
Time bar (total: 6.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 9 to 8 computations (11.1% saved)
| 422.0ms | 8 254× | 0 | valid |
| 0.0ms | 1× | 2 | valid |
| 0.0ms | 1× | 1 | valid |
ival-add: 88.0ms (43% of total)ival-mult: 61.0ms (29.8% of total)ival-sub: 42.0ms (20.5% of total)exact: 5.0ms (2.4% of total)ival-true: 5.0ms (2.4% of total)ival-assert: 3.0ms (1.5% of total)adjust: 0.0ms (0% of total)| 2× | egg-herbie |
| 496× | accelerator-lowering-fma.f32 |
| 496× | accelerator-lowering-fma.f64 |
| 248× | distribute-rgt-in |
| 232× | unsub-neg |
| 192× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 50 |
| 1 | 42 | 46 |
| 2 | 131 | 44 |
| 3 | 599 | 42 |
| 4 | 1137 | 42 |
| 5 | 1491 | 42 |
| 6 | 1525 | 42 |
| 7 | 1529 | 42 |
| 0 | 6 | 7 |
| 1 | 12 | 7 |
| 2 | 24 | 7 |
| 3 | 55 | 7 |
| 4 | 106 | 7 |
| 5 | 188 | 7 |
| 6 | 351 | 7 |
| 7 | 559 | 7 |
| 8 | 632 | 7 |
| 9 | 637 | 7 |
| 0 | 637 | 6 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(- (* (+ x 1) y) x) |
| Outputs |
|---|
(- (* (+ x 1) y) x) |
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y) |
| Inputs |
|---|
(- (* (+ x 1) y) x) |
(- (* (+ (neg x) 1) y) (neg x)) |
(- (* (+ x 1) (neg y)) x) |
(neg (- (* (+ (neg x) 1) y) (neg x))) |
(neg (- (* (+ x 1) (neg y)) x)) |
(- (* (+ y 1) x) y) |
| Outputs |
|---|
(- (* (+ x 1) y) x) |
(+ y (- (* x y) x)) |
(- (* (+ (neg x) 1) y) (neg x)) |
(+ x (- y (* x y))) |
(- (* (+ x 1) (neg y)) x) |
(- (* y (- -1 x)) x) |
(neg (- (* (+ (neg x) 1) y) (neg x))) |
(- (* y (+ x -1)) x) |
(neg (- (* (+ x 1) (neg y)) x)) |
(+ x (+ y (* x y))) |
(- (* (+ y 1) x) y) |
(+ x (* y (+ x -1))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (+.f64 x #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (*.f64 (+.f64 x #s(literal 1 binary64)) y) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 22.0ms | 512× | 0 | valid |
Compiled 58 to 28 computations (51.7% saved)
ival-add: 3.0ms (31.6% of total)ival-mult: 3.0ms (31.6% of total)ival-sub: 2.0ms (21.1% 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 (+.f64 x #s(literal 1 binary64)) y) x) |
Compiled 9 to 6 computations (33.3% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) |
| ✓ | cost-diff | 128 | (*.f64 (+.f64 x #s(literal 1 binary64)) y) |
| 496× | accelerator-lowering-fma.f32 |
| 496× | accelerator-lowering-fma.f64 |
| 192× | *-lowering-*.f32 |
| 192× | *-lowering-*.f64 |
| 136× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 18 |
| 1 | 12 | 18 |
| 2 | 24 | 18 |
| 3 | 55 | 18 |
| 4 | 106 | 18 |
| 5 | 188 | 18 |
| 6 | 351 | 18 |
| 7 | 559 | 18 |
| 8 | 632 | 18 |
| 9 | 637 | 18 |
| 0 | 637 | 16 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(- (* (+ x 1) y) x) |
(* (+ x 1) y) |
(+ x 1) |
x |
1 |
y |
| Outputs |
|---|
(- (* (+ x 1) y) x) |
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y) |
(* (+ x 1) y) |
(fma.f64 x y y) |
(+ x 1) |
(+.f64 x #s(literal 1 binary64)) |
x |
1 |
#s(literal 1 binary64) |
y |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 x #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) |
| ✓ | accuracy | 100.0% | (*.f64 (+.f64 x #s(literal 1 binary64)) y) |
| 13.0ms | 256× | 0 | valid |
Compiled 20 to 8 computations (60% saved)
ival-mult: 2.0ms (38% of total)ival-sub: 1.0ms (19% of total)ival-add: 1.0ms (19% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (+ x 1) y)> |
#<alt (- (* (+ x 1) y) x)> |
#<alt (+ x 1)> |
| Outputs |
|---|
#<alt y> |
#<alt (+ y (* x y))> |
#<alt (+ y (* x y))> |
#<alt (+ y (* x y))> |
#<alt (* x y)> |
#<alt (* x (+ y (/ y x)))> |
#<alt (* x (+ y (/ y x)))> |
#<alt (* x (+ y (/ y x)))> |
#<alt (* x y)> |
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))> |
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))> |
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))> |
#<alt (* y (+ 1 x))> |
#<alt (* y (+ 1 x))> |
#<alt (* y (+ 1 x))> |
#<alt (* y (+ 1 x))> |
#<alt (* y (+ 1 x))> |
#<alt (* y (+ 1 x))> |
#<alt (* y (+ 1 x))> |
#<alt (* y (+ 1 x))> |
#<alt (* y (+ 1 x))> |
#<alt (* y (+ 1 x))> |
#<alt (* y (+ 1 x))> |
#<alt (* y (+ 1 x))> |
#<alt y> |
#<alt (+ y (* x (- y 1)))> |
#<alt (+ y (* x (- y 1)))> |
#<alt (+ y (* x (- y 1)))> |
#<alt (* x (- y 1))> |
#<alt (* x (- (+ y (/ y x)) 1))> |
#<alt (* x (- (+ y (/ y x)) 1))> |
#<alt (* x (- (+ y (/ y x)) 1))> |
#<alt (* -1 (* x (+ 1 (* -1 y))))> |
#<alt (* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))> |
#<alt (* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))> |
#<alt (* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))> |
#<alt (* -1 x)> |
#<alt (- (* y (+ 1 x)) x)> |
#<alt (- (* y (+ 1 x)) x)> |
#<alt (- (* y (+ 1 x)) x)> |
#<alt (* y (+ 1 x))> |
#<alt (* y (+ 1 (+ x (* -1 (/ x y)))))> |
#<alt (* y (+ 1 (+ x (* -1 (/ x y)))))> |
#<alt (* y (+ 1 (+ x (* -1 (/ x y)))))> |
#<alt (* y (+ 1 x))> |
#<alt (* -1 (* y (+ (* -1 (+ 1 x)) (/ x y))))> |
#<alt (* -1 (* y (+ (* -1 (+ 1 x)) (/ x y))))> |
#<alt (* -1 (* y (+ (* -1 (+ 1 x)) (/ x y))))> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | (* (+ x 1) y) |
| 0.0ms | y | @ | 0 | (* (+ x 1) y) |
| 0.0ms | y | @ | inf | (- (* (+ x 1) y) x) |
| 0.0ms | y | @ | inf | (* (+ x 1) y) |
| 0.0ms | x | @ | inf | (- (* (+ x 1) y) x) |
| 1× | batch-egg-rewrite |
| 5 040× | accelerator-lowering-fma.f32 |
| 5 040× | accelerator-lowering-fma.f64 |
| 3 674× | /-lowering-/.f32 |
| 3 674× | /-lowering-/.f64 |
| 3 510× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 15 |
| 1 | 35 | 15 |
| 2 | 266 | 15 |
| 3 | 3349 | 15 |
| 0 | 8485 | 13 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (+ x 1) y) |
(- (* (+ x 1) y) x) |
(+ x 1) |
| Outputs |
|---|
(+.f64 y (*.f64 x y)) |
(+.f64 (*.f64 x y) y) |
(exp.f64 (log.f64 (fma.f64 x y y))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 x y y)) #s(literal 1 binary64))) |
(fma.f64 x y y) |
(fma.f64 #s(literal 1 binary64) y (*.f64 x y)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x y) y) |
(fma.f64 y x y) |
(fma.f64 y #s(literal 1 binary64) (*.f64 x y)) |
(fma.f64 (*.f64 x y) #s(literal 1 binary64) y) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 y (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 y (fma.f64 x x #s(literal -1 binary64))))) |
(/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 y (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 y (fma.f64 x x #s(literal -1 binary64)))))) |
(/.f64 (*.f64 y (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 y (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 y (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 y (fma.f64 x x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 y y) (*.f64 x x) (-.f64 (*.f64 y y) (*.f64 (*.f64 x y) y)))) |
(/.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (fma.f64 y y (-.f64 (*.f64 (*.f64 y y) (*.f64 x x)) (*.f64 y (*.f64 x y))))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (*.f64 x x)) (*.f64 y y)) (-.f64 (*.f64 x y) y)) |
(/.f64 (-.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 x x))) (-.f64 y (*.f64 x y))) |
(/.f64 (neg.f64 y) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (*.f64 y (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) y) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64))) y) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) y) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (exp.f64 (log.f64 (*.f64 y (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (log.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (exp.f64 (log.f64 (*.f64 y (fma.f64 x x #s(literal -1 binary64))))) (exp.f64 (log.f64 (+.f64 x #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 y (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 y (fma.f64 x x #s(literal -1 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (neg.f64 (fma.f64 (*.f64 y y) (*.f64 x x) (-.f64 (*.f64 y y) (*.f64 (*.f64 x y) y))))) |
(/.f64 (neg.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (neg.f64 (fma.f64 y y (-.f64 (*.f64 (*.f64 y y) (*.f64 x x)) (*.f64 y (*.f64 x y)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 y y) (*.f64 x x)) (*.f64 y y))) (neg.f64 (-.f64 (*.f64 x y) y))) |
(/.f64 (neg.f64 (-.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 x x)))) (neg.f64 (-.f64 y (*.f64 x y)))) |
(/.f64 (neg.f64 (*.f64 y (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) y)) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64))) y)) (neg.f64 (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) y)) (neg.f64 (-.f64 #s(literal 1 binary64) x))) |
(pow.f64 (fma.f64 x y y) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 y (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 y (fma.f64 x x #s(literal -1 binary64)))) #s(literal -1 binary64)) |
(*.f64 (+.f64 x #s(literal 1 binary64)) y) |
(*.f64 y (+.f64 x #s(literal 1 binary64))) |
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) y)) |
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) y)) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 y (+.f64 x #s(literal -1 binary64)))) |
(*.f64 (*.f64 y (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 y (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 y (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(*.f64 (/.f64 (*.f64 y (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (*.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x)) |
(*.f64 (/.f64 (*.f64 y (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 y (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64))) |
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) y) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 y (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) y) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 y (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 y (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 y (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 y (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 y (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (*.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))) #s(literal 1 binary64)) (pow.f64 (+.f64 (fma.f64 x x #s(literal -1 binary64)) x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 y (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
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(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x)) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 x #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) |
| 1× | egg-herbie |
| 4 192× | *-lowering-*.f32 |
| 4 192× | *-lowering-*.f64 |
| 3 480× | accelerator-lowering-fma.f32 |
| 3 480× | accelerator-lowering-fma.f64 |
| 1 896× | cube-prod |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 291 |
