
Time bar (total: 14.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 9 to 8 computations (11.1% saved)
| 485.0ms | 8 256× | 0 | valid |
ival-mult: 138.0ms (68.8% of total)ival-add: 54.0ms (26.9% of total)ival-true: 6.0ms (3% of total)ival-assert: 3.0ms (1.5% of total)| 2× | egg-herbie |
| 230× | unsub-neg |
| 166× | associate-*r* |
| 146× | distribute-lft-in |
| 128× | distribute-rgt-in |
| 108× | distribute-lft-neg-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 77 |
| 1 | 82 | 71 |
| 2 | 184 | 71 |
| 3 | 443 | 71 |
| 4 | 806 | 71 |
| 5 | 1064 | 71 |
| 6 | 1090 | 71 |
| 0 | 6 | 7 |
| 1 | 11 | 7 |
| 2 | 12 | 7 |
| 0 | 12 | 6 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(+ x (* (* y z) z)) |
| Outputs |
|---|
(+ x (* (* y z) z)) |
(fma.f64 y (*.f64 z z) x) |
| Inputs |
|---|
(+ x (* (* y z) z)) |
(+ (neg x) (* (* y z) z)) |
(+ x (* (* (neg y) z) z)) |
(+ x (* (* y (neg z)) (neg z))) |
(neg (+ (neg x) (* (* y z) z))) |
(neg (+ x (* (* (neg y) z) z))) |
(neg (+ x (* (* y (neg z)) (neg z)))) |
(+ y (* (* x z) z)) |
(+ z (* (* y x) x)) |
(+ x (* (* z y) y)) |
| Outputs |
|---|
(+ x (* (* y z) z)) |
(+ x (* y (* z z))) |
(+ (neg x) (* (* y z) z)) |
(- (* y (* z z)) x) |
(+ x (* (* (neg y) z) z)) |
(- x (* y (* z z))) |
(+ x (* (* y (neg z)) (neg z))) |
(+ x (* y (* z z))) |
(neg (+ (neg x) (* (* y z) z))) |
(- x (* y (* z z))) |
(neg (+ x (* (* (neg y) z) z))) |
(- (* y (* z z)) x) |
(neg (+ x (* (* y (neg z)) (neg z)))) |
(- (neg x) (* y (* z z))) |
(+ y (* (* x z) z)) |
(+ y (* z (* x z))) |
(+ z (* (* y x) x)) |
(+ z (* x (* x y))) |
(+ x (* (* z y) y)) |
(+ x (* y (* y z))) |
(abs z)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 y z) z) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 y z) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (+.f64 x (*.f64 (*.f64 y z) z)) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 24.0ms | 512× | 0 | valid |
Compiled 60 to 28 computations (53.3% saved)
ival-mult: 8.0ms (76% of total)ival-add: 2.0ms (19% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (+.f64 x (*.f64 (*.f64 y z) z)) |
Compiled 10 to 6 computations (40% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 y z) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 y z) z) |
| ✓ | cost-diff | 128 | (+.f64 x (*.f64 (*.f64 y z) z)) |
| 14× | *-lowering-*.f32 |
| 14× | *-lowering-*.f64 |
| 8× | accelerator-lowering-fma.f32 |
| 8× | accelerator-lowering-fma.f64 |
| 4× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 18 |
| 1 | 11 | 18 |
| 2 | 12 | 18 |
| 0 | 12 | 17 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+ x (* (* y z) z)) |
x |
(* (* y z) z) |
(* y z) |
y |
z |
| Outputs |
|---|
(+ x (* (* y z) z)) |
(fma.f64 y (*.f64 z z) x) |
x |
(* (* y z) z) |
(*.f64 y (*.f64 z z)) |
(* y z) |
(*.f64 y z) |
y |
z |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 y z) |
| ✓ | accuracy | 100.0% | (+.f64 x (*.f64 (*.f64 y z) z)) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 y z) z) |
| 12.0ms | 256× | 0 | valid |
Compiled 20 to 8 computations (60% saved)
ival-mult: 3.0ms (63.5% of total)ival-add: 1.0ms (21.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ x (* (* y z) z))> |
#<alt (* (* y z) z)> |
#<alt (* y z)> |
| Outputs |
|---|
#<alt (* y (pow z 2))> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (+ x (* y (pow z 2)))> |
#<alt x> |
#<alt (* x (+ 1 (/ (* y (pow z 2)) x)))> |
#<alt (* x (+ 1 (/ (* y (pow z 2)) x)))> |
#<alt (* x (+ 1 (/ (* y (pow z 2)) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))> |
#<alt x> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (* y (pow z 2))> |
#<alt (* y (+ (/ x y) (pow z 2)))> |
#<alt (* y (+ (/ x y) (pow z 2)))> |
#<alt (* y (+ (/ x y) (pow z 2)))> |
#<alt (* y (pow z 2))> |
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))> |
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))> |
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))> |
#<alt x> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (* y (pow z 2))> |
#<alt (* (pow z 2) (+ y (/ x (pow z 2))))> |
#<alt (* (pow z 2) (+ y (/ x (pow z 2))))> |
#<alt (* (pow z 2) (+ y (/ x (pow z 2))))> |
#<alt (* y (pow z 2))> |
#<alt (* (pow z 2) (+ y (/ x (pow z 2))))> |
#<alt (* (pow z 2) (+ y (/ x (pow z 2))))> |
#<alt (* (pow z 2) (+ y (/ x (pow z 2))))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (+ x (* (* y z) z)) |
| 1.0ms | z | @ | 0 | (* y z) |
| 0.0ms | z | @ | 0 | (+ x (* (* y z) z)) |
| 0.0ms | z | @ | inf | (+ x (* (* y z) z)) |
| 0.0ms | y | @ | 0 | (+ x (* (* y z) z)) |
| 1× | batch-egg-rewrite |
| 13 740× | accelerator-lowering-fma.f32 |
| 13 740× | accelerator-lowering-fma.f64 |
| 4 866× | *-lowering-*.f32 |
| 4 866× | *-lowering-*.f64 |
| 3 952× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 15 |
| 1 | 24 | 15 |
| 2 | 176 | 15 |
| 3 | 1771 | 15 |
| 0 | 8572 | 14 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (* (* y z) z)) |
(* (* y z) z) |
(* y z) |
| Outputs |
|---|
(+.f64 x (*.f64 y (*.f64 z z))) |
(+.f64 (*.f64 y (*.f64 z z)) x) |
(+.f64 (/.f64 (*.f64 x x) (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x)) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y (*.f64 (*.f64 y (*.f64 z z)) (*.f64 z z))) (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x)))) |
(+.f64 (/.f64 (*.f64 y (*.f64 (*.f64 y (*.f64 z z)) (*.f64 z z))) (fma.f64 y (*.f64 z z) (-.f64 #s(literal 0 binary64) x))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 y (*.f64 z z) (-.f64 #s(literal 0 binary64) x))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) x))) #s(literal -1 binary64))) |
(-.f64 x (*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)))) |
(-.f64 (/.f64 (*.f64 x x) (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x)) (/.f64 (*.f64 y (*.f64 (*.f64 y (*.f64 z z)) (*.f64 z z))) (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 z z) x))) |
(-.f64 (/.f64 (*.f64 y (*.f64 (*.f64 y (*.f64 z z)) (*.f64 z z))) (fma.f64 y (*.f64 z z) (-.f64 #s(literal 0 binary64) x))) (/.f64 (*.f64 x x) (fma.f64 y (*.f64 z z) (-.f64 #s(literal 0 binary64) x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 y (*.f64 z z)))) (-.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 z z) x))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 (*.f64 y (*.f64 z z)) (fma.f64 y (*.f64 z z) x) (*.f64 x x)) (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x))) (fma.f64 x x (*.f64 y (*.f64 (*.f64 z z) (fma.f64 y (*.f64 z z) (-.f64 #s(literal 0 binary64) x)))))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 z (*.f64 (*.f64 y z) y)))) (*.f64 y (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 z (*.f64 (*.f64 y z) y))))) (*.f64 (fma.f64 (*.f64 y (*.f64 z z)) (fma.f64 y (*.f64 z z) x) (*.f64 x x)) (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x))) (fma.f64 x x (*.f64 y (*.f64 (*.f64 z z) (fma.f64 y (*.f64 z z) (-.f64 #s(literal 0 binary64) x))))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 y (*.f64 (*.f64 y (*.f64 z z)) (*.f64 z z))) (fma.f64 x x (*.f64 y (*.f64 (*.f64 y (*.f64 z z)) (*.f64 z z)))) (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x)) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 z (*.f64 (*.f64 y z) y)))) (*.f64 y (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 z (*.f64 (*.f64 y z) y))))) (fma.f64 (*.f64 y (*.f64 (*.f64 y (*.f64 z z)) (*.f64 z z))) (fma.f64 x x (*.f64 y (*.f64 (*.f64 y (*.f64 z z)) (*.f64 z z)))) (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x))) |
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x (*.f64 y (*.f64 (*.f64 y (*.f64 z z)) (*.f64 z z))))) (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x)) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 z z)) (*.f64 y (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 z (*.f64 (*.f64 y z) y))))) (fma.f64 x x (*.f64 y (*.f64 (*.f64 y (*.f64 z z)) (*.f64 z z))))) (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 y (*.f64 (*.f64 z z) (fma.f64 y (*.f64 z z) (-.f64 #s(literal 0 binary64) x))))))) (-.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 z z) x))) |
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x x (*.f64 y (*.f64 (*.f64 z z) (fma.f64 y (*.f64 z z) (-.f64 #s(literal 0 binary64) x))))) (*.f64 (fma.f64 (*.f64 y (*.f64 z z)) (fma.f64 y (*.f64 z z) x) (*.f64 x x)) (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x)))) (/.f64 (*.f64 (*.f64 y (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 z (*.f64 (*.f64 y z) y)))) (*.f64 y (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 z (*.f64 (*.f64 y z) y))))) (*.f64 (fma.f64 x x (*.f64 y (*.f64 (*.f64 z z) (fma.f64 y (*.f64 z z) (-.f64 #s(literal 0 binary64) x))))) (*.f64 (fma.f64 (*.f64 y (*.f64 z z)) (fma.f64 y (*.f64 z z) x) (*.f64 x x)) (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x) (fma.f64 (*.f64 y (*.f64 (*.f64 y (*.f64 z z)) (*.f64 z z))) (fma.f64 x x (*.f64 y (*.f64 (*.f64 y (*.f64 z z)) (*.f64 z z)))) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 (*.f64 (*.f64 y (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 z (*.f64 (*.f64 y z) y)))) (*.f64 y (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 z (*.f64 (*.f64 y z) y))))) (*.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x) (fma.f64 (*.f64 y (*.f64 (*.f64 y (*.f64 z z)) (*.f64 z z))) (fma.f64 x x (*.f64 y (*.f64 (*.f64 y (*.f64 z z)) (*.f64 z z)))) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x) (fma.f64 x x (*.f64 y (*.f64 (*.f64 y (*.f64 z z)) (*.f64 z z)))))) (/.f64 (*.f64 (*.f64 y (*.f64 z z)) (*.f64 y (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 z (*.f64 (*.f64 y z) y))))) (*.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x) (fma.f64 x x (*.f64 y (*.f64 (*.f64 y (*.f64 z z)) (*.f64 z z))))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x)) (*.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x) (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x))) (/.f64 (*.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x) (*.f64 y (*.f64 (*.f64 y (*.f64 z z)) (*.f64 z z)))) (*.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x) (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x)))) |
(-.f64 (/.f64 (*.f64 (/.f64 (*.f64 x x) (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x)) (*.f64 (/.f64 (*.f64 x x) (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x)) (/.f64 (*.f64 x x) (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x)))) (fma.f64 (*.f64 x x) (*.f64 (/.f64 x (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x)) (/.f64 x (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x))) (fma.f64 (*.f64 y (*.f64 (*.f64 y (*.f64 z z)) (*.f64 z z))) (*.f64 (/.f64 (*.f64 y (*.f64 z z)) (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x)) (/.f64 (*.f64 y (*.f64 z z)) (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x))) (*.f64 (/.f64 (*.f64 x x) (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x)) (/.f64 (*.f64 y (*.f64 (*.f64 y (*.f64 z z)) (*.f64 z z))) (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x)))))) (/.f64 (pow.f64 (/.f64 (*.f64 y (*.f64 (*.f64 y (*.f64 z z)) (*.f64 z z))) (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x)) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) (*.f64 (/.f64 x (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x)) (/.f64 x (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x))) (fma.f64 (*.f64 y (*.f64 (*.f64 y (*.f64 z z)) (*.f64 z z))) (*.f64 (/.f64 (*.f64 y (*.f64 z z)) (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x)) (/.f64 (*.f64 y (*.f64 z z)) (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x))) (*.f64 (/.f64 (*.f64 x x) (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x)) (/.f64 (*.f64 y (*.f64 (*.f64 y (*.f64 z z)) (*.f64 z z))) (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x))))))) |
(-.f64 (/.f64 (*.f64 (/.f64 (*.f64 x x) (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x)) (/.f64 (*.f64 x x) (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x))) (fma.f64 x (/.f64 x (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x)) (/.f64 (*.f64 y (*.f64 (*.f64 y (*.f64 z z)) (*.f64 z z))) (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x)))) (/.f64 (*.f64 (*.f64 y (*.f64 (*.f64 y (*.f64 z z)) (*.f64 z z))) (*.f64 (/.f64 (*.f64 y (*.f64 z z)) (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x)) (/.f64 (*.f64 y (*.f64 z z)) (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x)))) (fma.f64 x (/.f64 x (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x)) (/.f64 (*.f64 y (*.f64 (*.f64 y (*.f64 z z)) (*.f64 z z))) (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x))))) |
(fma.f64 x (/.f64 x (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x)) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y (*.f64 (*.f64 y (*.f64 z z)) (*.f64 z z))) (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x)))) |
(fma.f64 y (*.f64 z z) x) |
(fma.f64 z (*.f64 y z) x) |
(fma.f64 z (pow.f64 (*.f64 y z) #s(literal 1 binary64)) x) |
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(*.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x)) (/.f64 (*.f64 x x) (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x))) (*.f64 (*.f64 y (*.f64 (*.f64 y (*.f64 z z)) (*.f64 z z))) (*.f64 (/.f64 (*.f64 y (*.f64 z z)) (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x)) (/.f64 (*.f64 y (*.f64 z z)) (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x)) (/.f64 (*.f64 y (*.f64 (*.f64 y (*.f64 z z)) (*.f64 z z))) (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 9 binary64))) (fma.f64 x x (*.f64 y (*.f64 (*.f64 z z) (fma.f64 y (*.f64 z z) (-.f64 #s(literal 0 binary64) x)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 y (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 z (*.f64 (*.f64 y z) y)))) (-.f64 (*.f64 y (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 z (*.f64 (*.f64 y z) y)))) (*.f64 x (*.f64 x x))))))) |
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 y (*.f64 z z) x) (fma.f64 x x (*.f64 y (*.f64 (*.f64 z z) (fma.f64 y (*.f64 z z) (-.f64 #s(literal 0 binary64) x)))))) (*.f64 (fma.f64 (*.f64 y (*.f64 z z)) (fma.f64 y (*.f64 z z) x) (*.f64 x x)) (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x))) (fma.f64 x x (*.f64 y (*.f64 (*.f64 z z) (fma.f64 y (*.f64 z z) (-.f64 #s(literal 0 binary64) x)))))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y (*.f64 z z)) (fma.f64 y (*.f64 z z) x) (*.f64 x x)) (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x)))) |
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 y (*.f64 z z) x) (fma.f64 x x (*.f64 y (*.f64 (*.f64 z z) (fma.f64 y (*.f64 z z) (-.f64 #s(literal 0 binary64) x)))))) (*.f64 (fma.f64 (*.f64 y (*.f64 z z)) (fma.f64 y (*.f64 z z) x) (*.f64 x x)) (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x))) (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 (*.f64 y (*.f64 z z)) (*.f64 z z))) (fma.f64 x x (*.f64 y (*.f64 (*.f64 y (*.f64 z z)) (*.f64 z z)))) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 x x (*.f64 y (*.f64 (*.f64 y (*.f64 z z)) (*.f64 z z)))) (*.f64 (fma.f64 y (*.f64 z z) x) (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x))) (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (*.f64 (*.f64 y (*.f64 z z)) (*.f64 z z)))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 y (*.f64 z z) x) (fma.f64 x x (*.f64 y (*.f64 (*.f64 z z) (fma.f64 y (*.f64 z z) (-.f64 #s(literal 0 binary64) x)))))) (fma.f64 (*.f64 y (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 z (*.f64 (*.f64 y z) y)))) (*.f64 (fma.f64 y (*.f64 z z) (-.f64 #s(literal 0 binary64) x)) (*.f64 (fma.f64 y (*.f64 z z) (-.f64 #s(literal 0 binary64) x)) (fma.f64 y (*.f64 z z) (-.f64 #s(literal 0 binary64) x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 (*.f64 z z) (fma.f64 y (*.f64 z z) (-.f64 #s(literal 0 binary64) x)))) (fma.f64 y (*.f64 (*.f64 z z) (fma.f64 y (*.f64 z z) (-.f64 #s(literal 0 binary64) x))) (-.f64 #s(literal 0 binary64) (*.f64 x x)))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 y (*.f64 z z) x) (fma.f64 x x (*.f64 y (*.f64 (*.f64 z z) (fma.f64 y (*.f64 z z) (-.f64 #s(literal 0 binary64) x)))))) (*.f64 (fma.f64 x x (*.f64 y (*.f64 (*.f64 z z) (fma.f64 y (*.f64 z z) (-.f64 #s(literal 0 binary64) x))))) (-.f64 (*.f64 x x) (*.f64 y (*.f64 (*.f64 z z) (fma.f64 y (*.f64 z z) (-.f64 #s(literal 0 binary64) x))))))) (-.f64 (*.f64 x x) (*.f64 y (*.f64 (*.f64 z z) (fma.f64 y (*.f64 z z) (-.f64 #s(literal 0 binary64) x)))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 y (*.f64 z z) x) (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x)) (*.f64 (fma.f64 (*.f64 y (*.f64 z z)) (fma.f64 y (*.f64 z z) x) (*.f64 x x)) (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x))) (fma.f64 (*.f64 y (*.f64 z z)) (fma.f64 y (*.f64 z z) x) (*.f64 x x))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x) (*.f64 (*.f64 (fma.f64 y (*.f64 z z) x) (fma.f64 x x (*.f64 y (*.f64 (*.f64 z z) (fma.f64 y (*.f64 z z) (-.f64 #s(literal 0 binary64) x)))))) (*.f64 (fma.f64 (*.f64 y (*.f64 z z)) (fma.f64 y (*.f64 z z) x) (*.f64 x x)) (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 (*.f64 y (*.f64 z z)) (*.f64 z z))) (fma.f64 x x (*.f64 y (*.f64 (*.f64 y (*.f64 z z)) (*.f64 z z)))) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x) (*.f64 (fma.f64 x x (*.f64 y (*.f64 (*.f64 y (*.f64 z z)) (*.f64 z z)))) (*.f64 (fma.f64 y (*.f64 z z) x) (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (*.f64 (*.f64 y (*.f64 z z)) (*.f64 z z)))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x x (*.f64 y (*.f64 (*.f64 z z) (fma.f64 y (*.f64 z z) (-.f64 #s(literal 0 binary64) x))))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 9 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 y (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 z (*.f64 (*.f64 y z) y)))) (-.f64 (*.f64 y (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 z (*.f64 (*.f64 y z) y)))) (*.f64 x (*.f64 x x))))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x x (*.f64 y (*.f64 (*.f64 z z) (fma.f64 y (*.f64 z z) (-.f64 #s(literal 0 binary64) x))))) (*.f64 (*.f64 (fma.f64 y (*.f64 z z) x) (fma.f64 x x (*.f64 y (*.f64 (*.f64 z z) (fma.f64 y (*.f64 z z) (-.f64 #s(literal 0 binary64) x)))))) (*.f64 (fma.f64 (*.f64 y (*.f64 z z)) (fma.f64 y (*.f64 z z) x) (*.f64 x x)) (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y (*.f64 z z)) (fma.f64 y (*.f64 z z) x) (*.f64 x x)) (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) x)) #s(literal -1/2 binary64))) |
(exp.f64 (log.f64 (*.f64 y (*.f64 z z)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 z z))) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)))) |
(neg.f64 (*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)))) |
(pow.f64 (*.f64 y (*.f64 z z)) #s(literal 1 binary64)) |
(*.f64 y (*.f64 z z)) |
(*.f64 z (*.f64 y z)) |
(*.f64 z (pow.f64 (*.f64 y z) #s(literal 1 binary64))) |
(*.f64 (*.f64 y z) z) |
(*.f64 (*.f64 z z) y) |
(*.f64 (*.f64 z z) (pow.f64 y #s(literal 1 binary64))) |
(*.f64 (*.f64 z z) (exp.f64 (log.f64 y))) |
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)))) |
(*.f64 (pow.f64 y #s(literal 1 binary64)) (*.f64 z z)) |
(*.f64 (pow.f64 (*.f64 y z) #s(literal 1 binary64)) z) |
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (*.f64 y z)))) |
(*.f64 (exp.f64 (log.f64 y)) (*.f64 z z)) |
(*.f64 (exp.f64 (log.f64 (*.f64 y z))) (exp.f64 (log.f64 z))) |
(*.f64 (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 1/2 binary64))) |
(*.f64 y z) |
(*.f64 z y) |
| 1× | egg-herbie |
| 4 268× | accelerator-lowering-fma.f32 |
| 4 268× | accelerator-lowering-fma.f64 |
| 3 274× | *-lowering-*.f32 |
| 3 274× | *-lowering-*.f64 |
| 1 366× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 410 |
| 1 | 87 | 410 |
| 2 | 237 | 410 |
| 3 | 701 | 410 |
| 4 | 2114 | 410 |
| 5 | 4246 | 410 |
| 6 | 6914 | 410 |
| 0 | 8029 | 383 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* y (pow z 2)) |
(+ x (* y (pow z 2))) |
(+ x (* y (pow z 2))) |
(+ x (* y (pow z 2))) |
x |
(* x (+ 1 (/ (* y (pow z 2)) x))) |
(* x (+ 1 (/ (* y (pow z 2)) x))) |
(* x (+ 1 (/ (* y (pow z 2)) x))) |
x |
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) |
x |
(+ x (* y (pow z 2))) |
(+ x (* y (pow z 2))) |
(+ x (* y (pow z 2))) |
(* y (pow z 2)) |
(* y (+ (/ x y) (pow z 2))) |
(* y (+ (/ x y) (pow z 2))) |
(* y (+ (/ x y) (pow z 2))) |
(* y (pow z 2)) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2))))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2))))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2))))) |
x |
(+ x (* y (pow z 2))) |
(+ x (* y (pow z 2))) |
(+ x (* y (pow z 2))) |
(* y (pow z 2)) |
(* (pow z 2) (+ y (/ x (pow z 2)))) |
(* (pow z 2) (+ y (/ x (pow z 2)))) |
(* (pow z 2) (+ y (/ x (pow z 2)))) |
(* y (pow z 2)) |
(* (pow z 2) (+ y (/ x (pow z 2)))) |
(* (pow z 2) (+ y (/ x (pow z 2)))) |
(* (pow z 2) (+ y (/ x (pow z 2)))) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
| Outputs |
|---|
(* y (pow z 2)) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) |
(+ x (* y (pow z 2))) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x) |
(+ x (* y (pow z 2))) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x) |
(+ x (* y (pow z 2))) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x) |
x |
(* x (+ 1 (/ (* y (pow z 2)) x))) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x) |
(* x (+ 1 (/ (* y (pow z 2)) x))) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x) |
(* x (+ 1 (/ (* y (pow z 2)) x))) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x) |
x |
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x) |
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x) |
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x) |
x |
(+ x (* y (pow z 2))) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x) |
(+ x (* y (pow z 2))) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x) |
(+ x (* y (pow z 2))) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x) |
(* y (pow z 2)) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* y (+ (/ x y) (pow z 2))) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x) |
(* y (+ (/ x y) (pow z 2))) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x) |
(* y (+ (/ x y) (pow z 2))) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x) |
(* y (pow z 2)) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2))))) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2))))) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2))))) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x) |
x |
(+ x (* y (pow z 2))) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x) |
(+ x (* y (pow z 2))) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x) |
(+ x (* y (pow z 2))) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x) |
(* y (pow z 2)) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* (pow z 2) (+ y (/ x (pow z 2)))) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x) |
(* (pow z 2) (+ y (/ x (pow z 2)))) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x) |
(* (pow z 2) (+ y (/ x (pow z 2)))) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x) |
(* y (pow z 2)) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* (pow z 2) (+ y (/ x (pow z 2)))) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x) |
(* (pow z 2) (+ y (/ x (pow z 2)))) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x) |
(* (pow z 2) (+ y (/ x (pow z 2)))) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x) |
