/ 1 y)))) |
(*.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y)) |
(* (pow y 2) (- (+ x (+ (/ x y) (/ x (pow y 2)))) (+ 1 (/ 1 y)))) |
(*.f64 y (fma.f64 y x (+.f64 (/.f64 x y) (+.f64 #s(literal -1 binary64) (-.f64 x y))))) |
(* (pow y 2) (- (+ x (+ (/ x y) (/ x (pow y 2)))) (+ 1 (/ 1 y)))) |
(*.f64 y (fma.f64 y x (+.f64 (/.f64 x y) (+.f64 #s(literal -1 binary64) (-.f64 x y))))) |
(* (pow y 2) (- x 1)) |
(*.f64 y (-.f64 (*.f64 y x) y)) |
(* (pow y 2) (- (+ x (/ x y)) (+ 1 (/ 1 y)))) |
(*.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y)) |
(* (pow y 2) (- (+ x (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ x y))) y))) 1)) |
(*.f64 y (fma.f64 y x (+.f64 (/.f64 x y) (+.f64 #s(literal -1 binary64) (-.f64 x y))))) |
(* (pow y 2) (- (+ x (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ x y))) y))) 1)) |
(*.f64 y (fma.f64 y x (+.f64 (/.f64 x y) (+.f64 #s(literal -1 binary64) (-.f64 x y))))) |
-1 |
#s(literal -1 binary64) |
(- x 1) |
(+.f64 #s(literal -1 binary64) x) |
(- x 1) |
(+.f64 #s(literal -1 binary64) x) |
(- x 1) |
(+.f64 #s(literal -1 binary64) x) |
x |
(* x (- 1 (/ 1 x))) |
(+.f64 #s(literal -1 binary64) x) |
(* x (- 1 (/ 1 x))) |
(+.f64 #s(literal -1 binary64) x) |
(* x (- 1 (/ 1 x))) |
(+.f64 #s(literal -1 binary64) x) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(+.f64 #s(literal -1 binary64) x) |
(* -1 (* x (- (/ 1 x) 1))) |
(+.f64 #s(literal -1 binary64) x) |
(* -1 (* x (- (/ 1 x) 1))) |
(+.f64 #s(literal -1 binary64) x) |
y |
(* y (+ 1 y)) |
(fma.f64 y y y) |
(* y (+ 1 y)) |
(fma.f64 y y y) |
(* y (+ 1 y)) |
(fma.f64 y y y) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(fma.f64 y y y) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(fma.f64 y y y) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(fma.f64 y y y) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(fma.f64 y y y) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(fma.f64 y y y) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(fma.f64 y y y) |
(+ 1 (/ 1 y)) |
(/.f64 (+.f64 y #s(literal 1 binary64)) y) |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(* -1 (/ x y)) |
(/.f64 x (neg.f64 y)) |
(* x (- (+ (/ 1 x) (/ 1 (* x y))) (/ 1 y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(* x (- (+ (/ 1 x) (/ 1 (* x y))) (/ 1 y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(* x (- (+ (/ 1 x) (/ 1 (* x y))) (/ 1 y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(* -1 (/ x y)) |
(/.f64 x (neg.f64 y)) |
(* -1 (* x (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y)))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(* -1 (* x (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y)))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(* -1 (* x (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y)))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- (+ 1 y) x) y) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(/ (- (+ 1 y) x) y) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(/ (- (+ 1 y) x) y) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (/ 1 y)) (/ x y)) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(- (+ 1 (/ 1 y)) (/ x y)) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(- (+ 1 (/ 1 y)) (/ x y)) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (/ 1 y)) (/ x y)) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(- (+ 1 (/ 1 y)) (/ x y)) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(- (+ 1 (/ 1 y)) (/ x y)) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(+ (* -1 (/ x y)) (/ 1 y)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(+ (* -1 (/ x y)) (/ 1 y)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(+ (* -1 (/ x y)) (/ 1 y)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* -1 (/ x y)) |
(/.f64 x (neg.f64 y)) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* -1 (/ x y)) |
(/.f64 x (neg.f64 y)) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
Compiled 20 163 to 2 202 computations (89.1% saved)
13 alts after pruning (11 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 842 | 9 | 851 |
| Fresh | 1 | 2 | 3 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 846 | 13 | 859 |
| Status | Accuracy | Program |
|---|---|---|
| 37.4% | (fma.f64 y (fma.f64 y x x) x) | |
| ▶ | 49.4% | (fma.f64 y x (-.f64 x y)) |
| ▶ | 37.3% | (fma.f64 y x x) |
| ▶ | 48.9% | (fma.f64 #s(literal -1 binary64) (fma.f64 y y y) x) |
| 28.7% | (/.f64 (fma.f64 y y y) (fma.f64 y y #s(literal -1 binary64))) | |
| 51.4% | (/.f64 (-.f64 x y) (neg.f64 y)) | |
| ▶ | 51.5% | (/.f64 y (+.f64 #s(literal -1 binary64) y)) |
| ✓ | 50.7% | (/.f64 x (-.f64 #s(literal 1 binary64) y)) |
| ▶ | 15.8% | (/.f64 x (neg.f64 y)) |
| 37.1% | (/.f64 x #s(literal 1 binary64)) | |
| 51.4% | (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y)) | |
| 14.9% | (*.f64 y (-.f64 #s(literal -1 binary64) y)) | |
| ✓ | 38.3% | #s(literal 1 binary64) |
Compiled 178 to 110 computations (38.2% saved)
| 1× | egg-herbie |
Found 9 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (neg.f64 y) |
| ✓ | cost-diff | 0 | (/.f64 x (neg.f64 y)) |
| ✓ | cost-diff | 0 | (fma.f64 y y y) |
| ✓ | cost-diff | 192 | (fma.f64 #s(literal -1 binary64) (fma.f64 y y y) x) |
| ✓ | cost-diff | 0 | (-.f64 x y) |
| ✓ | cost-diff | 0 | (fma.f64 y x (-.f64 x y)) |
| ✓ | cost-diff | 0 | (fma.f64 y x x) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal -1 binary64) y) |
| ✓ | cost-diff | 0 | (/.f64 y (+.f64 #s(literal -1 binary64) y)) |
| 912× | lower-fma.f32 |
| 904× | lower-fma.f64 |
| 392× | lower-*.f64 |
| 392× | lower-*.f32 |
| 256× | lower-+.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 49 |
| 0 | 24 | 49 |
| 1 | 48 | 48 |
| 2 | 95 | 48 |
| 3 | 181 | 48 |
| 4 | 306 | 48 |
| 5 | 574 | 48 |
| 6 | 902 | 48 |
| 7 | 1177 | 48 |
| 8 | 1427 | 48 |
| 9 | 1457 | 48 |
| 10 | 1475 | 48 |
| 11 | 1485 | 48 |
| 12 | 1487 | 48 |
| 0 | 1487 | 48 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 y (+.f64 #s(literal -1 binary64) y)) |
y |
(+.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
(fma.f64 y x x) |
y |
x |
(fma.f64 y x (-.f64 x y)) |
y |
x |
(-.f64 x y) |
(fma.f64 #s(literal -1 binary64) (fma.f64 y y y) x) |
#s(literal -1 binary64) |
(fma.f64 y y y) |
y |
x |
(/.f64 x (neg.f64 y)) |
x |
(neg.f64 y) |
y |
| Outputs |
|---|
(/.f64 y (+.f64 #s(literal -1 binary64) y)) |
(/.f64 y (+.f64 y #s(literal -1 binary64))) |
y |
(+.f64 #s(literal -1 binary64) y) |
(+.f64 y #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(fma.f64 y x x) |
y |
x |
(fma.f64 y x (-.f64 x y)) |
(fma.f64 y (+.f64 #s(literal -1 binary64) x) x) |
y |
x |
(-.f64 x y) |
(fma.f64 #s(literal -1 binary64) (fma.f64 y y y) x) |
(-.f64 x (fma.f64 y y y)) |
#s(literal -1 binary64) |
(fma.f64 y y y) |
y |
x |
(/.f64 x (neg.f64 y)) |
x |
(neg.f64 y) |
y |
Found 9 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 x (neg.f64 y)) |
| ✓ | accuracy | 100.0% | (neg.f64 y) |
| ✓ | accuracy | 100.0% | (fma.f64 y y y) |
| ✓ | accuracy | 100.0% | (fma.f64 #s(literal -1 binary64) (fma.f64 y y y) x) |
| ✓ | accuracy | 100.0% | (fma.f64 y x (-.f64 x y)) |
| ✓ | accuracy | 100.0% | (-.f64 x y) |
| ✓ | accuracy | 100.0% | (fma.f64 y x x) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal -1 binary64) y) |
| ✓ | accuracy | 100.0% | (/.f64 y (+.f64 #s(literal -1 binary64) y)) |
| 31.0ms | 256× | 0 | valid |
Compiled 56 to 17 computations (69.6% saved)
ival-add: 6.0ms (35.5% of total)ival-mult: 5.0ms (29.6% of total)ival-div: 4.0ms (23.6% of total)ival-sub: 1.0ms (5.9% of total)ival-neg: 1.0ms (5.9% 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 y (+.f64 #s(literal -1 binary64) y))> |
#<alt (+.f64 #s(literal -1 binary64) y)> |
#<alt (fma.f64 y x x)> |
#<alt (fma.f64 y x (-.f64 x y))> |
#<alt (-.f64 x y)> |
#<alt (fma.f64 #s(literal -1 binary64) (fma.f64 y y y) x)> |
#<alt (fma.f64 y y y)> |
#<alt (/.f64 x (neg.f64 y))> |
#<alt (neg.f64 y)> |
| Outputs |
|---|
#<alt (* -1 y)> |
#<alt (* y (- (* -1 y) 1))> |
#<alt (* y (- (* y (- (* -1 y) 1)) 1))> |
#<alt (* y (- (* y (- (* y (- (* -1 y) 1)) 1)) 1))> |
#<alt 1> |
#<alt (+ 1 (/ 1 y))> |
#<alt (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))> |
#<alt (+ 1 (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3)))))> |
#<alt 1> |
#<alt (+ 1 (/ 1 y))> |
#<alt (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))> |
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y)))> |
#<alt -1> |
#<alt (- y 1)> |
#<alt (- y 1)> |
#<alt (- y 1)> |
#<alt y> |
#<alt (* y (- 1 (/ 1 y)))> |
#<alt (* y (- 1 (/ 1 y)))> |
#<alt (* y (- 1 (/ 1 y)))> |
#<alt y> |
#<alt (* -1 (* y (- (/ 1 y) 1)))> |
#<alt (* -1 (* y (- (/ 1 y) 1)))> |
#<alt (* -1 (* y (- (/ 1 y) 1)))> |
#<alt x> |
#<alt (+ x (* x y))> |
#<alt (+ x (* x y))> |
#<alt (+ x (* x y))> |
#<alt (* x y)> |
#<alt (* y (+ x (/ x y)))> |
#<alt (* y (+ x (/ x y)))> |
#<alt (* y (+ x (/ x y)))> |
#<alt (* x y)> |
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))> |
#<alt (* x (+ 1 y))> |
#<alt (* x (+ 1 y))> |
#<alt (* x (+ 1 y))> |
#<alt (* x (+ 1 y))> |
#<alt (* x (+ 1 y))> |
#<alt (* x (+ 1 y))> |
#<alt (* x (+ 1 y))> |
#<alt (* x (+ 1 y))> |
#<alt (* -1 (* x (- (* -1 y) 1)))> |
#<alt (* -1 (* x (- (* -1 y) 1)))> |
#<alt (* -1 (* x (- (* -1 y) 1)))> |
#<alt (* -1 (* x (- (* -1 y) 1)))> |
#<alt x> |
#<alt (+ x (* y (- x 1)))> |
#<alt (+ x (* y (- x 1)))> |
#<alt (+ x (* y (- x 1)))> |
#<alt (* y (- x 1))> |
#<alt (* y (- (+ x (/ x y)) 1))> |
#<alt (* y (- (+ x (/ x y)) 1))> |
#<alt (* y (- (+ x (/ x y)) 1))> |
#<alt (* -1 (* y (+ 1 (* -1 x))))> |
#<alt (* -1 (* y (+ 1 (+ (* -1 x) (* -1 (/ x y))))))> |
#<alt (* -1 (* y (+ 1 (+ (* -1 x) (* -1 (/ x y))))))> |
#<alt (* -1 (* y (+ 1 (+ (* -1 x) (* -1 (/ x y))))))> |
#<alt (* -1 y)> |
#<alt (- (* x (+ 1 y)) y)> |
#<alt (- (* x (+ 1 y)) y)> |
#<alt (- (* x (+ 1 y)) y)> |
#<alt (* x (+ 1 y))> |
#<alt (* x (+ 1 (+ y (* -1 (/ y x)))))> |
#<alt (* x (+ 1 (+ y (* -1 (/ y x)))))> |
#<alt (* x (+ 1 (+ y (* -1 (/ y x)))))> |
#<alt (* -1 (* x (- (* -1 y) 1)))> |
#<alt (* -1 (* x (- (+ (* -1 y) (/ y x)) 1)))> |
#<alt (* -1 (* x (- (+ (* -1 y) (/ y x)) 1)))> |
#<alt (* -1 (* x (- (+ (* -1 y) (/ y x)) 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 x> |
#<alt (+ x (* -1 y))> |
#<alt (+ x (* y (- (* -1 y) 1)))> |
#<alt (+ x (* y (- (* -1 y) 1)))> |
#<alt (* -1 (pow y 2))> |
#<alt (* -1 (* (pow y 2) (+ 1 (/ 1 y))))> |
#<alt (* (pow y 2) (- (/ x (pow y 2)) (+ 1 (/ 1 y))))> |
#<alt (* (pow y 2) (- (/ x (pow y 2)) (+ 1 (/ 1 y))))> |
#<alt (* -1 (pow y 2))> |
#<alt (* -1 (* (pow y 2) (+ 1 (/ 1 y))))> |
#<alt (* (pow y 2) (- (* -1 (/ (+ 1 (* -1 (/ x y))) y)) 1))> |
#<alt (* (pow y 2) (- (* -1 (/ (+ 1 (* -1 (/ x y))) y)) 1))> |
#<alt (* -1 (+ y (pow y 2)))> |
#<alt (+ x (* -1 (+ y (pow y 2))))> |
#<alt (+ x (* -1 (+ y (pow y 2))))> |
#<alt (+ x (* -1 (+ y (pow y 2))))> |
#<alt x> |
#<alt (* x (+ 1 (* -1 (/ (+ y (pow y 2)) x))))> |
#<alt (* x (+ 1 (* -1 (/ (+ y (pow y 2)) x))))> |
#<alt (* x (+ 1 (* -1 (/ (+ y (pow y 2)) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (+ (/ y x) (/ (pow y 2) x)) 1)))> |
#<alt (* -1 (* x (- (+ (/ y x) (/ (pow y 2) x)) 1)))> |
#<alt (* -1 (* x (- (+ (/ y x) (/ (pow y 2) x)) 1)))> |
#<alt y> |
