
Time bar (total: 6.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 4 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 5 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 6 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 7 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 8 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 9 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 10 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 11 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 9 to 7 computations (22.2% saved)
| 456.0ms | 8 256× | 0 | valid |
ival-add: 184.0ms (72.5% of total)ival-div: 61.0ms (24% of total)ival-true: 6.0ms (2.4% of total)ival-assert: 3.0ms (1.2% of total)| 2× | egg-herbie |
| 1 008× | times-frac |
| 972× | div-sub |
| 948× | distribute-lft-in |
| 880× | distribute-rgt-in |
| 648× | associate-/r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 48 |
| 1 | 44 | 42 |
| 2 | 108 | 42 |
| 3 | 320 | 42 |
| 4 | 1302 | 42 |
| 5 | 2669 | 42 |
| 6 | 3640 | 42 |
| 7 | 4208 | 42 |
| 8 | 4632 | 42 |
| 9 | 4891 | 42 |
| 10 | 5045 | 42 |
| 11 | 5458 | 42 |
| 12 | 5607 | 42 |
| 0 | 5 | 7 |
| 1 | 8 | 7 |
| 2 | 11 | 7 |
| 3 | 13 | 7 |
| 0 | 13 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(/ (+ x y) (+ y y)) |
| Outputs |
|---|
(/ (+ x y) (+ y y)) |
(/.f64 (+.f64 x y) (+.f64 y y)) |
| Inputs |
|---|
(/ (+ x y) (+ y y)) |
(/ (+ (neg x) y) (+ y y)) |
(/ (+ x (neg y)) (+ (neg y) (neg y))) |
(neg (/ (+ (neg x) y) (+ y y))) |
(neg (/ (+ x (neg y)) (+ (neg y) (neg y)))) |
(/ (+ y x) (+ x x)) |
| Outputs |
|---|
(/ (+ x y) (+ y y)) |
(* -1/2 (- -1 (/ x y))) |
(/ (+ (neg x) y) (+ y y)) |
(* (- y x) (/ 1/2 y)) |
(/ (+ x (neg y)) (+ (neg y) (neg y))) |
(* (- y x) (/ 1/2 y)) |
(neg (/ (+ (neg x) y) (+ y y))) |
(* (- y x) (/ -1/2 y)) |
(neg (/ (+ x (neg y)) (+ (neg y) (neg y)))) |
(* (- y x) (/ -1/2 y)) |
(/ (+ y x) (+ x x)) |
(+ 1/2 (* 1/2 (/ y x))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (+.f64 y y) |
| 0 | 0 | - | 0 | - | (/.f64 (+.f64 x y) (+.f64 y y)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (+.f64 x y) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 21.0ms | 512× | 0 | valid |
Compiled 52 to 24 computations (53.8% saved)
ival-add: 5.0ms (52.8% of total)ival-div: 4.0ms (42.3% of total)ival-true: 1.0ms (10.6% of total)ival-assert: 0.0ms (0% of total)Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (/.f64 (+.f64 x y) (+.f64 y y)) |
Compiled 9 to 5 computations (44.4% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 y y) |
| ✓ | cost-diff | 0 | (+.f64 x y) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 x y) (+.f64 y y)) |
| 10× | /-lowering-/.f32 |
| 10× | /-lowering-/.f64 |
| 6× | +-lowering-+.f64 |
| 6× | +-lowering-+.f32 |
| 4× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 15 |
| 1 | 8 | 15 |
| 2 | 11 | 15 |
| 3 | 13 | 15 |
| 0 | 13 | 15 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ (+ x y) (+ y y)) |
(+ x y) |
x |
y |
(+ y y) |
| Outputs |
|---|
(/ (+ x y) (+ y y)) |
(/.f64 (+.f64 x y) (+.f64 y y)) |
(+ x y) |
(+.f64 x y) |
x |
y |
(+ y y) |
(+.f64 y y) |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 y y) |
| ✓ | accuracy | 100.0% | (+.f64 x y) |
| ✓ | accuracy | 100.0% | (/.f64 (+.f64 x y) (+.f64 y y)) |
| 10.0ms | 256× | 0 | valid |
Compiled 17 to 7 computations (58.8% saved)
ival-div: 2.0ms (44.1% of total)ival-add: 2.0ms (44.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (+ x y) (+ y y))> |
#<alt (+ x y)> |
#<alt (+ y y)> |
| Outputs |
|---|
#<alt 1/2> |
#<alt (+ 1/2 (* 1/2 (/ x y)))> |
#<alt (+ 1/2 (* 1/2 (/ x y)))> |
#<alt (+ 1/2 (* 1/2 (/ x y)))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))> |
#<alt (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))> |
#<alt (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))> |
#<alt (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))> |
#<alt (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))> |
#<alt (* 1/2 (/ x y))> |
#<alt (/ (+ (* 1/2 x) (* 1/2 y)) y)> |
#<alt (/ (+ (* 1/2 x) (* 1/2 y)) y)> |
#<alt (/ (+ (* 1/2 x) (* 1/2 y)) y)> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/2 (/ x y)))> |
#<alt (+ 1/2 (* 1/2 (/ x y)))> |
#<alt (+ 1/2 (* 1/2 (/ x y)))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/2 (/ x y)))> |
#<alt (+ 1/2 (* 1/2 (/ x y)))> |
#<alt (+ 1/2 (* 1/2 (/ x y)))> |
#<alt y> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt x> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt x> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt y> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt y> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | 0 | (/ (+ x y) (+ y y)) |
| 1.0ms | y | @ | 0 | (+ y y) |
| 1.0ms | x | @ | inf | (/ (+ x y) (+ y y)) |
| 1.0ms | y | @ | 0 | (/ (+ x y) (+ y y)) |
| 0.0ms | y | @ | inf | (/ (+ x y) (+ y y)) |
| 1× | batch-egg-rewrite |
| 150× | /-lowering-/.f32 |
| 150× | /-lowering-/.f64 |
| 128× | *-lowering-*.f32 |
| 128× | *-lowering-*.f64 |
| 76× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 13 |
| 1 | 35 | 13 |
| 0 | 302 | 13 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| Inputs |
|---|
(/ (+ x y) (+ y y)) |
(+ x y) |
(+ y y) |
| Outputs |
|---|
(neg.f64 (*.f64 (+.f64 x y) (+.f64 y y))) |
(/.f64 (+.f64 x y) (+.f64 y y)) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 x y)) (+.f64 y y)) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (+.f64 y y) (fma.f64 x x (*.f64 y (-.f64 y x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y y) (+.f64 x y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 y y) (+.f64 x y)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (+.f64 y y) (-.f64 x y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 y y) (+.f64 x y)))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (+.f64 y y))) |
(/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) #s(literal 1 binary64)) (*.f64 (-.f64 x y) (+.f64 y y))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 x y))) (+.f64 y y)) |
(/.f64 (*.f64 (+.f64 x y) #s(literal 1 binary64)) (+.f64 y y)) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (+.f64 y y)) (fma.f64 x x (*.f64 y (-.f64 y x)))) |
(/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (+.f64 y y)) (-.f64 x y)) |
(/.f64 (/.f64 (+.f64 x y) #s(literal 2 binary64)) y) |
(pow.f64 (/.f64 (+.f64 y y) (+.f64 x y)) #s(literal -1 binary64)) |
(*.f64 (+.f64 x y) (+.f64 y y)) |
(*.f64 (+.f64 y y) (+.f64 x y)) |
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 x y)) (+.f64 y y)) |
(*.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (+.f64 y y))) |
(*.f64 (/.f64 (+.f64 x y) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (fma.f64 y y #s(literal 0 binary64))) |
(*.f64 (/.f64 (+.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(+.f64 x y) |
(+.f64 y x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 x x (*.f64 y (-.f64 y x)))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y)))) |
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 x y)) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (neg.f64 (fma.f64 x x (*.f64 y (-.f64 y x))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 (-.f64 x y))) |
(/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (-.f64 y x)) |
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (-.f64 y x))))) |
(*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y))) |