(* y (pow z 2)) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* y (pow z 2)) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* y (pow z 2)) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* y (pow z 2)) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* y (pow z 2)) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* y (pow z 2)) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* y (pow z 2)) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* y (pow z 2)) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* y (pow z 2)) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* y (pow z 2)) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* y (pow z 2)) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* y (pow z 2)) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* y (pow z 2)) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* y (pow z 2)) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* y (pow z 2)) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* y (pow z 2)) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* y (pow z 2)) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* y (pow z 2)) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* y (pow z 2)) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* y (pow z 2)) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* y (pow z 2)) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* y (pow z 2)) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* y (pow z 2)) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* y (pow z 2)) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* y z) |
(fma.f64 y z #s(literal 0 binary64)) |
(* y z) |
(fma.f64 y z #s(literal 0 binary64)) |
(* y z) |
(fma.f64 y z #s(literal 0 binary64)) |
(* y z) |
(fma.f64 y z #s(literal 0 binary64)) |
(* y z) |
(fma.f64 y z #s(literal 0 binary64)) |
(* y z) |
(fma.f64 y z #s(literal 0 binary64)) |
(* y z) |
(fma.f64 y z #s(literal 0 binary64)) |
(* y z) |
(fma.f64 y z #s(literal 0 binary64)) |
(* y z) |
(fma.f64 y z #s(literal 0 binary64)) |
(* y z) |
(fma.f64 y z #s(literal 0 binary64)) |
(* y z) |
(fma.f64 y z #s(literal 0 binary64)) |
(* y z) |
(fma.f64 y z #s(literal 0 binary64)) |
(* y z) |
(fma.f64 y z #s(literal 0 binary64)) |
(* y z) |
(fma.f64 y z #s(literal 0 binary64)) |
(* y z) |
(fma.f64 y z #s(literal 0 binary64)) |
(* y z) |
(fma.f64 y z #s(literal 0 binary64)) |
(* y z) |
(fma.f64 y z #s(literal 0 binary64)) |
(* y z) |
(fma.f64 y z #s(literal 0 binary64)) |
(* y z) |
(fma.f64 y z #s(literal 0 binary64)) |
(* y z) |
(fma.f64 y z #s(literal 0 binary64)) |
(* y z) |
(fma.f64 y z #s(literal 0 binary64)) |
(* y z) |
(fma.f64 y z #s(literal 0 binary64)) |
(* y z) |
(fma.f64 y z #s(literal 0 binary64)) |
(* y z) |
(fma.f64 y z #s(literal 0 binary64)) |
Compiled 10 410 to 479 computations (95.4% saved)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 250 | 6 | 256 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 251 | 6 | 257 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 93.9% | (fma.f64 (*.f64 z z) y x) |
| ▶ | 99.9% | (fma.f64 (*.f64 y z) z x) |
| 10.9% | (/.f64 (-.f64 (*.f64 (*.f64 x x) (/.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x) (*.f64 y (*.f64 (*.f64 y (*.f64 z z)) (*.f64 z z))))) (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x)) (*.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x) (/.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x) (*.f64 y (*.f64 (*.f64 y (*.f64 z z)) (*.f64 z z)))))) | |
| ▶ | 35.7% | (/.f64 (*.f64 (fma.f64 y (*.f64 z z) x) (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x)) (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x)) |
| ▶ | 93.8% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) x))) |
| ▶ | 55.4% | x |
Compiled 256 to 94 computations (63.3% saved)
| 1× | egg-herbie |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 #s(literal 0 binary64) (*.f64 z z)) |
| ✓ | cost-diff | 0 | (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x) |
| ✓ | cost-diff | 0 | (fma.f64 y (*.f64 z z) x) |
| ✓ | cost-diff | 3008 | (/.f64 (*.f64 (fma.f64 y (*.f64 z z) x) (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x)) (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x)) |
| ✓ | cost-diff | -64 | (*.f64 z z) |
| ✓ | cost-diff | 0 | (fma.f64 y (*.f64 z z) x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) x)) |
| ✓ | cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) x))) |
| ✓ | cost-diff | -64 | (*.f64 z z) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 z z) y x) |
| ✓ | cost-diff | -64 | (fma.f64 (*.f64 y z) z x) |
| ✓ | cost-diff | 0 | (*.f64 y z) |
| 12 744× | accelerator-lowering-fma.f32 |
| 12 744× | accelerator-lowering-fma.f64 |
| 4 042× | *-lowering-*.f32 |
| 4 042× | *-lowering-*.f64 |
| 2 306× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 106 |
| 1 | 45 | 106 |
| 2 | 120 | 104 |
| 3 | 506 | 104 |
| 4 | 2657 | 104 |
| 5 | 5214 | 102 |
| 0 | 8558 | 95 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (* y z) z) x) |
(* y z) |
y |
z |
x |
x |
(+ (* (* z z) y) x) |
(* z z) |
z |
y |
x |
(/ 1 (/ 1 (+ (* y (* z z)) x))) |
1 |
(/ 1 (+ (* y (* z z)) x)) |
(+ (* y (* z z)) x) |
y |
(* z z) |
z |
x |
(/ (* (+ (* y (* z z)) x) (+ (* y (- 0 (* z z))) x)) (+ (* y (- 0 (* z z))) x)) |
(* (+ (* y (* z z)) x) (+ (* y (- 0 (* z z))) x)) |
(+ (* y (* z z)) x) |
y |
(* z z) |
z |
x |
(+ (* y (- 0 (* z z))) x) |
(- 0 (* z z)) |
0 |
| Outputs |
|---|
(+ (* (* y z) z) x) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x) |
(* y z) |
(*.f64 y z) |
y |
z |
x |
x |
(+ (* (* z z) y) x) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x) |
(* z z) |
(fma.f64 z z #s(literal 0 binary64)) |
z |
y |
x |
(/ 1 (/ 1 (+ (* y (* z z)) x))) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x) |
1 |
#s(literal 1 binary64) |
(/ 1 (+ (* y (* z z)) x)) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x)) |
(+ (* y (* z z)) x) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x) |
y |
(* z z) |
(fma.f64 z z #s(literal 0 binary64)) |
z |
x |
(/ (* (+ (* y (* z z)) x) (+ (* y (- 0 (* z z))) x)) (+ (* y (- 0 (* z z))) x)) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x) |
(* (+ (* y (* z z)) x) (+ (* y (- 0 (* z z))) x)) |
(fma.f64 (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x) (fma.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) x) #s(literal 0 binary64)) |
(+ (* y (* z z)) x) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x) |
y |
(* z z) |
(fma.f64 z z #s(literal 0 binary64)) |
z |
x |
(+ (* y (- 0 (* z z))) x) |
(fma.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) x) |
(- 0 (* z z)) |
(-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) |
0 |
#s(literal 0 binary64) |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (*.f64 (fma.f64 y (*.f64 z z) x) (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x)) |
| ✓ | accuracy | 93.9% | (fma.f64 y (*.f64 z z) x) |
| ✓ | accuracy | 93.9% | (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x) |
| ✓ | accuracy | 40.2% | (/.f64 (*.f64 (fma.f64 y (*.f64 z z) x) (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x)) (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x)) |
| ✓ | accuracy | 100.0% | (*.f64 z z) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) x))) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) x)) |
| ✓ | accuracy | 93.9% | (fma.f64 y (*.f64 z z) x) |
| ✓ | accuracy | 100.0% | (*.f64 z z) |
| ✓ | accuracy | 93.9% | (fma.f64 (*.f64 z z) y x) |
| ✓ | accuracy | 100.0% | (*.f64 y z) |
| ✓ | accuracy | 99.9% | (fma.f64 (*.f64 y z) z x) |
| 43.0ms | 256× | 0 | valid |
Compiled 123 to 22 computations (82.1% saved)
ival-mult: 10.0ms (43.9% of total)ival-div: 5.0ms (21.9% of total)ival-add: 4.0ms (17.6% of total)ival-sub: 3.0ms (13.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* y z)> |
#<alt (+ (* (* y z) z) x)> |
#<alt (+ (* (* z z) y) x)> |
#<alt (* z z)> |
#<alt (/ 1 (/ 1 (+ (* y (* z z)) x)))> |
#<alt (/ 1 (+ (* y (* z z)) x))> |
#<alt (+ (* y (* z z)) x)> |
#<alt (/ (* (+ (* y (* z z)) x) (+ (* y (- 0 (* z z))) x)) (+ (* y (- 0 (* z z))) x))> |
#<alt (+ (* y (- 0 (* z z))) x)> |
#<alt (- 0 (* z z))> |
#<alt (* (+ (* y (* z z)) x) (+ (* y (- 0 (* z z))) x))> |
| Outputs |
|---|
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt x> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (* y (pow z 2))> |
#<alt (* y (+ (/ x y) (pow z 2)))> |
#<alt (* y (+ (/ x y) (pow z 2)))> |
#<alt (* y (+ (/ x y) (pow z 2)))> |
#<alt (* y (pow z 2))> |
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))> |
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))> |
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))> |
#<alt x> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (* y (pow z 2))> |
#<alt (* (pow z 2) (+ y (/ x (pow z 2))))> |
#<alt (* (pow z 2) (+ y (/ x (pow z 2))))> |
#<alt (* (pow z 2) (+ y (/ x (pow z 2))))> |
#<alt (* y (pow z 2))> |
#<alt (* (pow z 2) (+ y (/ x (pow z 2))))> |
#<alt (* (pow z 2) (+ y (/ x (pow z 2))))> |
#<alt (* (pow z 2) (+ y (/ x (pow z 2))))> |
#<alt (* y (pow z 2))> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (+ x (* y (pow z 2)))> |
#<alt x> |
#<alt (* x (+ 1 (/ (* y (pow z 2)) x)))> |
#<alt (* x (+ 1 (/ (* y (pow z 2)) x)))> |
#<alt (* x (+ 1 (/ (* y (pow z 2)) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))> |
#<alt x> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (* y (pow z 2))> |
#<alt (* (pow z 2) (+ y (/ x (pow z 2))))> |
#<alt (* (pow z 2) (+ y (/ x (pow z 2))))> |
#<alt (* (pow z 2) (+ y (/ x (pow z 2))))> |
#<alt (* y (pow z 2))> |
#<alt (* (pow z 2) (+ y (/ x (pow z 2))))> |
#<alt (* (pow z 2) (+ y (/ x (pow z 2))))> |
#<alt (* (pow z 2) (+ y (/ x (pow z 2))))> |
#<alt x> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (* y (pow z 2))> |
#<alt (* y (+ (/ x y) (pow z 2)))> |
#<alt (* y (+ (/ x y) (pow z 2)))> |
#<alt (* y (+ (/ x y) (pow z 2)))> |
#<alt (* y (pow z 2))> |
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))> |
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))> |
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))> |
#<alt (* y (pow z 2))> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (+ x (* y (pow z 2)))> |
#<alt x> |
#<alt (* x (+ 1 (/ (* y (pow z 2)) x)))> |
#<alt (* x (+ 1 (/ (* y (pow z 2)) x)))> |
#<alt (* x (+ 1 (/ (* y (pow z 2)) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt x> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (* y (pow z 2))> |
#<alt (* y (+ (/ x y) (pow z 2)))> |
#<alt (* y (+ (/ x y) (pow z 2)))> |
#<alt (* y (+ (/ x y) (pow z 2)))> |
#<alt (* y (pow z 2))> |
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))> |
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))> |
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))> |
#<alt x> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (* y (pow z 2))> |
#<alt (* (pow z 2) (+ y (/ x (pow z 2))))> |
#<alt (* (pow z 2) (+ y (/ x (pow z 2))))> |
#<alt (* (pow z 2) (+ y (/ x (pow z 2))))> |
#<alt (* y (pow z 2))> |
#<alt (* (pow z 2) (+ y (/ x (pow z 2))))> |
#<alt (* (pow z 2) (+ y (/ x (pow z 2))))> |
#<alt (* (pow z 2) (+ y (/ x (pow z 2))))> |
#<alt (* y (pow z 2))> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (+ x (* y (pow z 2)))> |
#<alt x> |
#<alt (* x (+ 1 (/ (* y (pow z 2)) x)))> |
#<alt (* x (+ 1 (/ (* y (pow z 2)) x)))> |
#<alt (* x (+ 1 (/ (* y (pow z 2)) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))> |
#<alt (/ 1 x)> |
#<alt (+ (* -1 (/ (* y (pow z 2)) (pow x 2))) (/ 1 x))> |
#<alt (+ (* y (- (/ (* y (pow z 4)) (pow x 3)) (/ (pow z 2) (pow x 2)))) (/ 1 x))> |
#<alt (+ (* y (- (* y (- (* -1 (/ (* y (pow z 6)) (pow x 4))) (* -1 (/ (pow z 4) (pow x 3))))) (/ (pow z 2) (pow x 2)))) (/ 1 x))> |
#<alt (/ 1 (* y (pow z 2)))> |
#<alt (/ (+ (* -1 (/ x (* y (pow z 4)))) (/ 1 (pow z 2))) y)> |
#<alt (/ (- (+ (/ 1 (pow z 2)) (/ (pow x 2) (* (pow y 2) (pow z 6)))) (/ x (* y (pow z 4)))) y)> |
#<alt (/ (- (+ (* -1 (/ (pow x 3) (* (pow y 3) (pow z 8)))) (/ 1 (pow z 2))) (+ (* -1 (/ (pow x 2) (* (pow y 2) (pow z 6)))) (/ x (* y (pow z 4))))) y)> |
#<alt (/ 1 (* y (pow z 2)))> |
#<alt (* -1 (/ (- (/ x (* y (pow z 4))) (/ 1 (pow z 2))) y))> |
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow x 2) (* y (pow z 6))) (/ x (pow z 4))) y)) (/ 1 (pow z 2))) y))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) (* y (pow z 8))) (/ (pow x 2) (pow z 6))) y)) (/ x (pow z 4))) y)) (/ 1 (pow z 2))) y))> |
#<alt (/ 1 x)> |
#<alt (+ (* -1 (/ (* y (pow z 2)) (pow x 2))) (/ 1 x))> |
#<alt (+ (* (pow z 2) (- (/ (* (pow y 2) (pow z 2)) (pow x 3)) (/ y (pow x 2)))) (/ 1 x))> |
#<alt (+ (* (pow z 2) (- (* (pow z 2) (- (* -1 (/ (* (pow y 3) (pow z 2)) (pow x 4))) (* -1 (/ (pow y 2) (pow x 3))))) (/ y (pow x 2)))) (/ 1 x))> |
#<alt (/ 1 (* y (pow z 2)))> |
#<alt (/ (+ (* -1 (/ x (* (pow y 2) (pow z 2)))) (/ 1 y)) (pow z 2))> |
#<alt (/ (- (+ (/ 1 y) (/ (pow x 2) (* (pow y 3) (pow z 4)))) (/ x (* (pow y 2) (pow z 2)))) (pow z 2))> |
#<alt (/ (- (+ (* -1 (/ (pow x 3) (* (pow y 4) (pow z 6)))) (/ 1 y)) (+ (* -1 (/ (pow x 2) (* (pow y 3) (pow z 4)))) (/ x (* (pow y 2) (pow z 2))))) (pow z 2))> |
#<alt (/ 1 (* y (pow z 2)))> |
#<alt (/ (+ (* -1 (/ x (* (pow y 2) (pow z 2)))) (/ 1 y)) (pow z 2))> |
#<alt (/ (- (+ (/ 1 y) (/ (pow x 2) (* (pow y 3) (pow z 4)))) (/ x (* (pow y 2) (pow z 2)))) (pow z 2))> |
#<alt (/ (- (+ (* -1 (/ (pow x 3) (* (pow y 4) (pow z 6)))) (/ 1 y)) (+ (* -1 (/ (pow x 2) (* (pow y 3) (pow z 4)))) (/ x (* (pow y 2) (pow z 2))))) (pow z 2))> |
#<alt (/ 1 (* y (pow z 2)))> |
#<alt (+ (* -1 (/ x (* (pow y 2) (pow z 4)))) (/ 1 (* y (pow z 2))))> |
#<alt (+ (* x (- (/ x (* (pow y 3) (pow z 6))) (/ 1 (* (pow y 2) (pow z 4))))) (/ 1 (* y (pow z 2))))> |
#<alt (+ (* x (- (* x (+ (* -1 (/ x (* (pow y 4) (pow z 8)))) (/ 1 (* (pow y 3) (pow z 6))))) (/ 1 (* (pow y 2) (pow z 4))))) (/ 1 (* y (pow z 2))))> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (* -1 (/ (* y (pow z 2)) x))) x)> |
#<alt (/ (- (+ 1 (/ (* (pow y 2) (pow z 4)) (pow x 2))) (/ (* y (pow z 2)) x)) x)> |
#<alt (/ (- (+ 1 (* -1 (/ (* (pow y 3) (pow z 6)) (pow x 3)))) (+ (* -1 (/ (* (pow y 2) (pow z 4)) (pow x 2))) (/ (* y (pow z 2)) x))) x)> |
#<alt (/ 1 x)> |
#<alt (* -1 (/ (- (/ (* y (pow z 2)) x) 1) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 2) (pow z 4)) x) (* y (pow z 2))) x)) 1) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (pow z 6)) x) (* (pow y 2) (pow z 4))) x)) (* y (pow z 2))) x)) 1) x))> |
#<alt x> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (* y (pow z 2))> |
#<alt (* y (+ (/ x y) (pow z 2)))> |
#<alt (* y (+ (/ x y) (pow z 2)))> |
#<alt (* y (+ (/ x y) (pow z 2)))> |
#<alt (* y (pow z 2))> |
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))> |
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))> |
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))> |
#<alt x> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (* y (pow z 2))> |
#<alt (* (pow z 2) (+ y (/ x (pow z 2))))> |
#<alt (* (pow z 2) (+ y (/ x (pow z 2))))> |
#<alt (* (pow z 2) (+ y (/ x (pow z 2))))> |
#<alt (* y (pow z 2))> |
#<alt (* (pow z 2) (+ y (/ x (pow z 2))))> |
#<alt (* (pow z 2) (+ y (/ x (pow z 2))))> |
#<alt (* (pow z 2) (+ y (/ x (pow z 2))))> |
#<alt (* y (pow z 2))> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (+ x (* y (pow z 2)))> |
#<alt x> |
#<alt (* x (+ 1 (/ (* y (pow z 2)) x)))> |
#<alt (* x (+ 1 (/ (* y (pow z 2)) x)))> |
#<alt (* x (+ 1 (/ (* y (pow z 2)) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))> |
#<alt x> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (* y (pow z 2))> |
#<alt (* y (+ (/ x y) (pow z 2)))> |
#<alt (* y (+ (/ x y) (pow z 2)))> |
#<alt (* y (+ (/ x y) (pow z 2)))> |
#<alt (* y (pow z 2))> |
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))> |
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))> |
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))> |
#<alt x> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (* y (pow z 2))> |
#<alt (* (pow z 2) (+ y (/ x (pow z 2))))> |
#<alt (* (pow z 2) (+ y (/ x (pow z 2))))> |
#<alt (* (pow z 2) (+ y (/ x (pow z 2))))> |
#<alt (* y (pow z 2))> |
#<alt (* (pow z 2) (+ y (/ x (pow z 2))))> |
#<alt (* (pow z 2) (+ y (/ x (pow z 2))))> |
#<alt (* (pow z 2) (+ y (/ x (pow z 2))))> |
#<alt (* y (pow z 2))> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (+ x (* y (pow z 2)))> |
#<alt x> |
#<alt (* x (+ 1 (/ (* y (pow z 2)) x)))> |
#<alt (* x (+ 1 (/ (* y (pow z 2)) x)))> |
#<alt (* x (+ 1 (/ (* y (pow z 2)) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))> |
#<alt x> |
#<alt (+ x (* -1 (* y (pow z 2))))> |
#<alt (+ x (* -1 (* y (pow z 2))))> |
#<alt (+ x (* -1 (* y (pow z 2))))> |
#<alt (* -1 (* y (pow z 2)))> |
#<alt (* y (+ (* -1 (pow z 2)) (/ x y)))> |
#<alt (* y (+ (* -1 (pow z 2)) (/ x y)))> |
#<alt (* y (+ (* -1 (pow z 2)) (/ x y)))> |
#<alt (* -1 (* y (pow z 2)))> |
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow z 2))))> |
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow z 2))))> |
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow z 2))))> |
#<alt x> |
#<alt (+ x (* -1 (* y (pow z 2))))> |
#<alt (+ x (* -1 (* y (pow z 2))))> |
#<alt (+ x (* -1 (* y (pow z 2))))> |
#<alt (* -1 (* y (pow z 2)))> |
#<alt (* (pow z 2) (+ (* -1 y) (/ x (pow z 2))))> |
#<alt (* (pow z 2) (+ (* -1 y) (/ x (pow z 2))))> |
#<alt (* (pow z 2) (+ (* -1 y) (/ x (pow z 2))))> |
#<alt (* -1 (* y (pow z 2)))> |
#<alt (* (pow z 2) (+ (* -1 y) (/ x (pow z 2))))> |
#<alt (* (pow z 2) (+ (* -1 y) (/ x (pow z 2))))> |
#<alt (* (pow z 2) (+ (* -1 y) (/ x (pow z 2))))> |
#<alt (* -1 (* y (pow z 2)))> |
#<alt (+ x (* -1 (* y (pow z 2))))> |
#<alt (+ x (* -1 (* y (pow z 2))))> |
#<alt (+ x (* -1 (* y (pow z 2))))> |
#<alt x> |
#<alt (* x (+ 1 (* -1 (/ (* y (pow z 2)) x))))> |
#<alt (* x (+ 1 (* -1 (/ (* y (pow z 2)) x))))> |
#<alt (* x (+ 1 (* -1 (/ (* y (pow z 2)) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (/ (* y (pow z 2)) x) 1)))> |
#<alt (* -1 (* x (- (/ (* y (pow z 2)) x) 1)))> |
#<alt (* -1 (* x (- (/ (* y (pow z 2)) x) 1)))> |
#<alt (* -1 (pow z 2))> |
#<alt (* -1 (pow z 2))> |
#<alt (* -1 (pow z 2))> |
#<alt (* -1 (pow z 2))> |
#<alt (* -1 (pow z 2))> |
#<alt (* -1 (pow z 2))> |
#<alt (* -1 (pow z 2))> |
#<alt (* -1 (pow z 2))> |
#<alt (* -1 (pow z 2))> |
#<alt (* -1 (pow z 2))> |
#<alt (* -1 (pow z 2))> |
#<alt (* -1 (pow z 2))> |
#<alt (pow x 2)> |
#<alt (+ (* y (+ (* -1 (* x (pow z 2))) (* x (pow z 2)))) (pow x 2))> |
#<alt (+ (* y (+ (* -1 (* x (pow z 2))) (+ (* -1 (* y (pow z 4))) (* x (pow z 2))))) (pow x 2))> |
#<alt (+ (* y (+ (* -1 (* x (pow z 2))) (+ (* -1 (* y (pow z 4))) (* x (pow z 2))))) (pow x 2))> |
#<alt (* -1 (* (pow y 2) (pow z 4)))> |
#<alt (* (pow y 2) (+ (* -1 (/ (* x (pow z 2)) y)) (+ (* -1 (pow z 4)) (/ (* x (pow z 2)) y))))> |
#<alt (* (pow y 2) (+ (* -1 (/ (* x (pow z 2)) y)) (+ (* -1 (pow z 4)) (+ (/ (* x (pow z 2)) y) (/ (pow x 2) (pow y 2))))))> |
#<alt (* (pow y 2) (+ (* -1 (/ (* x (pow z 2)) y)) (+ (* -1 (pow z 4)) (+ (/ (* x (pow z 2)) y) (/ (pow x 2) (pow y 2))))))> |
#<alt (* -1 (* (pow y 2) (pow z 4)))> |
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 (* x (pow z 2))) (* x (pow z 2))) y)) (* -1 (pow z 4))))> |
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 (* x (pow z 2))) (+ (* -1 (/ (pow x 2) y)) (* x (pow z 2)))) y)) (* -1 (pow z 4))))> |
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 (* x (pow z 2))) (+ (* -1 (/ (pow x 2) y)) (* x (pow z 2)))) y)) (* -1 (pow z 4))))> |
#<alt (pow x 2)> |
#<alt (+ (* (pow z 2) (+ (* -1 (* x y)) (* x y))) (pow x 2))> |
#<alt (+ (* (pow z 2) (+ (* -1 (* x y)) (+ (* -1 (* (pow y 2) (pow z 2))) (* x y)))) (pow x 2))> |
#<alt (+ (* (pow z 2) (+ (* -1 (* x y)) (+ (* -1 (* (pow y 2) (pow z 2))) (* x y)))) (pow x 2))> |
#<alt (* -1 (* (pow y 2) (pow z 4)))> |
#<alt (* (pow z 4) (+ (* -1 (/ (* x y) (pow z 2))) (+ (* -1 (pow y 2)) (/ (* x y) (pow z 2)))))> |
#<alt (* (pow z 4) (+ (* -1 (/ (* x y) (pow z 2))) (+ (* -1 (pow y 2)) (+ (/ (* x y) (pow z 2)) (/ (pow x 2) (pow z 4))))))> |
#<alt (* (pow z 4) (+ (* -1 (/ (* x y) (pow z 2))) (+ (* -1 (pow y 2)) (+ (/ (* x y) (pow z 2)) (/ (pow x 2) (pow z 4))))))> |
#<alt (* -1 (* (pow y 2) (pow z 4)))> |
#<alt (* (pow z 4) (+ (* -1 (/ (* x y) (pow z 2))) (+ (* -1 (pow y 2)) (/ (* x y) (pow z 2)))))> |
#<alt (* (pow z 4) (+ (* -1 (/ (* x y) (pow z 2))) (+ (* -1 (pow y 2)) (+ (/ (* x y) (pow z 2)) (/ (pow x 2) (pow z 4))))))> |
#<alt (* (pow z 4) (+ (* -1 (/ (* x y) (pow z 2))) (+ (* -1 (pow y 2)) (+ (/ (* x y) (pow z 2)) (/ (pow x 2) (pow z 4))))))> |
#<alt (* -1 (* (pow y 2) (pow z 4)))> |
#<alt (+ (* -1 (* (pow y 2) (pow z 4))) (* x (+ (* -1 (* y (pow z 2))) (* y (pow z 2)))))> |
#<alt (+ (* -1 (* (pow y 2) (pow z 4))) (* x (+ x (+ (* -1 (* y (pow z 2))) (* y (pow z 2))))))> |
#<alt (+ (* -1 (* (pow y 2) (pow z 4))) (* x (+ x (+ (* -1 (* y (pow z 2))) (* y (pow z 2))))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ (* y (pow z 2)) x)) (/ (* y (pow z 2)) x))))> |
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ (* y (pow z 2)) x)) (+ (* -1 (/ (* (pow y 2) (pow z 4)) (pow x 2))) (/ (* y (pow z 2)) x)))))> |
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ (* y (pow z 2)) x)) (+ (* -1 (/ (* (pow y 2) (pow z 4)) (pow x 2))) (/ (* y (pow z 2)) x)))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (* y (pow z 2))) (* y (pow z 2))) x))))> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (* y (pow z 2))) (+ (* y (pow z 2)) (/ (* (pow y 2) (pow z 4)) x))) x))))> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (* y (pow z 2))) (+ (* y (pow z 2)) (/ (* (pow y 2) (pow z 4)) x))) x))))> |
84 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | (/ (* (+ (* y (* z z)) x) (+ (* y (- 0 (* z z))) x)) (+ (* y (- 0 (* z z))) x)) |
| 1.0ms | x | @ | 0 | (+ (* y (- 0 (* z z))) x) |
| 1.0ms | z | @ | inf | (* (+ (* y (* z z)) x) (+ (* y (- 0 (* z z))) x)) |
| 0.0ms | z | @ | inf | (/ 1 (+ (* y (* z z)) x)) |
| 0.0ms | z | @ | 0 | (/ 1 (+ (* y (* z z)) x)) |
| 1× | batch-egg-rewrite |
| 10 024× | accelerator-lowering-fma.f32 |
| 10 024× | accelerator-lowering-fma.f64 |
| 5 472× | *-lowering-*.f32 |
| 5 472× | *-lowering-*.f64 |
| 3 180× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 78 |
| 1 | 129 | 78 |
| 2 | 924 | 72 |
| 0 | 10006 | 66 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* y z) |
(+ (* (* y z) z) x) |
(+ (* (* z z) y) x) |
(* z z) |
(/ 1 (/ 1 (+ (* y (* z z)) x))) |
(/ 1 (+ (* y (* z z)) x)) |
(+ (* y (* z z)) x) |
(/ (* (+ (* y (* z z)) x) (+ (* y (- 0 (* z z))) x)) (+ (* y (- 0 (* z z))) x)) |
(+ (* y (- 0 (* z z))) x) |
(- 0 (* z z)) |
(* (+ (* y (* z z)) x) (+ (* y (- 0 (* z z))) x)) |
| Outputs |
|---|
(*.f64 y z) |
(*.f64 z y) |
(+.f64 x (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))) |
(+.f64 (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) x) |
(+.f64 (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) x))) |
(+.f64 (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))) |
(+.f64 (/.f64 (*.f64 y (*.f64 y (fma.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) x))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) x))))) |
(+.f64 (*.f64 y (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))) |
(+.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))) |
(+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)) (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) x)) (*.f64 (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x) (fma.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) #s(literal 0 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) x)) (*.f64 x (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x)))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) x)) (*.f64 x (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) x)) (*.f64 (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x) (fma.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) #s(literal 0 binary64))))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) x)) (*.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) x) x)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) x)) (*.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) x) (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) x)) (*.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) x) (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) x)) (*.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) x) x))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) x)) (*.f64 x (fma.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) x))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) x)) (*.f64 y (*.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) x))))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) x)) (*.f64 y (*.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) x)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) x)) (*.f64 x (fma.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) x)))) |