#<alt (* y (+ 1 y))> |
#<alt (* y (+ 1 y))> |
#<alt (* y (+ 1 y))> |
#<alt (pow y 2)> |
#<alt (* (pow y 2) (+ 1 (/ 1 y)))> |
#<alt (* (pow y 2) (+ 1 (/ 1 y)))> |
#<alt (* (pow y 2) (+ 1 (/ 1 y)))> |
#<alt (pow y 2)> |
#<alt (* (pow y 2) (+ 1 (/ 1 y)))> |
#<alt (* (pow y 2) (+ 1 (/ 1 y)))> |
#<alt (* (pow y 2) (+ 1 (/ 1 y)))> |
#<alt (* -1 (/ x y))> |
#<alt (* -1 (/ x y))> |
#<alt (* -1 (/ x y))> |
#<alt (* -1 (/ x y))> |
#<alt (* -1 (/ x y))> |
#<alt (* -1 (/ x y))> |
#<alt (* -1 (/ x y))> |
#<alt (* -1 (/ x y))> |
#<alt (* -1 (/ x y))> |
#<alt (* -1 (/ x y))> |
#<alt (* -1 (/ x y))> |
#<alt (* -1 (/ x y))> |
#<alt (* -1 (/ x y))> |
#<alt (* -1 (/ x y))> |
#<alt (* -1 (/ x y))> |
#<alt (* -1 (/ x y))> |
#<alt (* -1 (/ x y))> |
#<alt (* -1 (/ x y))> |
#<alt (* -1 (/ x y))> |
#<alt (* -1 (/ x y))> |
#<alt (* -1 (/ x y))> |
#<alt (* -1 (/ x y))> |
#<alt (* -1 (/ x y))> |
#<alt (* -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)> |
42 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | 0 | (/ x (neg y)) |
| 1.0ms | x | @ | -inf | (+ (* y x) x) |
| 1.0ms | y | @ | inf | (/ x (neg y)) |
| 0.0ms | x | @ | inf | (+ (* y x) x) |
| 0.0ms | x | @ | 0 | (/ x (neg y)) |
| 1× | batch-egg-rewrite |
| 13 270× | lower-fma.f32 |
| 13 262× | lower-fma.f64 |
| 4 678× | lower-*.f64 |
| 4 678× | lower-*.f32 |
| 3 278× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 38 |
| 0 | 24 | 38 |
| 1 | 125 | 37 |
| 2 | 992 | 37 |
| 0 | 8564 | 37 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 y (+.f64 #s(literal -1 binary64) y)) |
(+.f64 #s(literal -1 binary64) y) |
(fma.f64 y x x) |
(fma.f64 y x (-.f64 x y)) |
(-.f64 x y) |
(fma.f64 #s(literal -1 binary64) (fma.f64 y y y) x) |
(fma.f64 y y y) |
(/.f64 x (neg.f64 y)) |
(neg.f64 y) |
| Outputs |
|---|
(+.f64 #s(literal 0 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))) |
(+.f64 (*.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (fma.f64 y y y)) (*.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (fma.f64 y y y))) |
(+.f64 (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal -1 binary64)) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 y))) |
(+.f64 (*.f64 (fma.f64 y y y) (/.f64 y (fma.f64 y (*.f64 y y) #s(literal -1 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 y (*.f64 y y) #s(literal -1 binary64))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 y (*.f64 y y) #s(literal -1 binary64)))) (*.f64 (fma.f64 y y y) (/.f64 y (fma.f64 y (*.f64 y y) #s(literal -1 binary64))))) |
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (*.f64 (neg.f64 y) (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) y)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(fma.f64 #s(literal -1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 (neg.f64 y) (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y))))) |
(fma.f64 (fma.f64 y y y) (/.f64 y (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 y (*.f64 y y) #s(literal -1 binary64))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (*.f64 (fma.f64 y y y) (/.f64 y (fma.f64 y (*.f64 y y) #s(literal -1 binary64))))) |
(fma.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (fma.f64 y y y) (*.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) #s(literal 1 binary64))) |
(fma.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) #s(literal 1 binary64) (*.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (fma.f64 y y y))) |
(fma.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal -1 binary64) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 y))) |
(neg.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (neg.f64 y))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal -1 binary64)) y))) |
(/.f64 y (+.f64 y #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) y)) |
(/.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal -1 binary64)) y)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 0 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y)))) (+.f64 #s(literal 0 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y)))) |
(pow.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) y) #s(literal -1 binary64)) |
(*.f64 y (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(literal -1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal -1 binary64)))) |
(*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) y) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (/.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 y (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (*.f64 (+.f64 y (fma.f64 y y #s(literal 1 binary64))) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 y y))) (neg.f64 (fma.f64 y y y))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 y y))) (/.f64 y (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1 binary64))))) |
(*.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) |
(*.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 y (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))))) |
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1 binary64))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1 binary64))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (fma.f64 y (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) y) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 y (*.f64 y y) #s(literal -1 binary64)))) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (-.f64 #s(literal -1 binary64) y)) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) (neg.f64 y)) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) y) |
(+.f64 y #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) y) |
(+.f64 (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal -1 binary64) y)))) |
(-.f64 y #s(literal 1 binary64)) |
(-.f64 #s(literal -1 binary64) (neg.f64 y)) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) y)) |
(-.f64 (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 y y) (-.f64 #s(literal -1 binary64) y))) |
(-.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))) |
(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))) |
(expm1.f64 (*.f64 (log.f64 y) #s(literal 1 binary64))) |
(fma.f64 y #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 y) #s(literal -1 binary64)) |
(fma.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 y) #s(literal -1 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) y #s(literal -1 binary64)) |
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(*.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 y y y) (*.f64 (fma.f64 y y y) (fma.f64 y y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x (fma.f64 y y y)) (*.f64 (fma.f64 y y y) (fma.f64 y y y))))) |
(*.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 y y y) (*.f64 (fma.f64 y y y) (fma.f64 y y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (fma.f64 y y y) (-.f64 (fma.f64 y y y) (neg.f64 x)))))) |
(*.f64 (fma.f64 x (+.f64 x (fma.f64 y y y)) (*.f64 (fma.f64 y y y) (fma.f64 y y y))) (*.f64 (-.f64 x (fma.f64 y y y)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x (fma.f64 y y y)) (*.f64 (fma.f64 y y y) (fma.f64 y y y)))))) |
(*.f64 (*.f64 (+.f64 (fma.f64 y y y) x) (-.f64 (fma.f64 y y y) x)) (/.f64 #s(literal -1 binary64) (+.f64 (fma.f64 y y y) x))) |
(*.f64 (neg.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 y y y) (*.f64 (fma.f64 y y y) (fma.f64 y y y))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (+.f64 x (fma.f64 y y y)) (*.f64 (fma.f64 y y y) (fma.f64 y y y)))))) |
(*.f64 (*.f64 (-.f64 x (fma.f64 y y y)) (+.f64 (fma.f64 y y y) x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y y y) x))) |
(*.f64 (*.f64 (-.f64 x (fma.f64 y y y)) (+.f64 x (fma.f64 y y y))) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 y y y)))) |
(+.f64 y (*.f64 y y)) |
(+.f64 (*.f64 y y) y) |
(+.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (-.f64 (*.f64 y y) y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 (*.f64 y y) y)))) |
(-.f64 (*.f64 y y) (neg.f64 y)) |
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 y y y))) |
(-.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (-.f64 (*.f64 y y) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 y y) y))) |
(-.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y (fma.f64 y (*.f64 y y) (-.f64 y (*.f64 y y))))) (/.f64 (*.f64 y (*.f64 y (neg.f64 y))) (*.f64 y (fma.f64 y (*.f64 y y) (-.f64 y (*.f64 y y)))))) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y (*.f64 y y))) (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (-.f64 y (*.f64 y y)))) |
(fma.f64 y y y) |
(fma.f64 y #s(literal 1 binary64) (*.f64 y y)) |
(fma.f64 y (+.f64 y #s(literal 0 binary64)) y) |
(fma.f64 #s(literal -1 binary64) (neg.f64 y) (*.f64 y y)) |
(fma.f64 #s(literal -1 binary64) (*.f64 y (neg.f64 y)) y) |
(fma.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y y)) |
(fma.f64 (neg.f64 y) #s(literal -1 binary64) (*.f64 y y)) |
(fma.f64 (neg.f64 y) (neg.f64 y) y) |
(fma.f64 (*.f64 y y) #s(literal 1 binary64) y) |
(fma.f64 (*.f64 y (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 (*.f64 y y) y)))) |
(fma.f64 #s(literal 1 binary64) y (*.f64 y y)) |
(fma.f64 #s(literal 1 binary64) (*.f64 y y) y) |
(fma.f64 (*.f64 y (neg.f64 y)) #s(literal -1 binary64) y) |
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) y) |
(fma.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64)) (*.f64 y y)) |
(neg.f64 (neg.f64 (fma.f64 y y y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y y)))) |
(/.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 y y)) y)) (*.f64 y (fma.f64 y (*.f64 y y) (-.f64 y (*.f64 y y))))) |
(/.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 y y)) y)) (fma.f64 y y (*.f64 (*.f64 y y) (-.f64 (*.f64 y y) y)))) |
(/.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 y y)) y)) (neg.f64 (neg.f64 (*.f64 y (fma.f64 y (*.f64 y y) (-.f64 y (*.f64 y y))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y y y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 (*.f64 y y) (-.f64 (*.f64 y y) y))) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 y y)) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y y)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (*.f64 y y) (fma.f64 y y #s(literal -1 binary64))) (-.f64 (*.f64 y y) y)) |
(/.f64 (*.f64 (*.f64 y y) (fma.f64 y y #s(literal -1 binary64))) (neg.f64 (-.f64 y (*.f64 y y)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 y y)) y))) (neg.f64 (*.f64 y (fma.f64 y (*.f64 y y) (-.f64 y (*.f64 y y)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 y y)) y))) (neg.f64 (fma.f64 y y (*.f64 (*.f64 y y) (-.f64 (*.f64 y y) y))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 y y) (fma.f64 y y #s(literal -1 binary64)))) (-.f64 y (*.f64 y y))) |
(/.f64 (*.f64 (*.f64 (*.f64 y y) (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64)) (-.f64 y (*.f64 y y))) |
