
Time bar (total: 8.2s)
| 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 11 to 10 computations (9.1% saved)
| 413.0ms | 8 256× | 0 | valid |
ival-mult: 105.0ms (48.3% of total)ival-sub: 62.0ms (28.5% of total)ival-add: 37.0ms (17% of total)ival-true: 6.0ms (2.8% of total)exact: 4.0ms (1.8% of total)ival-assert: 3.0ms (1.4% of total)| 2× | egg-herbie |
| 608× | accelerator-lowering-fma.f32 |
| 608× | accelerator-lowering-fma.f64 |
| 392× | distribute-rgt-in |
| 374× | unsub-neg |
| 308× | sub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 99 |
| 1 | 82 | 90 |
| 2 | 189 | 90 |
| 3 | 553 | 75 |
| 4 | 1184 | 71 |
| 5 | 1976 | 70 |
| 6 | 2346 | 70 |
| 7 | 2386 | 70 |
| 8 | 2390 | 70 |
| 9 | 2390 | 70 |
| 0 | 8 | 9 |
| 1 | 15 | 9 |
| 2 | 25 | 9 |
| 3 | 48 | 9 |
| 4 | 103 | 8 |
| 5 | 151 | 7 |
| 6 | 242 | 7 |
| 7 | 394 | 7 |
| 8 | 554 | 7 |
| 9 | 627 | 7 |
| 10 | 629 | 7 |
| 0 | 629 | 6 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(+ (* (- 1 x) y) (* x z)) |
| Outputs |
|---|
(+ (* (- 1 x) y) (* x z)) |
(fma.f64 x (-.f64 z y) y) |
| Inputs |
|---|
(+ (* (- 1 x) y) (* x z)) |
(+ (* (- 1 (neg x)) y) (* (neg x) z)) |
(+ (* (- 1 x) (neg y)) (* x z)) |
(+ (* (- 1 x) y) (* x (neg z))) |
(neg (+ (* (- 1 (neg x)) y) (* (neg x) z))) |
(neg (+ (* (- 1 x) (neg y)) (* x z))) |
(neg (+ (* (- 1 x) y) (* x (neg z)))) |
(+ (* (- 1 y) x) (* y z)) |
(+ (* (- 1 z) y) (* z x)) |
(+ (* (- 1 x) z) (* x y)) |
| Outputs |
|---|
(+ (* (- 1 x) y) (* x z)) |
(+ y (* x (- z y))) |
(+ (* (- 1 (neg x)) y) (* (neg x) z)) |
(+ y (* x (- y z))) |
(+ (* (- 1 x) (neg y)) (* x z)) |
(- (* x (+ y z)) y) |
(+ (* (- 1 x) y) (* x (neg z))) |
(- y (* x (+ y z))) |
(neg (+ (* (- 1 (neg x)) y) (* (neg x) z))) |
(- (* x (- z y)) y) |
(neg (+ (* (- 1 x) (neg y)) (* x z))) |
(- y (* x (+ y z))) |
(neg (+ (* (- 1 x) y) (* x (neg z)))) |
(- (* x (+ y z)) y) |
(+ (* (- 1 y) x) (* y z)) |
(+ x (* y (- z x))) |
(+ (* (- 1 z) y) (* z x)) |
(+ y (* z (- x y))) |
(+ (* (- 1 x) z) (* x y)) |
(+ z (* x (- y z))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 5 | 0 | - | 0 | - | (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 (-.f64 #s(literal 1 binary64) x) y) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) x) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (*.f64 x z) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
+.f64 | (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) | nan-rescue | 5 | 0 |
| ↳ | (*.f64 (-.f64 #s(literal 1 binary64) x) y) | overflow | 34 | |
| ↳ | (*.f64 x z) | overflow | 28 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 5 | 0 |
| - | 0 | 251 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 5 | 0 | 0 |
| - | 0 | 0 | 251 |
| number | freq |
|---|---|
| 0 | 251 |
| 1 | 5 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 28.0ms | 512× | 0 | valid |
Compiled 76 to 36 computations (52.6% saved)
ival-mult: 7.0ms (55.5% of total)ival-sub: 3.0ms (23.8% of total)ival-add: 2.0ms (15.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.0% | (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) |
Compiled 12 to 8 computations (33.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | -64 | (*.f64 x z) |
| ✓ | cost-diff | -64 | (*.f64 (-.f64 #s(literal 1 binary64) x) y) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 576 | (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) |
| 608× | accelerator-lowering-fma.f32 |
| 608× | accelerator-lowering-fma.f64 |
| 240× | *-lowering-*.f32 |
| 240× | *-lowering-*.f64 |
| 152× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 24 |
| 1 | 15 | 24 |
| 2 | 25 | 24 |
| 3 | 48 | 24 |
| 4 | 103 | 23 |
| 5 | 151 | 22 |
| 6 | 242 | 22 |
| 7 | 394 | 22 |
| 8 | 554 | 22 |
| 9 | 627 | 22 |
| 10 | 629 | 22 |
| 0 | 629 | 21 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+ (* (- 1 x) y) (* x z)) |
(* (- 1 x) y) |
(- 1 x) |
1 |
x |
y |
(* x z) |
z |
| Outputs |
|---|
(+ (* (- 1 x) y) (* x z)) |
(fma.f64 x (-.f64 z y) y) |
(* (- 1 x) y) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y #s(literal 0 binary64)) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
x |
y |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
z |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 100.0% | (*.f64 (-.f64 #s(literal 1 binary64) x) y) |
| ✓ | accuracy | 100.0% | (*.f64 x z) |
| ✓ | accuracy | 98.0% | (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) |
| 14.0ms | 256× | 0 | valid |
Compiled 26 to 10 computations (61.5% saved)
ival-mult: 3.0ms (48.8% of total)ival-sub: 1.0ms (16.3% of total)ival-add: 1.0ms (16.3% 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 x) y) (* x z))> |
#<alt (- 1 x)> |
#<alt (* (- 1 x) y)> |
#<alt (* x z)> |
| Outputs |
|---|
#<alt y> |
#<alt (+ y (* x (+ z (* -1 y))))> |
#<alt (+ y (* x (+ z (* -1 y))))> |
#<alt (+ y (* x (+ z (* -1 y))))> |
#<alt (* x (+ z (* -1 y)))> |
#<alt (* x (+ z (+ (* -1 y) (/ y x))))> |
#<alt (* x (+ z (+ (* -1 y) (/ y x))))> |
#<alt (* x (+ z (+ (* -1 y) (/ y x))))> |
#<alt (* -1 (* x (+ y (* -1 z))))> |
#<alt (* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x))))))> |
#<alt (* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x))))))> |
#<alt (* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x))))))> |
#<alt (* x z)> |
#<alt (+ (* x z) (* y (- 1 x)))> |
#<alt (+ (* x z) (* y (- 1 x)))> |
#<alt (+ (* x z) (* y (- 1 x)))> |
#<alt (* y (- 1 x))> |
#<alt (* y (- (+ 1 (/ (* x z) y)) x))> |
#<alt (* y (- (+ 1 (/ (* x z) y)) x))> |
#<alt (* y (- (+ 1 (/ (* x z) y)) x))> |
#<alt (* y (- 1 x))> |
#<alt (* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y)))))> |
#<alt (* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y)))))> |
#<alt (* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y)))))> |
#<alt (* y (- 1 x))> |
#<alt (+ (* x z) (* y (- 1 x)))> |
#<alt (+ (* x z) (* y (- 1 x)))> |
#<alt (+ (* x z) (* y (- 1 x)))> |
#<alt (* x z)> |
#<alt (* z (+ x (/ (* y (- 1 x)) z)))> |
#<alt (* z (+ x (/ (* y (- 1 x)) z)))> |
#<alt (* z (+ x (/ (* y (- 1 x)) z)))> |
#<alt (* x z)> |
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z)))))> |
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z)))))> |
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z)))))> |
#<alt 1> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* -1 x))> |
#<alt (* -1 x)> |
#<alt (* x (- (/ 1 x) 1))> |
#<alt (* x (- (/ 1 x) 1))> |
#<alt (* x (- (/ 1 x) 1))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (- 1 (/ 1 x))))> |
#<alt (* -1 (* x (- 1 (/ 1 x))))> |
#<alt (* -1 (* x (- 1 (/ 1 x))))> |
#<alt y> |
#<alt (+ y (* -1 (* x y)))> |
#<alt (+ y (* -1 (* x y)))> |
#<alt (+ y (* -1 (* x y)))> |
#<alt (* -1 (* x y))> |
#<alt (* x (+ (* -1 y) (/ y x)))> |
#<alt (* x (+ (* -1 y) (/ y x)))> |
#<alt (* x (+ (* -1 y) (/ y x)))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x (+ y (* -1 (/ y x)))))> |
#<alt (* -1 (* x (+ y (* -1 (/ y x)))))> |
#<alt (* -1 (* x (+ y (* -1 (/ y x)))))> |
#<alt (* y (- 1 x))> |
#<alt (* y (- 1 x))> |
#<alt (* y (- 1 x))> |
#<alt (* y (- 1 x))> |
#<alt (* y (- 1 x))> |
#<alt (* y (- 1 x))> |
#<alt (* y (- 1 x))> |
#<alt (* y (- 1 x))> |
#<alt (* y (- 1 x))> |
#<alt (* y (- 1 x))> |
#<alt (* y (- 1 x))> |
#<alt (* y (- 1 x))> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (+ (* (- 1 x) y) (* x z)) |
| 1.0ms | y | @ | 0 | (* (- 1 x) y) |
| 0.0ms | y | @ | 0 | (+ (* (- 1 x) y) (* x z)) |
| 0.0ms | x | @ | 0 | (+ (* (- 1 x) y) (* x z)) |
| 0.0ms | y | @ | -inf | (+ (* (- 1 x) y) (* x z)) |
| 1× | batch-egg-rewrite |
| 9 442× | accelerator-lowering-fma.f32 |
| 9 442× | accelerator-lowering-fma.f64 |
| 7 738× | *-lowering-*.f32 |
| 7 738× | *-lowering-*.f64 |
| 4 066× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 20 |
| 1 | 40 | 20 |
| 2 | 309 | 20 |
| 3 | 3723 | 20 |
| 0 | 12496 | 19 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (- 1 x) y) (* x z)) |
(- 1 x) |
(* (- 1 x) y) |
(* x z) |
| Outputs |
|---|
(+.f64 y (fma.f64 y (-.f64 #s(literal 0 binary64) x) (*.f64 x z))) |
(+.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x)) (*.f64 x z)) |
(+.f64 (*.f64 x z) (*.f64 y (+.f64 #s(literal 1 binary64) x))) |
(+.f64 (/.f64 (*.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x)) (*.f64 y (+.f64 #s(literal 1 binary64) x))) (fma.f64 z (-.f64 #s(literal 0 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x)))) (neg.f64 (/.f64 (*.f64 x (*.f64 z (*.f64 x z))) (fma.f64 z (-.f64 #s(literal 0 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x)))))) |
(+.f64 (fma.f64 x z y) (*.f64 y (-.f64 #s(literal 0 binary64) x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x z (*.f64 y (+.f64 #s(literal 1 binary64) x))))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (*.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x)) (*.f64 y (+.f64 #s(literal 1 binary64) x))) (fma.f64 z (-.f64 #s(literal 0 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x)))) (/.f64 (*.f64 x (*.f64 z (*.f64 x z))) (fma.f64 z (-.f64 #s(literal 0 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x))))) |
(-.f64 (/.f64 (*.f64 x (*.f64 z (*.f64 x z))) (fma.f64 x z (-.f64 #s(literal 0 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) x))))) (/.f64 (*.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x)) (*.f64 y (+.f64 #s(literal 1 binary64) x))) (fma.f64 x z (-.f64 #s(literal 0 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) x)))))) |
(fma.f64 #s(literal 1 binary64) y (fma.f64 y (-.f64 #s(literal 0 binary64) x) (*.f64 x z))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x z) (*.f64 y (+.f64 #s(literal 1 binary64) x))) |
(fma.f64 x z (*.f64 y (+.f64 #s(literal 1 binary64) x))) |
(fma.f64 x (*.f64 #s(literal 1 binary64) z) (*.f64 y (+.f64 #s(literal 1 binary64) x))) |
(fma.f64 x (pow.f64 z #s(literal 1 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) x))) |
(fma.f64 x (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) x))) |
(fma.f64 x (exp.f64 (log.f64 z)) (*.f64 y (+.f64 #s(literal 1 binary64) x))) |
(fma.f64 y #s(literal 1 binary64) (fma.f64 y (-.f64 #s(literal 0 binary64) x) (*.f64 x z))) |
(fma.f64 y (+.f64 #s(literal 1 binary64) x) (*.f64 x z)) |
(fma.f64 y (/.f64 (*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (fma.f64 z (-.f64 #s(literal 0 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x)))) (neg.f64 (/.f64 (*.f64 x (*.f64 z (*.f64 x z))) (fma.f64 z (-.f64 #s(literal 0 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x)))))) |
(fma.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x)) (fma.f64 z (-.f64 #s(literal 0 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x)))) (neg.f64 (/.f64 (*.f64 x (*.f64 z (*.f64 x z))) (fma.f64 z (-.f64 #s(literal 0 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x)))))) |
(fma.f64 z x (*.f64 y (+.f64 #s(literal 1 binary64) x))) |
(fma.f64 (*.f64 x z) #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) x))) |
(fma.f64 (*.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x)) (*.f64 y (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 #s(literal 0 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x)))) (neg.f64 (/.f64 (*.f64 x (*.f64 z (*.f64 x z))) (fma.f64 z (-.f64 #s(literal 0 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x)))))) |
(fma.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) y) (*.f64 x z)) |
(fma.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 x z)) |
(fma.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) y) (*.f64 x z)) |
(fma.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (/.f64 y (+.f64 #s(literal 1 binary64) x)) (*.f64 x z)) |
(fma.f64 (+.f64 #s(literal 1 binary64) x) y (*.f64 x z)) |
(fma.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 y (*.f64 y (+.f64 #s(literal 1 binary64) x))) (fma.f64 z (-.f64 #s(literal 0 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x)))) (neg.f64 (/.f64 (*.f64 x (*.f64 z (*.f64 x z))) (fma.f64 z (-.f64 #s(literal 0 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x)))))) |
(fma.f64 (*.f64 y y) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (fma.f64 z (-.f64 #s(literal 0 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x)))) (neg.f64 (/.f64 (*.f64 x (*.f64 z (*.f64 x z))) (fma.f64 z (-.f64 #s(literal 0 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x)))))) |
(fma.f64 (*.f64 y (*.f64 y (+.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 z (-.f64 #s(literal 0 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x)))) (neg.f64 (/.f64 (*.f64 x (*.f64 z (*.f64 x z))) (fma.f64 z (-.f64 #s(literal 0 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x)))))) |
(fma.f64 (*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (/.f64 y (fma.f64 z (-.f64 #s(literal 0 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x)))) (neg.f64 (/.f64 (*.f64 x (*.f64 z (*.f64 x z))) (fma.f64 z (-.f64 #s(literal 0 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x)))))) |
(fma.f64 (*.f64 y (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 x z)) |
(fma.f64 (*.f64 y (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 x z)) |
(fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 y y) (fma.f64 z (-.f64 #s(literal 0 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x)))) (neg.f64 (/.f64 (*.f64 x (*.f64 z (*.f64 x z))) (fma.f64 z (-.f64 #s(literal 0 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x)))))) |
(fma.f64 (*.f64 z #s(literal 1 binary64)) x (*.f64 y (+.f64 #s(literal 1 binary64) x))) |
(fma.f64 (/.f64 (*.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x)) (*.f64 y (+.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 x z (*.f64 y (+.f64 #s(literal 1 binary64) x))) (fma.f64 z (-.f64 #s(literal 0 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x))))) (fma.f64 x z (*.f64 y (+.f64 #s(literal 1 binary64) x))) (neg.f64 (/.f64 (*.f64 x (*.f64 z (*.f64 x z))) (fma.f64 z (-.f64 #s(literal 0 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x)))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x)) (*.f64 y (+.f64 #s(literal 1 binary64) x))) (fma.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x)) (*.f64 y (+.f64 #s(literal 1 binary64) x))) (*.f64 x (*.f64 z (*.f64 x (*.f64 z (*.f64 x z))))))) (fma.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x)) (*.f64 y (+.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x z) (fma.f64 x z (*.f64 y (+.f64 #s(literal 1 binary64) x))))) (neg.f64 (/.f64 (*.f64 x (*.f64 z (*.f64 x z))) (fma.f64 z (-.f64 #s(literal 0 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x)))))) |
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(*.f64 (*.f64 z #s(literal 1 binary64)) x) |
(*.f64 (pow.f64 z #s(literal 1 binary64)) x) |
(*.f64 (pow.f64 (*.f64 z #s(literal 1 binary64)) #s(literal 1 binary64)) x) |
(*.f64 (exp.f64 (log.f64 z)) x) |
| 1× | egg-herbie |
| 7 472× | accelerator-lowering-fma.f32 |
| 7 472× | accelerator-lowering-fma.f64 |
| 2 438× | *-lowering-*.f32 |
| 2 438× | *-lowering-*.f64 |
| 1 490× | --lowering--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 471 |
| 1 | 192 | 442 |
| 2 | 558 | 442 |
| 3 | 1391 | 442 |
| 4 | 3878 | 442 |
| 5 | 6295 | 442 |
| 0 | 8006 | 415 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
y |
(+ y (* x (+ z (* -1 y)))) |
(+ y (* x (+ z (* -1 y)))) |
(+ y (* x (+ z (* -1 y)))) |
(* x (+ z (* -1 y))) |
(* x (+ z (+ (* -1 y) (/ y x)))) |
(* x (+ z (+ (* -1 y) (/ y x)))) |
(* x (+ z (+ (* -1 y) (/ y x)))) |
(* -1 (* x (+ y (* -1 z)))) |
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) |
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) |
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) |
(* x z) |
(+ (* x z) (* y (- 1 x))) |
(+ (* x z) (* y (- 1 x))) |
(+ (* x z) (* y (- 1 x))) |
(* y (- 1 x)) |
(* y (- (+ 1 (/ (* x z) y)) x)) |
(* y (- (+ 1 (/ (* x z) y)) x)) |
(* y (- (+ 1 (/ (* x z) y)) x)) |
