
Time bar (total: 9.7s)
| 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 7 computations (22.2% saved)
| 498.0ms | 8 256× | 0 | valid |
ival-mult: 114.0ms (53.6% of total)ival-add: 47.0ms (22.1% of total)ival-sub: 43.0ms (20.2% of total)ival-true: 5.0ms (2.4% of total)ival-assert: 3.0ms (1.4% of total)| 2× | egg-herbie |
| 37 776× | accelerator-lowering-fma.f32 |
| 37 776× | accelerator-lowering-fma.f64 |
| 8 740× | +-lowering-+.f64 |
| 8 740× | +-lowering-+.f32 |
| 3 214× | associate-+r+ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 48 |
| 1 | 48 | 42 |
| 2 | 164 | 42 |
| 3 | 541 | 42 |
| 4 | 1176 | 42 |
| 5 | 2021 | 42 |
| 6 | 2543 | 42 |
| 7 | 3236 | 42 |
| 8 | 4193 | 42 |
| 9 | 4792 | 42 |
| 10 | 4996 | 42 |
| 11 | 5062 | 42 |
| 12 | 5126 | 42 |
| 13 | 5158 | 42 |
| 14 | 6430 | 42 |
| 15 | 7858 | 42 |
| 0 | 5 | 7 |
| 1 | 9 | 7 |
| 2 | 28 | 7 |
| 3 | 70 | 7 |
| 4 | 182 | 7 |
| 5 | 346 | 7 |
| 6 | 693 | 7 |
| 7 | 1323 | 7 |
| 8 | 2261 | 7 |
| 9 | 2882 | 7 |
| 10 | 3050 | 7 |
| 11 | 3092 | 7 |
| 12 | 3130 | 7 |
| 13 | 3130 | 7 |
| 14 | 3130 | 7 |
| 15 | 3132 | 7 |
| 0 | 8264 | 7 |
| 1× | iter limit |
| 1× | node limit |
| 1× | node limit |
| Inputs |
|---|
(* (+ x y) (- x y)) |
| Outputs |
|---|
(* (+ x y) (- x y)) |
(fma.f64 (+.f64 x y) (-.f64 x y) #s(literal 0 binary64)) |
| Inputs |
|---|
(* (+ x y) (- x y)) |
(* (+ (neg x) y) (- (neg x) y)) |
(* (+ x (neg y)) (- x (neg y))) |
(neg (* (+ (neg x) y) (- (neg x) y))) |
(neg (* (+ x (neg y)) (- x (neg y)))) |
(* (+ y x) (- y x)) |
| Outputs |
|---|
(* (+ x y) (- x y)) |
(- (* x x) (* y y)) |
(* (+ (neg x) y) (- (neg x) y)) |
(- (* x x) (* y y)) |
(* (+ x (neg y)) (- x (neg y))) |
(- (* x x) (* y y)) |
(neg (* (+ (neg x) y) (- (neg x) y))) |
(- (* y y) (* x x)) |
(neg (* (+ x (neg y)) (- x (neg y)))) |
(- (* y y) (* x x)) |
(* (+ y x) (- y x)) |
(- (* y y) (* x x)) |
(abs x)
(abs y)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 (+.f64 x y) (-.f64 x y)) |
| 0 | 0 | - | 0 | - | (+.f64 x y) |
| 0 | 0 | - | 0 | - | (-.f64 x y) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 160.0ms | 512× | 0 | valid |
Compiled 52 to 24 computations (53.8% saved)
ival-add: 75.0ms (92.4% of total)ival-sub: 3.0ms (3.7% of total)ival-mult: 3.0ms (3.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (*.f64 (+.f64 x y) (-.f64 x y)) |
Compiled 9 to 5 computations (44.4% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | -64 | (*.f64 (+.f64 x y) (-.f64 x y)) |
| ✓ | cost-diff | 0 | (-.f64 x y) |
| ✓ | cost-diff | 0 | (+.f64 x y) |
| 37 776× | accelerator-lowering-fma.f32 |
| 37 776× | accelerator-lowering-fma.f64 |
| 8 740× | +-lowering-+.f64 |
| 8 740× | +-lowering-+.f32 |
| 3 214× | associate-+r+ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 15 |
| 1 | 9 | 15 |
| 2 | 28 | 15 |
| 3 | 70 | 15 |
| 4 | 182 | 15 |
| 5 | 346 | 15 |
| 6 | 693 | 15 |
| 7 | 1323 | 15 |
| 8 | 2261 | 15 |
| 9 | 2882 | 15 |
| 10 | 3050 | 15 |
| 11 | 3092 | 15 |
| 12 | 3130 | 15 |
| 13 | 3130 | 15 |
| 14 | 3130 | 15 |
| 15 | 3132 | 15 |
| 0 | 8264 | 15 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (+ x y) (- x y)) |
(+ x y) |
x |
y |
(- x y) |
| Outputs |
|---|
(* (+ x y) (- x y)) |
(fma.f64 (+.f64 x y) (-.f64 x y) #s(literal 0 binary64)) |
(+ x y) |
(+.f64 x y) |
x |
y |
(- x y) |
(-.f64 x y) |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (-.f64 x y) |
| ✓ | accuracy | 100.0% | (+.f64 x y) |
| ✓ | accuracy | 100.0% | (*.f64 (+.f64 x y) (-.f64 x y)) |
| 10.0ms | 256× | 0 | valid |
Compiled 17 to 7 computations (58.8% saved)
ival-sub: 1.0ms (21.6% of total)ival-add: 1.0ms (21.6% of total)ival-mult: 1.0ms (21.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ x y)> |
#<alt (- x y)> |
#<alt (* (+ x y) (- x y))> |
| Outputs |
|---|
#<alt y> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt x> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt x> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt y> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt y> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
#<alt (* -1 y)> |
#<alt (- x y)> |
#<alt (- x y)> |
#<alt (- x y)> |
#<alt x> |
#<alt (* x (+ 1 (* -1 (/ y x))))> |
#<alt (* x (+ 1 (* -1 (/ y x))))> |
#<alt (* x (+ 1 (* -1 (/ y x))))> |
#<alt x> |
#<alt (* -1 (* x (- (/ y x) 1)))> |
#<alt (* -1 (* x (- (/ y x) 1)))> |
#<alt (* -1 (* x (- (/ y x) 1)))> |
#<alt x> |
#<alt (+ x (* -1 y))> |
#<alt (+ x (* -1 y))> |
#<alt (+ x (* -1 y))> |
#<alt (* -1 y)> |
#<alt (* y (- (/ x y) 1))> |
#<alt (* y (- (/ x y) 1))> |
#<alt (* y (- (/ x y) 1))> |
#<alt (* -1 y)> |
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))> |
#<alt (* -1 (pow y 2))> |
#<alt (+ (* -1 (pow y 2)) (* x (+ y (* -1 y))))> |
#<alt (+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))> |
#<alt (+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))> |
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))> |
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))> |
#<alt (pow x 2)> |
#<alt (+ (* y (+ x (* -1 x))) (pow x 2))> |
#<alt (+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))> |
#<alt (+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))> |
#<alt (* -1 (pow y 2))> |
#<alt (* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1))> |
#<alt (* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))> |
#<alt (* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))> |
#<alt (* -1 (pow y 2))> |
#<alt (* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1))> |
#<alt (* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))> |
#<alt (* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))> |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | 0 | (* (+ x y) (- x y)) |
| 0.0ms | x | @ | -inf | (* (+ x y) (- x y)) |
| 0.0ms | x | @ | 0 | (* (+ x y) (- x y)) |
| 0.0ms | y | @ | inf | (* (+ x y) (- x y)) |
| 0.0ms | x | @ | inf | (+ x y) |
| 1× | batch-egg-rewrite |
| 5 088× | accelerator-lowering-fma.f32 |
| 5 088× | accelerator-lowering-fma.f64 |
| 4 974× | *-lowering-*.f32 |
| 4 974× | *-lowering-*.f64 |
| 3 706× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 13 |
| 1 | 26 | 13 |
| 2 | 247 | 13 |
| 3 | 3942 | 13 |
| 0 | 9468 | 13 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x y) |
(- x y) |
(* (+ x y) (- x y)) |
| Outputs |
|---|
(+.f64 x y) |
(+.f64 x (neg.f64 (-.f64 #s(literal 0 binary64) y))) |
(+.f64 x (*.f64 #s(literal 1 binary64) y)) |
(+.f64 y x) |
(+.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) |
(+.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) x)) |
(+.f64 (*.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x)))) #s(literal 1 binary64)) (*.f64 x x)) (*.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x)))) #s(literal 1 binary64)) (*.f64 y (+.f64 x y)))) |
(+.f64 (*.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x)))) #s(literal 1 binary64)) (*.f64 y (+.f64 x y))) (*.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x)))) #s(literal 1 binary64)) (*.f64 x x))) |
(+.f64 (*.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x)))) #s(literal 1 binary64)) (fma.f64 x x (*.f64 y y))) (*.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x)))) #s(literal 1 binary64)) (*.f64 x y))) |
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) y)) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x)))) #s(literal 1 binary64))) (*.f64 (*.f64 y (+.f64 x y)) (*.f64 (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x)))) #s(literal 1 binary64)))) |
(+.f64 (*.f64 (*.f64 y (+.f64 x y)) (*.f64 (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x)))) #s(literal 1 binary64))) (*.f64 (*.f64 x x) (*.f64 (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x)))) #s(literal 1 binary64)))) |
(+.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x)))) #s(literal 1 binary64))) (*.f64 (*.f64 x y) (*.f64 (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x)))) #s(literal 1 binary64)))) |
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 y #s(literal 1 binary64))) |