(+.f64 y y) |
(+.f64 (neg.f64 y) (neg.f64 y)) |
(-.f64 #s(literal 0 binary64) (+.f64 y y)) |
(-.f64 (/.f64 (*.f64 y y) #s(literal 0 binary64)) (/.f64 (*.f64 y y) #s(literal 0 binary64))) |
(neg.f64 (+.f64 y y)) |
(/.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (fma.f64 y y #s(literal 0 binary64))) |
(/.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (neg.f64 (fma.f64 y y #s(literal 0 binary64)))) |
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) |
(/.f64 #s(literal 1 binary64) (+.f64 y y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y y) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)))) |
(/.f64 #s(literal -1 binary64) (+.f64 y y)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (fma.f64 y y #s(literal 0 binary64))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (neg.f64 (fma.f64 y y #s(literal 0 binary64)))) |
(/.f64 #s(literal 1/2 binary64) y) |
(pow.f64 (+.f64 y y) #s(literal -1 binary64)) |
(*.f64 y #s(literal 2 binary64)) |
(*.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64)))) |
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64))) |
(*.f64 #s(literal 1 binary64) (+.f64 y y)) |
(*.f64 #s(literal 2 binary64) y) |
(*.f64 #s(literal 2 binary64) (neg.f64 y)) |
(*.f64 #s(literal -1 binary64) (+.f64 y y)) |
(*.f64 #s(literal -2 binary64) y) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (fma.f64 y y #s(literal 0 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) |
| 1× | egg-herbie |
| 4 752× | accelerator-lowering-fma.f32 |
| 4 752× | accelerator-lowering-fma.f64 |
| 2 672× | *-lowering-*.f32 |
| 2 672× | *-lowering-*.f64 |
| 1 714× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 240 |
| 1 | 95 | 240 |
| 2 | 195 | 240 |
| 3 | 539 | 240 |
| 4 | 2494 | 240 |
| 5 | 4900 | 240 |
| 6 | 6147 | 240 |
| 7 | 7103 | 240 |
| 8 | 7625 | 240 |
| 0 | 8012 | 222 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+ 1/2 (* 1/2 (/ x y))) |
(+ 1/2 (* 1/2 (/ x y))) |
(+ 1/2 (* 1/2 (/ x y))) |
(* 1/2 (/ x y)) |
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))) |
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))) |
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))) |
(* 1/2 (/ x y)) |
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))) |
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))) |
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))) |
(* 1/2 (/ x y)) |
(/ (+ (* 1/2 x) (* 1/2 y)) y) |
(/ (+ (* 1/2 x) (* 1/2 y)) y) |
(/ (+ (* 1/2 x) (* 1/2 y)) y) |
1/2 |
(+ 1/2 (* 1/2 (/ x y))) |
(+ 1/2 (* 1/2 (/ x y))) |
(+ 1/2 (* 1/2 (/ x y))) |
1/2 |
(+ 1/2 (* 1/2 (/ x y))) |
(+ 1/2 (* 1/2 (/ x y))) |
(+ 1/2 (* 1/2 (/ x y))) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
| Outputs |
|---|
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/2 (/ x y))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (/ x y))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (/ x y))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
(* 1/2 (/ x y)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 0 binary64)) |
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
(* 1/2 (/ x y)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 0 binary64)) |
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
(* 1/2 (/ x y)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 0 binary64)) |
(/ (+ (* 1/2 x) (* 1/2 y)) y) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
(/ (+ (* 1/2 x) (* 1/2 y)) y) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
(/ (+ (* 1/2 x) (* 1/2 y)) y) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/2 (/ x y))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (/ x y))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (/ x y))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/2 (/ x y))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (/ x y))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (/ x y))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
y |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
x |
(* x (+ 1 (/ y x))) |
(+.f64 x y) |
(* x (+ 1 (/ y x))) |
(+.f64 x y) |
(* x (+ 1 (/ y x))) |
(+.f64 x y) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 x y) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 x y) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 x y) |
x |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
y |
(* y (+ 1 (/ x y))) |
(+.f64 x y) |
(* y (+ 1 (/ x y))) |
(+.f64 x y) |
(* y (+ 1 (/ x y))) |
(+.f64 x y) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 x y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 x y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 x y) |
(* 2 y) |
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) |
(* 2 y) |
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) |
(* 2 y) |
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) |
(* 2 y) |
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) |
(* 2 y) |
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) |
(* 2 y) |
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) |
(* 2 y) |
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) |
(* 2 y) |
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) |
(* 2 y) |
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) |
(* 2 y) |
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) |
(* 2 y) |
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) |
(* 2 y) |
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) |
Compiled 1 177 to 164 computations (86.1% saved)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 116 | 5 | 121 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 117 | 5 | 122 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
| ▶ | 63.0% | (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (+.f64 y y) (-.f64 x y))) |
| ▶ | 50.8% | (/.f64 x (+.f64 y y)) |
| ▶ | 4.5% | (*.f64 (+.f64 y y) (+.f64 x y)) |
| ▶ | 49.6% | #s(literal 1/2 binary64) |
Compiled 88 to 50 computations (43.2% saved)
| 1× | egg-herbie |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 x y) |
| ✓ | cost-diff | 0 | (+.f64 x y) |
| ✓ | cost-diff | 0 | (*.f64 (+.f64 x y) (-.f64 x y)) |
| ✓ | cost-diff | 1024 | (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (+.f64 y y) (-.f64 x y))) |
| ✓ | cost-diff | 0 | (+.f64 y y) |
| ✓ | cost-diff | 0 | (/.f64 x (+.f64 y y)) |
| ✓ | cost-diff | 0 | (+.f64 x y) |
| ✓ | cost-diff | 0 | (+.f64 y y) |
| ✓ | cost-diff | 0 | (*.f64 (+.f64 y y) (+.f64 x y)) |
| ✓ | cost-diff | 0 | (/.f64 x y) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
| 5 532× | accelerator-lowering-fma.f32 |
| 5 532× | accelerator-lowering-fma.f64 |
| 3 588× | /-lowering-/.f32 |
| 3 588× | /-lowering-/.f64 |
| 3 336× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 71 |
| 1 | 39 | 71 |
| 2 | 129 | 71 |
| 3 | 333 | 71 |
| 4 | 1314 | 71 |
| 5 | 4670 | 71 |
| 0 | 8150 | 69 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* 1/2 (/ x y)) 1/2) |
1/2 |
(/ x y) |
x |
y |
1/2 |
(* (+ y y) (+ x y)) |
(+ y y) |
y |
(+ x y) |
x |
(/ x (+ y y)) |
x |
(+ y y) |
y |
(/ (* (+ x y) (- x y)) (* (+ y y) (- x y))) |
(* (+ x y) (- x y)) |
(+ x y) |
x |
y |
(- x y) |
(* (+ y y) (- x y)) |
(+ y y) |
| Outputs |
|---|
(+ (* 1/2 (/ x y)) 1/2) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(/ x y) |
(/.f64 x y) |
x |
y |
1/2 |
#s(literal 1/2 binary64) |
(* (+ y y) (+ x y)) |
(*.f64 (+.f64 y y) (+.f64 x y)) |