(* y (- 1 x)) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y))))) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y))))) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y))))) |
(* y (- 1 x)) |
(+ (* x z) (* y (- 1 x))) |
(+ (* x z) (* y (- 1 x))) |
(+ (* x z) (* y (- 1 x))) |
(* x z) |
(* z (+ x (/ (* y (- 1 x)) z))) |
(* z (+ x (/ (* y (- 1 x)) z))) |
(* z (+ x (/ (* y (- 1 x)) z))) |
(* x z) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z))))) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z))))) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z))))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
y |
(+ y (* -1 (* x y))) |
(+ y (* -1 (* x y))) |
(+ y (* -1 (* x y))) |
(* -1 (* x y)) |
(* x (+ (* -1 y) (/ y x))) |
(* x (+ (* -1 y) (/ y x))) |
(* x (+ (* -1 y) (/ y x))) |
(* -1 (* x y)) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
| Outputs |
|---|
y |
(+ y (* x (+ z (* -1 y)))) |
(fma.f64 x (-.f64 z y) y) |
(+ y (* x (+ z (* -1 y)))) |
(fma.f64 x (-.f64 z y) y) |
(+ y (* x (+ z (* -1 y)))) |
(fma.f64 x (-.f64 z y) y) |
(* x (+ z (* -1 y))) |
(fma.f64 x (-.f64 z y) #s(literal 0 binary64)) |
(* x (+ z (+ (* -1 y) (/ y x)))) |
(fma.f64 x (-.f64 z y) y) |
(* x (+ z (+ (* -1 y) (/ y x)))) |
(fma.f64 x (-.f64 z y) y) |
(* x (+ z (+ (* -1 y) (/ y x)))) |
(fma.f64 x (-.f64 z y) y) |
(* -1 (* x (+ y (* -1 z)))) |
(fma.f64 x (-.f64 z y) #s(literal 0 binary64)) |
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) |
(fma.f64 x (-.f64 z y) y) |
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) |
(fma.f64 x (-.f64 z y) y) |
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) |
(fma.f64 x (-.f64 z y) y) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(+ (* x z) (* y (- 1 x))) |
(fma.f64 x (-.f64 z y) y) |
(+ (* x z) (* y (- 1 x))) |
(fma.f64 x (-.f64 z y) y) |
(+ (* x z) (* y (- 1 x))) |
(fma.f64 x (-.f64 z y) y) |
(* y (- 1 x)) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(* y (- (+ 1 (/ (* x z) y)) x)) |
(fma.f64 x (-.f64 z y) y) |
(* y (- (+ 1 (/ (* x z) y)) x)) |
(fma.f64 x (-.f64 z y) y) |
(* y (- (+ 1 (/ (* x z) y)) x)) |
(fma.f64 x (-.f64 z y) y) |
(* y (- 1 x)) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y))))) |
(fma.f64 x (-.f64 z y) y) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y))))) |
(fma.f64 x (-.f64 z y) y) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y))))) |
(fma.f64 x (-.f64 z y) y) |
(* y (- 1 x)) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(+ (* x z) (* y (- 1 x))) |
(fma.f64 x (-.f64 z y) y) |
(+ (* x z) (* y (- 1 x))) |
(fma.f64 x (-.f64 z y) y) |
(+ (* x z) (* y (- 1 x))) |
(fma.f64 x (-.f64 z y) y) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* z (+ x (/ (* y (- 1 x)) z))) |
(fma.f64 x (-.f64 z y) y) |
(* z (+ x (/ (* y (- 1 x)) z))) |
(fma.f64 x (-.f64 z y) y) |
(* z (+ x (/ (* y (- 1 x)) z))) |
(fma.f64 x (-.f64 z y) y) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z))))) |
(fma.f64 x (-.f64 z y) y) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z))))) |
(fma.f64 x (-.f64 z y) y) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z))))) |
(fma.f64 x (-.f64 z y) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
y |
(+ y (* -1 (* x y))) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(+ y (* -1 (* x y))) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(+ y (* -1 (* x y))) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(* -1 (* x y)) |
(-.f64 #s(literal 0 binary64) (fma.f64 y x #s(literal 0 binary64))) |
(* x (+ (* -1 y) (/ y x))) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(* x (+ (* -1 y) (/ y x))) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(* x (+ (* -1 y) (/ y x))) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(* -1 (* x y)) |
(-.f64 #s(literal 0 binary64) (fma.f64 y x #s(literal 0 binary64))) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(* y (- 1 x)) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(* y (- 1 x)) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(* y (- 1 x)) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(* y (- 1 x)) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(* y (- 1 x)) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(* y (- 1 x)) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(* y (- 1 x)) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(* y (- 1 x)) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(* y (- 1 x)) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(* y (- 1 x)) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(* y (- 1 x)) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(* y (- 1 x)) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
Compiled 10 111 to 907 computations (91% saved)
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 375 | 5 | 380 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 375 | 6 | 381 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (fma.f64 x (-.f64 z y) y) |
| ▶ | 39.7% | (fma.f64 x z #s(literal 0 binary64)) |
| ✓ | 98.0% | (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) |
| ▶ | 98.8% | (+.f64 y (fma.f64 y (-.f64 #s(literal 0 binary64) x) (*.f64 x z))) |
| ▶ | 70.5% | (+.f64 y (*.f64 x z)) |
| ▶ | 33.3% | y |
Compiled 94 to 60 computations (36.2% saved)
| 1× | egg-herbie |
Found 9 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | -64 | (*.f64 x z) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 0 binary64) x) |
| ✓ | cost-diff | 192 | (+.f64 y (fma.f64 y (-.f64 #s(literal 0 binary64) x) (*.f64 x z))) |
| ✓ | cost-diff | 384 | (fma.f64 y (-.f64 #s(literal 0 binary64) x) (*.f64 x z)) |
| ✓ | cost-diff | -64 | (*.f64 x z) |
| ✓ | cost-diff | 192 | (+.f64 y (*.f64 x z)) |
| ✓ | cost-diff | 0 | (fma.f64 x z #s(literal 0 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 z y) |
| ✓ | cost-diff | 0 | (fma.f64 x (-.f64 z y) y) |
| 608× | accelerator-lowering-fma.f32 |
| 608× | accelerator-lowering-fma.f64 |
| 240× | *-lowering-*.f32 |
| 240× | *-lowering-*.f64 |
| 152× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 55 |
| 1 | 29 | 55 |
| 2 | 71 | 52 |
| 3 | 106 | 52 |
| 4 | 175 | 52 |
| 5 | 301 | 52 |
| 6 | 446 | 52 |
| 7 | 549 | 52 |
| 8 | 666 | 52 |
| 9 | 680 | 52 |
| 0 | 680 | 49 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+ (* x (- z y)) y) |
x |
(- z y) |
z |
y |
y |
(+ (* x z) 0) |
x |
z |
0 |
(+ y (* x z)) |
y |
(* x z) |
x |
z |
(+ y (+ (* y (- 0 x)) (* x z))) |
y |
(+ (* y (- 0 x)) (* x z)) |
(- 0 x) |
0 |
x |
(* x z) |
z |
| Outputs |
|---|
(+ (* x (- z y)) y) |
(fma.f64 x (-.f64 z y) y) |
x |
(- z y) |
(-.f64 z y) |
z |
y |
y |
(+ (* x z) 0) |
(fma.f64 x z #s(literal 0 binary64)) |
x |
z |
0 |
#s(literal 0 binary64) |
(+ y (* x z)) |
(fma.f64 x z y) |
y |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
x |
z |
(+ y (+ (* y (- 0 x)) (* x z))) |
(fma.f64 x (-.f64 z y) y) |
y |
(+ (* y (- 0 x)) (* x z)) |
(fma.f64 x (-.f64 z y) #s(literal 0 binary64)) |
(- 0 x) |
(-.f64 #s(literal 0 binary64) x) |
0 |
#s(literal 0 binary64) |
x |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
z |
Found 9 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 0 binary64) x) |
| ✓ | accuracy | 100.0% | (+.f64 y (fma.f64 y (-.f64 #s(literal 0 binary64) x) (*.f64 x z))) |
| ✓ | accuracy | 100.0% | (*.f64 x z) |
| ✓ | accuracy | 98.8% | (fma.f64 y (-.f64 #s(literal 0 binary64) x) (*.f64 x z)) |
| ✓ | accuracy | 100.0% | (*.f64 x z) |
| ✓ | accuracy | 100.0% | (+.f64 y (*.f64 x z)) |
| ✓ | accuracy | 100.0% | (fma.f64 x z #s(literal 0 binary64)) |
| ✓ | accuracy | 100.0% | (-.f64 z y) |
| ✓ | accuracy | 100.0% | (fma.f64 x (-.f64 z y) y) |
| 33.0ms | 256× | 0 | valid |
Compiled 61 to 16 computations (73.8% saved)
ival-mult: 11.0ms (56.7% of total)ival-add: 5.0ms (25.8% of total)ival-sub: 3.0ms (15.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* x (- z y)) y)> |
#<alt (- z y)> |
#<alt (+ (* x z) 0)> |
#<alt (+ y (* x z))> |
#<alt (* x z)> |
#<alt (+ (* y (- 0 x)) (* x z))> |
#<alt (+ y (+ (* y (- 0 x)) (* x z)))> |
#<alt (- 0 x)> |
| Outputs |
|---|
#<alt y> |
#<alt (+ y (* x (- z y)))> |
#<alt (+ y (* x (- z y)))> |
#<alt (+ y (* x (- z y)))> |
#<alt (* x (- z y))> |
#<alt (* x (- (+ z (/ y x)) y))> |
#<alt (* x (- (+ z (/ y x)) y))> |
#<alt (* x (- (+ z (/ y x)) y))> |
#<alt (* x (- z y))> |
#<alt (* -1 (* x (+ (* -1 (- z y)) (* -1 (/ y x)))))> |
#<alt (* -1 (* x (+ (* -1 (- z y)) (* -1 (/ y x)))))> |
#<alt (* -1 (* x (+ (* -1 (- z y)) (* -1 (/ y x)))))> |
#<alt (+ y (* -1 (* x y)))> |
#<alt (+ y (+ (* -1 (* x y)) (* x z)))> |
#<alt (+ y (+ (* -1 (* x y)) (* x z)))> |
#<alt (+ y (+ (* -1 (* x y)) (* x z)))> |
#<alt (* x z)> |
#<alt (* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z))))> |
#<alt (* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z))))> |
#<alt (* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z))))> |
#<alt (* x z)> |
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (+ y (* -1 (* x y))) z)))))> |
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (+ y (* -1 (* x y))) z)))))> |
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (+ y (* -1 (* x y))) z)))))> |
#<alt (* x z)> |
#<alt (+ (* x z) (* y (+ 1 (* -1 x))))> |
#<alt (+ (* x z) (* y (+ 1 (* -1 x))))> |
#<alt (+ (* x z) (* y (+ 1 (* -1 x))))> |
#<alt (* y (+ 1 (* -1 x)))> |
#<alt (* y (+ 1 (+ (* -1 x) (/ (* x z) y))))> |
#<alt (* y (+ 1 (+ (* -1 x) (/ (* x z) y))))> |
#<alt (* y (+ 1 (+ (* -1 x) (/ (* x z) y))))> |
#<alt (* -1 (* y (- x 1)))> |
#<alt (* -1 (* y (- (+ x (* -1 (/ (* x z) y))) 1)))> |
#<alt (* -1 (* y (- (+ x (* -1 (/ (* x z) y))) 1)))> |
#<alt (* -1 (* y (- (+ x (* -1 (/ (* x z) y))) 1)))> |
#<alt (* -1 y)> |
#<alt (- z y)> |
#<alt (- z y)> |
#<alt (- z y)> |
#<alt z> |
#<alt (* z (+ 1 (* -1 (/ y z))))> |
#<alt (* z (+ 1 (* -1 (/ y z))))> |
#<alt (* z (+ 1 (* -1 (/ y z))))> |
#<alt z> |
#<alt (* -1 (* z (- (/ y z) 1)))> |
#<alt (* -1 (* z (- (/ y z) 1)))> |
#<alt (* -1 (* z (- (/ y z) 1)))> |
#<alt z> |
#<alt (+ z (* -1 y))> |
#<alt (+ z (* -1 y))> |
#<alt (+ z (* -1 y))> |
#<alt (* -1 y)> |
#<alt (* y (- (/ z y) 1))> |
#<alt (* y (- (/ z y) 1))> |
#<alt (* y (- (/ z y) 1))> |
#<alt (* -1 y)> |
#<alt (* -1 (* y (+ 1 (* -1 (/ z y)))))> |
#<alt (* -1 (* y (+ 1 (* -1 (/ z y)))))> |
#<alt (* -1 (* y (+ 1 (* -1 (/ z y)))))> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (+ y (* x z))> |
#<alt (+ y (* x z))> |
#<alt (+ y (* x z))> |
#<alt y> |
#<alt (* y (+ 1 (/ (* x z) y)))> |
#<alt (* y (+ 1 (/ (* x z) y)))> |
#<alt (* y (+ 1 (/ (* x z) y)))> |
#<alt y> |
#<alt (* -1 (* y (- (* -1 (/ (* x z) y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ (* x z) y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ (* x z) y)) 1)))> |
#<alt y> |
#<alt (+ y (* x z))> |
#<alt (+ y (* x z))> |
#<alt (+ y (* x z))> |
#<alt (* x z)> |
#<alt (* x (+ z (/ y x)))> |
#<alt (* x (+ z (/ y x)))> |
#<alt (* x (+ z (/ y x)))> |
#<alt (* x z)> |
#<alt (* -1 (* x (+ (* -1 z) (* -1 (/ y x)))))> |
#<alt (* -1 (* x (+ (* -1 z) (* -1 (/ y x)))))> |
#<alt (* -1 (* x (+ (* -1 z) (* -1 (/ y x)))))> |
#<alt y> |
#<alt (+ y (* x z))> |
#<alt (+ y (* x z))> |
#<alt (+ y (* x z))> |
#<alt (* x z)> |
#<alt (* z (+ x (/ y z)))> |
#<alt (* z (+ x (/ y z)))> |
#<alt (* z (+ x (/ y z)))> |
#<alt (* x z)> |
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ y z)))))> |
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ y z)))))> |
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ y z)))))> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (+ (* -1 (* x y)) (* x z))> |
#<alt (+ (* -1 (* x y)) (* x z))> |
#<alt (+ (* -1 (* x y)) (* x z))> |
#<alt (* -1 (* x y))> |
#<alt (* y (+ (* -1 x) (/ (* x z) y)))> |
#<alt (* y (+ (* -1 x) (/ (* x z) y)))> |
#<alt (* y (+ (* -1 x) (/ (* x z) y)))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* y (+ x (* -1 (/ (* x z) y)))))> |
#<alt (* -1 (* y (+ x (* -1 (/ (* x z) y)))))> |
#<alt (* -1 (* y (+ x (* -1 (/ (* x z) y)))))> |
#<alt (* x (+ z (* -1 y)))> |
#<alt (* x (+ z (* -1 y)))> |
#<alt (* x (+ z (* -1 y)))> |
#<alt (* x (+ z (* -1 y)))> |
#<alt (* x (+ z (* -1 y)))> |
#<alt (* x (+ z (* -1 y)))> |
#<alt (* x (+ z (* -1 y)))> |
#<alt (* x (+ z (* -1 y)))> |
#<alt (* -1 (* x (+ y (* -1 z))))> |
#<alt (* -1 (* x (+ y (* -1 z))))> |
#<alt (* -1 (* x (+ y (* -1 z))))> |
#<alt (* -1 (* x (+ y (* -1 z))))> |
#<alt (* -1 (* x y))> |
#<alt (+ (* -1 (* x y)) (* x z))> |
#<alt (+ (* -1 (* x y)) (* x z))> |
#<alt (+ (* -1 (* x y)) (* x z))> |
#<alt (* x z)> |
#<alt (* z (+ x (* -1 (/ (* x y) z))))> |
#<alt (* z (+ x (* -1 (/ (* x y) z))))> |
#<alt (* z (+ x (* -1 (/ (* x y) z))))> |
#<alt (* x z)> |
#<alt (* -1 (* z (+ (* -1 x) (/ (* x y) z))))> |
#<alt (* -1 (* z (+ (* -1 x) (/ (* x y) z))))> |
#<alt (* -1 (* z (+ (* -1 x) (/ (* x y) z))))> |
#<alt (* x z)> |
#<alt (+ (* x z) (* y (+ 1 (* -1 x))))> |
#<alt (+ (* x z) (* y (+ 1 (* -1 x))))> |
#<alt (+ (* x z) (* y (+ 1 (* -1 x))))> |
#<alt (* y (+ 1 (* -1 x)))> |
#<alt (* y (+ 1 (+ (* -1 x) (/ (* x z) y))))> |
#<alt (* y (+ 1 (+ (* -1 x) (/ (* x z) y))))> |
#<alt (* y (+ 1 (+ (* -1 x) (/ (* x z) y))))> |
#<alt (* -1 (* y (- x 1)))> |
#<alt (* -1 (* y (- (+ x (* -1 (/ (* x z) y))) 1)))> |
#<alt (* -1 (* y (- (+ x (* -1 (/ (* x z) y))) 1)))> |
#<alt (* -1 (* y (- (+ x (* -1 (/ (* x z) y))) 1)))> |
#<alt y> |
#<alt (+ y (* x (+ z (* -1 y))))> |
#<alt (+ y (* x (+ z (* -1 y))))> |
#<alt (+ y (* x (+ z (* -1 y))))> |
#<alt (* x (+ z (* -1 y)))> |
#<alt (* x (+ z (+ (* -1 y) (/ y x))))> |
#<alt (* x (+ z (+ (* -1 y) (/ y x))))> |
#<alt (* x (+ z (+ (* -1 y) (/ y x))))> |
#<alt (* -1 (* x (+ y (* -1 z))))> |
#<alt (* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x))))))> |
#<alt (* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x))))))> |
#<alt (* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x))))))> |
#<alt (+ y (* -1 (* x y)))> |
#<alt (+ y (+ (* -1 (* x y)) (* x z)))> |
#<alt (+ y (+ (* -1 (* x y)) (* x z)))> |
#<alt (+ y (+ (* -1 (* x y)) (* x z)))> |
#<alt (* x z)> |
#<alt (* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z))))> |
#<alt (* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z))))> |
#<alt (* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z))))> |
#<alt (* x z)> |
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (+ y (* -1 (* x y))) z)))))> |
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (+ y (* -1 (* x y))) z)))))> |
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (+ y (* -1 (* x y))) z)))))> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
57 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | y | @ | 0 | (+ (* y (- 0 x)) (* x z)) |
| 1.0ms | x | @ | 0 | (+ (* y (- 0 x)) (* x z)) |
| 0.0ms | x | @ | -inf | (+ (* x (- z y)) y) |
| 0.0ms | z | @ | -inf | (+ (* x (- z y)) y) |
| 0.0ms | z | @ | inf | (+ (* x (- z y)) y) |
| 1× | batch-egg-rewrite |
| 9 438× | accelerator-lowering-fma.f32 |
| 9 438× | accelerator-lowering-fma.f64 |
| 3 796× | /-lowering-/.f32 |
| 3 796× | /-lowering-/.f64 |
| 3 484× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 38 |
| 1 | 102 | 38 |
| 2 | 1056 | 35 |
| 0 | 8723 | 32 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* x (- z y)) y) |
(- z y) |
(+ (* x z) 0) |
(+ y (* x z)) |
(* x z) |
(+ (* y (- 0 x)) (* x z)) |
(+ y (+ (* y (- 0 x)) (* x z))) |
(- 0 x) |
| Outputs |
|---|
(+.f64 y (fma.f64 x (-.f64 z y) #s(literal 0 binary64))) |
(+.f64 (fma.f64 x z #s(literal 0 binary64)) (-.f64 y (*.f64 x y))) |
(+.f64 (fma.f64 x z y) (-.f64 #s(literal 0 binary64) (*.f64 x y))) |
(+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (fma.f64 x z y)) |
(+.f64 (fma.f64 x (-.f64 z y) #s(literal 0 binary64)) y) |
(+.f64 (fma.f64 x (-.f64 z y) y) #s(literal 0 binary64)) |
(+.f64 (-.f64 y (*.f64 x y)) (fma.f64 x z #s(literal 0 binary64))) |