(+.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64))) |
(+.f64 (-.f64 x #s(literal 0 binary64)) y) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y))) #s(literal -1 binary64))) |
(-.f64 x (-.f64 #s(literal 0 binary64) y)) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 y #s(literal 1 binary64))) |
(fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) |
(fma.f64 y #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) |
(fma.f64 (*.f64 x x) (*.f64 (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x)))) #s(literal 1 binary64)) (*.f64 (*.f64 y (+.f64 x y)) (*.f64 (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x)))) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 y (+.f64 x y)) (*.f64 (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x)))) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x)))) #s(literal 1 binary64)))) |
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 1 binary64) y)) |
(fma.f64 #s(literal 1 binary64) y (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x)))) #s(literal 1 binary64)) (*.f64 (*.f64 x y) (*.f64 (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x)))) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x)))) #s(literal 1 binary64)) (*.f64 x x) (*.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x)))) #s(literal 1 binary64)) (*.f64 y (+.f64 x y)))) |
(fma.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x)))) #s(literal 1 binary64)) (*.f64 y (+.f64 x y)) (*.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x)))) #s(literal 1 binary64)) (*.f64 x x))) |
(fma.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x)))) #s(literal 1 binary64)) (fma.f64 x x (*.f64 y y)) (*.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x)))) #s(literal 1 binary64)) (*.f64 x y))) |
(fma.f64 (/.f64 x (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 x (+.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 x y) (-.f64 x y))) (+.f64 x y) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) |
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (fma.f64 x x (*.f64 y (+.f64 x y))) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) |
(fma.f64 (/.f64 x (*.f64 (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x)))) #s(literal 1 binary64))) (/.f64 x (fma.f64 x x (*.f64 y (-.f64 y x)))) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) |
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) |
(fma.f64 (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 x y))))) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) |
(fma.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) |
(fma.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (-.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 y (+.f64 x y)))) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) (-.f64 x y)))) (-.f64 #s(literal 0 binary64) (+.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) |
(neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 x y))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 x x (*.f64 y (-.f64 y x)))) |
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 x y)) |
(/.f64 (*.f64 (+.f64 x y) (*.f64 (-.f64 x y) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (*.f64 (-.f64 x y) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) |
(/.f64 (*.f64 (+.f64 x y) (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y)))) (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 y (-.f64 y x))))) |
(/.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) (-.f64 x y))) (-.f64 #s(literal 0 binary64) (-.f64 x y))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (*.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (*.f64 (+.f64 x y) (-.f64 y x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 (-.f64 x y) (*.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (fma.f64 x x (*.f64 y (+.f64 x y)))))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 (-.f64 x y) (fma.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y)) (*.f64 (*.f64 x x) (*.f64 x x))))) |
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x)) |
(/.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (-.f64 x y) (fma.f64 x x (*.f64 y y)))) |
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(pow.f64 (/.f64 (*.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (fma.f64 x x (*.f64 y (+.f64 x y)))) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (+.f64 x y) (*.f64 (-.f64 x y) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y)) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (*.f64 (-.f64 x y) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 x y) (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (*.f64 (+.f64 x y) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y)))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 x y))) #s(literal -1 binary64)) |
(*.f64 (+.f64 x y) (-.f64 x y)) |
(*.f64 (-.f64 x y) (+.f64 x y)) |
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x)))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x))))) |
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 (+.f64 x y) (fma.f64 x x (*.f64 y (+.f64 x y))))) |
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (-.f64 y x)))) (-.f64 x y))) |
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 x y)))) (+.f64 x y))) |
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (fma.f64 x x (*.f64 y (+.f64 x y)))))) |
(*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) #s(literal 1 binary64)) |
(*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) |
(*.f64 (*.f64 (+.f64 x y) (*.f64 (-.f64 x y) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) |
(*.f64 (*.f64 (+.f64 x y) (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 x y)))) |
(*.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y)))) |
(*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (fma.f64 x x (*.f64 y (+.f64 x y)))))) |
(*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y)) (*.f64 (*.f64 x x) (*.f64 x x))))) |
(*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y y)))) |
(*.f64 (*.f64 (-.f64 x y) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (-.f64 y x))))) |
(*.f64 (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 x y))) |
(*.f64 (*.f64 (+.f64 x y) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 x y))))) |
(*.f64 (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (+.f64 x y))) |
(*.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x)))) #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) |
(*.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x)))) #s(literal 1 binary64)) (/.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 x y)))))) |
(*.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x)))) #s(literal 1 binary64)) (/.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (-.f64 y x)))))) |
(*.f64 (/.f64 (+.f64 x y) #s(literal 1 binary64)) (-.f64 x y)) |
(*.f64 (/.f64 (-.f64 x y) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 x y)))))) |
(*.f64 (/.f64 (-.f64 x y) #s(literal 1 binary64)) (+.f64 x y)) |
(*.f64 (/.f64 (-.f64 x y) (*.f64 (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x)))) #s(literal 1 binary64))) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (fma.f64 x x (*.f64 y (-.f64 y x))))) |
(*.f64 (/.f64 (+.f64 x y) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (-.f64 y x)))))) |
(*.f64 (/.f64 (+.f64 x y) (*.f64 (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x)))) #s(literal 1 binary64))) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (fma.f64 x x (*.f64 y (+.f64 x y))))) |
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x)))) #s(literal 1 binary64))) (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x))))) |
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x)))) #s(literal 1 binary64))) (/.f64 (+.f64 x y) (fma.f64 x x (*.f64 y (+.f64 x y))))) |