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 z z #s(literal 0 binary64)) (*.f64 y (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x)) (*.f64 x x))) (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x)) (*.f64 y (*.f64 y (fma.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 z z #s(literal 0 binary64)) (*.f64 y (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x)) (*.f64 x x))) (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x)) (*.f64 x (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x)))) |
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 z z #s(literal 0 binary64)) (*.f64 y (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x)) (*.f64 x x))) (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x)) (*.f64 x (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 z z #s(literal 0 binary64)) (*.f64 y (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x)) (*.f64 x x))) (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x)) (*.f64 y (*.f64 y (fma.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)))))) |
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (*.f64 y (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (*.f64 (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x) (fma.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) x))) (*.f64 (*.f64 x (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x)) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) x)))) |
(+.f64 (*.f64 (*.f64 x (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x)) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) x))) (*.f64 (*.f64 (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x) (fma.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) x)))) |
(+.f64 (*.f64 (*.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) x) x) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) x))) (*.f64 (*.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) x) (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) x)))) |
(+.f64 (*.f64 (*.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) x) (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) x))) (*.f64 (*.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) x) x) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) x)))) |
(+.f64 (*.f64 (*.f64 x (fma.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) x)) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) x))) (*.f64 (*.f64 y (*.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) x))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) x)))) |
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(*.f64 (/.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) x) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x) (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) x))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) x)))) |
(*.f64 (*.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) x) (fma.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) x)) (/.f64 (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x) (fma.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) x))) |
(*.f64 (*.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) x) (*.f64 (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x) (fma.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) x))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) x))) |
(*.f64 (*.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) x) (pow.f64 (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x) #s(literal 1/2 binary64))) (pow.f64 (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) x) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 z z #s(literal 0 binary64)) (*.f64 y (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x)) (*.f64 x x))) (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x))) (fma.f64 (fma.f64 z z #s(literal 0 binary64)) (*.f64 y (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x)) (*.f64 x x))) |
(*.f64 (*.f64 (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x))) |
| 1× | egg-herbie |
| 12 084× | accelerator-lowering-fma.f32 |
| 12 084× | accelerator-lowering-fma.f64 |
| 4 396× | *-lowering-*.f32 |
| 4 396× | *-lowering-*.f64 |
| 2 956× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 279 | 3350 |
| 1 | 883 | 3125 |
| 2 | 2800 | 2966 |
| 0 | 8277 | 2857 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
x |
(+ x (* y (pow z 2))) |
(+ x (* y (pow z 2))) |
(+ x (* y (pow z 2))) |
(* y (pow z 2)) |
(* y (+ (/ x y) (pow z 2))) |
(* y (+ (/ x y) (pow z 2))) |
(* y (+ (/ x y) (pow z 2))) |
(* y (pow z 2)) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2))))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2))))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2))))) |
x |
(+ x (* y (pow z 2))) |
(+ x (* y (pow z 2))) |
(+ x (* y (pow z 2))) |
(* y (pow z 2)) |
(* (pow z 2) (+ y (/ x (pow z 2)))) |
(* (pow z 2) (+ y (/ x (pow z 2)))) |
(* (pow z 2) (+ y (/ x (pow z 2)))) |
(* y (pow z 2)) |
(* (pow z 2) (+ y (/ x (pow z 2)))) |
(* (pow z 2) (+ y (/ x (pow z 2)))) |
(* (pow z 2) (+ y (/ x (pow z 2)))) |
(* y (pow z 2)) |
(+ x (* y (pow z 2))) |
(+ x (* y (pow z 2))) |
(+ x (* y (pow z 2))) |
x |
(* x (+ 1 (/ (* y (pow z 2)) x))) |
(* x (+ 1 (/ (* y (pow z 2)) x))) |
(* x (+ 1 (/ (* y (pow z 2)) x))) |
x |
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) |
x |
(+ x (* y (pow z 2))) |
(+ x (* y (pow z 2))) |
(+ x (* y (pow z 2))) |
(* y (pow z 2)) |
(* (pow z 2) (+ y (/ x (pow z 2)))) |
(* (pow z 2) (+ y (/ x (pow z 2)))) |
(* (pow z 2) (+ y (/ x (pow z 2)))) |
(* y (pow z 2)) |
(* (pow z 2) (+ y (/ x (pow z 2)))) |
(* (pow z 2) (+ y (/ x (pow z 2)))) |
(* (pow z 2) (+ y (/ x (pow z 2)))) |
x |
(+ x (* y (pow z 2))) |
(+ x (* y (pow z 2))) |
(+ x (* y (pow z 2))) |
(* y (pow z 2)) |
(* y (+ (/ x y) (pow z 2))) |
(* y (+ (/ x y) (pow z 2))) |
(* y (+ (/ x y) (pow z 2))) |
(* y (pow z 2)) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2))))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2))))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2))))) |
(* y (pow z 2)) |
(+ x (* y (pow z 2))) |
(+ x (* y (pow z 2))) |
(+ x (* y (pow z 2))) |
x |
(* x (+ 1 (/ (* y (pow z 2)) x))) |
(* x (+ 1 (/ (* y (pow z 2)) x))) |
(* x (+ 1 (/ (* y (pow z 2)) x))) |
x |
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
x |
(+ x (* y (pow z 2))) |
(+ x (* y (pow z 2))) |
(+ x (* y (pow z 2))) |
(* y (pow z 2)) |
(* y (+ (/ x y) (pow z 2))) |
(* y (+ (/ x y) (pow z 2))) |
(* y (+ (/ x y) (pow z 2))) |
(* y (pow z 2)) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2))))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2))))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2))))) |
x |
(+ x (* y (pow z 2))) |
(+ x (* y (pow z 2))) |
(+ x (* y (pow z 2))) |
(* y (pow z 2)) |
(* (pow z 2) (+ y (/ x (pow z 2)))) |
(* (pow z 2) (+ y (/ x (pow z 2)))) |
(* (pow z 2) (+ y (/ x (pow z 2)))) |
(* y (pow z 2)) |
(* (pow z 2) (+ y (/ x (pow z 2)))) |
(* (pow z 2) (+ y (/ x (pow z 2)))) |
(* (pow z 2) (+ y (/ x (pow z 2)))) |
(* y (pow z 2)) |
(+ x (* y (pow z 2))) |
(+ x (* y (pow z 2))) |
(+ x (* y (pow z 2))) |
x |
(* x (+ 1 (/ (* y (pow z 2)) x))) |
(* x (+ 1 (/ (* y (pow z 2)) x))) |
(* x (+ 1 (/ (* y (pow z 2)) x))) |
x |
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) |
(/ 1 x) |
(+ (* -1 (/ (* y (pow z 2)) (pow x 2))) (/ 1 x)) |
(+ (* y (- (/ (* y (pow z 4)) (pow x 3)) (/ (pow z 2) (pow x 2)))) (/ 1 x)) |
(+ (* y (- (* y (- (* -1 (/ (* y (pow z 6)) (pow x 4))) (* -1 (/ (pow z 4) (pow x 3))))) (/ (pow z 2) (pow x 2)))) (/ 1 x)) |
(/ 1 (* y (pow z 2))) |
(/ (+ (* -1 (/ x (* y (pow z 4)))) (/ 1 (pow z 2))) y) |
(/ (- (+ (/ 1 (pow z 2)) (/ (pow x 2) (* (pow y 2) (pow z 6)))) (/ x (* y (pow z 4)))) y) |
(/ (- (+ (* -1 (/ (pow x 3) (* (pow y 3) (pow z 8)))) (/ 1 (pow z 2))) (+ (* -1 (/ (pow x 2) (* (pow y 2) (pow z 6)))) (/ x (* y (pow z 4))))) y) |
(/ 1 (* y (pow z 2))) |
(* -1 (/ (- (/ x (* y (pow z 4))) (/ 1 (pow z 2))) y)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) (* y (pow z 6))) (/ x (pow z 4))) y)) (/ 1 (pow z 2))) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) (* y (pow z 8))) (/ (pow x 2) (pow z 6))) y)) (/ x (pow z 4))) y)) (/ 1 (pow z 2))) y)) |
(/ 1 x) |
(+ (* -1 (/ (* y (pow z 2)) (pow x 2))) (/ 1 x)) |
(+ (* (pow z 2) (- (/ (* (pow y 2) (pow z 2)) (pow x 3)) (/ y (pow x 2)))) (/ 1 x)) |
(+ (* (pow z 2) (- (* (pow z 2) (- (* -1 (/ (* (pow y 3) (pow z 2)) (pow x 4))) (* -1 (/ (pow y 2) (pow x 3))))) (/ y (pow x 2)))) (/ 1 x)) |
(/ 1 (* y (pow z 2))) |
(/ (+ (* -1 (/ x (* (pow y 2) (pow z 2)))) (/ 1 y)) (pow z 2)) |
(/ (- (+ (/ 1 y) (/ (pow x 2) (* (pow y 3) (pow z 4)))) (/ x (* (pow y 2) (pow z 2)))) (pow z 2)) |
(/ (- (+ (* -1 (/ (pow x 3) (* (pow y 4) (pow z 6)))) (/ 1 y)) (+ (* -1 (/ (pow x 2) (* (pow y 3) (pow z 4)))) (/ x (* (pow y 2) (pow z 2))))) (pow z 2)) |
(/ 1 (* y (pow z 2))) |
(/ (+ (* -1 (/ x (* (pow y 2) (pow z 2)))) (/ 1 y)) (pow z 2)) |
(/ (- (+ (/ 1 y) (/ (pow x 2) (* (pow y 3) (pow z 4)))) (/ x (* (pow y 2) (pow z 2)))) (pow z 2)) |
(/ (- (+ (* -1 (/ (pow x 3) (* (pow y 4) (pow z 6)))) (/ 1 y)) (+ (* -1 (/ (pow x 2) (* (pow y 3) (pow z 4)))) (/ x (* (pow y 2) (pow z 2))))) (pow z 2)) |
(/ 1 (* y (pow z 2))) |
(+ (* -1 (/ x (* (pow y 2) (pow z 4)))) (/ 1 (* y (pow z 2)))) |
(+ (* x (- (/ x (* (pow y 3) (pow z 6))) (/ 1 (* (pow y 2) (pow z 4))))) (/ 1 (* y (pow z 2)))) |
(+ (* x (- (* x (+ (* -1 (/ x (* (pow y 4) (pow z 8)))) (/ 1 (* (pow y 3) (pow z 6))))) (/ 1 (* (pow y 2) (pow z 4))))) (/ 1 (* y (pow z 2)))) |
(/ 1 x) |
(/ (+ 1 (* -1 (/ (* y (pow z 2)) x))) x) |
(/ (- (+ 1 (/ (* (pow y 2) (pow z 4)) (pow x 2))) (/ (* y (pow z 2)) x)) x) |
(/ (- (+ 1 (* -1 (/ (* (pow y 3) (pow z 6)) (pow x 3)))) (+ (* -1 (/ (* (pow y 2) (pow z 4)) (pow x 2))) (/ (* y (pow z 2)) x))) x) |
(/ 1 x) |
(* -1 (/ (- (/ (* y (pow z 2)) x) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow y 2) (pow z 4)) x) (* y (pow z 2))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (pow z 6)) x) (* (pow y 2) (pow z 4))) x)) (* y (pow z 2))) x)) 1) x)) |
x |
(+ x (* y (pow z 2))) |
(+ x (* y (pow z 2))) |
(+ x (* y (pow z 2))) |
(* y (pow z 2)) |
(* y (+ (/ x y) (pow z 2))) |
(* y (+ (/ x y) (pow z 2))) |
(* y (+ (/ x y) (pow z 2))) |
(* y (pow z 2)) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2))))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2))))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2))))) |
x |
(+ x (* y (pow z 2))) |
(+ x (* y (pow z 2))) |
(+ x (* y (pow z 2))) |
(* y (pow z 2)) |
(* (pow z 2) (+ y (/ x (pow z 2)))) |
(* (pow z 2) (+ y (/ x (pow z 2)))) |
(* (pow z 2) (+ y (/ x (pow z 2)))) |
(* y (pow z 2)) |
(* (pow z 2) (+ y (/ x (pow z 2)))) |
(* (pow z 2) (+ y (/ x (pow z 2)))) |
(* (pow z 2) (+ y (/ x (pow z 2)))) |
(* y (pow z 2)) |
(+ x (* y (pow z 2))) |
(+ x (* y (pow z 2))) |
(+ x (* y (pow z 2))) |
x |
(* x (+ 1 (/ (* y (pow z 2)) x))) |
(* x (+ 1 (/ (* y (pow z 2)) x))) |
(* x (+ 1 (/ (* y (pow z 2)) x))) |
x |
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) |
x |
(+ x (* y (pow z 2))) |
(+ x (* y (pow z 2))) |
(+ x (* y (pow z 2))) |
(* y (pow z 2)) |
(* y (+ (/ x y) (pow z 2))) |
(* y (+ (/ x y) (pow z 2))) |
(* y (+ (/ x y) (pow z 2))) |
(* y (pow z 2)) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2))))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2))))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2))))) |
x |
(+ x (* y (pow z 2))) |
(+ x (* y (pow z 2))) |
(+ x (* y (pow z 2))) |
(* y (pow z 2)) |
(* (pow z 2) (+ y (/ x (pow z 2)))) |
(* (pow z 2) (+ y (/ x (pow z 2)))) |
(* (pow z 2) (+ y (/ x (pow z 2)))) |
(* y (pow z 2)) |
(* (pow z 2) (+ y (/ x (pow z 2)))) |
(* (pow z 2) (+ y (/ x (pow z 2)))) |
(* (pow z 2) (+ y (/ x (pow z 2)))) |
(* y (pow z 2)) |
(+ x (* y (pow z 2))) |
(+ x (* y (pow z 2))) |
(+ x (* y (pow z 2))) |
x |
(* x (+ 1 (/ (* y (pow z 2)) x))) |
(* x (+ 1 (/ (* y (pow z 2)) x))) |
(* x (+ 1 (/ (* y (pow z 2)) x))) |
x |
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) |
x |
(+ x (* -1 (* y (pow z 2)))) |
(+ x (* -1 (* y (pow z 2)))) |
(+ x (* -1 (* y (pow z 2)))) |
(* -1 (* y (pow z 2))) |
(* y (+ (* -1 (pow z 2)) (/ x y))) |
(* y (+ (* -1 (pow z 2)) (/ x y))) |
(* y (+ (* -1 (pow z 2)) (/ x y))) |
(* -1 (* y (pow z 2))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow z 2)))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow z 2)))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow z 2)))) |
x |
(+ x (* -1 (* y (pow z 2)))) |
(+ x (* -1 (* y (pow z 2)))) |
(+ x (* -1 (* y (pow z 2)))) |
(* -1 (* y (pow z 2))) |
(* (pow z 2) (+ (* -1 y) (/ x (pow z 2)))) |
(* (pow z 2) (+ (* -1 y) (/ x (pow z 2)))) |
(* (pow z 2) (+ (* -1 y) (/ x (pow z 2)))) |
(* -1 (* y (pow z 2))) |
(* (pow z 2) (+ (* -1 y) (/ x (pow z 2)))) |
(* (pow z 2) (+ (* -1 y) (/ x (pow z 2)))) |
(* (pow z 2) (+ (* -1 y) (/ x (pow z 2)))) |
(* -1 (* y (pow z 2))) |
(+ x (* -1 (* y (pow z 2)))) |
(+ x (* -1 (* y (pow z 2)))) |
(+ x (* -1 (* y (pow z 2)))) |
x |
(* x (+ 1 (* -1 (/ (* y (pow z 2)) x)))) |
(* x (+ 1 (* -1 (/ (* y (pow z 2)) x)))) |
(* x (+ 1 (* -1 (/ (* y (pow z 2)) x)))) |
x |
(* -1 (* x (- (/ (* y (pow z 2)) x) 1))) |
(* -1 (* x (- (/ (* y (pow z 2)) x) 1))) |
(* -1 (* x (- (/ (* y (pow z 2)) x) 1))) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(pow x 2) |
(+ (* y (+ (* -1 (* x (pow z 2))) (* x (pow z 2)))) (pow x 2)) |
(+ (* y (+ (* -1 (* x (pow z 2))) (+ (* -1 (* y (pow z 4))) (* x (pow z 2))))) (pow x 2)) |
(+ (* y (+ (* -1 (* x (pow z 2))) (+ (* -1 (* y (pow z 4))) (* x (pow z 2))))) (pow x 2)) |
(* -1 (* (pow y 2) (pow z 4))) |
(* (pow y 2) (+ (* -1 (/ (* x (pow z 2)) y)) (+ (* -1 (pow z 4)) (/ (* x (pow z 2)) y)))) |
(* (pow y 2) (+ (* -1 (/ (* x (pow z 2)) y)) (+ (* -1 (pow z 4)) (+ (/ (* x (pow z 2)) y) (/ (pow x 2) (pow y 2)))))) |
(* (pow y 2) (+ (* -1 (/ (* x (pow z 2)) y)) (+ (* -1 (pow z 4)) (+ (/ (* x (pow z 2)) y) (/ (pow x 2) (pow y 2)))))) |
(* -1 (* (pow y 2) (pow z 4))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (* x (pow z 2))) (* x (pow z 2))) y)) (* -1 (pow z 4)))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (* x (pow z 2))) (+ (* -1 (/ (pow x 2) y)) (* x (pow z 2)))) y)) (* -1 (pow z 4)))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (* x (pow z 2))) (+ (* -1 (/ (pow x 2) y)) (* x (pow z 2)))) y)) (* -1 (pow z 4)))) |
(pow x 2) |
(+ (* (pow z 2) (+ (* -1 (* x y)) (* x y))) (pow x 2)) |
(+ (* (pow z 2) (+ (* -1 (* x y)) (+ (* -1 (* (pow y 2) (pow z 2))) (* x y)))) (pow x 2)) |
(+ (* (pow z 2) (+ (* -1 (* x y)) (+ (* -1 (* (pow y 2) (pow z 2))) (* x y)))) (pow x 2)) |
(* -1 (* (pow y 2) (pow z 4))) |
(* (pow z 4) (+ (* -1 (/ (* x y) (pow z 2))) (+ (* -1 (pow y 2)) (/ (* x y) (pow z 2))))) |
(* (pow z 4) (+ (* -1 (/ (* x y) (pow z 2))) (+ (* -1 (pow y 2)) (+ (/ (* x y) (pow z 2)) (/ (pow x 2) (pow z 4)))))) |
(* (pow z 4) (+ (* -1 (/ (* x y) (pow z 2))) (+ (* -1 (pow y 2)) (+ (/ (* x y) (pow z 2)) (/ (pow x 2) (pow z 4)))))) |
(* -1 (* (pow y 2) (pow z 4))) |
(* (pow z 4) (+ (* -1 (/ (* x y) (pow z 2))) (+ (* -1 (pow y 2)) (/ (* x y) (pow z 2))))) |
(* (pow z 4) (+ (* -1 (/ (* x y) (pow z 2))) (+ (* -1 (pow y 2)) (+ (/ (* x y) (pow z 2)) (/ (pow x 2) (pow z 4)))))) |
(* (pow z 4) (+ (* -1 (/ (* x y) (pow z 2))) (+ (* -1 (pow y 2)) (+ (/ (* x y) (pow z 2)) (/ (pow x 2) (pow z 4)))))) |
(* -1 (* (pow y 2) (pow z 4))) |
(+ (* -1 (* (pow y 2) (pow z 4))) (* x (+ (* -1 (* y (pow z 2))) (* y (pow z 2))))) |
(+ (* -1 (* (pow y 2) (pow z 4))) (* x (+ x (+ (* -1 (* y (pow z 2))) (* y (pow z 2)))))) |
(+ (* -1 (* (pow y 2) (pow z 4))) (* x (+ x (+ (* -1 (* y (pow z 2))) (* y (pow z 2)))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (+ (* -1 (/ (* y (pow z 2)) x)) (/ (* y (pow z 2)) x)))) |
(* (pow x 2) (+ 1 (+ (* -1 (/ (* y (pow z 2)) x)) (+ (* -1 (/ (* (pow y 2) (pow z 4)) (pow x 2))) (/ (* y (pow z 2)) x))))) |
(* (pow x 2) (+ 1 (+ (* -1 (/ (* y (pow z 2)) x)) (+ (* -1 (/ (* (pow y 2) (pow z 4)) (pow x 2))) (/ (* y (pow z 2)) x))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (* y (pow z 2))) (* y (pow z 2))) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (* y (pow z 2))) (+ (* y (pow z 2)) (/ (* (pow y 2) (pow z 4)) x))) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (* y (pow z 2))) (+ (* y (pow z 2)) (/ (* (pow y 2) (pow z 4)) x))) x)))) |
| Outputs |
|---|
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
x |
(+ x (* y (pow z 2))) |
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(*.f64 (fma.f64 (*.f64 z z) (*.f64 z z) #s(literal 0 binary64)) (fma.f64 y (-.f64 #s(literal 0 binary64) y) (fma.f64 (/.f64 y (*.f64 z z)) #s(literal 0 binary64) (*.f64 x (/.f64 x (fma.f64 (*.f64 z z) (*.f64 z z) #s(literal 0 binary64))))))) |
(* (pow z 4) (+ (* -1 (/ (* x y) (pow z 2))) (+ (* -1 (pow y 2)) (+ (/ (* x y) (pow z 2)) (/ (pow x 2) (pow z 4)))))) |
(*.f64 (fma.f64 (*.f64 z z) (*.f64 z z) #s(literal 0 binary64)) (fma.f64 y (-.f64 #s(literal 0 binary64) y) (fma.f64 (/.f64 y (*.f64 z z)) #s(literal 0 binary64) (*.f64 x (/.f64 x (fma.f64 (*.f64 z z) (*.f64 z z) #s(literal 0 binary64))))))) |
(* -1 (* (pow y 2) (pow z 4))) |
(fma.f64 (fma.f64 (*.f64 z z) (*.f64 z z) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y y)) #s(literal 0 binary64)) |
(+ (* -1 (* (pow y 2) (pow z 4))) (* x (+ (* -1 (* y (pow z 2))) (* y (pow z 2))))) |
(fma.f64 (fma.f64 (*.f64 z z) (*.f64 z z) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y y)) #s(literal 0 binary64)) |
(+ (* -1 (* (pow y 2) (pow z 4))) (* x (+ x (+ (* -1 (* y (pow z 2))) (* y (pow z 2)))))) |
(fma.f64 y (fma.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z z) (*.f64 z z) #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) |
(+ (* -1 (* (pow y 2) (pow z 4))) (* x (+ x (+ (* -1 (* y (pow z 2))) (* y (pow z 2)))))) |
(fma.f64 y (fma.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z z) (*.f64 z z) #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(* (pow x 2) (+ 1 (+ (* -1 (/ (* y (pow z 2)) x)) (/ (* y (pow z 2)) x)))) |
(fma.f64 x x #s(literal 0 binary64)) |
(* (pow x 2) (+ 1 (+ (* -1 (/ (* y (pow z 2)) x)) (+ (* -1 (/ (* (pow y 2) (pow z 4)) (pow x 2))) (/ (* y (pow z 2)) x))))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 y (fma.f64 (*.f64 z z) (*.f64 z z) #s(literal 0 binary64))) (/.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) #s(literal 1 binary64))) #s(literal 0 binary64)) |
(* (pow x 2) (+ 1 (+ (* -1 (/ (* y (pow z 2)) x)) (+ (* -1 (/ (* (pow y 2) (pow z 4)) (pow x 2))) (/ (* y (pow z 2)) x))))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 y (fma.f64 (*.f64 z z) (*.f64 z z) #s(literal 0 binary64))) (/.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) #s(literal 1 binary64))) #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (* y (pow z 2))) (* y (pow z 2))) x)))) |
(fma.f64 x x #s(literal 0 binary64)) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (* y (pow z 2))) (+ (* y (pow z 2)) (/ (* (pow y 2) (pow z 4)) x))) x)))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 y (fma.f64 (*.f64 z z) (*.f64 z z) #s(literal 0 binary64))) (/.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) #s(literal 1 binary64))) #s(literal 0 binary64)) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (* y (pow z 2))) (+ (* y (pow z 2)) (/ (* (pow y 2) (pow z 4)) x))) x)))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 y (fma.f64 (*.f64 z z) (*.f64 z z) #s(literal 0 binary64))) (/.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) #s(literal 1 binary64))) #s(literal 0 binary64)) |
Compiled 121 312 to 4 785 computations (96.1% saved)
10 alts after pruning (8 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 3 017 | 8 | 3 025 |
| Fresh | 1 | 0 | 1 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 3 021 | 10 | 3 031 |
| Status | Accuracy | Program |
|---|---|---|
| 22.7% | (fma.f64 (/.f64 (fma.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))) y x) | |
| ✓ | 99.9% | (fma.f64 (*.f64 y z) z x) |
| ▶ | 35.2% | (/.f64 (fma.f64 (*.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) x) (*.f64 y z)) z (*.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) x) x)) (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x)) |
| 35.7% | (/.f64 (*.f64 (fma.f64 y (*.f64 z z) x) (fma.f64 (neg.f64 (*.f64 y z)) z x)) (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x)) | |
| ▶ | 41.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z z)))) |
| ▶ | 70.0% | (*.f64 (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) x)) (*.f64 (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) x))))) |
| 77.6% | (*.f64 y (fma.f64 z z (/.f64 x y))) | |
| ▶ | 41.6% | (*.f64 y (*.f64 z z)) |
| ▶ | 89.8% | (*.f64 x (fma.f64 y (/.f64 (*.f64 z z) x) #s(literal 1 binary64))) |
| ✓ | 55.4% | x |
Compiled 359 to 160 computations (55.4% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) x) |
| ✓ | cost-diff | 1344 | (fma.f64 (*.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) x) (*.f64 y z)) z (*.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) x) x)) |
| ✓ | cost-diff | 3008 | (/.f64 (fma.f64 (*.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) x) (*.f64 y z)) z (*.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) x) x)) (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x)) |
| ✓ | cost-diff | 0 | (fma.f64 z z #s(literal 0 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) x)) |
| ✓ | cost-diff | 320 | (*.f64 (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) x)))) |
| ✓ | cost-diff | 2944 | (*.f64 (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) x)) (*.f64 (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) x))))) |
| ✓ | cost-diff | -64 | (*.f64 z z) |
| ✓ | cost-diff | -64 | (*.f64 y (*.f64 z z)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z z))) |
| ✓ | cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z z)))) |
| ✓ | cost-diff | -64 | (*.f64 z z) |
| ✓ | cost-diff | -64 | (*.f64 y (*.f64 z z)) |
| ✓ | cost-diff | -64 | (*.f64 z z) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 z z) x) |
| ✓ | cost-diff | 0 | (fma.f64 y (/.f64 (*.f64 z z) x) #s(literal 1 binary64)) |
| ✓ | cost-diff | 1024 | (*.f64 x (fma.f64 y (/.f64 (*.f64 z z) x) #s(literal 1 binary64))) |
| 8 480× | accelerator-lowering-fma.f32 |
| 8 480× | accelerator-lowering-fma.f64 |
| 2 862× | *-lowering-*.f32 |
| 2 862× | *-lowering-*.f64 |
| 2 236× | --lowering--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 228 |
| 1 | 98 | 214 |
| 2 | 246 | 209 |
| 3 | 944 | 193 |
| 4 | 3283 | 193 |
| 5 | 7074 | 193 |
| 0 | 8127 | 186 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (+ (* y (/ (* z z) x)) 1)) |
x |
(+ (* y (/ (* z z) x)) 1) |
y |
(/ (* z z) x) |
(* z z) |
z |
1 |
(* y (* z z)) |
y |
(* z z) |
z |
(/ 1 (/ 1 (* y (* z z)))) |
1 |
(/ 1 (* y (* z z))) |
(* y (* z z)) |
y |
(* z z) |
z |
(* (+ (* y (+ (* z z) 0)) (- 0 x)) (* (+ (* y (+ (* z z) 0)) x) (/ 1 (+ (* y (+ (* z z) 0)) (- 0 x))))) |
(+ (* y (+ (* z z) 0)) (- 0 x)) |
y |
(+ (* z z) 0) |
z |
0 |
(- 0 x) |
x |
(* (+ (* y (+ (* z z) 0)) x) (/ 1 (+ (* y (+ (* z z) 0)) (- 0 x)))) |
(+ (* y (+ (* z z) 0)) x) |
(/ 1 (+ (* y (+ (* z z) 0)) (- 0 x))) |
1 |
(/ (+ (* (* (+ (* y (- 0 (+ (* z z) 0))) x) (* y z)) z) (* (+ (* y (- 0 (+ (* z z) 0))) x) x)) (+ (* y (- 0 (* z z))) x)) |