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (-.f64 (*.f64 y y) y)) (*.f64 (-.f64 (*.f64 y y) y) (*.f64 y y))) (*.f64 (-.f64 (*.f64 y y) y) (-.f64 (*.f64 y y) y))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 y y)) y)))) (*.f64 y (fma.f64 y (*.f64 y y) (-.f64 y (*.f64 y y))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 y y)) y)))) (neg.f64 (neg.f64 (*.f64 y (fma.f64 y (*.f64 y y) (-.f64 y (*.f64 y y))))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 y y) (fma.f64 y y #s(literal -1 binary64))))) (-.f64 (*.f64 y y) y)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 y y) (fma.f64 y y #s(literal -1 binary64))))) (neg.f64 (-.f64 y (*.f64 y y)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 y y) (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64))) (-.f64 (*.f64 y y) y)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (-.f64 (*.f64 y y) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (-.f64 (*.f64 y y) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (-.f64 (*.f64 y y) y)) (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (-.f64 (*.f64 y y) y)) (fma.f64 (/.f64 (*.f64 y y) (-.f64 (*.f64 y y) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 y y) y)) (*.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (-.f64 (*.f64 y y) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 y y) y)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (-.f64 (*.f64 y y) y)) (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (-.f64 (*.f64 y y) y))) (*.f64 (/.f64 (*.f64 y y) (-.f64 (*.f64 y y) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 y y) y)))) (+.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (-.f64 (*.f64 y y) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 y y) y)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y y)) #s(literal -1 binary64)) |
(*.f64 y (+.f64 y #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 y y y))) |
(*.f64 (fma.f64 y y y) #s(literal 1 binary64)) |
(*.f64 (fma.f64 y y y) (*.f64 (-.f64 (*.f64 y y) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) y)))) |
(*.f64 (neg.f64 (fma.f64 y y y)) #s(literal -1 binary64)) |
(*.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 y y)) y)) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y (*.f64 y y) (-.f64 y (*.f64 y y)))))) |
(*.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 y y)) y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 (*.f64 y y) (-.f64 (*.f64 y y) y))))) |
(*.f64 (*.f64 y (fma.f64 y (*.f64 y y) (-.f64 y (*.f64 y y)))) (*.f64 (fma.f64 y y y) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y (*.f64 y y) (-.f64 y (*.f64 y y))))))) |
(*.f64 #s(literal 1 binary64) (fma.f64 y y y)) |
(*.f64 (*.f64 (*.f64 y y) (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) y))) |
(*.f64 (-.f64 #s(literal -1 binary64) y) (neg.f64 y)) |
(*.f64 (+.f64 y #s(literal 1 binary64)) y) |
(*.f64 (neg.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 y y)) y))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 y (fma.f64 y (*.f64 y y) (-.f64 y (*.f64 y y))))))) |
(*.f64 (neg.f64 (*.f64 (*.f64 y y) (fma.f64 y y #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 y (*.f64 y y)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 y y)) y))) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y (*.f64 y y) (-.f64 y (*.f64 y y)))))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (fma.f64 y y #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) y))) |
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) y) |
(*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) y) |
(+.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (neg.f64 x))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 x y)) |
(-.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 x y)) |
(neg.f64 (/.f64 x y)) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x)) |
(neg.f64 (/.f64 (*.f64 x #s(literal -1 binary64)) (neg.f64 y))) |
(/.f64 #s(literal -1 binary64) (/.f64 y x)) |
(/.f64 x (neg.f64 y)) |
(/.f64 (neg.f64 x) y) |
(/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal -1 binary64)))) |
(/.f64 (*.f64 x #s(literal -1 binary64)) y) |
(/.f64 (neg.f64 (*.f64 x #s(literal -1 binary64))) (neg.f64 y)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 x y) (/.f64 x y) (*.f64 #s(literal 0 binary64) (/.f64 x y))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 x y) (/.f64 x y))) (+.f64 #s(literal 0 binary64) (/.f64 x y))) |
(pow.f64 (/.f64 y (neg.f64 x)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 x y)) |
(*.f64 x (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 y))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) x) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 x y) #s(literal -1 binary64)) |
(*.f64 (*.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (pow.f64 (/.f64 y (neg.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (neg.f64 x)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) y)) |
(+.f64 #s(literal 0 binary64) (neg.f64 y)) |
(-.f64 #s(literal 0 binary64) y) |
(-.f64 #s(literal 0 binary64) (/.f64 y #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) y) |
(-.f64 (/.f64 #s(literal 0 binary64) y) y) |
(neg.f64 y) |
(neg.f64 (/.f64 y #s(literal 1 binary64))) |
(/.f64 y #s(literal -1 binary64)) |
(/.f64 (neg.f64 y) #s(literal 1 binary64)) |
(/.f64 (*.f64 y y) (neg.f64 y)) |
(/.f64 (*.f64 y (*.f64 y y)) (*.f64 y (neg.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 y (*.f64 y (neg.f64 y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y (neg.f64 y)))) |
(/.f64 (*.f64 y (neg.f64 y)) y) |
(/.f64 (*.f64 y (*.f64 y (neg.f64 y))) (*.f64 y y)) |
(*.f64 y #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) y) |
(*.f64 (neg.f64 y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (neg.f64 y)) |
(*.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (*.f64 y (*.f64 y (neg.f64 y))) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
| 1× | egg-herbie |
| 9 910× | lower-fma.f64 |
| 9 910× | lower-fma.f32 |
| 2 648× | lower-*.f64 |
| 2 648× | lower-*.f32 |
| 2 242× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 107 | 778 |
| 1 | 304 | 763 |
| 2 | 798 | 757 |
| 3 | 2187 | 755 |
| 4 | 5575 | 743 |
| 0 | 8157 | 676 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 y) |
(* y (- (* -1 y) 1)) |
(* y (- (* y (- (* -1 y) 1)) 1)) |
(* y (- (* y (- (* y (- (* -1 y) 1)) 1)) 1)) |
1 |
(+ 1 (/ 1 y)) |
(+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) |
(+ 1 (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))) |
1 |
(+ 1 (/ 1 y)) |
(+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y))) |
-1 |
(- y 1) |
(- y 1) |
(- y 1) |
y |
(* y (- 1 (/ 1 y))) |
(* y (- 1 (/ 1 y))) |
(* y (- 1 (/ 1 y))) |
y |
(* -1 (* y (- (/ 1 y) 1))) |
(* -1 (* y (- (/ 1 y) 1))) |
(* -1 (* y (- (/ 1 y) 1))) |
x |
(+ x (* x y)) |
(+ x (* x y)) |
(+ x (* x y)) |
(* x y) |
(* y (+ x (/ x y))) |
(* y (+ x (/ x y))) |
(* y (+ x (/ x y))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (* -1 y) 1))) |
x |
(+ x (* y (- x 1))) |
(+ x (* y (- x 1))) |
(+ x (* y (- x 1))) |
(* y (- x 1)) |
(* y (- (+ x (/ x y)) 1)) |
(* y (- (+ x (/ x y)) 1)) |
(* y (- (+ x (/ x y)) 1)) |
(* -1 (* y (+ 1 (* -1 x)))) |
(* -1 (* y (+ 1 (+ (* -1 x) (* -1 (/ x y)))))) |
(* -1 (* y (+ 1 (+ (* -1 x) (* -1 (/ x y)))))) |
(* -1 (* y (+ 1 (+ (* -1 x) (* -1 (/ x y)))))) |
(* -1 y) |
(- (* x (+ 1 y)) y) |
(- (* x (+ 1 y)) y) |
(- (* x (+ 1 y)) y) |
(* x (+ 1 y)) |
(* x (+ 1 (+ y (* -1 (/ y x))))) |
(* x (+ 1 (+ y (* -1 (/ y x))))) |
(* x (+ 1 (+ y (* -1 (/ y x))))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (+ (* -1 y) (/ y x)) 1))) |
(* -1 (* x (- (+ (* -1 y) (/ y x)) 1))) |
(* -1 (* x (- (+ (* -1 y) (/ y x)) 1))) |
(* -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))))) |
x |
(+ x (* -1 y)) |
(+ x (* y (- (* -1 y) 1))) |
(+ x (* y (- (* -1 y) 1))) |
(* -1 (pow y 2)) |
(* -1 (* (pow y 2) (+ 1 (/ 1 y)))) |
(* (pow y 2) (- (/ x (pow y 2)) (+ 1 (/ 1 y)))) |
(* (pow y 2) (- (/ x (pow y 2)) (+ 1 (/ 1 y)))) |
(* -1 (pow y 2)) |
(* -1 (* (pow y 2) (+ 1 (/ 1 y)))) |
(* (pow y 2) (- (* -1 (/ (+ 1 (* -1 (/ x y))) y)) 1)) |
(* (pow y 2) (- (* -1 (/ (+ 1 (* -1 (/ x y))) y)) 1)) |
(* -1 (+ y (pow y 2))) |
(+ x (* -1 (+ y (pow y 2)))) |
(+ x (* -1 (+ y (pow y 2)))) |
(+ x (* -1 (+ y (pow y 2)))) |
x |
(* x (+ 1 (* -1 (/ (+ y (pow y 2)) x)))) |
(* x (+ 1 (* -1 (/ (+ y (pow y 2)) x)))) |
(* x (+ 1 (* -1 (/ (+ y (pow y 2)) x)))) |
x |
(* -1 (* x (- (+ (/ y x) (/ (pow y 2) x)) 1))) |
(* -1 (* x (- (+ (/ y x) (/ (pow y 2) x)) 1))) |
(* -1 (* x (- (+ (/ y x) (/ (pow y 2) x)) 1))) |
y |
(* y (+ 1 y)) |
(* y (+ 1 y)) |
(* y (+ 1 y)) |
(pow y 2) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(pow y 2) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
| Outputs |
|---|
(* -1 y) |
(neg.f64 y) |
(* y (- (* -1 y) 1)) |
(*.f64 y (-.f64 #s(literal -1 binary64) y)) |
(* y (- (* y (- (* -1 y) 1)) 1)) |
(neg.f64 (fma.f64 y (fma.f64 y y y) y)) |
(* y (- (* y (- (* y (- (* -1 y) 1)) 1)) 1)) |
(*.f64 y (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y))) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ 1 y)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) |
(+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 y y))) |
(+ 1 (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 y y))) y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ 1 y)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) |
(+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 y y))) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 y y))) y)) |
-1 |
#s(literal -1 binary64) |
(- y 1) |
(+.f64 #s(literal -1 binary64) y) |
(- y 1) |
(+.f64 #s(literal -1 binary64) y) |
(- y 1) |
(+.f64 #s(literal -1 binary64) y) |
y |
(* y (- 1 (/ 1 y))) |
(+.f64 #s(literal -1 binary64) y) |
(* y (- 1 (/ 1 y))) |
(+.f64 #s(literal -1 binary64) y) |
(* y (- 1 (/ 1 y))) |
(+.f64 #s(literal -1 binary64) y) |
y |
(* -1 (* y (- (/ 1 y) 1))) |
(+.f64 #s(literal -1 binary64) y) |
(* -1 (* y (- (/ 1 y) 1))) |
(+.f64 #s(literal -1 binary64) y) |
(* -1 (* y (- (/ 1 y) 1))) |
(+.f64 #s(literal -1 binary64) y) |
x |
(+ x (* x y)) |
(fma.f64 y x x) |
(+ x (* x y)) |
(fma.f64 y x x) |
(+ x (* x y)) |
(fma.f64 y x x) |
(* x y) |
(*.f64 y x) |
(* y (+ x (/ x y))) |
(fma.f64 y x x) |
(* y (+ x (/ x y))) |
(fma.f64 y x x) |
(* y (+ x (/ x y))) |
(fma.f64 y x x) |
(* x y) |
(*.f64 y x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(fma.f64 y x x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(fma.f64 y x x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(fma.f64 y x x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 y x x) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 y x x) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 y x x) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 y x x) |
x |
(+ x (* y (- x 1))) |
(-.f64 (fma.f64 y x x) y) |
(+ x (* y (- x 1))) |
(-.f64 (fma.f64 y x x) y) |
(+ x (* y (- x 1))) |
(-.f64 (fma.f64 y x x) y) |
(* y (- x 1)) |
(-.f64 (*.f64 y x) y) |
(* y (- (+ x (/ x y)) 1)) |
(-.f64 (fma.f64 y x x) y) |
(* y (- (+ x (/ x y)) 1)) |
(-.f64 (fma.f64 y x x) y) |
(* y (- (+ x (/ x y)) 1)) |
(-.f64 (fma.f64 y x x) y) |
(* -1 (* y (+ 1 (* -1 x)))) |
(-.f64 (*.f64 y x) y) |
(* -1 (* y (+ 1 (+ (* -1 x) (* -1 (/ x y)))))) |
(-.f64 (fma.f64 y x x) y) |
(* -1 (* y (+ 1 (+ (* -1 x) (* -1 (/ x y)))))) |
(-.f64 (fma.f64 y x x) y) |
(* -1 (* y (+ 1 (+ (* -1 x) (* -1 (/ x y)))))) |
(-.f64 (fma.f64 y x x) y) |
(* -1 y) |
(neg.f64 y) |
(- (* x (+ 1 y)) y) |
(-.f64 (fma.f64 y x x) y) |
