
Time bar (total: 5.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 9 to 8 computations (11.1% saved)
| 364.0ms | 8 255× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
ival-mult: 149.0ms (71.7% of total)ival-sub: 46.0ms (22.1% of total)exact: 5.0ms (2.4% of total)ival-true: 5.0ms (2.4% of total)ival-assert: 3.0ms (1.4% of total)adjust: 0.0ms (0% of total)| 2× | egg-herbie |
| 336× | accelerator-lowering-fma.f32 |
| 336× | accelerator-lowering-fma.f64 |
| 216× | *-lowering-*.f32 |
| 216× | *-lowering-*.f64 |
| 200× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 44 |
| 1 | 48 | 42 |
| 2 | 131 | 42 |
| 3 | 385 | 42 |
| 4 | 683 | 42 |
| 5 | 863 | 42 |
| 6 | 902 | 42 |
| 7 | 904 | 42 |
| 0 | 6 | 7 |
| 1 | 9 | 7 |
| 2 | 20 | 7 |
| 3 | 42 | 7 |
| 4 | 67 | 7 |
| 5 | 95 | 7 |
| 6 | 165 | 7 |
| 7 | 264 | 7 |
| 8 | 410 | 7 |
| 9 | 465 | 7 |
| 10 | 499 | 7 |
| 0 | 499 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(* 1/2 (- (* x x) y)) |
| Outputs |
|---|
(* 1/2 (- (* x x) y)) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 x x #s(literal 0 binary64)) y) #s(literal 0 binary64)) |
| Inputs |
|---|
(* 1/2 (- (* x x) y)) |
(* 1/2 (- (* (neg x) (neg x)) y)) |
(* 1/2 (- (* x x) (neg y))) |
(neg (* 1/2 (- (* (neg x) (neg x)) y))) |
(neg (* 1/2 (- (* x x) (neg y)))) |
(* 1/2 (- (* y y) x)) |
| Outputs |
|---|
(* 1/2 (- (* x x) y)) |
(* 1/2 (- (* (neg x) (neg x)) y)) |
(* 1/2 (- (* x x) y)) |
(* 1/2 (- (* x x) (neg y))) |
(* 1/2 (+ (* x x) y)) |
(neg (* 1/2 (- (* (neg x) (neg x)) y))) |
(* 1/2 (- y (* x x))) |
(neg (* 1/2 (- (* x x) (neg y)))) |
(* (+ (* x x) y) -1/2) |
(* 1/2 (- (* y y) x)) |
(abs x)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (-.f64 (*.f64 x x) y) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x x) y)) |
| 0 | 0 | - | 0 | - | #s(literal 1/2 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 x x) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 27.0ms | 512× | 0 | valid |
Compiled 58 to 28 computations (51.7% saved)
ival-mult: 7.0ms (71.6% of total)ival-sub: 2.0ms (20.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x x) y)) |
Compiled 9 to 6 computations (33.3% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | -64 | (*.f64 x x) |
| ✓ | cost-diff | -64 | (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x x) y)) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 x x) y) |
| 336× | accelerator-lowering-fma.f32 |
| 336× | accelerator-lowering-fma.f64 |
| 216× | *-lowering-*.f32 |
| 216× | *-lowering-*.f64 |
| 80× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 18 |
| 1 | 9 | 18 |
| 2 | 20 | 18 |
| 3 | 42 | 18 |
| 4 | 67 | 18 |
| 5 | 95 | 18 |
| 6 | 165 | 18 |
| 7 | 264 | 18 |
| 8 | 410 | 18 |
| 9 | 465 | 18 |
| 10 | 499 | 18 |
| 0 | 499 | 18 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* 1/2 (- (* x x) y)) |
1/2 |
(- (* x x) y) |
(* x x) |
x |
y |
| Outputs |
|---|
(* 1/2 (- (* x x) y)) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 x x #s(literal 0 binary64)) y) #s(literal 0 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(- (* x x) y) |
(-.f64 (fma.f64 x x #s(literal 0 binary64)) y) |
(* x x) |
(fma.f64 x x #s(literal 0 binary64)) |
x |
y |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (-.f64 (*.f64 x x) y) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x x) y)) |
| 11.0ms | 256× | 0 | valid |
Compiled 20 to 8 computations (60% saved)
ival-mult: 3.0ms (61.2% of total)ival-sub: 1.0ms (20.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (- (* x x) y)> |
#<alt (* 1/2 (- (* x x) y))> |
#<alt (* x x)> |
| Outputs |
|---|
#<alt (* -1 y)> |
#<alt (- (pow x 2) y)> |
#<alt (- (pow x 2) y)> |
#<alt (- (pow x 2) y)> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ y (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ y (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ y (pow x 2)))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ y (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ y (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ y (pow x 2)))))> |
#<alt (pow x 2)> |
#<alt (+ (* -1 y) (pow x 2))> |
#<alt (+ (* -1 y) (pow x 2))> |
#<alt (+ (* -1 y) (pow x 2))> |
#<alt (* -1 y)> |
#<alt (* y (- (/ (pow x 2) y) 1))> |
#<alt (* y (- (/ (pow x 2) y) 1))> |
#<alt (* y (- (/ (pow x 2) y) 1))> |
#<alt (* -1 y)> |
#<alt (* -1 (* y (+ 1 (* -1 (/ (pow x 2) y)))))> |
#<alt (* -1 (* y (+ 1 (* -1 (/ (pow x 2) y)))))> |
#<alt (* -1 (* y (+ 1 (* -1 (/ (pow x 2) y)))))> |
#<alt (* -1/2 y)> |
#<alt (+ (* -1/2 y) (* 1/2 (pow x 2)))> |
#<alt (+ (* -1/2 y) (* 1/2 (pow x 2)))> |
#<alt (+ (* -1/2 y) (* 1/2 (pow x 2)))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2 (* -1/2 (/ y (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/2 (* -1/2 (/ y (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/2 (* -1/2 (/ y (pow x 2)))))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2 (* -1/2 (/ y (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/2 (* -1/2 (/ y (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/2 (* -1/2 (/ y (pow x 2)))))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (+ (* -1/2 y) (* 1/2 (pow x 2)))> |
#<alt (+ (* -1/2 y) (* 1/2 (pow x 2)))> |
#<alt (+ (* -1/2 y) (* 1/2 (pow x 2)))> |
#<alt (* -1/2 y)> |
#<alt (* y (- (* 1/2 (/ (pow x 2) y)) 1/2))> |
#<alt (* y (- (* 1/2 (/ (pow x 2) y)) 1/2))> |
#<alt (* y (- (* 1/2 (/ (pow x 2) y)) 1/2))> |
#<alt (* -1/2 y)> |
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ (pow x 2) y)))))> |