| 1 | 140 | 291 |
| 2 | 363 | 291 |
| 3 | 978 | 291 |
| 4 | 2464 | 291 |
| 5 | 3594 | 291 |
| 6 | 4353 | 291 |
| 7 | 5298 | 291 |
| 8 | 5824 | 291 |
| 9 | 6390 | 291 |
| 10 | 7433 | 291 |
| 0 | 8102 | 250 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
y |
(+ y (* x y)) |
(+ y (* x y)) |
(+ y (* x y)) |
(* x y) |
(* x (+ y (/ y x))) |
(* x (+ y (/ y x))) |
(* x (+ y (/ y x))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y 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 |
(+ y (* x (- y 1))) |
(+ y (* x (- y 1))) |
(+ y (* x (- y 1))) |
(* x (- y 1)) |
(* x (- (+ y (/ y x)) 1)) |
(* x (- (+ y (/ y x)) 1)) |
(* x (- (+ y (/ y x)) 1)) |
(* -1 (* x (+ 1 (* -1 y)))) |
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) |
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) |
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) |
(* -1 x) |
(- (* y (+ 1 x)) x) |
(- (* y (+ 1 x)) x) |
(- (* y (+ 1 x)) x) |
(* y (+ 1 x)) |
(* y (+ 1 (+ x (* -1 (/ x y))))) |
(* y (+ 1 (+ x (* -1 (/ x y))))) |
(* y (+ 1 (+ x (* -1 (/ x y))))) |
(* y (+ 1 x)) |
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) |
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) |
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
| Outputs |
|---|
y |
(+ y (* x y)) |
(fma.f64 y x y) |
(+ y (* x y)) |
(fma.f64 y x y) |
(+ y (* x y)) |
(fma.f64 y x y) |
(* x y) |
(fma.f64 y x #s(literal 0 binary64)) |
(* x (+ y (/ y x))) |
(fma.f64 y x y) |
(* x (+ y (/ y x))) |
(fma.f64 y x y) |
(* x (+ y (/ y x))) |
(fma.f64 y x y) |
(* x y) |
(fma.f64 y x #s(literal 0 binary64)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(fma.f64 y x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(fma.f64 y x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(fma.f64 y x y) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
y |
(+ y (* x (- y 1))) |
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y) |
(+ y (* x (- y 1))) |
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y) |
(+ y (* x (- y 1))) |
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y) |
(* x (- y 1)) |
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64)) |
(* x (- (+ y (/ y x)) 1)) |
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y) |
(* x (- (+ y (/ y x)) 1)) |
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y) |
(* x (- (+ y (/ y x)) 1)) |
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y) |
(* -1 (* x (+ 1 (* -1 y)))) |
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64)) |
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) |
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y) |
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) |
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y) |
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) |
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(- (* y (+ 1 x)) x) |
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y) |
(- (* y (+ 1 x)) x) |
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y) |
(- (* y (+ 1 x)) x) |
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* y (+ 1 (+ x (* -1 (/ x y))))) |
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y) |
(* y (+ 1 (+ x (* -1 (/ x y))))) |
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y) |
(* y (+ 1 (+ x (* -1 (/ x y))))) |
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) |
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y) |
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) |
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y) |
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) |
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
Compiled 11 261 to 1 038 computations (90.8% saved)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 382 | 6 | 388 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 383 | 6 | 389 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (fma.f64 y x (-.f64 y x)) |
| ▶ | 64.2% | (fma.f64 y x y) |
| 57.2% | (-.f64 (*.f64 x y) x) | |
| ▶ | 77.9% | (-.f64 y x) |
| ▶ | 36.0% | (-.f64 #s(literal 0 binary64) x) |
| ▶ | 43.2% | y |
Compiled 68 to 40 computations (41.2% saved)
| 1× | egg-herbie |
Found 5 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f64 y x y) |
| ✓ | cost-diff | 0 | (-.f64 y x) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 0 binary64) x) |
| ✓ | cost-diff | 0 | (-.f64 y x) |
| ✓ | cost-diff | 0 | (fma.f64 y x (-.f64 y x)) |
| 496× | accelerator-lowering-fma.f32 |
| 496× | accelerator-lowering-fma.f64 |
| 192× | *-lowering-*.f32 |
| 192× | *-lowering-*.f64 |
| 136× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 29 |
| 1 | 15 | 29 |
| 2 | 33 | 29 |
| 3 | 68 | 29 |
| 4 | 144 | 29 |
| 5 | 289 | 29 |
| 6 | 442 | 29 |
| 7 | 509 | 29 |
| 8 | 527 | 29 |
| 0 | 527 | 27 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+ (* y x) (- y x)) |
y |
x |
(- y x) |
y |
(- 0 x) |
0 |
x |
(- y x) |
y |
x |
(+ (* y x) y) |
y |
x |
| Outputs |
|---|
(+ (* y x) (- y x)) |
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y) |
y |
x |
(- y x) |
(-.f64 y x) |
y |
(- 0 x) |
(-.f64 #s(literal 0 binary64) x) |
0 |
#s(literal 0 binary64) |
x |
(- y x) |
(-.f64 y x) |
y |
x |
(+ (* y x) y) |
(fma.f64 y x y) |
y |
x |
Found 5 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (fma.f64 y x y) |
| ✓ | accuracy | 100.0% | (-.f64 y x) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 0 binary64) x) |
| ✓ | accuracy | 100.0% | (fma.f64 y x (-.f64 y x)) |
| ✓ | accuracy | 100.0% | (-.f64 y x) |
| 102.0ms | 256× | 0 | valid |
Compiled 30 to 10 computations (66.7% saved)
ival-sub: 2.0ms (30.6% of total)ival-add: 2.0ms (30.6% of total)ival-mult: 2.0ms (30.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* y x) (- y x))> |
#<alt (- y x)> |
#<alt (- 0 x)> |
#<alt (+ (* y x) y)> |
| Outputs |
|---|
#<alt (* -1 x)> |
#<alt (- (* y (+ 1 x)) x)> |
#<alt (- (* y (+ 1 x)) x)> |
#<alt (- (* y (+ 1 x)) x)> |
#<alt (* y (+ 1 x))> |
#<alt (* y (+ 1 (+ x (* -1 (/ x y)))))> |
#<alt (* y (+ 1 (+ x (* -1 (/ x y)))))> |
#<alt (* y (+ 1 (+ x (* -1 (/ x y)))))> |
#<alt (* -1 (* y (- (* -1 x) 1)))> |
#<alt (* -1 (* y (- (+ (* -1 x) (/ x y)) 1)))> |
#<alt (* -1 (* y (- (+ (* -1 x) (/ x y)) 1)))> |
#<alt (* -1 (* y (- (+ (* -1 x) (/ x y)) 1)))> |
#<alt y> |
#<alt (+ y (* x (- y 1)))> |
#<alt (+ y (* x (- y 1)))> |
#<alt (+ y (* x (- y 1)))> |
#<alt (* x (- y 1))> |
#<alt (* x (- (+ y (/ y x)) 1))> |
#<alt (* x (- (+ y (/ y x)) 1))> |
#<alt (* x (- (+ y (/ y x)) 1))> |
#<alt (* -1 (* x (+ 1 (* -1 y))))> |
#<alt (* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))> |
#<alt (* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))> |
#<alt (* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))> |
#<alt (* -1 x)> |
#<alt (- y x)> |
#<alt (- y x)> |
#<alt (- y x)> |
#<alt y> |
#<alt (* y (+ 1 (* -1 (/ x y))))> |
#<alt (* y (+ 1 (* -1 (/ x y))))> |
#<alt (* y (+ 1 (* -1 (/ x y))))> |
#<alt y> |
#<alt (* -1 (* y (- (/ x y) 1)))> |
#<alt (* -1 (* y (- (/ x y) 1)))> |
#<alt (* -1 (* y (- (/ x y) 1)))> |
#<alt y> |
#<alt (+ y (* -1 x))> |
#<alt (+ y (* -1 x))> |
#<alt (+ y (* -1 x))> |
#<alt (* -1 x)> |
#<alt (* x (- (/ y x) 1))> |
#<alt (* x (- (/ y x) 1))> |
#<alt (* x (- (/ y x) 1))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (+ 1 (* -1 (/ y x)))))> |
#<alt (* -1 (* x (+ 1 (* -1 (/ y x)))))> |
#<alt (* -1 (* x (+ 1 (* -1 (/ y 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 x)> |
#<alt (* y (+ 1 x))> |
#<alt (* y (+ 1 x))> |
#<alt (* y (+ 1 x))> |
#<alt (* y (+ 1 x))> |
#<alt (* y (+ 1 x))> |
#<alt (* y (+ 1 x))> |
#<alt (* y (+ 1 x))> |
#<alt (* y (+ 1 x))> |
#<alt (* -1 (* y (- (* -1 x) 1)))> |
#<alt (* -1 (* y (- (* -1 x) 1)))> |
#<alt (* -1 (* y (- (* -1 x) 1)))> |
#<alt (* -1 (* y (- (* -1 x) 1)))> |
#<alt y> |
#<alt (+ y (* x y))> |
#<alt (+ y (* x y))> |
#<alt (+ y (* x y))> |
#<alt (* x y)> |
#<alt (* x (+ y (/ y x)))> |
#<alt (* x (+ y (/ y x)))> |
#<alt (* x (+ y (/ y x)))> |
#<alt (* x y)> |
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))> |
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))> |
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))> |
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (+ (* y x) y) |
| 0.0ms | y | @ | -inf | (+ (* y x) (- y x)) |
| 0.0ms | x | @ | inf | (+ (* y x) (- y x)) |
| 0.0ms | y | @ | inf | (+ (* y x) y) |
| 0.0ms | y | @ | 0 | (+ (* y x) (- y x)) |
| 1× | batch-egg-rewrite |
| 7 370× | accelerator-lowering-fma.f32 |
| 7 370× | accelerator-lowering-fma.f64 |
| 4 758× | *-lowering-*.f32 |
| 4 758× | *-lowering-*.f64 |
| 3 848× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 17 |
| 1 | 57 | 17 |
| 2 | 543 | 17 |
| 0 | 8882 | 15 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* y x) (- y x)) |
(- y x) |
(- 0 x) |
(+ (* y x) y) |
| Outputs |
|---|
(+.f64 y (*.f64 x (+.f64 #s(literal -1 binary64) y))) |
(+.f64 y (-.f64 (*.f64 y x) x)) |
(+.f64 y (neg.f64 (-.f64 x (*.f64 y x)))) |
(+.f64 (*.f64 y x) (-.f64 y x)) |
(+.f64 (-.f64 y x) (*.f64 y x)) |
(+.f64 (-.f64 (fma.f64 y x y) x) #s(literal 0 binary64)) |
(+.f64 (fma.f64 y x y) (-.f64 #s(literal 0 binary64) x)) |
(+.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 y x y)) |
(+.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 y x))) (+.f64 (-.f64 (*.f64 y x) y) x)) (neg.f64 (/.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (+.f64 (-.f64 (*.f64 y x) y) x)))) |
(+.f64 (-.f64 (*.f64 y x) x) y) |
(+.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) y #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) x)) |
(-.f64 y (-.f64 x (*.f64 y x))) |
(-.f64 (-.f64 (fma.f64 y x y) x) #s(literal 0 binary64)) |
(-.f64 (fma.f64 y x y) x) |
(-.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 y x))) (-.f64 (*.f64 y x) y)) (-.f64 (/.f64 (*.f64 y y) (-.f64 (*.f64 y x) y)) (-.f64 #s(literal 0 binary64) x))) |
(-.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 y x))) (-.f64 (*.f64 y x) y)) (+.f64 (/.f64 (*.f64 y y) (-.f64 (*.f64 y x) y)) x)) |
(-.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 y x))) (+.f64 (-.f64 (*.f64 y x) y) x)) (/.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (+.f64 (-.f64 (*.f64 y x) y) x))) |
(-.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y y (fma.f64 x (+.f64 y x) #s(literal 0 binary64)))) (-.f64 (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y y (fma.f64 x (+.f64 y x) #s(literal 0 binary64)))) (*.f64 y x))) |
(-.f64 (/.f64 (*.f64 y y) (+.f64 y x)) (-.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 y x)) (*.f64 y x))) |
(-.f64 (/.f64 (*.f64 (fma.f64 y x y) (*.f64 (fma.f64 y x y) (fma.f64 y x y))) (fma.f64 (fma.f64 y x y) (fma.f64 y x y) (*.f64 x (+.f64 x (fma.f64 y x y))))) (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 y x y) (fma.f64 y x y) (*.f64 x (+.f64 x (fma.f64 y x y)))))) |