(*.f64 (*.f64 (+.f64 x y) (*.f64 (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x)))) #s(literal 1 binary64))) (fma.f64 x x (*.f64 y (-.f64 y x)))) |
(*.f64 (*.f64 (-.f64 x y) (*.f64 (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x)))) #s(literal 1 binary64))) (fma.f64 x x (*.f64 y (+.f64 x y)))) |
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (/.f64 (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (fma.f64 x x (*.f64 y (-.f64 y x)))) |
(*.f64 (/.f64 (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x y))) |
(*.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (fma.f64 x x (*.f64 y (+.f64 x y)))) |
(*.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x y))) |
(*.f64 (/.f64 (*.f64 (+.f64 x y) (*.f64 (-.f64 x y) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))) |
(*.f64 (/.f64 (*.f64 (+.f64 x y) (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y)))) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (*.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (fma.f64 x x (*.f64 y (+.f64 x y))))) |
(*.f64 (/.f64 (*.f64 (+.f64 x y) (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y)))) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (fma.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(*.f64 (/.f64 (*.f64 (+.f64 x y) (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y)))) (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y)))) (fma.f64 x x (*.f64 y y))) |
(*.f64 (/.f64 (*.f64 (+.f64 x y) (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y)))) (*.f64 (-.f64 x y) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (fma.f64 x x (*.f64 y (-.f64 y x)))) |
(*.f64 (/.f64 (*.f64 (+.f64 x y) (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y)))) (*.f64 (+.f64 x y) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (fma.f64 x x (*.f64 y (+.f64 x y)))) |
(*.f64 (/.f64 (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y))) (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (-.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 y (-.f64 y x))))) |
(*.f64 (/.f64 (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) (-.f64 x y)))) (-.f64 #s(literal 0 binary64) (-.f64 x y))) |
(*.f64 (/.f64 (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (+.f64 x y) (-.f64 y x))) (-.f64 y x)) |
(*.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) (-.f64 x y)))) (-.f64 #s(literal 0 binary64) (+.f64 x y))) |
(*.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y))) (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (-.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 y (+.f64 x y))))) |
(*.f64 (/.f64 (*.f64 (-.f64 x y) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 y (-.f64 y x)) (*.f64 (*.f64 y (-.f64 y x)) (*.f64 y (-.f64 y x)))))) (fma.f64 (*.f64 y (-.f64 y x)) (-.f64 (*.f64 y (-.f64 y x)) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(*.f64 (/.f64 (*.f64 (-.f64 x y) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (-.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))) (-.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))) |
(*.f64 (/.f64 (*.f64 (+.f64 x y) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 y (+.f64 x y)) (*.f64 (*.f64 y (+.f64 x y)) (*.f64 y (+.f64 x y)))))) (fma.f64 (*.f64 y (+.f64 x y)) (-.f64 (*.f64 y (+.f64 x y)) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(*.f64 (/.f64 (*.f64 (+.f64 x y) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))) (-.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) |
| 1× | egg-herbie |
| 14 152× | accelerator-lowering-fma.f32 |
| 14 152× | accelerator-lowering-fma.f64 |
| 2 614× | --lowering--.f32 |
| 2 614× | --lowering--.f64 |
| 2 222× | *-lowering-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 86 | 309 |
| 1 | 265 | 249 |
| 2 | 789 | 249 |
| 3 | 3286 | 249 |
| 0 | 8553 | 249 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
y |
(+ x y) |
(+ x y) |
(+ x y) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 y) |
(- x y) |
(- x y) |
(- x y) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
x |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
x |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(* -1 y) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (pow y 2)) |
(+ (* -1 (pow y 2)) (* x (+ y (* -1 y)))) |
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y))))) |
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x)))) |
(pow x 2) |
(+ (* y (+ x (* -1 x))) (pow x 2)) |
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2)) |
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2)) |
(* -1 (pow y 2)) |
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1)) |
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1)) |
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1)) |
(* -1 (pow y 2)) |
(* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1)) |
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1)) |
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1)) |
| Outputs |
|---|
y |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
x |
(* x (+ 1 (/ y x))) |
(+.f64 y x) |
(* x (+ 1 (/ y x))) |
(+.f64 y x) |
(* x (+ 1 (/ y x))) |
(+.f64 y x) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 y x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 y x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 y x) |
x |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
y |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 y x) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 y x) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 y x) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(- x y) |
(-.f64 x y) |
(- x y) |
(-.f64 x y) |
(- x y) |
(-.f64 x y) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(-.f64 x y) |
(* x (+ 1 (* -1 (/ y x)))) |
(-.f64 x y) |
(* x (+ 1 (* -1 (/ y x)))) |
(-.f64 x y) |
x |
(* -1 (* x (- (/ y x) 1))) |
(-.f64 x y) |
(* -1 (* x (- (/ y x) 1))) |
(-.f64 x y) |
(* -1 (* x (- (/ y x) 1))) |
(-.f64 x y) |
x |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* y (- (/ x y) 1)) |
(-.f64 x y) |
(* y (- (/ x y) 1)) |
(-.f64 x y) |
(* y (- (/ x y) 1)) |
(-.f64 x y) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 x y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 x y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 x y) |
(* -1 (pow y 2)) |
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) |
(+ (* -1 (pow y 2)) (* x (+ y (* -1 y)))) |
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) |
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y))))) |
(fma.f64 (+.f64 y x) (-.f64 x y) #s(literal 0 binary64)) |
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y))))) |
(fma.f64 (+.f64 y x) (-.f64 x y) #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) |
(fma.f64 x x #s(literal 0 binary64)) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) |
(fma.f64 (+.f64 y x) (-.f64 x y) #s(literal 0 binary64)) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) |
(fma.f64 (+.f64 y x) (-.f64 x y) #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) |
(fma.f64 x x #s(literal 0 binary64)) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x)))) |
(fma.f64 (+.f64 y x) (-.f64 x y) #s(literal 0 binary64)) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x)))) |
(fma.f64 (+.f64 y x) (-.f64 x y) #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(+ (* y (+ x (* -1 x))) (pow x 2)) |
(fma.f64 x x #s(literal 0 binary64)) |
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2)) |
(fma.f64 (+.f64 y x) (-.f64 x y) #s(literal 0 binary64)) |
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2)) |
(fma.f64 (+.f64 y x) (-.f64 x y) #s(literal 0 binary64)) |
(* -1 (pow y 2)) |
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) |
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1)) |
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) |
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1)) |
(fma.f64 (+.f64 y x) (-.f64 x y) #s(literal 0 binary64)) |