(- (* x (+ 1 y)) y) |
(-.f64 (fma.f64 y x x) y) |
(- (* x (+ 1 y)) y) |
(-.f64 (fma.f64 y x x) y) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 (+ y (* -1 (/ y x))))) |
(-.f64 (fma.f64 y x x) y) |
(* x (+ 1 (+ y (* -1 (/ y x))))) |
(-.f64 (fma.f64 y x x) y) |
(* x (+ 1 (+ y (* -1 (/ y x))))) |
(-.f64 (fma.f64 y x x) y) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 y x x) |
(* -1 (* x (- (+ (* -1 y) (/ y x)) 1))) |
(-.f64 (fma.f64 y x x) y) |
(* -1 (* x (- (+ (* -1 y) (/ y x)) 1))) |
(-.f64 (fma.f64 y x x) y) |
(* -1 (* x (- (+ (* -1 y) (/ y x)) 1))) |
(-.f64 (fma.f64 y x x) y) |
(* -1 y) |
(neg.f64 y) |
(- x y) |
(-.f64 x y) |
(- x y) |
(-.f64 x y) |
(- x y) |
(-.f64 x y) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(-.f64 x y) |
(* x (+ 1 (* -1 (/ y x)))) |
(-.f64 x y) |
(* x (+ 1 (* -1 (/ y x)))) |
(-.f64 x y) |
x |
(* -1 (* x (- (/ y x) 1))) |
(-.f64 x y) |
(* -1 (* x (- (/ y x) 1))) |
(-.f64 x y) |
(* -1 (* x (- (/ y x) 1))) |
(-.f64 x y) |
x |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ x y) 1)) |
(-.f64 x y) |
(* y (- (/ x y) 1)) |
(-.f64 x y) |
(* y (- (/ x y) 1)) |
(-.f64 x y) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 x y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 x y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 x y) |
x |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* y (- (* -1 y) 1))) |
(fma.f64 y (-.f64 #s(literal -1 binary64) y) x) |
(+ x (* y (- (* -1 y) 1))) |
(fma.f64 y (-.f64 #s(literal -1 binary64) y) x) |
(* -1 (pow y 2)) |
(*.f64 y (neg.f64 y)) |
(* -1 (* (pow y 2) (+ 1 (/ 1 y)))) |
(*.f64 y (-.f64 #s(literal -1 binary64) y)) |
(* (pow y 2) (- (/ x (pow y 2)) (+ 1 (/ 1 y)))) |
(fma.f64 y (-.f64 #s(literal -1 binary64) y) x) |
(* (pow y 2) (- (/ x (pow y 2)) (+ 1 (/ 1 y)))) |
(fma.f64 y (-.f64 #s(literal -1 binary64) y) x) |
(* -1 (pow y 2)) |
(*.f64 y (neg.f64 y)) |
(* -1 (* (pow y 2) (+ 1 (/ 1 y)))) |
(*.f64 y (-.f64 #s(literal -1 binary64) y)) |
(* (pow y 2) (- (* -1 (/ (+ 1 (* -1 (/ x y))) y)) 1)) |
(fma.f64 y (-.f64 #s(literal -1 binary64) y) x) |
(* (pow y 2) (- (* -1 (/ (+ 1 (* -1 (/ x y))) y)) 1)) |
(fma.f64 y (-.f64 #s(literal -1 binary64) y) x) |
(* -1 (+ y (pow y 2))) |
(*.f64 y (-.f64 #s(literal -1 binary64) y)) |
(+ x (* -1 (+ y (pow y 2)))) |
(fma.f64 y (-.f64 #s(literal -1 binary64) y) x) |
(+ x (* -1 (+ y (pow y 2)))) |
(fma.f64 y (-.f64 #s(literal -1 binary64) y) x) |
(+ x (* -1 (+ y (pow y 2)))) |
(fma.f64 y (-.f64 #s(literal -1 binary64) y) x) |
x |
(* x (+ 1 (* -1 (/ (+ y (pow y 2)) x)))) |
(fma.f64 y (-.f64 #s(literal -1 binary64) y) x) |
(* x (+ 1 (* -1 (/ (+ y (pow y 2)) x)))) |
(fma.f64 y (-.f64 #s(literal -1 binary64) y) x) |
(* x (+ 1 (* -1 (/ (+ y (pow y 2)) x)))) |
(fma.f64 y (-.f64 #s(literal -1 binary64) y) x) |
x |
(* -1 (* x (- (+ (/ y x) (/ (pow y 2) x)) 1))) |
(fma.f64 y (-.f64 #s(literal -1 binary64) y) x) |
(* -1 (* x (- (+ (/ y x) (/ (pow y 2) x)) 1))) |
(fma.f64 y (-.f64 #s(literal -1 binary64) y) x) |
(* -1 (* x (- (+ (/ y x) (/ (pow y 2) x)) 1))) |
(fma.f64 y (-.f64 #s(literal -1 binary64) y) x) |
y |
(* y (+ 1 y)) |
(fma.f64 y y y) |
(* y (+ 1 y)) |
(fma.f64 y y y) |
(* y (+ 1 y)) |
(fma.f64 y y y) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(fma.f64 y y y) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(fma.f64 y y y) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(fma.f64 y y y) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(fma.f64 y y y) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(fma.f64 y y y) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(fma.f64 y y y) |
(* -1 (/ x y)) |
(/.f64 x (neg.f64 y)) |
(* -1 (/ x y)) |
(/.f64 x (neg.f64 y)) |
(* -1 (/ x y)) |
(/.f64 x (neg.f64 y)) |
(* -1 (/ x y)) |
(/.f64 x (neg.f64 y)) |
(* -1 (/ x y)) |
(/.f64 x (neg.f64 y)) |
(* -1 (/ x y)) |
(/.f64 x (neg.f64 y)) |
(* -1 (/ x y)) |
(/.f64 x (neg.f64 y)) |
(* -1 (/ x y)) |
(/.f64 x (neg.f64 y)) |
(* -1 (/ x y)) |
(/.f64 x (neg.f64 y)) |
(* -1 (/ x y)) |
(/.f64 x (neg.f64 y)) |
(* -1 (/ x y)) |
(/.f64 x (neg.f64 y)) |
(* -1 (/ x y)) |
(/.f64 x (neg.f64 y)) |
(* -1 (/ x y)) |
(/.f64 x (neg.f64 y)) |
(* -1 (/ x y)) |
(/.f64 x (neg.f64 y)) |
(* -1 (/ x y)) |
(/.f64 x (neg.f64 y)) |
(* -1 (/ x y)) |
(/.f64 x (neg.f64 y)) |
(* -1 (/ x y)) |
(/.f64 x (neg.f64 y)) |
(* -1 (/ x y)) |
(/.f64 x (neg.f64 y)) |
(* -1 (/ x y)) |
(/.f64 x (neg.f64 y)) |
(* -1 (/ x y)) |
(/.f64 x (neg.f64 y)) |
(* -1 (/ x y)) |
(/.f64 x (neg.f64 y)) |
(* -1 (/ x y)) |
(/.f64 x (neg.f64 y)) |
(* -1 (/ x y)) |
(/.f64 x (neg.f64 y)) |
(* -1 (/ x y)) |
(/.f64 x (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 y) |
(neg.f64 y) |
Compiled 10 860 to 1 287 computations (88.1% saved)
14 alts after pruning (9 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 679 | 4 | 683 |
| Fresh | 1 | 5 | 6 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 682 | 14 | 696 |
| Status | Accuracy | Program |
|---|---|---|
| 37.4% | (fma.f64 y (fma.f64 y x x) x) | |
| ✓ | 37.3% | (fma.f64 y x x) |
| 28.7% | (/.f64 (fma.f64 y y y) (fma.f64 y y #s(literal -1 binary64))) | |
| ▶ | 51.4% | (/.f64 (-.f64 x y) (neg.f64 y)) |
| ✓ | 51.5% | (/.f64 y (+.f64 #s(literal -1 binary64) y)) |
| ✓ | 50.7% | (/.f64 x (-.f64 #s(literal 1 binary64) y)) |
| ✓ | 15.8% | (/.f64 x (neg.f64 y)) |
| 49.2% | (-.f64 x y) | |
| ▶ | 51.4% | (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y)) |
| ▶ | 37.3% | (*.f64 (+.f64 y #s(literal 1 binary64)) x) |
| 14.9% | (*.f64 y (-.f64 #s(literal -1 binary64) y)) | |
| ▶ | 2.6% | (*.f64 y (neg.f64 y)) |
| ▶ | 15.2% | (neg.f64 y) |
| ✓ | 38.3% | #s(literal 1 binary64) |
Compiled 159 to 102 computations (35.8% saved)
| 1× | egg-herbie |
Found 11 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 1 binary64)) |
| ✓ | cost-diff | 128 | (*.f64 (+.f64 y #s(literal 1 binary64)) x) |
| ✓ | cost-diff | 0 | (neg.f64 y) |
| ✓ | cost-diff | 0 | (*.f64 y (neg.f64 y)) |
| ✓ | cost-diff | 0 | (neg.f64 y) |
| ✓ | cost-diff | 0 | (neg.f64 x) |
| ✓ | cost-diff | 0 | (/.f64 (neg.f64 x) y) |
| ✓ | cost-diff | 128 | (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y)) |
| 360× | lower-fma.f64 |
| 360× | lower-fma.f32 |
| 232× | lower-*.f32 |
| 228× | lower-*.f64 |
| 138× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 49 |
| 0 | 21 | 49 |
| 1 | 42 | 47 |
| 2 | 82 | 47 |
| 3 | 147 | 47 |
| 4 | 241 | 47 |
| 5 | 468 | 47 |
| 6 | 619 | 47 |
| 7 | 699 | 47 |
| 8 | 773 | 47 |
| 9 | 796 | 47 |
| 10 | 796 | 47 |
| 0 | 796 | 46 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y)) |
#s(literal 1 binary64) |
(/.f64 (neg.f64 x) y) |
(neg.f64 x) |
x |
y |
(neg.f64 y) |
y |
(*.f64 y (neg.f64 y)) |
y |
(neg.f64 y) |
(*.f64 (+.f64 y #s(literal 1 binary64)) x) |
(+.f64 y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
x |
(/.f64 (-.f64 x y) (neg.f64 y)) |
(-.f64 x y) |
x |
y |
(neg.f64 y) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y)) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
#s(literal 1 binary64) |
(/.f64 (neg.f64 x) y) |
(neg.f64 (/.f64 x y)) |
(neg.f64 x) |
x |
y |
(neg.f64 y) |
y |
(*.f64 y (neg.f64 y)) |
y |
(neg.f64 y) |
(*.f64 (+.f64 y #s(literal 1 binary64)) x) |
(fma.f64 x y x) |
(+.f64 y #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) y) |
y |
#s(literal 1 binary64) |
x |
(/.f64 (-.f64 x y) (neg.f64 y)) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(-.f64 x y) |
x |
y |
(neg.f64 y) |
Found 11 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 1 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 (+.f64 y #s(literal 1 binary64)) x) |
| ✓ | accuracy | 100.0% | (*.f64 y (neg.f64 y)) |
| ✓ | accuracy | 100.0% | (neg.f64 y) |
| ✓ | accuracy | 100.0% | (neg.f64 y) |
| ✓ | accuracy | 100.0% | (/.f64 (neg.f64 x) y) |
| ✓ | accuracy | 100.0% | (neg.f64 x) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y)) |
| 26.0ms | 256× | 0 | valid |
Compiled 51 to 14 computations (72.5% saved)
ival-div: 4.0ms (30.8% of total)ival-mult: 3.0ms (23.1% of total)ival-add: 2.0ms (15.4% of total)ival-neg: 2.0ms (15.4% of total)ival-sub: 1.0ms (7.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y))> |
#<alt (/.f64 (neg.f64 x) y)> |
#<alt (neg.f64 x)> |
#<alt (neg.f64 y)> |
#<alt (*.f64 y (neg.f64 y))> |
#<alt (*.f64 (+.f64 y #s(literal 1 binary64)) x)> |
#<alt (+.f64 y #s(literal 1 binary64))> |
#<alt (/.f64 (-.f64 x y) (neg.f64 y))> |
#<alt (-.f64 x y)> |
| Outputs |
|---|
#<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 (/ x y))> |
#<alt (* -1 (/ x y))> |
#<alt (* -1 (/ x y))> |
#<alt (* -1 (/ x y))> |
#<alt (* -1 (/ x y))> |
#<alt (* -1 (/ x y))> |
#<alt (* -1 (/ x y))> |
#<alt (* -1 (/ x y))> |
#<alt (* -1 (/ x y))> |
#<alt (* -1 (/ x y))> |
#<alt (* -1 (/ x y))> |
#<alt (* -1 (/ x y))> |
#<alt (* -1 (/ x y))> |
#<alt (* -1 (/ x y))> |
#<alt (* -1 (/ x y))> |
#<alt (* -1 (/ x y))> |
#<alt (* -1 (/ x y))> |
#<alt (* -1 (/ x y))> |
#<alt (* -1 (/ x y))> |
#<alt (* -1 (/ x y))> |
#<alt (* -1 (/ x y))> |
#<alt (* -1 (/ x y))> |
#<alt (* -1 (/ x y))> |
#<alt (* -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 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 (pow y 2))> |
#<alt (* -1 (pow y 2))> |
#<alt (* -1 (pow y 2))> |
#<alt (* -1 (pow y 2))> |
#<alt (* -1 (pow y 2))> |
#<alt (* -1 (pow y 2))> |
#<alt (* -1 (pow y 2))> |
#<alt (* -1 (pow y 2))> |
#<alt (* -1 (pow y 2))> |
#<alt (* -1 (pow y 2))> |
#<alt (* -1 (pow y 2))> |
#<alt (* -1 (pow y 2))> |
#<alt x> |
#<alt (+ x (* x y))> |
#<alt (+ x (* x y))> |
#<alt (+ x (* x y))> |
#<alt (* x y)> |
#<alt (* y (+ x (/ x y)))> |
#<alt (* y (+ x (/ x y)))> |
#<alt (* y (+ x (/ x y)))> |
#<alt (* x y)> |
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))> |
#<alt (* x (+ 1 y))> |
#<alt (* x (+ 1 y))> |
#<alt (* x (+ 1 y))> |
#<alt (* x (+ 1 y))> |
#<alt (* x (+ 1 y))> |
#<alt (* x (+ 1 y))> |
#<alt (* x (+ 1 y))> |
#<alt (* x (+ 1 y))> |
#<alt (* x (+ 1 y))> |
#<alt (* x (+ 1 y))> |
#<alt (* x (+ 1 y))> |
#<alt (* x (+ 1 y))> |
#<alt 1> |
#<alt (+ 1 y)> |
#<alt (+ 1 y)> |
#<alt (+ 1 y)> |
#<alt y> |
#<alt (* y (+ 1 (/ 1 y)))> |
#<alt (* y (+ 1 (/ 1 y)))> |
#<alt (* y (+ 1 (/ 1 y)))> |
#<alt y> |
#<alt (* y (+ 1 (/ 1 y)))> |
#<alt (* y (+ 1 (/ 1 y)))> |
#<alt (* y (+ 1 (/ 1 y)))> |
#<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 (- 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)))))> |
42 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (* (+ y 1) x) |
| 0.0ms | y | @ | inf | (* y (neg y)) |
| 0.0ms | y | @ | inf | (/ (- x y) (neg y)) |
| 0.0ms | y | @ | 0 | (/ (neg x) y) |
| 0.0ms | x | @ | -inf | (* (+ y 1) x) |
| 1× | batch-egg-rewrite |
| 4 460× | lower-fma.f64 |
| 4 460× | lower-fma.f32 |
| 3 648× | lower-*.f32 |
| 3 644× | lower-*.f64 |
| 3 604× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 35 |
| 0 | 21 | 35 |
| 1 | 87 | 33 |
| 2 | 624 | 33 |
| 0 | 8812 | 32 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y)) |
(/.f64 (neg.f64 x) y) |
(neg.f64 x) |
(neg.f64 y) |
(*.f64 y (neg.f64 y)) |
(*.f64 (+.f64 y #s(literal 1 binary64)) x) |
(+.f64 y #s(literal 1 binary64)) |
(/.f64 (-.f64 x y) (neg.f64 y)) |
(-.f64 x y) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 y))) |
(+.f64 (/.f64 x (neg.f64 y)) #s(literal 1 binary64)) |