(+ (* (* (+ (* y (- 0 (+ (* z z) 0))) x) (* y z)) z) (* (+ (* y (- 0 (+ (* z z) 0))) x) x)) |
(* (+ (* y (- 0 (+ (* z z) 0))) x) (* y z)) |
(+ (* y (- 0 (+ (* z z) 0))) x) |
y |
(- 0 (+ (* z z) 0)) |
0 |
(+ (* z z) 0) |
z |
x |
(* y z) |
(* (+ (* y (- 0 (+ (* z z) 0))) x) x) |
(+ (* y (- 0 (* z z))) x) |
(- 0 (* z z)) |
(* z z) |
| Outputs |
|---|
(* x (+ (* y (/ (* z z) x)) 1)) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x) |
x |
(+ (* y (/ (* z z) x)) 1) |
(fma.f64 z (/.f64 (fma.f64 y z #s(literal 0 binary64)) x) #s(literal 1 binary64)) |
y |
(/ (* z z) x) |
(/.f64 (fma.f64 z z #s(literal 0 binary64)) x) |
(* z z) |
(fma.f64 z z #s(literal 0 binary64)) |
z |
1 |
#s(literal 1 binary64) |
(* y (* z z)) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) |
y |
(* z z) |
(fma.f64 z z #s(literal 0 binary64)) |
z |
(/ 1 (/ 1 (* y (* z z)))) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) |
1 |
#s(literal 1 binary64) |
(/ 1 (* y (* z z))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))) |
(* y (* z z)) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) |
y |
(* z z) |
(fma.f64 z z #s(literal 0 binary64)) |
z |
(* (+ (* y (+ (* z z) 0)) (- 0 x)) (* (+ (* y (+ (* z z) 0)) x) (/ 1 (+ (* y (+ (* z z) 0)) (- 0 x))))) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x) |
(+ (* y (+ (* z z) 0)) (- 0 x)) |
(-.f64 (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) x) |
y |
(+ (* z z) 0) |
(fma.f64 z z #s(literal 0 binary64)) |
z |
0 |
#s(literal 0 binary64) |
(- 0 x) |
(-.f64 #s(literal 0 binary64) x) |
x |
(* (+ (* y (+ (* z z) 0)) x) (/ 1 (+ (* y (+ (* z z) 0)) (- 0 x)))) |
(/.f64 (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x) (-.f64 (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) x)) |
(+ (* y (+ (* z z) 0)) x) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x) |
(/ 1 (+ (* y (+ (* z z) 0)) (- 0 x))) |
(/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) x)) |
1 |
#s(literal 1 binary64) |
(/ (+ (* (* (+ (* y (- 0 (+ (* z z) 0))) x) (* y z)) z) (* (+ (* y (- 0 (+ (* z z) 0))) x) x)) (+ (* y (- 0 (* z z))) x)) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x) |
(+ (* (* (+ (* y (- 0 (+ (* z z) 0))) x) (* y z)) z) (* (+ (* y (- 0 (+ (* z z) 0))) x) x)) |
(fma.f64 (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x) (-.f64 x (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) |
(* (+ (* y (- 0 (+ (* z z) 0))) x) (* y z)) |
(fma.f64 y (fma.f64 z (-.f64 x (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(+ (* y (- 0 (+ (* z z) 0))) x) |
(-.f64 x (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))) |
y |
(- 0 (+ (* z z) 0)) |
(-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) |
0 |
#s(literal 0 binary64) |
(+ (* z z) 0) |
(fma.f64 z z #s(literal 0 binary64)) |
z |
x |
(* y z) |
(fma.f64 y z #s(literal 0 binary64)) |
(* (+ (* y (- 0 (+ (* z z) 0))) x) x) |
(fma.f64 x (-.f64 x (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) |
(+ (* y (- 0 (* z z))) x) |
(-.f64 x (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))) |
(- 0 (* z z)) |
(-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) |
(* z z) |
(fma.f64 z z #s(literal 0 binary64)) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 93.9% | (fma.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) x) |
| ✓ | accuracy | 93.9% | (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x) |
| ✓ | accuracy | 87.8% | (fma.f64 (*.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) x) (*.f64 y z)) z (*.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) x) x)) |
| ✓ | accuracy | 40.2% | (/.f64 (fma.f64 (*.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) x) (*.f64 y z)) z (*.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) x) x)) (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x)) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) x))) |
| ✓ | accuracy | 93.9% | (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x) |
| ✓ | accuracy | 93.9% | (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) x)) |
| ✓ | accuracy | 77.1% | (*.f64 (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) x)))) |
| ✓ | accuracy | 100.0% | (*.f64 z z) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z z)))) |
| ✓ | accuracy | 99.3% | (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z z))) |
| ✓ | accuracy | 88.5% | (*.f64 y (*.f64 z z)) |
| ✓ | accuracy | 100.0% | (*.f64 z z) |
| ✓ | accuracy | 88.5% | (*.f64 y (*.f64 z z)) |
| ✓ | accuracy | 100.0% | (*.f64 z z) |
| ✓ | accuracy | 96.2% | (*.f64 x (fma.f64 y (/.f64 (*.f64 z z) x) #s(literal 1 binary64))) |
| ✓ | accuracy | 95.2% | (fma.f64 y (/.f64 (*.f64 z z) x) #s(literal 1 binary64)) |
| ✓ | accuracy | 89.3% | (/.f64 (*.f64 z z) x) |
| 74.0ms | 256× | 0 | valid |
Compiled 283 to 35 computations (87.6% saved)
ival-mult: 21.0ms (52.5% of total)ival-div: 8.0ms (20% of total)ival-add: 7.0ms (17.5% of total)ival-sub: 3.0ms (7.5% 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 (+ (* y (/ (* z z) x)) 1))> |
#<alt (+ (* y (/ (* z z) x)) 1)> |
#<alt (/ (* z z) x)> |
#<alt (* z z)> |
#<alt (* y (* z z))> |
#<alt (/ 1 (/ 1 (* y (* z z))))> |
#<alt (/ 1 (* y (* z z)))> |
#<alt (* (+ (* y (+ (* z z) 0)) (- 0 x)) (* (+ (* y (+ (* z z) 0)) x) (/ 1 (+ (* y (+ (* z z) 0)) (- 0 x)))))> |
#<alt (* (+ (* y (+ (* z z) 0)) x) (/ 1 (+ (* y (+ (* z z) 0)) (- 0 x))))> |
#<alt (+ (* y (+ (* z z) 0)) (- 0 x))> |
#<alt (+ (* z z) 0)> |
#<alt (/ (+ (* (* (+ (* y (- 0 (+ (* z z) 0))) x) (* y z)) z) (* (+ (* y (- 0 (+ (* z z) 0))) x) x)) (+ (* y (- 0 (* z z))) x))> |
#<alt (+ (* (* (+ (* y (- 0 (+ (* z z) 0))) x) (* y z)) z) (* (+ (* y (- 0 (+ (* z z) 0))) x) x))> |
#<alt (+ (* y (- 0 (+ (* z z) 0))) x)> |
#<alt (- 0 (+ (* z z) 0))> |
#<alt (+ (* y (+ (* z z) 0)) x)> |
#<alt (/ 1 (+ (* y (+ (* z z) 0)) (- 0 x)))> |
#<alt (+ (* y (- 0 (* z z))) x)> |
| Outputs |
|---|
#<alt (* y (pow z 2))> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (+ x (* y (pow z 2)))> |
#<alt x> |
#<alt (* x (+ 1 (/ (* y (pow z 2)) x)))> |
#<alt (* x (+ 1 (/ (* y (pow z 2)) x)))> |
#<alt (* x (+ 1 (/ (* y (pow z 2)) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))> |
#<alt x> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (* y (pow z 2))> |
#<alt (* y (+ (/ x y) (pow z 2)))> |
#<alt (* y (+ (/ x y) (pow z 2)))> |
#<alt (* y (+ (/ x y) (pow z 2)))> |
#<alt (* y (pow z 2))> |
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))> |
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))> |
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))> |
#<alt x> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (* y (pow z 2))> |
#<alt (* (pow z 2) (+ y (/ x (pow z 2))))> |
#<alt (* (pow z 2) (+ y (/ x (pow z 2))))> |
#<alt (* (pow z 2) (+ y (/ x (pow z 2))))> |
#<alt (* y (pow z 2))> |
#<alt (* (pow z 2) (+ y (/ x (pow z 2))))> |
#<alt (* (pow z 2) (+ y (/ x (pow z 2))))> |
#<alt (* (pow z 2) (+ y (/ x (pow z 2))))> |
#<alt 1> |
#<alt (+ 1 (/ (* y (pow z 2)) x))> |
#<alt (+ 1 (/ (* y (pow z 2)) x))> |
#<alt (+ 1 (/ (* y (pow z 2)) x))> |
#<alt (/ (* y (pow z 2)) x)> |
#<alt (* y (+ (/ 1 y) (/ (pow z 2) x)))> |
#<alt (* y (+ (/ 1 y) (/ (pow z 2) x)))> |
#<alt (* y (+ (/ 1 y) (/ (pow z 2) x)))> |
#<alt (/ (* y (pow z 2)) x)> |
#<alt (* -1 (* y (- (* -1 (/ (pow z 2) x)) (/ 1 y))))> |
#<alt (* -1 (* y (- (* -1 (/ (pow z 2) x)) (/ 1 y))))> |
#<alt (* -1 (* y (- (* -1 (/ (pow z 2) x)) (/ 1 y))))> |
#<alt 1> |
#<alt (+ 1 (/ (* y (pow z 2)) x))> |
#<alt (+ 1 (/ (* y (pow z 2)) x))> |
#<alt (+ 1 (/ (* y (pow z 2)) x))> |
#<alt (/ (* y (pow z 2)) x)> |
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#<alt (* (pow z 2) (+ (/ 1 (pow z 2)) (/ y x)))> |
#<alt (/ (* y (pow z 2)) x)> |
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#<alt (* (pow z 2) (+ (/ 1 (pow z 2)) (/ y x)))> |
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#<alt (/ (* y (pow z 2)) x)> |
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#<alt 1> |
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#<alt 1> |
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#<alt (+ 1 (/ (* y (pow z 2)) x))> |
#<alt (/ (pow z 2) x)> |
#<alt (/ (pow z 2) x)> |
#<alt (/ (pow z 2) x)> |
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#<alt (/ (pow z 2) x)> |
#<alt (/ (pow z 2) x)> |
#<alt (/ (pow z 2) x)> |
#<alt (/ (pow z 2) x)> |
#<alt (/ (pow z 2) x)> |
#<alt (/ (pow z 2) x)> |
#<alt (/ (pow z 2) x)> |
#<alt (/ (pow z 2) x)> |
#<alt (/ (pow z 2) x)> |
#<alt (/ (pow z 2) x)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
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#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
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#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
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#<alt (/ 1 (* y (pow z 2)))> |
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#<alt (/ 1 (* y (pow z 2)))> |
#<alt (/ 1 (* y (pow z 2)))> |
#<alt (/ 1 (* y (pow z 2)))> |
#<alt x> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (* y (pow z 2))> |
#<alt (* y (+ (/ x y) (pow z 2)))> |
#<alt (* y (+ (/ x y) (pow z 2)))> |
#<alt (* y (+ (/ x y) (pow z 2)))> |
#<alt (* y (pow z 2))> |
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))> |
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))> |
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))> |
#<alt x> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (* y (pow z 2))> |
#<alt (* (pow z 2) (+ y (/ x (pow z 2))))> |
#<alt (* (pow z 2) (+ y (/ x (pow z 2))))> |
#<alt (* (pow z 2) (+ y (/ x (pow z 2))))> |
#<alt (* y (pow z 2))> |
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#<alt (* (pow z 2) (+ y (/ x (pow z 2))))> |
#<alt (* (pow z 2) (+ y (/ x (pow z 2))))> |
#<alt (* y (pow z 2))> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (+ x (* y (pow z 2)))> |
#<alt x> |
#<alt (* x (+ 1 (/ (* y (pow z 2)) x)))> |
#<alt (* x (+ 1 (/ (* y (pow z 2)) x)))> |
#<alt (* x (+ 1 (/ (* y (pow z 2)) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))> |
#<alt -1> |
#<alt (- (* y (- (* -1 (/ (pow z 2) x)) (/ (pow z 2) x))) 1)> |
#<alt (- (* y (- (+ (* -1 (/ (pow z 2) x)) (/ (* y (* (pow z 2) (- (* -1 (/ (pow z 2) x)) (/ (pow z 2) x)))) x)) (/ (pow z 2) x))) 1)> |
#<alt (- (* y (- (+ (* -1 (/ (pow z 2) x)) (* y (- (/ (* y (* (pow z 4) (- (* -1 (/ (pow z 2) x)) (/ (pow z 2) x)))) (pow x 2)) (* -1 (/ (* (pow z 2) (- (* -1 (/ (pow z 2) x)) (/ (pow z 2) x))) x))))) (/ (pow z 2) x))) 1)> |
#<alt 1> |
#<alt (- (+ 1 (/ x (* y (pow z 2)))) (* -1 (/ x (* y (pow z 2)))))> |
#<alt (- (+ 1 (+ (/ x (* y (pow z 2))) (/ (* x (- (/ x (pow z 2)) (* -1 (/ x (pow z 2))))) (* (pow y 2) (pow z 2))))) (* -1 (/ x (* y (pow z 2)))))> |
#<alt (- (+ 1 (+ (/ x (* y (pow z 2))) (/ (* (pow x 2) (- (/ x (pow z 2)) (* -1 (/ x (pow z 2))))) (* (pow y 3) (pow z 4))))) (+ (* -1 (/ x (* y (pow z 2)))) (* -1 (/ (* x (- (/ x (pow z 2)) (* -1 (/ x (pow z 2))))) (* (pow y 2) (pow z 2))))))> |
#<alt 1> |
#<alt (+ 1 (* -1 (/ (- (* -1 (/ x (pow z 2))) (/ x (pow z 2))) y)))> |
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#<alt (+ 1 (* -1 (/ (- (+ (* -1 (/ x (pow z 2))) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 (/ x (pow z 2))) (/ x (pow z 2)))) (* y (pow z 4)))) (/ (* x (- (* -1 (/ x (pow z 2))) (/ x (pow z 2)))) (pow z 2))) y))) (/ x (pow z 2))) y)))> |
#<alt -1> |
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#<alt (- (* (pow z 2) (- (+ (* -1 (/ y x)) (/ (* y (* (pow z 2) (- (* -1 (/ y x)) (/ y x)))) x)) (/ y x))) 1)> |
#<alt (- (* (pow z 2) (- (+ (* -1 (/ y x)) (* (pow z 2) (- (/ (* (pow y 2) (* (pow z 2) (- (* -1 (/ y x)) (/ y x)))) (pow x 2)) (* -1 (/ (* y (- (* -1 (/ y x)) (/ y x))) x))))) (/ y x))) 1)> |
#<alt 1> |
#<alt (- (+ 1 (/ x (* y (pow z 2)))) (* -1 (/ x (* y (pow z 2)))))> |
#<alt (- (+ 1 (+ (/ x (* y (pow z 2))) (/ (* x (- (/ x y) (* -1 (/ x y)))) (* y (pow z 4))))) (* -1 (/ x (* y (pow z 2)))))> |
#<alt (- (+ 1 (+ (/ x (* y (pow z 2))) (/ (* (pow x 2) (- (/ x y) (* -1 (/ x y)))) (* (pow y 2) (pow z 6))))) (+ (* -1 (/ x (* y (pow z 2)))) (* -1 (/ (* x (- (/ x y) (* -1 (/ x y)))) (* y (pow z 4))))))> |
#<alt 1> |
#<alt (- (+ 1 (/ x (* y (pow z 2)))) (* -1 (/ x (* y (pow z 2)))))> |
#<alt (- (+ 1 (+ (/ x (* y (pow z 2))) (/ (* x (- (/ x y) (* -1 (/ x y)))) (* y (pow z 4))))) (* -1 (/ x (* y (pow z 2)))))> |
#<alt (- (+ 1 (+ (/ x (* y (pow z 2))) (/ (* (pow x 2) (- (/ x y) (* -1 (/ x y)))) (* (pow y 2) (pow z 6))))) (+ (* -1 (/ x (* y (pow z 2)))) (* -1 (/ (* x (- (/ x y) (* -1 (/ x y)))) (* y (pow z 4))))))> |
#<alt 1> |
#<alt (+ 1 (* 2 (/ x (* y (pow z 2)))))> |
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#<alt (+ 1 (* x (+ (* x (+ (* 2 (/ x (* (pow y 3) (pow z 6)))) (* 2 (/ 1 (* (pow y 2) (pow z 4)))))) (* 2 (/ 1 (* y (pow z 2)))))))> |
#<alt -1> |
#<alt (- (* -1 (/ (* y (pow z 2)) x)) (+ 1 (/ (* y (pow z 2)) x)))> |
#<alt (- (+ (* -1 (/ (* y (pow z 2)) x)) (/ (* y (* (pow z 2) (- (* -1 (* y (pow z 2))) (* y (pow z 2))))) (pow x 2))) (+ 1 (/ (* y (pow z 2)) x)))> |
#<alt (- (+ (* -1 (/ (* y (pow z 2)) x)) (/ (* (pow y 2) (* (pow z 4) (- (* -1 (* y (pow z 2))) (* y (pow z 2))))) (pow x 3))) (+ 1 (+ (* -1 (/ (* y (* (pow z 2) (- (* -1 (* y (pow z 2))) (* y (pow z 2))))) (pow x 2))) (/ (* y (pow z 2)) x))))> |
#<alt -1> |
#<alt (- (* -1 (/ (- (* y (pow z 2)) (* -1 (* y (pow z 2)))) x)) 1)> |
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#<alt (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow y 2) (* (pow z 4) (- (* y (pow z 2)) (* -1 (* y (pow z 2)))))) x)) (* y (* (pow z 2) (- (* y (pow z 2)) (* -1 (* y (pow z 2))))))) x)) (* y (pow z 2))) (* -1 (* y (pow z 2)))) x)) 1)> |
#<alt (* -1 x)> |
#<alt (- (* y (pow z 2)) x)> |
#<alt (- (* y (pow z 2)) x)> |
#<alt (- (* y (pow z 2)) x)> |
#<alt (* y (pow z 2))> |
#<alt (* y (+ (* -1 (/ x y)) (pow z 2)))> |
#<alt (* y (+ (* -1 (/ x y)) (pow z 2)))> |
#<alt (* y (+ (* -1 (/ x y)) (pow z 2)))> |
#<alt (* y (pow z 2))> |
#<alt (* -1 (* y (+ (* -1 (pow z 2)) (/ x y))))> |
#<alt (* -1 (* y (+ (* -1 (pow z 2)) (/ x y))))> |
#<alt (* -1 (* y (+ (* -1 (pow z 2)) (/ x y))))> |
#<alt (* -1 x)> |
#<alt (- (* y (pow z 2)) x)> |
#<alt (- (* y (pow z 2)) x)> |
#<alt (- (* y (pow z 2)) x)> |
#<alt (* y (pow z 2))> |
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#<alt (* (pow z 2) (+ y (* -1 (/ x (pow z 2)))))> |
#<alt (* (pow z 2) (+ y (* -1 (/ x (pow z 2)))))> |
#<alt (* y (pow z 2))> |
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#<alt (* (pow z 2) (+ y (* -1 (/ x (pow z 2)))))> |
#<alt (* (pow z 2) (+ y (* -1 (/ x (pow z 2)))))> |
#<alt (* y (pow z 2))> |
#<alt (+ (* -1 x) (* y (pow z 2)))> |
#<alt (+ (* -1 x) (* y (pow z 2)))> |
#<alt (+ (* -1 x) (* y (pow z 2)))> |
#<alt (* -1 x)> |
#<alt (* x (- (/ (* y (pow z 2)) x) 1))> |
#<alt (* x (- (/ (* y (pow z 2)) x) 1))> |
#<alt (* x (- (/ (* y (pow z 2)) x) 1))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (+ 1 (* -1 (/ (* y (pow z 2)) x)))))> |
#<alt (* -1 (* x (+ 1 (* -1 (/ (* y (pow z 2)) x)))))> |
#<alt (* -1 (* x (+ 1 (* -1 (/ (* y (pow z 2)) x)))))> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt x> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (* y (pow z 2))> |
#<alt (* y (- (+ (* -1 (/ (+ (* -1 (* x (pow z 2))) (* x (pow z 2))) (* y (pow z 2)))) (pow z 2)) (* -1 (/ x y))))> |
#<alt (* y (- (+ (* -1 (/ (+ (* -1 (* x (pow z 2))) (* x (pow z 2))) (* y (pow z 2)))) (+ (* -1 (/ (pow x 2) (* (pow y 2) (pow z 2)))) (pow z 2))) (+ (* -1 (/ x y)) (* -1 (/ (* x (- (* -1 (/ (+ (* -1 (* x (pow z 2))) (* x (pow z 2))) (pow z 2))) (* -1 x))) (* (pow y 2) (pow z 2)))))))> |
#<alt (* y (- (+ (* -1 (/ (+ (* -1 (* x (pow z 2))) (* x (pow z 2))) (* y (pow z 2)))) (+ (* -1 (/ (pow x 2) (* (pow y 2) (pow z 2)))) (+ (/ (* x (- (* -1 (/ (pow x 2) (pow z 2))) (* -1 (/ (* x (- (* -1 (/ (+ (* -1 (* x (pow z 2))) (* x (pow z 2))) (pow z 2))) (* -1 x))) (pow z 2))))) (* (pow y 3) (pow z 2))) (pow z 2)))) (+ (* -1 (/ x y)) (* -1 (/ (* x (- (* -1 (/ (+ (* -1 (* x (pow z 2))) (* x (pow z 2))) (pow z 2))) (* -1 x))) (* (pow y 2) (pow z 2)))))))> |
#<alt (* y (pow z 2))> |
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))> |
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))> |
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))> |
#<alt x> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (* y (pow z 2))> |
#<alt (* (pow z 2) (- (+ y (* -1 (/ (+ (* -1 (* x y)) (* x y)) (* y (pow z 2))))) (* -1 (/ x (pow z 2)))))> |
#<alt (* (pow z 2) (- (+ y (+ (* -1 (/ (+ (* -1 (* x y)) (* x y)) (* y (pow z 2)))) (* -1 (/ (pow x 2) (* y (pow z 4)))))) (+ (* -1 (/ x (pow z 2))) (* -1 (/ (* x (- (* -1 (/ (+ (* -1 (* x y)) (* x y)) y)) (* -1 x))) (* y (pow z 4)))))))> |
#<alt (* (pow z 2) (- (+ y (+ (* -1 (/ (+ (* -1 (* x y)) (* x y)) (* y (pow z 2)))) (+ (* -1 (/ (pow x 2) (* y (pow z 4)))) (/ (* x (- (* -1 (/ (pow x 2) y)) (* -1 (/ (* x (- (* -1 (/ (+ (* -1 (* x y)) (* x y)) y)) (* -1 x))) y)))) (* y (pow z 6)))))) (+ (* -1 (/ x (pow z 2))) (* -1 (/ (* x (- (* -1 (/ (+ (* -1 (* x y)) (* x y)) y)) (* -1 x))) (* y (pow z 4)))))))> |
#<alt (* y (pow z 2))> |
#<alt (* (pow z 2) (- (+ y (* -1 (/ (+ (* -1 (* x y)) (* x y)) (* y (pow z 2))))) (* -1 (/ x (pow z 2)))))> |
#<alt (* (pow z 2) (- (+ y (+ (* -1 (/ (+ (* -1 (* x y)) (* x y)) (* y (pow z 2)))) (* -1 (/ (pow x 2) (* y (pow z 4)))))) (+ (* -1 (/ x (pow z 2))) (* -1 (/ (* x (- (* -1 (/ (+ (* -1 (* x y)) (* x y)) y)) (* -1 x))) (* y (pow z 4)))))))> |
#<alt (* (pow z 2) (- (+ y (+ (* -1 (/ (+ (* -1 (* x y)) (* x y)) (* y (pow z 2)))) (+ (* -1 (/ (pow x 2) (* y (pow z 4)))) (/ (* x (- (* -1 (/ (pow x 2) y)) (* -1 (/ (* x (- (* -1 (/ (+ (* -1 (* x y)) (* x y)) y)) (* -1 x))) y)))) (* y (pow z 6)))))) (+ (* -1 (/ x (pow z 2))) (* -1 (/ (* x (- (* -1 (/ (+ (* -1 (* x y)) (* x y)) y)) (* -1 x))) (* y (pow z 4)))))))> |
#<alt (* y (pow z 2))> |
#<alt (+ (* x (+ 1 (* -1 (/ (+ (* -1 (* y (pow z 2))) (* y (pow z 2))) (* y (pow z 2)))))) (* y (pow z 2)))> |
#<alt (+ (* x (+ 1 (+ (* -1 (* x (+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (* y (pow z 2))) (* y (pow z 2))) (* y (pow z 2))))) (* y (pow z 2)))) (/ 1 (* y (pow z 2)))))) (* -1 (/ (+ (* -1 (* y (pow z 2))) (* y (pow z 2))) (* y (pow z 2))))))) (* y (pow z 2)))> |
#<alt (+ (* x (+ 1 (+ (* -1 (/ (+ (* -1 (* y (pow z 2))) (* y (pow z 2))) (* y (pow z 2)))) (* x (- (* -1 (* x (+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (* y (pow z 2))) (* y (pow z 2))) (* y (pow z 2))))) (* (pow y 2) (pow z 4)))) (/ 1 (* (pow y 2) (pow z 4)))))) (+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (* y (pow z 2))) (* y (pow z 2))) (* y (pow z 2))))) (* y (pow z 2)))) (/ 1 (* y (pow z 2))))))))) (* y (pow z 2)))> |
#<alt x> |
#<alt (* x (+ 1 (/ (* y (pow z 2)) x)))> |
#<alt (* x (+ 1 (/ (* y (pow z 2)) x)))> |
#<alt (* x (+ 1 (/ (* y (pow z 2)) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (+ (* -1 (* y (pow z 2))) (* y (pow z 2)))) (* -1 (* y (pow z 2)))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (+ (* -1 (* y (pow z 2))) (* y (pow z 2)))) (* -1 (/ (- (* (pow y 2) (pow z 4)) (* y (* (pow z 2) (- (* -1 (+ (* -1 (* y (pow z 2))) (* y (pow z 2)))) (* -1 (* y (pow z 2))))))) x))) (* -1 (* y (pow z 2)))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (+ (* -1 (* y (pow z 2))) (* y (pow z 2)))) (* -1 (/ (- (+ (* (pow y 2) (pow z 4)) (/ (* y (* (pow z 2) (- (* (pow y 2) (pow z 4)) (* y (* (pow z 2) (- (* -1 (+ (* -1 (* y (pow z 2))) (* y (pow z 2)))) (* -1 (* y (pow z 2))))))))) x)) (* y (* (pow z 2) (- (* -1 (+ (* -1 (* y (pow z 2))) (* y (pow z 2)))) (* -1 (* y (pow z 2))))))) x))) (* -1 (* y (pow z 2)))) x)) 1)))> |
#<alt (pow x 2)> |
#<alt (+ (* y (+ (* -1 (* x (pow z 2))) (* x (pow z 2)))) (pow x 2))> |
#<alt (+ (* y (+ (* -1 (* x (pow z 2))) (+ (* -1 (* y (pow z 4))) (* x (pow z 2))))) (pow x 2))> |
#<alt (+ (* y (+ (* -1 (* x (pow z 2))) (+ (* -1 (* y (pow z 4))) (* x (pow z 2))))) (pow x 2))> |
#<alt (* -1 (* (pow y 2) (pow z 4)))> |
#<alt (* (pow y 2) (+ (* -1 (/ (* x (pow z 2)) y)) (+ (* -1 (pow z 4)) (/ (* x (pow z 2)) y))))> |
#<alt (* (pow y 2) (+ (* -1 (/ (* x (pow z 2)) y)) (+ (* -1 (pow z 4)) (+ (/ (* x (pow z 2)) y) (/ (pow x 2) (pow y 2))))))> |
#<alt (* (pow y 2) (+ (* -1 (/ (* x (pow z 2)) y)) (+ (* -1 (pow z 4)) (+ (/ (* x (pow z 2)) y) (/ (pow x 2) (pow y 2))))))> |
#<alt (* -1 (* (pow y 2) (pow z 4)))> |
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 (* x (pow z 2))) (* x (pow z 2))) y)) (* -1 (pow z 4))))> |
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 (* x (pow z 2))) (+ (* -1 (/ (pow x 2) y)) (* x (pow z 2)))) y)) (* -1 (pow z 4))))> |
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 (* x (pow z 2))) (+ (* -1 (/ (pow x 2) y)) (* x (pow z 2)))) y)) (* -1 (pow z 4))))> |
#<alt (pow x 2)> |
#<alt (+ (* (pow z 2) (+ (* -1 (* x y)) (* x y))) (pow x 2))> |
#<alt (+ (* (pow z 2) (+ (* -1 (* x y)) (+ (* -1 (* (pow y 2) (pow z 2))) (* x y)))) (pow x 2))> |
#<alt (+ (* (pow z 2) (+ (* -1 (* x y)) (+ (* -1 (* (pow y 2) (pow z 2))) (* x y)))) (pow x 2))> |
#<alt (* -1 (* (pow y 2) (pow z 4)))> |
#<alt (* (pow z 4) (+ (* -1 (/ (* x y) (pow z 2))) (+ (* -1 (pow y 2)) (/ (* x y) (pow z 2)))))> |
#<alt (* (pow z 4) (+ (* -1 (/ (* x y) (pow z 2))) (+ (* -1 (pow y 2)) (+ (/ (* x y) (pow z 2)) (/ (pow x 2) (pow z 4))))))> |
#<alt (* (pow z 4) (+ (* -1 (/ (* x y) (pow z 2))) (+ (* -1 (pow y 2)) (+ (/ (* x y) (pow z 2)) (/ (pow x 2) (pow z 4))))))> |
#<alt (* -1 (* (pow y 2) (pow z 4)))> |
#<alt (* (pow z 4) (+ (* -1 (/ (* x y) (pow z 2))) (+ (* -1 (pow y 2)) (/ (* x y) (pow z 2)))))> |
#<alt (* (pow z 4) (+ (* -1 (/ (* x y) (pow z 2))) (+ (* -1 (pow y 2)) (+ (/ (* x y) (pow z 2)) (/ (pow x 2) (pow z 4))))))> |
#<alt (* (pow z 4) (+ (* -1 (/ (* x y) (pow z 2))) (+ (* -1 (pow y 2)) (+ (/ (* x y) (pow z 2)) (/ (pow x 2) (pow z 4))))))> |
#<alt (* -1 (* (pow y 2) (pow z 4)))> |
#<alt (+ (* -1 (* (pow y 2) (pow z 4))) (* x (+ (* -1 (* y (pow z 2))) (* y (pow z 2)))))> |
#<alt (+ (* -1 (* (pow y 2) (pow z 4))) (* x (+ x (+ (* -1 (* y (pow z 2))) (* y (pow z 2))))))> |
#<alt (+ (* -1 (* (pow y 2) (pow z 4))) (* x (+ x (+ (* -1 (* y (pow z 2))) (* y (pow z 2))))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ (* y (pow z 2)) x)) (/ (* y (pow z 2)) x))))> |
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ (* y (pow z 2)) x)) (+ (* -1 (/ (* (pow y 2) (pow z 4)) (pow x 2))) (/ (* y (pow z 2)) x)))))> |
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ (* y (pow z 2)) x)) (+ (* -1 (/ (* (pow y 2) (pow z 4)) (pow x 2))) (/ (* y (pow z 2)) x)))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (* y (pow z 2))) (* y (pow z 2))) x))))> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (* y (pow z 2))) (+ (* y (pow z 2)) (/ (* (pow y 2) (pow z 4)) x))) x))))> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (* y (pow z 2))) (+ (* y (pow z 2)) (/ (* (pow y 2) (pow z 4)) x))) x))))> |
#<alt x> |
#<alt (+ x (* -1 (* y (pow z 2))))> |
#<alt (+ x (* -1 (* y (pow z 2))))> |
#<alt (+ x (* -1 (* y (pow z 2))))> |
#<alt (* -1 (* y (pow z 2)))> |
#<alt (* y (+ (* -1 (pow z 2)) (/ x y)))> |
#<alt (* y (+ (* -1 (pow z 2)) (/ x y)))> |
#<alt (* y (+ (* -1 (pow z 2)) (/ x y)))> |
#<alt (* -1 (* y (pow z 2)))> |
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow z 2))))> |
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow z 2))))> |
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow z 2))))> |
#<alt x> |
#<alt (+ x (* -1 (* y (pow z 2))))> |
#<alt (+ x (* -1 (* y (pow z 2))))> |
#<alt (+ x (* -1 (* y (pow z 2))))> |
#<alt (* -1 (* y (pow z 2)))> |
#<alt (* (pow z 2) (+ (* -1 y) (/ x (pow z 2))))> |
#<alt (* (pow z 2) (+ (* -1 y) (/ x (pow z 2))))> |
#<alt (* (pow z 2) (+ (* -1 y) (/ x (pow z 2))))> |
#<alt (* -1 (* y (pow z 2)))> |
#<alt (* (pow z 2) (+ (* -1 y) (/ x (pow z 2))))> |
#<alt (* (pow z 2) (+ (* -1 y) (/ x (pow z 2))))> |
#<alt (* (pow z 2) (+ (* -1 y) (/ x (pow z 2))))> |
#<alt (* -1 (* y (pow z 2)))> |