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ (pow x 2) y)))))> |
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ (pow x 2) 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)> |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | inf | (* 1/2 (- (* x x) y)) |
| 0.0ms | x | @ | inf | (- (* x x) y) |
| 0.0ms | y | @ | 0 | (- (* x x) y) |
| 0.0ms | x | @ | 0 | (* 1/2 (- (* x x) y)) |
| 0.0ms | x | @ | 0 | (- (* x x) y) |
| 1× | batch-egg-rewrite |
| 6 946× | accelerator-lowering-fma.f32 |
| 6 946× | accelerator-lowering-fma.f64 |
| 4 110× | /-lowering-/.f32 |
| 4 110× | /-lowering-/.f64 |
| 3 550× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 15 |
| 1 | 24 | 15 |
| 2 | 175 | 15 |
| 3 | 1638 | 15 |
| 0 | 8540 | 15 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (* x x) y) |
(* 1/2 (- (* x x) y)) |
(* x x) |
| Outputs |
|---|
(+.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) y)) |
(+.f64 (-.f64 #s(literal 0 binary64) y) (fma.f64 x x #s(literal 0 binary64))) |
(+.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 y (fma.f64 x x y)))) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 y (fma.f64 x x y)))))) |
(+.f64 (/.f64 (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x x y)) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y y) (fma.f64 x x y)))) |
(+.f64 #s(literal 0 binary64) (-.f64 (fma.f64 x x #s(literal 0 binary64)) y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 0 binary64)) y))) #s(literal -1 binary64))) |
(-.f64 (fma.f64 x x #s(literal 0 binary64)) y) |
(-.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 y (fma.f64 x x y)))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 y (fma.f64 x x y))))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x x y)) (/.f64 (*.f64 y y) (fma.f64 x x y))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (fma.f64 x x #s(literal 0 binary64)) y))) |
(-.f64 #s(literal 0 binary64) (-.f64 y (fma.f64 x x #s(literal 0 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x x y))) (-.f64 #s(literal 0 binary64) (-.f64 (fma.f64 x x #s(literal 0 binary64)) y))) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal 0 binary64) (fma.f64 x x y))) (/.f64 (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 x x y)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 y (fma.f64 x x y))))) (-.f64 #s(literal 0 binary64) (-.f64 (fma.f64 x x #s(literal 0 binary64)) y))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (*.f64 (*.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 x #s(literal 0 binary64)) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (*.f64 y (*.f64 y y)))))) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 y (fma.f64 x x y)))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (*.f64 y (*.f64 y y)))))) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 y (fma.f64 x x y))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.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 x #s(literal 0 binary64)) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64)))))) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (*.f64 y (*.f64 y y)))) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 y (fma.f64 x x y)))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (*.f64 y (*.f64 y y)))) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 y (fma.f64 x x y))))) |
(-.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (fma.f64 y y (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) y)))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y y (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) y))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (*.f64 (*.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 x #s(literal 0 binary64)) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (*.f64 y (*.f64 y y)))))) (fma.f64 y y (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) y)))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (*.f64 y (*.f64 y y)))))) (fma.f64 y y (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) y))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.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 x #s(literal 0 binary64)) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64)))))) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (*.f64 y (*.f64 y y)))) (fma.f64 y y (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) y)))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (*.f64 y (*.f64 y y)))) (fma.f64 y y (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) y))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.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 x #s(literal 0 binary64)) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64)))))) (fma.f64 (*.f64 y y) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 y y)) (*.f64 (fma.f64 x x #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 x x y)) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 y y) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 y y)) (*.f64 (fma.f64 x x #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 x x y))) |
(-.f64 (/.f64 (/.f64 (*.f64 (fma.f64 x x #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 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 y y))) (fma.f64 x x y)) (/.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 y y))) (fma.f64 x x y))) |