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x y))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x y))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (*.f64 y y))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 y x))) #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(-.f64 (/.f64 x (neg.f64 y)) #s(literal -1 binary64)) |
(-.f64 #s(literal 0 binary64) (+.f64 (/.f64 x y) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x y))) (/.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (*.f64 y y)))) |
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 y (+.f64 x y)))) (neg.f64 y)) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x x (*.f64 y (+.f64 x y)))) (neg.f64 y))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (neg.f64 y)) (/.f64 (/.f64 (*.f64 y y) (+.f64 x y)) (neg.f64 y))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (neg.f64 y) (fma.f64 x x (*.f64 y (+.f64 x y))))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (neg.f64 y) (fma.f64 x x (*.f64 y (+.f64 x y)))))) |
(-.f64 (/.f64 (*.f64 x x) (neg.f64 (*.f64 y (+.f64 x y)))) (/.f64 (*.f64 y y) (neg.f64 (*.f64 y (+.f64 x y))))) |
(-.f64 (/.f64 (*.f64 x (neg.f64 y)) (*.f64 y y)) #s(literal -1 binary64)) |
(-.f64 (/.f64 (/.f64 (*.f64 (neg.f64 x) (*.f64 x x)) (*.f64 y (*.f64 y y))) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (+.f64 (/.f64 x (neg.f64 y)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (neg.f64 y)) #s(literal -1 binary64)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 y)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x y))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (*.f64 y y))))) |
(fma.f64 x (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(fma.f64 (/.f64 x (neg.f64 y)) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 x) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) x #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal 1 binary64)) |
(fma.f64 (/.f64 x y) #s(literal -1 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 x (*.f64 y (neg.f64 y))) y #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (*.f64 y y))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (*.f64 y (neg.f64 y))) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 x y)) (neg.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (*.f64 y y))))) |
(fma.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) |
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (/.f64 (neg.f64 y) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (neg.f64 y) x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 x (*.f64 y (*.f64 y (neg.f64 y)))) (*.f64 y y) #s(literal 1 binary64)) |
(neg.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (fma.f64 (*.f64 x x) (/.f64 x (*.f64 y (*.f64 y (neg.f64 y)))) #s(literal 1 binary64)) (neg.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64))))) |
(neg.f64 (/.f64 (fma.f64 x (/.f64 x (*.f64 y (neg.f64 y))) #s(literal 1 binary64)) (+.f64 (/.f64 x (neg.f64 y)) #s(literal -1 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 x x) (/.f64 x (*.f64 y (*.f64 y (neg.f64 y)))) #s(literal 1 binary64))) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (*.f64 y y))) (+.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 y x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 (neg.f64 y) (-.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 #s(literal 1 binary64) (/.f64 x y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 x y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x (neg.f64 y)) #s(literal -1 binary64)) (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 1 binary64)) |
(/.f64 (-.f64 x y) (neg.f64 y)) |
(/.f64 (-.f64 y x) y) |
(/.f64 (fma.f64 (*.f64 x x) (/.f64 x (*.f64 y (*.f64 y (neg.f64 y)))) #s(literal 1 binary64)) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (+.f64 x y)))) (*.f64 (neg.f64 y) (fma.f64 x x (*.f64 y (+.f64 x y))))) |
(/.f64 (*.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (+.f64 x y)))) (*.f64 (neg.f64 (fma.f64 x x (*.f64 y (+.f64 x y)))) y)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 x y))) |
(/.f64 #s(literal -1 binary64) (/.f64 y (-.f64 x y))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) y)) |
(/.f64 (fma.f64 x (/.f64 x (*.f64 y (neg.f64 y))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (neg.f64 (*.f64 y (+.f64 x y)))) |
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (*.f64 (neg.f64 (+.f64 x y)) y)) |
(/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (neg.f64 y) (-.f64 x y)) (*.f64 y y)) |
(/.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 y x)) (*.f64 y (fma.f64 x x (*.f64 y (+.f64 x y))))) |
(/.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 y x)) (*.f64 (neg.f64 y) (neg.f64 (fma.f64 x x (*.f64 y (+.f64 x y)))))) |
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (*.f64 y (+.f64 x y))) |
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (*.f64 (neg.f64 y) (neg.f64 (+.f64 x y)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) (/.f64 x (*.f64 y (*.f64 y (neg.f64 y)))) #s(literal 1 binary64))) (neg.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (*.f64 y y))) (+.f64 (/.f64 x (neg.f64 y)) #s(literal -1 binary64))) |
(/.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 x) (*.f64 x x)) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal 1 binary64)) (*.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 (neg.f64 x) (*.f64 x x)) (*.f64 y (*.f64 y y))) (-.f64 (/.f64 (*.f64 (neg.f64 x) (*.f64 x x)) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (neg.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) (*.f64 (*.f64 (neg.f64 y) (fma.f64 x x (*.f64 y (+.f64 x y)))) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (+.f64 x y))))) (*.f64 (*.f64 (neg.f64 y) (fma.f64 x x (*.f64 y (+.f64 x y)))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (+.f64 x y))))) (*.f64 (neg.f64 (*.f64 y (+.f64 x y))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (*.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal -1 binary64)) (+.f64 (/.f64 x (neg.f64 y)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (-.f64 x y) (+.f64 x y))) (*.f64 (neg.f64 (*.f64 y (+.f64 x y))) (fma.f64 x x (*.f64 y y)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 #s(literal 1 binary64) (/.f64 x y))) (fma.f64 x x (*.f64 y (+.f64 x y)))) |
(/.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x y)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x)) (*.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64))) |
(/.f64 (-.f64 (neg.f64 y) (/.f64 (*.f64 y (neg.f64 y)) x)) (/.f64 (*.f64 y y) x)) |
(/.f64 (-.f64 y (/.f64 (*.f64 y y) x)) (/.f64 (*.f64 y (neg.f64 y)) x)) |
(/.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y (neg.f64 y))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) #s(literal 1 binary64))) (/.f64 (neg.f64 y) x)) |
(/.f64 (-.f64 y (*.f64 (/.f64 y x) y)) (*.f64 (/.f64 y x) (neg.f64 y))) |
(/.f64 (-.f64 (neg.f64 y) (*.f64 (/.f64 y x) (neg.f64 y))) (*.f64 (/.f64 y x) y)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x y))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 (*.f64 x x) (*.f64 y y)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(/.f64 (*.f64 (*.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (+.f64 x y)))) #s(literal -1 binary64)) (*.f64 y (fma.f64 x x (*.f64 y (+.f64 x y))))) |
(/.f64 (*.f64 (*.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (+.f64 x y)))) #s(literal -1 binary64)) (*.f64 (neg.f64 (fma.f64 x x (*.f64 y (+.f64 x y)))) (neg.f64 y))) |
(/.f64 (*.f64 (*.f64 (-.f64 x y) (+.f64 x y)) #s(literal -1 binary64)) (*.f64 y (+.f64 x y))) |
(/.f64 (*.f64 (*.f64 (-.f64 x y) (+.f64 x y)) #s(literal -1 binary64)) (*.f64 (neg.f64 (+.f64 x y)) (neg.f64 y))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 y x)) #s(literal 1 binary64)) (*.f64 y (fma.f64 x x (*.f64 y (+.f64 x y))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 y x)) #s(literal 1 binary64)) (*.f64 (neg.f64 (fma.f64 x x (*.f64 y (+.f64 x y)))) (neg.f64 y))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 y x)) #s(literal -1 binary64)) (*.f64 (neg.f64 y) (fma.f64 x x (*.f64 y (+.f64 x y))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 y x)) #s(literal -1 binary64)) (*.f64 (neg.f64 (fma.f64 x x (*.f64 y (+.f64 x y)))) y)) |
(/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) #s(literal 1 binary64)) (*.f64 y (+.f64 x y))) |
(/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) #s(literal 1 binary64)) (*.f64 (neg.f64 (+.f64 x y)) (neg.f64 y))) |
(/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) #s(literal -1 binary64)) (neg.f64 (*.f64 y (+.f64 x y)))) |
(/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) #s(literal -1 binary64)) (*.f64 (neg.f64 (+.f64 x y)) y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 y x))) (*.f64 (neg.f64 y) (neg.f64 (fma.f64 x x (*.f64 y (+.f64 x y)))))) |
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(*.f64 (*.f64 (-.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 (fma.f64 x (/.f64 x (*.f64 y (neg.f64 y))) #s(literal 1 binary64)) (fma.f64 x (/.f64 x (*.f64 y (neg.f64 y))) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 x y))) |
(*.f64 (/.f64 (-.f64 x y) (*.f64 y (neg.f64 y))) y) |
(*.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 y (neg.f64 y)))) (*.f64 y y)) |
(*.f64 (/.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 #s(literal 1 binary64) (/.f64 x y))) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (+.f64 x y)) (*.f64 (*.f64 y (+.f64 x y)) (*.f64 y (+.f64 x y)))))) (fma.f64 (*.f64 y (+.f64 x y)) (-.f64 (*.f64 y (+.f64 x y)) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 #s(literal 1 binary64) (/.f64 x y))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))) (-.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) |
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 x y))) (*.f64 (-.f64 x y) (+.f64 x y))) (-.f64 x y)) |
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 x y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (fma.f64 x x (*.f64 y (-.f64 y x)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (/.f64 x (*.f64 y (*.f64 y (neg.f64 y)))) #s(literal 1 binary64)) (fma.f64 (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (+.f64 (/.f64 x (neg.f64 y)) #s(literal -1 binary64)) (+.f64 (/.f64 x (neg.f64 y)) #s(literal -1 binary64)))) #s(literal 1 binary64))) (fma.f64 (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -1 binary64))) (-.f64 (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (/.f64 x (*.f64 y (*.f64 y (neg.f64 y)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (+.f64 (/.f64 x (neg.f64 y)) #s(literal -1 binary64)) (+.f64 (/.f64 x (neg.f64 y)) #s(literal -1 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -1 binary64))))) |
(*.f64 (/.f64 (fma.f64 x (/.f64 x (*.f64 y (neg.f64 y))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(+.f64 x (neg.f64 y)) |
(+.f64 (neg.f64 y) x) |
(+.f64 #s(literal 0 binary64) (-.f64 x y)) |
(+.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 y (+.f64 x y)))) (neg.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x x (*.f64 y (+.f64 x y)))))) |