(-.f64 (/.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (-.f64 y (+.f64 x (*.f64 y x)))) (/.f64 (*.f64 x (*.f64 y (*.f64 y x))) (-.f64 y (+.f64 x (*.f64 y x))))) |
(-.f64 (/.f64 (*.f64 (fma.f64 y x y) (fma.f64 y x y)) (fma.f64 (+.f64 x #s(literal 1 binary64)) y x)) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) y x))) |
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(/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))) (-.f64 (*.f64 y (*.f64 x (*.f64 x (*.f64 y (*.f64 y x))))) (*.f64 y (*.f64 y y)))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 y (*.f64 x (*.f64 x (*.f64 y (*.f64 y x))))) (*.f64 y (*.f64 y y))) (*.f64 y (fma.f64 y (fma.f64 x x #s(literal 0 binary64)) (-.f64 y (*.f64 y x)))))) |
(/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))) (-.f64 (*.f64 y (*.f64 x (*.f64 x (*.f64 y (*.f64 y x))))) (*.f64 y (*.f64 y y)))) #s(literal 1 binary64)) (*.f64 (fma.f64 y (*.f64 (*.f64 x (*.f64 y x)) (*.f64 x (*.f64 y (*.f64 y x)))) (*.f64 (*.f64 y y) (fma.f64 y y (*.f64 x (*.f64 y (*.f64 y x)))))) (-.f64 (*.f64 y x) y))) |
(/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 y y)) (*.f64 y (-.f64 (*.f64 x (*.f64 y x)) y))) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 y y)) (-.f64 (*.f64 y x) y))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (*.f64 y (fma.f64 y (fma.f64 x x #s(literal 0 binary64)) (-.f64 y (*.f64 y x))))) |
(/.f64 (*.f64 (*.f64 y (-.f64 (*.f64 x (*.f64 y x)) y)) #s(literal 1 binary64)) (-.f64 (*.f64 y x) y)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 y (fma.f64 x x #s(literal 0 binary64)) (-.f64 y (*.f64 y x))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (-.f64 (*.f64 x (*.f64 y x)) y)))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 y x) y)))) |
(/.f64 (neg.f64 (*.f64 y (-.f64 y (*.f64 x (*.f64 y x))))) (neg.f64 (-.f64 y (*.f64 y x)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 y x))) (-.f64 (*.f64 y x) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (-.f64 (*.f64 y x) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 y x))) (-.f64 (*.f64 y x) y)) (/.f64 (*.f64 x (*.f64 y (*.f64 y x))) (-.f64 (*.f64 y x) y)) (fma.f64 (/.f64 (*.f64 y y) (-.f64 (*.f64 y x) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 y x) y)) (*.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 y x))) (-.f64 (*.f64 y x) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 y x) y)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 y x))) (-.f64 (*.f64 y x) y)) (/.f64 (*.f64 x (*.f64 y (*.f64 y x))) (-.f64 (*.f64 y x) y))) (*.f64 (/.f64 (*.f64 y y) (-.f64 (*.f64 y x) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 y x) y)))) (+.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 y x))) (-.f64 (*.f64 y x) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 y x) y)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 x (*.f64 x (*.f64 y (*.f64 y x))))) (*.f64 (*.f64 y (*.f64 x (*.f64 x (*.f64 y (*.f64 y x))))) (*.f64 y (*.f64 x (*.f64 x (*.f64 y (*.f64 y x)))))) (*.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 (fma.f64 x x #s(literal 0 binary64)) (-.f64 y (*.f64 y x)))))) (fma.f64 (*.f64 y x) (*.f64 (*.f64 x (*.f64 y (*.f64 y x))) (*.f64 y (*.f64 x (*.f64 x (*.f64 y (*.f64 y x)))))) (*.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 x (*.f64 x (*.f64 y (*.f64 y x))))))))) |
(/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))) (-.f64 (*.f64 y (*.f64 x (*.f64 x (*.f64 y (*.f64 y x))))) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y (fma.f64 x x #s(literal 0 binary64)) (-.f64 y (*.f64 y x)))))) (-.f64 (*.f64 y (*.f64 x (*.f64 x (*.f64 y (*.f64 y x))))) (*.f64 y (*.f64 y y)))) |
(/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))) (-.f64 (*.f64 y (*.f64 x (*.f64 x (*.f64 y (*.f64 y x))))) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) y))) (fma.f64 y (*.f64 (*.f64 x (*.f64 y x)) (*.f64 x (*.f64 y (*.f64 y x)))) (*.f64 (*.f64 y y) (fma.f64 y y (*.f64 x (*.f64 y (*.f64 y x))))))) |
(/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 y y)) (*.f64 y (-.f64 (*.f64 x (*.f64 y x)) y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) y))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 y y))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x y)) #s(literal -1 binary64)) |
(*.f64 (fma.f64 y x y) (*.f64 (-.f64 (*.f64 y x) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) y)))) |
(*.f64 (*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y (fma.f64 x x #s(literal 0 binary64)) (-.f64 y (*.f64 y x)))))) |
(*.f64 (*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) y))))) |
(*.f64 (*.f64 y (fma.f64 y (fma.f64 x x #s(literal 0 binary64)) (-.f64 y (*.f64 y x)))) (*.f64 (fma.f64 y x y) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y (fma.f64 x x #s(literal 0 binary64)) (-.f64 y (*.f64 y x))))))) |
(*.f64 (*.f64 y (-.f64 (*.f64 x (*.f64 y x)) y)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) y))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 y (fma.f64 x x #s(literal 0 binary64)) (-.f64 y (*.f64 y x))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (-.f64 (*.f64 x (*.f64 y x)) y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 y x) y)))) |
(*.f64 #s(literal 1 binary64) (fma.f64 y x y)) |
(*.f64 (*.f64 y (-.f64 y (*.f64 x (*.f64 y x)))) (/.f64 #s(literal 1 binary64) (-.f64 y (*.f64 y x)))) |
(*.f64 (+.f64 x #s(literal 1 binary64)) y) |
| 1× | egg-herbie |
| 4 240× | accelerator-lowering-fma.f32 |
| 4 240× | accelerator-lowering-fma.f64 |
| 2 376× | *-lowering-*.f32 |
| 2 376× | *-lowering-*.f64 |
| 1 752× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 348 |
| 1 | 163 | 348 |
| 2 | 424 | 348 |
| 3 | 1009 | 348 |
| 4 | 2332 | 348 |
| 5 | 3506 | 348 |
| 6 | 4475 | 348 |
| 7 | 5078 | 348 |
| 8 | 5384 | 348 |
| 9 | 5579 | 348 |
| 10 | 5674 | 348 |
| 11 | 6419 | 348 |
| 12 | 7340 | 348 |
| 0 | 8008 | 307 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 x) |
(- (* y (+ 1 x)) x) |
(- (* y (+ 1 x)) x) |
(- (* y (+ 1 x)) x) |
(* y (+ 1 x)) |
(* y (+ 1 (+ x (* -1 (/ x y))))) |
(* y (+ 1 (+ x (* -1 (/ x y))))) |
(* y (+ 1 (+ x (* -1 (/ x y))))) |
(* -1 (* y (- (* -1 x) 1))) |
(* -1 (* y (- (+ (* -1 x) (/ x y)) 1))) |
(* -1 (* y (- (+ (* -1 x) (/ x y)) 1))) |
(* -1 (* y (- (+ (* -1 x) (/ x y)) 1))) |
y |
(+ y (* x (- y 1))) |
(+ y (* x (- y 1))) |
(+ y (* x (- y 1))) |
(* x (- y 1)) |
(* x (- (+ y (/ y x)) 1)) |
(* x (- (+ y (/ y x)) 1)) |
(* x (- (+ y (/ y x)) 1)) |
(* -1 (* x (+ 1 (* -1 y)))) |
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) |
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) |
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) |
(* -1 x) |
(- y x) |
(- y x) |
(- y x) |
y |
(* y (+ 1 (* -1 (/ x y)))) |
(* y (+ 1 (* -1 (/ x y)))) |
(* y (+ 1 (* -1 (/ x y)))) |
y |
(* -1 (* y (- (/ x y) 1))) |
(* -1 (* y (- (/ x y) 1))) |
(* -1 (* y (- (/ x y) 1))) |
y |
(+ y (* -1 x)) |
(+ y (* -1 x)) |
(+ y (* -1 x)) |
(* -1 x) |
(* x (- (/ y x) 1)) |
(* x (- (/ y x) 1)) |
(* x (- (/ y x) 1)) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* 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 (* y (- (* -1 x) 1))) |
(* -1 (* y (- (* -1 x) 1))) |
(* -1 (* y (- (* -1 x) 1))) |
(* -1 (* y (- (* -1 x) 1))) |
y |
(+ y (* x y)) |
(+ y (* x y)) |
(+ y (* x y)) |
(* x y) |
(* x (+ y (/ y x))) |
(* x (+ y (/ y x))) |
(* x (+ y (/ y x))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
| Outputs |
|---|
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(- (* y (+ 1 x)) x) |
(fma.f64 x (+.f64 #s(literal -1 binary64) y) y) |
(- (* y (+ 1 x)) x) |
(fma.f64 x (+.f64 #s(literal -1 binary64) y) y) |
(- (* y (+ 1 x)) x) |
(fma.f64 x (+.f64 #s(literal -1 binary64) y) y) |
(* y (+ 1 x)) |
(fma.f64 x y y) |
(* y (+ 1 (+ x (* -1 (/ x y))))) |
(fma.f64 x (+.f64 #s(literal -1 binary64) y) y) |
(* y (+ 1 (+ x (* -1 (/ x y))))) |
(fma.f64 x (+.f64 #s(literal -1 binary64) y) y) |
(* y (+ 1 (+ x (* -1 (/ x y))))) |
(fma.f64 x (+.f64 #s(literal -1 binary64) y) y) |
(* -1 (* y (- (* -1 x) 1))) |
(fma.f64 x y y) |
(* -1 (* y (- (+ (* -1 x) (/ x y)) 1))) |
(fma.f64 x (+.f64 #s(literal -1 binary64) y) y) |
(* -1 (* y (- (+ (* -1 x) (/ x y)) 1))) |
(fma.f64 x (+.f64 #s(literal -1 binary64) y) y) |
(* -1 (* y (- (+ (* -1 x) (/ x y)) 1))) |
(fma.f64 x (+.f64 #s(literal -1 binary64) y) y) |
y |
(+ y (* x (- y 1))) |
(fma.f64 x (+.f64 #s(literal -1 binary64) y) y) |
(+ y (* x (- y 1))) |
(fma.f64 x (+.f64 #s(literal -1 binary64) y) y) |
(+ y (* x (- y 1))) |
(fma.f64 x (+.f64 #s(literal -1 binary64) y) y) |
(* x (- y 1)) |
(fma.f64 x (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64)) |
(* x (- (+ y (/ y x)) 1)) |
(fma.f64 x (+.f64 #s(literal -1 binary64) y) y) |
(* x (- (+ y (/ y x)) 1)) |
(fma.f64 x (+.f64 #s(literal -1 binary64) y) y) |
(* x (- (+ y (/ y x)) 1)) |
(fma.f64 x (+.f64 #s(literal -1 binary64) y) y) |
(* -1 (* x (+ 1 (* -1 y)))) |
(fma.f64 x (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64)) |
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) |
(fma.f64 x (+.f64 #s(literal -1 binary64) y) y) |
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) |
(fma.f64 x (+.f64 #s(literal -1 binary64) y) y) |
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) |
(fma.f64 x (+.f64 #s(literal -1 binary64) y) y) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(- y x) |
(-.f64 y x) |
(- y x) |
(-.f64 y x) |
(- y x) |
(-.f64 y x) |
y |
(* y (+ 1 (* -1 (/ x y)))) |
(-.f64 y x) |
(* y (+ 1 (* -1 (/ x y)))) |
(-.f64 y x) |
(* y (+ 1 (* -1 (/ x y)))) |
(-.f64 y x) |
y |
(* -1 (* y (- (/ x y) 1))) |
(-.f64 y x) |
(* -1 (* y (- (/ x y) 1))) |
(-.f64 y x) |
(* -1 (* y (- (/ x y) 1))) |
(-.f64 y x) |
y |
(+ y (* -1 x)) |
(-.f64 y x) |
(+ y (* -1 x)) |
(-.f64 y x) |
(+ y (* -1 x)) |
(-.f64 y x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* x (- (/ y x) 1)) |
(-.f64 y x) |
(* x (- (/ y x) 1)) |
(-.f64 y x) |
(* x (- (/ y x) 1)) |
(-.f64 y x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(-.f64 y x) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(-.f64 y x) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(-.f64 y x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* y (+ 1 x)) |
(fma.f64 x y y) |
(* y (+ 1 x)) |
(fma.f64 x y y) |
(* y (+ 1 x)) |
(fma.f64 x y y) |
(* y (+ 1 x)) |
(fma.f64 x y y) |
(* y (+ 1 x)) |
(fma.f64 x y y) |
(* y (+ 1 x)) |
(fma.f64 x y y) |
(* y (+ 1 x)) |
(fma.f64 x y y) |
(* y (+ 1 x)) |
(fma.f64 x y y) |
(* -1 (* y (- (* -1 x) 1))) |
(fma.f64 x y y) |
(* -1 (* y (- (* -1 x) 1))) |
(fma.f64 x y y) |
(* -1 (* y (- (* -1 x) 1))) |
(fma.f64 x y y) |