(-.f64 (/.f64 (*.f64 (*.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 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 #s(literal 0 binary64))) (*.f64 y (fma.f64 x x y))) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (*.f64 y (*.f64 y y))))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 y (fma.f64 x x y))) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (*.f64 y (*.f64 y y)))))) |
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(/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 0 binary64)) y)))) |
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(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (fma.f64 x x #s(literal 0 binary64)) y) #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
(*.f64 (-.f64 (fma.f64 x x #s(literal 0 binary64)) y) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 x x #s(literal 0 binary64)) y)) |
(*.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (*.f64 y (*.f64 y y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 y (fma.f64 x x y)))) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 y (fma.f64 x x y))))) |
(*.f64 (*.f64 (-.f64 (fma.f64 x x #s(literal 0 binary64)) y) (fma.f64 x x y)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x y)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (-.f64 (fma.f64 x x #s(literal 0 binary64)) y) (fma.f64 x x y)) (/.f64 #s(literal 1/2 binary64) (fma.f64 x x y))) |
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 (fma.f64 x x #s(literal 0 binary64)) y) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 y (fma.f64 x x y))))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x x y)) (-.f64 (fma.f64 x x #s(literal 0 binary64)) y)) (/.f64 #s(literal 1 binary64) (fma.f64 x x y))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 y (fma.f64 x x y))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x x y)) (-.f64 (fma.f64 x x #s(literal 0 binary64)) y))) (/.f64 #s(literal -1 binary64) (fma.f64 x x y))) |
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(*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) #s(literal 1/4 binary64)) (*.f64 (*.f64 y y) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) y)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 y (fma.f64 x x y))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 (fma.f64 x x #s(literal 0 binary64)) y) (fma.f64 x x y)))) (/.f64 #s(literal -1 binary64) (fma.f64 x x y))) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (*.f64 y (*.f64 y y)))) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 y (fma.f64 x x y))))) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 (fma.f64 x x #s(literal 0 binary64)) y) (fma.f64 x x y))) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x x y))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (*.f64 y (*.f64 y y)))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (fma.f64 x x y) (*.f64 (fma.f64 x x y) (fma.f64 x x y))) (*.f64 (*.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 x #s(literal 0 binary64)) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64)))))))) (fma.f64 (*.f64 y (fma.f64 x x y)) (-.f64 (*.f64 y (fma.f64 x x y)) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (*.f64 (fma.f64 x x #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 (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (*.f64 y (*.f64 y y)))) (*.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 y (fma.f64 x x y))) (-.f64 (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (*.f64 y (fma.f64 x x y))))) (-.f64 (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (*.f64 y (fma.f64 x x y)))) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x x y)) (-.f64 (fma.f64 x x #s(literal 0 binary64)) y)) (*.f64 (-.f64 (fma.f64 x x #s(literal 0 binary64)) y) (fma.f64 x x y))) (-.f64 (fma.f64 x x #s(literal 0 binary64)) y)) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x x y)) (-.f64 (fma.f64 x x #s(literal 0 binary64)) y)) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (*.f64 y (*.f64 y y)))) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 y (-.f64 y (fma.f64 x x #s(literal 0 binary64)))))) |
(+.f64 (fma.f64 x x #s(literal 0 binary64)) #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))) |
(-.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(fma.f64 x 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 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (*.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)) (fma.f64 x x #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 #s(literal 2 binary64)) (log.f64 x)) |
(*.f64 x x) |
| 1× | egg-herbie |
| 5 028× | accelerator-lowering-fma.f32 |
| 5 028× | accelerator-lowering-fma.f64 |
| 3 454× | *-lowering-*.f32 |
| 3 454× | *-lowering-*.f64 |
| 1 378× | div-sub |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 327 |
| 1 | 102 | 327 |
| 2 | 297 | 327 |
| 3 | 999 | 291 |
| 4 | 2509 | 291 |
| 5 | 5004 | 291 |
| 6 | 7180 | 291 |
| 0 | 8138 | 291 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 y) |
(- (pow x 2) y) |
(- (pow x 2) y) |
(- (pow x 2) y) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1 (/ y (pow x 2))))) |
(* (pow x 2) (+ 1 (* -1 (/ y (pow x 2))))) |
(* (pow x 2) (+ 1 (* -1 (/ y (pow x 2))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1 (/ y (pow x 2))))) |
(* (pow x 2) (+ 1 (* -1 (/ y (pow x 2))))) |
(* (pow x 2) (+ 1 (* -1 (/ y (pow x 2))))) |
(pow x 2) |
(+ (* -1 y) (pow x 2)) |
(+ (* -1 y) (pow x 2)) |
(+ (* -1 y) (pow x 2)) |
(* -1 y) |
(* y (- (/ (pow x 2) y) 1)) |
(* y (- (/ (pow x 2) y) 1)) |