(+.f64 (/.f64 (*.f64 y y) (-.f64 y (fma.f64 x (-.f64 z y) #s(literal 0 binary64)))) (neg.f64 (/.f64 (*.f64 (fma.f64 x (-.f64 z y) #s(literal 0 binary64)) (fma.f64 x (-.f64 z y) #s(literal 0 binary64))) (-.f64 y (fma.f64 x (-.f64 z y) #s(literal 0 binary64)))))) |
(+.f64 (/.f64 (*.f64 (fma.f64 x (-.f64 z y) #s(literal 0 binary64)) (fma.f64 x (-.f64 z y) #s(literal 0 binary64))) (fma.f64 x (-.f64 z y) (-.f64 #s(literal 0 binary64) y))) (neg.f64 (/.f64 (*.f64 y y) (fma.f64 x (-.f64 z y) (-.f64 #s(literal 0 binary64) y))))) |
(-.f64 (fma.f64 x z y) (*.f64 x y)) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y (fma.f64 x (-.f64 z y) #s(literal 0 binary64)))) (/.f64 (*.f64 (fma.f64 x (-.f64 z y) #s(literal 0 binary64)) (fma.f64 x (-.f64 z y) #s(literal 0 binary64))) (-.f64 y (fma.f64 x (-.f64 z y) #s(literal 0 binary64))))) |
(-.f64 (/.f64 (*.f64 (fma.f64 x (-.f64 z y) #s(literal 0 binary64)) (fma.f64 x (-.f64 z y) #s(literal 0 binary64))) (fma.f64 x (-.f64 z y) (-.f64 #s(literal 0 binary64) y))) (/.f64 (*.f64 y y) (fma.f64 x (-.f64 z y) (-.f64 #s(literal 0 binary64) y)))) |
(-.f64 (/.f64 (*.f64 (-.f64 y (*.f64 x y)) (-.f64 y (*.f64 x y))) (-.f64 (-.f64 y (*.f64 x y)) (fma.f64 x z #s(literal 0 binary64)))) (/.f64 (fma.f64 (fma.f64 x z #s(literal 0 binary64)) (fma.f64 x z #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 (-.f64 y (*.f64 x y)) (fma.f64 x z #s(literal 0 binary64))))) |
(fma.f64 x z (-.f64 y (*.f64 x y))) |
(fma.f64 x (-.f64 z y) y) |
(fma.f64 x (-.f64 #s(literal 0 binary64) y) (fma.f64 x z y)) |
(fma.f64 x (/.f64 (*.f64 z (*.f64 z z)) (*.f64 z z)) (-.f64 y (*.f64 x y))) |
(fma.f64 x (/.f64 (*.f64 z z) z) (-.f64 y (*.f64 x y))) |
(fma.f64 z x (-.f64 y (*.f64 x y))) |
(fma.f64 y (-.f64 #s(literal 0 binary64) x) (fma.f64 x z y)) |
(fma.f64 (-.f64 z y) x y) |
(fma.f64 (fma.f64 x z #s(literal 0 binary64)) (/.f64 (fma.f64 x z #s(literal 0 binary64)) (fma.f64 x z #s(literal 0 binary64))) (-.f64 y (*.f64 x y))) |
(fma.f64 (-.f64 #s(literal 0 binary64) x) y (fma.f64 x z y)) |
(fma.f64 (fma.f64 (fma.f64 x z #s(literal 0 binary64)) (fma.f64 (fma.f64 x z #s(literal 0 binary64)) (fma.f64 x z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x z #s(literal 0 binary64)) (fma.f64 x z #s(literal 0 binary64)) #s(literal 0 binary64))) (-.f64 y (*.f64 x y))) |
(fma.f64 (fma.f64 (fma.f64 x z #s(literal 0 binary64)) (fma.f64 x z #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x z #s(literal 0 binary64))) (-.f64 y (*.f64 x y))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 x (-.f64 z y) #s(literal 0 binary64)) (fma.f64 x (-.f64 z y) (-.f64 #s(literal 0 binary64) y)) (*.f64 y y)) (fma.f64 x (-.f64 z y) y)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (-.f64 z y) #s(literal 0 binary64)) (fma.f64 x (-.f64 z y) (-.f64 #s(literal 0 binary64) y)) (*.f64 y y))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 x (-.f64 z y) #s(literal 0 binary64)) (fma.f64 x (-.f64 z y) (-.f64 #s(literal 0 binary64) y)) (*.f64 y y)) (fma.f64 x (-.f64 z y) y)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (-.f64 z y) (fma.f64 x (-.f64 z y) #s(literal 0 binary64))) (*.f64 y (-.f64 y (fma.f64 x (-.f64 z y) #s(literal 0 binary64)))))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (-.f64 y (fma.f64 x (-.f64 z y) #s(literal 0 binary64)))) (neg.f64 (/.f64 (*.f64 (fma.f64 x (-.f64 z y) #s(literal 0 binary64)) (fma.f64 x (-.f64 z y) #s(literal 0 binary64))) (-.f64 y (fma.f64 x (-.f64 z y) #s(literal 0 binary64)))))) |
(fma.f64 (*.f64 (fma.f64 x (-.f64 z y) #s(literal 0 binary64)) (fma.f64 x (-.f64 z y) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 z y) (-.f64 #s(literal 0 binary64) y))) (neg.f64 (/.f64 (*.f64 y y) (fma.f64 x (-.f64 z y) (-.f64 #s(literal 0 binary64) y))))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 x z #s(literal 0 binary64)) (fma.f64 x z (*.f64 x y)) (*.f64 (*.f64 y y) (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x (-.f64 z y) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x z #s(literal 0 binary64)) (fma.f64 x z (*.f64 x y)) (*.f64 (*.f64 y y) (fma.f64 x x #s(literal 0 binary64))))) y) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 x z #s(literal 0 binary64)) (fma.f64 x z (*.f64 x y)) (*.f64 (*.f64 y y) (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x (-.f64 z y) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 z (fma.f64 x z #s(literal 0 binary64))) (fma.f64 (*.f64 y y) (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 y (fma.f64 x z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))) y) |
(fma.f64 (*.f64 (fma.f64 y y (*.f64 (fma.f64 x z #s(literal 0 binary64)) (-.f64 (fma.f64 x z #s(literal 0 binary64)) y))) (fma.f64 x z y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 (fma.f64 x z #s(literal 0 binary64)) (-.f64 (fma.f64 x z #s(literal 0 binary64)) y)))) (-.f64 #s(literal 0 binary64) (*.f64 x y))) |
(fma.f64 (*.f64 (fma.f64 y y (*.f64 (fma.f64 x z #s(literal 0 binary64)) (-.f64 (fma.f64 x z #s(literal 0 binary64)) y))) (fma.f64 x z y)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 z (fma.f64 x z #s(literal 0 binary64))) (fma.f64 y y (fma.f64 (fma.f64 x z #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))))) (-.f64 #s(literal 0 binary64) (*.f64 x y))) |
(fma.f64 (-.f64 #s(literal 0 binary64) y) x (fma.f64 x z y)) |
(fma.f64 (*.f64 (fma.f64 x (-.f64 z y) y) (-.f64 y (fma.f64 x (-.f64 z y) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 y (fma.f64 x (-.f64 z y) #s(literal 0 binary64)))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (fma.f64 x (-.f64 z y) y) (fma.f64 x (-.f64 z y) (-.f64 #s(literal 0 binary64) y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 z y) (-.f64 #s(literal 0 binary64) y))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (fma.f64 x (-.f64 z y) #s(literal 0 binary64)) (neg.f64 (fma.f64 x y (fma.f64 x z #s(literal 0 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 x y (fma.f64 x z #s(literal 0 binary64)))) y) |
(fma.f64 (*.f64 (fma.f64 x z y) (-.f64 y (fma.f64 x z #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 y (fma.f64 x z #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 x y))) |
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (fma.f64 x (-.f64 z y) #s(literal 0 binary64)) (fma.f64 x (-.f64 z y) (-.f64 #s(literal 0 binary64) y)) (*.f64 y y)) (fma.f64 x (-.f64 z y) y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x (-.f64 z y) #s(literal 0 binary64)) (fma.f64 x (-.f64 z y) (-.f64 #s(literal 0 binary64) y)) (*.f64 y y)))) #s(literal 0 binary64)) |
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (fma.f64 x (-.f64 z y) #s(literal 0 binary64)) (fma.f64 x (-.f64 z y) (-.f64 #s(literal 0 binary64) y)) (*.f64 y y)) (fma.f64 x (-.f64 z y) y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 (-.f64 z y) (fma.f64 x (-.f64 z y) #s(literal 0 binary64))) (*.f64 y (-.f64 y (fma.f64 x (-.f64 z y) #s(literal 0 binary64))))))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (fma.f64 x (-.f64 z y) y) (+.f64 (-.f64 #s(literal 0 binary64) y) (fma.f64 x (-.f64 z y) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) y) (fma.f64 x (-.f64 z y) #s(literal 0 binary64)))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (fma.f64 x (-.f64 z y) y) (-.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 z y) (-.f64 #s(literal 0 binary64) y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 z y) (-.f64 #s(literal 0 binary64) y)))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 x z #s(literal 0 binary64)) (fma.f64 x z (*.f64 x y)) (*.f64 (*.f64 y y) (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 (-.f64 z y) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x z #s(literal 0 binary64)) (fma.f64 x z (*.f64 x y)) (*.f64 (*.f64 y y) (fma.f64 x x #s(literal 0 binary64)))))) y) |
(fma.f64 (*.f64 (fma.f64 x (-.f64 z y) #s(literal 0 binary64)) (fma.f64 x y (fma.f64 x z #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x y (fma.f64 x z #s(literal 0 binary64)))) y) |
(fma.f64 (*.f64 (fma.f64 y y (*.f64 (fma.f64 x z #s(literal 0 binary64)) (-.f64 (fma.f64 x z #s(literal 0 binary64)) y))) (neg.f64 (fma.f64 x z y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 (fma.f64 x z #s(literal 0 binary64)) (-.f64 (fma.f64 x z #s(literal 0 binary64)) y))))) (-.f64 #s(literal 0 binary64) (*.f64 x y))) |
(fma.f64 (*.f64 (fma.f64 x z y) (-.f64 #s(literal 0 binary64) (-.f64 y (fma.f64 x z #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 y (fma.f64 x z #s(literal 0 binary64))))) (-.f64 #s(literal 0 binary64) (*.f64 x y))) |
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x z #s(literal 0 binary64)) (fma.f64 (fma.f64 x z #s(literal 0 binary64)) (fma.f64 x z #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 z #s(literal 0 binary64)) (fma.f64 x z #s(literal 0 binary64)) #s(literal 0 binary64)))) (-.f64 y (*.f64 x y))) |
(fma.f64 (fma.f64 (-.f64 y (*.f64 x y)) (*.f64 (-.f64 y (*.f64 x y)) (-.f64 y (*.f64 x y))) (fma.f64 (fma.f64 x z #s(literal 0 binary64)) (fma.f64 (fma.f64 x z #s(literal 0 binary64)) (fma.f64 x z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y (*.f64 x y)) (-.f64 y (*.f64 x y)) (-.f64 (fma.f64 (fma.f64 x z #s(literal 0 binary64)) (fma.f64 x z #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (-.f64 y (*.f64 x y)) (fma.f64 x z #s(literal 0 binary64)))))) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 y (*.f64 y y) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (*.f64 (*.f64 y y) (fma.f64 x x #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 (*.f64 (*.f64 y y) (fma.f64 x x #s(literal 0 binary64))) (*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 x y)))))) (fma.f64 x z #s(literal 0 binary64))) |
(fma.f64 #s(literal 1 binary64) (fma.f64 x z #s(literal 0 binary64)) (-.f64 y (*.f64 x y))) |
(fma.f64 #s(literal 1 binary64) (fma.f64 x z y) (-.f64 #s(literal 0 binary64) (*.f64 x y))) |
(fma.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 z y) #s(literal 0 binary64)) y) |
(fma.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 z y) y) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x z #s(literal 0 binary64))) (fma.f64 (fma.f64 x z #s(literal 0 binary64)) (fma.f64 x z #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 y (*.f64 x y))) |
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(/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x x #s(literal 0 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (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))) |
(/.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 x x (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) |
(*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))) |
(*.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))) |
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 #s(literal -1 binary64) x) |
| 1× | egg-herbie |
| 7 574× | accelerator-lowering-fma.f32 |
| 7 574× | accelerator-lowering-fma.f64 |
| 2 820× | *-lowering-*.f32 |
| 2 820× | *-lowering-*.f64 |
| 1 736× | --lowering--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 100 | 1010 |
| 1 | 344 | 1004 |
| 2 | 953 | 1004 |
| 3 | 2373 | 1004 |
| 4 | 4490 | 1004 |
| 5 | 6227 | 1004 |
| 6 | 7538 | 1004 |
| 0 | 8032 | 923 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
y |
(+ y (* x (- z y))) |
(+ y (* x (- z y))) |
(+ y (* x (- z y))) |
(* x (- z y)) |
(* x (- (+ z (/ y x)) y)) |
(* x (- (+ z (/ y x)) y)) |
(* x (- (+ z (/ y x)) y)) |
(* x (- z y)) |
(* -1 (* x (+ (* -1 (- z y)) (* -1 (/ y x))))) |
(* -1 (* x (+ (* -1 (- z y)) (* -1 (/ y x))))) |
(* -1 (* x (+ (* -1 (- z y)) (* -1 (/ y x))))) |
(+ y (* -1 (* x y))) |
(+ y (+ (* -1 (* x y)) (* x z))) |
(+ y (+ (* -1 (* x y)) (* x z))) |
(+ y (+ (* -1 (* x y)) (* x z))) |
(* x z) |
(* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z)))) |
(* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z)))) |
(* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z)))) |
(* x z) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (+ y (* -1 (* x y))) z))))) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (+ y (* -1 (* x y))) z))))) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (+ y (* -1 (* x y))) z))))) |
(* x z) |
(+ (* x z) (* y (+ 1 (* -1 x)))) |
(+ (* x z) (* y (+ 1 (* -1 x)))) |
(+ (* x z) (* y (+ 1 (* -1 x)))) |
(* y (+ 1 (* -1 x))) |
(* y (+ 1 (+ (* -1 x) (/ (* x z) y)))) |
(* y (+ 1 (+ (* -1 x) (/ (* x z) y)))) |
(* y (+ 1 (+ (* -1 x) (/ (* x z) y)))) |
(* -1 (* y (- x 1))) |
(* -1 (* y (- (+ x (* -1 (/ (* x z) y))) 1))) |
(* -1 (* y (- (+ x (* -1 (/ (* x z) y))) 1))) |
(* -1 (* y (- (+ x (* -1 (/ (* x z) y))) 1))) |
(* -1 y) |
(- z y) |
(- z y) |
(- z y) |
z |
(* z (+ 1 (* -1 (/ y z)))) |
(* z (+ 1 (* -1 (/ y z)))) |
(* z (+ 1 (* -1 (/ y z)))) |
z |
(* -1 (* z (- (/ y z) 1))) |
(* -1 (* z (- (/ y z) 1))) |
(* -1 (* z (- (/ y z) 1))) |
z |
(+ z (* -1 y)) |
(+ z (* -1 y)) |
(+ z (* -1 y)) |
(* -1 y) |
(* y (- (/ z y) 1)) |
(* y (- (/ z y) 1)) |
(* y (- (/ z y) 1)) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ z y))))) |
(* -1 (* y (+ 1 (* -1 (/ z y))))) |
(* -1 (* y (+ 1 (* -1 (/ z y))))) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(+ y (* x z)) |
(+ y (* x z)) |
(+ y (* x z)) |
y |
(* y (+ 1 (/ (* x z) y))) |
(* y (+ 1 (/ (* x z) y))) |
(* y (+ 1 (/ (* x z) y))) |
y |
(* -1 (* y (- (* -1 (/ (* x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (* x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (* x z) y)) 1))) |
y |
(+ y (* x z)) |
(+ y (* x z)) |
(+ y (* x z)) |
(* x z) |
(* x (+ z (/ y x))) |
(* x (+ z (/ y x))) |
(* x (+ z (/ y x))) |
(* x z) |
(* -1 (* x (+ (* -1 z) (* -1 (/ y x))))) |
(* -1 (* x (+ (* -1 z) (* -1 (/ y x))))) |
(* -1 (* x (+ (* -1 z) (* -1 (/ y x))))) |
y |
(+ y (* x z)) |
(+ y (* x z)) |
(+ y (* x z)) |
(* x z) |
(* z (+ x (/ y z))) |
(* z (+ x (/ y z))) |
(* z (+ x (/ y z))) |
(* x z) |
(* -1 (* z (+ (* -1 x) (* -1 (/ y z))))) |
(* -1 (* z (+ (* -1 x) (* -1 (/ y z))))) |
(* -1 (* z (+ (* -1 x) (* -1 (/ y z))))) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(+ (* -1 (* x y)) (* x z)) |
(+ (* -1 (* x y)) (* x z)) |
(+ (* -1 (* x y)) (* x z)) |
(* -1 (* x y)) |
(* y (+ (* -1 x) (/ (* x z) y))) |
(* y (+ (* -1 x) (/ (* x z) y))) |
(* y (+ (* -1 x) (/ (* x z) y))) |
(* -1 (* x y)) |
(* -1 (* y (+ x (* -1 (/ (* x z) y))))) |
(* -1 (* y (+ x (* -1 (/ (* x z) y))))) |
(* -1 (* y (+ x (* -1 (/ (* x z) y))))) |
(* x (+ z (* -1 y))) |
(* x (+ z (* -1 y))) |
(* x (+ z (* -1 y))) |
(* x (+ z (* -1 y))) |
(* x (+ z (* -1 y))) |
(* x (+ z (* -1 y))) |
(* x (+ z (* -1 y))) |
(* x (+ z (* -1 y))) |
(* -1 (* x (+ y (* -1 z)))) |
(* -1 (* x (+ y (* -1 z)))) |
(* -1 (* x (+ y (* -1 z)))) |
(* -1 (* x (+ y (* -1 z)))) |
(* -1 (* x y)) |
(+ (* -1 (* x y)) (* x z)) |
(+ (* -1 (* x y)) (* x z)) |
(+ (* -1 (* x y)) (* x z)) |
(* x z) |
(* z (+ x (* -1 (/ (* x y) z)))) |
(* z (+ x (* -1 (/ (* x y) z)))) |
(* z (+ x (* -1 (/ (* x y) z)))) |
(* x z) |
(* -1 (* z (+ (* -1 x) (/ (* x y) z)))) |
(* -1 (* z (+ (* -1 x) (/ (* x y) z)))) |
(* -1 (* z (+ (* -1 x) (/ (* x y) z)))) |
(* x z) |
(+ (* x z) (* y (+ 1 (* -1 x)))) |
(+ (* x z) (* y (+ 1 (* -1 x)))) |
(+ (* x z) (* y (+ 1 (* -1 x)))) |
(* y (+ 1 (* -1 x))) |
(* y (+ 1 (+ (* -1 x) (/ (* x z) y)))) |
(* y (+ 1 (+ (* -1 x) (/ (* x z) y)))) |
(* y (+ 1 (+ (* -1 x) (/ (* x z) y)))) |
(* -1 (* y (- x 1))) |
(* -1 (* y (- (+ x (* -1 (/ (* x z) y))) 1))) |
(* -1 (* y (- (+ x (* -1 (/ (* x z) y))) 1))) |
(* -1 (* y (- (+ x (* -1 (/ (* x z) y))) 1))) |
y |
(+ y (* x (+ z (* -1 y)))) |
(+ y (* x (+ z (* -1 y)))) |
(+ y (* x (+ z (* -1 y)))) |
(* x (+ z (* -1 y))) |
(* x (+ z (+ (* -1 y) (/ y x)))) |
(* x (+ z (+ (* -1 y) (/ y x)))) |
(* x (+ z (+ (* -1 y) (/ y x)))) |
(* -1 (* x (+ y (* -1 z)))) |
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) |
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) |
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) |
(+ y (* -1 (* x y))) |