(* -1 (* y (- (* -1 x) 1))) |
(fma.f64 x y y) |
y |
(+ y (* x y)) |
(fma.f64 x y y) |
(+ y (* x y)) |
(fma.f64 x y y) |
(+ y (* x y)) |
(fma.f64 x y y) |
(* x y) |
(fma.f64 x y #s(literal 0 binary64)) |
(* x (+ y (/ y x))) |
(fma.f64 x y y) |
(* x (+ y (/ y x))) |
(fma.f64 x y y) |
(* x (+ y (/ y x))) |
(fma.f64 x y y) |
(* x y) |
(fma.f64 x y #s(literal 0 binary64)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(fma.f64 x y y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(fma.f64 x y y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(fma.f64 x y y) |
Compiled 12 577 to 912 computations (92.7% saved)
6 alts after pruning (2 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 519 | 1 | 520 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 520 | 6 | 526 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (fma.f64 y x (-.f64 y x)) |
| ✓ | 64.2% | (fma.f64 y x y) |
| ▶ | 57.2% | (-.f64 (*.f64 x y) x) |
| ✓ | 77.9% | (-.f64 y x) |
| ▶ | 36.0% | (neg.f64 x) |
| ✓ | 43.2% | y |
Compiled 33 to 19 computations (42.4% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | -64 | (*.f64 x y) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 x y) x) |
| ✓ | cost-diff | -64 | (neg.f64 x) |
| 176× | accelerator-lowering-fma.f32 |
| 176× | accelerator-lowering-fma.f64 |
| 112× | *-lowering-*.f32 |
| 112× | *-lowering-*.f64 |
| 56× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 13 |
| 1 | 11 | 13 |
| 2 | 18 | 13 |
| 3 | 28 | 13 |
| 4 | 42 | 13 |
| 5 | 66 | 13 |
| 6 | 141 | 13 |
| 7 | 222 | 13 |
| 8 | 265 | 13 |
| 9 | 270 | 13 |
| 0 | 270 | 13 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(neg x) |
x |
(- (* x y) x) |
(* x y) |
x |
y |
| Outputs |
|---|
(neg x) |
(-.f64 #s(literal 0 binary64) x) |
x |
(- (* x y) x) |
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64)) |
(* x y) |
(fma.f64 x y #s(literal 0 binary64)) |
x |
y |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 x y) |
| ✓ | accuracy | 100.0% | (-.f64 (*.f64 x y) x) |
| ✓ | accuracy | 100.0% | (neg.f64 x) |
| 16.0ms | 256× | 0 | valid |
Compiled 15 to 7 computations (53.3% saved)
ival-mult: 2.0ms (36.9% of total)ival-neg: 2.0ms (36.9% of total)ival-sub: 1.0ms (18.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (neg x)> |
#<alt (- (* x y) x)> |
#<alt (* x y)> |
| Outputs |
|---|
#<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 (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* -1 (* x (+ 1 (* -1 y))))> |
#<alt (* -1 (* x (+ 1 (* -1 y))))> |
#<alt (* -1 (* x (+ 1 (* -1 y))))> |
#<alt (* -1 (* x (+ 1 (* -1 y))))> |
#<alt (* -1 x)> |
#<alt (- (* x y) x)> |
#<alt (- (* x y) x)> |
#<alt (- (* x y) x)> |
#<alt (* x y)> |
#<alt (* y (+ x (* -1 (/ x y))))> |
#<alt (* y (+ x (* -1 (/ x y))))> |
#<alt (* y (+ x (* -1 (/ x y))))> |
#<alt (* x y)> |
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))> |
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))> |
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (- (* x y) x) |
| 0.0ms | x | @ | inf | (- (* x y) x) |
| 0.0ms | x | @ | -inf | (- (* x y) x) |
| 0.0ms | y | @ | -inf | (- (* x y) x) |
| 0.0ms | y | @ | inf | (- (* x y) x) |
| 1× | batch-egg-rewrite |
| 6 106× | accelerator-lowering-fma.f32 |
| 6 106× | accelerator-lowering-fma.f64 |
| 3 322× | /-lowering-/.f32 |
| 3 322× | /-lowering-/.f64 |
| 3 090× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 10 |
| 1 | 24 | 10 |
| 2 | 169 | 10 |
| 3 | 1789 | 9 |
| 0 | 9591 | 8 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(neg x) |
(- (* x y) x) |
(* x y) |
| Outputs |
|---|
x |
(+.f64 x #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) x) |
(exp.f64 (log.f64 x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) x) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) x) |
(-.f64 (/.f64 #s(literal 0 binary64) x) x) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (-.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) x) |
(fma.f64 x #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (-.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) x #s(literal 0 binary64)) |
(neg.f64 x) |
(/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64))) |
(/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (neg.f64 (+.f64 #s(literal 0 binary64) (-.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))))) |
(/.f64 (fma.f64 x x #s(literal 0 binary64)) x) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (-.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64)))) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) |
(/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 3 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x x (*.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) x)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) x) #s(literal 3 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 0 binary64) x) (fma.f64 x x (*.f64 (/.f64 #s(literal 0 binary64) x) x)))) |
(pow.f64 x #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) |
(*.f64 x #s(literal -1 binary64)) |
(*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (-.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))))) |
(*.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 #s(literal 1 binary64) x) |
(+.f64 x (fma.f64 x y #s(literal 0 binary64))) |
(+.f64 x (neg.f64 (fma.f64 x y #s(literal 0 binary64)))) |
(+.f64 (fma.f64 x y #s(literal 0 binary64)) x) |
(+.f64 #s(literal 0 binary64) (fma.f64 x y x)) |
(+.f64 (/.f64 (*.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 x (*.f64 x (*.f64 y y)))) (*.f64 x (fma.f64 x (*.f64 y y) (fma.f64 x y x)))) (neg.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 x (fma.f64 x (*.f64 y y) (fma.f64 x y x)))))) |
(+.f64 (*.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) x) (neg.f64 (*.f64 x (/.f64 x (fma.f64 x y x))))) |
(+.f64 (-.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) x) |
(+.f64 (neg.f64 (fma.f64 x y #s(literal 0 binary64))) x) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y x))) #s(literal -1 binary64))) |
(-.f64 (fma.f64 x y #s(literal 0 binary64)) x) |
(-.f64 #s(literal 0 binary64) (fma.f64 x y x)) |
(-.f64 #s(literal 0 binary64) (-.f64 x (fma.f64 x y #s(literal 0 binary64)))) |
(-.f64 (/.f64 (*.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 x (*.f64 x (*.f64 y y)))) (*.f64 x (fma.f64 x (*.f64 y y) (fma.f64 x y x)))) (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 x (fma.f64 x (*.f64 y y) (fma.f64 x y x))))) |
(-.f64 (*.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) x) (*.f64 x (/.f64 x (fma.f64 x y x)))) |
(-.f64 (-.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) x) |
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 x (*.f64 x (*.f64 y y)))) (*.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 x (*.f64 x (*.f64 y y))))) (*.f64 (fma.f64 x y x) (fma.f64 x (*.f64 (*.f64 x (*.f64 y y)) (*.f64 x (*.f64 x (*.f64 y y)))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 x x #s(literal 0 binary64))))))) (/.f64 (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (*.f64 (fma.f64 x y x) (fma.f64 x (*.f64 (*.f64 x (*.f64 y y)) (*.f64 x (*.f64 x (*.f64 y y)))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 x x #s(literal 0 binary64)))))))) |
(-.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 y y)) (*.f64 x (*.f64 x (*.f64 y y))))) (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x y x))) (/.f64 (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x y x)))) |
(-.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 x (fma.f64 x y #s(literal 0 binary64)))) (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (-.f64 x (fma.f64 x y #s(literal 0 binary64))))) |
(-.f64 (/.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 x #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) x) #s(literal 1 binary64)) (/.f64 (*.f64 x (/.f64 x (fma.f64 x y x))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (-.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 x #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 x (*.f64 x (*.f64 y y)))) (*.f64 (*.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 x (*.f64 x (*.f64 y y)))) (*.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 x (*.f64 x (*.f64 y y)))))) (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (*.f64 (*.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 x (*.f64 x (*.f64 y y)))) (*.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 x (*.f64 x (*.f64 y y))))))) (*.f64 x (fma.f64 x (*.f64 y y) (fma.f64 x y x)))) (/.f64 (/.f64 (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (*.f64 (*.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 x (*.f64 x (*.f64 y y)))) (*.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 x (*.f64 x (*.f64 y y))))))) (*.f64 x (fma.f64 x (*.f64 y y) (fma.f64 x y x))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 x (*.f64 x (*.f64 y y)))) (*.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 x (*.f64 x (*.f64 y y))))) (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (*.f64 x (fma.f64 x (*.f64 y y) (fma.f64 x y x)))) (/.f64 (/.f64 (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (*.f64 x (fma.f64 x (*.f64 y y) (fma.f64 x y x))))) |
(-.f64 (/.f64 (*.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 x (*.f64 x (*.f64 y y)))) (fma.f64 x x (-.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x (fma.f64 x y #s(literal 0 binary64)))))) (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x x (-.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x (fma.f64 x y #s(literal 0 binary64))))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 x (*.f64 x (*.f64 y y)))) (*.f64 (*.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 x (*.f64 x (*.f64 y y)))) (*.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 x (*.f64 x (*.f64 y y)))))) (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (*.f64 (*.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 x (*.f64 x (*.f64 y y)))) (*.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 x (*.f64 x (*.f64 y y))))))) (fma.f64 x x (-.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x (fma.f64 x y #s(literal 0 binary64)))))) (/.f64 (/.f64 (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (*.f64 (*.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 x (*.f64 x (*.f64 y y)))) (*.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 x (*.f64 x (*.f64 y y))))))) (fma.f64 x x (-.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x (fma.f64 x y #s(literal 0 binary64))))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 x (*.f64 x (*.f64 y y)))) (*.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 x (*.f64 x (*.f64 y y))))) (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (fma.f64 x x (-.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x (fma.f64 x y #s(literal 0 binary64)))))) (/.f64 (/.f64 (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (fma.f64 x x (-.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x (fma.f64 x y #s(literal 0 binary64))))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 x (*.f64 x (*.f64 y y)))) (*.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 x (*.f64 x (*.f64 y y))))) (fma.f64 x (*.f64 (*.f64 x (*.f64 y y)) (*.f64 x (*.f64 x (*.f64 y y)))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 x x #s(literal 0 binary64)))))) (fma.f64 x y x)) (/.f64 (/.f64 (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x (*.f64 (*.f64 x (*.f64 y y)) (*.f64 x (*.f64 x (*.f64 y y)))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 x x #s(literal 0 binary64)))))) (fma.f64 x y x))) |