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1)) |
(fma.f64 (+.f64 y x) (-.f64 x y) #s(literal 0 binary64)) |
(* -1 (pow y 2)) |
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) |
(* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1)) |
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) |
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1)) |
(fma.f64 (+.f64 y x) (-.f64 x y) #s(literal 0 binary64)) |
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1)) |
(fma.f64 (+.f64 y x) (-.f64 x y) #s(literal 0 binary64)) |
Compiled 43 296 to 2 873 computations (93.4% saved)
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 159 | 4 | 1 163 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 1 159 | 5 | 1 164 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 97.3% | (fma.f64 (-.f64 #s(literal 0 binary64) y) y (*.f64 x x)) |
| ▶ | 56.5% | (fma.f64 x x #s(literal 0 binary64)) |
| ▶ | 48.6% | (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) |
| ✓ | 100.0% | (*.f64 (+.f64 x y) (-.f64 x y)) |
| ▶ | 57.2% | (*.f64 y (-.f64 x y)) |
Compiled 40 to 24 computations (40% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | -64 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 0 binary64) y) |
| ✓ | cost-diff | 192 | (fma.f64 (-.f64 #s(literal 0 binary64) y) y (*.f64 x x)) |
| ✓ | cost-diff | 0 | (fma.f64 x x #s(literal 0 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 y y #s(literal 0 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) |
| ✓ | cost-diff | -64 | (*.f64 y (-.f64 x y)) |
| ✓ | cost-diff | 0 | (-.f64 x y) |
| 16 176× | accelerator-lowering-fma.f32 |
| 16 176× | accelerator-lowering-fma.f64 |
| 2 984× | +-lowering-+.f64 |
| 2 984× | +-lowering-+.f32 |
| 2 960× | --lowering--.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 40 |
| 1 | 27 | 40 |
| 2 | 53 | 39 |
| 3 | 90 | 39 |
| 4 | 147 | 39 |
| 5 | 258 | 39 |
| 6 | 442 | 39 |
| 7 | 759 | 39 |
| 8 | 1396 | 39 |
| 9 | 2293 | 39 |
| 10 | 3112 | 39 |
| 11 | 3578 | 39 |
| 12 | 3684 | 39 |
| 13 | 3730 | 39 |
| 14 | 3748 | 39 |
| 15 | 6010 | 39 |
| 16 | 6715 | 39 |
| 17 | 7359 | 39 |
| 18 | 7940 | 39 |
| 19 | 7948 | 39 |
| 20 | 7948 | 39 |
| 0 | 8210 | 39 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* y (- x y)) |
y |
(- x y) |
x |
(- 0 (+ (* y y) 0)) |
0 |
(+ (* y y) 0) |
y |
(+ (* x x) 0) |
x |
0 |
(+ (* (- 0 y) y) (* x x)) |
(- 0 y) |
0 |
y |
(* x x) |
x |
| Outputs |
|---|
(* y (- x y)) |
(fma.f64 y (-.f64 x y) #s(literal 0 binary64)) |
y |
(- x y) |
(-.f64 x y) |
x |
(- 0 (+ (* y y) 0)) |
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) |
0 |
#s(literal 0 binary64) |
(+ (* y y) 0) |
(fma.f64 y y #s(literal 0 binary64)) |
y |
(+ (* x x) 0) |
(fma.f64 x x #s(literal 0 binary64)) |
x |
0 |
#s(literal 0 binary64) |
(+ (* (- 0 y) y) (* x x)) |
(fma.f64 (-.f64 x y) (+.f64 y x) #s(literal 0 binary64)) |
(- 0 y) |
(-.f64 #s(literal 0 binary64) y) |
0 |
#s(literal 0 binary64) |
y |
(* x x) |
(fma.f64 x x #s(literal 0 binary64)) |
x |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 0 binary64) y) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 97.3% | (fma.f64 (-.f64 #s(literal 0 binary64) y) y (*.f64 x x)) |
| ✓ | accuracy | 100.0% | (fma.f64 x x #s(literal 0 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 y y #s(literal 0 binary64)) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) |
| ✓ | accuracy | 100.0% | (-.f64 x y) |
| ✓ | accuracy | 100.0% | (*.f64 y (-.f64 x y)) |
| 28.0ms | 256× | 0 | valid |
Compiled 47 to 15 computations (68.1% saved)
ival-sub: 9.0ms (48% of total)ival-mult: 6.0ms (32% of total)ival-add: 3.0ms (16% 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 y)> |
#<alt (* y (- x y))> |
#<alt (- 0 (+ (* y y) 0))> |
#<alt (+ (* y y) 0)> |
#<alt (+ (* x x) 0)> |
#<alt (+ (* (- 0 y) y) (* x x))> |
#<alt (- 0 y)> |
#<alt (* x x)> |
| Outputs |
|---|
#<alt (* -1 y)> |
#<alt (- x y)> |
#<alt (- x y)> |
#<alt (- x y)> |
#<alt x> |
#<alt (* x (+ 1 (* -1 (/ y x))))> |
#<alt (* x (+ 1 (* -1 (/ y x))))> |
#<alt (* x (+ 1 (* -1 (/ y x))))> |
#<alt x> |
#<alt (* -1 (* x (- (/ y x) 1)))> |
#<alt (* -1 (* x (- (/ y x) 1)))> |
#<alt (* -1 (* x (- (/ y x) 1)))> |
#<alt x> |
#<alt (+ x (* -1 y))> |
#<alt (+ x (* -1 y))> |
#<alt (+ x (* -1 y))> |
#<alt (* -1 y)> |
#<alt (* y (- (/ x y) 1))> |
#<alt (* y (- (/ x y) 1))> |
#<alt (* y (- (/ x y) 1))> |
#<alt (* -1 y)> |
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))> |
#<alt (* x y)> |
#<alt (* y (+ x (* -1 y)))> |
#<alt (* y (+ x (* -1 y)))> |
#<alt (* y (+ x (* -1 y)))> |
#<alt (* -1 (pow y 2))> |
#<alt (* (pow y 2) (- (/ x y) 1))> |
#<alt (* (pow y 2) (- (/ x y) 1))> |
#<alt (* (pow y 2) (- (/ x y) 1))> |
#<alt (* -1 (pow y 2))> |
#<alt (* (pow y 2) (- (/ x y) 1))> |
#<alt (* (pow y 2) (- (/ x y) 1))> |
#<alt (* (pow y 2) (- (/ x y) 1))> |
#<alt (* -1 (pow y 2))> |
#<alt (+ (* -1 (pow y 2)) (* x y))> |
#<alt (+ (* -1 (pow y 2)) (* x y))> |
#<alt (+ (* -1 (pow y 2)) (* x y))> |
#<alt (* x y)> |
#<alt (* x (+ y (* -1 (/ (pow y 2) x))))> |
#<alt (* x (+ y (* -1 (/ (pow y 2) x))))> |
#<alt (* x (+ y (* -1 (/ (pow y 2) x))))> |
#<alt (* x y)> |
#<alt (* -1 (* x (+ (* -1 y) (/ (pow y 2) x))))> |
#<alt (* -1 (* x (+ (* -1 y) (/ (pow y 2) x))))> |
#<alt (* -1 (* x (+ (* -1 y) (/ (pow y 2) x))))> |
#<alt (* -1 (pow y 2))> |
#<alt (* -1 (pow y 2))> |
#<alt (* -1 (pow y 2))> |
#<alt (* -1 (pow y 2))> |
#<alt (* -1 (pow y 2))> |
#<alt (* -1 (pow y 2))> |
#<alt (* -1 (pow y 2))> |
#<alt (* -1 (pow y 2))> |
#<alt (* -1 (pow y 2))> |
#<alt (* -1 (pow y 2))> |
#<alt (* -1 (pow y 2))> |
#<alt (* -1 (pow y 2))> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (+ (* -1 (pow y 2)) (pow x 2))> |
#<alt (+ (* -1 (pow y 2)) (pow x 2))> |
#<alt (+ (* -1 (pow y 2)) (pow x 2))> |
#<alt (* -1 (pow y 2))> |
#<alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))> |
#<alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))> |
#<alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))> |
#<alt (* -1 (pow y 2))> |
#<alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))> |
#<alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))> |
#<alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))> |
#<alt (* -1 (pow y 2))> |
#<alt (+ (* -1 (pow y 2)) (pow x 2))> |
#<alt (+ (* -1 (pow y 2)) (pow x 2))> |
#<alt (+ (* -1 (pow y 2)) (pow x 2))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
33 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (* y (- x y)) |
| 0.0ms | x | @ | 0 | (+ (* (- 0 y) y) (* x x)) |
| 0.0ms | y | @ | -inf | (* y (- x y)) |
| 0.0ms | y | @ | 0 | (+ (* (- 0 y) y) (* x x)) |
| 0.0ms | y | @ | 0 | (- 0 (+ (* y y) 0)) |
| 1× | batch-egg-rewrite |
| 8 264× | accelerator-lowering-fma.f32 |
| 8 264× | accelerator-lowering-fma.f64 |
| 2 572× | *-lowering-*.f32 |
| 2 572× | *-lowering-*.f64 |
| 2 016× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 32 |
| 1 | 94 | 31 |
| 2 | 937 | 28 |
| 0 | 10592 | 27 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- x y) |
(* y (- x y)) |
(- 0 (+ (* y y) 0)) |
(+ (* y y) 0) |
(+ (* x x) 0) |
(+ (* (- 0 y) y) (* x x)) |
(- 0 y) |
(* x x) |
| Outputs |
|---|
(+.f64 x y) |
(+.f64 y x) |
(+.f64 y (-.f64 #s(literal 0 binary64) x)) |
(+.f64 y (+.f64 #s(literal 0 binary64) x)) |
(+.f64 #s(literal 0 binary64) (+.f64 x y)) |
(+.f64 (+.f64 x y) #s(literal 0 binary64)) |
(+.f64 (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x x (fma.f64 y (+.f64 x y) #s(literal 0 binary64)))) (neg.f64 (/.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x x (fma.f64 y (+.f64 x y) #s(literal 0 binary64)))))) |
(+.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x y)) (neg.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 x y)))) |
(+.f64 (-.f64 #s(literal 0 binary64) x) y) |
(+.f64 (-.f64 x #s(literal 0 binary64)) y) |
(-.f64 x y) |
(-.f64 y (-.f64 #s(literal 0 binary64) x)) |
(-.f64 #s(literal 0 binary64) (+.f64 x y)) |
(-.f64 #s(literal 0 binary64) (-.f64 y x)) |