#<alt (+ x (* -1 (* y (pow z 2))))> |
#<alt (+ x (* -1 (* y (pow z 2))))> |
#<alt (+ x (* -1 (* y (pow z 2))))> |
#<alt x> |
#<alt (* x (+ 1 (* -1 (/ (* y (pow z 2)) x))))> |
#<alt (* x (+ 1 (* -1 (/ (* y (pow z 2)) x))))> |
#<alt (* x (+ 1 (* -1 (/ (* y (pow z 2)) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (/ (* y (pow z 2)) x) 1)))> |
#<alt (* -1 (* x (- (/ (* y (pow z 2)) x) 1)))> |
#<alt (* -1 (* x (- (/ (* y (pow z 2)) x) 1)))> |
#<alt (* -1 (pow z 2))> |
#<alt (* -1 (pow z 2))> |
#<alt (* -1 (pow z 2))> |
#<alt (* -1 (pow z 2))> |
#<alt (* -1 (pow z 2))> |
#<alt (* -1 (pow z 2))> |
#<alt (* -1 (pow z 2))> |
#<alt (* -1 (pow z 2))> |
#<alt (* -1 (pow z 2))> |
#<alt (* -1 (pow z 2))> |
#<alt (* -1 (pow z 2))> |
#<alt (* -1 (pow z 2))> |
#<alt x> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (* y (pow z 2))> |
#<alt (* y (+ (/ x y) (pow z 2)))> |
#<alt (* y (+ (/ x y) (pow z 2)))> |
#<alt (* y (+ (/ x y) (pow z 2)))> |
#<alt (* y (pow z 2))> |
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))> |
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))> |
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))> |
#<alt x> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (* y (pow z 2))> |
#<alt (* (pow z 2) (+ y (/ x (pow z 2))))> |
#<alt (* (pow z 2) (+ y (/ x (pow z 2))))> |
#<alt (* (pow z 2) (+ y (/ x (pow z 2))))> |
#<alt (* y (pow z 2))> |
#<alt (* (pow z 2) (+ y (/ x (pow z 2))))> |
#<alt (* (pow z 2) (+ y (/ x (pow z 2))))> |
#<alt (* (pow z 2) (+ y (/ x (pow z 2))))> |
#<alt (* y (pow z 2))> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (+ x (* y (pow z 2)))> |
#<alt x> |
#<alt (* x (+ 1 (/ (* y (pow z 2)) x)))> |
#<alt (* x (+ 1 (/ (* y (pow z 2)) x)))> |
#<alt (* x (+ 1 (/ (* y (pow z 2)) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))> |
#<alt (/ -1 x)> |
#<alt (- (* -1 (/ (* y (pow z 2)) (pow x 2))) (/ 1 x))> |
#<alt (- (* y (- (* -1 (/ (* y (pow z 4)) (pow x 3))) (/ (pow z 2) (pow x 2)))) (/ 1 x))> |
#<alt (- (* y (- (* y (- (* -1 (/ (* y (pow z 6)) (pow x 4))) (/ (pow z 4) (pow x 3)))) (/ (pow z 2) (pow x 2)))) (/ 1 x))> |
#<alt (/ 1 (* y (pow z 2)))> |
#<alt (/ (+ (/ 1 (pow z 2)) (/ x (* y (pow z 4)))) y)> |
#<alt (/ (- (+ (/ 1 (pow z 2)) (/ (pow x 2) (* (pow y 2) (pow z 6)))) (* -1 (/ x (* y (pow z 4))))) y)> |
#<alt (/ (- (+ (/ 1 (pow z 2)) (/ (pow x 3) (* (pow y 3) (pow z 8)))) (+ (* -1 (/ x (* y (pow z 4)))) (* -1 (/ (pow x 2) (* (pow y 2) (pow z 6)))))) y)> |
#<alt (/ 1 (* y (pow z 2)))> |
#<alt (* -1 (/ (- (* -1 (/ x (* y (pow z 4)))) (/ 1 (pow z 2))) y))> |
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow x 2) (* y (pow z 6))) (* -1 (/ x (pow z 4)))) y)) (/ 1 (pow z 2))) y))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) (* y (pow z 8)))) (/ (pow x 2) (pow z 6))) y)) (* -1 (/ x (pow z 4)))) y)) (/ 1 (pow z 2))) y))> |
#<alt (/ -1 x)> |
#<alt (- (* -1 (/ (* y (pow z 2)) (pow x 2))) (/ 1 x))> |
#<alt (- (* (pow z 2) (- (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 3))) (/ y (pow x 2)))) (/ 1 x))> |
#<alt (- (* (pow z 2) (- (* (pow z 2) (- (* -1 (/ (* (pow y 3) (pow z 2)) (pow x 4))) (/ (pow y 2) (pow x 3)))) (/ y (pow x 2)))) (/ 1 x))> |
#<alt (/ 1 (* y (pow z 2)))> |
#<alt (/ (+ (/ 1 y) (/ x (* (pow y 2) (pow z 2)))) (pow z 2))> |
#<alt (/ (- (+ (/ 1 y) (/ (pow x 2) (* (pow y 3) (pow z 4)))) (* -1 (/ x (* (pow y 2) (pow z 2))))) (pow z 2))> |
#<alt (/ (- (+ (/ 1 y) (/ (pow x 3) (* (pow y 4) (pow z 6)))) (+ (* -1 (/ x (* (pow y 2) (pow z 2)))) (* -1 (/ (pow x 2) (* (pow y 3) (pow z 4)))))) (pow z 2))> |
#<alt (/ 1 (* y (pow z 2)))> |
#<alt (/ (+ (/ 1 y) (/ x (* (pow y 2) (pow z 2)))) (pow z 2))> |
#<alt (/ (- (+ (/ 1 y) (/ (pow x 2) (* (pow y 3) (pow z 4)))) (* -1 (/ x (* (pow y 2) (pow z 2))))) (pow z 2))> |
#<alt (/ (- (+ (/ 1 y) (/ (pow x 3) (* (pow y 4) (pow z 6)))) (+ (* -1 (/ x (* (pow y 2) (pow z 2)))) (* -1 (/ (pow x 2) (* (pow y 3) (pow z 4)))))) (pow z 2))> |
#<alt (/ 1 (* y (pow z 2)))> |
#<alt (+ (/ 1 (* y (pow z 2))) (/ x (* (pow y 2) (pow z 4))))> |
#<alt (+ (* x (+ (/ 1 (* (pow y 2) (pow z 4))) (/ x (* (pow y 3) (pow z 6))))) (/ 1 (* y (pow z 2))))> |
#<alt (+ (* x (+ (* x (+ (/ 1 (* (pow y 3) (pow z 6))) (/ x (* (pow y 4) (pow z 8))))) (/ 1 (* (pow y 2) (pow z 4))))) (/ 1 (* y (pow z 2))))> |
#<alt (/ -1 x)> |
#<alt (/ (- (* -1 (/ (* y (pow z 2)) x)) 1) x)> |
#<alt (/ (- (* -1 (/ (* (pow y 2) (pow z 4)) (pow x 2))) (+ 1 (/ (* y (pow z 2)) x))) x)> |
#<alt (/ (- (* -1 (/ (* (pow y 3) (pow z 6)) (pow x 3))) (+ 1 (+ (/ (* y (pow z 2)) x) (/ (* (pow y 2) (pow z 4)) (pow x 2))))) x)> |
#<alt (/ -1 x)> |
#<alt (* -1 (/ (+ 1 (/ (* y (pow z 2)) x)) x))> |
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (* (pow y 2) (pow z 4)) x)) (* y (pow z 2))) x))) x))> |
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (pow z 6)) x) (* -1 (* (pow y 2) (pow z 4)))) x)) (* y (pow z 2))) x))) x))> |
#<alt x> |
#<alt (+ x (* -1 (* y (pow z 2))))> |
#<alt (+ x (* -1 (* y (pow z 2))))> |
#<alt (+ x (* -1 (* y (pow z 2))))> |
#<alt (* -1 (* y (pow z 2)))> |
#<alt (* y (+ (* -1 (pow z 2)) (/ x y)))> |
#<alt (* y (+ (* -1 (pow z 2)) (/ x y)))> |
#<alt (* y (+ (* -1 (pow z 2)) (/ x y)))> |
#<alt (* -1 (* y (pow z 2)))> |
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow z 2))))> |
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow z 2))))> |
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow z 2))))> |
#<alt x> |
#<alt (+ x (* -1 (* y (pow z 2))))> |
#<alt (+ x (* -1 (* y (pow z 2))))> |
#<alt (+ x (* -1 (* y (pow z 2))))> |
#<alt (* -1 (* y (pow z 2)))> |
#<alt (* (pow z 2) (+ (* -1 y) (/ x (pow z 2))))> |
#<alt (* (pow z 2) (+ (* -1 y) (/ x (pow z 2))))> |
#<alt (* (pow z 2) (+ (* -1 y) (/ x (pow z 2))))> |
#<alt (* -1 (* y (pow z 2)))> |
#<alt (* (pow z 2) (+ (* -1 y) (/ x (pow z 2))))> |
#<alt (* (pow z 2) (+ (* -1 y) (/ x (pow z 2))))> |
#<alt (* (pow z 2) (+ (* -1 y) (/ x (pow z 2))))> |
#<alt (* -1 (* y (pow z 2)))> |
#<alt (+ x (* -1 (* y (pow z 2))))> |
#<alt (+ x (* -1 (* y (pow z 2))))> |
#<alt (+ x (* -1 (* y (pow z 2))))> |
#<alt x> |
#<alt (* x (+ 1 (* -1 (/ (* y (pow z 2)) x))))> |
#<alt (* x (+ 1 (* -1 (/ (* y (pow z 2)) x))))> |
#<alt (* x (+ 1 (* -1 (/ (* y (pow z 2)) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (/ (* y (pow z 2)) x) 1)))> |
#<alt (* -1 (* x (- (/ (* y (pow z 2)) x) 1)))> |
#<alt (* -1 (* x (- (/ (* y (pow z 2)) x) 1)))> |
132 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | 0 | (* (+ (* y (+ (* z z) 0)) (- 0 x)) (* (+ (* y (+ (* z z) 0)) x) (/ 1 (+ (* y (+ (* z z) 0)) (- 0 x))))) |
| 2.0ms | y | @ | inf | (* (+ (* y (+ (* z z) 0)) (- 0 x)) (* (+ (* y (+ (* z z) 0)) x) (/ 1 (+ (* y (+ (* z z) 0)) (- 0 x))))) |
| 2.0ms | y | @ | inf | (/ (+ (* (* (+ (* y (- 0 (+ (* z z) 0))) x) (* y z)) z) (* (+ (* y (- 0 (+ (* z z) 0))) x) x)) (+ (* y (- 0 (* z z))) x)) |
| 1.0ms | z | @ | inf | (/ (+ (* (* (+ (* y (- 0 (+ (* z z) 0))) x) (* y z)) z) (* (+ (* y (- 0 (+ (* z z) 0))) x) x)) (+ (* y (- 0 (* z z))) x)) |
| 1.0ms | y | @ | -inf | (/ (+ (* (* (+ (* y (- 0 (+ (* z z) 0))) x) (* y z)) z) (* (+ (* y (- 0 (+ (* z z) 0))) x) x)) (+ (* y (- 0 (* z z))) x)) |
| 1× | batch-egg-rewrite |
| 4 678× | accelerator-lowering-fma.f32 |
| 4 678× | accelerator-lowering-fma.f64 |
| 4 658× | *-lowering-*.f32 |
| 4 658× | *-lowering-*.f64 |
| 4 068× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 202 |
| 1 | 248 | 134 |
| 2 | 2188 | 125 |
| 0 | 9389 | 119 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (+ (* y (/ (* z z) x)) 1)) |
(+ (* y (/ (* z z) x)) 1) |
(/ (* z z) x) |
(* z z) |
(* y (* z z)) |
(/ 1 (/ 1 (* y (* z z)))) |
(/ 1 (* y (* z z))) |
(* (+ (* y (+ (* z z) 0)) (- 0 x)) (* (+ (* y (+ (* z z) 0)) x) (/ 1 (+ (* y (+ (* z z) 0)) (- 0 x))))) |
(* (+ (* y (+ (* z z) 0)) x) (/ 1 (+ (* y (+ (* z z) 0)) (- 0 x)))) |
(+ (* y (+ (* z z) 0)) (- 0 x)) |
(+ (* z z) 0) |
(/ (+ (* (* (+ (* y (- 0 (+ (* z z) 0))) x) (* y z)) z) (* (+ (* y (- 0 (+ (* z z) 0))) x) x)) (+ (* y (- 0 (* z z))) x)) |
(+ (* (* (+ (* y (- 0 (+ (* z z) 0))) x) (* y z)) z) (* (+ (* y (- 0 (+ (* z z) 0))) x) x)) |
(+ (* y (- 0 (+ (* z z) 0))) x) |
(- 0 (+ (* z z) 0)) |
(+ (* y (+ (* z z) 0)) x) |
(/ 1 (+ (* y (+ (* z z) 0)) (- 0 x))) |
(+ (* y (- 0 (* z z))) x) |
| Outputs |
|---|
(+.f64 x (*.f64 x (*.f64 y (/.f64 (fma.f64 z z #s(literal 0 binary64)) x)))) |
(+.f64 (*.f64 x (*.f64 y (/.f64 (fma.f64 z z #s(literal 0 binary64)) x))) x) |
(fma.f64 x (*.f64 y (/.f64 (fma.f64 z z #s(literal 0 binary64)) x)) x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 x (*.f64 y (/.f64 (fma.f64 z z #s(literal 0 binary64)) x)))) |
(fma.f64 y (*.f64 (/.f64 (fma.f64 z z #s(literal 0 binary64)) x) x) x) |
(fma.f64 (/.f64 (fma.f64 z z #s(literal 0 binary64)) x) (*.f64 y x) x) |
(fma.f64 (*.f64 y (/.f64 (fma.f64 z z #s(literal 0 binary64)) x)) x x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 x (*.f64 y (/.f64 (fma.f64 z z #s(literal 0 binary64)) x)))) |
(fma.f64 (*.f64 x y) (/.f64 (fma.f64 z z #s(literal 0 binary64)) x) x) |
(fma.f64 (*.f64 x (/.f64 (fma.f64 z z #s(literal 0 binary64)) x)) y x) |
(/.f64 (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (/.f64 (*.f64 (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 z (*.f64 z (fma.f64 z z #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 y y))) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 (*.f64 x (*.f64 y (/.f64 (fma.f64 z z #s(literal 0 binary64)) x))) (*.f64 x (*.f64 y (/.f64 (fma.f64 z z #s(literal 0 binary64)) x))) (-.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (*.f64 x (*.f64 y (/.f64 (fma.f64 z z #s(literal 0 binary64)) x))) x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 y (/.f64 (fma.f64 z z #s(literal 0 binary64)) x))) (*.f64 x (*.f64 y (/.f64 (fma.f64 z z #s(literal 0 binary64)) x)))) (fma.f64 x x #s(literal 0 binary64))) (-.f64 (*.f64 x (*.f64 y (/.f64 (fma.f64 z z #s(literal 0 binary64)) x))) x)) |
(/.f64 (*.f64 x (fma.f64 (*.f64 y (*.f64 y y)) (/.f64 (fma.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 z (*.f64 z (fma.f64 z z #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) #s(literal 1 binary64))) (+.f64 (/.f64 (*.f64 (fma.f64 z (*.f64 z (fma.f64 z z #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 y y)) (fma.f64 x x #s(literal 0 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (fma.f64 z z #s(literal 0 binary64)) x))))) |
(/.f64 (*.f64 x (+.f64 (/.f64 (*.f64 (fma.f64 z (*.f64 z (fma.f64 z z #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 y y)) (fma.f64 x x #s(literal 0 binary64))) #s(literal -1 binary64))) (fma.f64 y (/.f64 (fma.f64 z z #s(literal 0 binary64)) x) #s(literal -1 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (/.f64 (fma.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 z (*.f64 z (fma.f64 z z #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) #s(literal 1 binary64)) x) (+.f64 (/.f64 (*.f64 (fma.f64 z (*.f64 z (fma.f64 z z #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 y y)) (fma.f64 x x #s(literal 0 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (fma.f64 z z #s(literal 0 binary64)) x))))) |
(/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (fma.f64 z (*.f64 z (fma.f64 z z #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 y y)) (fma.f64 x x #s(literal 0 binary64))) #s(literal -1 binary64)) x) (fma.f64 y (/.f64 (fma.f64 z z #s(literal 0 binary64)) x) #s(literal -1 binary64))) |
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) x (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 y (*.f64 (fma.f64 z z #s(literal 0 binary64)) x)))) (*.f64 (-.f64 #s(literal 0 binary64) x) x)) |
(/.f64 (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) x (*.f64 (+.f64 #s(literal 0 binary64) (-.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 y (*.f64 (fma.f64 z z #s(literal 0 binary64)) x)))) (*.f64 (+.f64 #s(literal 0 binary64) (-.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) x)) |
(/.f64 (fma.f64 (*.f64 y (*.f64 (fma.f64 z z #s(literal 0 binary64)) x)) (-.f64 #s(literal 0 binary64) x) (*.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))) (*.f64 x (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (fma.f64 (*.f64 y (*.f64 (fma.f64 z z #s(literal 0 binary64)) x)) (+.f64 #s(literal 0 binary64) (-.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (*.f64 x (+.f64 #s(literal 0 binary64) (-.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))))) |
(*.f64 x (fma.f64 y (/.f64 (fma.f64 z z #s(literal 0 binary64)) x) #s(literal 1 binary64))) |
(*.f64 (fma.f64 y (/.f64 (fma.f64 z z #s(literal 0 binary64)) x) #s(literal 1 binary64)) x) |
(+.f64 (*.f64 y (/.f64 (fma.f64 z z #s(literal 0 binary64)) x)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (fma.f64 z z #s(literal 0 binary64)) x))) |
(-.f64 (/.f64 (/.f64 (*.f64 (fma.f64 z (*.f64 z (fma.f64 z z #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 y y)) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 y (/.f64 (fma.f64 z z #s(literal 0 binary64)) x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 (fma.f64 z z #s(literal 0 binary64)) x) #s(literal -1 binary64)))) |
(fma.f64 y (/.f64 (fma.f64 z z #s(literal 0 binary64)) x) #s(literal 1 binary64)) |
(fma.f64 y (*.f64 (/.f64 (fma.f64 z z #s(literal 0 binary64)) x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 z (*.f64 (/.f64 z x) y) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 z z #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 z z #s(literal 0 binary64)) (/.f64 y x) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (fma.f64 z z #s(literal 0 binary64)) x) y #s(literal 1 binary64)) |
(fma.f64 (/.f64 (fma.f64 z z #s(literal 0 binary64)) x) (*.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y (/.f64 (fma.f64 z z #s(literal 0 binary64)) x)) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (fma.f64 z z #s(literal 0 binary64)) x)) #s(literal 1 binary64)) |
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| 1× | egg-herbie |
| 9 232× | accelerator-lowering-fma.f32 |
| 9 232× | accelerator-lowering-fma.f64 |
| 4 606× | *-lowering-*.f32 |
| 4 606× | *-lowering-*.f64 |
| 3 144× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 561 | 6268 |
| 1 | 1898 | 5578 |
| 2 | 6839 | 5463 |
| 0 | 8075 | 5274 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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(+ x (* y (pow z 2))) |
(+ x (* y (pow z 2))) |
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(* x (+ 1 (/ (* y (pow z 2)) x))) |
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(/ (* y (pow z 2)) x) |
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(/ (* y (pow z 2)) x) |
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(/ (+ x (* y (pow z 2))) x) |
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(/ 1 (* y (pow z 2))) |
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(* y (pow z 2)) |
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x |
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(* y (pow z 2)) |
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x |
(* x (+ 1 (/ (* y (pow z 2)) x))) |
(* x (+ 1 (/ (* y (pow z 2)) x))) |
(* x (+ 1 (/ (* y (pow z 2)) x))) |
x |
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) |
-1 |
(- (* y (- (* -1 (/ (pow z 2) x)) (/ (pow z 2) x))) 1) |
(- (* y (- (+ (* -1 (/ (pow z 2) x)) (/ (* y (* (pow z 2) (- (* -1 (/ (pow z 2) x)) (/ (pow z 2) x)))) x)) (/ (pow z 2) x))) 1) |
(- (* y (- (+ (* -1 (/ (pow z 2) x)) (* y (- (/ (* y (* (pow z 4) (- (* -1 (/ (pow z 2) x)) (/ (pow z 2) x)))) (pow x 2)) (* -1 (/ (* (pow z 2) (- (* -1 (/ (pow z 2) x)) (/ (pow z 2) x))) x))))) (/ (pow z 2) x))) 1) |
1 |
(- (+ 1 (/ x (* y (pow z 2)))) (* -1 (/ x (* y (pow z 2))))) |
(- (+ 1 (+ (/ x (* y (pow z 2))) (/ (* x (- (/ x (pow z 2)) (* -1 (/ x (pow z 2))))) (* (pow y 2) (pow z 2))))) (* -1 (/ x (* y (pow z 2))))) |
(- (+ 1 (+ (/ x (* y (pow z 2))) (/ (* (pow x 2) (- (/ x (pow z 2)) (* -1 (/ x (pow z 2))))) (* (pow y 3) (pow z 4))))) (+ (* -1 (/ x (* y (pow z 2)))) (* -1 (/ (* x (- (/ x (pow z 2)) (* -1 (/ x (pow z 2))))) (* (pow y 2) (pow z 2)))))) |
1 |
(+ 1 (* -1 (/ (- (* -1 (/ x (pow z 2))) (/ x (pow z 2))) y))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ x (pow z 2))) (/ (* x (- (* -1 (/ x (pow z 2))) (/ x (pow z 2)))) (* y (pow z 2)))) (/ x (pow z 2))) y))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ x (pow z 2))) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 (/ x (pow z 2))) (/ x (pow z 2)))) (* y (pow z 4)))) (/ (* x (- (* -1 (/ x (pow z 2))) (/ x (pow z 2)))) (pow z 2))) y))) (/ x (pow z 2))) y))) |
-1 |
(- (* (pow z 2) (- (* -1 (/ y x)) (/ y x))) 1) |
(- (* (pow z 2) (- (+ (* -1 (/ y x)) (/ (* y (* (pow z 2) (- (* -1 (/ y x)) (/ y x)))) x)) (/ y x))) 1) |
(- (* (pow z 2) (- (+ (* -1 (/ y x)) (* (pow z 2) (- (/ (* (pow y 2) (* (pow z 2) (- (* -1 (/ y x)) (/ y x)))) (pow x 2)) (* -1 (/ (* y (- (* -1 (/ y x)) (/ y x))) x))))) (/ y x))) 1) |
1 |
(- (+ 1 (/ x (* y (pow z 2)))) (* -1 (/ x (* y (pow z 2))))) |
(- (+ 1 (+ (/ x (* y (pow z 2))) (/ (* x (- (/ x y) (* -1 (/ x y)))) (* y (pow z 4))))) (* -1 (/ x (* y (pow z 2))))) |
(- (+ 1 (+ (/ x (* y (pow z 2))) (/ (* (pow x 2) (- (/ x y) (* -1 (/ x y)))) (* (pow y 2) (pow z 6))))) (+ (* -1 (/ x (* y (pow z 2)))) (* -1 (/ (* x (- (/ x y) (* -1 (/ x y)))) (* y (pow z 4)))))) |
1 |
(- (+ 1 (/ x (* y (pow z 2)))) (* -1 (/ x (* y (pow z 2))))) |
(- (+ 1 (+ (/ x (* y (pow z 2))) (/ (* x (- (/ x y) (* -1 (/ x y)))) (* y (pow z 4))))) (* -1 (/ x (* y (pow z 2))))) |
(- (+ 1 (+ (/ x (* y (pow z 2))) (/ (* (pow x 2) (- (/ x y) (* -1 (/ x y)))) (* (pow y 2) (pow z 6))))) (+ (* -1 (/ x (* y (pow z 2)))) (* -1 (/ (* x (- (/ x y) (* -1 (/ x y)))) (* y (pow z 4)))))) |
1 |
(+ 1 (* 2 (/ x (* y (pow z 2))))) |
(+ 1 (* x (+ (* 2 (/ x (* (pow y 2) (pow z 4)))) (* 2 (/ 1 (* y (pow z 2))))))) |
(+ 1 (* x (+ (* x (+ (* 2 (/ x (* (pow y 3) (pow z 6)))) (* 2 (/ 1 (* (pow y 2) (pow z 4)))))) (* 2 (/ 1 (* y (pow z 2))))))) |
-1 |
(- (* -1 (/ (* y (pow z 2)) x)) (+ 1 (/ (* y (pow z 2)) x))) |
(- (+ (* -1 (/ (* y (pow z 2)) x)) (/ (* y (* (pow z 2) (- (* -1 (* y (pow z 2))) (* y (pow z 2))))) (pow x 2))) (+ 1 (/ (* y (pow z 2)) x))) |
(- (+ (* -1 (/ (* y (pow z 2)) x)) (/ (* (pow y 2) (* (pow z 4) (- (* -1 (* y (pow z 2))) (* y (pow z 2))))) (pow x 3))) (+ 1 (+ (* -1 (/ (* y (* (pow z 2) (- (* -1 (* y (pow z 2))) (* y (pow z 2))))) (pow x 2))) (/ (* y (pow z 2)) x)))) |
-1 |
(- (* -1 (/ (- (* y (pow z 2)) (* -1 (* y (pow z 2)))) x)) 1) |
(- (* -1 (/ (- (+ (* y (pow z 2)) (/ (* y (* (pow z 2) (- (* y (pow z 2)) (* -1 (* y (pow z 2)))))) x)) (* -1 (* y (pow z 2)))) x)) 1) |
(- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow y 2) (* (pow z 4) (- (* y (pow z 2)) (* -1 (* y (pow z 2)))))) x)) (* y (* (pow z 2) (- (* y (pow z 2)) (* -1 (* y (pow z 2))))))) x)) (* y (pow z 2))) (* -1 (* y (pow z 2)))) x)) 1) |
(* -1 x) |
(- (* y (pow z 2)) x) |
(- (* y (pow z 2)) x) |
(- (* y (pow z 2)) x) |
(* y (pow z 2)) |
(* y (+ (* -1 (/ x y)) (pow z 2))) |
(* y (+ (* -1 (/ x y)) (pow z 2))) |
(* y (+ (* -1 (/ x y)) (pow z 2))) |
(* y (pow z 2)) |
(* -1 (* y (+ (* -1 (pow z 2)) (/ x y)))) |
(* -1 (* y (+ (* -1 (pow z 2)) (/ x y)))) |
(* -1 (* y (+ (* -1 (pow z 2)) (/ x y)))) |
(* -1 x) |
(- (* y (pow z 2)) x) |
(- (* y (pow z 2)) x) |
(- (* y (pow z 2)) x) |
(* y (pow z 2)) |
(* (pow z 2) (+ y (* -1 (/ x (pow z 2))))) |
(* (pow z 2) (+ y (* -1 (/ x (pow z 2))))) |
(* (pow z 2) (+ y (* -1 (/ x (pow z 2))))) |
(* y (pow z 2)) |
(* (pow z 2) (+ y (* -1 (/ x (pow z 2))))) |
(* (pow z 2) (+ y (* -1 (/ x (pow z 2))))) |
(* (pow z 2) (+ y (* -1 (/ x (pow z 2))))) |
(* y (pow z 2)) |
(+ (* -1 x) (* y (pow z 2))) |
(+ (* -1 x) (* y (pow z 2))) |
(+ (* -1 x) (* y (pow z 2))) |
(* -1 x) |
(* x (- (/ (* y (pow z 2)) x) 1)) |
(* x (- (/ (* y (pow z 2)) x) 1)) |
(* x (- (/ (* y (pow z 2)) x) 1)) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (* y (pow z 2)) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (* y (pow z 2)) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (* y (pow z 2)) x))))) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
x |
(+ x (* y (pow z 2))) |
(+ x (* y (pow z 2))) |
(+ x (* y (pow z 2))) |
(* y (pow z 2)) |
(* y (- (+ (* -1 (/ (+ (* -1 (* x (pow z 2))) (* x (pow z 2))) (* y (pow z 2)))) (pow z 2)) (* -1 (/ x y)))) |
(* y (- (+ (* -1 (/ (+ (* -1 (* x (pow z 2))) (* x (pow z 2))) (* y (pow z 2)))) (+ (* -1 (/ (pow x 2) (* (pow y 2) (pow z 2)))) (pow z 2))) (+ (* -1 (/ x y)) (* -1 (/ (* x (- (* -1 (/ (+ (* -1 (* x (pow z 2))) (* x (pow z 2))) (pow z 2))) (* -1 x))) (* (pow y 2) (pow z 2))))))) |
(* y (- (+ (* -1 (/ (+ (* -1 (* x (pow z 2))) (* x (pow z 2))) (* y (pow z 2)))) (+ (* -1 (/ (pow x 2) (* (pow y 2) (pow z 2)))) (+ (/ (* x (- (* -1 (/ (pow x 2) (pow z 2))) (* -1 (/ (* x (- (* -1 (/ (+ (* -1 (* x (pow z 2))) (* x (pow z 2))) (pow z 2))) (* -1 x))) (pow z 2))))) (* (pow y 3) (pow z 2))) (pow z 2)))) (+ (* -1 (/ x y)) (* -1 (/ (* x (- (* -1 (/ (+ (* -1 (* x (pow z 2))) (* x (pow z 2))) (pow z 2))) (* -1 x))) (* (pow y 2) (pow z 2))))))) |
(* y (pow z 2)) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2))))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2))))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2))))) |
x |
(+ x (* y (pow z 2))) |
(+ x (* y (pow z 2))) |
(+ x (* y (pow z 2))) |
(* y (pow z 2)) |
(* (pow z 2) (- (+ y (* -1 (/ (+ (* -1 (* x y)) (* x y)) (* y (pow z 2))))) (* -1 (/ x (pow z 2))))) |
(* (pow z 2) (- (+ y (+ (* -1 (/ (+ (* -1 (* x y)) (* x y)) (* y (pow z 2)))) (* -1 (/ (pow x 2) (* y (pow z 4)))))) (+ (* -1 (/ x (pow z 2))) (* -1 (/ (* x (- (* -1 (/ (+ (* -1 (* x y)) (* x y)) y)) (* -1 x))) (* y (pow z 4))))))) |
(* (pow z 2) (- (+ y (+ (* -1 (/ (+ (* -1 (* x y)) (* x y)) (* y (pow z 2)))) (+ (* -1 (/ (pow x 2) (* y (pow z 4)))) (/ (* x (- (* -1 (/ (pow x 2) y)) (* -1 (/ (* x (- (* -1 (/ (+ (* -1 (* x y)) (* x y)) y)) (* -1 x))) y)))) (* y (pow z 6)))))) (+ (* -1 (/ x (pow z 2))) (* -1 (/ (* x (- (* -1 (/ (+ (* -1 (* x y)) (* x y)) y)) (* -1 x))) (* y (pow z 4))))))) |
(* y (pow z 2)) |
(* (pow z 2) (- (+ y (* -1 (/ (+ (* -1 (* x y)) (* x y)) (* y (pow z 2))))) (* -1 (/ x (pow z 2))))) |
(* (pow z 2) (- (+ y (+ (* -1 (/ (+ (* -1 (* x y)) (* x y)) (* y (pow z 2)))) (* -1 (/ (pow x 2) (* y (pow z 4)))))) (+ (* -1 (/ x (pow z 2))) (* -1 (/ (* x (- (* -1 (/ (+ (* -1 (* x y)) (* x y)) y)) (* -1 x))) (* y (pow z 4))))))) |
(* (pow z 2) (- (+ y (+ (* -1 (/ (+ (* -1 (* x y)) (* x y)) (* y (pow z 2)))) (+ (* -1 (/ (pow x 2) (* y (pow z 4)))) (/ (* x (- (* -1 (/ (pow x 2) y)) (* -1 (/ (* x (- (* -1 (/ (+ (* -1 (* x y)) (* x y)) y)) (* -1 x))) y)))) (* y (pow z 6)))))) (+ (* -1 (/ x (pow z 2))) (* -1 (/ (* x (- (* -1 (/ (+ (* -1 (* x y)) (* x y)) y)) (* -1 x))) (* y (pow z 4))))))) |
(* y (pow z 2)) |
(+ (* x (+ 1 (* -1 (/ (+ (* -1 (* y (pow z 2))) (* y (pow z 2))) (* y (pow z 2)))))) (* y (pow z 2))) |
(+ (* x (+ 1 (+ (* -1 (* x (+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (* y (pow z 2))) (* y (pow z 2))) (* y (pow z 2))))) (* y (pow z 2)))) (/ 1 (* y (pow z 2)))))) (* -1 (/ (+ (* -1 (* y (pow z 2))) (* y (pow z 2))) (* y (pow z 2))))))) (* y (pow z 2))) |
(+ (* x (+ 1 (+ (* -1 (/ (+ (* -1 (* y (pow z 2))) (* y (pow z 2))) (* y (pow z 2)))) (* x (- (* -1 (* x (+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (* y (pow z 2))) (* y (pow z 2))) (* y (pow z 2))))) (* (pow y 2) (pow z 4)))) (/ 1 (* (pow y 2) (pow z 4)))))) (+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (* y (pow z 2))) (* y (pow z 2))) (* y (pow z 2))))) (* y (pow z 2)))) (/ 1 (* y (pow z 2))))))))) (* y (pow z 2))) |
x |
(* x (+ 1 (/ (* y (pow z 2)) x))) |
(* x (+ 1 (/ (* y (pow z 2)) x))) |
(* x (+ 1 (/ (* y (pow z 2)) x))) |
x |