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 y y)) (*.f64 x (*.f64 x (*.f64 y y))))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x y x)) (/.f64 (/.f64 (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x y x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x (*.f64 y y) (fma.f64 x y x)))) (fma.f64 x y x)) |
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 x (*.f64 x (*.f64 y y)))) (*.f64 (*.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 x (*.f64 x (*.f64 y y)))) (*.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 x (*.f64 x (*.f64 y y)))))) (*.f64 (*.f64 x (fma.f64 x (*.f64 y y) (fma.f64 x y x))) (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (*.f64 (*.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 x (*.f64 x (*.f64 y y)))) (*.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 x (*.f64 x (*.f64 y y)))))))) (/.f64 (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (*.f64 (*.f64 x (fma.f64 x (*.f64 y y) (fma.f64 x y x))) (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (*.f64 (*.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 x (*.f64 x (*.f64 y y)))) (*.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 x (*.f64 x (*.f64 y y))))))))) |
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 x (*.f64 x (*.f64 y y)))) (*.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 x (*.f64 x (*.f64 y y))))) (*.f64 (*.f64 x (fma.f64 x (*.f64 y y) (fma.f64 x y x))) (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))))) (/.f64 (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (*.f64 (*.f64 x (fma.f64 x (*.f64 y y) (fma.f64 x y x))) (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))))) |
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 x (*.f64 x (*.f64 y y)))) (*.f64 x (fma.f64 x (*.f64 y y) (fma.f64 x y x)))) (*.f64 (*.f64 x (fma.f64 x (*.f64 y y) (fma.f64 x y x))) (*.f64 x (fma.f64 x (*.f64 y y) (fma.f64 x y x))))) (/.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 y y) (fma.f64 x y x))) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (*.f64 (*.f64 x (fma.f64 x (*.f64 y y) (fma.f64 x y x))) (*.f64 x (fma.f64 x (*.f64 y y) (fma.f64 x y x)))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 y y))) (fma.f64 x y x)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 x x #s(literal 0 binary64)))) (/.f64 (*.f64 (fma.f64 x y x) (fma.f64 x x #s(literal 0 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 x x #s(literal 0 binary64))))) |
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(*.f64 (-.f64 (*.f64 (/.f64 (*.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 x (*.f64 x (*.f64 y y)))) (*.f64 x (fma.f64 x (*.f64 y y) (fma.f64 x y x)))) (/.f64 (*.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 x (*.f64 x (*.f64 y y)))) (*.f64 x (fma.f64 x (*.f64 y y) (fma.f64 x y x))))) (*.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 x (fma.f64 x (*.f64 y y) (fma.f64 x y x)))) (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 x (fma.f64 x (*.f64 y y) (fma.f64 x y x)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x (fma.f64 x (*.f64 y y) (fma.f64 x y x)))) (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 x (fma.f64 x (*.f64 y y) (fma.f64 x y x))))))) |
(*.f64 (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) x) (*.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) x)) (*.f64 (*.f64 x (/.f64 x (fma.f64 x y x))) (*.f64 x (/.f64 x (fma.f64 x y x))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) x (*.f64 x (/.f64 x (fma.f64 x y x)))))) |
(*.f64 (neg.f64 (+.f64 y #s(literal 1 binary64))) x) |
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 x (*.f64 x (*.f64 y y)))) (*.f64 (*.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 x (*.f64 x (*.f64 y y)))) (*.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 x (*.f64 x (*.f64 y y))))) (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))))) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (*.f64 y y) (fma.f64 x y x))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (*.f64 (*.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 x (*.f64 x (*.f64 y y)))) (*.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 x (*.f64 x (*.f64 y y)))))))) |
(*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (*.f64 y y) (fma.f64 x y x))))) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))))) |
(*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 x y x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x (*.f64 y y)) (*.f64 x (*.f64 x (*.f64 y y)))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 x x #s(literal 0 binary64))))))) |
(*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 x x #s(literal 0 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 x x #s(literal 0 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x y x))) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 x x #s(literal 0 binary64))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 x x #s(literal 0 binary64))) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 x x #s(literal 0 binary64))) x) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 x x #s(literal 0 binary64))) (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (*.f64 x (fma.f64 x (*.f64 y y) (fma.f64 x y x)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 x x #s(literal 0 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x y x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (pow.f64 (/.f64 x (*.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 x x #s(literal 0 binary64)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 (*.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 x (*.f64 x (*.f64 y y)))) (*.f64 x (*.f64 x (*.f64 y y)))) (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x y x))))) (fma.f64 (*.f64 x (fma.f64 x y x)) (-.f64 (*.f64 x (fma.f64 x y x)) (*.f64 x (*.f64 x (*.f64 y y)))) (*.f64 x (*.f64 (*.f64 x (*.f64 y y)) (*.f64 x (*.f64 x (*.f64 y y))))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (*.f64 (*.f64 x (fma.f64 x (*.f64 y y) (fma.f64 x y x))) (*.f64 x (fma.f64 x (*.f64 y y) (fma.f64 x y x))))) (*.f64 x (fma.f64 x (*.f64 y y) (fma.f64 x y x)))) |
(*.f64 (pow.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 x y x)) #s(literal -1 binary64)) (pow.f64 (/.f64 x (fma.f64 x y x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x y x) (*.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x (*.f64 y y)) (*.f64 x (*.f64 x (*.f64 y y)))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 x x #s(literal 0 binary64))))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x y x) (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 x x #s(literal 0 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 x x #s(literal 0 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 x x #s(literal 0 binary64))))) |
(*.f64 (pow.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 y y) (fma.f64 x y x))) (fma.f64 (*.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 x (*.f64 x (*.f64 y y)))) (*.f64 (*.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 x (*.f64 x (*.f64 y y)))) (*.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 x (*.f64 x (*.f64 y y))))) (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (*.f64 (*.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 x (*.f64 x (*.f64 y y)))) (*.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 x (*.f64 x (*.f64 y y)))))))) |
(*.f64 (pow.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 y y) (fma.f64 x y x))) (*.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))))) |
(+.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal 0 binary64))) |
(exp.f64 (log.f64 (fma.f64 x y #s(literal 0 binary64)))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 x y #s(literal 0 binary64))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (-.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) (-.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(fma.f64 x y #s(literal 0 binary64)) |
(fma.f64 x (pow.f64 y #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 x (exp.f64 (log.f64 y)) #s(literal 0 binary64)) |
(fma.f64 y x #s(literal 0 binary64)) |
(fma.f64 (fma.f64 (*.f64 x (fma.f64 x y #s(literal 0 binary64))) (*.f64 x (*.f64 y y)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 y y)) (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))))) #s(literal 0 binary64)) |
(fma.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 y y))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 y #s(literal 1 binary64)) x #s(literal 0 binary64)) |
(fma.f64 (exp.f64 (log.f64 y)) x #s(literal 0 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x (*.f64 y y)) (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 (*.f64 x (fma.f64 x y #s(literal 0 binary64))) (*.f64 x (*.f64 y y)) #s(literal 0 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 x (*.f64 x (*.f64 y y))) #s(literal 0 binary64)))) |
(/.f64 (fma.f64 (*.f64 x (fma.f64 x y #s(literal 0 binary64))) (*.f64 x (*.f64 y y)) #s(literal 0 binary64)) (fma.f64 x (*.f64 x (*.f64 y y)) (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))))) |
(/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 y y))) #s(literal 0 binary64)) (-.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (fma.f64 x y #s(literal 0 binary64))) (*.f64 x (*.f64 y y)) #s(literal 0 binary64))) (neg.f64 (fma.f64 x (*.f64 x (*.f64 y y)) (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 y y))) #s(literal 0 binary64))) (neg.f64 (-.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 x (*.f64 x (*.f64 y y))))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal 0 binary64)))))) |
(pow.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 1 binary64)) |
(*.f64 x y) |
(*.f64 x (pow.f64 y #s(literal 1 binary64))) |