(* y (- (/ (pow x 2) y) 1)) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ (pow x 2) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (pow x 2) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (pow x 2) y))))) |
(* -1/2 y) |
(+ (* -1/2 y) (* 1/2 (pow x 2))) |
(+ (* -1/2 y) (* 1/2 (pow x 2))) |
(+ (* -1/2 y) (* 1/2 (pow x 2))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* -1/2 (/ y (pow x 2))))) |
(* (pow x 2) (+ 1/2 (* -1/2 (/ y (pow x 2))))) |
(* (pow x 2) (+ 1/2 (* -1/2 (/ y (pow x 2))))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* -1/2 (/ y (pow x 2))))) |
(* (pow x 2) (+ 1/2 (* -1/2 (/ y (pow x 2))))) |
(* (pow x 2) (+ 1/2 (* -1/2 (/ y (pow x 2))))) |
(* 1/2 (pow x 2)) |
(+ (* -1/2 y) (* 1/2 (pow x 2))) |
(+ (* -1/2 y) (* 1/2 (pow x 2))) |
(+ (* -1/2 y) (* 1/2 (pow x 2))) |
(* -1/2 y) |
(* y (- (* 1/2 (/ (pow x 2) y)) 1/2)) |
(* y (- (* 1/2 (/ (pow x 2) y)) 1/2)) |
(* y (- (* 1/2 (/ (pow x 2) y)) 1/2)) |
(* -1/2 y) |
(* -1 (* y (+ 1/2 (* -1/2 (/ (pow x 2) y))))) |
(* -1 (* y (+ 1/2 (* -1/2 (/ (pow x 2) y))))) |
(* -1 (* y (+ 1/2 (* -1/2 (/ (pow x 2) 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) |
(- (pow x 2) y) |
(-.f64 (fma.f64 x x #s(literal 0 binary64)) y) |
(- (pow x 2) y) |
(-.f64 (fma.f64 x x #s(literal 0 binary64)) y) |
(- (pow x 2) y) |
(-.f64 (fma.f64 x x #s(literal 0 binary64)) y) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(* (pow x 2) (+ 1 (* -1 (/ y (pow x 2))))) |
(-.f64 (fma.f64 x x #s(literal 0 binary64)) y) |
(* (pow x 2) (+ 1 (* -1 (/ y (pow x 2))))) |
(-.f64 (fma.f64 x x #s(literal 0 binary64)) y) |
(* (pow x 2) (+ 1 (* -1 (/ y (pow x 2))))) |
(-.f64 (fma.f64 x x #s(literal 0 binary64)) y) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(* (pow x 2) (+ 1 (* -1 (/ y (pow x 2))))) |
(-.f64 (fma.f64 x x #s(literal 0 binary64)) y) |
(* (pow x 2) (+ 1 (* -1 (/ y (pow x 2))))) |
(-.f64 (fma.f64 x x #s(literal 0 binary64)) y) |
(* (pow x 2) (+ 1 (* -1 (/ y (pow x 2))))) |
(-.f64 (fma.f64 x x #s(literal 0 binary64)) y) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(+ (* -1 y) (pow x 2)) |
(-.f64 (fma.f64 x x #s(literal 0 binary64)) y) |
(+ (* -1 y) (pow x 2)) |
(-.f64 (fma.f64 x x #s(literal 0 binary64)) y) |
(+ (* -1 y) (pow x 2)) |
(-.f64 (fma.f64 x x #s(literal 0 binary64)) y) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* y (- (/ (pow x 2) y) 1)) |
(-.f64 (fma.f64 x x #s(literal 0 binary64)) y) |
(* y (- (/ (pow x 2) y) 1)) |
(-.f64 (fma.f64 x x #s(literal 0 binary64)) y) |
(* y (- (/ (pow x 2) y) 1)) |
(-.f64 (fma.f64 x x #s(literal 0 binary64)) y) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* -1 (* y (+ 1 (* -1 (/ (pow x 2) y))))) |
(-.f64 (fma.f64 x x #s(literal 0 binary64)) y) |
(* -1 (* y (+ 1 (* -1 (/ (pow x 2) y))))) |
(-.f64 (fma.f64 x x #s(literal 0 binary64)) y) |
(* -1 (* y (+ 1 (* -1 (/ (pow x 2) y))))) |
(-.f64 (fma.f64 x x #s(literal 0 binary64)) y) |
(* -1/2 y) |
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) |
(+ (* -1/2 y) (* 1/2 (pow x 2))) |
(fma.f64 (-.f64 y (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/2 binary64) #s(literal 0 binary64)) |
(+ (* -1/2 y) (* 1/2 (pow x 2))) |
(fma.f64 (-.f64 y (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/2 binary64) #s(literal 0 binary64)) |
(+ (* -1/2 y) (* 1/2 (pow x 2))) |
(fma.f64 (-.f64 y (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/2 binary64) #s(literal 0 binary64)) |
(* 1/2 (pow x 2)) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64)) |
(* (pow x 2) (+ 1/2 (* -1/2 (/ y (pow x 2))))) |
(fma.f64 (-.f64 y (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/2 binary64) #s(literal 0 binary64)) |
(* (pow x 2) (+ 1/2 (* -1/2 (/ y (pow x 2))))) |
(fma.f64 (-.f64 y (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/2 binary64) #s(literal 0 binary64)) |
(* (pow x 2) (+ 1/2 (* -1/2 (/ y (pow x 2))))) |
(fma.f64 (-.f64 y (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/2 binary64) #s(literal 0 binary64)) |
(* 1/2 (pow x 2)) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64)) |
(* (pow x 2) (+ 1/2 (* -1/2 (/ y (pow x 2))))) |
(fma.f64 (-.f64 y (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/2 binary64) #s(literal 0 binary64)) |
(* (pow x 2) (+ 1/2 (* -1/2 (/ y (pow x 2))))) |
(fma.f64 (-.f64 y (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/2 binary64) #s(literal 0 binary64)) |
(* (pow x 2) (+ 1/2 (* -1/2 (/ y (pow x 2))))) |
(fma.f64 (-.f64 y (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/2 binary64) #s(literal 0 binary64)) |
(* 1/2 (pow x 2)) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64)) |
(+ (* -1/2 y) (* 1/2 (pow x 2))) |
(fma.f64 (-.f64 y (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/2 binary64) #s(literal 0 binary64)) |
(+ (* -1/2 y) (* 1/2 (pow x 2))) |
(fma.f64 (-.f64 y (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/2 binary64) #s(literal 0 binary64)) |
(+ (* -1/2 y) (* 1/2 (pow x 2))) |
(fma.f64 (-.f64 y (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/2 binary64) #s(literal 0 binary64)) |
(* -1/2 y) |
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) |
(* y (- (* 1/2 (/ (pow x 2) y)) 1/2)) |
(fma.f64 (-.f64 y (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/2 binary64) #s(literal 0 binary64)) |
(* y (- (* 1/2 (/ (pow x 2) y)) 1/2)) |
(fma.f64 (-.f64 y (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/2 binary64) #s(literal 0 binary64)) |
(* y (- (* 1/2 (/ (pow x 2) y)) 1/2)) |
(fma.f64 (-.f64 y (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/2 binary64) #s(literal 0 binary64)) |
(* -1/2 y) |