(+ y y) |
(+.f64 y y) |
y |
(+ x y) |
(+.f64 x y) |
x |
(/ x (+ y y)) |
(/.f64 x (+.f64 y y)) |
x |
(+ y y) |
(+.f64 y y) |
y |
(/ (* (+ x y) (- x y)) (* (+ y y) (- x y))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
(* (+ x y) (- x y)) |
(*.f64 (+.f64 x y) (-.f64 x y)) |
(+ x y) |
(+.f64 x y) |
x |
y |
(- x y) |
(-.f64 x y) |
(* (+ y y) (- x y)) |
(*.f64 (+.f64 y y) (-.f64 x y)) |
(+ y y) |
(+.f64 y y) |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 x y) |
| ✓ | accuracy | 100.0% | (*.f64 (+.f64 y y) (-.f64 x y)) |
| ✓ | accuracy | 100.0% | (*.f64 (+.f64 x y) (-.f64 x y)) |
| ✓ | accuracy | 63.8% | (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (+.f64 y y) (-.f64 x y))) |
| ✓ | accuracy | 100.0% | (/.f64 x (+.f64 y y)) |
| ✓ | accuracy | 100.0% | (+.f64 y y) |
| ✓ | accuracy | 100.0% | (+.f64 y y) |
| ✓ | accuracy | 100.0% | (+.f64 x y) |
| ✓ | accuracy | 100.0% | (*.f64 (+.f64 y y) (+.f64 x y)) |
| ✓ | accuracy | 100.0% | (/.f64 x y) |
| ✓ | accuracy | 100.0% | (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
| 34.0ms | 256× | 0 | valid |
Compiled 80 to 16 computations (80% saved)
ival-div: 12.0ms (52.3% of total)ival-mult: 6.0ms (26.2% of total)ival-add: 3.0ms (13.1% of total)ival-sub: 1.0ms (4.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* 1/2 (/ x y)) 1/2)> |
#<alt (/ x y)> |
#<alt (* (+ y y) (+ x y))> |
#<alt (+ y y)> |
#<alt (+ x y)> |
#<alt (/ x (+ y y))> |
#<alt (/ (* (+ x y) (- x y)) (* (+ y y) (- x y)))> |
#<alt (* (+ x y) (- x y))> |
#<alt (- x y)> |
#<alt (* (+ y y) (- x y))> |
| Outputs |
|---|
#<alt 1/2> |
#<alt (+ 1/2 (* 1/2 (/ x y)))> |
#<alt (+ 1/2 (* 1/2 (/ x y)))> |
#<alt (+ 1/2 (* 1/2 (/ x y)))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))> |
#<alt (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))> |
#<alt (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* x (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))> |
#<alt (* x (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))> |
#<alt (* x (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))> |
#<alt (* 1/2 (/ x y))> |
#<alt (/ (+ (* 1/2 x) (* 1/2 y)) y)> |
#<alt (/ (+ (* 1/2 x) (* 1/2 y)) y)> |
#<alt (/ (+ (* 1/2 x) (* 1/2 y)) y)> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/2 (/ x y)))> |
#<alt (+ 1/2 (* 1/2 (/ x y)))> |
#<alt (+ 1/2 (* 1/2 (/ x y)))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/2 (/ x y)))> |
#<alt (+ 1/2 (* 1/2 (/ x y)))> |
#<alt (+ 1/2 (* 1/2 (/ x y)))> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (* 2 (* x y))> |
#<alt (* y (+ (* 2 x) (* 2 y)))> |
#<alt (* y (+ (* 2 x) (* 2 y)))> |
#<alt (* y (+ (* 2 x) (* 2 y)))> |
#<alt (* 2 (pow y 2))> |
#<alt (* (pow y 2) (+ 2 (* 2 (/ x y))))> |
#<alt (* (pow y 2) (+ 2 (* 2 (/ x y))))> |
#<alt (* (pow y 2) (+ 2 (* 2 (/ x y))))> |
#<alt (* 2 (pow y 2))> |
#<alt (* (pow y 2) (+ 2 (* 2 (/ x y))))> |
#<alt (* (pow y 2) (+ 2 (* 2 (/ x y))))> |
#<alt (* (pow y 2) (+ 2 (* 2 (/ x y))))> |
#<alt (* 2 (pow y 2))> |
#<alt (+ (* 2 (* x y)) (* 2 (pow y 2)))> |
#<alt (+ (* 2 (* x y)) (* 2 (pow y 2)))> |
#<alt (+ (* 2 (* x y)) (* 2 (pow y 2)))> |
#<alt (* 2 (* x y))> |
#<alt (* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))> |
#<alt (* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))> |
#<alt (* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))> |
#<alt (* 2 (* x y))> |
#<alt (* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))> |
#<alt (* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))> |
#<alt (* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt y> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt x> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt x> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt y> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt y> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/2 (/ x y)))> |
#<alt (+ 1/2 (* 1/2 (/ x y)))> |
#<alt (+ 1/2 (* 1/2 (/ x y)))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))> |
#<alt (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))> |
#<alt (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))> |
#<alt (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))> |
#<alt (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))> |
#<alt (* 1/2 (/ x y))> |
#<alt (/ (+ (* 1/2 x) (* 1/2 y)) y)> |
#<alt (/ (+ (* 1/2 x) (* 1/2 y)) y)> |
#<alt (/ (+ (* 1/2 x) (* 1/2 y)) y)> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/2 (/ x y)))> |
#<alt (+ 1/2 (* 1/2 (/ x y)))> |
#<alt (+ 1/2 (* 1/2 (/ x y)))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/2 (/ x y)))> |
#<alt (+ 1/2 (* 1/2 (/ x y)))> |
#<alt (+ 1/2 (* 1/2 (/ x y)))> |
#<alt (* -1 (pow y 2))> |
#<alt (+ (* -1 (pow y 2)) (* x (+ y (* -1 y))))> |
#<alt (+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))> |
#<alt (+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))> |
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))> |
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))> |
#<alt (pow x 2)> |
#<alt (+ (* y (+ x (* -1 x))) (pow x 2))> |
#<alt (+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))> |
#<alt (+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))> |
#<alt (* -1 (pow y 2))> |
#<alt (* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1))> |
#<alt (* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))> |
#<alt (* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))> |
#<alt (* -1 (pow y 2))> |
#<alt (* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1))> |
#<alt (* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))> |
#<alt (* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))> |
#<alt (* -1 y)> |
#<alt (- x y)> |
#<alt (- x y)> |
#<alt (- x y)> |
#<alt x> |
#<alt (* x (+ 1 (* -1 (/ y x))))> |
#<alt (* x (+ 1 (* -1 (/ y x))))> |
#<alt (* x (+ 1 (* -1 (/ y x))))> |
#<alt x> |
#<alt (* -1 (* x (- (/ y x) 1)))> |
#<alt (* -1 (* x (- (/ y x) 1)))> |
#<alt (* -1 (* x (- (/ y x) 1)))> |
#<alt x> |
#<alt (+ x (* -1 y))> |
#<alt (+ x (* -1 y))> |
#<alt (+ x (* -1 y))> |
#<alt (* -1 y)> |
#<alt (* y (- (/ x y) 1))> |
#<alt (* y (- (/ x y) 1))> |
#<alt (* y (- (/ x y) 1))> |
#<alt (* -1 y)> |
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))> |
#<alt (* 2 (* x y))> |
#<alt (* y (+ (* -2 y) (* 2 x)))> |
#<alt (* y (+ (* -2 y) (* 2 x)))> |
#<alt (* y (+ (* -2 y) (* 2 x)))> |
#<alt (* -2 (pow y 2))> |
#<alt (* (pow y 2) (- (* 2 (/ x y)) 2))> |
#<alt (* (pow y 2) (- (* 2 (/ x y)) 2))> |
#<alt (* (pow y 2) (- (* 2 (/ x y)) 2))> |
#<alt (* -2 (pow y 2))> |
#<alt (* (pow y 2) (- (* 2 (/ x y)) 2))> |
#<alt (* (pow y 2) (- (* 2 (/ x y)) 2))> |
#<alt (* (pow y 2) (- (* 2 (/ x y)) 2))> |
#<alt (* -2 (pow y 2))> |
#<alt (+ (* -2 (pow y 2)) (* 2 (* x y)))> |
#<alt (+ (* -2 (pow y 2)) (* 2 (* x y)))> |
#<alt (+ (* -2 (pow y 2)) (* 2 (* x y)))> |
#<alt (* 2 (* x y))> |
#<alt (* x (+ (* -2 (/ (pow y 2) x)) (* 2 y)))> |
#<alt (* x (+ (* -2 (/ (pow y 2) x)) (* 2 y)))> |
#<alt (* x (+ (* -2 (/ (pow y 2) x)) (* 2 y)))> |
#<alt (* 2 (* x y))> |
#<alt (* -1 (* x (+ (* -2 y) (* 2 (/ (pow y 2) x)))))> |
#<alt (* -1 (* x (+ (* -2 y) (* 2 (/ (pow y 2) x)))))> |
#<alt (* -1 (* x (+ (* -2 y) (* 2 (/ (pow y 2) x)))))> |
57 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | -inf | (* (+ y y) (+ x y)) |
| 0.0ms | x | @ | inf | (+ (* 1/2 (/ x y)) 1/2) |
| 0.0ms | x | @ | 0 | (+ (* 1/2 (/ x y)) 1/2) |