(*.f64 x (exp.f64 (log.f64 y))) |
(*.f64 y x) |
(*.f64 (fma.f64 (*.f64 x (fma.f64 x y #s(literal 0 binary64))) (*.f64 x (*.f64 y y)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 y y)) (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)))))) |
(*.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 y y))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(*.f64 (pow.f64 y #s(literal 1 binary64)) x) |
(*.f64 (exp.f64 (log.f64 y)) x) |
| 1× | egg-herbie |
| 3 552× | accelerator-lowering-fma.f32 |
| 3 552× | accelerator-lowering-fma.f64 |
| 2 016× | *-lowering-*.f32 |
| 2 016× | *-lowering-*.f64 |
| 1 728× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 209 |
| 1 | 64 | 209 |
| 2 | 149 | 209 |
| 3 | 276 | 209 |
| 4 | 599 | 209 |
| 5 | 1826 | 209 |
| 6 | 3080 | 209 |
| 7 | 3542 | 209 |
| 8 | 3814 | 209 |
| 9 | 3984 | 209 |
| 10 | 4018 | 209 |
| 11 | 4586 | 209 |
| 12 | 5856 | 209 |
| 13 | 6678 | 209 |
| 14 | 7006 | 209 |
| 15 | 7088 | 209 |
| 16 | 7088 | 209 |
| 17 | 7580 | 209 |
| 0 | 8016 | 209 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* 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 (* x (+ 1 (* -1 y)))) |
(* -1 (* x (+ 1 (* -1 y)))) |
(* -1 (* x (+ 1 (* -1 y)))) |
(* -1 (* x (+ 1 (* -1 y)))) |
(* -1 x) |
(- (* x y) x) |
(- (* x y) x) |
(- (* x y) x) |
(* x y) |
(* y (+ x (* -1 (/ x y)))) |
(* y (+ x (* -1 (/ x y)))) |
(* y (+ x (* -1 (/ x y)))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
| Outputs |
|---|
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* x (- y 1)) |
(fma.f64 x (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64)) |
(* x (- y 1)) |
(fma.f64 x (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64)) |
(* x (- y 1)) |
(fma.f64 x (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64)) |
(* x (- y 1)) |
(fma.f64 x (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64)) |
(* x (- y 1)) |
(fma.f64 x (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64)) |
(* x (- y 1)) |
(fma.f64 x (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64)) |
(* x (- y 1)) |
(fma.f64 x (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64)) |
(* x (- y 1)) |
(fma.f64 x (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64)) |
(* -1 (* x (+ 1 (* -1 y)))) |
(fma.f64 x (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64)) |
(* -1 (* x (+ 1 (* -1 y)))) |
(fma.f64 x (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64)) |
(* -1 (* x (+ 1 (* -1 y)))) |
(fma.f64 x (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64)) |
(* -1 (* x (+ 1 (* -1 y)))) |
(fma.f64 x (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64)) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(- (* x y) x) |
(fma.f64 x (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64)) |
(- (* x y) x) |
(fma.f64 x (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64)) |
(- (* x y) x) |
(fma.f64 x (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64)) |
(* x y) |
(fma.f64 x y #s(literal 0 binary64)) |
(* y (+ x (* -1 (/ x y)))) |
(fma.f64 x (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64)) |
(* y (+ x (* -1 (/ x y)))) |
(fma.f64 x (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64)) |
(* y (+ x (* -1 (/ x y)))) |
(fma.f64 x (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64)) |
(* x y) |
(fma.f64 x y #s(literal 0 binary64)) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
(fma.f64 x (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64)) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
(fma.f64 x (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64)) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
(fma.f64 x (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64)) |
(* x y) |
(fma.f64 x y #s(literal 0 binary64)) |
(* x y) |
(fma.f64 x y #s(literal 0 binary64)) |
(* x y) |
(fma.f64 x y #s(literal 0 binary64)) |
(* x y) |
(fma.f64 x y #s(literal 0 binary64)) |
(* x y) |
(fma.f64 x y #s(literal 0 binary64)) |
(* x y) |
(fma.f64 x y #s(literal 0 binary64)) |
(* x y) |
(fma.f64 x y #s(literal 0 binary64)) |
(* x y) |
(fma.f64 x y #s(literal 0 binary64)) |
(* x y) |
(fma.f64 x y #s(literal 0 binary64)) |
(* x y) |
(fma.f64 x y #s(literal 0 binary64)) |
(* x y) |
(fma.f64 x y #s(literal 0 binary64)) |
(* x y) |
(fma.f64 x y #s(literal 0 binary64)) |
(* x y) |
(fma.f64 x y #s(literal 0 binary64)) |
(* x y) |
(fma.f64 x y #s(literal 0 binary64)) |
(* x y) |
(fma.f64 x y #s(literal 0 binary64)) |
(* x y) |
(fma.f64 x y #s(literal 0 binary64)) |
(* x y) |
(fma.f64 x y #s(literal 0 binary64)) |
(* x y) |
(fma.f64 x y #s(literal 0 binary64)) |
(* x y) |
(fma.f64 x y #s(literal 0 binary64)) |
(* x y) |
(fma.f64 x y #s(literal 0 binary64)) |
(* x y) |
(fma.f64 x y #s(literal 0 binary64)) |
(* x y) |
(fma.f64 x y #s(literal 0 binary64)) |
(* x y) |
(fma.f64 x y #s(literal 0 binary64)) |
(* x y) |
(fma.f64 x y #s(literal 0 binary64)) |
Compiled 14 565 to 868 computations (94% saved)
8 alts after pruning (2 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 397 | 2 | 399 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 4 | 4 |
| Total | 397 | 8 | 405 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (fma.f64 y x (-.f64 y x)) |
| ✓ | 64.2% | (fma.f64 y x y) |
| ✓ | 57.2% | (-.f64 (*.f64 x y) x) |
| ✓ | 77.9% | (-.f64 y x) |
| ▶ | 57.2% | (*.f64 (+.f64 y #s(literal -1 binary64)) x) |
| ✓ | 36.0% | (neg.f64 x) |
| ✓ | 43.2% | y |
| ▶ | 3.0% | x |
Compiled 43 to 26 computations (39.5% saved)
| 1× | egg-herbie |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | -64 | (*.f64 (+.f64 y #s(literal -1 binary64)) x) |
| ✓ | cost-diff | 0 | (+.f64 y #s(literal -1 binary64)) |
| 176× | accelerator-lowering-fma.f32 |
| 176× | accelerator-lowering-fma.f64 |
| 112× | *-lowering-*.f32 |
| 112× | *-lowering-*.f64 |
| 56× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 12 |
| 1 | 7 | 12 |
| 2 | 15 | 12 |
| 3 | 16 | 12 |
| 4 | 19 | 12 |
| 5 | 24 | 12 |
| 6 | 37 | 12 |
| 7 | 59 | 12 |
| 8 | 125 | 12 |
| 9 | 223 | 12 |
| 10 | 271 | 12 |
| 11 | 276 | 12 |
| 0 | 276 | 12 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
x |
(* (+ y -1) x) |
(+ y -1) |
y |
-1 |
x |
| Outputs |
|---|
x |
(* (+ y -1) x) |
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64)) |
(+ y -1) |
(+.f64 y #s(literal -1 binary64)) |
y |
-1 |
#s(literal -1 binary64) |
x |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 y #s(literal -1 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 (+.f64 y #s(literal -1 binary64)) x) |
| 9.0ms | 256× | 0 | valid |
Compiled 14 to 7 computations (50% saved)
ival-mult: 2.0ms (57.1% of total)ival-add: 1.0ms (28.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ y -1)> |
#<alt (* (+ y -1) x)> |
| Outputs |
|---|
#<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 (* -1 x)> |
#<alt (+ (* -1 x) (* x y))> |
#<alt (+ (* -1 x) (* x y))> |
#<alt (+ (* -1 x) (* x y))> |
#<alt (* x y)> |
#<alt (* y (+ x (* -1 (/ x y))))> |
#<alt (* y (+ x (* -1 (/ x y))))> |
#<alt (* y (+ x (* -1 (/ x y))))> |
#<alt (* x y)> |
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))> |
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))> |
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | 0 | (* (+ y -1) x) |
| 0.0ms | x | @ | inf | (* (+ y -1) x) |
| 0.0ms | y | @ | -inf | (* (+ y -1) x) |
| 0.0ms | x | @ | -inf | (* (+ y -1) x) |
| 0.0ms | y | @ | inf | (* (+ y -1) x) |
| 1× | batch-egg-rewrite |
| 10 310× | accelerator-lowering-fma.f32 |
| 10 310× | accelerator-lowering-fma.f64 |
| 3 502× | *-lowering-*.f32 |
| 3 502× | *-lowering-*.f64 |
| 2 854× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 8 |
| 1 | 21 | 8 |
| 2 | 134 | 8 |
| 3 | 1162 | 8 |
| 0 | 9840 | 8 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ y -1) |
(* (+ y -1) x) |
| Outputs |
|---|
(+.f64 y #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) y) |
(+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) y)) |
(+.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1 binary64)) |
(+.f64 #s(literal 0 binary64) (+.f64 y #s(literal -1 binary64))) |
(+.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1 binary64)))) |
(+.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #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 y #s(literal -1 binary64))) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal -1 binary64))) (*.f64 y y))) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal -1 binary64))) (*.f64 y y)) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 y (*.f64 y y)))) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 y (*.f64 y y))) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (/.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal 1 binary64))))) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (/.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal 1 binary64))))) (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(+.f64 (*.f64 (/.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal 1 binary64))))) (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))) (*.f64 (/.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal 1 binary64))))) (*.f64 y (*.f64 y (*.f64 y y))))) |
(+.f64 (*.f64 (/.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (*.f64 (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))) (*.f64 y y)) (*.f64 (/.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (*.f64 (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))) (+.f64 y #s(literal -1 binary64)))) |
(+.f64 (*.f64 (/.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (*.f64 (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (/.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (*.f64 (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) y))) |
(+.f64 (*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (*.f64 y y)) (*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (+.f64 y #s(literal 1 binary64)))) |
(+.f64 (*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (+.f64 y #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (*.f64 y y))) |
(+.f64 (*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (fma.f64 y y y))) |
(+.f64 (*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (fma.f64 y y y)) (*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) y))) |
(+.f64 (*.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1 binary64)))) |
(+.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (/.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal 1 binary64)))))) (*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal 1 binary64))))))) |