(-.f64 (+.f64 x y) #s(literal 0 binary64)) |
(-.f64 (+.f64 x y) (/.f64 #s(literal 0 binary64) (+.f64 x y))) |
(-.f64 (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x x (fma.f64 y (+.f64 x y) #s(literal 0 binary64)))) (/.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x x (fma.f64 y (+.f64 x y) #s(literal 0 binary64))))) |
(-.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x y)) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 x y))) |
(-.f64 (/.f64 (/.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))) (+.f64 x y)) (/.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))) (+.f64 x y))) |
(-.f64 (-.f64 x #s(literal 0 binary64)) y) |
(fma.f64 y (/.f64 y y) x) |
(fma.f64 y (/.f64 y y) (-.f64 #s(literal 0 binary64) x)) |
(fma.f64 y (/.f64 y y) (+.f64 #s(literal 0 binary64) x)) |
(fma.f64 y (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64)))) x) |
(fma.f64 y (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) x)) |
(fma.f64 y (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64)))) (+.f64 #s(literal 0 binary64) x)) |
(fma.f64 y (*.f64 y (/.f64 #s(literal 1 binary64) y)) x) |
(fma.f64 y (*.f64 y (/.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 0 binary64) x)) |
(fma.f64 y (*.f64 y (/.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 0 binary64) x)) |
(fma.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) y) x) |
(fma.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) x)) |
(fma.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 0 binary64) x)) |
(fma.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) y)) x) |
(fma.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 0 binary64) x)) |
(fma.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 0 binary64) x)) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x y)) (neg.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 x y)))) |
(fma.f64 (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 x y))) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 y (fma.f64 y (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) x) |
(fma.f64 (fma.f64 y (fma.f64 y (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) x)) |
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(*.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))) |
(*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))) |
(*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) x) (/.f64 (fma.f64 x x #s(literal 0 binary64)) x)) |
(*.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) x) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(*.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 x x #s(literal 0 binary64)) x)) |
(*.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) x)) |
(*.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) x) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(*.f64 (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) x) (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(*.f64 (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) x) (/.f64 x x)) |
(*.f64 (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) x)) |
(*.f64 (/.f64 x x) (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) x)) |
(*.f64 (/.f64 x (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))) |
(*.f64 (/.f64 x (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))) |
(*.f64 (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))) |
(*.f64 (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) |
| 1× | egg-herbie |
| 8 940× | accelerator-lowering-fma.f32 |
| 8 940× | accelerator-lowering-fma.f64 |
| 3 520× | *-lowering-*.f32 |
| 3 520× | *-lowering-*.f64 |
| 2 038× | unsub-neg |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 519 |
| 1 | 132 | 501 |
| 2 | 358 | 501 |
| 3 | 1055 | 501 |
| 4 | 2194 | 501 |
| 5 | 4641 | 501 |
| 6 | 7061 | 501 |
| 0 | 8282 | 501 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 y) |
(- x y) |
(- x y) |
(- x y) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
x |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
x |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(* -1 y) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* x y) |
(* y (+ x (* -1 y))) |
(* y (+ x (* -1 y))) |
(* y (+ x (* -1 y))) |
(* -1 (pow y 2)) |
(* (pow y 2) (- (/ x y) 1)) |
(* (pow y 2) (- (/ x y) 1)) |
(* (pow y 2) (- (/ x y) 1)) |
(* -1 (pow y 2)) |
(* (pow y 2) (- (/ x y) 1)) |
(* (pow y 2) (- (/ x y) 1)) |
(* (pow y 2) (- (/ x y) 1)) |
(* -1 (pow y 2)) |
(+ (* -1 (pow y 2)) (* x y)) |
(+ (* -1 (pow y 2)) (* x y)) |
(+ (* -1 (pow y 2)) (* x y)) |
(* x y) |
(* x (+ y (* -1 (/ (pow y 2) x)))) |
(* x (+ y (* -1 (/ (pow y 2) x)))) |
(* x (+ y (* -1 (/ (pow y 2) x)))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (/ (pow y 2) x)))) |
(* -1 (* x (+ (* -1 y) (/ (pow y 2) x)))) |
(* -1 (* x (+ (* -1 y) (/ (pow y 2) x)))) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(+ (* -1 (pow y 2)) (pow x 2)) |
(+ (* -1 (pow y 2)) (pow x 2)) |
(+ (* -1 (pow y 2)) (pow x 2)) |
(* -1 (pow y 2)) |
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1)) |
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1)) |
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1)) |
(* -1 (pow y 2)) |
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1)) |
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1)) |
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1)) |
(* -1 (pow y 2)) |
(+ (* -1 (pow y 2)) (pow x 2)) |
(+ (* -1 (pow y 2)) (pow x 2)) |
(+ (* -1 (pow y 2)) (pow x 2)) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
| Outputs |
|---|
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(- x y) |
(-.f64 x y) |
(- x y) |
(-.f64 x y) |
(- x y) |
(-.f64 x y) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(-.f64 x y) |
(* x (+ 1 (* -1 (/ y x)))) |
(-.f64 x y) |
(* x (+ 1 (* -1 (/ y x)))) |
(-.f64 x y) |
x |
(* -1 (* x (- (/ y x) 1))) |
(-.f64 x y) |
(* -1 (* x (- (/ y x) 1))) |
(-.f64 x y) |
(* -1 (* x (- (/ y x) 1))) |
(-.f64 x y) |
x |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* y (- (/ x y) 1)) |
(-.f64 x y) |
(* y (- (/ x y) 1)) |
(-.f64 x y) |
(* y (- (/ x y) 1)) |
(-.f64 x y) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 x y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 x y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 x y) |
(* x y) |
(fma.f64 y x #s(literal 0 binary64)) |
(* y (+ x (* -1 y))) |
(fma.f64 y (-.f64 x y) #s(literal 0 binary64)) |
(* y (+ x (* -1 y))) |
(fma.f64 y (-.f64 x y) #s(literal 0 binary64)) |
(* y (+ x (* -1 y))) |
(fma.f64 y (-.f64 x y) #s(literal 0 binary64)) |
(* -1 (pow y 2)) |
(fma.f64 y (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64)) |
(* (pow y 2) (- (/ x y) 1)) |
(fma.f64 y (-.f64 x y) #s(literal 0 binary64)) |
(* (pow y 2) (- (/ x y) 1)) |
(fma.f64 y (-.f64 x y) #s(literal 0 binary64)) |
(* (pow y 2) (- (/ x y) 1)) |
(fma.f64 y (-.f64 x y) #s(literal 0 binary64)) |
(* -1 (pow y 2)) |
(fma.f64 y (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64)) |
(* (pow y 2) (- (/ x y) 1)) |
(fma.f64 y (-.f64 x y) #s(literal 0 binary64)) |
(* (pow y 2) (- (/ x y) 1)) |
(fma.f64 y (-.f64 x y) #s(literal 0 binary64)) |
(* (pow y 2) (- (/ x y) 1)) |
(fma.f64 y (-.f64 x y) #s(literal 0 binary64)) |
(* -1 (pow y 2)) |
(fma.f64 y (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64)) |
(+ (* -1 (pow y 2)) (* x y)) |
(fma.f64 y (-.f64 x y) #s(literal 0 binary64)) |
(+ (* -1 (pow y 2)) (* x y)) |
(fma.f64 y (-.f64 x y) #s(literal 0 binary64)) |
(+ (* -1 (pow y 2)) (* x y)) |
(fma.f64 y (-.f64 x y) #s(literal 0 binary64)) |
(* x y) |
(fma.f64 y x #s(literal 0 binary64)) |
(* x (+ y (* -1 (/ (pow y 2) x)))) |
(fma.f64 y (-.f64 x y) #s(literal 0 binary64)) |
(* x (+ y (* -1 (/ (pow y 2) x)))) |
(fma.f64 y (-.f64 x y) #s(literal 0 binary64)) |
(* x (+ y (* -1 (/ (pow y 2) x)))) |
(fma.f64 y (-.f64 x y) #s(literal 0 binary64)) |
(* x y) |