| 0.0ms | y | @ | 0 | (* (+ y y) (+ x y)) |
| 0.0ms | x | @ | -inf | (* (+ y y) (+ x y)) |
| 1× | batch-egg-rewrite |
| 520× | /-lowering-/.f32 |
| 520× | /-lowering-/.f64 |
| 514× | *-lowering-*.f32 |
| 514× | *-lowering-*.f64 |
| 296× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 52 |
| 1 | 96 | 52 |
| 0 | 933 | 51 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* 1/2 (/ x y)) 1/2) |
(/ x y) |
(* (+ y y) (+ x y)) |
(+ y y) |
(+ x y) |
(/ x (+ y y)) |
(/ (* (+ x y) (- x y)) (* (+ y y) (- x y))) |
(* (+ x y) (- x y)) |
(- x y) |
(* (+ y y) (- x y)) |
| Outputs |
|---|
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y y)) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y y)) #s(literal 1/8 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y y)) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 x y) #s(literal 1/4 binary64))))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y y)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y y)) (*.f64 (/.f64 x y) #s(literal 1/4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y y)) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 x y) #s(literal 1/4 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y y)) #s(literal 1/8 binary64)))) |
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(fma.f64 (*.f64 x #s(literal 2 binary64)) y (*.f64 (+.f64 y y) (-.f64 #s(literal 0 binary64) y))) |
(fma.f64 (*.f64 x #s(literal 2 binary64)) y (*.f64 (-.f64 #s(literal 0 binary64) y) (+.f64 y y))) |
(fma.f64 (/.f64 x (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (fma.f64 y y #s(literal 0 binary64)) (*.f64 (+.f64 y y) (-.f64 #s(literal 0 binary64) y))) |
(fma.f64 (/.f64 x (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (fma.f64 y y #s(literal 0 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) y) (+.f64 y y))) |
(fma.f64 (/.f64 x #s(literal 0 binary64)) #s(literal 0 binary64) (*.f64 (+.f64 y y) (-.f64 #s(literal 0 binary64) y))) |
(fma.f64 (/.f64 x #s(literal 0 binary64)) #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) y) (+.f64 y y))) |
(neg.f64 (*.f64 (+.f64 y y) (-.f64 x y))) |
(/.f64 (*.f64 (-.f64 x y) (*.f64 (+.f64 y y) (+.f64 x y))) (+.f64 x y)) |
(/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 x y))) |
(/.f64 (*.f64 #s(literal 0 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 #s(literal 0 binary64) (+.f64 x y))) |
(/.f64 (*.f64 #s(literal 0 binary64) (-.f64 x y)) #s(literal 0 binary64)) |
(/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (*.f64 (+.f64 x y) (fma.f64 y y #s(literal 0 binary64)))) |
(/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) #s(literal 0 binary64)) (*.f64 (+.f64 x y) #s(literal 0 binary64))) |
(/.f64 (*.f64 (-.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y (+.f64 x y) (*.f64 x x)))) |
(/.f64 (*.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (*.f64 #s(literal 0 binary64) (fma.f64 y (+.f64 x y) (*.f64 x x)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y)) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (fma.f64 y y #s(literal 0 binary64)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y)) #s(literal 0 binary64)) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) #s(literal 0 binary64))) |
(/.f64 (*.f64 (+.f64 y y) (*.f64 (+.f64 x y) (-.f64 x y))) (+.f64 x y)) |
(/.f64 (*.f64 (+.f64 y y) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (fma.f64 y (+.f64 x y) (*.f64 x x))) |
(/.f64 (*.f64 (-.f64 x y) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (fma.f64 y y #s(literal 0 binary64))) |
(/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (-.f64 x y)) (fma.f64 y y #s(literal 0 binary64))) |
(/.f64 (*.f64 (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y)) (+.f64 y y)) (fma.f64 y (+.f64 x y) (*.f64 x x))) |
(*.f64 (+.f64 y y) (-.f64 x y)) |
(*.f64 (+.f64 y y) (neg.f64 (-.f64 x y))) |
(*.f64 (-.f64 x y) (+.f64 y y)) |
(*.f64 #s(literal 2 binary64) (*.f64 y (-.f64 x y))) |
(*.f64 #s(literal -1 binary64) (*.f64 (+.f64 y y) (-.f64 x y))) |
(*.f64 (neg.f64 (-.f64 x y)) (+.f64 y y)) |
(*.f64 (*.f64 (-.f64 x y) #s(literal 2 binary64)) y) |
| 1× | egg-herbie |
| 16 108× | accelerator-lowering-fma.f32 |
| 16 108× | accelerator-lowering-fma.f64 |
| 3 698× | *-lowering-*.f32 |
| 3 698× | *-lowering-*.f64 |
| 1 732× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 132 | 1173 |
| 1 | 414 | 1113 |
| 2 | 1106 | 1113 |
| 3 | 4507 | 1077 |
| 0 | 8519 | 1041 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+ 1/2 (* 1/2 (/ x y))) |
(+ 1/2 (* 1/2 (/ x y))) |
(+ 1/2 (* 1/2 (/ x y))) |
(* 1/2 (/ x y)) |
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))) |
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))) |
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))) |
(* 1/2 (/ x y)) |
(* x (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))) |
(* x (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))) |
(* x (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))) |
(* 1/2 (/ x y)) |
(/ (+ (* 1/2 x) (* 1/2 y)) y) |
(/ (+ (* 1/2 x) (* 1/2 y)) y) |
(/ (+ (* 1/2 x) (* 1/2 y)) y) |
1/2 |
(+ 1/2 (* 1/2 (/ x y))) |
(+ 1/2 (* 1/2 (/ x y))) |
(+ 1/2 (* 1/2 (/ x y))) |
1/2 |
(+ 1/2 (* 1/2 (/ x y))) |
(+ 1/2 (* 1/2 (/ x y))) |
(+ 1/2 (* 1/2 (/ x y))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* 2 (* x y)) |
(* y (+ (* 2 x) (* 2 y))) |
(* y (+ (* 2 x) (* 2 y))) |
(* y (+ (* 2 x) (* 2 y))) |
(* 2 (pow y 2)) |
(* (pow y 2) (+ 2 (* 2 (/ x y)))) |
(* (pow y 2) (+ 2 (* 2 (/ x y)))) |
(* (pow y 2) (+ 2 (* 2 (/ x y)))) |
(* 2 (pow y 2)) |
(* (pow y 2) (+ 2 (* 2 (/ x y)))) |
(* (pow y 2) (+ 2 (* 2 (/ x y)))) |
(* (pow y 2) (+ 2 (* 2 (/ x y)))) |
(* 2 (pow y 2)) |
(+ (* 2 (* x y)) (* 2 (pow y 2))) |
(+ (* 2 (* x y)) (* 2 (pow y 2))) |
(+ (* 2 (* x y)) (* 2 (pow y 2))) |
(* 2 (* x y)) |
(* x (+ (* 2 y) (* 2 (/ (pow y 2) x)))) |
(* x (+ (* 2 y) (* 2 (/ (pow y 2) x)))) |
(* x (+ (* 2 y) (* 2 (/ (pow y 2) x)))) |
(* 2 (* x y)) |
(* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x))))) |
(* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x))))) |
(* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x))))) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
1/2 |
(+ 1/2 (* 1/2 (/ x y))) |
(+ 1/2 (* 1/2 (/ x y))) |
(+ 1/2 (* 1/2 (/ x y))) |
(* 1/2 (/ x y)) |
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))) |
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))) |
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))) |
(* 1/2 (/ x y)) |
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))) |
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))) |
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))) |
(* 1/2 (/ x y)) |
(/ (+ (* 1/2 x) (* 1/2 y)) y) |
(/ (+ (* 1/2 x) (* 1/2 y)) y) |
(/ (+ (* 1/2 x) (* 1/2 y)) y) |
1/2 |
(+ 1/2 (* 1/2 (/ x y))) |
(+ 1/2 (* 1/2 (/ x y))) |
(+ 1/2 (* 1/2 (/ x y))) |
1/2 |
(+ 1/2 (* 1/2 (/ x y))) |
(+ 1/2 (* 1/2 (/ x y))) |
(+ 1/2 (* 1/2 (/ x y))) |
(* -1 (pow y 2)) |
(+ (* -1 (pow y 2)) (* x (+ y (* -1 y)))) |
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y))))) |
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x)))) |
(pow x 2) |
(+ (* y (+ x (* -1 x))) (pow x 2)) |
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2)) |
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2)) |
(* -1 (pow y 2)) |
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1)) |
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1)) |