(* -1 (* x (- (* -1 (/ (- (* -1 (+ (* -1 (* y (pow z 2))) (* y (pow z 2)))) (* -1 (* y (pow z 2)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (+ (* -1 (* y (pow z 2))) (* y (pow z 2)))) (* -1 (/ (- (* (pow y 2) (pow z 4)) (* y (* (pow z 2) (- (* -1 (+ (* -1 (* y (pow z 2))) (* y (pow z 2)))) (* -1 (* y (pow z 2))))))) x))) (* -1 (* y (pow z 2)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (+ (* -1 (* y (pow z 2))) (* y (pow z 2)))) (* -1 (/ (- (+ (* (pow y 2) (pow z 4)) (/ (* y (* (pow z 2) (- (* (pow y 2) (pow z 4)) (* y (* (pow z 2) (- (* -1 (+ (* -1 (* y (pow z 2))) (* y (pow z 2)))) (* -1 (* y (pow z 2))))))))) x)) (* y (* (pow z 2) (- (* -1 (+ (* -1 (* y (pow z 2))) (* y (pow z 2)))) (* -1 (* y (pow z 2))))))) x))) (* -1 (* y (pow z 2)))) x)) 1))) |
(pow x 2) |
(+ (* y (+ (* -1 (* x (pow z 2))) (* x (pow z 2)))) (pow x 2)) |
(+ (* y (+ (* -1 (* x (pow z 2))) (+ (* -1 (* y (pow z 4))) (* x (pow z 2))))) (pow x 2)) |
(+ (* y (+ (* -1 (* x (pow z 2))) (+ (* -1 (* y (pow z 4))) (* x (pow z 2))))) (pow x 2)) |
(* -1 (* (pow y 2) (pow z 4))) |
(* (pow y 2) (+ (* -1 (/ (* x (pow z 2)) y)) (+ (* -1 (pow z 4)) (/ (* x (pow z 2)) y)))) |
(* (pow y 2) (+ (* -1 (/ (* x (pow z 2)) y)) (+ (* -1 (pow z 4)) (+ (/ (* x (pow z 2)) y) (/ (pow x 2) (pow y 2)))))) |
(* (pow y 2) (+ (* -1 (/ (* x (pow z 2)) y)) (+ (* -1 (pow z 4)) (+ (/ (* x (pow z 2)) y) (/ (pow x 2) (pow y 2)))))) |
(* -1 (* (pow y 2) (pow z 4))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (* x (pow z 2))) (* x (pow z 2))) y)) (* -1 (pow z 4)))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (* x (pow z 2))) (+ (* -1 (/ (pow x 2) y)) (* x (pow z 2)))) y)) (* -1 (pow z 4)))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (* x (pow z 2))) (+ (* -1 (/ (pow x 2) y)) (* x (pow z 2)))) y)) (* -1 (pow z 4)))) |
(pow x 2) |
(+ (* (pow z 2) (+ (* -1 (* x y)) (* x y))) (pow x 2)) |
(+ (* (pow z 2) (+ (* -1 (* x y)) (+ (* -1 (* (pow y 2) (pow z 2))) (* x y)))) (pow x 2)) |
(+ (* (pow z 2) (+ (* -1 (* x y)) (+ (* -1 (* (pow y 2) (pow z 2))) (* x y)))) (pow x 2)) |
(* -1 (* (pow y 2) (pow z 4))) |
(* (pow z 4) (+ (* -1 (/ (* x y) (pow z 2))) (+ (* -1 (pow y 2)) (/ (* x y) (pow z 2))))) |
(* (pow z 4) (+ (* -1 (/ (* x y) (pow z 2))) (+ (* -1 (pow y 2)) (+ (/ (* x y) (pow z 2)) (/ (pow x 2) (pow z 4)))))) |
(* (pow z 4) (+ (* -1 (/ (* x y) (pow z 2))) (+ (* -1 (pow y 2)) (+ (/ (* x y) (pow z 2)) (/ (pow x 2) (pow z 4)))))) |
(* -1 (* (pow y 2) (pow z 4))) |
(* (pow z 4) (+ (* -1 (/ (* x y) (pow z 2))) (+ (* -1 (pow y 2)) (/ (* x y) (pow z 2))))) |
(* (pow z 4) (+ (* -1 (/ (* x y) (pow z 2))) (+ (* -1 (pow y 2)) (+ (/ (* x y) (pow z 2)) (/ (pow x 2) (pow z 4)))))) |
(* (pow z 4) (+ (* -1 (/ (* x y) (pow z 2))) (+ (* -1 (pow y 2)) (+ (/ (* x y) (pow z 2)) (/ (pow x 2) (pow z 4)))))) |
(* -1 (* (pow y 2) (pow z 4))) |
(+ (* -1 (* (pow y 2) (pow z 4))) (* x (+ (* -1 (* y (pow z 2))) (* y (pow z 2))))) |
(+ (* -1 (* (pow y 2) (pow z 4))) (* x (+ x (+ (* -1 (* y (pow z 2))) (* y (pow z 2)))))) |
(+ (* -1 (* (pow y 2) (pow z 4))) (* x (+ x (+ (* -1 (* y (pow z 2))) (* y (pow z 2)))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (+ (* -1 (/ (* y (pow z 2)) x)) (/ (* y (pow z 2)) x)))) |
(* (pow x 2) (+ 1 (+ (* -1 (/ (* y (pow z 2)) x)) (+ (* -1 (/ (* (pow y 2) (pow z 4)) (pow x 2))) (/ (* y (pow z 2)) x))))) |
(* (pow x 2) (+ 1 (+ (* -1 (/ (* y (pow z 2)) x)) (+ (* -1 (/ (* (pow y 2) (pow z 4)) (pow x 2))) (/ (* y (pow z 2)) x))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (* y (pow z 2))) (* y (pow z 2))) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (* y (pow z 2))) (+ (* y (pow z 2)) (/ (* (pow y 2) (pow z 4)) x))) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (* y (pow z 2))) (+ (* y (pow z 2)) (/ (* (pow y 2) (pow z 4)) x))) x)))) |
x |
(+ x (* -1 (* y (pow z 2)))) |
(+ x (* -1 (* y (pow z 2)))) |
(+ x (* -1 (* y (pow z 2)))) |
(* -1 (* y (pow z 2))) |
(* y (+ (* -1 (pow z 2)) (/ x y))) |
(* y (+ (* -1 (pow z 2)) (/ x y))) |
(* y (+ (* -1 (pow z 2)) (/ x y))) |
(* -1 (* y (pow z 2))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow z 2)))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow z 2)))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow z 2)))) |
x |
(+ x (* -1 (* y (pow z 2)))) |
(+ x (* -1 (* y (pow z 2)))) |
(+ x (* -1 (* y (pow z 2)))) |
(* -1 (* y (pow z 2))) |
(* (pow z 2) (+ (* -1 y) (/ x (pow z 2)))) |
(* (pow z 2) (+ (* -1 y) (/ x (pow z 2)))) |
(* (pow z 2) (+ (* -1 y) (/ x (pow z 2)))) |
(* -1 (* y (pow z 2))) |
(* (pow z 2) (+ (* -1 y) (/ x (pow z 2)))) |
(* (pow z 2) (+ (* -1 y) (/ x (pow z 2)))) |
(* (pow z 2) (+ (* -1 y) (/ x (pow z 2)))) |
(* -1 (* y (pow z 2))) |
(+ x (* -1 (* y (pow z 2)))) |
(+ x (* -1 (* y (pow z 2)))) |
(+ x (* -1 (* y (pow z 2)))) |
x |
(* x (+ 1 (* -1 (/ (* y (pow z 2)) x)))) |
(* x (+ 1 (* -1 (/ (* y (pow z 2)) x)))) |
(* x (+ 1 (* -1 (/ (* y (pow z 2)) x)))) |
x |
(* -1 (* x (- (/ (* y (pow z 2)) x) 1))) |
(* -1 (* x (- (/ (* y (pow z 2)) x) 1))) |
(* -1 (* x (- (/ (* y (pow z 2)) x) 1))) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
x |
(+ x (* y (pow z 2))) |
(+ x (* y (pow z 2))) |
(+ x (* y (pow z 2))) |
(* y (pow z 2)) |
(* y (+ (/ x y) (pow z 2))) |
(* y (+ (/ x y) (pow z 2))) |
(* y (+ (/ x y) (pow z 2))) |
(* y (pow z 2)) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2))))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2))))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2))))) |
x |
(+ x (* y (pow z 2))) |
(+ x (* y (pow z 2))) |
(+ x (* y (pow z 2))) |
(* y (pow z 2)) |
(* (pow z 2) (+ y (/ x (pow z 2)))) |
(* (pow z 2) (+ y (/ x (pow z 2)))) |
(* (pow z 2) (+ y (/ x (pow z 2)))) |
(* y (pow z 2)) |
(* (pow z 2) (+ y (/ x (pow z 2)))) |
(* (pow z 2) (+ y (/ x (pow z 2)))) |
(* (pow z 2) (+ y (/ x (pow z 2)))) |
(* y (pow z 2)) |
(+ x (* y (pow z 2))) |
(+ x (* y (pow z 2))) |
(+ x (* y (pow z 2))) |
x |
(* x (+ 1 (/ (* y (pow z 2)) x))) |
(* x (+ 1 (/ (* y (pow z 2)) x))) |
(* x (+ 1 (/ (* y (pow z 2)) x))) |
x |
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) |
(/ -1 x) |
(- (* -1 (/ (* y (pow z 2)) (pow x 2))) (/ 1 x)) |
(- (* y (- (* -1 (/ (* y (pow z 4)) (pow x 3))) (/ (pow z 2) (pow x 2)))) (/ 1 x)) |
(- (* y (- (* y (- (* -1 (/ (* y (pow z 6)) (pow x 4))) (/ (pow z 4) (pow x 3)))) (/ (pow z 2) (pow x 2)))) (/ 1 x)) |
(/ 1 (* y (pow z 2))) |
(/ (+ (/ 1 (pow z 2)) (/ x (* y (pow z 4)))) y) |
(/ (- (+ (/ 1 (pow z 2)) (/ (pow x 2) (* (pow y 2) (pow z 6)))) (* -1 (/ x (* y (pow z 4))))) y) |
(/ (- (+ (/ 1 (pow z 2)) (/ (pow x 3) (* (pow y 3) (pow z 8)))) (+ (* -1 (/ x (* y (pow z 4)))) (* -1 (/ (pow x 2) (* (pow y 2) (pow z 6)))))) y) |
(/ 1 (* y (pow z 2))) |
(* -1 (/ (- (* -1 (/ x (* y (pow z 4)))) (/ 1 (pow z 2))) y)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) (* y (pow z 6))) (* -1 (/ x (pow z 4)))) y)) (/ 1 (pow z 2))) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) (* y (pow z 8)))) (/ (pow x 2) (pow z 6))) y)) (* -1 (/ x (pow z 4)))) y)) (/ 1 (pow z 2))) y)) |
(/ -1 x) |
(- (* -1 (/ (* y (pow z 2)) (pow x 2))) (/ 1 x)) |
(- (* (pow z 2) (- (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 3))) (/ y (pow x 2)))) (/ 1 x)) |
(- (* (pow z 2) (- (* (pow z 2) (- (* -1 (/ (* (pow y 3) (pow z 2)) (pow x 4))) (/ (pow y 2) (pow x 3)))) (/ y (pow x 2)))) (/ 1 x)) |
(/ 1 (* y (pow z 2))) |
(/ (+ (/ 1 y) (/ x (* (pow y 2) (pow z 2)))) (pow z 2)) |
(/ (- (+ (/ 1 y) (/ (pow x 2) (* (pow y 3) (pow z 4)))) (* -1 (/ x (* (pow y 2) (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 y) (/ (pow x 3) (* (pow y 4) (pow z 6)))) (+ (* -1 (/ x (* (pow y 2) (pow z 2)))) (* -1 (/ (pow x 2) (* (pow y 3) (pow z 4)))))) (pow z 2)) |
(/ 1 (* y (pow z 2))) |
(/ (+ (/ 1 y) (/ x (* (pow y 2) (pow z 2)))) (pow z 2)) |
(/ (- (+ (/ 1 y) (/ (pow x 2) (* (pow y 3) (pow z 4)))) (* -1 (/ x (* (pow y 2) (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 y) (/ (pow x 3) (* (pow y 4) (pow z 6)))) (+ (* -1 (/ x (* (pow y 2) (pow z 2)))) (* -1 (/ (pow x 2) (* (pow y 3) (pow z 4)))))) (pow z 2)) |
(/ 1 (* y (pow z 2))) |
(+ (/ 1 (* y (pow z 2))) (/ x (* (pow y 2) (pow z 4)))) |
(+ (* x (+ (/ 1 (* (pow y 2) (pow z 4))) (/ x (* (pow y 3) (pow z 6))))) (/ 1 (* y (pow z 2)))) |
(+ (* x (+ (* x (+ (/ 1 (* (pow y 3) (pow z 6))) (/ x (* (pow y 4) (pow z 8))))) (/ 1 (* (pow y 2) (pow z 4))))) (/ 1 (* y (pow z 2)))) |
(/ -1 x) |
(/ (- (* -1 (/ (* y (pow z 2)) x)) 1) x) |
(/ (- (* -1 (/ (* (pow y 2) (pow z 4)) (pow x 2))) (+ 1 (/ (* y (pow z 2)) x))) x) |
(/ (- (* -1 (/ (* (pow y 3) (pow z 6)) (pow x 3))) (+ 1 (+ (/ (* y (pow z 2)) x) (/ (* (pow y 2) (pow z 4)) (pow x 2))))) x) |
(/ -1 x) |
(* -1 (/ (+ 1 (/ (* y (pow z 2)) x)) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (* (pow y 2) (pow z 4)) x)) (* y (pow z 2))) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (pow z 6)) x) (* -1 (* (pow y 2) (pow z 4)))) x)) (* y (pow z 2))) x))) x)) |
x |
(+ x (* -1 (* y (pow z 2)))) |
(+ x (* -1 (* y (pow z 2)))) |
(+ x (* -1 (* y (pow z 2)))) |
(* -1 (* y (pow z 2))) |
(* y (+ (* -1 (pow z 2)) (/ x y))) |
(* y (+ (* -1 (pow z 2)) (/ x y))) |
(* y (+ (* -1 (pow z 2)) (/ x y))) |
(* -1 (* y (pow z 2))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow z 2)))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow z 2)))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow z 2)))) |
x |
(+ x (* -1 (* y (pow z 2)))) |
(+ x (* -1 (* y (pow z 2)))) |
(+ x (* -1 (* y (pow z 2)))) |
(* -1 (* y (pow z 2))) |
(* (pow z 2) (+ (* -1 y) (/ x (pow z 2)))) |
(* (pow z 2) (+ (* -1 y) (/ x (pow z 2)))) |
(* (pow z 2) (+ (* -1 y) (/ x (pow z 2)))) |
(* -1 (* y (pow z 2))) |
(* (pow z 2) (+ (* -1 y) (/ x (pow z 2)))) |
(* (pow z 2) (+ (* -1 y) (/ x (pow z 2)))) |
(* (pow z 2) (+ (* -1 y) (/ x (pow z 2)))) |
(* -1 (* y (pow z 2))) |
(+ x (* -1 (* y (pow z 2)))) |
(+ x (* -1 (* y (pow z 2)))) |
(+ x (* -1 (* y (pow z 2)))) |
x |
(* x (+ 1 (* -1 (/ (* y (pow z 2)) x)))) |
(* x (+ 1 (* -1 (/ (* y (pow z 2)) x)))) |
(* x (+ 1 (* -1 (/ (* y (pow z 2)) x)))) |
x |
(* -1 (* x (- (/ (* y (pow z 2)) x) 1))) |
(* -1 (* x (- (/ (* y (pow z 2)) x) 1))) |
(* -1 (* x (- (/ (* y (pow z 2)) x) 1))) |
| Outputs |
|---|
(* y (pow z 2)) |
(fma.f64 y (*.f64 z z) #s(literal 0 binary64)) |
(+ x (* y (pow z 2))) |
(fma.f64 y (*.f64 z z) x) |
(+ x (* y (pow z 2))) |
(fma.f64 y (*.f64 z z) x) |
(+ x (* y (pow z 2))) |
(fma.f64 y (*.f64 z z) x) |
x |
(* x (+ 1 (/ (* y (pow z 2)) x))) |
(*.f64 x (fma.f64 y (/.f64 (*.f64 z z) x) #s(literal 1 binary64))) |
(* x (+ 1 (/ (* y (pow z 2)) x))) |
(*.f64 x (fma.f64 y (/.f64 (*.f64 z z) x) #s(literal 1 binary64))) |
(* x (+ 1 (/ (* y (pow z 2)) x))) |
(*.f64 x (fma.f64 y (/.f64 (*.f64 z z) x) #s(literal 1 binary64))) |
x |
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 y (*.f64 z z) #s(literal 0 binary64)) x)))) |
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 y (*.f64 z z) #s(literal 0 binary64)) x)))) |
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 y (*.f64 z z) #s(literal 0 binary64)) x)))) |
x |
(+ x (* y (pow z 2))) |
(fma.f64 y (*.f64 z z) x) |
(+ x (* y (pow z 2))) |
(fma.f64 y (*.f64 z z) x) |
(+ x (* y (pow z 2))) |
(fma.f64 y (*.f64 z z) x) |
(* y (pow z 2)) |
(fma.f64 y (*.f64 z z) #s(literal 0 binary64)) |
(* y (+ (/ x y) (pow z 2))) |
(*.f64 y (fma.f64 z z (/.f64 x y))) |
(* y (+ (/ x y) (pow z 2))) |
(*.f64 y (fma.f64 z z (/.f64 x y))) |
(* y (+ (/ x y) (pow z 2))) |
(*.f64 y (fma.f64 z z (/.f64 x y))) |
(* y (pow z 2)) |
(fma.f64 y (*.f64 z z) #s(literal 0 binary64)) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z z (/.f64 x y))) (-.f64 #s(literal 0 binary64) y)) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z z (/.f64 x y))) (-.f64 #s(literal 0 binary64) y)) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z z (/.f64 x y))) (-.f64 #s(literal 0 binary64) y)) |
x |
(+ x (* y (pow z 2))) |
(fma.f64 y (*.f64 z z) x) |
(+ x (* y (pow z 2))) |
(fma.f64 y (*.f64 z z) x) |
(+ x (* y (pow z 2))) |
(fma.f64 y (*.f64 z z) x) |
(* y (pow z 2)) |
(fma.f64 y (*.f64 z z) #s(literal 0 binary64)) |
(* (pow z 2) (+ y (/ x (pow z 2)))) |
(*.f64 (*.f64 z z) (+.f64 y (/.f64 x (*.f64 z z)))) |
(* (pow z 2) (+ y (/ x (pow z 2)))) |
(*.f64 (*.f64 z z) (+.f64 y (/.f64 x (*.f64 z z)))) |
(* (pow z 2) (+ y (/ x (pow z 2)))) |
(*.f64 (*.f64 z z) (+.f64 y (/.f64 x (*.f64 z z)))) |
(* y (pow z 2)) |
(fma.f64 y (*.f64 z z) #s(literal 0 binary64)) |
(* (pow z 2) (+ y (/ x (pow z 2)))) |
(*.f64 (*.f64 z z) (+.f64 y (/.f64 x (*.f64 z z)))) |
(* (pow z 2) (+ y (/ x (pow z 2)))) |
(*.f64 (*.f64 z z) (+.f64 y (/.f64 x (*.f64 z z)))) |
(* (pow z 2) (+ y (/ x (pow z 2)))) |
(*.f64 (*.f64 z z) (+.f64 y (/.f64 x (*.f64 z z)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ (* y (pow z 2)) x)) |
(fma.f64 y (/.f64 (*.f64 z z) x) #s(literal 1 binary64)) |
(+ 1 (/ (* y (pow z 2)) x)) |
(fma.f64 y (/.f64 (*.f64 z z) x) #s(literal 1 binary64)) |
(+ 1 (/ (* y (pow z 2)) x)) |
(fma.f64 y (/.f64 (*.f64 z z) x) #s(literal 1 binary64)) |
(/ (* y (pow z 2)) x) |
(/.f64 (fma.f64 y (*.f64 z z) #s(literal 0 binary64)) x) |
(* y (+ (/ 1 y) (/ (pow z 2) x))) |
(fma.f64 y (/.f64 (*.f64 z z) x) #s(literal 1 binary64)) |
(* y (+ (/ 1 y) (/ (pow z 2) x))) |
(fma.f64 y (/.f64 (*.f64 z z) x) #s(literal 1 binary64)) |
(* y (+ (/ 1 y) (/ (pow z 2) x))) |
(fma.f64 y (/.f64 (*.f64 z z) x) #s(literal 1 binary64)) |
(/ (* y (pow z 2)) x) |
(/.f64 (fma.f64 y (*.f64 z z) #s(literal 0 binary64)) x) |
(* -1 (* y (- (* -1 (/ (pow z 2) x)) (/ 1 y)))) |
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 z z) x)) (-.f64 #s(literal 0 binary64) y)) |
(* -1 (* y (- (* -1 (/ (pow z 2) x)) (/ 1 y)))) |
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 z z) x)) (-.f64 #s(literal 0 binary64) y)) |
(* -1 (* y (- (* -1 (/ (pow z 2) x)) (/ 1 y)))) |
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 z z) x)) (-.f64 #s(literal 0 binary64) y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ (* y (pow z 2)) x)) |
(fma.f64 y (/.f64 (*.f64 z z) x) #s(literal 1 binary64)) |
(+ 1 (/ (* y (pow z 2)) x)) |
(fma.f64 y (/.f64 (*.f64 z z) x) #s(literal 1 binary64)) |
(+ 1 (/ (* y (pow z 2)) x)) |
(fma.f64 y (/.f64 (*.f64 z z) x) #s(literal 1 binary64)) |
(/ (* y (pow z 2)) x) |
(/.f64 (fma.f64 y (*.f64 z z) #s(literal 0 binary64)) x) |
(* (pow z 2) (+ (/ 1 (pow z 2)) (/ y x))) |
(fma.f64 y (/.f64 (*.f64 z z) x) #s(literal 1 binary64)) |
(* (pow z 2) (+ (/ 1 (pow z 2)) (/ y x))) |
(fma.f64 y (/.f64 (*.f64 z z) x) #s(literal 1 binary64)) |
(* (pow z 2) (+ (/ 1 (pow z 2)) (/ y x))) |
(fma.f64 y (/.f64 (*.f64 z z) x) #s(literal 1 binary64)) |
(/ (* y (pow z 2)) x) |
(/.f64 (fma.f64 y (*.f64 z z) #s(literal 0 binary64)) x) |
(* (pow z 2) (+ (/ 1 (pow z 2)) (/ y x))) |
(fma.f64 y (/.f64 (*.f64 z z) x) #s(literal 1 binary64)) |
(* (pow z 2) (+ (/ 1 (pow z 2)) (/ y x))) |
(fma.f64 y (/.f64 (*.f64 z z) x) #s(literal 1 binary64)) |
(* (pow z 2) (+ (/ 1 (pow z 2)) (/ y x))) |
(fma.f64 y (/.f64 (*.f64 z z) x) #s(literal 1 binary64)) |
(/ (* y (pow z 2)) x) |
(/.f64 (fma.f64 y (*.f64 z z) #s(literal 0 binary64)) x) |
(/ (+ x (* y (pow z 2))) x) |
(/.f64 (fma.f64 y (*.f64 z z) x) x) |
(/ (+ x (* y (pow z 2))) x) |
(/.f64 (fma.f64 y (*.f64 z z) x) x) |
(/ (+ x (* y (pow z 2))) x) |
(/.f64 (fma.f64 y (*.f64 z z) x) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ (* y (pow z 2)) x)) |
(fma.f64 y (/.f64 (*.f64 z z) x) #s(literal 1 binary64)) |
(+ 1 (/ (* y (pow z 2)) x)) |
(fma.f64 y (/.f64 (*.f64 z z) x) #s(literal 1 binary64)) |
(+ 1 (/ (* y (pow z 2)) x)) |
(fma.f64 y (/.f64 (*.f64 z z) x) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ (* y (pow z 2)) x)) |
(fma.f64 y (/.f64 (*.f64 z z) x) #s(literal 1 binary64)) |
(+ 1 (/ (* y (pow z 2)) x)) |
(fma.f64 y (/.f64 (*.f64 z z) x) #s(literal 1 binary64)) |
(+ 1 (/ (* y (pow z 2)) x)) |
(fma.f64 y (/.f64 (*.f64 z z) x) #s(literal 1 binary64)) |
(/ (pow z 2) x) |
(/.f64 (*.f64 z z) x) |
(/ (pow z 2) x) |
(/.f64 (*.f64 z z) x) |
(/ (pow z 2) x) |
(/.f64 (*.f64 z z) x) |
(/ (pow z 2) x) |
(/.f64 (*.f64 z z) x) |
(/ (pow z 2) x) |
(/.f64 (*.f64 z z) x) |
(/ (pow z 2) x) |
(/.f64 (*.f64 z z) x) |
(/ (pow z 2) x) |
(/.f64 (*.f64 z z) x) |
(/ (pow z 2) x) |
(/.f64 (*.f64 z z) x) |
(/ (pow z 2) x) |
(/.f64 (*.f64 z z) x) |
(/ (pow z 2) x) |
(/.f64 (*.f64 z z) x) |
(/ (pow z 2) x) |
(/.f64 (*.f64 z z) x) |
(/ (pow z 2) x) |
(/.f64 (*.f64 z z) x) |
(/ (pow z 2) x) |
(/.f64 (*.f64 z z) x) |
(/ (pow z 2) x) |
(/.f64 (*.f64 z z) x) |
(/ (pow z 2) x) |
(/.f64 (*.f64 z z) x) |
(/ (pow z 2) x) |
(/.f64 (*.f64 z z) x) |
(/ (pow z 2) x) |
(/.f64 (*.f64 z z) x) |
(/ (pow z 2) x) |
(/.f64 (*.f64 z z) x) |
(/ (pow z 2) x) |
(/.f64 (*.f64 z z) x) |
(/ (pow z 2) x) |
(/.f64 (*.f64 z z) x) |
(/ (pow z 2) x) |
(/.f64 (*.f64 z z) x) |
(/ (pow z 2) x) |
(/.f64 (*.f64 z z) x) |
(/ (pow z 2) x) |
(/.f64 (*.f64 z z) x) |
(/ (pow z 2) x) |
(/.f64 (*.f64 z z) x) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(* y (pow z 2)) |
(fma.f64 y (*.f64 z z) #s(literal 0 binary64)) |
(* y (pow z 2)) |
(fma.f64 y (*.f64 z z) #s(literal 0 binary64)) |
(* y (pow z 2)) |
(fma.f64 y (*.f64 z z) #s(literal 0 binary64)) |
(* y (pow z 2)) |
(fma.f64 y (*.f64 z z) #s(literal 0 binary64)) |
(* y (pow z 2)) |
(fma.f64 y (*.f64 z z) #s(literal 0 binary64)) |
(* y (pow z 2)) |
(fma.f64 y (*.f64 z z) #s(literal 0 binary64)) |
(* y (pow z 2)) |
(fma.f64 y (*.f64 z z) #s(literal 0 binary64)) |
(* y (pow z 2)) |
(fma.f64 y (*.f64 z z) #s(literal 0 binary64)) |
(* y (pow z 2)) |
(fma.f64 y (*.f64 z z) #s(literal 0 binary64)) |
(* y (pow z 2)) |
(fma.f64 y (*.f64 z z) #s(literal 0 binary64)) |
(* y (pow z 2)) |
(fma.f64 y (*.f64 z z) #s(literal 0 binary64)) |
(* y (pow z 2)) |
(fma.f64 y (*.f64 z z) #s(literal 0 binary64)) |
(* y (pow z 2)) |
(fma.f64 y (*.f64 z z) #s(literal 0 binary64)) |
(* y (pow z 2)) |
(fma.f64 y (*.f64 z z) #s(literal 0 binary64)) |
(* y (pow z 2)) |
(fma.f64 y (*.f64 z z) #s(literal 0 binary64)) |
(* y (pow z 2)) |
(fma.f64 y (*.f64 z z) #s(literal 0 binary64)) |
(* y (pow z 2)) |
(fma.f64 y (*.f64 z z) #s(literal 0 binary64)) |
(* y (pow z 2)) |
(fma.f64 y (*.f64 z z) #s(literal 0 binary64)) |
(* y (pow z 2)) |
(fma.f64 y (*.f64 z z) #s(literal 0 binary64)) |
(* y (pow z 2)) |
(fma.f64 y (*.f64 z z) #s(literal 0 binary64)) |
(* y (pow z 2)) |
(fma.f64 y (*.f64 z z) #s(literal 0 binary64)) |
(* y (pow z 2)) |
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(fma.f64 (*.f64 z z) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z z) (/.f64 (*.f64 y y) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (/.f64 y (fma.f64 x x #s(literal 0 binary64))))) (/.f64 #s(literal -1 binary64) x)) |
(- (* (pow z 2) (- (* (pow z 2) (- (* -1 (/ (* (pow y 3) (pow z 2)) (pow x 4))) (/ (pow y 2) (pow x 3)))) (/ y (pow x 2)))) (/ 1 x)) |
(fma.f64 (*.f64 z z) (fma.f64 (*.f64 z z) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 y y) (*.f64 y (*.f64 z (/.f64 z (pow.f64 x #s(literal 4 binary64))))) (/.f64 (*.f64 y y) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))))) (-.f64 #s(literal 0 binary64) (/.f64 y (fma.f64 x x #s(literal 0 binary64))))) (/.f64 #s(literal -1 binary64) x)) |
(/ 1 (* y (pow z 2))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) #s(literal 0 binary64))) |
(/ (+ (/ 1 y) (/ x (* (pow y 2) (pow z 2)))) (pow z 2)) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y (fma.f64 y (*.f64 z z) #s(literal 0 binary64))))) (*.f64 z z)) |
(/ (- (+ (/ 1 y) (/ (pow x 2) (* (pow y 3) (pow z 4)))) (* -1 (/ x (* (pow y 2) (pow z 2))))) (pow z 2)) |
(/.f64 (+.f64 (/.f64 x (*.f64 y (fma.f64 y (*.f64 z z) #s(literal 0 binary64)))) (fma.f64 x (/.f64 x (*.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) y))) (*.f64 z z)) |
(/ (- (+ (/ 1 y) (/ (pow x 3) (* (pow y 4) (pow z 6)))) (+ (* -1 (/ x (* (pow y 2) (pow z 2)))) (* -1 (/ (pow x 2) (* (pow y 3) (pow z 4)))))) (pow z 2)) |
(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (*.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 y (*.f64 y y)))) (/.f64 x (*.f64 y (fma.f64 y (*.f64 z z) #s(literal 0 binary64))))) (fma.f64 x (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) y))) (*.f64 z z)) |
(/ 1 (* y (pow z 2))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) #s(literal 0 binary64))) |
(/ (+ (/ 1 y) (/ x (* (pow y 2) (pow z 2)))) (pow z 2)) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y (fma.f64 y (*.f64 z z) #s(literal 0 binary64))))) (*.f64 z z)) |
(/ (- (+ (/ 1 y) (/ (pow x 2) (* (pow y 3) (pow z 4)))) (* -1 (/ x (* (pow y 2) (pow z 2))))) (pow z 2)) |
(/.f64 (+.f64 (/.f64 x (*.f64 y (fma.f64 y (*.f64 z z) #s(literal 0 binary64)))) (fma.f64 x (/.f64 x (*.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) y))) (*.f64 z z)) |
(/ (- (+ (/ 1 y) (/ (pow x 3) (* (pow y 4) (pow z 6)))) (+ (* -1 (/ x (* (pow y 2) (pow z 2)))) (* -1 (/ (pow x 2) (* (pow y 3) (pow z 4)))))) (pow z 2)) |
(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (*.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 y (*.f64 y y)))) (/.f64 x (*.f64 y (fma.f64 y (*.f64 z z) #s(literal 0 binary64))))) (fma.f64 x (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) y))) (*.f64 z z)) |
(/ 1 (* y (pow z 2))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) #s(literal 0 binary64))) |
(+ (/ 1 (* y (pow z 2))) (/ x (* (pow y 2) (pow z 4)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) #s(literal 0 binary64))) (/.f64 x (*.f64 y (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) |
(+ (* x (+ (/ 1 (* (pow y 2) (pow z 4))) (/ x (* (pow y 3) (pow z 6))))) (/ 1 (* y (pow z 2)))) |
(fma.f64 x (+.f64 (/.f64 x (*.f64 (*.f64 y y) (*.f64 y (pow.f64 z #s(literal 6 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) #s(literal 0 binary64)))) |
(+ (* x (+ (* x (+ (/ 1 (* (pow y 3) (pow z 6))) (/ x (* (pow y 4) (pow z 8))))) (/ 1 (* (pow y 2) (pow z 4))))) (/ 1 (* y (pow z 2)))) |
(fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y (pow.f64 z #s(literal 6 binary64))))) (/.f64 x (*.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 y #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) #s(literal 0 binary64)))) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ (- (* -1 (/ (* y (pow z 2)) x)) 1) x) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 y (*.f64 z z) #s(literal 0 binary64)) x)) x) |
(/ (- (* -1 (/ (* (pow y 2) (pow z 4)) (pow x 2))) (+ 1 (/ (* y (pow z 2)) x))) x) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 z z) (*.f64 (*.f64 y y) (/.f64 (pow.f64 z #s(literal 4 binary64)) x)))) x)) x) |
(/ (- (* -1 (/ (* (pow y 3) (pow z 6)) (pow x 3))) (+ 1 (+ (/ (* y (pow z 2)) x) (/ (* (pow y 2) (pow z 4)) (pow x 2))))) x) |
(/.f64 (+.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 z z) (*.f64 (*.f64 y y) (/.f64 (pow.f64 z #s(literal 4 binary64)) x)))) x)) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(* -1 (/ (+ 1 (/ (* y (pow z 2)) x)) x)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 y (*.f64 z z) #s(literal 0 binary64)) x)) x) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (* (pow y 2) (pow z 4)) x)) (* y (pow z 2))) x))) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 z z) (*.f64 (*.f64 y y) (/.f64 (pow.f64 z #s(literal 4 binary64)) x)))) x)) (-.f64 #s(literal 0 binary64) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (pow z 6)) x) (* -1 (* (pow y 2) (pow z 4)))) x)) (* y (pow z 2))) x))) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 z z) #s(literal 0 binary64))) (/.f64 (fma.f64 y (*.f64 y (pow.f64 z #s(literal 4 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (/.f64 (pow.f64 z #s(literal 6 binary64)) x))) x)) x)) (-.f64 #s(literal 0 binary64) x)) |
x |
(+ x (* -1 (* y (pow z 2)))) |
(-.f64 x (fma.f64 y (*.f64 z z) #s(literal 0 binary64))) |
(+ x (* -1 (* y (pow z 2)))) |
(-.f64 x (fma.f64 y (*.f64 z z) #s(literal 0 binary64))) |
(+ x (* -1 (* y (pow z 2)))) |
(-.f64 x (fma.f64 y (*.f64 z z) #s(literal 0 binary64))) |
(* -1 (* y (pow z 2))) |
(-.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 z z) #s(literal 0 binary64))) |
(* y (+ (* -1 (pow z 2)) (/ x y))) |
(*.f64 y (-.f64 (/.f64 x y) (*.f64 z z))) |
(* y (+ (* -1 (pow z 2)) (/ x y))) |
(*.f64 y (-.f64 (/.f64 x y) (*.f64 z z))) |
(* y (+ (* -1 (pow z 2)) (/ x y))) |
(*.f64 y (-.f64 (/.f64 x y) (*.f64 z z))) |