(fma.f64 y x #s(literal 0 binary64)) |
(* -1 (* x (+ (* -1 y) (/ (pow y 2) x)))) |
(fma.f64 y (-.f64 x y) #s(literal 0 binary64)) |
(* -1 (* x (+ (* -1 y) (/ (pow y 2) x)))) |
(fma.f64 y (-.f64 x y) #s(literal 0 binary64)) |
(* -1 (* x (+ (* -1 y) (/ (pow y 2) x)))) |
(fma.f64 y (-.f64 x y) #s(literal 0 binary64)) |
(* -1 (pow y 2)) |
(fma.f64 y (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64)) |
(* -1 (pow y 2)) |
(fma.f64 y (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64)) |
(* -1 (pow y 2)) |
(fma.f64 y (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64)) |
(* -1 (pow y 2)) |
(fma.f64 y (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64)) |
(* -1 (pow y 2)) |
(fma.f64 y (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64)) |
(* -1 (pow y 2)) |
(fma.f64 y (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64)) |
(* -1 (pow y 2)) |
(fma.f64 y (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64)) |
(* -1 (pow y 2)) |
(fma.f64 y (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64)) |
(* -1 (pow y 2)) |
(fma.f64 y (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64)) |
(* -1 (pow y 2)) |
(fma.f64 y (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64)) |
(* -1 (pow y 2)) |
(fma.f64 y (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64)) |
(* -1 (pow y 2)) |
(fma.f64 y (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64)) |
(pow y 2) |
(fma.f64 y y #s(literal 0 binary64)) |
(pow y 2) |
(fma.f64 y y #s(literal 0 binary64)) |
(pow y 2) |
(fma.f64 y y #s(literal 0 binary64)) |
(pow y 2) |
(fma.f64 y y #s(literal 0 binary64)) |
(pow y 2) |
(fma.f64 y y #s(literal 0 binary64)) |
(pow y 2) |
(fma.f64 y y #s(literal 0 binary64)) |
(pow y 2) |
(fma.f64 y y #s(literal 0 binary64)) |
(pow y 2) |
(fma.f64 y y #s(literal 0 binary64)) |
(pow y 2) |
(fma.f64 y y #s(literal 0 binary64)) |
(pow y 2) |
(fma.f64 y y #s(literal 0 binary64)) |
(pow y 2) |
(fma.f64 y y #s(literal 0 binary64)) |
(pow y 2) |
(fma.f64 y y #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(+ (* -1 (pow y 2)) (pow x 2)) |
(fma.f64 (-.f64 x y) (+.f64 y x) #s(literal 0 binary64)) |
(+ (* -1 (pow y 2)) (pow x 2)) |
(fma.f64 (-.f64 x y) (+.f64 y x) #s(literal 0 binary64)) |
(+ (* -1 (pow y 2)) (pow x 2)) |
(fma.f64 (-.f64 x y) (+.f64 y x) #s(literal 0 binary64)) |
(* -1 (pow y 2)) |
(fma.f64 y (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64)) |
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1)) |
(fma.f64 (-.f64 x y) (+.f64 y x) #s(literal 0 binary64)) |
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1)) |
(fma.f64 (-.f64 x y) (+.f64 y x) #s(literal 0 binary64)) |
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1)) |
(fma.f64 (-.f64 x y) (+.f64 y x) #s(literal 0 binary64)) |
(* -1 (pow y 2)) |
(fma.f64 y (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64)) |
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1)) |
(fma.f64 (-.f64 x y) (+.f64 y x) #s(literal 0 binary64)) |
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1)) |
(fma.f64 (-.f64 x y) (+.f64 y x) #s(literal 0 binary64)) |
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1)) |
(fma.f64 (-.f64 x y) (+.f64 y x) #s(literal 0 binary64)) |
(* -1 (pow y 2)) |
(fma.f64 y (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64)) |
(+ (* -1 (pow y 2)) (pow x 2)) |
(fma.f64 (-.f64 x y) (+.f64 y x) #s(literal 0 binary64)) |
(+ (* -1 (pow y 2)) (pow x 2)) |
(fma.f64 (-.f64 x y) (+.f64 y x) #s(literal 0 binary64)) |
(+ (* -1 (pow y 2)) (pow x 2)) |
(fma.f64 (-.f64 x y) (+.f64 y x) #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) |
(fma.f64 (-.f64 x y) (+.f64 y x) #s(literal 0 binary64)) |
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) |
(fma.f64 (-.f64 x y) (+.f64 y x) #s(literal 0 binary64)) |
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) |
(fma.f64 (-.f64 x y) (+.f64 y x) #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) |
(fma.f64 (-.f64 x y) (+.f64 y x) #s(literal 0 binary64)) |
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) |
(fma.f64 (-.f64 x y) (+.f64 y x) #s(literal 0 binary64)) |
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) |
(fma.f64 (-.f64 x y) (+.f64 y x) #s(literal 0 binary64)) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
Compiled 35 762 to 2 085 computations (94.2% saved)
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 413 | 3 | 1 416 |
| Fresh | 0 | 0 | 0 |
| Picked | 4 | 0 | 4 |
| Done | 0 | 1 | 1 |
| Total | 1 417 | 4 | 1 421 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 97.3% | (fma.f64 (neg.f64 y) y (*.f64 x x)) |
| ▶ | 48.6% | (-.f64 #s(literal 0 binary64) (*.f64 y y)) |
| ✓ | 100.0% | (*.f64 (+.f64 x y) (-.f64 x y)) |
| ▶ | 56.5% | (*.f64 x x) |
Compiled 30 to 18 computations (40% saved)
| 1× | egg-herbie |
Found 6 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | -64 | (*.f64 x x) |
| ✓ | cost-diff | -64 | (neg.f64 y) |
| ✓ | cost-diff | 192 | (fma.f64 (neg.f64 y) y (*.f64 x x)) |
| ✓ | cost-diff | -64 | (*.f64 y y) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 0 binary64) (*.f64 y y)) |
| ✓ | cost-diff | -64 | (*.f64 x x) |
| 16 176× | accelerator-lowering-fma.f32 |
| 16 176× | accelerator-lowering-fma.f64 |
| 2 952× | --lowering--.f32 |
| 2 952× | --lowering--.f64 |
| 2 460× | +-lowering-+.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 28 |
| 1 | 17 | 27 |
| 2 | 30 | 27 |
| 3 | 56 | 27 |
| 4 | 88 | 27 |
| 5 | 177 | 27 |
| 6 | 575 | 27 |
| 7 | 1014 | 27 |
| 8 | 1773 | 27 |
| 9 | 2691 | 27 |
| 10 | 3494 | 27 |
| 11 | 3960 | 27 |
| 12 | 4065 | 27 |
| 13 | 4111 | 27 |
| 14 | 4129 | 27 |
| 15 | 6391 | 27 |
| 16 | 7096 | 27 |
| 17 | 7740 | 27 |
| 0 | 8011 | 27 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x x) |
x |
(- 0 (* y y)) |
0 |
(* y y) |
y |
(+ (* (neg y) y) (* x x)) |
(neg y) |
y |
(* x x) |
x |
| Outputs |
|---|
(* x x) |
(fma.f64 x x #s(literal 0 binary64)) |
x |
(- 0 (* y y)) |
(fma.f64 y (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64)) |
0 |
#s(literal 0 binary64) |
(* y y) |
(fma.f64 y y #s(literal 0 binary64)) |
y |
(+ (* (neg y) y) (* x x)) |
(fma.f64 (-.f64 x y) (+.f64 x y) #s(literal 0 binary64)) |
(neg y) |
(-.f64 #s(literal 0 binary64) y) |
y |
(* x x) |
(fma.f64 x x #s(literal 0 binary64)) |
x |
Found 6 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (neg.f64 y) |
| ✓ | accuracy | 97.3% | (fma.f64 (neg.f64 y) y (*.f64 x x)) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 0 binary64) (*.f64 y y)) |
| ✓ | accuracy | 100.0% | (*.f64 y y) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| 16.0ms | 256× | 0 | valid |
Compiled 30 to 11 computations (63.3% saved)
ival-mult: 5.0ms (59.2% of total)ival-sub: 1.0ms (11.8% of total)ival-add: 1.0ms (11.8% of total)ival-neg: 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)| Inputs |
|---|
#<alt (* x x)> |
#<alt (- 0 (* y y))> |
#<alt (* y y)> |
#<alt (+ (* (neg y) y) (* x x))> |
#<alt (neg y)> |
| Outputs |
|---|
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (* -1 (pow y 2))> |
#<alt (* -1 (pow y 2))> |
#<alt (* -1 (pow y 2))> |
#<alt (* -1 (pow y 2))> |
#<alt (* -1 (pow y 2))> |
#<alt (* -1 (pow y 2))> |
#<alt (* -1 (pow y 2))> |
#<alt (* -1 (pow y 2))> |
#<alt (* -1 (pow y 2))> |
#<alt (* -1 (pow y 2))> |
#<alt (* -1 (pow y 2))> |
#<alt (* -1 (pow y 2))> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow x 2)> |
#<alt (+ (* -1 (pow y 2)) (pow x 2))> |
#<alt (+ (* -1 (pow y 2)) (pow x 2))> |
#<alt (+ (* -1 (pow y 2)) (pow x 2))> |
#<alt (* -1 (pow y 2))> |
#<alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))> |
#<alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))> |
#<alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))> |
#<alt (* -1 (pow y 2))> |
#<alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))> |
#<alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))> |
#<alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))> |