(+.f64 (*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal 1 binary64)))))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (/.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal 1 binary64))))))) |
(+.f64 (*.f64 (*.f64 y y) (/.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (*.f64 (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))))) (*.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (*.f64 (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))))) |
(+.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (*.f64 (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))))) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (*.f64 (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))))) |
(+.f64 (*.f64 (*.f64 y y) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (*.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 (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 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (*.f64 (fma.f64 y y y) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))))) |
(+.f64 (*.f64 (fma.f64 y y y) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))))) |
(+.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))))) |
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1 binary64)))) |
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(+.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (*.f64 (*.f64 y y) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1 binary64)))) #s(literal -1 binary64))) |
(-.f64 y #s(literal 1 binary64)) |
(-.f64 #s(literal -1 binary64) y) |
(-.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)) |
(-.f64 #s(literal 0 binary64) (+.f64 y #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal -1 binary64)))) |
(-.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #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 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (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 #s(literal 1 binary64) (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 (*.f64 y (*.f64 y (*.f64 y y))) (fma.f64 y y #s(literal 1 binary64))) (+.f64 y #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))) (+.f64 y #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))))) |
(-.f64 (/.f64 (*.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 #s(literal 1 binary64) (*.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 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal 1 binary64))))) |
(-.f64 (/.f64 (*.f64 y (fma.f64 y y y)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal -1 binary64)))) |
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(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) (+.f64 y #s(literal -1 binary64))) |
(/.f64 (fma.f64 (*.f64 y x) (*.f64 (*.f64 y y) (*.f64 x x)) (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x x))) (fma.f64 (*.f64 y y) (*.f64 x x) (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (+.f64 y #s(literal -1 binary64)) x)))) |
(/.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y x) (fma.f64 y x x))) (*.f64 (+.f64 y #s(literal -1 binary64)) x)) (fma.f64 x x (*.f64 (*.f64 y x) (fma.f64 y x x)))) |
(/.f64 (*.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) x) (fma.f64 y x x)) (fma.f64 y x x)) |
(/.f64 (*.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) x) (*.f64 (+.f64 y #s(literal -1 binary64)) x)) (*.f64 (+.f64 y #s(literal -1 binary64)) x)) |
(/.f64 (/.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y x) (*.f64 (*.f64 y y) (*.f64 x x)) (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x x)))) (neg.f64 (fma.f64 (*.f64 y y) (*.f64 x x) (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (+.f64 y #s(literal -1 binary64)) x))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y x) (fma.f64 y x x))) (*.f64 (+.f64 y #s(literal -1 binary64)) x))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y x) (fma.f64 y x x))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) x) (fma.f64 y x x))) (*.f64 (+.f64 y #s(literal -1 binary64)) x)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) x) (*.f64 (+.f64 y #s(literal -1 binary64)) x))) (neg.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) x))) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x x)) (*.f64 (*.f64 y x) (*.f64 (*.f64 y y) (*.f64 x x)))) (fma.f64 x x (fma.f64 (*.f64 y y) (*.f64 x x) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) x) y)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y #s(literal -1 binary64)) x)) #s(literal -1 binary64)) |
(*.f64 (+.f64 y #s(literal -1 binary64)) x) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
(*.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))) x)) |
(*.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (/.f64 x (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(literal 1 binary64) (*.f64 (+.f64 y #s(literal -1 binary64)) x)) |
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal -1 binary64))) x)) |
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 x (+.f64 y #s(literal 1 binary64)))) |
(*.f64 (*.f64 x (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal -1 binary64)))) |
(*.f64 (*.f64 x (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (*.f64 y x) (*.f64 (*.f64 y y) (*.f64 x x)) (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (*.f64 x x) (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (+.f64 y #s(literal -1 binary64)) x))))) |
(*.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y x) (fma.f64 y x x))) (*.f64 (+.f64 y #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 y x) (fma.f64 y x x))))) |
(*.f64 (*.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) x) (fma.f64 y x x)) (/.f64 #s(literal 1 binary64) (fma.f64 y x x))) |
(*.f64 (fma.f64 y x x) #s(literal -1 binary64)) |
(*.f64 (*.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) x) (*.f64 (+.f64 y #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y #s(literal -1 binary64)) x))) |
(*.f64 (/.f64 (*.f64 x (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal 1 binary64))))) (fma.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 y (*.f64 y (*.f64 y y))))) |
(*.f64 (/.f64 (*.f64 x (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (*.f64 (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 x (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) |
(*.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64))) |
(*.f64 (*.f64 x (/.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal 1 binary64)))))) (fma.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 y (*.f64 y (*.f64 y y))))) |
(*.f64 (*.f64 x (/.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (*.f64 (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))))) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 x (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 x (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal -1 binary64)))) |
(*.f64 (*.f64 (/.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (/.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64))) #s(literal 1 binary64)) (+.f64 y #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal -1 binary64)))) |
(*.f64 (*.f64 (/.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64))) #s(literal -1 binary64)) |
(*.f64 (*.f64 (/.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (/.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1 binary64)))) |
(*.f64 (*.f64 (/.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal -1 binary64)))) (fma.f64 y y #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64))) (/.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal 1 binary64)))))) (fma.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 y (*.f64 y (*.f64 y y))))) |
(*.f64 (*.f64 (/.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64))) (/.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (*.f64 (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))))) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) |
| 1× | egg-herbie |
| 7 576× | accelerator-lowering-fma.f32 |
| 7 576× | accelerator-lowering-fma.f64 |
| 3 168× | *-lowering-*.f32 |
| 3 168× | *-lowering-*.f64 |
| 2 398× | associate-/l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 164 |
| 1 | 61 | 143 |
| 2 | 160 | 143 |
| 3 | 270 | 143 |
| 4 | 792 | 143 |
| 5 | 2052 | 143 |
| 6 | 3142 | 143 |
| 7 | 3591 | 143 |
| 8 | 3712 | 143 |
| 9 | 3734 | 143 |
| 10 | 3752 | 143 |
| 11 | 4562 | 143 |
| 12 | 5668 | 143 |
| 13 | 5816 | 143 |
| 14 | 5850 | 143 |
| 15 | 5890 | 143 |
| 16 | 5908 | 143 |
| 17 | 5940 | 143 |
| 18 | 6006 | 143 |
| 19 | 6244 | 143 |
| 20 | 6244 | 143 |
| 21 | 7760 | 143 |
| 0 | 8156 | 143 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-1 |
(- y 1) |
(- y 1) |
(- y 1) |
y |
(* y (- 1 (/ 1 y))) |
(* y (- 1 (/ 1 y))) |
(* y (- 1 (/ 1 y))) |
y |
(* -1 (* y (- (/ 1 y) 1))) |
(* -1 (* y (- (/ 1 y) 1))) |
(* -1 (* y (- (/ 1 y) 1))) |
(* -1 x) |
(+ (* -1 x) (* x y)) |
(+ (* -1 x) (* x y)) |
(+ (* -1 x) (* x y)) |
(* x y) |
(* y (+ x (* -1 (/ x y)))) |
(* y (+ x (* -1 (/ x y)))) |
(* y (+ x (* -1 (/ x y)))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
(* 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)) |
| Outputs |
|---|
-1 |
#s(literal -1 binary64) |
(- y 1) |
(+.f64 #s(literal -1 binary64) y) |
(- y 1) |
(+.f64 #s(literal -1 binary64) y) |
(- y 1) |
(+.f64 #s(literal -1 binary64) y) |
y |
(* y (- 1 (/ 1 y))) |
(+.f64 #s(literal -1 binary64) y) |
(* y (- 1 (/ 1 y))) |
(+.f64 #s(literal -1 binary64) y) |
(* y (- 1 (/ 1 y))) |
(+.f64 #s(literal -1 binary64) y) |
y |
(* -1 (* y (- (/ 1 y) 1))) |
(+.f64 #s(literal -1 binary64) y) |
(* -1 (* y (- (/ 1 y) 1))) |
(+.f64 #s(literal -1 binary64) y) |
(* -1 (* y (- (/ 1 y) 1))) |
(+.f64 #s(literal -1 binary64) y) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(+ (* -1 x) (* x y)) |
(fma.f64 (+.f64 #s(literal -1 binary64) y) x #s(literal 0 binary64)) |
(+ (* -1 x) (* x y)) |
(fma.f64 (+.f64 #s(literal -1 binary64) y) x #s(literal 0 binary64)) |
(+ (* -1 x) (* x y)) |
(fma.f64 (+.f64 #s(literal -1 binary64) y) x #s(literal 0 binary64)) |
(* x y) |
(fma.f64 y x #s(literal 0 binary64)) |
(* y (+ x (* -1 (/ x y)))) |
(fma.f64 (+.f64 #s(literal -1 binary64) y) x #s(literal 0 binary64)) |
(* y (+ x (* -1 (/ x y)))) |
(fma.f64 (+.f64 #s(literal -1 binary64) y) x #s(literal 0 binary64)) |
(* y (+ x (* -1 (/ x y)))) |
(fma.f64 (+.f64 #s(literal -1 binary64) y) x #s(literal 0 binary64)) |
(* x y) |
(fma.f64 y x #s(literal 0 binary64)) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
(fma.f64 (+.f64 #s(literal -1 binary64) y) x #s(literal 0 binary64)) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
(fma.f64 (+.f64 #s(literal -1 binary64) y) x #s(literal 0 binary64)) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