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) |
(* -1 (* y (+ 1/2 (* -1/2 (/ (pow x 2) y))))) |
(fma.f64 (-.f64 y (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/2 binary64) #s(literal 0 binary64)) |
(* -1 (* y (+ 1/2 (* -1/2 (/ (pow x 2) y))))) |
(fma.f64 (-.f64 y (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/2 binary64) #s(literal 0 binary64)) |
(* -1 (* y (+ 1/2 (* -1/2 (/ (pow x 2) y))))) |
(fma.f64 (-.f64 y (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/2 binary64) #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)) |
Compiled 15 619 to 901 computations (94.2% saved)
3 alts after pruning (2 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 324 | 2 | 326 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 324 | 3 | 327 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 55.3% | (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) |
| ▶ | 46.6% | (*.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64))) |
| ✓ | 100.0% | (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x x) y)) |
Compiled 23 to 17 computations (26.1% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) |
| ✓ | cost-diff | -64 | (*.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 x x #s(literal 0 binary64)) |
| 18× | *-lowering-*.f32 |
| 18× | *-lowering-*.f64 |
| 14× | accelerator-lowering-fma.f32 |
| 14× | accelerator-lowering-fma.f64 |
| 12× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 17 |
| 1 | 20 | 17 |
| 2 | 26 | 17 |
| 3 | 28 | 17 |
| 0 | 28 | 17 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* 1/2 (+ (* x x) 0)) |
1/2 |
(+ (* x x) 0) |
x |
0 |
(+ (* y -1/2) 0) |
y |
-1/2 |
0 |
| Outputs |
|---|
(* 1/2 (+ (* x x) 0)) |
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ (* x x) 0) |
(fma.f64 x x #s(literal 0 binary64)) |
x |
0 |
#s(literal 0 binary64) |
(+ (* y -1/2) 0) |
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) |
y |
-1/2 |
#s(literal -1/2 binary64) |
0 |
#s(literal 0 binary64) |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 x x #s(literal 0 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64))) |
| 15.0ms | 256× | 0 | valid |
Compiled 22 to 12 computations (45.5% saved)
ival-mult: 5.0ms (65.6% of total)ival-add: 2.0ms (26.2% 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) 0)> |
#<alt (* 1/2 (+ (* x x) 0))> |
#<alt (+ (* y -1/2) 0)> |
| 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 (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (* 1/2 (+ (* x x) 0)) |
| 0.0ms | y | @ | inf | (+ (* y -1/2) 0) |
| 0.0ms | y | @ | 0 | (+ (* y -1/2) 0) |
| 0.0ms | x | @ | 0 | (* 1/2 (+ (* x x) 0)) |
| 0.0ms | y | @ | -inf | (+ (* y -1/2) 0) |
| 1× | batch-egg-rewrite |
| 2 994× | *-lowering-*.f32 |
| 2 994× | *-lowering-*.f64 |
| 2 914× | accelerator-lowering-fma.f32 |
| 2 914× | accelerator-lowering-fma.f64 |
| 1 930× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 11 |
| 1 | 44 | 11 |
| 2 | 413 | 11 |
| 3 | 3583 | 11 |
| 0 | 8593 | 11 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* x x) 0) |
(* 1/2 (+ (* x x) 0)) |
(+ (* y -1/2) 0) |
| 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 (fma.f64 #s(literal 2 binary64) (log.f64 x) #s(literal 0 binary64))) |
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) #s(literal 0 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (log.f64 x) #s(literal 0 binary64)) #s(literal -1 binary64))) |
(exp.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (fma.f64 #s(literal 6 binary64) (log.f64 x) #s(literal 0 binary64))) (fma.f64 #s(literal 6 binary64) (log.f64 x) #s(literal 0 binary64)))) |
(exp.f64 (-.f64 (fma.f64 #s(literal 6 binary64) (log.f64 x) (fma.f64 #s(literal 2 binary64) (log.f64 x) #s(literal 0 binary64))) (fma.f64 #s(literal 6 binary64) (log.f64 x) #s(literal 0 binary64)))) |
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) (log.f64 x))) |
(exp.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (log.f64 x))) |
(-.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(fma.f64 x x #s(literal 0 binary64)) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (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))) #s(literal 0 binary64)) |
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (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 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 0 binary64)) |
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #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)))) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #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 x x #s(literal 0 binary64))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #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)) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(fma.f64 (/.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) |
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(*.f64 (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/2 binary64)) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(*.f64 (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 y y)) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) (*.f64 y y))) |
(*.f64 (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64))) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) y)) |
(*.f64 (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) y) (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)))) |