#<alt (* -1 (pow y 2))> |
#<alt (+ (* -1 (pow y 2)) (pow x 2))> |
#<alt (+ (* -1 (pow y 2)) (pow x 2))> |
#<alt (+ (* -1 (pow y 2)) (pow x 2))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | inf | (+ (* (neg y) y) (* x x)) |
| 0.0ms | y | @ | -inf | (+ (* (neg y) y) (* x x)) |
| 0.0ms | x | @ | 0 | (* x x) |
| 0.0ms | y | @ | 0 | (- 0 (* y y)) |
| 0.0ms | y | @ | inf | (- 0 (* y y)) |
| 1× | batch-egg-rewrite |
| 2 428× | accelerator-lowering-fma.f32 |
| 2 428× | accelerator-lowering-fma.f64 |
| 1 842× | *-lowering-*.f32 |
| 1 842× | *-lowering-*.f64 |
| 1 366× | frac-times |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 21 |
| 1 | 45 | 20 |
| 2 | 414 | 17 |
| 3 | 6645 | 17 |
| 0 | 8199 | 16 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x x) |
(- 0 (* y y)) |
(* y y) |
(+ (* (neg y) y) (* x x)) |
(neg y) |
| Outputs |
|---|
(+.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 x))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(fma.f64 x x #s(literal 0 binary64)) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) #s(literal 0 binary64)) |
(/.f64 (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 x (*.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 (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) #s(literal 0 binary64)) (-.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(*.f64 x x) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(+.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) |
(+.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) |
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 y) #s(literal 0 binary64))) |
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 y) #s(literal 0 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (log.f64 y) #s(literal 0 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 y))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) |
(-.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) |
(fma.f64 y y #s(literal 0 binary64)) |
(fma.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 0 binary64))) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 0 binary64))) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(neg.f64 (fma.f64 y y #s(literal 0 binary64))) |
(/.f64 (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64))) |
(/.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 0 binary64)))) |
(/.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) y) |
(/.f64 (*.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(/.f64 (fma.f64 (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(/.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 0 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 0 binary64))) #s(literal 1 binary64))) |
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 0 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) |
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(*.f64 (+.f64 x y) (-.f64 x y)) |
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(*.f64 (/.f64 (*.f64 (fma.f64 x x (fma.f64 y y #s(literal 0 binary64))) (fma.f64 (+.f64 y x) (-.f64 y x) #s(literal 0 binary64))) (*.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (-.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))))) (fma.f64 x (*.f64 x (fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(*.f64 (/.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64)))))) (fma.f64 (*.f64 x (*.f64 x (fma.f64 x x (fma.f64 y y #s(literal 0 binary64))))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x (fma.f64 y y #s(literal 0 binary64))) (*.f64 x (*.f64 x (fma.f64 x x (fma.f64 y y #s(literal 0 binary64))))))) (fma.f64 (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 (*.f64 x (*.f64 x (fma.f64 x x (fma.f64 y y #s(literal 0 binary64))))) (fma.f64 x (*.f64 x (fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(*.f64 (/.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64)))))) (*.f64 (fma.f64 x (*.f64 x (fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (-.f64 (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x (*.f64 x (fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))))))) (-.f64 (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x (*.f64 x (fma.f64 x x (fma.f64 y y #s(literal 0 binary64))))))) |
y |
(+.f64 #s(literal 0 binary64) y) |
(+.f64 y #s(literal 0 binary64)) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) y) |
(-.f64 (/.f64 #s(literal 0 binary64) y) y) |
(fma.f64 y #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 y #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 y (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) y #s(literal 0 binary64)) |
(fma.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 0 binary64))) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(neg.f64 y) |
(/.f64 (fma.f64 y y #s(literal 0 binary64)) y) |
(/.f64 (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) |
(/.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(/.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) |
(pow.f64 y #s(literal 1 binary64)) |
(pow.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 y #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 y #s(literal -1 binary64)) |
(*.f64 y #s(literal 1 binary64)) |
(*.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(*.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 y (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(*.f64 #s(literal -1 binary64) y) |
(*.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 0 binary64)))) |
(*.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64))) |
| 1× | egg-herbie |
| 9 736× | accelerator-lowering-fma.f32 |
| 9 736× | accelerator-lowering-fma.f64 |
| 3 598× | *-lowering-*.f32 |
| 3 598× | *-lowering-*.f64 |
| 1 100× | neg-lowering-neg.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 309 |
| 1 | 40 | 291 |
| 2 | 107 | 291 |
| 3 | 437 | 291 |
| 4 | 1643 | 291 |
| 5 | 2768 | 291 |
| 6 | 4760 | 291 |
| 0 | 8211 | 291 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow x 2) |
(+ (* -1 (pow y 2)) (pow x 2)) |
(+ (* -1 (pow y 2)) (pow x 2)) |
(+ (* -1 (pow y 2)) (pow x 2)) |
(* -1 (pow y 2)) |
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1)) |
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1)) |
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1)) |
(* -1 (pow y 2)) |
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1)) |
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1)) |
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1)) |
(* -1 (pow y 2)) |
(+ (* -1 (pow y 2)) (pow x 2)) |
(+ (* -1 (pow y 2)) (pow x 2)) |
(+ (* -1 (pow y 2)) (pow x 2)) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
| Outputs |
|---|
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(* -1 (pow y 2)) |
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) |
(* -1 (pow y 2)) |
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) |
(* -1 (pow y 2)) |
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) |
(* -1 (pow y 2)) |
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) |
(* -1 (pow y 2)) |
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) |
(* -1 (pow y 2)) |
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) |
(* -1 (pow y 2)) |
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) |
(* -1 (pow y 2)) |
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) |
(* -1 (pow y 2)) |
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) |
(* -1 (pow y 2)) |
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) |
(* -1 (pow y 2)) |
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) |
(* -1 (pow y 2)) |
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) |
(pow y 2) |
(fma.f64 y y #s(literal 0 binary64)) |
(pow y 2) |
(fma.f64 y y #s(literal 0 binary64)) |
(pow y 2) |
(fma.f64 y y #s(literal 0 binary64)) |
(pow y 2) |
(fma.f64 y y #s(literal 0 binary64)) |
(pow y 2) |
(fma.f64 y y #s(literal 0 binary64)) |
(pow y 2) |
(fma.f64 y y #s(literal 0 binary64)) |