(+.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (+.f64 x y)))) |
(+.f64 (-.f64 x #s(literal 0 binary64)) (neg.f64 y)) |
(-.f64 x y) |
(-.f64 (neg.f64 y) (neg.f64 x)) |
(-.f64 #s(literal 0 binary64) (-.f64 y x)) |
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 y (+.f64 x y)))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x x (*.f64 y (+.f64 x y))))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (/.f64 (*.f64 y y) (+.f64 x y))) |
(fma.f64 #s(literal 1 binary64) x (neg.f64 y)) |
(fma.f64 #s(literal 1 binary64) (neg.f64 y) x) |
(fma.f64 x #s(literal 1 binary64) (neg.f64 y)) |
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 x x (*.f64 y (+.f64 x y)))) (neg.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x x (*.f64 y (+.f64 x y)))))) |
(fma.f64 x (/.f64 x (+.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (+.f64 x y)))) |
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (neg.f64 y)) |
(fma.f64 y #s(literal -1 binary64) x) |
(fma.f64 (neg.f64 y) #s(literal 1 binary64) x) |
(fma.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) y) x) |
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 x y)))) (neg.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x x (*.f64 y (+.f64 x y)))))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (+.f64 x y)))) |
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x x (*.f64 y (+.f64 x y)))) (neg.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x x (*.f64 y (+.f64 x y)))))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (neg.f64 y)) |
(fma.f64 #s(literal -1 binary64) y x) |
(fma.f64 (*.f64 y (*.f64 y (neg.f64 y))) (/.f64 #s(literal 1 binary64) (*.f64 y y)) x) |
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 x x (*.f64 y (+.f64 x y)))) (neg.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x x (*.f64 y (+.f64 x y)))))) |
(fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (+.f64 x y)) (*.f64 (*.f64 y (+.f64 x y)) (*.f64 y (+.f64 x y)))))) (fma.f64 (*.f64 y (+.f64 x y)) (-.f64 (*.f64 y (+.f64 x y)) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))) (neg.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x x (*.f64 y (+.f64 x y)))))) |
(fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))) (-.f64 (*.f64 x x) (*.f64 y (+.f64 x y))) (neg.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x x (*.f64 y (+.f64 x y)))))) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 x y) (+.f64 x y))) (-.f64 x y) (neg.f64 (/.f64 (*.f64 y y) (+.f64 x y)))) |
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (fma.f64 x x (*.f64 y (-.f64 y x))) (neg.f64 (/.f64 (*.f64 y y) (+.f64 x y)))) |
(neg.f64 (-.f64 y x)) |
(/.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) (fma.f64 x x (*.f64 y (+.f64 x y)))) (fma.f64 x x (*.f64 y (+.f64 x y)))) |
(/.f64 (*.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (+.f64 x y)))) (neg.f64 (neg.f64 (fma.f64 x x (*.f64 y (+.f64 x y)))))) |
(/.f64 (*.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (+.f64 x y)))) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 x (neg.f64 y))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)))) |
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 x y)) |
(/.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 y x)) (neg.f64 (fma.f64 x x (*.f64 y (+.f64 x y))))) |
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (neg.f64 (+.f64 x y))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (neg.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (+.f64 x y))))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (+.f64 x y))))) (*.f64 (+.f64 x y) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y)))))) |
(/.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 (*.f64 x x)) (fma.f64 x x (*.f64 y (+.f64 x y)))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (*.f64 y (*.f64 y y)))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (fma.f64 x x (*.f64 y (+.f64 x 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 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (neg.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (fma.f64 x x (*.f64 y (+.f64 x y))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (+.f64 x y))))) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 x x (*.f64 y (+.f64 x y))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (+.f64 x y))))) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y)))) (+.f64 x y))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (-.f64 x y) (+.f64 x y))) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (*.f64 y y)) (+.f64 x y))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 y x)) #s(literal 1 binary64)) (neg.f64 (fma.f64 x x (*.f64 y (+.f64 x y))))) |
(/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) #s(literal 1 binary64)) (neg.f64 (+.f64 x y))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 y x))) (fma.f64 x x (*.f64 y (+.f64 x y)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 y x))) (neg.f64 (neg.f64 (fma.f64 x x (*.f64 y (+.f64 x y)))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 y x))) (+.f64 x y)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 y (+.f64 x y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x x (*.f64 y (+.f64 x y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 y (+.f64 x y)))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 y (+.f64 x y)))) (fma.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x x (*.f64 y (+.f64 x y)))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x x (*.f64 y (+.f64 x y)))) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 y (+.f64 x y)))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x x (*.f64 y (+.f64 x y)))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y 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 (*.f64 y y) (+.f64 x y)) (/.f64 (*.f64 y y) (+.f64 x y)) (*.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (/.f64 (*.f64 y y) (+.f64 x y)))))) |
(/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (-.f64 (neg.f64 y) x)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 y (+.f64 x y)))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 y (+.f64 x y))))) (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x x (*.f64 y (+.f64 x y)))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x x (*.f64 y (+.f64 x y)))))) (fma.f64 x (/.f64 (*.f64 x x) (fma.f64 x x (*.f64 y (+.f64 x y)))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x x (*.f64 y (+.f64 x y)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (/.f64 (*.f64 x x) (+.f64 x y))) (*.f64 (/.f64 (*.f64 y y) (+.f64 x y)) (/.f64 (*.f64 y y) (+.f64 x y)))) (fma.f64 x (/.f64 x (+.f64 x y)) (/.f64 (*.f64 y y) (+.f64 x y)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (neg.f64 (*.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 x (*.f64 y (+.f64 x y))))) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) (*.f64 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 x (*.f64 y (+.f64 x y))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 x y))))) (fma.f64 x (*.f64 x x) (*.f64 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 x (*.f64 y (+.f64 x y))))) (/.f64 #s(literal 1 binary64) (+.f64 x y))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y))))) |
(/.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))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (-.f64 x y)) |
(*.f64 (-.f64 x y) #s(literal 1 binary64)) |
(*.f64 (*.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (+.f64 x y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 x y))))) |
(*.f64 (*.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (+.f64 x y)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 x y)))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (+.f64 x y))))) |
(*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 x y)))))) |
(*.f64 #s(literal -1 binary64) (-.f64 y x)) |
(*.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 x y))) |
(*.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal 1 binary64))) |
(*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (+.f64 x y))) |
(*.f64 (+.f64 x y) (*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x y)))) |
(*.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x (*.f64 y (+.f64 x y)))))) |
(*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 x y)))) (*.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (+.f64 x y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (*.f64 (-.f64 x y) (+.f64 x y))) |
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (*.f64 (-.f64 x y) (+.f64 x y))) (-.f64 x y)) |
(*.f64 (/.f64 (*.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (+.f64 x y)))) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (+.f64 x y)) (*.f64 (*.f64 y (+.f64 x y)) (*.f64 y (+.f64 x y)))))) (fma.f64 (*.f64 y (+.f64 x y)) (-.f64 (*.f64 y (+.f64 x y)) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(*.f64 (/.f64 (*.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (+.f64 x y)))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))) (-.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) |
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (fma.f64 x x (*.f64 y (-.f64 y x)))) |
| 1× | egg-herbie |
| 3 458× | lower-*.f64 |
| 3 458× | lower-*.f32 |
| 2 816× | lower-fma.f64 |
| 2 816× | lower-fma.f32 |
| 1 960× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 643 |
| 1 | 129 | 607 |
| 2 | 309 | 607 |
| 3 | 731 | 607 |
| 4 | 1612 | 607 |
| 5 | 2529 | 607 |
| 6 | 3292 | 607 |
| 7 | 3783 | 607 |
| 8 | 4004 | 607 |
| 9 | 4094 | 607 |
| 10 | 5799 | 607 |
| 11 | 6607 | 607 |
| 12 | 6841 | 607 |
| 13 | 7646 | 607 |
| 0 | 8045 | 586 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
x |
(+ x (* x y)) |
(+ x (* x y)) |
(+ x (* x y)) |
(* x y) |
(* y (+ x (/ x y))) |
(* y (+ x (/ x y))) |
(* y (+ x (/ x y))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
1 |
(+ 1 y) |
(+ 1 y) |
(+ 1 y) |
y |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
y |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
1 |
(+ 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) |
(- 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))))) |
| Outputs |
|---|
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 (neg.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)) |
(* x (- (/ 1 x) (/ 1 y))) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(* -1 (/ x y)) |
(/.f64 (neg.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 (- (/ 1 y) (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(/ (+ y (* -1 x)) y) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(/ (+ y (* -1 x)) y) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(/ (+ y (* -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 |
#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 (neg.f64 x) y) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) 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 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 (pow y 2)) |
(neg.f64 (*.f64 y y)) |
(* -1 (pow y 2)) |
(neg.f64 (*.f64 y y)) |
(* -1 (pow y 2)) |
(neg.f64 (*.f64 y y)) |
(* -1 (pow y 2)) |
(neg.f64 (*.f64 y y)) |
(* -1 (pow y 2)) |
(neg.f64 (*.f64 y y)) |
(* -1 (pow y 2)) |