(* -1 (* y (pow z 2))) |
(-.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 z z) #s(literal 0 binary64))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow z 2)))) |
(-.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 z z (-.f64 #s(literal 0 binary64) (/.f64 x y))))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow z 2)))) |
(-.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 z z (-.f64 #s(literal 0 binary64) (/.f64 x y))))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow z 2)))) |
(-.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 z z (-.f64 #s(literal 0 binary64) (/.f64 x y))))) |
x |
(+ x (* -1 (* y (pow z 2)))) |
(-.f64 x (fma.f64 y (*.f64 z z) #s(literal 0 binary64))) |
(+ x (* -1 (* y (pow z 2)))) |
(-.f64 x (fma.f64 y (*.f64 z z) #s(literal 0 binary64))) |
(+ x (* -1 (* y (pow z 2)))) |
(-.f64 x (fma.f64 y (*.f64 z z) #s(literal 0 binary64))) |
(* -1 (* y (pow z 2))) |
(-.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 z z) #s(literal 0 binary64))) |
(* (pow z 2) (+ (* -1 y) (/ x (pow z 2)))) |
(*.f64 (*.f64 z z) (-.f64 (/.f64 x (*.f64 z z)) y)) |
(* (pow z 2) (+ (* -1 y) (/ x (pow z 2)))) |
(*.f64 (*.f64 z z) (-.f64 (/.f64 x (*.f64 z z)) y)) |
(* (pow z 2) (+ (* -1 y) (/ x (pow z 2)))) |
(*.f64 (*.f64 z z) (-.f64 (/.f64 x (*.f64 z z)) y)) |
(* -1 (* y (pow z 2))) |
(-.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 z z) #s(literal 0 binary64))) |
(* (pow z 2) (+ (* -1 y) (/ x (pow z 2)))) |
(*.f64 (*.f64 z z) (-.f64 (/.f64 x (*.f64 z z)) y)) |
(* (pow z 2) (+ (* -1 y) (/ x (pow z 2)))) |
(*.f64 (*.f64 z z) (-.f64 (/.f64 x (*.f64 z z)) y)) |
(* (pow z 2) (+ (* -1 y) (/ x (pow z 2)))) |
(*.f64 (*.f64 z z) (-.f64 (/.f64 x (*.f64 z z)) y)) |
(* -1 (* y (pow z 2))) |
(-.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 z z) #s(literal 0 binary64))) |
(+ x (* -1 (* y (pow z 2)))) |
(-.f64 x (fma.f64 y (*.f64 z z) #s(literal 0 binary64))) |
(+ x (* -1 (* y (pow z 2)))) |
(-.f64 x (fma.f64 y (*.f64 z z) #s(literal 0 binary64))) |
(+ x (* -1 (* y (pow z 2)))) |
(-.f64 x (fma.f64 y (*.f64 z z) #s(literal 0 binary64))) |
x |
(* x (+ 1 (* -1 (/ (* y (pow z 2)) x)))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 z z) #s(literal 0 binary64)) x))) |
(* x (+ 1 (* -1 (/ (* y (pow z 2)) x)))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 z z) #s(literal 0 binary64)) x))) |
(* x (+ 1 (* -1 (/ (* y (pow z 2)) x)))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 z z) #s(literal 0 binary64)) x))) |
x |
(* -1 (* x (- (/ (* y (pow z 2)) x) 1))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 z z) #s(literal 0 binary64)) x))) |
(* -1 (* x (- (/ (* y (pow z 2)) x) 1))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 z z) #s(literal 0 binary64)) x))) |
(* -1 (* x (- (/ (* y (pow z 2)) x) 1))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 z z) #s(literal 0 binary64)) x))) |
Compiled 217 790 to 9 611 computations (95.6% saved)
11 alts after pruning (8 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 4 573 | 7 | 4 580 |
| Fresh | 2 | 1 | 3 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 2 | 2 |
| Total | 4 579 | 11 | 4 590 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 (*.f64 y z) z x) |
| ▶ | 17.3% | (/.f64 (*.f64 (fma.f64 z (*.f64 z (fma.f64 z z #s(literal 0 binary64))) #s(literal 0 binary64)) y) (fma.f64 z z #s(literal 0 binary64))) |
| ▶ | 46.3% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) z)) |
| 46.3% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) z)) | |
| 46.3% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 #s(literal 1 binary64) z))) | |
| ▶ | 46.3% | (*.f64 (*.f64 y z) z) |
| 77.6% | (*.f64 y (fma.f64 z z (/.f64 x y))) | |
| ✓ | 41.6% | (*.f64 y (*.f64 z z)) |
| ▶ | 95.4% | (*.f64 x (fma.f64 (*.f64 y z) (/.f64 z x) #s(literal 1 binary64))) |
| ▶ | 92.1% | (*.f64 x (fma.f64 y (*.f64 (/.f64 z x) z) #s(literal 1 binary64))) |
| ✓ | 55.4% | x |
Compiled 225 to 135 computations (40% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) y) |
| ✓ | cost-diff | 320 | (/.f64 (/.f64 #s(literal 1 binary64) y) z) |
| ✓ | cost-diff | 320 | (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) z) |
| ✓ | cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) z)) |
| ✓ | cost-diff | -64 | (*.f64 (fma.f64 z (*.f64 z (fma.f64 z z #s(literal 0 binary64))) #s(literal 0 binary64)) y) |
| ✓ | cost-diff | 0 | (fma.f64 z z #s(literal 0 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 z (*.f64 z (fma.f64 z z #s(literal 0 binary64))) #s(literal 0 binary64)) |
| ✓ | cost-diff | 1856 | (/.f64 (*.f64 (fma.f64 z (*.f64 z (fma.f64 z z #s(literal 0 binary64))) #s(literal 0 binary64)) y) (fma.f64 z z #s(literal 0 binary64))) |
| ✓ | cost-diff | -64 | (*.f64 (/.f64 z x) z) |
| ✓ | cost-diff | 0 | (/.f64 z x) |
| ✓ | cost-diff | 0 | (fma.f64 y (*.f64 (/.f64 z x) z) #s(literal 1 binary64)) |
| ✓ | cost-diff | 1024 | (*.f64 x (fma.f64 y (*.f64 (/.f64 z x) z) #s(literal 1 binary64))) |
| ✓ | cost-diff | -64 | (*.f64 y z) |
| ✓ | cost-diff | -64 | (*.f64 (*.f64 y z) z) |
| ✓ | cost-diff | -64 | (*.f64 y z) |
| ✓ | cost-diff | 0 | (/.f64 z x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 y z) (/.f64 z x) #s(literal 1 binary64)) |
| ✓ | cost-diff | 1024 | (*.f64 x (fma.f64 (*.f64 y z) (/.f64 z x) #s(literal 1 binary64))) |
| 30 352× | accelerator-lowering-fma.f32 |
| 30 352× | accelerator-lowering-fma.f64 |
| 6 568× | *-lowering-*.f32 |
| 6 568× | *-lowering-*.f64 |
| 3 152× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 127 |
| 1 | 73 | 121 |
| 2 | 164 | 117 |
| 3 | 489 | 109 |
| 4 | 1194 | 109 |
| 5 | 2706 | 109 |
| 6 | 3370 | 109 |
| 7 | 4164 | 109 |
| 8 | 5460 | 109 |
| 9 | 6141 | 109 |
| 10 | 6564 | 109 |
| 0 | 8256 | 105 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (+ (* (* y z) (/ z x)) 1)) |
x |
(+ (* (* y z) (/ z x)) 1) |
(* y z) |
y |
z |
(/ z x) |
1 |
(* (* y z) z) |
(* y z) |
y |
z |
(* x (+ (* y (* (/ z x) z)) 1)) |
x |
(+ (* y (* (/ z x) z)) 1) |
y |
(* (/ z x) z) |
(/ z x) |
z |
1 |
(/ (* (+ (* z (* z (+ (* z z) 0))) 0) y) (+ (* z z) 0)) |
(* (+ (* z (* z (+ (* z z) 0))) 0) y) |
(+ (* z (* z (+ (* z z) 0))) 0) |
z |
(* z (+ (* z z) 0)) |
(+ (* z z) 0) |
0 |
y |
(/ 1 (/ (/ (/ 1 y) z) z)) |
1 |
(/ (/ (/ 1 y) z) z) |
(/ (/ 1 y) z) |
(/ 1 y) |
y |
z |
| Outputs |
|---|
(* x (+ (* (* y z) (/ z x)) 1)) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x) |
x |
(+ (* (* y z) (/ z x)) 1) |
(fma.f64 z (/.f64 (fma.f64 y z #s(literal 0 binary64)) x) #s(literal 1 binary64)) |
(* y z) |
(fma.f64 y z #s(literal 0 binary64)) |
y |
z |
(/ z x) |
(/.f64 z x) |
1 |
#s(literal 1 binary64) |
(* (* y z) z) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* y z) |
(fma.f64 y z #s(literal 0 binary64)) |
y |
z |
(* x (+ (* y (* (/ z x) z)) 1)) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x) |
x |
(+ (* y (* (/ z x) z)) 1) |
(fma.f64 z (/.f64 (fma.f64 y z #s(literal 0 binary64)) x) #s(literal 1 binary64)) |
y |
(* (/ z x) z) |
(fma.f64 z (/.f64 z x) #s(literal 0 binary64)) |
(/ z x) |
(/.f64 z x) |
z |
1 |
#s(literal 1 binary64) |
(/ (* (+ (* z (* z (+ (* z z) 0))) 0) y) (+ (* z z) 0)) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* (+ (* z (* z (+ (* z z) 0))) 0) y) |
(fma.f64 (fma.f64 y z #s(literal 0 binary64)) (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(+ (* z (* z (+ (* z z) 0))) 0) |
(fma.f64 z (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
z |
(* z (+ (* z z) 0)) |
(fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) |
(+ (* z z) 0) |
(fma.f64 z z #s(literal 0 binary64)) |
0 |
#s(literal 0 binary64) |
y |
(/ 1 (/ (/ (/ 1 y) z) z)) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) |
1 |
#s(literal 1 binary64) |
(/ (/ (/ 1 y) z) z) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))) |
(/ (/ 1 y) z) |
(/.f64 #s(literal 1 binary64) (fma.f64 y z #s(literal 0 binary64))) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
y |
z |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) y) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) z)) |
| ✓ | accuracy | 99.8% | (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) z) |
| ✓ | accuracy | 99.7% | (/.f64 (/.f64 #s(literal 1 binary64) y) z) |
| ✓ | accuracy | 99.9% | (fma.f64 z (*.f64 z (fma.f64 z z #s(literal 0 binary64))) #s(literal 0 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 z (fma.f64 z z #s(literal 0 binary64))) |
| ✓ | accuracy | 94.1% | (*.f64 (fma.f64 z (*.f64 z (fma.f64 z z #s(literal 0 binary64))) #s(literal 0 binary64)) y) |
| ✓ | accuracy | 44.0% | (/.f64 (*.f64 (fma.f64 z (*.f64 z (fma.f64 z z #s(literal 0 binary64))) #s(literal 0 binary64)) y) (fma.f64 z z #s(literal 0 binary64))) |
| ✓ | accuracy | 100.0% | (/.f64 z x) |
| ✓ | accuracy | 99.8% | (*.f64 (/.f64 z x) z) |
| ✓ | accuracy | 96.2% | (*.f64 x (fma.f64 y (*.f64 (/.f64 z x) z) #s(literal 1 binary64))) |
| ✓ | accuracy | 95.2% | (fma.f64 y (*.f64 (/.f64 z x) z) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 y z) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 y z) z) |
| ✓ | accuracy | 100.0% | (/.f64 z x) |
| ✓ | accuracy | 100.0% | (*.f64 y z) |
| ✓ | accuracy | 98.5% | (fma.f64 (*.f64 y z) (/.f64 z x) #s(literal 1 binary64)) |
| ✓ | accuracy | 96.2% | (*.f64 x (fma.f64 (*.f64 y z) (/.f64 z x) #s(literal 1 binary64))) |
| 57.0ms | 256× | 0 | valid |
Compiled 146 to 28 computations (80.8% saved)
ival-mult: 25.0ms (63.1% of total)ival-div: 10.0ms (25.2% of total)ival-add: 4.0ms (10.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* x (+ (* (* y z) (/ z x)) 1))> |
#<alt (+ (* (* y z) (/ z x)) 1)> |
#<alt (/ z x)> |
#<alt (* y z)> |
#<alt (* (* y z) z)> |
#<alt (* x (+ (* y (* (/ z x) z)) 1))> |
#<alt (+ (* y (* (/ z x) z)) 1)> |
#<alt (* (/ z x) z)> |
#<alt (/ (* (+ (* z (* z (+ (* z z) 0))) 0) y) (+ (* z z) 0))> |
#<alt (+ (* z (* z (+ (* z z) 0))) 0)> |
#<alt (+ (* z z) 0)> |
#<alt (* (+ (* z (* z (+ (* z z) 0))) 0) y)> |
#<alt (/ 1 (/ (/ (/ 1 y) z) z))> |
#<alt (/ (/ (/ 1 y) z) z)> |
#<alt (/ (/ 1 y) z)> |
#<alt (/ 1 y)> |
#<alt (* z (+ (* z z) 0))> |
| Outputs |
|---|
#<alt (* y (pow z 2))> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (+ x (* y (pow z 2)))> |
#<alt x> |
#<alt (* x (+ 1 (/ (* y (pow z 2)) x)))> |
#<alt (* x (+ 1 (/ (* y (pow z 2)) x)))> |
#<alt (* x (+ 1 (/ (* y (pow z 2)) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))> |
#<alt x> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (* y (pow z 2))> |
#<alt (* y (+ (/ x y) (pow z 2)))> |
#<alt (* y (+ (/ x y) (pow z 2)))> |
#<alt (* y (+ (/ x y) (pow z 2)))> |
#<alt (* y (pow z 2))> |
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))> |
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))> |
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))> |
#<alt x> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (* y (pow z 2))> |
#<alt (* (pow z 2) (+ y (/ x (pow z 2))))> |
#<alt (* (pow z 2) (+ y (/ x (pow z 2))))> |
#<alt (* (pow z 2) (+ y (/ x (pow z 2))))> |
#<alt (* y (pow z 2))> |
#<alt (* (pow z 2) (+ y (/ x (pow z 2))))> |
#<alt (* (pow z 2) (+ y (/ x (pow z 2))))> |
#<alt (* (pow z 2) (+ y (/ x (pow z 2))))> |
#<alt 1> |
#<alt (+ 1 (/ (* y (pow z 2)) x))> |
#<alt (+ 1 (/ (* y (pow z 2)) x))> |
#<alt (+ 1 (/ (* y (pow z 2)) x))> |
#<alt (/ (* y (pow z 2)) x)> |
#<alt (* y (+ (/ 1 y) (/ (pow z 2) x)))> |
#<alt (* y (+ (/ 1 y) (/ (pow z 2) x)))> |
#<alt (* y (+ (/ 1 y) (/ (pow z 2) x)))> |
#<alt (/ (* y (pow z 2)) x)> |
#<alt (* -1 (* y (- (* -1 (/ (pow z 2) x)) (/ 1 y))))> |
#<alt (* -1 (* y (- (* -1 (/ (pow z 2) x)) (/ 1 y))))> |
#<alt (* -1 (* y (- (* -1 (/ (pow z 2) x)) (/ 1 y))))> |
#<alt 1> |
#<alt (+ 1 (/ (* y (pow z 2)) x))> |
#<alt (+ 1 (/ (* y (pow z 2)) x))> |
#<alt (+ 1 (/ (* y (pow z 2)) x))> |
#<alt (/ (* y (pow z 2)) x)> |
#<alt (* (pow z 2) (+ (/ 1 (pow z 2)) (/ y x)))> |
#<alt (* (pow z 2) (+ (/ 1 (pow z 2)) (/ y x)))> |
#<alt (* (pow z 2) (+ (/ 1 (pow z 2)) (/ y x)))> |
#<alt (/ (* y (pow z 2)) x)> |
#<alt (* (pow z 2) (+ (/ 1 (pow z 2)) (/ y x)))> |
#<alt (* (pow z 2) (+ (/ 1 (pow z 2)) (/ y x)))> |
#<alt (* (pow z 2) (+ (/ 1 (pow z 2)) (/ y x)))> |
#<alt (/ (* y (pow z 2)) x)> |
#<alt (/ (+ x (* y (pow z 2))) x)> |
#<alt (/ (+ x (* y (pow z 2))) x)> |
#<alt (/ (+ x (* y (pow z 2))) x)> |
#<alt 1> |
#<alt (+ 1 (/ (* y (pow z 2)) x))> |
#<alt (+ 1 (/ (* y (pow z 2)) x))> |
#<alt (+ 1 (/ (* y (pow z 2)) x))> |
#<alt 1> |
#<alt (+ 1 (/ (* y (pow z 2)) x))> |
#<alt (+ 1 (/ (* y (pow z 2)) x))> |
#<alt (+ 1 (/ (* y (pow z 2)) x))> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (+ x (* y (pow z 2)))> |
#<alt x> |
#<alt (* x (+ 1 (/ (* y (pow z 2)) x)))> |
#<alt (* x (+ 1 (/ (* y (pow z 2)) x)))> |
#<alt (* x (+ 1 (/ (* y (pow z 2)) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))> |
#<alt x> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (* y (pow z 2))> |
#<alt (* y (+ (/ x y) (pow z 2)))> |
#<alt (* y (+ (/ x y) (pow z 2)))> |
#<alt (* y (+ (/ x y) (pow z 2)))> |
#<alt (* y (pow z 2))> |
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))> |
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))> |
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))> |
#<alt x> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (+ x (* y (pow z 2)))> |
#<alt (* y (pow z 2))> |
#<alt (* (pow z 2) (+ y (/ x (pow z 2))))> |
#<alt (* (pow z 2) (+ y (/ x (pow z 2))))> |
#<alt (* (pow z 2) (+ y (/ x (pow z 2))))> |
#<alt (* y (pow z 2))> |
#<alt (* (pow z 2) (+ y (/ x (pow z 2))))> |
#<alt (* (pow z 2) (+ y (/ x (pow z 2))))> |
#<alt (* (pow z 2) (+ y (/ x (pow z 2))))> |
#<alt 1> |
#<alt (+ 1 (/ (* y (pow z 2)) x))> |
#<alt (+ 1 (/ (* y (pow z 2)) x))> |
#<alt (+ 1 (/ (* y (pow z 2)) x))> |
#<alt (/ (* y (pow z 2)) x)> |
#<alt (* y (+ (/ 1 y) (/ (pow z 2) x)))> |
#<alt (* y (+ (/ 1 y) (/ (pow z 2) x)))> |
#<alt (* y (+ (/ 1 y) (/ (pow z 2) x)))> |
#<alt (/ (* y (pow z 2)) x)> |
#<alt (* -1 (* y (- (* -1 (/ (pow z 2) x)) (/ 1 y))))> |
#<alt (* -1 (* y (- (* -1 (/ (pow z 2) x)) (/ 1 y))))> |
#<alt (* -1 (* y (- (* -1 (/ (pow z 2) x)) (/ 1 y))))> |
#<alt 1> |
#<alt (+ 1 (/ (* y (pow z 2)) x))> |
#<alt (+ 1 (/ (* y (pow z 2)) x))> |
#<alt (+ 1 (/ (* y (pow z 2)) x))> |
#<alt (/ (* y (pow z 2)) x)> |
#<alt (* (pow z 2) (+ (/ 1 (pow z 2)) (/ y x)))> |
#<alt (* (pow z 2) (+ (/ 1 (pow z 2)) (/ y x)))> |
#<alt (* (pow z 2) (+ (/ 1 (pow z 2)) (/ y x)))> |
#<alt (/ (* y (pow z 2)) x)> |
#<alt (* (pow z 2) (+ (/ 1 (pow z 2)) (/ y x)))> |
#<alt (* (pow z 2) (+ (/ 1 (pow z 2)) (/ y x)))> |
#<alt (* (pow z 2) (+ (/ 1 (pow z 2)) (/ y x)))> |
#<alt (/ (* y (pow z 2)) x)> |
#<alt (/ (+ x (* y (pow z 2))) x)> |
#<alt (/ (+ x (* y (pow z 2))) x)> |
#<alt (/ (+ x (* y (pow z 2))) x)> |
#<alt 1> |
#<alt (+ 1 (/ (* y (pow z 2)) x))> |
#<alt (+ 1 (/ (* y (pow z 2)) x))> |
#<alt (+ 1 (/ (* y (pow z 2)) x))> |
#<alt 1> |
#<alt (+ 1 (/ (* y (pow z 2)) x))> |
#<alt (+ 1 (/ (* y (pow z 2)) x))> |
#<alt (+ 1 (/ (* y (pow z 2)) x))> |
#<alt (/ (pow z 2) x)> |
#<alt (/ (pow z 2) x)> |
#<alt (/ (pow z 2) x)> |
#<alt (/ (pow z 2) x)> |
#<alt (/ (pow z 2) x)> |
#<alt (/ (pow z 2) x)> |
#<alt (/ (pow z 2) x)> |
#<alt (/ (pow z 2) x)> |
#<alt (/ (pow z 2) x)> |
#<alt (/ (pow z 2) x)> |
#<alt (/ (pow z 2) x)> |
#<alt (/ (pow z 2) x)> |
#<alt (/ (pow z 2) x)> |
#<alt (/ (pow z 2) x)> |
#<alt (/ (pow z 2) x)> |
#<alt (/ (pow z 2) x)> |
#<alt (/ (pow z 2) x)> |
#<alt (/ (pow z 2) x)> |
#<alt (/ (pow z 2) x)> |
#<alt (/ (pow z 2) x)> |
#<alt (/ (pow z 2) x)> |
#<alt (/ (pow z 2) x)> |
#<alt (/ (pow z 2) x)> |
#<alt (/ (pow z 2) x)> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (pow z 4)> |
#<alt (pow z 4)> |
#<alt (pow z 4)> |
#<alt (pow z 4)> |
#<alt (pow z 4)> |
#<alt (pow z 4)> |
#<alt (pow z 4)> |
#<alt (pow z 4)> |
#<alt (pow z 4)> |
#<alt (pow z 4)> |
#<alt (pow z 4)> |
#<alt (pow z 4)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (* y (pow z 4))> |
#<alt (* y (pow z 4))> |
#<alt (* y (pow z 4))> |
#<alt (* y (pow z 4))> |
#<alt (* y (pow z 4))> |
#<alt (* y (pow z 4))> |
#<alt (* y (pow z 4))> |
#<alt (* y (pow z 4))> |
#<alt (* y (pow z 4))> |
#<alt (* y (pow z 4))> |
#<alt (* y (pow z 4))> |
#<alt (* y (pow z 4))> |
#<alt (* y (pow z 4))> |
#<alt (* y (pow z 4))> |
#<alt (* y (pow z 4))> |
#<alt (* y (pow z 4))> |
#<alt (* y (pow z 4))> |
#<alt (* y (pow z 4))> |
#<alt (* y (pow z 4))> |
#<alt (* y (pow z 4))> |
#<alt (* y (pow z 4))> |
#<alt (* y (pow z 4))> |
#<alt (* y (pow z 4))> |
#<alt (* y (pow z 4))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (/ 1 (* y (pow z 2)))> |
#<alt (/ 1 (* y (pow z 2)))> |
#<alt (/ 1 (* y (pow z 2)))> |
#<alt (/ 1 (* y (pow z 2)))> |
#<alt (/ 1 (* y (pow z 2)))> |
#<alt (/ 1 (* y (pow z 2)))> |
#<alt (/ 1 (* y (pow z 2)))> |
#<alt (/ 1 (* y (pow z 2)))> |
#<alt (/ 1 (* y (pow z 2)))> |
#<alt (/ 1 (* y (pow z 2)))> |
#<alt (/ 1 (* y (pow z 2)))> |
#<alt (/ 1 (* y (pow z 2)))> |
#<alt (/ 1 (* y (pow z 2)))> |
#<alt (/ 1 (* y (pow z 2)))> |
#<alt (/ 1 (* y (pow z 2)))> |
#<alt (/ 1 (* y (pow z 2)))> |
#<alt (/ 1 (* y (pow z 2)))> |
#<alt (/ 1 (* y (pow z 2)))> |
#<alt (/ 1 (* y (pow z 2)))> |
#<alt (/ 1 (* y (pow z 2)))> |
#<alt (/ 1 (* y (pow z 2)))> |
#<alt (/ 1 (* y (pow z 2)))> |
#<alt (/ 1 (* y (pow z 2)))> |
#<alt (/ 1 (* y (pow z 2)))> |
#<alt (/ 1 (* y z))> |
#<alt (/ 1 (* y z))> |
#<alt (/ 1 (* y z))> |
#<alt (/ 1 (* y z))> |
#<alt (/ 1 (* y z))> |
#<alt (/ 1 (* y z))> |
#<alt (/ 1 (* y z))> |
#<alt (/ 1 (* y z))> |
#<alt (/ 1 (* y z))> |
#<alt (/ 1 (* y z))> |
#<alt (/ 1 (* y z))> |
#<alt (/ 1 (* y z))> |
#<alt (/ 1 (* y z))> |
#<alt (/ 1 (* y z))> |
#<alt (/ 1 (* y z))> |
#<alt (/ 1 (* y z))> |
#<alt (/ 1 (* y z))> |
#<alt (/ 1 (* y z))> |
#<alt (/ 1 (* y z))> |
#<alt (/ 1 (* y z))> |
#<alt (/ 1 (* y z))> |
#<alt (/ 1 (* y z))> |
#<alt (/ 1 (* y z))> |
#<alt (/ 1 (* 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 (pow z 3)> |
#<alt (pow z 3)> |
#<alt (pow z 3)> |
#<alt (pow z 3)> |
#<alt (pow z 3)> |
#<alt (pow z 3)> |
#<alt (pow z 3)> |
#<alt (pow z 3)> |
#<alt (pow z 3)> |
#<alt (pow z 3)> |
#<alt (pow z 3)> |
#<alt (pow z 3)> |
102 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (* (+ (* z (* z (+ (* z z) 0))) 0) y) |
| 0.0ms | z | @ | inf | (/ z x) |
| 0.0ms | z | @ | -inf | (/ z x) |
| 0.0ms | z | @ | -inf | (* z (+ (* z z) 0)) |
| 0.0ms | y | @ | 0 | (/ (/ 1 y) z) |
| 1× | batch-egg-rewrite |
| 12 382× | accelerator-lowering-fma.f32 |
| 12 382× | accelerator-lowering-fma.f64 |
| 6 414× | *-lowering-*.f32 |
| 6 414× | *-lowering-*.f64 |
| 3 332× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 105 |
| 1 | 167 | 95 |
| 2 | 1133 | 93 |
| 0 | 8737 | 89 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (+ (* (* y z) (/ z x)) 1)) |
(+ (* (* y z) (/ z x)) 1) |
(/ z x) |
(* y z) |
(* (* y z) z) |
(* x (+ (* y (* (/ z x) z)) 1)) |
(+ (* y (* (/ z x) z)) 1) |
(* (/ z x) z) |
(/ (* (+ (* z (* z (+ (* z z) 0))) 0) y) (+ (* z z) 0)) |
(+ (* z (* z (+ (* z z) 0))) 0) |
(+ (* z z) 0) |
(* (+ (* z (* z (+ (* z z) 0))) 0) y) |
(/ 1 (/ (/ (/ 1 y) z) z)) |
(/ (/ (/ 1 y) z) z) |
(/ (/ 1 y) z) |
(/ 1 y) |
(* z (+ (* z z) 0)) |
| Outputs |
|---|
(+.f64 x (/.f64 (*.f64 x (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))) x)) |
(+.f64 (/.f64 (*.f64 x (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))) x) x) |
(-.f64 (/.f64 (*.f64 (/.f64 (*.f64 y (fma.f64 y (fma.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 x x)) (*.f64 x x)) (*.f64 x (fma.f64 y (/.f64 (fma.f64 z z #s(literal 0 binary64)) x) #s(literal -1 binary64)))) (/.f64 (*.f64 x x) (*.f64 x (fma.f64 y (/.f64 (fma.f64 z z #s(literal 0 binary64)) x) #s(literal -1 binary64))))) |
(fma.f64 x #s(literal 1 binary64) (/.f64 (*.f64 x (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))) x)) |
(fma.f64 x (/.f64 (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) x) x) |
(fma.f64 y (*.f64 (/.f64 (fma.f64 z z #s(literal 0 binary64)) x) x) x) |
(fma.f64 y (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 z z #s(literal 0 binary64)) x) x)) x) |
(fma.f64 z (*.f64 y (*.f64 (/.f64 z x) x)) x) |
(fma.f64 z (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 z x))) x) |
(fma.f64 z (*.f64 (/.f64 z x) (*.f64 y x)) x) |
(fma.f64 z (*.f64 (/.f64 (*.f64 y z) x) x) x) |
(fma.f64 (*.f64 y z) (*.f64 (/.f64 z x) x) x) |
(fma.f64 (/.f64 z x) (*.f64 y (*.f64 z x)) x) |
(fma.f64 #s(literal 1 binary64) x (/.f64 (*.f64 x (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))) x)) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))) x) x) |
(fma.f64 (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 x x) x) |
(fma.f64 (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) x) x) |
(fma.f64 (/.f64 (fma.f64 z z #s(literal 0 binary64)) x) (*.f64 y x) x) |
(fma.f64 (/.f64 (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) x) x x) |
(fma.f64 (fma.f64 z z #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y x)) x) |
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| 1× | egg-herbie |
| 5 532× | accelerator-lowering-fma.f32 |
| 5 532× | accelerator-lowering-fma.f64 |
| 3 040× | *-lowering-*.f32 |
| 3 040× | *-lowering-*.f64 |
| 1 860× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 2176 |
| 1 | 137 | 2176 |
| 2 | 343 | 2176 |
| 3 | 960 | 2176 |
| 4 | 3297 | 2176 |
| 5 | 7126 | 2176 |
| 0 | 8019 | 2068 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* y (pow z 2)) |
(+ x (* y (pow z 2))) |
(+ x (* y (pow z 2))) |
(+ x (* y (pow z 2))) |
x |
(* x (+ 1 (/ (* y (pow z 2)) x))) |
(* x (+ 1 (/ (* y (pow z 2)) x))) |
(* x (+ 1 (/ (* y (pow z 2)) x))) |
x |
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) |
x |
(+ x (* y (pow z 2))) |
(+ x (* y (pow z 2))) |
(+ x (* y (pow z 2))) |
(* y (pow z 2)) |
(* y (+ (/ x y) (pow z 2))) |
(* y (+ (/ x y) (pow z 2))) |
(* y (+ (/ x y) (pow z 2))) |
(* y (pow z 2)) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2))))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2))))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2))))) |
x |
(+ x (* y (pow z 2))) |
(+ x (* y (pow z 2))) |
(+ x (* y (pow z 2))) |
(* y (pow z 2)) |
(* (pow z 2) (+ y (/ x (pow z 2)))) |
(* (pow z 2) (+ y (/ x (pow z 2)))) |
(* (pow z 2) (+ y (/ x (pow z 2)))) |
(* y (pow z 2)) |
(* (pow z 2) (+ y (/ x (pow z 2)))) |
(* (pow z 2) (+ y (/ x (pow z 2)))) |
(* (pow z 2) (+ y (/ x (pow z 2)))) |
1 |
(+ 1 (/ (* y (pow z 2)) x)) |
(+ 1 (/ (* y (pow z 2)) x)) |
(+ 1 (/ (* y (pow z 2)) x)) |
(/ (* y (pow z 2)) x) |
(* y (+ (/ 1 y) (/ (pow z 2) x))) |
(* y (+ (/ 1 y) (/ (pow z 2) x))) |
(* y (+ (/ 1 y) (/ (pow z 2) x))) |
(/ (* y (pow z 2)) x) |
(* -1 (* y (- (* -1 (/ (pow z 2) x)) (/ 1 y)))) |
(* -1 (* y (- (* -1 (/ (pow z 2) x)) (/ 1 y)))) |
(* -1 (* y (- (* -1 (/ (pow z 2) x)) (/ 1 y)))) |
1 |
(+ 1 (/ (* y (pow z 2)) x)) |
(+ 1 (/ (* y (pow z 2)) x)) |
(+ 1 (/ (* y (pow z 2)) x)) |
(/ (* y (pow z 2)) x) |
(* (pow z 2) (+ (/ 1 (pow z 2)) (/ y x))) |
(* (pow z 2) (+ (/ 1 (pow z 2)) (/ y x))) |
(* (pow z 2) (+ (/ 1 (pow z 2)) (/ y x))) |
(/ (* y (pow z 2)) x) |
(* (pow z 2) (+ (/ 1 (pow z 2)) (/ y x))) |
(* (pow z 2) (+ (/ 1 (pow z 2)) (/ y x))) |
(* (pow z 2) (+ (/ 1 (pow z 2)) (/ y x))) |
(/ (* y (pow z 2)) x) |
(/ (+ x (* y (pow z 2))) x) |
(/ (+ x (* y (pow z 2))) x) |
(/ (+ x (* y (pow z 2))) x) |
1 |
(+ 1 (/ (* y (pow z 2)) x)) |
(+ 1 (/ (* y (pow z 2)) x)) |
(+ 1 (/ (* y (pow z 2)) x)) |
1 |
(+ 1 (/ (* y (pow z 2)) x)) |
(+ 1 (/ (* y (pow z 2)) x)) |
(+ 1 (/ (* y (pow z 2)) 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) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(+ x (* y (pow z 2))) |
(+ x (* y (pow z 2))) |
(+ x (* y (pow z 2))) |
x |
(* x (+ 1 (/ (* y (pow z 2)) x))) |
(* x (+ 1 (/ (* y (pow z 2)) x))) |
(* x (+ 1 (/ (* y (pow z 2)) x))) |
x |
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) |
x |
(+ x (* y (pow z 2))) |
(+ x (* y (pow z 2))) |
(+ x (* y (pow z 2))) |
(* y (pow z 2)) |
(* y (+ (/ x y) (pow z 2))) |
(* y (+ (/ x y) (pow z 2))) |
(* y (+ (/ x y) (pow z 2))) |