(fma.f64 (+.f64 #s(literal -1 binary64) y) x #s(literal 0 binary64)) |
(* x (- y 1)) |
(fma.f64 (+.f64 #s(literal -1 binary64) y) x #s(literal 0 binary64)) |
(* x (- y 1)) |
(fma.f64 (+.f64 #s(literal -1 binary64) y) x #s(literal 0 binary64)) |
(* x (- y 1)) |
(fma.f64 (+.f64 #s(literal -1 binary64) y) x #s(literal 0 binary64)) |
(* x (- y 1)) |
(fma.f64 (+.f64 #s(literal -1 binary64) y) x #s(literal 0 binary64)) |
(* x (- y 1)) |
(fma.f64 (+.f64 #s(literal -1 binary64) y) x #s(literal 0 binary64)) |
(* x (- y 1)) |
(fma.f64 (+.f64 #s(literal -1 binary64) y) x #s(literal 0 binary64)) |
(* x (- y 1)) |
(fma.f64 (+.f64 #s(literal -1 binary64) y) x #s(literal 0 binary64)) |
(* x (- y 1)) |
(fma.f64 (+.f64 #s(literal -1 binary64) y) x #s(literal 0 binary64)) |
(* x (- y 1)) |
(fma.f64 (+.f64 #s(literal -1 binary64) y) x #s(literal 0 binary64)) |
(* x (- y 1)) |
(fma.f64 (+.f64 #s(literal -1 binary64) y) x #s(literal 0 binary64)) |
(* x (- y 1)) |
(fma.f64 (+.f64 #s(literal -1 binary64) y) x #s(literal 0 binary64)) |
(* x (- y 1)) |
(fma.f64 (+.f64 #s(literal -1 binary64) y) x #s(literal 0 binary64)) |
Compiled 10 736 to 1 008 computations (90.6% saved)
9 alts after pruning (1 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 423 | 1 | 424 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 6 | 6 |
| Total | 423 | 9 | 432 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (fma.f64 y x (-.f64 y x)) |
| ✓ | 64.2% | (fma.f64 y x y) |
| ✓ | 57.2% | (-.f64 (*.f64 x y) x) |
| ✓ | 77.9% | (-.f64 y x) |
| ✓ | 57.2% | (*.f64 (+.f64 y #s(literal -1 binary64)) x) |
| 23.7% | (*.f64 y x) | |
| ✓ | 36.0% | (neg.f64 x) |
| ✓ | 43.2% | y |
| ✓ | 3.0% | x |
Compiled 90 to 47 computations (47.8% saved)
| Inputs |
|---|
x |
y |
(neg.f64 x) |
(-.f64 #s(literal 0 binary64) x) |
(-.f64 y x) |
(*.f64 y x) |
(fma.f64 y x y) |
(*.f64 (+.f64 y #s(literal -1 binary64)) x) |
(-.f64 (*.f64 x y) x) |
(fma.f64 y x (-.f64 y x)) |
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) |
| Outputs |
|---|
(fma.f64 y x (-.f64 y x)) |
3 calls:
| 9.0ms | (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) |
| 4.0ms | x |
| 4.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
x |
y |
(neg.f64 x) |
(-.f64 #s(literal 0 binary64) x) |
(-.f64 y x) |
(*.f64 y x) |
(fma.f64 y x y) |
(*.f64 (+.f64 y #s(literal -1 binary64)) x) |
(-.f64 (*.f64 x y) x) |
| Outputs |
|---|
(*.f64 (+.f64 y #s(literal -1 binary64)) x) |
(-.f64 y x) |
(*.f64 (+.f64 y #s(literal -1 binary64)) x) |
3 calls:
| 5.0ms | y |
| 3.0ms | x |
| 3.0ms | (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 3 | x |
| 98.8% | 3 | y |
| 89.7% | 3 | (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
x |
y |
(neg.f64 x) |
(-.f64 #s(literal 0 binary64) x) |
(-.f64 y x) |
(*.f64 y x) |
(fma.f64 y x y) |
| Outputs |
|---|
(fma.f64 y x y) |
(-.f64 y x) |
(fma.f64 y x y) |
2 calls:
| 3.0ms | x |
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 3 | y |
| 79.5% | 2 | x |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
x |
y |
(neg.f64 x) |
(-.f64 #s(literal 0 binary64) x) |
(-.f64 y x) |
(*.f64 y x) |
| Outputs |
|---|
(*.f64 y x) |
(-.f64 y x) |
(*.f64 y x) |
2 calls:
| 3.0ms | (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) |
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.9% | 3 | (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) |
| 81.8% | 3 | y |
Compiled 12 to 8 computations (33.3% saved)
| Inputs |
|---|
x |
y |
(neg.f64 x) |
(-.f64 #s(literal 0 binary64) x) |
(-.f64 y x) |
| Outputs |
|---|
(-.f64 y x) |
3 calls:
| 2.0ms | y |
| 2.0ms | (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.9% | 1 | x |
| 77.9% | 1 | y |
| 77.9% | 1 | (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
x |
y |
(neg.f64 x) |
(-.f64 #s(literal 0 binary64) x) |
| Outputs |
|---|
(neg.f64 x) |
y |
(neg.f64 x) |
3 calls:
| 2.0ms | (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) |
| 2.0ms | y |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.0% | 3 | x |
| 44.7% | 2 | (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) |
| 63.0% | 3 | y |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
x |
y |
| Outputs |
|---|
y |
3 calls:
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 43.2% | 1 | (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) |
| 43.2% | 1 | y |
| 43.2% | 1 | x |
Compiled 15 to 10 computations (33.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
x |
| Outputs |
|---|
x |
3 calls:
| 1.0ms | y |
| 1.0ms | (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 3.0% | 1 | x |
| 3.0% | 1 | y |
| 3.0% | 1 | (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) |
Compiled 15 to 10 computations (33.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 60.0ms | 8.921416746330591e-7 | 14506289317257.62 |
| 7.0ms | -1.624511782945784e+30 | -1.380876267272201e+29 |
| 10.0ms | 256× | 0 | valid |
Compiled 236 to 171 computations (27.5% saved)
ival-mult: 2.0ms (42.8% of total)ival-sub: 1.0ms (21.4% of total)ival-add: 1.0ms (21.4% 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 |
|---|---|---|
| 14.0ms | 0.00011555044222211402 | 3125242537.8924074 |
| 9.0ms | -253.94076300445937 | -0.022488715862075685 |
| 14.0ms | 288× | 0 | valid |
Compiled 246 to 155 computations (37% saved)
ival-add: 5.0ms (59.2% of total)ival-mult: 2.0ms (23.7% of total)ival-sub: 1.0ms (11.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.409434807373891e+291 | 1.4438455238923086e+294 |
| 0.0ms | -inf | -1.0124532716651033e+306 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 8.921416746330591e-7 | 14506289317257.62 |
| 8.0ms | -6.384471067249723e-13 | -6.206971106084601e-15 |
| 10.0ms | 272× | 0 | valid |
Compiled 165 to 130 computations (21.2% saved)
ival-mult: 2.0ms (42.2% of total)ival-sub: 1.0ms (21.1% of total)ival-add: 1.0ms (21.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 10× | +-commutative_binary64 |
| 8× | *-commutative_binary64 |
| 8× | if-if-or-not_binary32 |
| 6× | sub-neg_binary64 |
| 2× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 83 |
| 1 | 59 | 83 |
| 2 | 63 | 83 |
| 3 | 64 | 83 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 y x (-.f64 y x)) |
(if (<=.f64 x #s(literal -139999999999999998561722826752 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) x) (if (<=.f64 x #s(literal 1 binary64)) (-.f64 y x) (*.f64 (+.f64 y #s(literal -1 binary64)) x))) |
(if (<=.f64 y #s(literal -1 binary64)) (fma.f64 y x y) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 y x) (fma.f64 y x y))) |
(if (<=.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) #s(literal -inf.0 binary64)) (*.f64 y x) (if (<=.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) #s(literal 10000000000000000132565989783574162680686561089586460035632031477942492726904253214615979418039362499727374638565892090988122974650007025784551738302746731685907395315255274646861058187558214617579496201832662352585538835573636597522107561710941518560028749376834095178551288964115055725510656 binary64)) (-.f64 y x) (*.f64 y x))) |
(-.f64 y x) |
(if (<=.f64 x #s(literal -3565267313141895/9903520314283042199192993792 binary64)) (neg.f64 x) (if (<=.f64 x #s(literal 8500259669165361/4722366482869645213696 binary64)) y (neg.f64 x))) |
y |
x |
| Outputs |
|---|
(fma.f64 y x (-.f64 y x)) |
(if (<=.f64 x #s(literal -139999999999999998561722826752 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) x) (if (<=.f64 x #s(literal 1 binary64)) (-.f64 y x) (*.f64 (+.f64 y #s(literal -1 binary64)) x))) |
(if (<=.f64 x #s(literal -139999999999999998561722826752 binary64)) (*.f64 x (+.f64 y #s(literal -1 binary64))) (if (<=.f64 x #s(literal 1 binary64)) (-.f64 y x) (*.f64 x (+.f64 y #s(literal -1 binary64))))) |
(if (<=.f64 y #s(literal -1 binary64)) (fma.f64 y x y) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 y x) (fma.f64 y x y))) |
(if (<=.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) #s(literal -inf.0 binary64)) (*.f64 y x) (if (<=.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) #s(literal 10000000000000000132565989783574162680686561089586460035632031477942492726904253214615979418039362499727374638565892090988122974650007025784551738302746731685907395315255274646861058187558214617579496201832662352585538835573636597522107561710941518560028749376834095178551288964115055725510656 binary64)) (-.f64 y x) (*.f64 y x))) |
(if (<=.f64 (-.f64 (*.f64 y (+.f64 x #s(literal 1 binary64))) x) #s(literal -inf.0 binary64)) (*.f64 y x) (if (<=.f64 (-.f64 (*.f64 y (+.f64 x #s(literal 1 binary64))) x) #s(literal 10000000000000000132565989783574162680686561089586460035632031477942492726904253214615979418039362499727374638565892090988122974650007025784551738302746731685907395315255274646861058187558214617579496201832662352585538835573636597522107561710941518560028749376834095178551288964115055725510656 binary64)) (-.f64 y x) (*.f64 y x))) |
(-.f64 y x) |
(if (<=.f64 x #s(literal -3565267313141895/9903520314283042199192993792 binary64)) (neg.f64 x) (if (<=.f64 x #s(literal 8500259669165361/4722366482869645213696 binary64)) y (neg.f64 x))) |
(if (<=.f64 x #s(literal -3565267313141895/9903520314283042199192993792 binary64)) (-.f64 #s(literal 0 binary64) x) (if (<=.f64 x #s(literal 8500259669165361/4722366482869645213696 binary64)) y (-.f64 #s(literal 0 binary64) x))) |
y |
x |
| 7 576× | accelerator-lowering-fma.f32 |
| 7 576× | accelerator-lowering-fma.f64 |
| 7 370× | accelerator-lowering-fma.f32 |
| 7 370× | accelerator-lowering-fma.f64 |
| 6 106× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 15 |
| 1 | 35 | 15 |
| 2 | 266 | 15 |
| 3 | 3349 | 15 |
| 0 | 8485 | 13 |
| 0 | 22 | 164 |
| 1 | 61 | 143 |
| 2 | 160 | 143 |
| 3 | 270 | 143 |
| 4 | 792 | 143 |
| 5 | 2052 | 143 |
| 6 | 3142 | 143 |
| 7 | 3591 | 143 |
| 8 | 3712 | 143 |
| 9 | 3734 | 143 |
| 10 | 3752 | 143 |
| 11 | 4562 | 143 |
| 12 | 5668 | 143 |
| 13 | 5816 | 143 |
| 14 | 5850 | 143 |
| 15 | 5890 | 143 |
| 16 | 5908 | 143 |
| 17 | 5940 | 143 |
| 18 | 6006 | 143 |
| 19 | 6244 | 143 |
| 20 | 6244 | 143 |
| 21 | 7760 | 143 |
| 0 | 8156 | 143 |
| 0 | 41 | 291 |
| 1 | 140 | 291 |
| 2 | 363 | 291 |
| 3 | 978 | 291 |
| 4 | 2464 | 291 |
| 5 | 3594 | 291 |
| 6 | 4353 | 291 |
| 7 | 5298 | 291 |
| 8 | 5824 | 291 |
| 9 | 6390 | 291 |
| 10 | 7433 | 291 |
| 0 | 8102 | 250 |
| 0 | 8 | 17 |
| 1 | 57 | 17 |
| 2 | 543 | 17 |
| 0 | 8882 | 15 |
| 0 | 5 | 10 |
| 1 | 24 | 10 |
| 2 | 169 | 10 |
| 3 | 1789 | 9 |
| 0 | 9591 | 8 |
| 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× | node limit |
Compiled 191 to 96 computations (49.7% saved)
Compiled 212 to 84 computations (60.4% saved)
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