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1)) |
(* -1 (pow y 2)) |
(* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1)) |
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1)) |
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1)) |
(* -1 y) |
(- x y) |
(- x y) |
(- x y) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
x |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
x |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(* -1 y) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* 2 (* x y)) |
(* y (+ (* -2 y) (* 2 x))) |
(* y (+ (* -2 y) (* 2 x))) |
(* y (+ (* -2 y) (* 2 x))) |
(* -2 (pow y 2)) |
(* (pow y 2) (- (* 2 (/ x y)) 2)) |
(* (pow y 2) (- (* 2 (/ x y)) 2)) |
(* (pow y 2) (- (* 2 (/ x y)) 2)) |
(* -2 (pow y 2)) |
(* (pow y 2) (- (* 2 (/ x y)) 2)) |
(* (pow y 2) (- (* 2 (/ x y)) 2)) |
(* (pow y 2) (- (* 2 (/ x y)) 2)) |
(* -2 (pow y 2)) |
(+ (* -2 (pow y 2)) (* 2 (* x y))) |
(+ (* -2 (pow y 2)) (* 2 (* x y))) |
(+ (* -2 (pow y 2)) (* 2 (* x y))) |
(* 2 (* x y)) |
(* x (+ (* -2 (/ (pow y 2) x)) (* 2 y))) |
(* x (+ (* -2 (/ (pow y 2) x)) (* 2 y))) |
(* x (+ (* -2 (/ (pow y 2) x)) (* 2 y))) |
(* 2 (* x y)) |
(* -1 (* x (+ (* -2 y) (* 2 (/ (pow y 2) x))))) |
(* -1 (* x (+ (* -2 y) (* 2 (/ (pow y 2) x))))) |
(* -1 (* x (+ (* -2 y) (* 2 (/ (pow y 2) x))))) |
| Outputs |
|---|
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/2 (/ x y))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (/ x y))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (/ x y))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
(* 1/2 (/ x y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
(* 1/2 (/ x y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(* x (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
(* x (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
(* x (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
(* 1/2 (/ x y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(/ (+ (* 1/2 x) (* 1/2 y)) y) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
(/ (+ (* 1/2 x) (* 1/2 y)) y) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
(/ (+ (* 1/2 x) (* 1/2 y)) y) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/2 (/ x y))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (/ x y))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (/ x y))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/2 (/ x y))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (/ x y))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (/ x y))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(* 2 (* x y)) |
(*.f64 y (+.f64 x x)) |
(* y (+ (* 2 x) (* 2 y))) |
(*.f64 y (*.f64 #s(literal 2 binary64) (+.f64 x y))) |
(* y (+ (* 2 x) (* 2 y))) |
(*.f64 y (*.f64 #s(literal 2 binary64) (+.f64 x y))) |
(* y (+ (* 2 x) (* 2 y))) |
(*.f64 y (*.f64 #s(literal 2 binary64) (+.f64 x y))) |
(* 2 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 2 binary64))) |
(* (pow y 2) (+ 2 (* 2 (/ x y)))) |
(*.f64 y (*.f64 #s(literal 2 binary64) (+.f64 x y))) |
(* (pow y 2) (+ 2 (* 2 (/ x y)))) |
(*.f64 y (*.f64 #s(literal 2 binary64) (+.f64 x y))) |
(* (pow y 2) (+ 2 (* 2 (/ x y)))) |
(*.f64 y (*.f64 #s(literal 2 binary64) (+.f64 x y))) |
(* 2 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 2 binary64))) |
(* (pow y 2) (+ 2 (* 2 (/ x y)))) |
(*.f64 y (*.f64 #s(literal 2 binary64) (+.f64 x y))) |
(* (pow y 2) (+ 2 (* 2 (/ x y)))) |
(*.f64 y (*.f64 #s(literal 2 binary64) (+.f64 x y))) |
(* (pow y 2) (+ 2 (* 2 (/ x y)))) |
(*.f64 y (*.f64 #s(literal 2 binary64) (+.f64 x y))) |
(* 2 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 2 binary64))) |
(+ (* 2 (* x y)) (* 2 (pow y 2))) |
(*.f64 y (*.f64 #s(literal 2 binary64) (+.f64 x y))) |
(+ (* 2 (* x y)) (* 2 (pow y 2))) |
(*.f64 y (*.f64 #s(literal 2 binary64) (+.f64 x y))) |
(+ (* 2 (* x y)) (* 2 (pow y 2))) |
(*.f64 y (*.f64 #s(literal 2 binary64) (+.f64 x y))) |
(* 2 (* x y)) |
(*.f64 y (+.f64 x x)) |
(* x (+ (* 2 y) (* 2 (/ (pow y 2) x)))) |
(*.f64 y (*.f64 #s(literal 2 binary64) (+.f64 x y))) |
(* x (+ (* 2 y) (* 2 (/ (pow y 2) x)))) |
(*.f64 y (*.f64 #s(literal 2 binary64) (+.f64 x y))) |
(* x (+ (* 2 y) (* 2 (/ (pow y 2) x)))) |
(*.f64 y (*.f64 #s(literal 2 binary64) (+.f64 x y))) |
(* 2 (* x y)) |
(*.f64 y (+.f64 x x)) |
(* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x))))) |
(*.f64 y (*.f64 #s(literal 2 binary64) (+.f64 x y))) |
(* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x))))) |
(*.f64 y (*.f64 #s(literal 2 binary64) (+.f64 x y))) |
(* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x))))) |
(*.f64 y (*.f64 #s(literal 2 binary64) (+.f64 x y))) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
y |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
x |
(* x (+ 1 (/ y x))) |
(+.f64 x y) |
(* x (+ 1 (/ y x))) |
(+.f64 x y) |
(* x (+ 1 (/ y x))) |
(+.f64 x y) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 x y) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 x y) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 x y) |
x |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
y |
(* y (+ 1 (/ x y))) |
(+.f64 x y) |
(* y (+ 1 (/ x y))) |
(+.f64 x y) |
(* y (+ 1 (/ x y))) |
(+.f64 x y) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 x y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 x y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 x y) |
(* 1/2 (/ x y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(* 1/2 (/ x y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(* 1/2 (/ x y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(* 1/2 (/ x y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(* 1/2 (/ x y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(* 1/2 (/ x y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(* 1/2 (/ x y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(* 1/2 (/ x y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(* 1/2 (/ x y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(* 1/2 (/ x y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(* 1/2 (/ x y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(* 1/2 (/ x y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(* 1/2 (/ x y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(* 1/2 (/ x y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(* 1/2 (/ x y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(* 1/2 (/ x y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(* 1/2 (/ x y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(* 1/2 (/ x y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(* 1/2 (/ x y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(* 1/2 (/ x y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(* 1/2 (/ x y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(* 1/2 (/ x y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(* 1/2 (/ x y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(* 1/2 (/ x y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/2 (/ x y))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (/ x y))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (/ x y))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
(* 1/2 (/ x y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
(* 1/2 (/ x y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