(* y (pow z 2)) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2))))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2))))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2))))) |
x |
(+ x (* y (pow z 2))) |
(+ x (* y (pow z 2))) |
(+ x (* y (pow z 2))) |
(* y (pow z 2)) |
(* (pow z 2) (+ y (/ x (pow z 2)))) |
(* (pow z 2) (+ y (/ x (pow z 2)))) |
(* (pow z 2) (+ y (/ x (pow z 2)))) |
(* y (pow z 2)) |
(* (pow z 2) (+ y (/ x (pow z 2)))) |
(* (pow z 2) (+ y (/ x (pow z 2)))) |
(* (pow z 2) (+ y (/ x (pow z 2)))) |
1 |
(+ 1 (/ (* y (pow z 2)) x)) |
(+ 1 (/ (* y (pow z 2)) x)) |
(+ 1 (/ (* y (pow z 2)) x)) |
(/ (* y (pow z 2)) x) |
(* y (+ (/ 1 y) (/ (pow z 2) x))) |
(* y (+ (/ 1 y) (/ (pow z 2) x))) |
(* y (+ (/ 1 y) (/ (pow z 2) x))) |
(/ (* y (pow z 2)) x) |
(* -1 (* y (- (* -1 (/ (pow z 2) x)) (/ 1 y)))) |
(* -1 (* y (- (* -1 (/ (pow z 2) x)) (/ 1 y)))) |
(* -1 (* y (- (* -1 (/ (pow z 2) x)) (/ 1 y)))) |
1 |
(+ 1 (/ (* y (pow z 2)) x)) |
(+ 1 (/ (* y (pow z 2)) x)) |
(+ 1 (/ (* y (pow z 2)) x)) |
(/ (* y (pow z 2)) x) |
(* (pow z 2) (+ (/ 1 (pow z 2)) (/ y x))) |
(* (pow z 2) (+ (/ 1 (pow z 2)) (/ y x))) |
(* (pow z 2) (+ (/ 1 (pow z 2)) (/ y x))) |
(/ (* y (pow z 2)) x) |
(* (pow z 2) (+ (/ 1 (pow z 2)) (/ y x))) |
(* (pow z 2) (+ (/ 1 (pow z 2)) (/ y x))) |
(* (pow z 2) (+ (/ 1 (pow z 2)) (/ y x))) |
(/ (* y (pow z 2)) x) |
(/ (+ x (* y (pow z 2))) x) |
(/ (+ x (* y (pow z 2))) x) |
(/ (+ x (* y (pow z 2))) x) |
1 |
(+ 1 (/ (* y (pow z 2)) x)) |
(+ 1 (/ (* y (pow z 2)) x)) |
(+ 1 (/ (* y (pow z 2)) x)) |
1 |
(+ 1 (/ (* y (pow z 2)) x)) |
(+ 1 (/ (* y (pow z 2)) x)) |
(+ 1 (/ (* y (pow z 2)) x)) |
(/ (pow z 2) x) |
(/ (pow z 2) x) |
(/ (pow z 2) x) |
(/ (pow z 2) x) |
(/ (pow z 2) x) |
(/ (pow z 2) x) |
(/ (pow z 2) x) |
(/ (pow z 2) x) |
(/ (pow z 2) x) |
(/ (pow z 2) x) |
(/ (pow z 2) x) |
(/ (pow z 2) x) |
(/ (pow z 2) x) |
(/ (pow z 2) x) |
(/ (pow z 2) x) |
(/ (pow z 2) x) |
(/ (pow z 2) x) |
(/ (pow z 2) x) |
(/ (pow z 2) x) |
(/ (pow z 2) x) |
(/ (pow z 2) x) |
(/ (pow z 2) x) |
(/ (pow z 2) x) |
(/ (pow z 2) x) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(pow z 4) |
(pow z 4) |
(pow z 4) |
(pow z 4) |
(pow z 4) |
(pow z 4) |
(pow z 4) |
(pow z 4) |
(pow z 4) |
(pow z 4) |
(pow z 4) |
(pow z 4) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(* y (pow z 4)) |
(* y (pow z 4)) |
(* y (pow z 4)) |
(* y (pow z 4)) |
(* y (pow z 4)) |
(* y (pow z 4)) |
(* y (pow z 4)) |
(* y (pow z 4)) |
(* y (pow z 4)) |
(* y (pow z 4)) |
(* y (pow z 4)) |
(* y (pow z 4)) |
(* y (pow z 4)) |
(* y (pow z 4)) |
(* y (pow z 4)) |
(* y (pow z 4)) |
(* y (pow z 4)) |
(* y (pow z 4)) |
(* y (pow z 4)) |
(* y (pow z 4)) |
(* y (pow z 4)) |
(* y (pow z 4)) |
(* y (pow z 4)) |
(* y (pow z 4)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(/ 1 (* y (pow z 2))) |
(/ 1 (* y (pow z 2))) |
(/ 1 (* y (pow z 2))) |
(/ 1 (* y (pow z 2))) |
(/ 1 (* y (pow z 2))) |
(/ 1 (* y (pow z 2))) |
(/ 1 (* y (pow z 2))) |
(/ 1 (* y (pow z 2))) |
(/ 1 (* y (pow z 2))) |
(/ 1 (* y (pow z 2))) |
(/ 1 (* y (pow z 2))) |
(/ 1 (* y (pow z 2))) |
(/ 1 (* y (pow z 2))) |
(/ 1 (* y (pow z 2))) |
(/ 1 (* y (pow z 2))) |
(/ 1 (* y (pow z 2))) |
(/ 1 (* y (pow z 2))) |
(/ 1 (* y (pow z 2))) |
(/ 1 (* y (pow z 2))) |
(/ 1 (* y (pow z 2))) |
(/ 1 (* y (pow z 2))) |
(/ 1 (* y (pow z 2))) |
(/ 1 (* y (pow z 2))) |
(/ 1 (* y (pow z 2))) |
(/ 1 (* y z)) |
(/ 1 (* y z)) |
(/ 1 (* y z)) |
(/ 1 (* y z)) |
(/ 1 (* y z)) |
(/ 1 (* y z)) |
(/ 1 (* y z)) |
(/ 1 (* y z)) |
(/ 1 (* y z)) |
(/ 1 (* y z)) |
(/ 1 (* y z)) |
(/ 1 (* y z)) |
(/ 1 (* y z)) |
(/ 1 (* y z)) |
(/ 1 (* y z)) |
(/ 1 (* y z)) |
(/ 1 (* y z)) |
(/ 1 (* y z)) |
(/ 1 (* y z)) |
(/ 1 (* y z)) |
(/ 1 (* y z)) |
(/ 1 (* y z)) |
(/ 1 (* y z)) |
(/ 1 (* 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) |
(pow z 3) |
(pow z 3) |
(pow z 3) |
(pow z 3) |
(pow z 3) |
(pow z 3) |
(pow z 3) |
(pow z 3) |
(pow z 3) |
(pow z 3) |
(pow z 3) |
(pow z 3) |
| Outputs |
|---|
(* y (pow z 2)) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) |
(+ x (* y (pow z 2))) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x) |
(+ x (* y (pow z 2))) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x) |
(+ x (* y (pow z 2))) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x) |
x |
(* x (+ 1 (/ (* y (pow z 2)) x))) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x) |
(* x (+ 1 (/ (* y (pow z 2)) x))) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x) |
(* x (+ 1 (/ (* y (pow z 2)) x))) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x) |
x |
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x) |
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x) |
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x) |
x |
(+ x (* y (pow z 2))) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x) |
(+ x (* y (pow z 2))) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x) |
(+ x (* y (pow z 2))) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x) |
(* y (pow z 2)) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* y (+ (/ x y) (pow z 2))) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x) |
(* y (+ (/ x y) (pow z 2))) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x) |
(* y (+ (/ x y) (pow z 2))) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x) |
(* y (pow z 2)) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2))))) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2))))) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2))))) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x) |
x |
(+ x (* y (pow z 2))) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x) |
(+ x (* y (pow z 2))) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x) |
(+ x (* y (pow z 2))) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x) |
(* y (pow z 2)) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* (pow z 2) (+ y (/ x (pow z 2)))) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x) |
(* (pow z 2) (+ y (/ x (pow z 2)))) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x) |
(* (pow z 2) (+ y (/ x (pow z 2)))) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x) |
(* y (pow z 2)) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* (pow z 2) (+ y (/ x (pow z 2)))) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x) |
(* (pow z 2) (+ y (/ x (pow z 2)))) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x) |
(* (pow z 2) (+ y (/ x (pow z 2)))) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ (* y (pow z 2)) x)) |
(fma.f64 z (/.f64 (*.f64 y z) x) #s(literal 1 binary64)) |
(+ 1 (/ (* y (pow z 2)) x)) |
(fma.f64 z (/.f64 (*.f64 y z) x) #s(literal 1 binary64)) |
(+ 1 (/ (* y (pow z 2)) x)) |
(fma.f64 z (/.f64 (*.f64 y z) x) #s(literal 1 binary64)) |
(/ (* y (pow z 2)) x) |
(fma.f64 z (/.f64 (*.f64 y z) x) #s(literal 0 binary64)) |
(* y (+ (/ 1 y) (/ (pow z 2) x))) |
(fma.f64 z (/.f64 (*.f64 y z) x) #s(literal 1 binary64)) |
(* y (+ (/ 1 y) (/ (pow z 2) x))) |
(fma.f64 z (/.f64 (*.f64 y z) x) #s(literal 1 binary64)) |
(* y (+ (/ 1 y) (/ (pow z 2) x))) |
(fma.f64 z (/.f64 (*.f64 y z) x) #s(literal 1 binary64)) |
(/ (* y (pow z 2)) x) |
(fma.f64 z (/.f64 (*.f64 y z) x) #s(literal 0 binary64)) |
(* -1 (* y (- (* -1 (/ (pow z 2) x)) (/ 1 y)))) |
(fma.f64 z (/.f64 (*.f64 y z) x) #s(literal 1 binary64)) |
(* -1 (* y (- (* -1 (/ (pow z 2) x)) (/ 1 y)))) |
(fma.f64 z (/.f64 (*.f64 y z) x) #s(literal 1 binary64)) |
(* -1 (* y (- (* -1 (/ (pow z 2) x)) (/ 1 y)))) |
(fma.f64 z (/.f64 (*.f64 y z) x) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ (* y (pow z 2)) x)) |
(fma.f64 z (/.f64 (*.f64 y z) x) #s(literal 1 binary64)) |
(+ 1 (/ (* y (pow z 2)) x)) |
(fma.f64 z (/.f64 (*.f64 y z) x) #s(literal 1 binary64)) |
(+ 1 (/ (* y (pow z 2)) x)) |
(fma.f64 z (/.f64 (*.f64 y z) x) #s(literal 1 binary64)) |
(/ (* y (pow z 2)) x) |
(fma.f64 z (/.f64 (*.f64 y z) x) #s(literal 0 binary64)) |
(* (pow z 2) (+ (/ 1 (pow z 2)) (/ y x))) |
(fma.f64 z (/.f64 (*.f64 y z) x) #s(literal 1 binary64)) |
(* (pow z 2) (+ (/ 1 (pow z 2)) (/ y x))) |
(fma.f64 z (/.f64 (*.f64 y z) x) #s(literal 1 binary64)) |
(* (pow z 2) (+ (/ 1 (pow z 2)) (/ y x))) |
(fma.f64 z (/.f64 (*.f64 y z) x) #s(literal 1 binary64)) |
(/ (* y (pow z 2)) x) |
(fma.f64 z (/.f64 (*.f64 y z) x) #s(literal 0 binary64)) |
(* (pow z 2) (+ (/ 1 (pow z 2)) (/ y x))) |
(fma.f64 z (/.f64 (*.f64 y z) x) #s(literal 1 binary64)) |
(* (pow z 2) (+ (/ 1 (pow z 2)) (/ y x))) |
(fma.f64 z (/.f64 (*.f64 y z) x) #s(literal 1 binary64)) |
(* (pow z 2) (+ (/ 1 (pow z 2)) (/ y x))) |
(fma.f64 z (/.f64 (*.f64 y z) x) #s(literal 1 binary64)) |
(/ (* y (pow z 2)) x) |
(fma.f64 z (/.f64 (*.f64 y z) x) #s(literal 0 binary64)) |
(/ (+ x (* y (pow z 2))) x) |
(fma.f64 z (/.f64 (*.f64 y z) x) #s(literal 1 binary64)) |
(/ (+ x (* y (pow z 2))) x) |
(fma.f64 z (/.f64 (*.f64 y z) x) #s(literal 1 binary64)) |
(/ (+ x (* y (pow z 2))) x) |
(fma.f64 z (/.f64 (*.f64 y z) x) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ (* y (pow z 2)) x)) |
(fma.f64 z (/.f64 (*.f64 y z) x) #s(literal 1 binary64)) |
(+ 1 (/ (* y (pow z 2)) x)) |
(fma.f64 z (/.f64 (*.f64 y z) x) #s(literal 1 binary64)) |
(+ 1 (/ (* y (pow z 2)) x)) |
(fma.f64 z (/.f64 (*.f64 y z) x) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ (* y (pow z 2)) x)) |
(fma.f64 z (/.f64 (*.f64 y z) x) #s(literal 1 binary64)) |
(+ 1 (/ (* y (pow z 2)) x)) |
(fma.f64 z (/.f64 (*.f64 y z) x) #s(literal 1 binary64)) |
(+ 1 (/ (* y (pow z 2)) x)) |
(fma.f64 z (/.f64 (*.f64 y z) x) #s(literal 1 binary64)) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(* y z) |
(*.f64 y z) |
(* y z) |
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(*.f64 y (*.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 z z #s(literal 0 binary64)))) |
(* y (pow z 4)) |
(*.f64 y (*.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 z z #s(literal 0 binary64)))) |
(* y (pow z 4)) |
(*.f64 y (*.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 z z #s(literal 0 binary64)))) |
(* y (pow z 4)) |
(*.f64 y (*.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 z z #s(literal 0 binary64)))) |
(* y (pow z 4)) |
(*.f64 y (*.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 z z #s(literal 0 binary64)))) |
(* y (pow z 4)) |
(*.f64 y (*.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 z z #s(literal 0 binary64)))) |
(* y (pow z 4)) |
(*.f64 y (*.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 z z #s(literal 0 binary64)))) |
(* y (pow z 4)) |
(*.f64 y (*.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 z z #s(literal 0 binary64)))) |
(* y (pow z 4)) |
(*.f64 y (*.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 z z #s(literal 0 binary64)))) |
(* y (pow z 2)) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* y (pow z 2)) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* y (pow z 2)) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* y (pow z 2)) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* y (pow z 2)) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* y (pow z 2)) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* y (pow z 2)) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* y (pow z 2)) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* y (pow z 2)) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* y (pow z 2)) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* y (pow z 2)) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* y (pow z 2)) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* y (pow z 2)) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* y (pow z 2)) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* y (pow z 2)) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* y (pow z 2)) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* y (pow z 2)) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* y (pow z 2)) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* y (pow z 2)) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* y (pow z 2)) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* y (pow z 2)) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* y (pow z 2)) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* y (pow z 2)) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* y (pow z 2)) |
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) |
(/ 1 (* y (pow z 2))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))) |
(/ 1 (* y (pow z 2))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))) |
(/ 1 (* y (pow z 2))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))) |
(/ 1 (* y (pow z 2))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))) |
(/ 1 (* y (pow z 2))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))) |
(/ 1 (* y (pow z 2))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))) |
(/ 1 (* y (pow z 2))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))) |
(/ 1 (* y (pow z 2))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))) |
(/ 1 (* y (pow z 2))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))) |
(/ 1 (* y (pow z 2))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))) |
(/ 1 (* y (pow z 2))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))) |
(/ 1 (* y (pow z 2))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))) |
(/ 1 (* y (pow z 2))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))) |
(/ 1 (* y (pow z 2))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))) |
(/ 1 (* y (pow z 2))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))) |
(/ 1 (* y (pow z 2))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))) |
(/ 1 (* y (pow z 2))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))) |
(/ 1 (* y (pow z 2))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))) |
(/ 1 (* y (pow z 2))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))) |
(/ 1 (* y (pow z 2))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))) |
(/ 1 (* y (pow z 2))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))) |
(/ 1 (* y (pow z 2))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))) |
(/ 1 (* y (pow z 2))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))) |
(/ 1 (* y (pow z 2))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))) |
(/ 1 (* y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
(/ 1 (* y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
(/ 1 (* y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
(/ 1 (* y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
(/ 1 (* y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
(/ 1 (* y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
(/ 1 (* y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
(/ 1 (* y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
(/ 1 (* y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
(/ 1 (* y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
(/ 1 (* y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
(/ 1 (* y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
(/ 1 (* y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
(/ 1 (* y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
(/ 1 (* y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
(/ 1 (* y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
(/ 1 (* y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
(/ 1 (* y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
(/ 1 (* y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
(/ 1 (* y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
(/ 1 (* y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
(/ 1 (* y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
(/ 1 (* y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
(/ 1 (* y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(pow z 3) |
(*.f64 z (fma.f64 z z #s(literal 0 binary64))) |
(pow z 3) |
(*.f64 z (fma.f64 z z #s(literal 0 binary64))) |
(pow z 3) |
(*.f64 z (fma.f64 z z #s(literal 0 binary64))) |
(pow z 3) |
(*.f64 z (fma.f64 z z #s(literal 0 binary64))) |
(pow z 3) |
(*.f64 z (fma.f64 z z #s(literal 0 binary64))) |
(pow z 3) |
(*.f64 z (fma.f64 z z #s(literal 0 binary64))) |
(pow z 3) |
(*.f64 z (fma.f64 z z #s(literal 0 binary64))) |
(pow z 3) |
(*.f64 z (fma.f64 z z #s(literal 0 binary64))) |
(pow z 3) |
(*.f64 z (fma.f64 z z #s(literal 0 binary64))) |
(pow z 3) |
(*.f64 z (fma.f64 z z #s(literal 0 binary64))) |
(pow z 3) |
(*.f64 z (fma.f64 z z #s(literal 0 binary64))) |
(pow z 3) |
(*.f64 z (fma.f64 z z #s(literal 0 binary64))) |
Compiled 201 032 to 6 715 computations (96.7% saved)
8 alts after pruning (3 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 6 206 | 2 | 6 208 |
| Fresh | 2 | 1 | 3 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 6 211 | 8 | 6 219 |
| Status | Accuracy | Program |
|---|---|---|
| 92.4% | (fma.f64 (/.f64 (*.f64 y z) x) (*.f64 z x) x) | |
| ✓ | 99.9% | (fma.f64 (*.f64 y z) z x) |
| 46.4% | (*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) z)) z) | |
| ✓ | 46.3% | (*.f64 (*.f64 y z) z) |
| 77.6% | (*.f64 y (fma.f64 z z (/.f64 x y))) | |
| ✓ | 41.6% | (*.f64 y (*.f64 z z)) |
| ✓ | 92.1% | (*.f64 x (fma.f64 y (*.f64 (/.f64 z x) z) #s(literal 1 binary64))) |
| ✓ | 55.4% | x |
Compiled 432 to 127 computations (70.6% saved)
| Inputs |
|---|
x |
(*.f64 y (*.f64 z z)) |
(*.f64 (*.f64 y z) z) |
(fma.f64 (*.f64 y z) z x) |
(fma.f64 (*.f64 z z) y x) |
(+.f64 x (*.f64 (*.f64 y z) z)) |
(*.f64 y (fma.f64 z z (/.f64 x y))) |
(*.f64 x (fma.f64 y (*.f64 (/.f64 z x) z) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 y (/.f64 (*.f64 z z) x) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 y z) (/.f64 z x) #s(literal 1 binary64))) |
(*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) z)) z) |
(fma.f64 (/.f64 (*.f64 y z) x) (*.f64 z x) x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) z)) |
(/.f64 (*.f64 (fma.f64 z (*.f64 z (fma.f64 z z #s(literal 0 binary64))) #s(literal 0 binary64)) y) (fma.f64 z z #s(literal 0 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 #s(literal 1 binary64) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) z)) |
(/.f64 (*.f64 (fma.f64 y (*.f64 z z) x) (fma.f64 (neg.f64 (*.f64 y z)) z x)) (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x)) |
(/.f64 (*.f64 (fma.f64 y (*.f64 z z) x) (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x)) (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x)) |
(*.f64 (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) x)) (*.f64 (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 z z #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) x))))) |
(fma.f64 (/.f64 (fma.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))) y x) |
(/.f64 (fma.f64 (*.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) x) (*.f64 y z)) z (*.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) x) x)) (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x)) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (/.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x) (*.f64 y (*.f64 (*.f64 y (*.f64 z z)) (*.f64 z z))))) (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x)) (*.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x) (/.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)) x) (*.f64 y (*.f64 (*.f64 y (*.f64 z z)) (*.f64 z z)))))) |
| Outputs |
|---|
(fma.f64 (*.f64 y z) z x) |
5 calls:
| 32.0ms | y |
| 7.0ms | x |
| 7.0ms | z |
| 7.0ms | (+.f64 x (*.f64 (*.f64 y z) z)) |
| 6.0ms | (*.f64 (*.f64 y z) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | z |
| 99.9% | 1 | (+.f64 x (*.f64 (*.f64 y z) z)) |
| 99.9% | 1 | (*.f64 (*.f64 y z) z) |
Compiled 30 to 20 computations (33.3% saved)
| Inputs |
|---|
x |
(*.f64 y (*.f64 z z)) |
(*.f64 (*.f64 y z) z) |
| Outputs |
|---|
(*.f64 (*.f64 y z) z) |
x |
(*.f64 (*.f64 y z) z) |
5 calls:
| 5.0ms | y |
| 2.0ms | x |
| 2.0ms | z |
| 2.0ms | (+.f64 x (*.f64 (*.f64 y z) z)) |
| 2.0ms | (*.f64 (*.f64 y z) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.5% | 3 | x |
| 71.4% | 3 | y |
| 81.3% | 2 | z |
| 78.7% | 3 | (+.f64 x (*.f64 (*.f64 y z) z)) |
| 89.6% | 3 | (*.f64 (*.f64 y z) z) |
Compiled 30 to 20 computations (33.3% saved)
| Inputs |
|---|
x |
(*.f64 y (*.f64 z z)) |
| Outputs |
|---|
(*.f64 y (*.f64 z z)) |
x |
(*.f64 y (*.f64 z z)) |
1 calls:
| 1.0ms | (*.f64 (*.f64 y z) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.3% | 3 | (*.f64 (*.f64 y z) z) |
Compiled 8 to 5 computations (37.5% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
x |
| Outputs |
|---|
x |
5 calls:
| 1.0ms | y |
| 1.0ms | z |
| 1.0ms | x |
| 1.0ms | (+.f64 x (*.f64 (*.f64 y z) z)) |
| 1.0ms | (*.f64 (*.f64 y z) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.4% | 1 | x |
| 55.4% | 1 | y |
| 55.4% | 1 | (+.f64 x (*.f64 (*.f64 y z) z)) |
| 55.4% | 1 | z |
| 55.4% | 1 | (*.f64 (*.f64 y z) z) |
Compiled 30 to 20 computations (33.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.5717820689809867e+37 | 2.3056130764076155e+77 |
| 0.0ms | -6.840656218768136e-103 | -4.267660629062847e-112 |
Compiled 13 to 12 computations (7.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.5717820689809867e+37 | 2.3056130764076155e+77 |
| 0.0ms | -6.840656218768136e-103 | -4.267660629062847e-112 |
Compiled 13 to 12 computations (7.7% saved)
| 1× | egg-herbie |
| 6× | *-commutative_binary64 |
| 4× | if-if-or-not_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 53 |
| 1 | 23 | 53 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (*.f64 y z) z x) |
(if (<=.f64 (*.f64 (*.f64 y z) z) #s(literal -5043456793138493/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896 binary64)) (*.f64 (*.f64 y z) z) (if (<=.f64 (*.f64 (*.f64 y z) z) #s(literal 19999999999999999077525316404242284544 binary64)) x (*.f64 (*.f64 y z) z))) |
(if (<=.f64 (*.f64 (*.f64 y z) z) #s(literal -5043456793138493/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896 binary64)) (*.f64 y (*.f64 z z)) (if (<=.f64 (*.f64 (*.f64 y z) z) #s(literal 19999999999999999077525316404242284544 binary64)) x (*.f64 y (*.f64 z z)))) |
x |
| Outputs |
|---|
(fma.f64 (*.f64 y z) z x) |
(if (<=.f64 (*.f64 (*.f64 y z) z) #s(literal -5043456793138493/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896 binary64)) (*.f64 (*.f64 y z) z) (if (<=.f64 (*.f64 (*.f64 y z) z) #s(literal 19999999999999999077525316404242284544 binary64)) x (*.f64 (*.f64 y z) z))) |
(if (<=.f64 (*.f64 z (*.f64 y z)) #s(literal -5043456793138493/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896 binary64)) (*.f64 z (*.f64 y z)) (if (<=.f64 (*.f64 z (*.f64 y z)) #s(literal 19999999999999999077525316404242284544 binary64)) x (*.f64 z (*.f64 y z)))) |
(if (<=.f64 (*.f64 (*.f64 y z) z) #s(literal -5043456793138493/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896 binary64)) (*.f64 y (*.f64 z z)) (if (<=.f64 (*.f64 (*.f64 y z) z) #s(literal 19999999999999999077525316404242284544 binary64)) x (*.f64 y (*.f64 z z)))) |
(if (<=.f64 (*.f64 z (*.f64 y z)) #s(literal -5043456793138493/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896 binary64)) (*.f64 y (*.f64 z z)) (if (<=.f64 (*.f64 z (*.f64 y z)) #s(literal 19999999999999999077525316404242284544 binary64)) x (*.f64 y (*.f64 z z)))) |
x |
| 13 740× | accelerator-lowering-fma.f32 |
| 13 740× | accelerator-lowering-fma.f64 |
| 12 084× | accelerator-lowering-fma.f32 |
| 12 084× | accelerator-lowering-fma.f64 |
| 4 866× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 202 |
| 1 | 248 | 134 |
| 2 | 2188 | 125 |
| 0 | 9389 | 119 |
| 0 | 6 | 15 |
| 1 | 24 | 15 |
| 2 | 176 | 15 |
| 3 | 1771 | 15 |
| 0 | 8572 | 14 |
| 0 | 28 | 410 |
| 1 | 87 | 410 |
| 2 | 237 | 410 |
| 3 | 701 | 410 |
| 4 | 2114 | 410 |
| 5 | 4246 | 410 |
| 6 | 6914 | 410 |
| 0 | 8029 | 383 |
| 0 | 279 | 3350 |
| 1 | 883 | 3125 |
| 2 | 2800 | 2966 |
| 0 | 8277 | 2857 |
| 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 127 to 55 computations (56.7% saved)
(abs z)
Compiled 166 to 54 computations (67.5% saved)
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