(+ y (+ (* -1 (* x y)) (* x z))) |
(+ y (+ (* -1 (* x y)) (* x z))) |
(+ y (+ (* -1 (* x y)) (* x z))) |
(* x z) |
(* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z)))) |
(* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z)))) |
(* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z)))) |
(* x z) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (+ y (* -1 (* x y))) z))))) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (+ y (* -1 (* x y))) z))))) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (+ y (* -1 (* x y))) z))))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
| Outputs |
|---|
y |
(+ y (* x (- z y))) |
(fma.f64 x (-.f64 z y) y) |
(+ y (* x (- z y))) |
(fma.f64 x (-.f64 z y) y) |
(+ y (* x (- z y))) |
(fma.f64 x (-.f64 z y) y) |
(* x (- z y)) |
(fma.f64 x (-.f64 z y) #s(literal 0 binary64)) |
(* x (- (+ z (/ y x)) y)) |
(fma.f64 x (-.f64 z y) y) |
(* x (- (+ z (/ y x)) y)) |
(fma.f64 x (-.f64 z y) y) |
(* x (- (+ z (/ y x)) y)) |
(fma.f64 x (-.f64 z y) y) |
(* x (- z y)) |
(fma.f64 x (-.f64 z y) #s(literal 0 binary64)) |
(* -1 (* x (+ (* -1 (- z y)) (* -1 (/ y x))))) |
(fma.f64 x (-.f64 z y) y) |
(* -1 (* x (+ (* -1 (- z y)) (* -1 (/ y x))))) |
(fma.f64 x (-.f64 z y) y) |
(* -1 (* x (+ (* -1 (- z y)) (* -1 (/ y x))))) |
(fma.f64 x (-.f64 z y) y) |
(+ y (* -1 (* x y))) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(+ y (+ (* -1 (* x y)) (* x z))) |
(fma.f64 x (-.f64 z y) y) |
(+ y (+ (* -1 (* x y)) (* x z))) |
(fma.f64 x (-.f64 z y) y) |
(+ y (+ (* -1 (* x y)) (* x z))) |
(fma.f64 x (-.f64 z y) y) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z)))) |
(fma.f64 x (-.f64 z y) y) |
(* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z)))) |
(fma.f64 x (-.f64 z y) y) |
(* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z)))) |
(fma.f64 x (-.f64 z y) y) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (+ y (* -1 (* x y))) z))))) |
(fma.f64 x (-.f64 z y) y) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (+ y (* -1 (* x y))) z))))) |
(fma.f64 x (-.f64 z y) y) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (+ y (* -1 (* x y))) z))))) |
(fma.f64 x (-.f64 z y) y) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(+ (* x z) (* y (+ 1 (* -1 x)))) |
(fma.f64 x (-.f64 z y) y) |
(+ (* x z) (* y (+ 1 (* -1 x)))) |
(fma.f64 x (-.f64 z y) y) |
(+ (* x z) (* y (+ 1 (* -1 x)))) |
(fma.f64 x (-.f64 z y) y) |
(* y (+ 1 (* -1 x))) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(* y (+ 1 (+ (* -1 x) (/ (* x z) y)))) |
(fma.f64 x (-.f64 z y) y) |
(* y (+ 1 (+ (* -1 x) (/ (* x z) y)))) |
(fma.f64 x (-.f64 z y) y) |
(* y (+ 1 (+ (* -1 x) (/ (* x z) y)))) |
(fma.f64 x (-.f64 z y) y) |
(* -1 (* y (- x 1))) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(* -1 (* y (- (+ x (* -1 (/ (* x z) y))) 1))) |
(fma.f64 x (-.f64 z y) y) |
(* -1 (* y (- (+ x (* -1 (/ (* x z) y))) 1))) |
(fma.f64 x (-.f64 z y) y) |
(* -1 (* y (- (+ x (* -1 (/ (* x z) y))) 1))) |
(fma.f64 x (-.f64 z y) y) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(- z y) |
(-.f64 z y) |
(- z y) |
(-.f64 z y) |
(- z y) |
(-.f64 z y) |
z |
(* z (+ 1 (* -1 (/ y z)))) |
(-.f64 z y) |
(* z (+ 1 (* -1 (/ y z)))) |
(-.f64 z y) |
(* z (+ 1 (* -1 (/ y z)))) |
(-.f64 z y) |
z |
(* -1 (* z (- (/ y z) 1))) |
(-.f64 z y) |
(* -1 (* z (- (/ y z) 1))) |
(-.f64 z y) |
(* -1 (* z (- (/ y z) 1))) |
(-.f64 z y) |
z |
(+ z (* -1 y)) |
(-.f64 z y) |
(+ z (* -1 y)) |
(-.f64 z y) |
(+ z (* -1 y)) |
(-.f64 z y) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* y (- (/ z y) 1)) |
(-.f64 z y) |
(* y (- (/ z y) 1)) |
(-.f64 z y) |
(* y (- (/ z y) 1)) |
(-.f64 z y) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* -1 (* y (+ 1 (* -1 (/ z y))))) |
(-.f64 z y) |
(* -1 (* y (+ 1 (* -1 (/ z y))))) |
(-.f64 z y) |
(* -1 (* y (+ 1 (* -1 (/ z y))))) |
(-.f64 z y) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(+ y (* x z)) |
(fma.f64 x z y) |
(+ y (* x z)) |
(fma.f64 x z y) |
(+ y (* x z)) |
(fma.f64 x z y) |
y |
(* y (+ 1 (/ (* x z) y))) |
(fma.f64 x z y) |
(* y (+ 1 (/ (* x z) y))) |
(fma.f64 x z y) |
(* y (+ 1 (/ (* x z) y))) |
(fma.f64 x z y) |
y |
(* -1 (* y (- (* -1 (/ (* x z) y)) 1))) |
(fma.f64 x z y) |
(* -1 (* y (- (* -1 (/ (* x z) y)) 1))) |
(fma.f64 x z y) |
(* -1 (* y (- (* -1 (/ (* x z) y)) 1))) |
(fma.f64 x z y) |
y |
(+ y (* x z)) |
(fma.f64 x z y) |
(+ y (* x z)) |
(fma.f64 x z y) |
(+ y (* x z)) |
(fma.f64 x z y) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x (+ z (/ y x))) |
(fma.f64 x z y) |
(* x (+ z (/ y x))) |
(fma.f64 x z y) |
(* x (+ z (/ y x))) |
(fma.f64 x z y) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* -1 (* x (+ (* -1 z) (* -1 (/ y x))))) |
(fma.f64 x z y) |
(* -1 (* x (+ (* -1 z) (* -1 (/ y x))))) |
(fma.f64 x z y) |
(* -1 (* x (+ (* -1 z) (* -1 (/ y x))))) |
(fma.f64 x z y) |
y |
(+ y (* x z)) |
(fma.f64 x z y) |
(+ y (* x z)) |
(fma.f64 x z y) |
(+ y (* x z)) |
(fma.f64 x z y) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* z (+ x (/ y z))) |
(fma.f64 x z y) |
(* z (+ x (/ y z))) |
(fma.f64 x z y) |
(* z (+ x (/ y z))) |
(fma.f64 x z y) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* -1 (* z (+ (* -1 x) (* -1 (/ y z))))) |
(fma.f64 x z y) |
(* -1 (* z (+ (* -1 x) (* -1 (/ y z))))) |
(fma.f64 x z y) |
(* -1 (* z (+ (* -1 x) (* -1 (/ y z))))) |
(fma.f64 x z y) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(+ (* -1 (* x y)) (* x z)) |
(fma.f64 x (-.f64 z y) #s(literal 0 binary64)) |
(+ (* -1 (* x y)) (* x z)) |
(fma.f64 x (-.f64 z y) #s(literal 0 binary64)) |
(+ (* -1 (* x y)) (* x z)) |
(fma.f64 x (-.f64 z y) #s(literal 0 binary64)) |
(* -1 (* x y)) |
(-.f64 #s(literal 0 binary64) (fma.f64 y x #s(literal 0 binary64))) |
(* y (+ (* -1 x) (/ (* x z) y))) |
(fma.f64 x (-.f64 z y) #s(literal 0 binary64)) |
(* y (+ (* -1 x) (/ (* x z) y))) |
(fma.f64 x (-.f64 z y) #s(literal 0 binary64)) |
(* y (+ (* -1 x) (/ (* x z) y))) |
(fma.f64 x (-.f64 z y) #s(literal 0 binary64)) |
(* -1 (* x y)) |
(-.f64 #s(literal 0 binary64) (fma.f64 y x #s(literal 0 binary64))) |
(* -1 (* y (+ x (* -1 (/ (* x z) y))))) |
(fma.f64 x (-.f64 z y) #s(literal 0 binary64)) |
(* -1 (* y (+ x (* -1 (/ (* x z) y))))) |
(fma.f64 x (-.f64 z y) #s(literal 0 binary64)) |
(* -1 (* y (+ x (* -1 (/ (* x z) y))))) |
(fma.f64 x (-.f64 z y) #s(literal 0 binary64)) |
(* x (+ z (* -1 y))) |
(fma.f64 x (-.f64 z y) #s(literal 0 binary64)) |
(* x (+ z (* -1 y))) |
(fma.f64 x (-.f64 z y) #s(literal 0 binary64)) |
(* x (+ z (* -1 y))) |
(fma.f64 x (-.f64 z y) #s(literal 0 binary64)) |
(* x (+ z (* -1 y))) |
(fma.f64 x (-.f64 z y) #s(literal 0 binary64)) |
(* x (+ z (* -1 y))) |
(fma.f64 x (-.f64 z y) #s(literal 0 binary64)) |
(* x (+ z (* -1 y))) |
(fma.f64 x (-.f64 z y) #s(literal 0 binary64)) |
(* x (+ z (* -1 y))) |
(fma.f64 x (-.f64 z y) #s(literal 0 binary64)) |
(* x (+ z (* -1 y))) |
(fma.f64 x (-.f64 z y) #s(literal 0 binary64)) |
(* -1 (* x (+ y (* -1 z)))) |
(fma.f64 x (-.f64 z y) #s(literal 0 binary64)) |
(* -1 (* x (+ y (* -1 z)))) |
(fma.f64 x (-.f64 z y) #s(literal 0 binary64)) |
(* -1 (* x (+ y (* -1 z)))) |
(fma.f64 x (-.f64 z y) #s(literal 0 binary64)) |
(* -1 (* x (+ y (* -1 z)))) |
(fma.f64 x (-.f64 z y) #s(literal 0 binary64)) |
(* -1 (* x y)) |
(-.f64 #s(literal 0 binary64) (fma.f64 y x #s(literal 0 binary64))) |
(+ (* -1 (* x y)) (* x z)) |
(fma.f64 x (-.f64 z y) #s(literal 0 binary64)) |
(+ (* -1 (* x y)) (* x z)) |
(fma.f64 x (-.f64 z y) #s(literal 0 binary64)) |
(+ (* -1 (* x y)) (* x z)) |
(fma.f64 x (-.f64 z y) #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* z (+ x (* -1 (/ (* x y) z)))) |
(fma.f64 x (-.f64 z y) #s(literal 0 binary64)) |
(* z (+ x (* -1 (/ (* x y) z)))) |
(fma.f64 x (-.f64 z y) #s(literal 0 binary64)) |
(* z (+ x (* -1 (/ (* x y) z)))) |
(fma.f64 x (-.f64 z y) #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* -1 (* z (+ (* -1 x) (/ (* x y) z)))) |
(fma.f64 x (-.f64 z y) #s(literal 0 binary64)) |
(* -1 (* z (+ (* -1 x) (/ (* x y) z)))) |
(fma.f64 x (-.f64 z y) #s(literal 0 binary64)) |
(* -1 (* z (+ (* -1 x) (/ (* x y) z)))) |
(fma.f64 x (-.f64 z y) #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(+ (* x z) (* y (+ 1 (* -1 x)))) |
(fma.f64 x (-.f64 z y) y) |
(+ (* x z) (* y (+ 1 (* -1 x)))) |
(fma.f64 x (-.f64 z y) y) |
(+ (* x z) (* y (+ 1 (* -1 x)))) |
(fma.f64 x (-.f64 z y) y) |
(* y (+ 1 (* -1 x))) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(* y (+ 1 (+ (* -1 x) (/ (* x z) y)))) |
(fma.f64 x (-.f64 z y) y) |
(* y (+ 1 (+ (* -1 x) (/ (* x z) y)))) |
(fma.f64 x (-.f64 z y) y) |
(* y (+ 1 (+ (* -1 x) (/ (* x z) y)))) |
(fma.f64 x (-.f64 z y) y) |
(* -1 (* y (- x 1))) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(* -1 (* y (- (+ x (* -1 (/ (* x z) y))) 1))) |
(fma.f64 x (-.f64 z y) y) |
(* -1 (* y (- (+ x (* -1 (/ (* x z) y))) 1))) |
(fma.f64 x (-.f64 z y) y) |
(* -1 (* y (- (+ x (* -1 (/ (* x z) y))) 1))) |
(fma.f64 x (-.f64 z y) y) |
y |
(+ y (* x (+ z (* -1 y)))) |
(fma.f64 x (-.f64 z y) y) |
(+ y (* x (+ z (* -1 y)))) |
(fma.f64 x (-.f64 z y) y) |
(+ y (* x (+ z (* -1 y)))) |
(fma.f64 x (-.f64 z y) y) |
(* x (+ z (* -1 y))) |
(fma.f64 x (-.f64 z y) #s(literal 0 binary64)) |
(* x (+ z (+ (* -1 y) (/ y x)))) |
(fma.f64 x (-.f64 z y) y) |
(* x (+ z (+ (* -1 y) (/ y x)))) |
(fma.f64 x (-.f64 z y) y) |
(* x (+ z (+ (* -1 y) (/ y x)))) |
(fma.f64 x (-.f64 z y) y) |
(* -1 (* x (+ y (* -1 z)))) |
(fma.f64 x (-.f64 z y) #s(literal 0 binary64)) |
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) |
(fma.f64 x (-.f64 z y) y) |
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) |
(fma.f64 x (-.f64 z y) y) |
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) |
(fma.f64 x (-.f64 z y) y) |
(+ y (* -1 (* x y))) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(+ y (+ (* -1 (* x y)) (* x z))) |
(fma.f64 x (-.f64 z y) y) |
(+ y (+ (* -1 (* x y)) (* x z))) |
(fma.f64 x (-.f64 z y) y) |
(+ y (+ (* -1 (* x y)) (* x z))) |
(fma.f64 x (-.f64 z y) y) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z)))) |
(fma.f64 x (-.f64 z y) y) |
(* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z)))) |
(fma.f64 x (-.f64 z y) y) |
(* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z)))) |
(fma.f64 x (-.f64 z y) y) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (+ y (* -1 (* x y))) z))))) |
(fma.f64 x (-.f64 z y) y) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (+ y (* -1 (* x y))) z))))) |
(fma.f64 x (-.f64 z y) y) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (+ y (* -1 (* x y))) z))))) |
(fma.f64 x (-.f64 z y) y) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
Compiled 44 296 to 2 342 computations (94.7% saved)
6 alts after pruning (4 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 638 | 4 | 1 642 |
| Fresh | 0 | 0 | 0 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 0 | 1 |
| Total | 1 642 | 6 | 1 648 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.8% | (fma.f64 (-.f64 #s(literal 0 binary64) y) x (fma.f64 x z y)) |
| ▶ | 99.2% | (fma.f64 z x (-.f64 y (*.f64 x y))) |
| ▶ | 70.5% | (fma.f64 z x y) |
| ✓ | 100.0% | (fma.f64 x (-.f64 z y) y) |
| ▶ | 39.7% | (*.f64 z x) |
| ✓ | 33.3% | y |
Compiled 49 to 29 computations (40.8% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f64 x z y) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 0 binary64) y) |
| ✓ | cost-diff | 384 | (fma.f64 (-.f64 #s(literal 0 binary64) y) x (fma.f64 x z y)) |
| ✓ | cost-diff | -64 | (*.f64 x y) |
| ✓ | cost-diff | 0 | (-.f64 y (*.f64 x y)) |
| ✓ | cost-diff | 384 | (fma.f64 z x (-.f64 y (*.f64 x y))) |
| ✓ | cost-diff | 0 | (fma.f64 z x y) |
| ✓ | cost-diff | -64 | (*.f64 z x) |
| 608× | accelerator-lowering-fma.f32 |
| 608× | accelerator-lowering-fma.f64 |
| 240× | *-lowering-*.f32 |
| 240× | *-lowering-*.f64 |
| 152× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 53 |
| 1 | 33 | 51 |
| 2 | 67 | 49 |
| 3 | 121 | 49 |
| 4 | 199 | 49 |
| 5 | 351 | 49 |
| 6 | 544 | 49 |
| 7 | 646 | 49 |
| 8 | 662 | 49 |
| 0 | 662 | 45 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* z x) |
z |
x |
(+ (* z x) y) |
z |
x |
y |
(+ (* z x) (- y (* x y))) |
z |
x |
(- y (* x y)) |
y |
(* x y) |
(+ (* (- 0 y) x) (+ (* x z) y)) |
(- 0 y) |
0 |
y |
x |
(+ (* x z) y) |
z |
| Outputs |
|---|
(* z x) |
(fma.f64 z x #s(literal 0 binary64)) |
z |
x |
(+ (* z x) y) |
(fma.f64 z x y) |
z |
x |
y |
(+ (* z x) (- y (* x y))) |
(fma.f64 x (-.f64 z y) y) |
z |
x |
(- y (* x y)) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
y |
(* x y) |
(fma.f64 x y #s(literal 0 binary64)) |
(+ (* (- 0 y) x) (+ (* x z) y)) |
(fma.f64 x (-.f64 z y) y) |
(- 0 y) |
(-.f64 #s(literal 0 binary64) y) |
0 |
#s(literal 0 binary64) |
y |
x |
(+ (* x z) y) |
(fma.f64 z x y) |
z |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (fma.f64 x z y) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 0 binary64) y) |
| ✓ | accuracy | 98.8% | (fma.f64 (-.f64 #s(literal 0 binary64) y) x (fma.f64 x z y)) |
| ✓ | accuracy | 100.0% | (*.f64 x y) |
| ✓ | accuracy | 100.0% | (-.f64 y (*.f64 x y)) |
| ✓ | accuracy | 99.2% | (fma.f64 z x (-.f64 y (*.f64 x y))) |
| ✓ | accuracy | 100.0% | (fma.f64 z x y) |
| ✓ | accuracy | 100.0% | (*.f64 z x) |
| 28.0ms | 256× | 0 | valid |
Compiled 53 to 16 computations (69.8% saved)
ival-mult: 6.0ms (46.6% of total)ival-add: 4.0ms (31.1% of total)ival-sub: 2.0ms (15.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* z x)> |
#<alt (+ (* z x) y)> |
#<alt (+ (* z x) (- y (* x y)))> |
#<alt (- y (* x y))> |
#<alt (* x y)> |
#<alt (+ (* (- 0 y) x) (+ (* x z) y))> |
#<alt (- 0 y)> |
#<alt (+ (* x z) y)> |
| Outputs |
|---|
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt y> |
#<alt (+ y (* x z))> |
#<alt (+ y (* x z))> |
#<alt (+ y (* x z))> |
#<alt (* x z)> |
#<alt (* z (+ x (/ y z)))> |
#<alt (* z (+ x (/ y z)))> |
#<alt (* z (+ x (/ y z)))> |
#<alt (* x z)> |
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ y z)))))> |
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ y z)))))> |
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ y z)))))> |
#<alt y> |
#<alt (+ y (* x z))> |
#<alt (+ y (* x z))> |
#<alt (+ y (* x z))> |
#<alt (* x z)> |
#<alt (* x (+ z (/ y x)))> |
#<alt (* x (+ z (/ y x)))> |
#<alt (* x (+ z (/ y x)))> |
#<alt (* x z)> |
#<alt (* -1 (* x (+ (* -1 z) (* -1 (/ y x)))))> |
#<alt (* -1 (* x (+ (* -1 z) (* -1 (/ y x)))))> |
#<alt (* -1 (* x (+ (* -1 z) (* -1 (/ y x)))))> |
#<alt (* x z)> |
#<alt (+ y (* x z))> |
#<alt (+ y (* x z))> |
#<alt (+ y (* x z))> |
#<alt y> |
#<alt (* y (+ 1 (/ (* x z) y)))> |
#<alt (* y (+ 1 (/ (* x z) y)))> |
#<alt (* y (+ 1 (/ (* x z) y)))> |
#<alt y> |
#<alt (* -1 (* y (- (* -1 (/ (* x z) y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ (* x z) y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ (* x z) y)) 1)))> |
#<alt (- y (* x y))> |
#<alt (- (+ y (* x z)) (* x y))> |
#<alt (- (+ y (* x z)) (* x y))> |
#<alt (- (+ y (* x z)) (* x y))> |
#<alt (* x z)> |
#<alt (* z (- (+ x (/ y z)) (/ (* x y) z)))> |
#<alt (* z (- (+ x (/ y z)) (/ (* x y) z)))> |
#<alt (* z (- (+ x (/ y z)) (/ (* x y) z)))> |
#<alt (* x z)> |
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (- y (* x y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (- y (* x y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (- y (* x y)) z)))))> |
#<alt y> |
#<alt (+ y (* x (- z y)))> |
#<alt (+ y (* x (- z y)))> |
#<alt (+ y (* x (- z y)))> |
#<alt (* x (- z y))> |
#<alt (* x (- (+ z (/ y x)) y))> |
#<alt (* x (- (+ z (/ y x)) y))> |
#<alt (* x (- (+ z (/ y x)) y))> |
#<alt (* -1 (* x (- (* -1 z) (* -1 y))))> |
#<alt (* -1 (* x (- (+ (* -1 z) (* -1 (/ y x))) (* -1 y))))> |
#<alt (* -1 (* x (- (+ (* -1 z) (* -1 (/ y x))) (* -1 y))))> |
#<alt (* -1 (* x (- (+ (* -1 z) (* -1 (/ y x))) (* -1 y))))> |
#<alt (* x z)> |
#<alt (+ (* x z) (* y (- 1 x)))> |
#<alt (+ (* x z) (* y (- 1 x)))> |