(* 1/2 (/ x y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(/ (+ (* 1/2 x) (* 1/2 y)) y) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
(/ (+ (* 1/2 x) (* 1/2 y)) y) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
(/ (+ (* 1/2 x) (* 1/2 y)) y) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/2 (/ x y))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (/ x y))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (/ x y))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/2 (/ x y))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (/ x y))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (/ x y))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
(* -1 (pow y 2)) |
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) |
(+ (* -1 (pow y 2)) (* x (+ y (* -1 y)))) |
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) |
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y))))) |
(fma.f64 (+.f64 x y) (-.f64 x y) #s(literal 0 binary64)) |
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y))))) |
(fma.f64 (+.f64 x y) (-.f64 x y) #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) |
(fma.f64 x x #s(literal 0 binary64)) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) |
(fma.f64 (+.f64 x y) (-.f64 x y) #s(literal 0 binary64)) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) |
(fma.f64 (+.f64 x y) (-.f64 x y) #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) |
(fma.f64 x x #s(literal 0 binary64)) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x)))) |
(fma.f64 (+.f64 x y) (-.f64 x y) #s(literal 0 binary64)) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x)))) |
(fma.f64 (+.f64 x y) (-.f64 x y) #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(+ (* y (+ x (* -1 x))) (pow x 2)) |
(fma.f64 x x #s(literal 0 binary64)) |
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2)) |
(fma.f64 (+.f64 x y) (-.f64 x y) #s(literal 0 binary64)) |
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2)) |
(fma.f64 (+.f64 x y) (-.f64 x y) #s(literal 0 binary64)) |
(* -1 (pow y 2)) |
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) |
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1)) |
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) |
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1)) |
(fma.f64 (+.f64 x y) (-.f64 x y) #s(literal 0 binary64)) |
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1)) |
(fma.f64 (+.f64 x y) (-.f64 x y) #s(literal 0 binary64)) |
(* -1 (pow y 2)) |
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) |
(* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1)) |
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) |
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1)) |
(fma.f64 (+.f64 x y) (-.f64 x y) #s(literal 0 binary64)) |
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1)) |
(fma.f64 (+.f64 x y) (-.f64 x y) #s(literal 0 binary64)) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(- x y) |
(-.f64 x y) |
(- x y) |
(-.f64 x y) |
(- x y) |
(-.f64 x y) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(-.f64 x y) |
(* x (+ 1 (* -1 (/ y x)))) |
(-.f64 x y) |
(* x (+ 1 (* -1 (/ y x)))) |
(-.f64 x y) |
x |
(* -1 (* x (- (/ y x) 1))) |
(-.f64 x y) |
(* -1 (* x (- (/ y x) 1))) |
(-.f64 x y) |
(* -1 (* x (- (/ y x) 1))) |
(-.f64 x y) |
x |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* y (- (/ x y) 1)) |
(-.f64 x y) |
(* y (- (/ x y) 1)) |
(-.f64 x y) |
(* y (- (/ x y) 1)) |
(-.f64 x y) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 x y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 x y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 x y) |
(* 2 (* x y)) |
(*.f64 y (+.f64 x x)) |
(* y (+ (* -2 y) (* 2 x))) |
(*.f64 y (*.f64 #s(literal 2 binary64) (-.f64 x y))) |
(* y (+ (* -2 y) (* 2 x))) |
(*.f64 y (*.f64 #s(literal 2 binary64) (-.f64 x y))) |
(* y (+ (* -2 y) (* 2 x))) |
(*.f64 y (*.f64 #s(literal 2 binary64) (-.f64 x y))) |
(* -2 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal -2 binary64))) |
(* (pow y 2) (- (* 2 (/ x y)) 2)) |
(*.f64 y (*.f64 #s(literal 2 binary64) (-.f64 x y))) |
(* (pow y 2) (- (* 2 (/ x y)) 2)) |
(*.f64 y (*.f64 #s(literal 2 binary64) (-.f64 x y))) |
(* (pow y 2) (- (* 2 (/ x y)) 2)) |
(*.f64 y (*.f64 #s(literal 2 binary64) (-.f64 x y))) |
(* -2 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal -2 binary64))) |
(* (pow y 2) (- (* 2 (/ x y)) 2)) |
(*.f64 y (*.f64 #s(literal 2 binary64) (-.f64 x y))) |
(* (pow y 2) (- (* 2 (/ x y)) 2)) |
(*.f64 y (*.f64 #s(literal 2 binary64) (-.f64 x y))) |
(* (pow y 2) (- (* 2 (/ x y)) 2)) |
(*.f64 y (*.f64 #s(literal 2 binary64) (-.f64 x y))) |
(* -2 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal -2 binary64))) |
(+ (* -2 (pow y 2)) (* 2 (* x y))) |
(*.f64 y (*.f64 #s(literal 2 binary64) (-.f64 x y))) |
(+ (* -2 (pow y 2)) (* 2 (* x y))) |
(*.f64 y (*.f64 #s(literal 2 binary64) (-.f64 x y))) |
(+ (* -2 (pow y 2)) (* 2 (* x y))) |
(*.f64 y (*.f64 #s(literal 2 binary64) (-.f64 x y))) |
(* 2 (* x y)) |
(*.f64 y (+.f64 x x)) |
(* x (+ (* -2 (/ (pow y 2) x)) (* 2 y))) |
(*.f64 y (*.f64 #s(literal 2 binary64) (-.f64 x y))) |
(* x (+ (* -2 (/ (pow y 2) x)) (* 2 y))) |
(*.f64 y (*.f64 #s(literal 2 binary64) (-.f64 x y))) |
(* x (+ (* -2 (/ (pow y 2) x)) (* 2 y))) |
(*.f64 y (*.f64 #s(literal 2 binary64) (-.f64 x y))) |
(* 2 (* x y)) |
(*.f64 y (+.f64 x x)) |
(* -1 (* x (+ (* -2 y) (* 2 (/ (pow y 2) x))))) |
(*.f64 y (*.f64 #s(literal 2 binary64) (-.f64 x y))) |
(* -1 (* x (+ (* -2 y) (* 2 (/ (pow y 2) x))))) |
(*.f64 y (*.f64 #s(literal 2 binary64) (-.f64 x y))) |
(* -1 (* x (+ (* -2 y) (* 2 (/ (pow y 2) x))))) |
(*.f64 y (*.f64 #s(literal 2 binary64) (-.f64 x y))) |
Compiled 11 608 to 936 computations (91.9% saved)
9 alts after pruning (5 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 798 | 5 | 803 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 799 | 9 | 808 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 2.6% | (fma.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 y y) (+.f64 y y)) |
| ▶ | 3.8% | (fma.f64 (+.f64 y y) x (+.f64 y y)) |
| ✓ | 100.0% | (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
| ▶ | 99.8% | (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1/2 binary64)) |
| ✓ | 50.8% | (/.f64 x (+.f64 y y)) |
| ✓ | 4.5% | (*.f64 (+.f64 y y) (+.f64 x y)) |
| ▶ | 3.5% | (*.f64 (+.f64 y y) y) |
| ▶ | 3.8% | (*.f64 (+.f64 y y) x) |
| ✓ | 49.6% | #s(literal 1/2 binary64) |
Compiled 119 to 67 computations (43.7% saved)
| 1× | egg-herbie |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 y y) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 0 binary64) x) |
| ✓ | cost-diff | 192 | (fma.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 y y) (+.f64 y y)) |
| ✓ | cost-diff | 0 | (+.f64 y y) |
| ✓ | cost-diff | 0 | (fma.f64 (+.f64 y y) x (+.f64 y y)) |
| ✓ | cost-diff | -64 | (*.f64 (+.f64 y y) y) |
| ✓ | cost-diff | 0 | (+.f64 y y) |
| ✓ | cost-diff | -64 | (*.f64 (+.f64 y y) x) |
| ✓ | cost-diff | 0 | (+.f64 y y) |
| ✓ | cost-diff | 0 | (/.f64 y x) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 y x)) |
| 2 704× | accelerator-lowering-fma.f32 |
| 2 704× | accelerator-lowering-fma.f64 |
| 1 016× | *-lowering-*.f32 |
| 1 016× | *-lowering-*.f64 |
| 568× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 68 |
| 1 | 43 | 66 |
| 2 | 123 | 63 |
| 3 | 329 | 63 |
| 4 | 584 | 63 |
| 5 | 1170 | 63 |
| 6 | 1702 | 63 |