(neg.f64 (*.f64 y y)) |
(* -1 (pow y 2)) |
(neg.f64 (*.f64 y y)) |
(* -1 (pow y 2)) |
(neg.f64 (*.f64 y y)) |
(* -1 (pow y 2)) |
(neg.f64 (*.f64 y y)) |
(* -1 (pow y 2)) |
(neg.f64 (*.f64 y y)) |
(* -1 (pow y 2)) |
(neg.f64 (*.f64 y y)) |
(* -1 (pow y 2)) |
(neg.f64 (*.f64 y y)) |
x |
(+ x (* x y)) |
(fma.f64 x y x) |
(+ x (* x y)) |
(fma.f64 x y x) |
(+ x (* x y)) |
(fma.f64 x y x) |
(* x y) |
(*.f64 x y) |
(* y (+ x (/ x y))) |
(fma.f64 x y x) |
(* y (+ x (/ x y))) |
(fma.f64 x y x) |
(* y (+ x (/ x y))) |
(fma.f64 x y x) |
(* x y) |
(*.f64 x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(fma.f64 x y x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(fma.f64 x y x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(fma.f64 x y x) |
(* x (+ 1 y)) |
(fma.f64 x y x) |
(* x (+ 1 y)) |
(fma.f64 x y x) |
(* x (+ 1 y)) |
(fma.f64 x y x) |
(* x (+ 1 y)) |
(fma.f64 x y x) |
(* x (+ 1 y)) |
(fma.f64 x y x) |
(* x (+ 1 y)) |
(fma.f64 x y x) |
(* x (+ 1 y)) |
(fma.f64 x y x) |
(* x (+ 1 y)) |
(fma.f64 x y x) |
(* x (+ 1 y)) |
(fma.f64 x y x) |
(* x (+ 1 y)) |
(fma.f64 x y x) |
(* x (+ 1 y)) |
(fma.f64 x y x) |
(* x (+ 1 y)) |
(fma.f64 x y x) |
1 |
#s(literal 1 binary64) |
(+ 1 y) |
(+.f64 #s(literal 1 binary64) y) |
(+ 1 y) |
(+.f64 #s(literal 1 binary64) y) |
(+ 1 y) |
(+.f64 #s(literal 1 binary64) y) |
y |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
y |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ 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 (neg.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)) |
(* x (- (/ 1 x) (/ 1 y))) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(* -1 (/ x y)) |
(/.f64 (neg.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 (- (/ 1 y) (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(/ (+ y (* -1 x)) y) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(/ (+ y (* -1 x)) y) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(/ (+ y (* -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 |
#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) |
(- x y) |
(-.f64 x y) |
(- x y) |
(-.f64 x y) |
(- x y) |
(-.f64 x y) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(-.f64 x y) |
(* x (+ 1 (* -1 (/ y x)))) |
(-.f64 x y) |
(* x (+ 1 (* -1 (/ y x)))) |
(-.f64 x y) |
x |
(* -1 (* x (- (/ y x) 1))) |
(-.f64 x y) |
(* -1 (* x (- (/ y x) 1))) |
(-.f64 x y) |
(* -1 (* x (- (/ y x) 1))) |
(-.f64 x y) |
x |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ x y) 1)) |
(-.f64 x y) |
(* y (- (/ x y) 1)) |
(-.f64 x y) |
(* y (- (/ x y) 1)) |
(-.f64 x y) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 x y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 x y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 x y) |
Compiled 14 913 to 1 369 computations (90.8% saved)
14 alts after pruning (6 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 947 | 2 | 949 |
| Fresh | 0 | 4 | 4 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 5 | 5 |
| Total | 949 | 14 | 963 |
| Status | Accuracy | Program |
|---|---|---|
| 37.4% | (fma.f64 y (fma.f64 y x x) x) | |
| ✓ | 37.3% | (fma.f64 y x x) |
| 28.7% | (/.f64 (fma.f64 y y y) (fma.f64 y y #s(literal -1 binary64))) | |
| 51.4% | (/.f64 (-.f64 y x) y) | |
| ✓ | 51.5% | (/.f64 y (+.f64 #s(literal -1 binary64) y)) |
| ✓ | 50.7% | (/.f64 x (-.f64 #s(literal 1 binary64) y)) |
| ✓ | 15.8% | (/.f64 x (neg.f64 y)) |
| 49.2% | (-.f64 x y) | |
| 51.4% | (-.f64 #s(literal 1 binary64) (/.f64 x y)) | |
| ✓ | 37.3% | (*.f64 (+.f64 y #s(literal 1 binary64)) x) |
| 14.9% | (*.f64 y (-.f64 #s(literal -1 binary64) y)) | |
| ✓ | 2.6% | (*.f64 y (neg.f64 y)) |
| ✓ | 15.2% | (neg.f64 y) |
| ✓ | 38.3% | #s(literal 1 binary64) |
Compiled 228 to 102 computations (55.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(neg.f64 y) |
(-.f64 x y) |
(fma.f64 y x x) |
(*.f64 y (neg.f64 y)) |
(*.f64 y (-.f64 #s(literal -1 binary64) y)) |
(*.f64 (+.f64 y #s(literal 1 binary64)) x) |
(-.f64 (fma.f64 y x x) y) |
(fma.f64 y x (-.f64 x y)) |
(/.f64 x #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (fma.f64 y y y) x) |
(fma.f64 y (fma.f64 y x x) x) |
(/.f64 x (neg.f64 y)) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(/.f64 y (+.f64 #s(literal -1 binary64) y)) |
(/.f64 (-.f64 y x) y) |
(fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x) |
(+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y)) |
(/.f64 (-.f64 x y) (neg.f64 y)) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 (fma.f64 y y y) (fma.f64 y y #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) |
| Outputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
3 calls:
| 167.0ms | y |
| 7.0ms | x |
| 7.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(neg.f64 y) |
(-.f64 x y) |
(fma.f64 y x x) |
(*.f64 y (neg.f64 y)) |
(*.f64 y (-.f64 #s(literal -1 binary64) y)) |
(*.f64 (+.f64 y #s(literal 1 binary64)) x) |
(-.f64 (fma.f64 y x x) y) |
(fma.f64 y x (-.f64 x y)) |
(/.f64 x #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (fma.f64 y y y) x) |
(fma.f64 y (fma.f64 y x x) x) |
(/.f64 x (neg.f64 y)) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(/.f64 y (+.f64 #s(literal -1 binary64) y)) |
(/.f64 (-.f64 y x) y) |
(fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x) |
(+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y)) |
(/.f64 (-.f64 x y) (neg.f64 y)) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
3 calls:
| 8.0ms | x |
| 6.0ms | y |
| 6.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.2% | 3 | x |
| 99.0% | 3 | y |
| 99.2% | 4 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(neg.f64 y) |
(-.f64 x y) |
(fma.f64 y x x) |
(*.f64 y (neg.f64 y)) |
(*.f64 y (-.f64 #s(literal -1 binary64) y)) |
(*.f64 (+.f64 y #s(literal 1 binary64)) x) |
(-.f64 (fma.f64 y x x) y) |
(fma.f64 y x (-.f64 x y)) |
(/.f64 x #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (fma.f64 y y y) x) |
(fma.f64 y (fma.f64 y x x) x) |
(/.f64 x (neg.f64 y)) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(/.f64 y (+.f64 #s(literal -1 binary64) y)) |
(/.f64 (-.f64 y x) y) |
(fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x) |
(+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y)) |
(/.f64 (-.f64 x y) (neg.f64 y)) |
| Outputs |
|---|
(/.f64 (-.f64 y x) y) |
(fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
1 calls:
| 6.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 3 | y |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(neg.f64 y) |
(-.f64 x y) |
(fma.f64 y x x) |
(*.f64 y (neg.f64 y)) |
(*.f64 y (-.f64 #s(literal -1 binary64) y)) |
(*.f64 (+.f64 y #s(literal 1 binary64)) x) |
(-.f64 (fma.f64 y x x) y) |
(fma.f64 y x (-.f64 x y)) |
(/.f64 x #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (fma.f64 y y y) x) |
(fma.f64 y (fma.f64 y x x) x) |
(/.f64 x (neg.f64 y)) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(/.f64 y (+.f64 #s(literal -1 binary64) y)) |
(/.f64 (-.f64 y x) y) |
| Outputs |
|---|
(/.f64 (-.f64 y x) y) |
(-.f64 (fma.f64 y x x) y) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
1 calls:
| 7.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 3 | y |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(neg.f64 y) |
(-.f64 x y) |
(fma.f64 y x x) |
(*.f64 y (neg.f64 y)) |
(*.f64 y (-.f64 #s(literal -1 binary64) y)) |
(*.f64 (+.f64 y #s(literal 1 binary64)) x) |
(-.f64 (fma.f64 y x x) y) |
(fma.f64 y x (-.f64 x y)) |
(/.f64 x #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (fma.f64 y y y) x) |
(fma.f64 y (fma.f64 y x x) x) |
(/.f64 x (neg.f64 y)) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(/.f64 y (+.f64 #s(literal -1 binary64) y)) |
| Outputs |
|---|
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(-.f64 (fma.f64 y x x) y) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
1 calls:
| 5.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 3 | y |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(neg.f64 y) |
(-.f64 x y) |
(fma.f64 y x x) |
(*.f64 y (neg.f64 y)) |
(*.f64 y (-.f64 #s(literal -1 binary64) y)) |
(*.f64 (+.f64 y #s(literal 1 binary64)) x) |
(-.f64 (fma.f64 y x x) y) |
(fma.f64 y x (-.f64 x y)) |
(/.f64 x #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (fma.f64 y y y) x) |
(fma.f64 y (fma.f64 y x x) x) |
(/.f64 x (neg.f64 y)) |
| Outputs |
|---|
(fma.f64 #s(literal -1 binary64) (fma.f64 y y y) x) |
#s(literal 1 binary64) |
(/.f64 x (neg.f64 y)) |
(fma.f64 y (fma.f64 y x x) x) |
2 calls:
| 5.0ms | y |
| 4.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.8% | 4 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 85.0% | 3 | y |
Compiled 12 to 8 computations (33.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(neg.f64 y) |
(-.f64 x y) |
(fma.f64 y x x) |
(*.f64 y (neg.f64 y)) |
(*.f64 y (-.f64 #s(literal -1 binary64) y)) |
(*.f64 (+.f64 y #s(literal 1 binary64)) x) |
(-.f64 (fma.f64 y x x) y) |
(fma.f64 y x (-.f64 x y)) |
(/.f64 x #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (fma.f64 y y y) x) |
(fma.f64 y (fma.f64 y x x) x) |
| Outputs |
|---|
(fma.f64 #s(literal -1 binary64) (fma.f64 y y y) x) |
#s(literal 1 binary64) |
(fma.f64 y (fma.f64 y x x) x) |
1 calls:
| 24.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.3% | 3 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
Compiled 9 to 6 computations (33.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(neg.f64 y) |
(-.f64 x y) |
(fma.f64 y x x) |
(*.f64 y (neg.f64 y)) |
(*.f64 y (-.f64 #s(literal -1 binary64) y)) |
(*.f64 (+.f64 y #s(literal 1 binary64)) x) |
(-.f64 (fma.f64 y x x) y) |
(fma.f64 y x (-.f64 x y)) |
(/.f64 x #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (fma.f64 y y y) x) |
| Outputs |
|---|
(fma.f64 #s(literal -1 binary64) (fma.f64 y y y) x) |
#s(literal 1 binary64) |
(*.f64 (+.f64 y #s(literal 1 binary64)) x) |
1 calls:
| 4.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.2% | 3 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
Compiled 9 to 6 computations (33.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(neg.f64 y) |
(-.f64 x y) |
(fma.f64 y x x) |
(*.f64 y (neg.f64 y)) |
(*.f64 y (-.f64 #s(literal -1 binary64) y)) |
(*.f64 (+.f64 y #s(literal 1 binary64)) x) |
(-.f64 (fma.f64 y x x) y) |
(fma.f64 y x (-.f64 x y)) |
(/.f64 x #s(literal 1 binary64)) |
| Outputs |
|---|
#s(literal 1 binary64) |
(-.f64 (fma.f64 y x x) y) |
#s(literal 1 binary64) |
2 calls:
| 4.0ms | y |
| 4.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.0% | 3 | y |
| 84.6% | 3 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
Compiled 12 to 8 computations (33.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(neg.f64 y) |
(-.f64 x y) |
(fma.f64 y x x) |
(*.f64 y (neg.f64 y)) |
(*.f64 y (-.f64 #s(literal -1 binary64) y)) |
(*.f64 (+.f64 y #s(literal 1 binary64)) x) |
| Outputs |
|---|
(-.f64 x y) |
#s(literal 1 binary64) |
(*.f64 (+.f64 y #s(literal 1 binary64)) x) |
2 calls:
| 31.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.6% | 3 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 84.4% | 3 | y |
Compiled 12 to 8 computations (33.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(neg.f64 y) |
(-.f64 x y) |
(fma.f64 y x x) |
(*.f64 y (neg.f64 y)) |