#<alt (+ (* x z) (* y (- 1 x)))> |
#<alt (* y (- 1 x))> |
#<alt (* y (- (+ 1 (/ (* x z) y)) x))> |
#<alt (* y (- (+ 1 (/ (* x z) y)) x))> |
#<alt (* y (- (+ 1 (/ (* x z) y)) x))> |
#<alt (* y (+ 1 (* -1 x)))> |
#<alt (* -1 (* y (- (* -1 (/ (* x z) y)) (+ 1 (* -1 x)))))> |
#<alt (* -1 (* y (- (* -1 (/ (* x z) y)) (+ 1 (* -1 x)))))> |
#<alt (* -1 (* y (- (* -1 (/ (* x z) y)) (+ 1 (* -1 x)))))> |
#<alt (* y (- 1 x))> |
#<alt (* y (- 1 x))> |
#<alt (* y (- 1 x))> |
#<alt (* y (- 1 x))> |
#<alt (* y (- 1 x))> |
#<alt (* y (- 1 x))> |
#<alt (* y (- 1 x))> |
#<alt (* y (- 1 x))> |
#<alt (* y (+ 1 (* -1 x)))> |
#<alt (* y (+ 1 (* -1 x)))> |
#<alt (* y (+ 1 (* -1 x)))> |
#<alt (* y (+ 1 (* -1 x)))> |
#<alt y> |
#<alt (+ y (* -1 (* x y)))> |
#<alt (+ y (* -1 (* x y)))> |
#<alt (+ y (* -1 (* x y)))> |
#<alt (* -1 (* x y))> |
#<alt (* x (- (/ y x) y))> |
#<alt (* x (- (/ y x) y))> |
#<alt (* x (- (/ y x) y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x (- (* -1 (/ y x)) (* -1 y))))> |
#<alt (* -1 (* x (- (* -1 (/ y x)) (* -1 y))))> |
#<alt (* -1 (* x (- (* -1 (/ y x)) (* -1 y))))> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x z)> |
#<alt (+ (* x z) (* y (+ 1 (* -1 x))))> |
#<alt (+ (* x z) (* y (+ 1 (* -1 x))))> |
#<alt (+ (* x z) (* y (+ 1 (* -1 x))))> |
#<alt (* y (+ 1 (* -1 x)))> |
#<alt (* y (+ 1 (+ (* -1 x) (/ (* x z) y))))> |
#<alt (* y (+ 1 (+ (* -1 x) (/ (* x z) y))))> |
#<alt (* y (+ 1 (+ (* -1 x) (/ (* x z) y))))> |
#<alt (* -1 (* y (- x 1)))> |
#<alt (* -1 (* y (- (+ x (* -1 (/ (* x z) y))) 1)))> |
#<alt (* -1 (* y (- (+ x (* -1 (/ (* x z) y))) 1)))> |
#<alt (* -1 (* y (- (+ x (* -1 (/ (* x z) y))) 1)))> |
#<alt y> |
#<alt (+ y (* x (+ z (* -1 y))))> |
#<alt (+ y (* x (+ z (* -1 y))))> |
#<alt (+ y (* x (+ z (* -1 y))))> |
#<alt (* x (+ z (* -1 y)))> |
#<alt (* x (+ z (+ (* -1 y) (/ y x))))> |
#<alt (* x (+ z (+ (* -1 y) (/ y x))))> |
#<alt (* x (+ z (+ (* -1 y) (/ y x))))> |
#<alt (* -1 (* x (+ y (* -1 z))))> |
#<alt (* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x))))))> |
#<alt (* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x))))))> |
#<alt (* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x))))))> |
#<alt (+ y (* -1 (* x y)))> |
#<alt (+ y (+ (* -1 (* x y)) (* x z)))> |
#<alt (+ y (+ (* -1 (* x y)) (* x z)))> |
#<alt (+ y (+ (* -1 (* x y)) (* x z)))> |
#<alt (* x z)> |
#<alt (* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z))))> |
#<alt (* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z))))> |
#<alt (* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z))))> |
#<alt (* x z)> |
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (+ y (* -1 (* x y))) z)))))> |
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (+ y (* -1 (* x y))) z)))))> |
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (+ y (* -1 (* x y))) z)))))> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt y> |
#<alt (+ y (* x z))> |
#<alt (+ y (* x z))> |
#<alt (+ y (* x z))> |
#<alt (* x z)> |
#<alt (* x (+ z (/ y x)))> |
#<alt (* x (+ z (/ y x)))> |
#<alt (* x (+ z (/ y x)))> |
#<alt (* x z)> |
#<alt (* -1 (* x (+ (* -1 z) (* -1 (/ y x)))))> |
#<alt (* -1 (* x (+ (* -1 z) (* -1 (/ y x)))))> |
#<alt (* -1 (* x (+ (* -1 z) (* -1 (/ y x)))))> |
#<alt y> |
#<alt (+ y (* x z))> |
#<alt (+ y (* x z))> |
#<alt (+ y (* x z))> |
#<alt (* x z)> |
#<alt (* z (+ x (/ y z)))> |
#<alt (* z (+ x (/ y z)))> |
#<alt (* z (+ x (/ y z)))> |
#<alt (* x z)> |
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ y z)))))> |
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ y z)))))> |
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ y z)))))> |
#<alt (* x z)> |
#<alt (+ y (* x z))> |
#<alt (+ y (* x z))> |
#<alt (+ y (* x z))> |
#<alt y> |
#<alt (* y (+ 1 (/ (* x z) y)))> |
#<alt (* y (+ 1 (/ (* x z) y)))> |
#<alt (* y (+ 1 (/ (* x z) y)))> |
#<alt y> |
#<alt (* -1 (* y (- (* -1 (/ (* x z) y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ (* x z) y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ (* x z) y)) 1)))> |
57 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | inf | (- y (* x y)) |
| 0.0ms | z | @ | -inf | (+ (* z x) (- y (* x y))) |
| 0.0ms | y | @ | 0 | (- y (* x y)) |
| 0.0ms | y | @ | -inf | (+ (* z x) (- y (* x y))) |
| 0.0ms | x | @ | -inf | (+ (* z x) (- y (* x y))) |
| 1× | batch-egg-rewrite |
| 15 980× | accelerator-lowering-fma.f32 |
| 15 980× | accelerator-lowering-fma.f64 |
| 5 228× | *-lowering-*.f32 |
| 5 228× | *-lowering-*.f64 |
| 2 998× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 41 |
| 1 | 101 | 39 |
| 2 | 842 | 37 |
| 0 | 9036 | 33 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* z x) |
(+ (* z x) y) |
(+ (* z x) (- y (* x y))) |
(- y (* x y)) |
(* x y) |
(+ (* (- 0 y) x) (+ (* x z) y)) |
(- 0 y) |
(+ (* x z) y) |
| Outputs |
|---|
(*.f64 z x) |
(*.f64 x z) |
(+.f64 (*.f64 z x) y) |
(+.f64 y (*.f64 z x)) |
(+.f64 y (+.f64 #s(literal 0 binary64) (*.f64 z x))) |
(+.f64 #s(literal 0 binary64) (fma.f64 z x y)) |
(+.f64 (fma.f64 z x y) #s(literal 0 binary64)) |
(+.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 x x))) (-.f64 (*.f64 z x) y)) (neg.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) (-.f64 (*.f64 z x) y)))) |
(+.f64 (fma.f64 z x #s(literal 0 binary64)) y) |
(-.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 x x))) (-.f64 (*.f64 z x) y)) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (-.f64 (*.f64 z x) y))) |
(-.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) (-.f64 y (*.f64 z x))) (/.f64 (*.f64 z (*.f64 z (*.f64 x x))) (-.f64 y (*.f64 z x)))) |
(fma.f64 z x y) |
(fma.f64 x z y) |
(fma.f64 y (/.f64 y y) (*.f64 z x)) |
(fma.f64 y (/.f64 y y) (+.f64 #s(literal 0 binary64) (*.f64 z x))) |
(fma.f64 (fma.f64 z x y) (*.f64 (-.f64 (*.f64 z x) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z x) y))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 z (*.f64 z (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z x) y)) (neg.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) (-.f64 (*.f64 z x) y)))) |
(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))) (*.f64 z x)) |
(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))) (+.f64 #s(literal 0 binary64) (*.f64 z x))) |
(fma.f64 (*.f64 (fma.f64 y y (*.f64 (*.f64 z x) (-.f64 (*.f64 z x) y))) (fma.f64 z x y)) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (*.f64 z x)) (*.f64 z (*.f64 z (*.f64 x x))))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (fma.f64 y y (*.f64 (*.f64 z x) (-.f64 (*.f64 z x) y))) (fma.f64 z x y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 (*.f64 z x) (-.f64 (*.f64 z x) y)))) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) y) (*.f64 z x)) |
(fma.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 0 binary64) (*.f64 z x))) |
(fma.f64 (fma.f64 y (-.f64 y (*.f64 z x)) (*.f64 z (*.f64 z (*.f64 x x)))) (*.f64 (fma.f64 z x y) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (*.f64 z x)) (*.f64 z (*.f64 z (*.f64 x x)))))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (fma.f64 z x y) (-.f64 (*.f64 z x) y)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z x) y)) #s(literal 0 binary64)) |
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (*.f64 z x)) |
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (+.f64 #s(literal 0 binary64) (*.f64 z x))) |
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y y (*.f64 (*.f64 z x) (-.f64 (*.f64 z x) y))) (fma.f64 z x y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 y (-.f64 y (*.f64 z x)) (*.f64 z (*.f64 z (*.f64 x x)))))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (fma.f64 z x y) (fma.f64 z (-.f64 #s(literal 0 binary64) x) y)) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 #s(literal 0 binary64) x) y)) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (fma.f64 z x y) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (fma.f64 z x y) (-.f64 y (*.f64 z x))) (/.f64 #s(literal 1 binary64) (-.f64 y (*.f64 z x))) #s(literal 0 binary64)) |
(fma.f64 (/.f64 y y) y (*.f64 z x)) |
(fma.f64 (/.f64 y y) y (+.f64 #s(literal 0 binary64) (*.f64 z x))) |
(fma.f64 (/.f64 (pow.f64 y #s(literal 3/2 binary64)) y) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) y) (*.f64 z x)) |
(fma.f64 (/.f64 (pow.f64 y #s(literal 3/2 binary64)) y) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) y) (+.f64 #s(literal 0 binary64) (*.f64 z x))) |
(neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z x y))) |
(/.f64 (*.f64 (fma.f64 y y (*.f64 (*.f64 z x) (-.f64 (*.f64 z x) y))) (fma.f64 z x y)) (fma.f64 y (-.f64 y (*.f64 z x)) (*.f64 z (*.f64 z (*.f64 x x))))) |
(/.f64 (*.f64 (fma.f64 y y (*.f64 (*.f64 z x) (-.f64 (*.f64 z x) y))) (fma.f64 z x y)) (fma.f64 y y (*.f64 (*.f64 z x) (-.f64 (*.f64 z x) y)))) |
(/.f64 (*.f64 (fma.f64 z x y) (-.f64 (*.f64 z x) y)) (-.f64 (*.f64 z x) y)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y y (*.f64 (*.f64 z x) (-.f64 (*.f64 z x) y))) (fma.f64 z x y))) (-.f64 #s(literal 0 binary64) (fma.f64 y (-.f64 y (*.f64 z x)) (*.f64 z (*.f64 z (*.f64 x x)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y y (*.f64 (*.f64 z x) (-.f64 (*.f64 z x) y))) (fma.f64 z x y))) (neg.f64 (fma.f64 y y (*.f64 (*.f64 z x) (-.f64 (*.f64 z x) y))))) |
(/.f64 (*.f64 (fma.f64 z x y) (fma.f64 z (-.f64 #s(literal 0 binary64) x) y)) (fma.f64 z (-.f64 #s(literal 0 binary64) x) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z x y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 (*.f64 z x) (-.f64 (*.f64 z x) y))) (*.f64 (fma.f64 y y (*.f64 (*.f64 z x) (-.f64 (*.f64 z x) y))) (fma.f64 z x y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z x y)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 z x)) (*.f64 (fma.f64 z x y) (-.f64 y (*.f64 z x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z x y)))) |
(/.f64 (*.f64 (fma.f64 z x y) (-.f64 y (*.f64 z x))) (-.f64 y (*.f64 z x))) |
(/.f64 (-.f64 (*.f64 (*.f64 z (*.f64 z (*.f64 x x))) (-.f64 (*.f64 z x) y)) (*.f64 (-.f64 (*.f64 z x) y) (fma.f64 y y #s(literal 0 binary64)))) (*.f64 (-.f64 (*.f64 z x) y) (-.f64 (*.f64 z x) y))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y y (*.f64 (*.f64 z x) (-.f64 (*.f64 z x) y))) (fma.f64 z x y)))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (-.f64 y (*.f64 z x)) (*.f64 z (*.f64 z (*.f64 x x))))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 z x y) (fma.f64 z (-.f64 #s(literal 0 binary64) x) y))) (neg.f64 (fma.f64 z (-.f64 #s(literal 0 binary64) x) y))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 z x y) (-.f64 y (*.f64 z x)))) (neg.f64 (-.f64 y (*.f64 z x)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 x x))) (-.f64 (*.f64 z x) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) (-.f64 (*.f64 z x) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 x x))) (-.f64 (*.f64 z x) y)) (/.f64 (*.f64 z (*.f64 z (*.f64 x x))) (-.f64 (*.f64 z x) y)) (fma.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) (-.f64 (*.f64 z x) y)) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (-.f64 (*.f64 z x) y)) (*.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 x x))) (-.f64 (*.f64 z x) y)) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (-.f64 (*.f64 z x) y)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 x x))) (-.f64 (*.f64 z x) y)) (/.f64 (*.f64 z (*.f64 z (*.f64 x x))) (-.f64 (*.f64 z x) y))) (*.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) (-.f64 (*.f64 z x) y)) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (-.f64 (*.f64 z x) y)))) (+.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 x x))) (-.f64 (*.f64 z x) y)) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (-.f64 (*.f64 z x) y)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z x y)) #s(literal -1 binary64)) |
(*.f64 (fma.f64 z x y) (*.f64 (-.f64 (*.f64 z x) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z x) y)))) |
(*.f64 (*.f64 (fma.f64 y y (*.f64 (*.f64 z x) (-.f64 (*.f64 z x) y))) (fma.f64 z x y)) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (*.f64 z x)) (*.f64 z (*.f64 z (*.f64 x x)))))) |
(*.f64 (*.f64 (fma.f64 y y (*.f64 (*.f64 z x) (-.f64 (*.f64 z x) y))) (fma.f64 z x y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 (*.f64 z x) (-.f64 (*.f64 z x) y))))) |
(*.f64 (fma.f64 y (-.f64 y (*.f64 z x)) (*.f64 z (*.f64 z (*.f64 x x)))) (*.f64 (fma.f64 z x y) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (*.f64 z x)) (*.f64 z (*.f64 z (*.f64 x x))))))) |
(*.f64 (*.f64 (fma.f64 z x y) (-.f64 (*.f64 z x) y)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z x) y))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y y (*.f64 (*.f64 z x) (-.f64 (*.f64 z x) y))) (fma.f64 z x y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 y (-.f64 y (*.f64 z x)) (*.f64 z (*.f64 z (*.f64 x x))))))) |
(*.f64 (*.f64 (fma.f64 z x y) (fma.f64 z (-.f64 #s(literal 0 binary64) x) y)) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 #s(literal 0 binary64) x) y))) |
(*.f64 #s(literal 1 binary64) (fma.f64 z x y)) |
(*.f64 (*.f64 (fma.f64 z x y) (-.f64 y (*.f64 z x))) (/.f64 #s(literal 1 binary64) (-.f64 y (*.f64 z x)))) |
(+.f64 (*.f64 z x) (-.f64 y (fma.f64 x y #s(literal 0 binary64)))) |
(+.f64 y (*.f64 x (-.f64 z y))) |
(+.f64 y (neg.f64 (*.f64 x (-.f64 y z)))) |
(+.f64 (-.f64 y (fma.f64 x y #s(literal 0 binary64))) (*.f64 z x)) |
(+.f64 (fma.f64 x (-.f64 z y) y) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 z y) y)) |
(+.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal 0 binary64))) (fma.f64 z x y)) |
(+.f64 (fma.f64 z x y) (-.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal 0 binary64)))) |
(+.f64 (*.f64 x (-.f64 z y)) y) |
(+.f64 (/.f64 (*.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64))) (-.f64 (*.f64 x (-.f64 (-.f64 #s(literal 0 binary64) y) z)) y)) (neg.f64 (/.f64 (*.f64 (fma.f64 z x y) (fma.f64 z x y)) (-.f64 (*.f64 x (-.f64 (-.f64 #s(literal 0 binary64) y) z)) y)))) |
(+.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 x x))) (fma.f64 z x (fma.f64 x y (-.f64 #s(literal 0 binary64) y)))) (neg.f64 (/.f64 (*.f64 (-.f64 y (fma.f64 x y #s(literal 0 binary64))) (-.f64 y (fma.f64 x y #s(literal 0 binary64)))) (fma.f64 z x (fma.f64 x y (-.f64 #s(literal 0 binary64) y)))))) |
(+.f64 (fma.f64 x (-.f64 z y) #s(literal 0 binary64)) y) |
(-.f64 y (*.f64 x (-.f64 y z))) |
(-.f64 #s(literal 0 binary64) (-.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 z x y))) |
(-.f64 (fma.f64 z x y) (fma.f64 x y #s(literal 0 binary64))) |
(-.f64 (/.f64 (*.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64))) (-.f64 (*.f64 x (-.f64 (-.f64 #s(literal 0 binary64) y) z)) y)) (/.f64 (*.f64 (fma.f64 z x y) (fma.f64 z x y)) (-.f64 (*.f64 x (-.f64 (-.f64 #s(literal 0 binary64) y) z)) y))) |
(-.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 x x))) (fma.f64 z x (fma.f64 x y (-.f64 #s(literal 0 binary64) y)))) (/.f64 (*.f64 (-.f64 y (fma.f64 x y #s(literal 0 binary64))) (-.f64 y (fma.f64 x y #s(literal 0 binary64)))) (fma.f64 z x (fma.f64 x y (-.f64 #s(literal 0 binary64) y))))) |
(-.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 x x))) (-.f64 (*.f64 z x) y)) (-.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) (-.f64 (*.f64 z x) y)) (-.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal 0 binary64))))) |
(-.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 x x))) (-.f64 (*.f64 z x) y)) (+.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) (-.f64 (*.f64 z x) y)) (fma.f64 x y #s(literal 0 binary64)))) |
(-.f64 (/.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (*.f64 y (fma.f64 x y y)) (fma.f64 y y #s(literal 0 binary64)))) (-.f64 (/.f64 (*.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)))) (fma.f64 x (*.f64 y (fma.f64 x y y)) (fma.f64 y y #s(literal 0 binary64)))) (*.f64 z x))) |