| 7 | 2535 | 63 |
| 8 | 3174 | 63 |
| 9 | 3411 | 63 |
| 10 | 3522 | 63 |
| 11 | 3539 | 63 |
| 12 | 3539 | 63 |
| 13 | 3559 | 63 |
| 14 | 3567 | 63 |
| 15 | 3567 | 63 |
| 0 | 3567 | 60 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+ (* 1/2 (/ 1 (/ y x))) 1/2) |
1/2 |
(/ 1 (/ y x)) |
1 |
(/ y x) |
y |
x |
(* (+ y y) x) |
(+ y y) |
y |
x |
(* (+ y y) y) |
(+ y y) |
y |
(+ (* (+ y y) x) (+ y y)) |
(+ y y) |
y |
x |
(+ (* (- 0 x) (+ y y)) (+ y y)) |
(- 0 x) |
0 |
x |
(+ y y) |
y |
| Outputs |
|---|
(+ (* 1/2 (/ 1 (/ y x))) 1/2) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(/ 1 (/ y x)) |
(/.f64 x y) |
1 |
#s(literal 1 binary64) |
(/ y x) |
(/.f64 y x) |
y |
x |
(* (+ y y) x) |
(fma.f64 x (+.f64 y y) #s(literal 0 binary64)) |
(+ y y) |
(+.f64 y y) |
y |
x |
(* (+ y y) y) |
(fma.f64 y (+.f64 y y) #s(literal 0 binary64)) |
(+ y y) |
(+.f64 y y) |
y |
(+ (* (+ y y) x) (+ y y)) |
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(+ y y) |
(+.f64 y y) |
y |
x |
(+ (* (- 0 x) (+ y y)) (+ y y)) |
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(- 0 x) |
(-.f64 #s(literal 0 binary64) x) |
0 |
#s(literal 0 binary64) |
x |
(+ y y) |
(+.f64 y y) |
y |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (fma.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 y y) (+.f64 y y)) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 0 binary64) x) |
| ✓ | accuracy | 100.0% | (+.f64 y y) |
| ✓ | accuracy | 100.0% | (fma.f64 (+.f64 y y) x (+.f64 y y)) |
| ✓ | accuracy | 100.0% | (+.f64 y y) |
| ✓ | accuracy | 100.0% | (+.f64 y y) |
| ✓ | accuracy | 100.0% | (*.f64 (+.f64 y y) y) |
| ✓ | accuracy | 100.0% | (+.f64 y y) |
| ✓ | accuracy | 100.0% | (*.f64 (+.f64 y y) x) |
| ✓ | accuracy | 100.0% | (/.f64 y x) |
| ✓ | accuracy | 100.0% | (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal 1 binary64) (/.f64 y x)) |
| 29.0ms | 256× | 0 | valid |
Compiled 73 to 18 computations (75.3% saved)
ival-add: 6.0ms (34.6% of total)ival-mult: 6.0ms (34.6% of total)ival-div: 4.0ms (23% of total)ival-sub: 1.0ms (5.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ 1 (/ y x))> |
#<alt (+ (* 1/2 (/ 1 (/ y x))) 1/2)> |
#<alt (/ y x)> |
#<alt (+ y y)> |
#<alt (* (+ y y) x)> |
#<alt (* (+ y y) y)> |
#<alt (+ (* (+ y y) x) (+ y y))> |
#<alt (+ (* (- 0 x) (+ y y)) (+ y y))> |
#<alt (- 0 x)> |
| Outputs |
|---|
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (* 1/2 (/ x y))> |
#<alt (/ (+ (* 1/2 x) (* 1/2 y)) y)> |
#<alt (/ (+ (* 1/2 x) (* 1/2 y)) y)> |
#<alt (/ (+ (* 1/2 x) (* 1/2 y)) y)> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/2 (/ x y)))> |
#<alt (+ 1/2 (* 1/2 (/ x y)))> |
#<alt (+ 1/2 (* 1/2 (/ x y)))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/2 (/ x y)))> |
#<alt (+ 1/2 (* 1/2 (/ x y)))> |
#<alt (+ 1/2 (* 1/2 (/ x y)))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/2 (/ x y)))> |
#<alt (+ 1/2 (* 1/2 (/ x y)))> |
#<alt (+ 1/2 (* 1/2 (/ x y)))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))> |
#<alt (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))> |
#<alt (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* x (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))> |
#<alt (* x (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))> |
#<alt (* x (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (pow y 2))> |
#<alt (* 2 (pow y 2))> |
#<alt (* 2 (pow y 2))> |
#<alt (* 2 (pow y 2))> |
#<alt (* 2 (pow y 2))> |
#<alt (* 2 (pow y 2))> |
#<alt (* 2 (pow y 2))> |
#<alt (* 2 (pow y 2))> |
#<alt (* 2 (pow y 2))> |
#<alt (* 2 (pow y 2))> |
#<alt (* 2 (pow y 2))> |
#<alt (* 2 (pow y 2))> |
#<alt (* y (+ 2 (* 2 x)))> |
#<alt (* y (+ 2 (* 2 x)))> |
#<alt (* y (+ 2 (* 2 x)))> |
#<alt (* y (+ 2 (* 2 x)))> |
#<alt (* y (+ 2 (* 2 x)))> |
#<alt (* y (+ 2 (* 2 x)))> |
#<alt (* y (+ 2 (* 2 x)))> |
#<alt (* y (+ 2 (* 2 x)))> |
#<alt (* -1 (* y (- (* -2 x) 2)))> |
#<alt (* -1 (* y (- (* -2 x) 2)))> |
#<alt (* -1 (* y (- (* -2 x) 2)))> |
#<alt (* -1 (* y (- (* -2 x) 2)))> |
#<alt (* 2 y)> |
#<alt (+ (* 2 y) (* 2 (* x y)))> |
#<alt (+ (* 2 y) (* 2 (* x y)))> |
#<alt (+ (* 2 y) (* 2 (* x y)))> |
#<alt (* 2 (* x y))> |
#<alt (* x (+ (* 2 y) (* 2 (/ y x))))> |
#<alt (* x (+ (* 2 y) (* 2 (/ y x))))> |
#<alt (* x (+ (* 2 y) (* 2 (/ y x))))> |
#<alt (* 2 (* x y))> |
#<alt (* -1 (* x (+ (* -2 y) (* -2 (/ y x)))))> |
#<alt (* -1 (* x (+ (* -2 y) (* -2 (/ y x)))))> |
#<alt (* -1 (* x (+ (* -2 y) (* -2 (/ y x)))))> |
#<alt (* 2 y)> |
#<alt (+ (* -2 (* x y)) (* 2 y))> |
#<alt (+ (* -2 (* x y)) (* 2 y))> |
#<alt (+ (* -2 (* x y)) (* 2 y))> |
#<alt (* -2 (* x y))> |
#<alt (* x (+ (* -2 y) (* 2 (/ y x))))> |
#<alt (* x (+ (* -2 y) (* 2 (/ y x))))> |
#<alt (* x (+ (* -2 y) (* 2 (/ y x))))> |
#<alt (* -2 (* x y))> |
#<alt (* -1 (* x (+ (* -2 (/ y x)) (* 2 y))))> |
#<alt (* -1 (* x (+ (* -2 (/ y x)) (* 2 y))))> |
#<alt (* -1 (* x (+ (* -2 (/ y x)) (* 2 y))))> |
#<alt (* y (+ 2 (* -2 x)))> |
#<alt (* y (+ 2 (* -2 x)))> |
#<alt (* y (+ 2 (* -2 x)))> |
#<alt (* y (+ 2 (* -2 x)))> |
#<alt (* y (+ 2 (* -2 x)))> |
#<alt (* y (+ 2 (* -2 x)))> |
#<alt (* y (+ 2 (* -2 x)))> |
#<alt (* y (+ 2 (* -2 x)))> |
#<alt (* -1 (* y (- (* 2 x) 2)))> |
#<alt (* -1 (* y (- (* 2 x) 2)))> |
#<alt (* -1 (* y (- (* 2 x) 2)))> |
#<alt (* -1 (* y (- (* 2 x) 2)))> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
45 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | -inf | (* (+ y y) x) |
| 0.0ms | y | @ | 0 | (* (+ y y) y) |
| 0.0ms | y | @ | -inf | (/ y x) |
| 0.0ms | x | @ | 0 | (/ y x) |
| 0.0ms | y | @ | inf | (* (+ y y) y) |
| 1× | batch-egg-rewrite |
| 1 066× | accelerator-lowering-fma.f32 |
| 1 066× | accelerator-lowering-fma.f64 |
| 430× | *-lowering-*.f32 |
| 430× | *-lowering-*.f64 |
| 372× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 32 |
| 1 | 115 | 30 |
| 0 | 1167 | 29 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (/ y x)) |
(+ (* 1/2 (/ 1 (/ y x))) 1/2) |
(/ y x) |
(+ y y) |
(* (+ y y) x) |
(* (+ y y) y) |
(+ (* (+ y y) x) (+ y y)) |
(+ (* (- 0 x) (+ y y)) (+ y y)) |
(- 0 x) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y x))) |
(/.f64 #s(literal 1 binary64) (/.f64 y x)) |
(/.f64 x y) |
(/.f64 #s(literal -1 binary64) (/.f64 y (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) y)) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 #s(literal 1 binary64) x) y) |
(pow.f64 (/.f64 y x) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 x y)) |
(*.f64 x (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 x y) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 0 binary64) x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) x) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) x)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 (*.f64 (/.f64 x y) (*.f64 (/.f64 x y) #s(literal 1/4 binary64))) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (/.f64 x y) (*.f64 (/.f64 x y) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) (*.f64 (/.f64 x y) #s(literal 1/4 binary64))) (fma.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (*.f64 (/.f64 x y) (*.f64 (/.f64 x y) #s(literal 1/4 binary64))) #s(literal 1/8 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (fma.f64 (/.f64 x y) (*.f64 (/.f64 x y) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)))) |