(*.f64 (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) y) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64)) (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(*.f64 (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64)) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) y)) |
(*.f64 (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) (*.f64 y y)) (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64)) (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 y y))) |
(*.f64 (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64))) (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) y)) |
(*.f64 (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (*.f64 y (*.f64 y y)) y) (/.f64 #s(literal -1/8 binary64) (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)))) |
(*.f64 (/.f64 #s(literal -1/8 binary64) (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64))) (/.f64 (*.f64 y (*.f64 y y)) y)) |
(*.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) (/.f64 #s(literal -1/8 binary64) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(*.f64 (/.f64 #s(literal -1/8 binary64) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (*.f64 y (*.f64 y y)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))) (/.f64 #s(literal -1/8 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)))) |
(*.f64 (/.f64 #s(literal -1/8 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)))) |
(*.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 y y)) #s(literal -1/2 binary64)) |
(*.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal 1/4 binary64)) (/.f64 #s(literal -1/8 binary64) (*.f64 y y))) |
(*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 y y)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 1/4 binary64))) |
(*.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)))) |
(*.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64))) (/.f64 #s(literal -1/8 binary64) y)) |
(*.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1/4 binary64)) |
(*.f64 (/.f64 (pow.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) y) (/.f64 (pow.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64))) (/.f64 (pow.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) y)) |
(*.f64 (/.f64 (pow.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (pow.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (*.f64 y y)) (/.f64 (pow.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (*.f64 y y))) |
(*.f64 (/.f64 (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64)) (/.f64 y y)) |
(*.f64 (/.f64 (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) y) (/.f64 y #s(literal -1/2 binary64))) |
(*.f64 (/.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64) #s(literal 0 binary64))) (/.f64 (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 y y)))) |
(*.f64 (/.f64 y (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) (/.f64 #s(literal -2 binary64) y))) |
(*.f64 (/.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal -1/2 binary64) y)) |
(*.f64 (/.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) y) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64) #s(literal 0 binary64))) (/.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 y y)))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal -2 binary64) y))) |
(*.f64 (/.f64 (*.f64 y y) y) #s(literal -1/2 binary64)) |
(*.f64 (/.f64 (*.f64 y y) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/4 binary64) y)) |
(*.f64 (/.f64 #s(literal 1/4 binary64) y) (/.f64 (*.f64 y y) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (*.f64 y y) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y y)))) |
(*.f64 (/.f64 (*.f64 y y) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -2 binary64) y))) |
(*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64) #s(literal 0 binary64))) (/.f64 (*.f64 y y) (/.f64 #s(literal 4 binary64) (*.f64 y y)))) |
(*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (*.f64 y y) (/.f64 #s(literal -2 binary64) y))) |
(*.f64 (/.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64))) |
(*.f64 (/.f64 (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(*.f64 (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) y)) |
(*.f64 (/.f64 #s(literal -8 binary64) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/16 binary64) #s(literal 0 binary64))) |
(*.f64 (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64) #s(literal 0 binary64))) (fma.f64 (*.f64 y y) #s(literal -1/4 binary64) #s(literal 0 binary64))) |
(*.f64 (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/4 binary64) #s(literal 0 binary64))) (fma.f64 #s(literal 1/2 binary64) y #s(literal 0 binary64))) |
(*.f64 (/.f64 (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64) #s(literal 0 binary64))) (/.f64 y (/.f64 #s(literal 4 binary64) (*.f64 y y)))) |
(*.f64 (/.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64) #s(literal 0 binary64))) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y y)))) |
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal -1/2 binary64)))) |
(*.f64 (exp.f64 (log.f64 #s(literal -1/2 binary64))) (exp.f64 (log.f64 y))) |
| 1× | egg-herbie |
| 18× | *-lowering-*.f32 |
| 18× | *-lowering-*.f64 |
| 10× | *-commutative |
| 2× | pow-lowering-pow.f64 |
| 2× | pow-lowering-pow.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 132 |
| 1 | 11 | 132 |
| 2 | 15 | 132 |
| 3 | 17 | 132 |
| 0 | 17 | 132 |
| 1× | iter limit |
| 1× | saturated |
| 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) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
| Outputs |
|---|