(-.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 x y y)) (-.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (fma.f64 x y #s(literal 0 binary64))) (*.f64 z x))) |
(-.f64 (/.f64 (*.f64 (fma.f64 z x y) (*.f64 (fma.f64 z x y) (fma.f64 z x y))) (fma.f64 (fma.f64 z x y) (fma.f64 z x y) (*.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x y (fma.f64 z x y))))) (/.f64 (*.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)))) (fma.f64 (fma.f64 z x y) (fma.f64 z x y) (*.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x y (fma.f64 z x y)))))) |
(-.f64 (/.f64 (*.f64 (fma.f64 z x y) (fma.f64 z x y)) (fma.f64 z x (fma.f64 x y y))) (/.f64 (*.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64))) (fma.f64 z x (fma.f64 x y y)))) |
(-.f64 (/.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y))) (-.f64 (*.f64 x (-.f64 z y)) y)) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (-.f64 (*.f64 x (-.f64 z y)) y))) |
(-.f64 (/.f64 (*.f64 (-.f64 y (fma.f64 x y #s(literal 0 binary64))) (-.f64 y (fma.f64 x y #s(literal 0 binary64)))) (+.f64 y (*.f64 x (-.f64 (-.f64 #s(literal 0 binary64) y) z)))) (/.f64 (*.f64 z (*.f64 z (*.f64 x x))) (+.f64 y (*.f64 x (-.f64 (-.f64 #s(literal 0 binary64) y) z))))) |
(-.f64 (fma.f64 z x (/.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (*.f64 y (fma.f64 x y y)) (fma.f64 y y #s(literal 0 binary64))))) (/.f64 (*.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)))) (fma.f64 x (*.f64 y (fma.f64 x y y)) (fma.f64 y y #s(literal 0 binary64))))) |
(-.f64 (fma.f64 z x (/.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 x y y))) (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (fma.f64 x y #s(literal 0 binary64)))) |
(-.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) y) (/.f64 (*.f64 z (*.f64 z (*.f64 x x))) (-.f64 (*.f64 z x) y))) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (-.f64 (*.f64 z x) y))) |
(fma.f64 z x (-.f64 y (fma.f64 x y #s(literal 0 binary64)))) |
(fma.f64 x z (-.f64 y (fma.f64 x y #s(literal 0 binary64)))) |
(fma.f64 x (-.f64 #s(literal 0 binary64) y) (fma.f64 z x y)) |
(fma.f64 x (+.f64 (-.f64 #s(literal 0 binary64) y) z) y) |
(fma.f64 x (+.f64 z (-.f64 #s(literal 0 binary64) y)) y) |
(fma.f64 x (-.f64 z y) y) |
(fma.f64 y (-.f64 #s(literal 0 binary64) x) (fma.f64 z x y)) |
(fma.f64 y (/.f64 y y) (*.f64 x (-.f64 z y))) |
(fma.f64 y (/.f64 y y) (neg.f64 (*.f64 x (-.f64 y z)))) |
(fma.f64 (fma.f64 x (-.f64 z y) y) (*.f64 (-.f64 (*.f64 x (-.f64 (-.f64 #s(literal 0 binary64) y) z)) y) (/.f64 #s(literal -1 binary64) (fma.f64 x y (fma.f64 z x y)))) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 x (-.f64 z y) y) (*.f64 (fma.f64 z x (fma.f64 x y (-.f64 #s(literal 0 binary64) y))) (/.f64 #s(literal 1 binary64) (fma.f64 z x (fma.f64 x y (-.f64 #s(literal 0 binary64) y))))) #s(literal 0 binary64)) |
(fma.f64 (-.f64 #s(literal 0 binary64) y) x (fma.f64 z x y)) |
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(/.f64 (neg.f64 (*.f64 (fma.f64 z x y) (fma.f64 z (-.f64 #s(literal 0 binary64) x) y))) (neg.f64 (fma.f64 z (-.f64 #s(literal 0 binary64) x) y))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 z x y) (-.f64 y (*.f64 z x)))) (neg.f64 (-.f64 y (*.f64 z x)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 x x))) (-.f64 (*.f64 z x) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) (-.f64 (*.f64 z x) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 x x))) (-.f64 (*.f64 z x) y)) (/.f64 (*.f64 z (*.f64 z (*.f64 x x))) (-.f64 (*.f64 z x) y)) (fma.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) (-.f64 (*.f64 z x) y)) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (-.f64 (*.f64 z x) y)) (*.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 x x))) (-.f64 (*.f64 z x) y)) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (-.f64 (*.f64 z x) y)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 x x))) (-.f64 (*.f64 z x) y)) (/.f64 (*.f64 z (*.f64 z (*.f64 x x))) (-.f64 (*.f64 z x) y))) (*.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) (-.f64 (*.f64 z x) y)) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (-.f64 (*.f64 z x) y)))) (+.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 x x))) (-.f64 (*.f64 z x) y)) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (-.f64 (*.f64 z x) y)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z x y)) #s(literal -1 binary64)) |
(*.f64 (fma.f64 z x y) (*.f64 (-.f64 (*.f64 z x) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z x) y)))) |
(*.f64 (*.f64 (fma.f64 y y (*.f64 (*.f64 z x) (-.f64 (*.f64 z x) y))) (fma.f64 z x y)) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (*.f64 z x)) (*.f64 z (*.f64 z (*.f64 x x)))))) |
(*.f64 (*.f64 (fma.f64 y y (*.f64 (*.f64 z x) (-.f64 (*.f64 z x) y))) (fma.f64 z x y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 (*.f64 z x) (-.f64 (*.f64 z x) y))))) |
(*.f64 (fma.f64 y (-.f64 y (*.f64 z x)) (*.f64 z (*.f64 z (*.f64 x x)))) (*.f64 (fma.f64 z x y) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (*.f64 z x)) (*.f64 z (*.f64 z (*.f64 x x))))))) |
(*.f64 (*.f64 (fma.f64 z x y) (-.f64 (*.f64 z x) y)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z x) y))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y y (*.f64 (*.f64 z x) (-.f64 (*.f64 z x) y))) (fma.f64 z x y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 y (-.f64 y (*.f64 z x)) (*.f64 z (*.f64 z (*.f64 x x))))))) |
(*.f64 (*.f64 (fma.f64 z x y) (fma.f64 z (-.f64 #s(literal 0 binary64) x) y)) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 #s(literal 0 binary64) x) y))) |
(*.f64 #s(literal 1 binary64) (fma.f64 z x y)) |
(*.f64 (*.f64 (fma.f64 z x y) (-.f64 y (*.f64 z x))) (/.f64 #s(literal 1 binary64) (-.f64 y (*.f64 z x)))) |
| 1× | egg-herbie |
| 6 300× | accelerator-lowering-fma.f32 |
| 6 300× | accelerator-lowering-fma.f64 |
| 2 518× | *-lowering-*.f32 |
| 2 518× | *-lowering-*.f64 |
| 1 250× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 104 | 1146 |
| 1 | 351 | 1038 |
| 2 | 834 | 1038 |
| 3 | 2171 | 1038 |
| 4 | 5319 | 1038 |
| 5 | 7110 | 1038 |
| 0 | 8127 | 930 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
y |
(+ y (* x z)) |
(+ y (* x z)) |
(+ y (* x z)) |
(* x z) |
(* z (+ x (/ y z))) |
(* z (+ x (/ y z))) |
(* z (+ x (/ y z))) |
(* x z) |
(* -1 (* z (+ (* -1 x) (* -1 (/ y z))))) |
(* -1 (* z (+ (* -1 x) (* -1 (/ y z))))) |
(* -1 (* z (+ (* -1 x) (* -1 (/ y z))))) |
y |
(+ y (* x z)) |
(+ y (* x z)) |
(+ y (* x z)) |
(* x z) |
(* x (+ z (/ y x))) |
(* x (+ z (/ y x))) |
(* x (+ z (/ y x))) |
(* x z) |
(* -1 (* x (+ (* -1 z) (* -1 (/ y x))))) |
(* -1 (* x (+ (* -1 z) (* -1 (/ y x))))) |
(* -1 (* x (+ (* -1 z) (* -1 (/ y x))))) |
(* x z) |
(+ y (* x z)) |
(+ y (* x z)) |
(+ y (* x z)) |
y |
(* y (+ 1 (/ (* x z) y))) |
(* y (+ 1 (/ (* x z) y))) |
(* y (+ 1 (/ (* x z) y))) |
y |
(* -1 (* y (- (* -1 (/ (* x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (* x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (* x z) y)) 1))) |
(- y (* x y)) |
(- (+ y (* x z)) (* x y)) |
(- (+ y (* x z)) (* x y)) |
(- (+ y (* x z)) (* x y)) |
(* x z) |
(* z (- (+ x (/ y z)) (/ (* x y) z))) |
(* z (- (+ x (/ y z)) (/ (* x y) z))) |
(* z (- (+ x (/ y z)) (/ (* x y) z))) |
(* x z) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (- y (* x y)) z))))) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (- y (* x y)) z))))) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (- y (* x y)) z))))) |
y |
(+ y (* x (- z y))) |
(+ y (* x (- z y))) |
(+ y (* x (- z y))) |
(* x (- z y)) |
(* x (- (+ z (/ y x)) y)) |
(* x (- (+ z (/ y x)) y)) |
(* x (- (+ z (/ y x)) y)) |
(* -1 (* x (- (* -1 z) (* -1 y)))) |
(* -1 (* x (- (+ (* -1 z) (* -1 (/ y x))) (* -1 y)))) |
(* -1 (* x (- (+ (* -1 z) (* -1 (/ y x))) (* -1 y)))) |
(* -1 (* x (- (+ (* -1 z) (* -1 (/ y x))) (* -1 y)))) |
(* x z) |
(+ (* x z) (* y (- 1 x))) |
(+ (* x z) (* y (- 1 x))) |
(+ (* x z) (* y (- 1 x))) |
(* y (- 1 x)) |
(* y (- (+ 1 (/ (* x z) y)) x)) |
(* y (- (+ 1 (/ (* x z) y)) x)) |
(* y (- (+ 1 (/ (* x z) y)) x)) |
(* y (+ 1 (* -1 x))) |
(* -1 (* y (- (* -1 (/ (* x z) y)) (+ 1 (* -1 x))))) |
(* -1 (* y (- (* -1 (/ (* x z) y)) (+ 1 (* -1 x))))) |
(* -1 (* y (- (* -1 (/ (* x z) y)) (+ 1 (* -1 x))))) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (+ 1 (* -1 x))) |
(* y (+ 1 (* -1 x))) |
(* y (+ 1 (* -1 x))) |
(* y (+ 1 (* -1 x))) |
y |
(+ y (* -1 (* x y))) |
(+ y (* -1 (* x y))) |
(+ y (* -1 (* x y))) |
(* -1 (* x y)) |
(* x (- (/ y x) y)) |
(* x (- (/ y x) y)) |
(* x (- (/ y x) y)) |
(* -1 (* x y)) |
(* -1 (* x (- (* -1 (/ y x)) (* -1 y)))) |
(* -1 (* x (- (* -1 (/ y x)) (* -1 y)))) |
(* -1 (* x (- (* -1 (/ y x)) (* -1 y)))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x z) |
(+ (* x z) (* y (+ 1 (* -1 x)))) |
(+ (* x z) (* y (+ 1 (* -1 x)))) |
(+ (* x z) (* y (+ 1 (* -1 x)))) |
(* y (+ 1 (* -1 x))) |
(* y (+ 1 (+ (* -1 x) (/ (* x z) y)))) |
(* y (+ 1 (+ (* -1 x) (/ (* x z) y)))) |
(* y (+ 1 (+ (* -1 x) (/ (* x z) y)))) |
(* -1 (* y (- x 1))) |
(* -1 (* y (- (+ x (* -1 (/ (* x z) y))) 1))) |
(* -1 (* y (- (+ x (* -1 (/ (* x z) y))) 1))) |
(* -1 (* y (- (+ x (* -1 (/ (* x z) y))) 1))) |
y |
(+ y (* x (+ z (* -1 y)))) |
(+ y (* x (+ z (* -1 y)))) |
(+ y (* x (+ z (* -1 y)))) |
(* x (+ z (* -1 y))) |
(* x (+ z (+ (* -1 y) (/ y x)))) |
(* x (+ z (+ (* -1 y) (/ y x)))) |
(* x (+ z (+ (* -1 y) (/ y x)))) |
(* -1 (* x (+ y (* -1 z)))) |
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) |
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) |
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) |
(+ y (* -1 (* x y))) |
(+ y (+ (* -1 (* x y)) (* x z))) |
(+ y (+ (* -1 (* x y)) (* x z))) |
(+ y (+ (* -1 (* x y)) (* x z))) |
(* x z) |
(* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z)))) |
(* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z)))) |
(* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z)))) |
(* x z) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (+ y (* -1 (* x y))) z))))) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (+ y (* -1 (* x y))) z))))) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (+ y (* -1 (* x y))) z))))) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
y |
(+ y (* x z)) |
(+ y (* x z)) |
(+ y (* x z)) |
(* x z) |
(* x (+ z (/ y x))) |
(* x (+ z (/ y x))) |
(* x (+ z (/ y x))) |
(* x z) |
(* -1 (* x (+ (* -1 z) (* -1 (/ y x))))) |
(* -1 (* x (+ (* -1 z) (* -1 (/ y x))))) |
(* -1 (* x (+ (* -1 z) (* -1 (/ y x))))) |
y |
(+ y (* x z)) |
(+ y (* x z)) |
(+ y (* x z)) |
(* x z) |
(* z (+ x (/ y z))) |
(* z (+ x (/ y z))) |
(* z (+ x (/ y z))) |
(* x z) |
(* -1 (* z (+ (* -1 x) (* -1 (/ y z))))) |
(* -1 (* z (+ (* -1 x) (* -1 (/ y z))))) |
(* -1 (* z (+ (* -1 x) (* -1 (/ y z))))) |
(* x z) |
(+ y (* x z)) |
(+ y (* x z)) |
(+ y (* x z)) |
y |
(* y (+ 1 (/ (* x z) y))) |
(* y (+ 1 (/ (* x z) y))) |
(* y (+ 1 (/ (* x z) y))) |
y |
(* -1 (* y (- (* -1 (/ (* x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (* x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (* x z) y)) 1))) |
| Outputs |
|---|
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
y |
(+ y (* x z)) |
(fma.f64 x z y) |
(+ y (* x z)) |
(fma.f64 x z y) |
(+ y (* x z)) |
(fma.f64 x z y) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* z (+ x (/ y z))) |
(fma.f64 x z y) |
(* z (+ x (/ y z))) |
(fma.f64 x z y) |
(* z (+ x (/ y z))) |
(fma.f64 x z y) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* -1 (* z (+ (* -1 x) (* -1 (/ y z))))) |
(fma.f64 x z y) |
(* -1 (* z (+ (* -1 x) (* -1 (/ y z))))) |
(fma.f64 x z y) |
(* -1 (* z (+ (* -1 x) (* -1 (/ y z))))) |
(fma.f64 x z y) |
y |
(+ y (* x z)) |
(fma.f64 x z y) |
(+ y (* x z)) |
(fma.f64 x z y) |
(+ y (* x z)) |
(fma.f64 x z y) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x (+ z (/ y x))) |
(fma.f64 x z y) |
(* x (+ z (/ y x))) |
(fma.f64 x z y) |
(* x (+ z (/ y x))) |
(fma.f64 x z y) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* -1 (* x (+ (* -1 z) (* -1 (/ y x))))) |
(fma.f64 x z y) |
(* -1 (* x (+ (* -1 z) (* -1 (/ y x))))) |
(fma.f64 x z y) |
(* -1 (* x (+ (* -1 z) (* -1 (/ y x))))) |
(fma.f64 x z y) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(+ y (* x z)) |
(fma.f64 x z y) |
(+ y (* x z)) |
(fma.f64 x z y) |
(+ y (* x z)) |
(fma.f64 x z y) |
y |
(* y (+ 1 (/ (* x z) y))) |
(fma.f64 x z y) |
(* y (+ 1 (/ (* x z) y))) |
(fma.f64 x z y) |
(* y (+ 1 (/ (* x z) y))) |
(fma.f64 x z y) |
y |
(* -1 (* y (- (* -1 (/ (* x z) y)) 1))) |
(fma.f64 x z y) |
(* -1 (* y (- (* -1 (/ (* x z) y)) 1))) |
(fma.f64 x z y) |
(* -1 (* y (- (* -1 (/ (* x z) y)) 1))) |
(fma.f64 x z y) |
(- y (* x y)) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(- (+ y (* x z)) (* x y)) |
(fma.f64 x (-.f64 z y) y) |
(- (+ y (* x z)) (* x y)) |
(fma.f64 x (-.f64 z y) y) |
(- (+ y (* x z)) (* x y)) |
(fma.f64 x (-.f64 z y) y) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* z (- (+ x (/ y z)) (/ (* x y) z))) |
(fma.f64 x (-.f64 z y) y) |
(* z (- (+ x (/ y z)) (/ (* x y) z))) |
(fma.f64 x (-.f64 z y) y) |
(* z (- (+ x (/ y z)) (/ (* x y) z))) |
(fma.f64 x (-.f64 z y) y) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (- y (* x y)) z))))) |
(fma.f64 x (-.f64 z y) y) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (- y (* x y)) z))))) |
(fma.f64 x (-.f64 z y) y) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (- y (* x y)) z))))) |
(fma.f64 x (-.f64 z y) y) |
y |
(+ y (* x (- z y))) |
(fma.f64 x (-.f64 z y) y) |
(+ y (* x (- z y))) |
(fma.f64 x (-.f64 z y) y) |
(+ y (* x (- z y))) |
(fma.f64 x (-.f64 z y) y) |
(* x (- z y)) |
(fma.f64 x (-.f64 z y) #s(literal 0 binary64)) |
(* x (- (+ z (/ y x)) y)) |
(fma.f64 x (-.f64 z y) y) |
(* x (- (+ z (/ y x)) y)) |
(fma.f64 x (-.f64 z y) y) |
(* x (- (+ z (/ y x)) y)) |
(fma.f64 x (-.f64 z y) y) |
(* -1 (* x (- (* -1 z) (* -1 y)))) |
(fma.f64 x (-.f64 z y) #s(literal 0 binary64)) |
(* -1 (* x (- (+ (* -1 z) (* -1 (/ y x))) (* -1 y)))) |
(fma.f64 x (-.f64 z y) y) |
(* -1 (* x (- (+ (* -1 z) (* -1 (/ y x))) (* -1 y)))) |
(fma.f64 x (-.f64 z y) y) |
(* -1 (* x (- (+ (* -1 z) (* -1 (/ y x))) (* -1 y)))) |
(fma.f64 x (-.f64 z y) y) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(+ (* x z) (* y (- 1 x))) |
(fma.f64 x (-.f64 z y) y) |
(+ (* x z) (* y (- 1 x))) |
(fma.f64 x (-.f64 z y) y) |
(+ (* x z) (* y (- 1 x))) |
(fma.f64 x (-.f64 z y) y) |
(* y (- 1 x)) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(* y (- (+ 1 (/ (* x z) y)) x)) |
(fma.f64 x (-.f64 z y) y) |
(* y (- (+ 1 (/ (* x z) y)) x)) |
(fma.f64 x (-.f64 z y) y) |
(* y (- (+ 1 (/ (* x z) y)) x)) |
(fma.f64 x (-.f64 z y) y) |
(* y (+ 1 (* -1 x))) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(* -1 (* y (- (* -1 (/ (* x z) y)) (+ 1 (* -1 x))))) |
(fma.f64 x (-.f64 z y) y) |
(* -1 (* y (- (* -1 (/ (* x z) y)) (+ 1 (* -1 x))))) |
(fma.f64 x (-.f64 z y) y) |
(* -1 (* y (- (* -1 (/ (* x z) y)) (+ 1 (* -1 x))))) |
(fma.f64 x (-.f64 z y) y) |
(* y (- 1 x)) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(* y (- 1 x)) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(* y (- 1 x)) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(* y (- 1 x)) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(* y (- 1 x)) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(* y (- 1 x)) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(* y (- 1 x)) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(* y (- 1 x)) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(* y (+ 1 (* -1 x))) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(* y (+ 1 (* -1 x))) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(* y (+ 1 (* -1 x))) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(* y (+ 1 (* -1 x))) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
y |
(+ y (* -1 (* x y))) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(+ y (* -1 (* x y))) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(+ y (* -1 (* x y))) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(* -1 (* x y)) |