(*.f64 y (-.f64 #s(literal -1 binary64) y)) |
| Outputs |
|---|
(-.f64 x y) |
#s(literal 1 binary64) |
(fma.f64 y x x) |
1 calls:
| 3.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.6% | 3 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
Compiled 9 to 6 computations (33.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(neg.f64 y) |
(-.f64 x y) |
| Outputs |
|---|
#s(literal 1 binary64) |
(-.f64 x y) |
#s(literal 1 binary64) |
2 calls:
| 2.0ms | y |
| 2.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.4% | 3 | y |
| 84.3% | 3 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
Compiled 12 to 8 computations (33.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(neg.f64 y) |
| Outputs |
|---|
(neg.f64 y) |
#s(literal 1 binary64) |
3 calls:
| 2.0ms | x |
| 2.0ms | y |
| 1.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 38.3% | 1 | x |
| 50.7% | 2 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 50.3% | 3 | y |
Compiled 15 to 10 computations (33.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(literal 1 binary64) |
| Outputs |
|---|
#s(literal 1 binary64) |
2 calls:
| 1.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 38.3% | 1 | y |
| 38.3% | 1 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
Compiled 12 to 8 computations (33.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 9.0ms | 0.0002598833244464752 | 2.360603879021125 |
| 345.0ms | -7.935652507732889 | -9.897689401427506e-6 |
| 10.0ms | 272× | 0 | valid |
Compiled 386 to 249 computations (35.5% saved)
ival-sub: 3.0ms (59.9% of total)ival-div: 2.0ms (39.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.0002598833244464752 | 2.360603879021125 |
| 5.0ms | -7.935652507732889 | -9.897689401427506e-6 |
| 2.0ms | 64× | 0 | valid |
Compiled 352 to 223 computations (36.6% saved)
ival-sub: 1.0ms (91.2% of total)ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.0002598833244464752 | 2.360603879021125 |
| 12.0ms | -7.935652507732889 | -9.897689401427506e-6 |
| 2.0ms | 48× | 0 | valid |
Compiled 301 to 189 computations (37.2% saved)
ival-sub: 0.0ms (0% of total)ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.0002598833244464752 | 2.360603879021125 |
| 1.0ms | -7.935652507732889 | -9.897689401427506e-6 |
Compiled 301 to 198 computations (34.2% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.23108669038411e+85 | 2.088156811324281e+96 |
| 0.0ms | 1.00000008925265 | 1212599712.7723203 |
| 0.0ms | 9.89759143814163e-6 | 0.2374070558478477 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1212599712.7723203 | 121651142880161.56 |
| 0.0ms | 9.89759143814163e-6 | 0.2374070558478477 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1212599712.7723203 | 121651142880161.56 |
| 0.0ms | 9.89759143814163e-6 | 0.2374070558478477 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.0002598833244464752 | 2.360603879021125 |
| 1.0ms | -7.935652507732889 | -9.897689401427506e-6 |
Compiled 233 to 164 computations (29.6% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1212599712.7723203 | 121651142880161.56 |
| 0.0ms | 9.89759143814163e-6 | 0.2374070558478477 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1212599712.7723203 | 121651142880161.56 |
| 0.0ms | 9.89759143814163e-6 | 0.2374070558478477 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.0002598833244464752 | 2.360603879021125 |
| 12.0ms | -8835496826862306000.0 | -3916151404438.74 |
| 7.0ms | 144× | 0 | valid |
Compiled 182 to 147 computations (19.2% saved)
ival-sub: 3.0ms (77% of total)ival-div: 1.0ms (25.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 9.89759143814163e-6 | 0.2374070558478477 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | egg-herbie |
| 24× | +-commutative_binary64 |
| 18× | sub-neg_binary64 |
| 8× | *-commutative_binary64 |
| 6× | neg-sub0_binary64 |
| 6× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 330 |
| 1 | 81 | 330 |
| 2 | 94 | 330 |
| 3 | 99 | 330 |
| 4 | 101 | 330 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
(if (<=.f64 y #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (if (<=.f64 y #s(literal 1 binary64)) (fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))) |
(if (<=.f64 y #s(literal -7926335344172073/9007199254740992 binary64)) (/.f64 (-.f64 y x) y) (if (<=.f64 y #s(literal 1 binary64)) (fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x) (-.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(if (<=.f64 y #s(literal -3602879701896397/4503599627370496 binary64)) (/.f64 (-.f64 y x) y) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 (fma.f64 y x x) y) (-.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(if (<=.f64 y #s(literal -3602879701896397/4503599627370496 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y)) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 (fma.f64 y x x) y) (-.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 5902958103587057/590295810358705651712 binary64)) (fma.f64 #s(literal -1 binary64) (fma.f64 y y y) x) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(literal 1 binary64) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 100000000000000001463069523067487303097004298786465505927861078716979636425114821591040 binary64)) (/.f64 x (neg.f64 y)) (fma.f64 y (fma.f64 y x x) x)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 5902958103587057/590295810358705651712 binary64)) (fma.f64 #s(literal -1 binary64) (fma.f64 y y y) x) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 2000000000 binary64)) #s(literal 1 binary64) (fma.f64 y (fma.f64 y x x) x))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 5902958103587057/590295810358705651712 binary64)) (fma.f64 #s(literal -1 binary64) (fma.f64 y y y) x) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 2000000000 binary64)) #s(literal 1 binary64) (*.f64 (+.f64 y #s(literal 1 binary64)) x))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 (fma.f64 y x x) y) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 5902958103587057/590295810358705651712 binary64)) (-.f64 x y) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 2000000000 binary64)) #s(literal 1 binary64) (*.f64 (+.f64 y #s(literal 1 binary64)) x))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 5902958103587057/590295810358705651712 binary64)) (-.f64 x y) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 2000000000 binary64)) #s(literal 1 binary64) (fma.f64 y x x))) |
(if (<=.f64 y #s(literal -4000000000000 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 x y) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 5902958103587057/590295810358705651712 binary64)) (neg.f64 y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
(if (<=.f64 y #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (if (<=.f64 y #s(literal 1 binary64)) (fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))) |
(if (<=.f64 y #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (if (<=.f64 y #s(literal 1 binary64)) (fma.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 y y y) x) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))) |
(if (<=.f64 y #s(literal -7926335344172073/9007199254740992 binary64)) (/.f64 (-.f64 y x) y) (if (<=.f64 y #s(literal 1 binary64)) (fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x) (-.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(if (<=.f64 y #s(literal -7926335344172073/9007199254740992 binary64)) (/.f64 (-.f64 y x) y) (if (<=.f64 y #s(literal 1 binary64)) (fma.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 y y y) x) (-.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(if (<=.f64 y #s(literal -3602879701896397/4503599627370496 binary64)) (/.f64 (-.f64 y x) y) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 (fma.f64 y x x) y) (-.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(if (<=.f64 y #s(literal -3602879701896397/4503599627370496 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y)) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 (fma.f64 y x x) y) (-.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 5902958103587057/590295810358705651712 binary64)) (fma.f64 #s(literal -1 binary64) (fma.f64 y y y) x) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(literal 1 binary64) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 100000000000000001463069523067487303097004298786465505927861078716979636425114821591040 binary64)) (/.f64 x (neg.f64 y)) (fma.f64 y (fma.f64 y x x) x)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 5902958103587057/590295810358705651712 binary64)) (fma.f64 #s(literal -1 binary64) (fma.f64 y y y) x) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 2000000000 binary64)) #s(literal 1 binary64) (fma.f64 y (fma.f64 y x x) x))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 5902958103587057/590295810358705651712 binary64)) (fma.f64 #s(literal -1 binary64) (fma.f64 y y y) x) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 2000000000 binary64)) #s(literal 1 binary64) (*.f64 (+.f64 y #s(literal 1 binary64)) x))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 5902958103587057/590295810358705651712 binary64)) (fma.f64 #s(literal -1 binary64) (fma.f64 y y y) x) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 2000000000 binary64)) #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal 1 binary64))))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 (fma.f64 y x x) y) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 5902958103587057/590295810358705651712 binary64)) (-.f64 x y) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 2000000000 binary64)) #s(literal 1 binary64) (*.f64 (+.f64 y #s(literal 1 binary64)) x))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 5902958103587057/590295810358705651712 binary64)) (-.f64 x y) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 2000000000 binary64)) #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 5902958103587057/590295810358705651712 binary64)) (-.f64 x y) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 2000000000 binary64)) #s(literal 1 binary64) (fma.f64 y x x))) |
(if (<=.f64 y #s(literal -4000000000000 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 x y) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 5902958103587057/590295810358705651712 binary64)) (neg.f64 y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
| 21 382× | lower-fma.f64 |
| 21 382× | lower-fma.f32 |
| 13 832× | lower-fma.f64 |
| 13 832× | lower-fma.f32 |
| 13 270× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 38 |
| 0 | 24 | 38 |
| 1 | 125 | 37 |
| 2 | 992 | 37 |
| 0 | 8564 | 37 |
| 0 | 12 | 35 |
| 0 | 21 | 35 |
| 1 | 87 | 33 |
| 2 | 624 | 33 |
| 0 | 8812 | 32 |
| 0 | 107 | 778 |
| 1 | 304 | 763 |
| 2 | 798 | 757 |
| 3 | 2187 | 755 |
| 4 | 5575 | 743 |
| 0 | 8157 | 676 |
| 0 | 96 | 384 |
| 1 | 281 | 358 |
| 2 | 788 | 338 |
| 3 | 2735 | 311 |
| 4 | 7419 | 311 |
| 0 | 8107 | 302 |
| 0 | 233 | 1771 |
| 1 | 708 | 1598 |
| 2 | 2122 | 1497 |
| 3 | 7493 | 1494 |
| 0 | 8592 | 1415 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 778 to 347 computations (55.4% saved)
Compiled 682 to 138 computations (79.8% saved)
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