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* 1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
Compiled 7 677 to 724 computations (90.6% saved)
3 alts after pruning (2 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 426 | 2 | 428 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 0 | 2 |
| Done | 0 | 1 | 1 |
| Total | 428 | 3 | 431 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 46.6% | (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) |
| ▶ | 55.3% | (*.f64 y #s(literal -1/2 binary64)) |
| ✓ | 100.0% | (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x x) y)) |
Compiled 21 to 15 computations (28.6% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) |
| ✓ | cost-diff | 0 | (*.f64 y #s(literal -1/2 binary64)) |
| 18× | *-lowering-*.f32 |
| 18× | *-lowering-*.f64 |
| 6× | *-commutative |
| 4× | associate-*l* |
| 2× | associate-*r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 15 |
| 1 | 11 | 15 |
| 2 | 14 | 15 |
| 0 | 14 | 15 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* y -1/2) |
y |
-1/2 |
(* (* x 1/2) x) |
(* x 1/2) |
x |
1/2 |
| Outputs |
|---|
(* y -1/2) |
(*.f64 y #s(literal -1/2 binary64)) |
y |
-1/2 |
#s(literal -1/2 binary64) |
(* (* x 1/2) x) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(* x 1/2) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
1/2 |
#s(literal 1/2 binary64) |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 y #s(literal -1/2 binary64)) |
| 14.0ms | 256× | 0 | valid |
Compiled 17 to 9 computations (47.1% saved)
ival-mult: 5.0ms (92.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* y -1/2)> |
#<alt (* (* x 1/2) x)> |
#<alt (* x 1/2)> |
| Outputs |
|---|
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | inf | (* y -1/2) |
| 0.0ms | x | @ | 0 | (* x 1/2) |
| 0.0ms | x | @ | -inf | (* x 1/2) |
| 0.0ms | x | @ | inf | (* x 1/2) |
| 0.0ms | y | @ | -inf | (* y -1/2) |
| 1× | batch-egg-rewrite |
| 2 136× | pow-lowering-pow.f64 |
| 2 136× | pow-lowering-pow.f32 |
| 1 592× | *-lowering-*.f32 |
| 1 592× | *-lowering-*.f64 |
| 1 412× | prod-exp |
Useful iterations: 7 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 13 |
| 1 | 11 | 13 |
| 2 | 14 | 13 |
| 3 | 16 | 13 |
| 4 | 23 | 13 |
| 5 | 38 | 13 |
| 6 | 94 | 13 |
| 7 | 283 | 5 |
| 8 | 1659 | 5 |
| 9 | 1684 | 5 |
| 10 | 1807 | 5 |
| 11 | 3010 | 5 |
| 0 | 8412 | 5 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* y -1/2) |
(* (* x 1/2) x) |
(* x 1/2) |
| Outputs |
|---|
(*.f64 y #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) y) |
#s(literal 1/2 binary64) |
#s(literal 1/2 binary64) |
| 1× | egg-herbie |
| 18× | *-lowering-*.f32 |
| 18× | *-lowering-*.f64 |
| 6× | *-commutative |
| 2× | pow-lowering-pow.f64 |
| 2× | pow-lowering-pow.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 132 |
| 1 | 13 | 132 |
| 2 | 15 | 132 |
| 0 | 15 | 132 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
| Outputs |
|---|
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
Compiled 168 to 10 computations (94% saved)
5 alts after pruning (2 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 38 | 2 | 40 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 1 | 1 |
| Total | 38 | 5 | 43 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 46.6% | (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) |
| ✓ | 55.3% | (*.f64 y #s(literal -1/2 binary64)) |
| ✓ | 100.0% | (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x x) y)) |
| ▶ | 5.4% | (*.f64 #s(literal 1/2 binary64) x) |
| ▶ | 3.8% | #s(literal 1/2 binary64) |
Compiled 29 to 22 computations (24.1% saved)
| 1× | egg-herbie |
Found 1 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) x) |
| 4× | *-lowering-*.f32 |
| 4× | *-lowering-*.f64 |
| 2× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 3 | 6 |
| 1 | 4 | 6 |
| 0 | 4 | 6 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
1/2 |
(* 1/2 x) |
1/2 |
x |
| Outputs |
|---|
1/2 |
#s(literal 1/2 binary64) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
1/2 |
#s(literal 1/2 binary64) |
x |
Found 1 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 1/2 binary64) x) |
| 7.0ms | 256× | 0 | valid |
Compiled 8 to 6 computations (25% saved)
ival-mult: 2.0ms (93.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* 1/2 x)> |
| Outputs |
|---|
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (* 1/2 x) |
| 0.0ms | x | @ | -inf | (* 1/2 x) |
| 0.0ms | x | @ | 0 | (* 1/2 x) |
| 1× | batch-egg-rewrite |
| 4× | *-lowering-*.f32 |
| 4× | *-lowering-*.f64 |
| 2× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 3 | 3 |
| 1 | 4 | 3 |
| 0 | 4 | 3 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* 1/2 x) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x #s(literal 1/2 binary64)) |
| 1× | egg-herbie |
| 4× | *-lowering-*.f32 |
| 4× | *-lowering-*.f64 |
| 2× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 3 | 36 |
| 1 | 4 | 36 |
| 0 | 4 | 36 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
| Outputs |
|---|
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
Compiled 44 to 5 computations (88.6% saved)
5 alts after pruning (0 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 14 | 0 | 14 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 3 | 3 |
| Total | 14 | 5 | 19 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 46.6% | (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) |
| ✓ | 55.3% | (*.f64 y #s(literal -1/2 binary64)) |
| ✓ | 100.0% | (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x x) y)) |