(pow y 2) |
(fma.f64 y y #s(literal 0 binary64)) |
(pow y 2) |
(fma.f64 y y #s(literal 0 binary64)) |
(pow y 2) |
(fma.f64 y y #s(literal 0 binary64)) |
(pow y 2) |
(fma.f64 y y #s(literal 0 binary64)) |
(pow y 2) |
(fma.f64 y y #s(literal 0 binary64)) |
(pow y 2) |
(fma.f64 y y #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(+ (* -1 (pow y 2)) (pow x 2)) |
(fma.f64 (+.f64 x y) (-.f64 x y) #s(literal 0 binary64)) |
(+ (* -1 (pow y 2)) (pow x 2)) |
(fma.f64 (+.f64 x y) (-.f64 x y) #s(literal 0 binary64)) |
(+ (* -1 (pow y 2)) (pow x 2)) |
(fma.f64 (+.f64 x y) (-.f64 x y) #s(literal 0 binary64)) |
(* -1 (pow y 2)) |
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) |
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1)) |
(fma.f64 (+.f64 x y) (-.f64 x y) #s(literal 0 binary64)) |
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1)) |
(fma.f64 (+.f64 x y) (-.f64 x y) #s(literal 0 binary64)) |
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1)) |
(fma.f64 (+.f64 x y) (-.f64 x y) #s(literal 0 binary64)) |
(* -1 (pow y 2)) |
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) |
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1)) |
(fma.f64 (+.f64 x y) (-.f64 x y) #s(literal 0 binary64)) |
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1)) |
(fma.f64 (+.f64 x y) (-.f64 x y) #s(literal 0 binary64)) |
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1)) |
(fma.f64 (+.f64 x y) (-.f64 x y) #s(literal 0 binary64)) |
(* -1 (pow y 2)) |
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) |
(+ (* -1 (pow y 2)) (pow x 2)) |
(fma.f64 (+.f64 x y) (-.f64 x y) #s(literal 0 binary64)) |
(+ (* -1 (pow y 2)) (pow x 2)) |
(fma.f64 (+.f64 x y) (-.f64 x y) #s(literal 0 binary64)) |
(+ (* -1 (pow y 2)) (pow x 2)) |
(fma.f64 (+.f64 x y) (-.f64 x y) #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) |
(fma.f64 (+.f64 x y) (-.f64 x y) #s(literal 0 binary64)) |
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) |
(fma.f64 (+.f64 x y) (-.f64 x y) #s(literal 0 binary64)) |
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) |
(fma.f64 (+.f64 x y) (-.f64 x y) #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) |
(fma.f64 (+.f64 x y) (-.f64 x y) #s(literal 0 binary64)) |
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) |
(fma.f64 (+.f64 x y) (-.f64 x y) #s(literal 0 binary64)) |
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) |
(fma.f64 (+.f64 x y) (-.f64 x y) #s(literal 0 binary64)) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
Compiled 9 186 to 496 computations (94.6% saved)
4 alts after pruning (0 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 389 | 0 | 389 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 1 | 1 |
| Total | 389 | 4 | 393 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 97.3% | (fma.f64 (neg.f64 y) y (*.f64 x x)) |
| ✓ | 48.6% | (-.f64 #s(literal 0 binary64) (*.f64 y y)) |
| ✓ | 100.0% | (*.f64 (+.f64 x y) (-.f64 x y)) |
| ✓ | 56.5% | (*.f64 x x) |
Compiled 77 to 35 computations (54.5% saved)
| Inputs |
|---|
(*.f64 x x) |
(fma.f64 x x #s(literal 0 binary64)) |
(*.f64 y (-.f64 x y)) |
(-.f64 #s(literal 0 binary64) (*.f64 y y)) |
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) |
(*.f64 (+.f64 x y) (-.f64 x y)) |
(fma.f64 (neg.f64 y) y (*.f64 x x)) |
(fma.f64 (-.f64 #s(literal 0 binary64) y) y (*.f64 x x)) |
| Outputs |
|---|
(*.f64 (+.f64 x y) (-.f64 x y)) |
3 calls:
| 24.0ms | (*.f64 (+.f64 x y) (-.f64 x y)) |
| 3.0ms | y |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | (*.f64 (+.f64 x y) (-.f64 x y)) |
Compiled 15 to 9 computations (40% saved)
| Inputs |
|---|
(*.f64 x x) |
(fma.f64 x x #s(literal 0 binary64)) |
(*.f64 y (-.f64 x y)) |
(-.f64 #s(literal 0 binary64) (*.f64 y y)) |
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) |
| Outputs |
|---|
(-.f64 #s(literal 0 binary64) (*.f64 y y)) |
(*.f64 x x) |
3 calls:
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | (*.f64 (+.f64 x y) (-.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.0% | 2 | x |
| 87.0% | 2 | y |
| 99.3% | 2 | (*.f64 (+.f64 x y) (-.f64 x y)) |
Compiled 15 to 9 computations (40% saved)
| Inputs |
|---|
(*.f64 x x) |
(fma.f64 x x #s(literal 0 binary64)) |
(*.f64 y (-.f64 x y)) |
| Outputs |
|---|
(*.f64 y (-.f64 x y)) |
(*.f64 x x) |
1 calls:
| 2.0ms | (*.f64 (+.f64 x y) (-.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 2 | (*.f64 (+.f64 x y) (-.f64 x y)) |
Compiled 9 to 5 computations (44.4% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(*.f64 x x) |
(fma.f64 x x #s(literal 0 binary64)) |
| Outputs |
|---|
(*.f64 x x) |
3 calls:
| 35.0ms | y |
| 1.0ms | x |
| 1.0ms | (*.f64 (+.f64 x y) (-.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.5% | 1 | x |
| 56.5% | 1 | y |
| 56.5% | 1 | (*.f64 (+.f64 x y) (-.f64 x y)) |
Compiled 15 to 9 computations (40% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -6.111887689297518e-300 | -0.0 |
Compiled 12 to 10 computations (16.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -6.111887689297518e-300 | -0.0 |
Compiled 12 to 10 computations (16.7% saved)
| 1× | egg-herbie |
| 8× | *-commutative_binary64 |
| 8× | +-commutative_binary64 |
| 6× | sub-neg_binary64 |
| 4× | neg-mul-1_binary64 |
| 2× | sub0-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 45 |
| 1 | 24 | 45 |
| 2 | 31 | 45 |
| 3 | 34 | 45 |
| 4 | 35 | 45 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (+.f64 x y) (-.f64 x y)) |
(if (<=.f64 (*.f64 (+.f64 x y) (-.f64 x y)) #s(literal -7540071506325551/1508014301265110212210531135789433919262563062937126445449153766240405586123431823342743394534566435927056356253600209291203385124994765794776479899441737755548338772926974008712671009764769795099197087276523896072521861519103442867235119310387667688286379400732806098106007386857498456032472308789536403591243235328 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 x x)) |
(if (<=.f64 (*.f64 (+.f64 x y) (-.f64 x y)) #s(literal -7540071506325551/1508014301265110212210531135789433919262563062937126445449153766240405586123431823342743394534566435927056356253600209291203385124994765794776479899441737755548338772926974008712671009764769795099197087276523896072521861519103442867235119310387667688286379400732806098106007386857498456032472308789536403591243235328 binary64)) (*.f64 y (-.f64 x y)) (*.f64 x x)) |
(*.f64 x x) |
| Outputs |
|---|
(*.f64 (+.f64 x y) (-.f64 x y)) |
(if (<=.f64 (*.f64 (+.f64 x y) (-.f64 x y)) #s(literal -7540071506325551/1508014301265110212210531135789433919262563062937126445449153766240405586123431823342743394534566435927056356253600209291203385124994765794776479899441737755548338772926974008712671009764769795099197087276523896072521861519103442867235119310387667688286379400732806098106007386857498456032472308789536403591243235328 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 x x)) |
(if (<=.f64 (*.f64 (+.f64 x y) (-.f64 x y)) #s(literal -7540071506325551/1508014301265110212210531135789433919262563062937126445449153766240405586123431823342743394534566435927056356253600209291203385124994765794776479899441737755548338772926974008712671009764769795099197087276523896072521861519103442867235119310387667688286379400732806098106007386857498456032472308789536403591243235328 binary64)) (*.f64 y (-.f64 x y)) (*.f64 x x)) |
(*.f64 x x) |
| 14 152× | accelerator-lowering-fma.f32 |
| 14 152× | accelerator-lowering-fma.f64 |
| 8 264× | accelerator-lowering-fma.f32 |
| 8 264× | accelerator-lowering-fma.f64 |
| 2 614× | --lowering--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 86 | 309 |
| 1 | 265 | 249 |
| 2 | 789 | 249 |
| 3 | 3286 | 249 |
| 0 | 8553 | 249 |
| 0 | 13 | 32 |
| 1 | 94 | 31 |
| 2 | 937 | 28 |
| 0 | 10592 | 27 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 103 to 49 computations (52.4% saved)
(abs y)
(abs x)
Compiled 186 to 78 computations (58.1% saved)
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