(-.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal 0 binary64))) |
(* x (- (/ y x) y)) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(* x (- (/ y x) y)) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(* x (- (/ y x) y)) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(* -1 (* x y)) |
(-.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal 0 binary64))) |
(* -1 (* x (- (* -1 (/ y x)) (* -1 y)))) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(* -1 (* x (- (* -1 (/ y x)) (* -1 y)))) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(* -1 (* x (- (* -1 (/ y x)) (* -1 y)))) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(* x y) |
(fma.f64 x y #s(literal 0 binary64)) |
(* x y) |
(fma.f64 x y #s(literal 0 binary64)) |
(* x y) |
(fma.f64 x y #s(literal 0 binary64)) |
(* x y) |
(fma.f64 x y #s(literal 0 binary64)) |
(* x y) |
(fma.f64 x y #s(literal 0 binary64)) |
(* x y) |
(fma.f64 x y #s(literal 0 binary64)) |
(* x y) |
(fma.f64 x y #s(literal 0 binary64)) |
(* x y) |
(fma.f64 x y #s(literal 0 binary64)) |
(* x y) |
(fma.f64 x y #s(literal 0 binary64)) |
(* x y) |
(fma.f64 x y #s(literal 0 binary64)) |
(* x y) |
(fma.f64 x y #s(literal 0 binary64)) |
(* x y) |
(fma.f64 x y #s(literal 0 binary64)) |
(* x y) |
(fma.f64 x y #s(literal 0 binary64)) |
(* x y) |
(fma.f64 x y #s(literal 0 binary64)) |
(* x y) |
(fma.f64 x y #s(literal 0 binary64)) |
(* x y) |
(fma.f64 x y #s(literal 0 binary64)) |
(* x y) |
(fma.f64 x y #s(literal 0 binary64)) |
(* x y) |
(fma.f64 x y #s(literal 0 binary64)) |
(* x y) |
(fma.f64 x y #s(literal 0 binary64)) |
(* x y) |
(fma.f64 x y #s(literal 0 binary64)) |
(* x y) |
(fma.f64 x y #s(literal 0 binary64)) |
(* x y) |
(fma.f64 x y #s(literal 0 binary64)) |
(* x y) |
(fma.f64 x y #s(literal 0 binary64)) |
(* x y) |
(fma.f64 x y #s(literal 0 binary64)) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(+ (* x z) (* y (+ 1 (* -1 x)))) |
(fma.f64 x (-.f64 z y) y) |
(+ (* x z) (* y (+ 1 (* -1 x)))) |
(fma.f64 x (-.f64 z y) y) |
(+ (* x z) (* y (+ 1 (* -1 x)))) |
(fma.f64 x (-.f64 z y) y) |
(* y (+ 1 (* -1 x))) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(* y (+ 1 (+ (* -1 x) (/ (* x z) y)))) |
(fma.f64 x (-.f64 z y) y) |
(* y (+ 1 (+ (* -1 x) (/ (* x z) y)))) |
(fma.f64 x (-.f64 z y) y) |
(* y (+ 1 (+ (* -1 x) (/ (* x z) y)))) |
(fma.f64 x (-.f64 z y) y) |
(* -1 (* y (- x 1))) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(* -1 (* y (- (+ x (* -1 (/ (* x z) y))) 1))) |
(fma.f64 x (-.f64 z y) y) |
(* -1 (* y (- (+ x (* -1 (/ (* x z) y))) 1))) |
(fma.f64 x (-.f64 z y) y) |
(* -1 (* y (- (+ x (* -1 (/ (* x z) y))) 1))) |
(fma.f64 x (-.f64 z y) y) |
y |
(+ y (* x (+ z (* -1 y)))) |
(fma.f64 x (-.f64 z y) y) |
(+ y (* x (+ z (* -1 y)))) |
(fma.f64 x (-.f64 z y) y) |
(+ y (* x (+ z (* -1 y)))) |
(fma.f64 x (-.f64 z y) y) |
(* x (+ z (* -1 y))) |
(fma.f64 x (-.f64 z y) #s(literal 0 binary64)) |
(* x (+ z (+ (* -1 y) (/ y x)))) |
(fma.f64 x (-.f64 z y) y) |
(* x (+ z (+ (* -1 y) (/ y x)))) |
(fma.f64 x (-.f64 z y) y) |
(* x (+ z (+ (* -1 y) (/ y x)))) |
(fma.f64 x (-.f64 z y) y) |
(* -1 (* x (+ y (* -1 z)))) |
(fma.f64 x (-.f64 z y) #s(literal 0 binary64)) |
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) |
(fma.f64 x (-.f64 z y) y) |
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) |
(fma.f64 x (-.f64 z y) y) |
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) |
(fma.f64 x (-.f64 z y) y) |
(+ y (* -1 (* x y))) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(+ y (+ (* -1 (* x y)) (* x z))) |
(fma.f64 x (-.f64 z y) y) |
(+ y (+ (* -1 (* x y)) (* x z))) |
(fma.f64 x (-.f64 z y) y) |
(+ y (+ (* -1 (* x y)) (* x z))) |
(fma.f64 x (-.f64 z y) y) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z)))) |
(fma.f64 x (-.f64 z y) y) |
(* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z)))) |
(fma.f64 x (-.f64 z y) y) |
(* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z)))) |
(fma.f64 x (-.f64 z y) y) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (+ y (* -1 (* x y))) z))))) |
(fma.f64 x (-.f64 z y) y) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (+ y (* -1 (* x y))) z))))) |
(fma.f64 x (-.f64 z y) y) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (+ y (* -1 (* x y))) z))))) |
(fma.f64 x (-.f64 z y) 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) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
y |
(+ y (* x z)) |
(fma.f64 x z y) |
(+ y (* x z)) |
(fma.f64 x z y) |
(+ y (* x z)) |
(fma.f64 x z y) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x (+ z (/ y x))) |
(fma.f64 x z y) |
(* x (+ z (/ y x))) |
(fma.f64 x z y) |
(* x (+ z (/ y x))) |
(fma.f64 x z y) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* -1 (* x (+ (* -1 z) (* -1 (/ y x))))) |
(fma.f64 x z y) |
(* -1 (* x (+ (* -1 z) (* -1 (/ y x))))) |
(fma.f64 x z y) |
(* -1 (* x (+ (* -1 z) (* -1 (/ y x))))) |
(fma.f64 x z y) |
y |
(+ y (* x z)) |
(fma.f64 x z y) |
(+ y (* x z)) |
(fma.f64 x z y) |
(+ y (* x z)) |
(fma.f64 x z y) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* z (+ x (/ y z))) |
(fma.f64 x z y) |
(* z (+ x (/ y z))) |
(fma.f64 x z y) |
(* z (+ x (/ y z))) |
(fma.f64 x z y) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* -1 (* z (+ (* -1 x) (* -1 (/ y z))))) |
(fma.f64 x z y) |
(* -1 (* z (+ (* -1 x) (* -1 (/ y z))))) |
(fma.f64 x z y) |
(* -1 (* z (+ (* -1 x) (* -1 (/ y z))))) |
(fma.f64 x z y) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(+ y (* x z)) |
(fma.f64 x z y) |
(+ y (* x z)) |
(fma.f64 x z y) |
(+ y (* x z)) |
(fma.f64 x z y) |
y |
(* y (+ 1 (/ (* x z) y))) |
(fma.f64 x z y) |
(* y (+ 1 (/ (* x z) y))) |
(fma.f64 x z y) |
(* y (+ 1 (/ (* x z) y))) |
(fma.f64 x z y) |
y |
(* -1 (* y (- (* -1 (/ (* x z) y)) 1))) |
(fma.f64 x z y) |
(* -1 (* y (- (* -1 (/ (* x z) y)) 1))) |
(fma.f64 x z y) |
(* -1 (* y (- (* -1 (/ (* x z) y)) 1))) |
(fma.f64 x z y) |
Compiled 24 450 to 1 179 computations (95.2% saved)
5 alts after pruning (1 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 949 | 1 | 950 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 2 | 4 |
| Done | 0 | 2 | 2 |
| Total | 951 | 5 | 956 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.8% | (fma.f64 (neg.f64 y) x (fma.f64 x z y)) |
| ✓ | 70.5% | (fma.f64 z x y) |
| ✓ | 100.0% | (fma.f64 x (-.f64 z y) y) |
| ✓ | 39.7% | (*.f64 z x) |
| ✓ | 33.3% | y |
Compiled 37 to 22 computations (40.5% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | -64 | (neg.f64 y) |
| ✓ | cost-diff | 0 | (fma.f64 x z y) |
| ✓ | cost-diff | 384 | (fma.f64 (neg.f64 y) x (fma.f64 x z y)) |
| 608× | accelerator-lowering-fma.f32 |
| 608× | accelerator-lowering-fma.f64 |
| 240× | *-lowering-*.f32 |
| 240× | *-lowering-*.f64 |
| 152× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 20 |
| 1 | 20 | 18 |
| 2 | 40 | 18 |
| 3 | 78 | 17 |
| 4 | 131 | 17 |
| 5 | 241 | 17 |
| 6 | 382 | 17 |
| 7 | 551 | 17 |
| 8 | 622 | 17 |
| 9 | 632 | 17 |
| 0 | 632 | 15 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+ (* (neg y) x) (+ (* x z) y)) |
(neg y) |
y |
x |
(+ (* x z) y) |
z |
| Outputs |
|---|
(+ (* (neg y) x) (+ (* x z) y)) |
(fma.f64 x (-.f64 z y) y) |
(neg y) |
(-.f64 #s(literal 0 binary64) y) |
y |
x |
(+ (* x z) y) |
(fma.f64 x z y) |
z |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (fma.f64 x z y) |
| ✓ | accuracy | 100.0% | (neg.f64 y) |
| ✓ | accuracy | 98.8% | (fma.f64 (neg.f64 y) x (fma.f64 x z y)) |
| 16.0ms | 256× | 0 | valid |
Compiled 19 to 10 computations (47.4% saved)
ival-mult: 3.0ms (44.5% of total)ival-add: 2.0ms (29.6% of total)ival-neg: 1.0ms (14.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* (neg y) x) (+ (* x z) y))> |
#<alt (+ (* x z) y)> |
#<alt (neg y)> |
| Outputs |
|---|
#<alt (* x z)> |
#<alt (+ (* x z) (* y (+ 1 (* -1 x))))> |
#<alt (+ (* x z) (* y (+ 1 (* -1 x))))> |
#<alt (+ (* x z) (* y (+ 1 (* -1 x))))> |
#<alt (* y (+ 1 (* -1 x)))> |
#<alt (* y (+ 1 (+ (* -1 x) (/ (* x z) y))))> |
#<alt (* y (+ 1 (+ (* -1 x) (/ (* x z) y))))> |
#<alt (* y (+ 1 (+ (* -1 x) (/ (* x z) y))))> |
#<alt (* -1 (* y (- x 1)))> |
#<alt (* -1 (* y (- (+ x (* -1 (/ (* x z) y))) 1)))> |
#<alt (* -1 (* y (- (+ x (* -1 (/ (* x z) y))) 1)))> |
#<alt (* -1 (* y (- (+ x (* -1 (/ (* x z) y))) 1)))> |
#<alt y> |
#<alt (+ y (* x (+ z (* -1 y))))> |
#<alt (+ y (* x (+ z (* -1 y))))> |
#<alt (+ y (* x (+ z (* -1 y))))> |
#<alt (* x (+ z (* -1 y)))> |
#<alt (* x (+ z (+ (* -1 y) (/ y x))))> |
#<alt (* x (+ z (+ (* -1 y) (/ y x))))> |
#<alt (* x (+ z (+ (* -1 y) (/ y x))))> |
#<alt (* -1 (* x (+ y (* -1 z))))> |
#<alt (* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x))))))> |
#<alt (* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x))))))> |
#<alt (* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x))))))> |
#<alt (+ y (* -1 (* x y)))> |
#<alt (+ y (+ (* -1 (* x y)) (* x z)))> |
#<alt (+ y (+ (* -1 (* x y)) (* x z)))> |
#<alt (+ y (+ (* -1 (* x y)) (* x z)))> |
#<alt (* x z)> |
#<alt (* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z))))> |
#<alt (* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z))))> |
#<alt (* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z))))> |
#<alt (* x z)> |
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (+ y (* -1 (* x y))) z)))))> |
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (+ y (* -1 (* x y))) z)))))> |
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (+ y (* -1 (* x y))) z)))))> |
#<alt y> |
#<alt (+ y (* x z))> |
#<alt (+ y (* x z))> |
#<alt (+ y (* x z))> |
#<alt (* x z)> |
#<alt (* x (+ z (/ y x)))> |
#<alt (* x (+ z (/ y x)))> |
#<alt (* x (+ z (/ y x)))> |
#<alt (* x z)> |
#<alt (* -1 (* x (+ (* -1 z) (* -1 (/ y x)))))> |
#<alt (* -1 (* x (+ (* -1 z) (* -1 (/ y x)))))> |
#<alt (* -1 (* x (+ (* -1 z) (* -1 (/ y x)))))> |
#<alt y> |
#<alt (+ y (* x z))> |
#<alt (+ y (* x z))> |
#<alt (+ y (* x z))> |
#<alt (* x z)> |
#<alt (* z (+ x (/ y z)))> |
#<alt (* z (+ x (/ y z)))> |
#<alt (* z (+ x (/ y z)))> |
#<alt (* x z)> |
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ y z)))))> |
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ y z)))))> |
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ y z)))))> |
#<alt (* x z)> |
#<alt (+ y (* x z))> |
#<alt (+ y (* x z))> |
#<alt (+ y (* x z))> |
#<alt y> |
#<alt (* y (+ 1 (/ (* x z) y)))> |
#<alt (* y (+ 1 (/ (* x z) y)))> |
#<alt (* y (+ 1 (/ (* x z) y)))> |
#<alt y> |
#<alt (* -1 (* y (- (* -1 (/ (* x z) y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ (* x z) y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ (* x z) y)) 1)))> |
#<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)> |
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | inf | (+ (* (neg y) x) (+ (* x z) y)) |
| 0.0ms | y | @ | 0 | (+ (* (neg y) x) (+ (* x z) y)) |
| 0.0ms | y | @ | -inf | (+ (* (neg y) x) (+ (* x z) y)) |
| 0.0ms | x | @ | -inf | (+ (* (neg y) x) (+ (* x z) y)) |
| 0.0ms | x | @ | inf | (+ (* (neg y) x) (+ (* x z) y)) |
| 1× | batch-egg-rewrite |
| 8 270× | accelerator-lowering-fma.f32 |
| 8 270× | accelerator-lowering-fma.f64 |
| 4 748× | *-lowering-*.f32 |
| 4 748× | *-lowering-*.f64 |
| 2 618× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 17 |
| 1 | 45 | 15 |
| 2 | 404 | 15 |
| 3 | 6353 | 15 |
| 0 | 8228 | 13 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (neg y) x) (+ (* x z) y)) |
(+ (* x z) y) |
(neg y) |
| Outputs |
|---|
(+.f64 y (*.f64 x (+.f64 (-.f64 #s(literal 0 binary64) y) z))) |
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) x) (fma.f64 x z y)) |
(+.f64 (*.f64 x z) (fma.f64 (-.f64 #s(literal 0 binary64) y) x y)) |
(+.f64 (fma.f64 x z y) (*.f64 (-.f64 #s(literal 0 binary64) y) x)) |
(+.f64 (*.f64 x (+.f64 (-.f64 #s(literal 0 binary64) y) z)) y) |
(+.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 (*.f64 x (-.f64 (-.f64 #s(literal 0 binary64) y) z)) y)) (neg.f64 (/.f64 (*.f64 (fma.f64 x z y) (fma.f64 x z y)) (-.f64 (*.f64 x (-.f64 (-.f64 #s(literal 0 binary64) y) z)) y)))) |
(+.f64 (fma.f64 (-.f64 #s(literal 0 binary64) y) x y) (*.f64 x z)) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 (-.f64 #s(literal 0 binary64) y) z) y))) #s(literal -1 binary64))) |
(-.f64 (fma.f64 x z y) (*.f64 y x)) |
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 y x) (fma.f64 x z y))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 z z))) (-.f64 (*.f64 x z) y)) (-.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) (-.f64 (*.f64 x z) y)) (*.f64 (-.f64 #s(literal 0 binary64) y) x))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 z z))) (-.f64 (*.f64 x z) y)) (fma.f64 y (/.f64 y (-.f64 (*.f64 x z) y)) (*.f64 y x))) |
(-.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 (*.f64 x (-.f64 (-.f64 #s(literal 0 binary64) y) z)) y)) (/.f64 (*.f64 (fma.f64 x z y) (fma.f64 x z y)) (-.f64 (*.f64 x (-.f64 (-.f64 #s(literal 0 binary64) y) z)) y))) |
(-.f64 (/.f64 (*.f64 (fma.f64 x z y) (fma.f64 x z y)) (+.f64 (fma.f64 x z y) (*.f64 y x))) (/.f64 (*.f64 y (*.f64 x (*.f64 y x))) (+.f64 (fma.f64 x z y) (*.f64 y x)))) |
(-.f64 (/.f64 (*.f64 x (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) y) z) (*.f64 x (+.f64 (-.f64 #s(literal 0 binary64) y) z)))) (fma.f64 x (+.f64 (-.f64 #s(literal 0 binary64) y) z) (-.f64 #s(literal 0 binary64) y))) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 x (+.f64 (-.f64 #s(literal 0 binary64) y) z) (-.f64 #s(literal 0 binary64) y)))) |
(-.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x (*.f64 x (*.f64 z z))) (-.f64 (*.f64 x z) y))) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (-.f64 (*.f64 x z) y))) |
(-.f64 (+.f64 (fma.f64 x z y) #s(literal 0 binary64)) (*.f64 y x)) |
(fma.f64 y (-.f64 #s(literal 0 binary64) x) (fma.f64 x z y)) |
(fma.f64 (-.f64 #s(literal 0 binary64) y) x (fma.f64 x z y)) |
(fma.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 (*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) y) x)) (-.f64 (*.f64 x (-.f64 (-.f64 #s(literal 0 binary64) y) z)) y)) (neg.f64 (/.f64 (*.f64 (fma.f64 x z y) (fma.f64 x z y)) (-.f64 (*.f64 x (-.f64 (-.f64 #s(literal 0 binary64) y) z)) y)))) |
(fma.f64 x (-.f64 #s(literal 0 binary64) y) (fma.f64 x z y)) |
(fma.f64 x z (fma.f64 (-.f64 #s(literal 0 binary64) y) x y)) |
(fma.f64 x (+.f64 (-.f64 #s(literal 0 binary64) y) z) y) |
(fma.f64 x (/.f64 (*.f64 y (*.f64 y x)) (-.f64 (*.f64 x (-.f64 (-.f64 #s(literal 0 binary64) y) z)) y)) (neg.f64 (/.f64 (*.f64 (fma.f64 x z y) (fma.f64 x z y)) (-.f64 (*.f64 x (-.f64 (-.f64 #s(literal 0 binary64) y) z)) y)))) |
(fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) x) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) x) (-.f64 (*.f64 x (-.f64 (-.f64 #s(literal 0 binary64) y) z)) y)) (neg.f64 (/.f64 (*.f64 (fma.f64 x z y) (fma.f64 x z y)) (-.f64 (*.f64 x (-.f64 (-.f64 #s(literal 0 binary64) y) z)) y)))) |
(fma.f64 z x (fma.f64 (-.f64 #s(literal 0 binary64) y) x y)) |
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(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x z) (-.f64 (*.f64 x z) y) (fma.f64 y y #s(literal 0 binary64)))) (*.f64 (fma.f64 x z y) (fma.f64 (*.f64 x z) (-.f64 (*.f64 x z) y) (fma.f64 y y #s(literal 0 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x z) y)) (*.f64 (fma.f64 x z y) (-.f64 (*.f64 x z) y))) |
(*.f64 (*.f64 (fma.f64 x z y) (-.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) (-.f64 y (*.f64 x z)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 x z y) (-.f64 (*.f64 x z) y)) (*.f64 (fma.f64 x z y) (-.f64 (*.f64 x z) y))) (fma.f64 x z y)) |