| ✓ | 5.4% | (*.f64 #s(literal 1/2 binary64) x) |
| ✓ | 3.8% | #s(literal 1/2 binary64) |
Compiled 60 to 37 computations (38.3% saved)
| Inputs |
|---|
#s(literal 1/2 binary64) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 y #s(literal -1/2 binary64)) |
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) x) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x x) y)) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x x) y)) |
5 calls:
| 5.0ms | (-.f64 (*.f64 x x) y) |
| 3.0ms | (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x x) y)) |
| 3.0ms | y |
| 3.0ms | x |
| 3.0ms | (*.f64 x x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x x) y)) |
| 100.0% | 1 | (-.f64 (*.f64 x x) y) |
| 100.0% | 1 | (*.f64 x x) |
Compiled 27 to 17 computations (37% saved)
| Inputs |
|---|
#s(literal 1/2 binary64) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 y #s(literal -1/2 binary64)) |
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) x) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64))) |
| Outputs |
|---|
(*.f64 y #s(literal -1/2 binary64)) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) x) |
5 calls:
| 127.0ms | y |
| 3.0ms | (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x x) y)) |
| 3.0ms | x |
| 3.0ms | (-.f64 (*.f64 x x) y) |
| 2.0ms | (*.f64 x x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.4% | 2 | x |
| 65.3% | 3 | y |
| 81.6% | 2 | (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x x) y)) |
| 81.6% | 2 | (-.f64 (*.f64 x x) y) |
| 91.4% | 2 | (*.f64 x x) |
Compiled 27 to 17 computations (37% saved)
| Inputs |
|---|
#s(literal 1/2 binary64) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 y #s(literal -1/2 binary64)) |
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) |
| Outputs |
|---|
(*.f64 y #s(literal -1/2 binary64)) |
5 calls:
| 2.0ms | (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x x) y)) |
| 2.0ms | x |
| 2.0ms | y |
| 2.0ms | (-.f64 (*.f64 x x) y) |
| 2.0ms | (*.f64 x x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.3% | 1 | y |
| 55.3% | 1 | (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x x) y)) |
| 55.3% | 1 | (-.f64 (*.f64 x x) y) |
| 55.3% | 1 | x |
| 55.3% | 1 | (*.f64 x x) |
Compiled 27 to 17 computations (37% saved)
| Inputs |
|---|
#s(literal 1/2 binary64) |
(*.f64 #s(literal 1/2 binary64) x) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) x) |
5 calls:
| 2.0ms | (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x x) y)) |
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | (-.f64 (*.f64 x x) y) |
| 1.0ms | (*.f64 x x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 5.4% | 1 | x |
| 5.4% | 1 | y |
| 5.4% | 1 | (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x x) y)) |
| 5.4% | 1 | (-.f64 (*.f64 x x) y) |
| 5.4% | 1 | (*.f64 x x) |
Compiled 27 to 17 computations (37% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(literal 1/2 binary64) |
| Outputs |
|---|
#s(literal 1/2 binary64) |
5 calls:
| 10.0ms | (-.f64 (*.f64 x x) y) |
| 1.0ms | (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x x) y)) |
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | (*.f64 x x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 3.8% | 1 | (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x x) y)) |
| 3.8% | 1 | (-.f64 (*.f64 x x) y) |
| 3.8% | 1 | x |
| 3.8% | 1 | (*.f64 x x) |
| 3.8% | 1 | y |
Compiled 27 to 17 computations (37% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.6596223408205836e-11 | 208061761475282430.0 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | egg-herbie |
| 10× | *-commutative_binary64 |
| 4× | +-commutative_binary64 |
| 4× | sub-neg_binary64 |
| 2× | neg-sub0_binary64 |
| 2× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 28 |
| 1 | 19 | 28 |
| 2 | 24 | 28 |
| 3 | 26 | 28 |
| 4 | 27 | 28 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x x) y)) |
(if (<=.f64 (*.f64 x x) #s(literal 6189700196426901/309485009821345068724781056 binary64)) (*.f64 y #s(literal -1/2 binary64)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) x)) |
(*.f64 y #s(literal -1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x x) y)) |
(if (<=.f64 (*.f64 x x) #s(literal 6189700196426901/309485009821345068724781056 binary64)) (*.f64 y #s(literal -1/2 binary64)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) x)) |
(if (<=.f64 (*.f64 x x) #s(literal 6189700196426901/309485009821345068724781056 binary64)) (*.f64 y #s(literal -1/2 binary64)) (*.f64 x (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 y #s(literal -1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
| 5 028× | accelerator-lowering-fma.f32 |
| 5 028× | accelerator-lowering-fma.f64 |
| 3 454× | *-lowering-*.f32 |
| 3 454× | *-lowering-*.f64 |
| 2 994× | *-lowering-*.f32 |
Useful iterations: 7 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 327 |
| 1 | 102 | 327 |
| 2 | 297 | 327 |
| 3 | 999 | 291 |
| 4 | 2509 | 291 |
| 5 | 5004 | 291 |
| 6 | 7180 | 291 |
| 0 | 8138 | 291 |
| 0 | 10 | 11 |
| 1 | 44 | 11 |
| 2 | 413 | 11 |
| 3 | 3583 | 11 |
| 0 | 8593 | 11 |
| 0 | 7 | 13 |
| 1 | 11 | 13 |
| 2 | 14 | 13 |
| 3 | 16 | 13 |
| 4 | 23 | 13 |
| 5 | 38 | 13 |
| 6 | 94 | 13 |
| 7 | 283 | 5 |
| 8 | 1659 | 5 |
| 9 | 1684 | 5 |
| 10 | 1807 | 5 |
| 11 | 3010 | 5 |
| 0 | 8412 | 5 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 97 to 64 computations (34% saved)
(abs x)
Compiled 114 to 62 computations (45.6% saved)
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