(*.f64 (/.f64 (*.f64 (fma.f64 x z y) (fma.f64 (*.f64 x z) (-.f64 (*.f64 x z) y) (fma.f64 y y #s(literal 0 binary64)))) (fma.f64 (*.f64 y (-.f64 y (*.f64 x z))) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 (-.f64 y (*.f64 x z)) (-.f64 y (*.f64 x z)))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z)))))) (fma.f64 (*.f64 y (-.f64 y (*.f64 x z))) (-.f64 (*.f64 y (-.f64 y (*.f64 x z))) (*.f64 x (*.f64 x (*.f64 z z)))) (*.f64 (*.f64 x z) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z)))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 x z y) (fma.f64 (*.f64 x z) (-.f64 (*.f64 x z) y) (fma.f64 y y #s(literal 0 binary64)))) (*.f64 (fma.f64 (*.f64 x z) (-.f64 (*.f64 x z) y) (fma.f64 y y #s(literal 0 binary64))) (fma.f64 (fma.f64 x z y) (-.f64 (*.f64 x z) y) (*.f64 y (*.f64 x z))))) (fma.f64 (fma.f64 x z y) (-.f64 (*.f64 x z) y) (*.f64 y (*.f64 x z)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 x z y) (-.f64 (*.f64 x z) y)) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))) (*.f64 y (fma.f64 y y #s(literal 0 binary64))))) (fma.f64 y (fma.f64 x z y) (*.f64 x (*.f64 x (*.f64 z z))))) |
(+.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) |
(-.f64 #s(literal 0 binary64) y) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) (/.f64 (*.f64 y (fma.f64 y y #s(literal 0 binary64))) (fma.f64 y y #s(literal 0 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 (fma.f64 y y #s(literal 0 binary64)) y)) |
(fma.f64 y #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) y #s(literal 0 binary64)) |
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 y y #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) #s(literal 0 binary64)) |
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) |
(neg.f64 y) |
(/.f64 (fma.f64 y y #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) y)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 y y #s(literal 0 binary64)))) (fma.f64 y y #s(literal 0 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 y y #s(literal 0 binary64)))) (+.f64 #s(literal 0 binary64) (-.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 y y #s(literal 0 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) y) |
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 y y #s(literal 0 binary64))))) (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))) |
(pow.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 y y #s(literal 0 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))) #s(literal -1 binary64)) |
(*.f64 y #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) y) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 y y #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) y)) |
| 1× | egg-herbie |
| 7 206× | accelerator-lowering-fma.f32 |
| 7 206× | accelerator-lowering-fma.f64 |
| 2 734× | *-lowering-*.f32 |
| 2 734× | *-lowering-*.f64 |
| 1 080× | associate-/r/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 488 |
| 1 | 242 | 402 |
| 2 | 642 | 402 |
| 3 | 1647 | 402 |
| 4 | 4161 | 402 |
| 5 | 6282 | 402 |
| 0 | 8056 | 348 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x z) |
(+ (* x z) (* y (+ 1 (* -1 x)))) |
(+ (* x z) (* y (+ 1 (* -1 x)))) |
(+ (* x z) (* y (+ 1 (* -1 x)))) |
(* y (+ 1 (* -1 x))) |
(* y (+ 1 (+ (* -1 x) (/ (* x z) y)))) |
(* y (+ 1 (+ (* -1 x) (/ (* x z) y)))) |
(* y (+ 1 (+ (* -1 x) (/ (* x z) y)))) |
(* -1 (* y (- x 1))) |
(* -1 (* y (- (+ x (* -1 (/ (* x z) y))) 1))) |
(* -1 (* y (- (+ x (* -1 (/ (* x z) y))) 1))) |
(* -1 (* y (- (+ x (* -1 (/ (* x z) y))) 1))) |
y |
(+ y (* x (+ z (* -1 y)))) |
(+ y (* x (+ z (* -1 y)))) |
(+ y (* x (+ z (* -1 y)))) |
(* x (+ z (* -1 y))) |
(* x (+ z (+ (* -1 y) (/ y x)))) |
(* x (+ z (+ (* -1 y) (/ y x)))) |
(* x (+ z (+ (* -1 y) (/ y x)))) |
(* -1 (* x (+ y (* -1 z)))) |
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) |
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) |
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) |
(+ y (* -1 (* x y))) |
(+ y (+ (* -1 (* x y)) (* x z))) |
(+ y (+ (* -1 (* x y)) (* x z))) |
(+ y (+ (* -1 (* x y)) (* x z))) |
(* x z) |
(* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z)))) |
(* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z)))) |
(* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z)))) |
(* x z) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (+ y (* -1 (* x y))) z))))) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (+ y (* -1 (* x y))) z))))) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (+ y (* -1 (* x y))) z))))) |
y |
(+ y (* x z)) |
(+ y (* x z)) |
(+ y (* x z)) |
(* x z) |
(* x (+ z (/ y x))) |
(* x (+ z (/ y x))) |
(* x (+ z (/ y x))) |
(* x z) |
(* -1 (* x (+ (* -1 z) (* -1 (/ y x))))) |
(* -1 (* x (+ (* -1 z) (* -1 (/ y x))))) |
(* -1 (* x (+ (* -1 z) (* -1 (/ y x))))) |
y |
(+ y (* x z)) |
(+ y (* x z)) |
(+ y (* x z)) |
(* x z) |
(* z (+ x (/ y z))) |
(* z (+ x (/ y z))) |
(* z (+ x (/ y z))) |
(* x z) |
(* -1 (* z (+ (* -1 x) (* -1 (/ y z))))) |
(* -1 (* z (+ (* -1 x) (* -1 (/ y z))))) |
(* -1 (* z (+ (* -1 x) (* -1 (/ y z))))) |
(* x z) |
(+ y (* x z)) |
(+ y (* x z)) |
(+ y (* x z)) |
y |
(* y (+ 1 (/ (* x z) y))) |
(* y (+ 1 (/ (* x z) y))) |
(* y (+ 1 (/ (* x z) y))) |
y |
(* -1 (* y (- (* -1 (/ (* x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (* x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (* x z) y)) 1))) |
(* -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 |
|---|
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(+ (* x z) (* y (+ 1 (* -1 x)))) |
(fma.f64 x (-.f64 z y) y) |
(+ (* x z) (* y (+ 1 (* -1 x)))) |
(fma.f64 x (-.f64 z y) y) |
(+ (* x z) (* y (+ 1 (* -1 x)))) |
(fma.f64 x (-.f64 z y) y) |
(* y (+ 1 (* -1 x))) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(* y (+ 1 (+ (* -1 x) (/ (* x z) y)))) |
(fma.f64 x (-.f64 z y) y) |
(* y (+ 1 (+ (* -1 x) (/ (* x z) y)))) |
(fma.f64 x (-.f64 z y) y) |
(* y (+ 1 (+ (* -1 x) (/ (* x z) y)))) |
(fma.f64 x (-.f64 z y) y) |
(* -1 (* y (- x 1))) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(* -1 (* y (- (+ x (* -1 (/ (* x z) y))) 1))) |
(fma.f64 x (-.f64 z y) y) |
(* -1 (* y (- (+ x (* -1 (/ (* x z) y))) 1))) |
(fma.f64 x (-.f64 z y) y) |
(* -1 (* y (- (+ x (* -1 (/ (* x z) y))) 1))) |
(fma.f64 x (-.f64 z y) y) |
y |
(+ y (* x (+ z (* -1 y)))) |
(fma.f64 x (-.f64 z y) y) |
(+ y (* x (+ z (* -1 y)))) |
(fma.f64 x (-.f64 z y) y) |
(+ y (* x (+ z (* -1 y)))) |
(fma.f64 x (-.f64 z y) y) |
(* x (+ z (* -1 y))) |
(fma.f64 x (-.f64 z y) #s(literal 0 binary64)) |
(* x (+ z (+ (* -1 y) (/ y x)))) |
(fma.f64 x (-.f64 z y) y) |
(* x (+ z (+ (* -1 y) (/ y x)))) |
(fma.f64 x (-.f64 z y) y) |
(* x (+ z (+ (* -1 y) (/ y x)))) |
(fma.f64 x (-.f64 z y) y) |
(* -1 (* x (+ y (* -1 z)))) |
(fma.f64 x (-.f64 z y) #s(literal 0 binary64)) |
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) |
(fma.f64 x (-.f64 z y) y) |
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) |
(fma.f64 x (-.f64 z y) y) |
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) |
(fma.f64 x (-.f64 z y) y) |
(+ y (* -1 (* x y))) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(+ y (+ (* -1 (* x y)) (* x z))) |
(fma.f64 x (-.f64 z y) y) |
(+ y (+ (* -1 (* x y)) (* x z))) |
(fma.f64 x (-.f64 z y) y) |
(+ y (+ (* -1 (* x y)) (* x z))) |
(fma.f64 x (-.f64 z y) y) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z)))) |
(fma.f64 x (-.f64 z y) y) |
(* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z)))) |
(fma.f64 x (-.f64 z y) y) |
(* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z)))) |
(fma.f64 x (-.f64 z y) y) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (+ y (* -1 (* x y))) z))))) |
(fma.f64 x (-.f64 z y) y) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (+ y (* -1 (* x y))) z))))) |
(fma.f64 x (-.f64 z y) y) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (+ y (* -1 (* x y))) z))))) |
(fma.f64 x (-.f64 z y) y) |
y |
(+ y (* x z)) |
(fma.f64 x z y) |
(+ y (* x z)) |
(fma.f64 x z y) |
(+ y (* x z)) |
(fma.f64 x z y) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* x (+ z (/ y x))) |
(fma.f64 x z y) |
(* x (+ z (/ y x))) |
(fma.f64 x z y) |
(* x (+ z (/ y x))) |
(fma.f64 x z y) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* -1 (* x (+ (* -1 z) (* -1 (/ y x))))) |
(fma.f64 x z y) |
(* -1 (* x (+ (* -1 z) (* -1 (/ y x))))) |
(fma.f64 x z y) |
(* -1 (* x (+ (* -1 z) (* -1 (/ y x))))) |
(fma.f64 x z y) |
y |
(+ y (* x z)) |
(fma.f64 x z y) |
(+ y (* x z)) |
(fma.f64 x z y) |
(+ y (* x z)) |
(fma.f64 x z y) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* z (+ x (/ y z))) |
(fma.f64 x z y) |
(* z (+ x (/ y z))) |
(fma.f64 x z y) |
(* z (+ x (/ y z))) |
(fma.f64 x z y) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(* -1 (* z (+ (* -1 x) (* -1 (/ y z))))) |
(fma.f64 x z y) |
(* -1 (* z (+ (* -1 x) (* -1 (/ y z))))) |
(fma.f64 x z y) |
(* -1 (* z (+ (* -1 x) (* -1 (/ y z))))) |
(fma.f64 x z y) |
(* x z) |
(fma.f64 x z #s(literal 0 binary64)) |
(+ y (* x z)) |
(fma.f64 x z y) |
(+ y (* x z)) |
(fma.f64 x z y) |
(+ y (* x z)) |
(fma.f64 x z y) |
y |
(* y (+ 1 (/ (* x z) y))) |
(fma.f64 x z y) |
(* y (+ 1 (/ (* x z) y))) |
(fma.f64 x z y) |
(* y (+ 1 (/ (* x z) y))) |
(fma.f64 x z y) |
y |
(* -1 (* y (- (* -1 (/ (* x z) y)) 1))) |
(fma.f64 x z y) |
(* -1 (* y (- (* -1 (/ (* x z) y)) 1))) |
(fma.f64 x z y) |
(* -1 (* y (- (* -1 (/ (* x z) y)) 1))) |
(fma.f64 x z 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) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
Compiled 9 024 to 629 computations (93% saved)
6 alts after pruning (1 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 299 | 1 | 300 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 4 | 4 |
| Total | 299 | 6 | 305 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 98.8% | (fma.f64 (neg.f64 y) x (fma.f64 x z y)) |
| 63.0% | (fma.f64 (neg.f64 y) x y) | |
| ✓ | 70.5% | (fma.f64 z x y) |
| ✓ | 100.0% | (fma.f64 x (-.f64 z y) y) |
| ✓ | 39.7% | (*.f64 z x) |
| ✓ | 33.3% | y |
Compiled 120 to 54 computations (55% saved)
| Inputs |
|---|
y |
(*.f64 z x) |
(fma.f64 x z #s(literal 0 binary64)) |
(fma.f64 z x y) |
(+.f64 y (*.f64 x z)) |
(fma.f64 (neg.f64 y) x y) |
(fma.f64 x (-.f64 z y) y) |
(fma.f64 z x (-.f64 y (*.f64 x y))) |
(fma.f64 (neg.f64 y) x (fma.f64 x z y)) |
(fma.f64 (-.f64 #s(literal 0 binary64) y) x (fma.f64 x z y)) |
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) |
(+.f64 y (fma.f64 y (-.f64 #s(literal 0 binary64) x) (*.f64 x z))) |
| Outputs |
|---|
(fma.f64 x (-.f64 z y) y) |
4 calls:
| 18.0ms | x |
| 4.0ms | z |
| 4.0ms | y |
| 4.0ms | (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | z |
| 100.0% | 1 | (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
y |
(*.f64 z x) |
(fma.f64 x z #s(literal 0 binary64)) |
(fma.f64 z x y) |
(+.f64 y (*.f64 x z)) |
(fma.f64 (neg.f64 y) x y) |
| Outputs |
|---|
(fma.f64 (neg.f64 y) x y) |
(fma.f64 z x y) |
(fma.f64 (neg.f64 y) x y) |
4 calls:
| 3.0ms | y |
| 3.0ms | x |
| 3.0ms | z |
| 3.0ms | (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.9% | 2 | x |
| 88.4% | 3 | y |
| 83.3% | 3 | z |
| 77.2% | 3 | (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
y |
(*.f64 z x) |
(fma.f64 x z #s(literal 0 binary64)) |
(fma.f64 z x y) |
(+.f64 y (*.f64 x z)) |
| Outputs |
|---|
(fma.f64 z x y) |
4 calls:
| 115.0ms | z |
| 2.0ms | y |
| 2.0ms | (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.5% | 1 | x |
| 70.5% | 1 | (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) |
| 70.5% | 1 | z |
| 70.5% | 1 | y |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
y |
(*.f64 z x) |
(fma.f64 x z #s(literal 0 binary64)) |
| Outputs |
|---|
(*.f64 z x) |
y |
(*.f64 z x) |
4 calls:
| 2.0ms | (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) |
| 2.0ms | y |
| 2.0ms | z |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.4% | 3 | y |
| 62.1% | 3 | x |
| 52.3% | 3 | z |
| 48.2% | 5 | (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) |
Compiled 24 to 17 computations (29.2% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
y |
| Outputs |
|---|
y |
4 calls:
| 13.0ms | z |
| 1.0ms | (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) |
| 1.0ms | y |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 33.3% | 1 | (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) |
| 33.3% | 1 | z |
| 33.3% | 1 | y |
| 33.3% | 1 | x |
Compiled 24 to 17 computations (29.2% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 2.0966764993145457e-81 | 2.2946742711667343e-54 |
| 12.0ms | -5.754459321198052e-40 | -2.934319657194587e-51 |
| 16.0ms | 336× | 0 | valid |
Compiled 372 to 245 computations (34.1% saved)
ival-mult: 4.0ms (51.8% of total)ival-sub: 2.0ms (25.9% of total)ival-add: 1.0ms (13% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 7.307463706858185e-34 | 9.04972863046059e-29 |
| 10.0ms | -4.903464800409133e-53 | -5.569382357888758e-56 |
| 13.0ms | 272× | 0 | valid |
Compiled 219 to 167 computations (23.7% saved)
ival-mult: 3.0ms (48.2% of total)ival-sub: 1.0ms (16.1% of total)ival-add: 1.0ms (16.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 4× | *-commutative_binary64 |
| 4× | +-commutative_binary64 |
| 4× | sub-neg_binary64 |
| 4× | if-if-or-not_binary32 |
| 2× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 42 |
| 1 | 33 | 42 |
| 2 | 36 | 42 |
| 3 | 37 | 42 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 x (-.f64 z y) y) |
(if (<=.f64 y #s(literal -206886898016895/1532495540865888858358347027150309183618739122183602176 binary64)) (fma.f64 (neg.f64 y) x y) (if (<=.f64 y #s(literal 4856672230564323/121416805764108066932466369176469931665150427440758720078238275608681517825325531136 binary64)) (fma.f64 z x y) (fma.f64 (neg.f64 y) x y))) |
(fma.f64 z x y) |
(if (<=.f64 x #s(literal -5176309760092923/107839786668602559178668060348078522694548577690162289924414440996864 binary64)) (*.f64 z x) (if (<=.f64 x #s(literal 1248841731117715/22300745198530623141535718272648361505980416 binary64)) y (*.f64 z x))) |
y |
| Outputs |
|---|
(fma.f64 x (-.f64 z y) y) |
(if (<=.f64 y #s(literal -206886898016895/1532495540865888858358347027150309183618739122183602176 binary64)) (fma.f64 (neg.f64 y) x y) (if (<=.f64 y #s(literal 4856672230564323/121416805764108066932466369176469931665150427440758720078238275608681517825325531136 binary64)) (fma.f64 z x y) (fma.f64 (neg.f64 y) x y))) |
(if (<=.f64 y #s(literal -206886898016895/1532495540865888858358347027150309183618739122183602176 binary64)) (fma.f64 (-.f64 #s(literal 0 binary64) y) x y) (if (<=.f64 y #s(literal 4856672230564323/121416805764108066932466369176469931665150427440758720078238275608681517825325531136 binary64)) (fma.f64 z x y) (fma.f64 (-.f64 #s(literal 0 binary64) y) x y))) |
(fma.f64 z x y) |
(if (<=.f64 x #s(literal -5176309760092923/107839786668602559178668060348078522694548577690162289924414440996864 binary64)) (*.f64 z x) (if (<=.f64 x #s(literal 1248841731117715/22300745198530623141535718272648361505980416 binary64)) y (*.f64 z x))) |
(if (<=.f64 x #s(literal -5176309760092923/107839786668602559178668060348078522694548577690162289924414440996864 binary64)) (*.f64 x z) (if (<=.f64 x #s(literal 1248841731117715/22300745198530623141535718272648361505980416 binary64)) y (*.f64 x z))) |
y |
| 15 980× | accelerator-lowering-fma.f32 |
| 15 980× | accelerator-lowering-fma.f64 |
| 9 438× | accelerator-lowering-fma.f32 |
| 9 438× | accelerator-lowering-fma.f64 |
| 7 472× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 38 |
| 1 | 102 | 38 |
| 2 | 1056 | 35 |
| 0 | 8723 | 32 |
| 0 | 71 | 488 |
| 1 | 242 | 402 |
| 2 | 642 | 402 |
| 3 | 1647 | 402 |
| 4 | 4161 | 402 |
| 5 | 6282 | 402 |
| 0 | 8056 | 348 |
| 0 | 14 | 41 |
| 1 | 101 | 39 |
| 2 | 842 | 37 |
| 0 | 9036 | 33 |
| 0 | 57 | 471 |
| 1 | 192 | 442 |
| 2 | 558 | 442 |
| 3 | 1391 | 442 |
| 4 | 3878 | 442 |
| 5 | 6295 | 442 |
| 0 | 8006 | 415 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 141 to 79 computations (44% saved)
Compiled 150 to 72 computations (52% saved)
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