(/.f64 (fma.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (*.f64 (/.f64 x y) (*.f64 (/.f64 x y) #s(literal 1/4 binary64))) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (/.f64 x y) (*.f64 (/.f64 x y) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) (*.f64 (/.f64 x y) #s(literal 1/4 binary64)))) |
(/.f64 (fma.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (*.f64 (/.f64 x y) (*.f64 (/.f64 x y) #s(literal 1/4 binary64))) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (/.f64 x y) (*.f64 (/.f64 x y) #s(literal 1/4 binary64))) (*.f64 (/.f64 x y) #s(literal 1/4 binary64))))) |
(/.f64 (fma.f64 (/.f64 x y) (*.f64 (/.f64 x y) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (*.f64 (/.f64 x y) (*.f64 (/.f64 x y) #s(literal 1/4 binary64))) #s(literal 1/8 binary64))) (neg.f64 (-.f64 (fma.f64 (/.f64 x y) (*.f64 (/.f64 x y) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) (*.f64 (/.f64 x y) #s(literal 1/4 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 x y) (*.f64 (/.f64 x y) #s(literal 1/4 binary64)) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 x y) (*.f64 (/.f64 x y) #s(literal 1/4 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (*.f64 (/.f64 x y) (*.f64 (/.f64 x y) #s(literal 1/4 binary64))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (/.f64 x y) (*.f64 (/.f64 x y) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) (*.f64 (/.f64 x y) #s(literal 1/4 binary64))))) |
(*.f64 (fma.f64 (/.f64 x y) (*.f64 (/.f64 x y) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(neg.f64 (/.f64 y (-.f64 #s(literal 0 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 x y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x y) #s(literal 1 binary64))) |
(/.f64 y x) |
(/.f64 y (*.f64 #s(literal 1 binary64) x)) |
(/.f64 (/.f64 y x) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x y))) |
(/.f64 (/.f64 y (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y)) (neg.f64 (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (*.f64 y #s(literal 1 binary64)) x) |
(pow.f64 (/.f64 x y) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 y x)) |
(*.f64 y (/.f64 #s(literal 1 binary64) x)) |
(*.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(*.f64 (/.f64 y x) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) y) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (fma.f64 x x #s(literal 0 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) x) |
(+.f64 y y) |
(+.f64 y (+.f64 y (neg.f64 (+.f64 y y)))) |
(+.f64 y (fma.f64 y #s(literal 2 binary64) y)) |
(+.f64 (+.f64 y y) (+.f64 y y)) |
(+.f64 (+.f64 y y) (neg.f64 (+.f64 y y))) |
(+.f64 (+.f64 y y) (*.f64 #s(literal -2 binary64) y)) |
(+.f64 (neg.f64 (+.f64 y y)) (+.f64 y y)) |
(+.f64 (*.f64 y y) (*.f64 y y)) |
(+.f64 (neg.f64 (*.f64 x y)) (fma.f64 y (-.f64 #s(literal 0 binary64) x) (+.f64 y y))) |
(+.f64 (+.f64 y (neg.f64 (+.f64 y y))) y) |
(+.f64 (fma.f64 y #s(literal 2 binary64) y) y) |
(+.f64 (*.f64 x y) (*.f64 x y)) |
(+.f64 (*.f64 y x) (*.f64 y x)) |
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) y) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) y)) |
(+.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))) (*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))) |
(+.f64 (fma.f64 y #s(literal 2 binary64) (neg.f64 (*.f64 x y))) (neg.f64 (*.f64 x y))) |
(exp.f64 (*.f64 (log.f64 (+.f64 y y)) #s(literal 3 binary64))) |
(-.f64 (+.f64 y y) (+.f64 y y)) |
(-.f64 (/.f64 (*.f64 y y) #s(literal 0 binary64)) (/.f64 (*.f64 y y) #s(literal 0 binary64))) |
(-.f64 (/.f64 (*.f64 (neg.f64 (+.f64 y y)) (-.f64 #s(literal 0 binary64) x)) (-.f64 (neg.f64 (+.f64 y y)) (+.f64 y y))) (/.f64 (+.f64 y y) (-.f64 (neg.f64 (+.f64 y y)) (+.f64 y y)))) |
(-.f64 (-.f64 (+.f64 y y) y) y) |
(fma.f64 y y (*.f64 y y)) |
(fma.f64 y x (*.f64 y x)) |
(fma.f64 y (+.f64 y y) (+.f64 y y)) |
(fma.f64 y (+.f64 y y) (neg.f64 (+.f64 y y))) |
(fma.f64 y (+.f64 y y) (*.f64 #s(literal -2 binary64) y)) |
(fma.f64 y (-.f64 #s(literal 0 binary64) x) (fma.f64 y (-.f64 #s(literal 0 binary64) x) (+.f64 y y))) |
(fma.f64 y (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))) |
(fma.f64 y #s(literal 2 binary64) (+.f64 y y)) |
(fma.f64 y #s(literal 2 binary64) (neg.f64 (+.f64 y y))) |
(fma.f64 y #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) y)) |
(fma.f64 y (+.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x)) (+.f64 y y)) |
(fma.f64 x y (*.f64 x y)) |
(fma.f64 x (+.f64 y y) (+.f64 y y)) |
(fma.f64 x (+.f64 y y) (neg.f64 (+.f64 y y))) |
(fma.f64 x (+.f64 y y) (*.f64 #s(literal -2 binary64) y)) |
(fma.f64 (+.f64 y y) y (+.f64 y y)) |
(fma.f64 (+.f64 y y) y (neg.f64 (+.f64 y y))) |
(fma.f64 (+.f64 y y) y (*.f64 #s(literal -2 binary64) y)) |
(fma.f64 (+.f64 y y) x (+.f64 y y)) |
(fma.f64 (+.f64 y y) x (neg.f64 (+.f64 y y))) |
(fma.f64 (+.f64 y y) x (*.f64 #s(literal -2 binary64) y)) |
(fma.f64 (+.f64 y y) (+.f64 y y) (+.f64 y y)) |
(fma.f64 (+.f64 y y) (+.f64 y y) (neg.f64 (+.f64 y y))) |
(fma.f64 (+.f64 y y) (+.f64 y y) (*.f64 #s(literal -2 binary64) y)) |
(fma.f64 (+.f64 y y) (neg.f64 (+.f64 y y)) (+.f64 y y)) |
(fma.f64 (+.f64 y y) (-.f64 #s(literal 0 binary64) x) (+.f64 y y)) |
(fma.f64 (+.f64 y y) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (+.f64 y y)) |
(fma.f64 (+.f64 y y) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (neg.f64 (+.f64 y y))) |
(fma.f64 (+.f64 y y) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 #s(literal -2 binary64) y)) |
(fma.f64 (+.f64 y y) (fma.f64 x x #s(literal 0 binary64)) (+.f64 y y)) |
(fma.f64 (+.f64 y y) (fma.f64 x x #s(literal 0 binary64)) (neg.f64 (+.f64 y y))) |
(fma.f64 (+.f64 y y) (fma.f64 x x #s(literal 0 binary64)) (*.f64 #s(literal -2 binary64) y)) |
(fma.f64 (+.f64 y y) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (+.f64 y y)) |
(fma.f64 (+.f64 y y) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (neg.f64 (+.f64 y y))) |
(fma.f64 (+.f64 y y) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (*.f64 #s(literal -2 binary64) y)) |
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (+.f64 y y)) |
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (neg.f64 (+.f64 y y))) |
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (*.f64 #s(literal -2 binary64) y)) |
(fma.f64 (neg.f64 (+.f64 y y)) (+.f64 y y) (+.f64 y y)) |
(fma.f64 (-.f64 #s(literal 0 binary64) x) y (fma.f64 y (-.f64 #s(literal 0 binary64) x) (+.f64 y y))) |
(fma.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 y y) (+.f64 y y)) |
(fma.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (+.f64 y y)) |
(fma.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (neg.f64 (+.f64 y y))) |
(fma.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (*.f64 #s(literal -2 binary64) y)) |
(fma.f64 (fma.f64 (neg.f64 (+.f64 y y)) (*.f64 (neg.f64 (+.f64 y y)) (-.f64 #s(literal 0 binary64) x)) (+.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (neg.f64 (+.f64 y y)) (-.f64 #s(literal 0 binary64) x) (+.f64 y y)) (neg.f64 (+.f64 y y)))) (+.f64 y y)) |
(fma.f64 (fma.f64 (neg.f64 (+.f64 y y)) (*.f64 (neg.f64 (+.f64 y y)) (-.f64 #s(literal 0 binary64) x)) (+.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (neg.f64 (+.f64 y y)) (-.f64 #s(literal 0 binary64) x) (+.f64 y y)) (neg.f64 (+.f64 y y)))) (neg.f64 (+.f64 y y))) |
(fma.f64 (fma.f64 (neg.f64 (+.f64 y y)) (*.f64 (neg.f64 (+.f64 y y)) (-.f64 #s(literal 0 binary64) x)) (+.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (neg.f64 (+.f64 y y)) (-.f64 #s(literal 0 binary64) x) (+.f64 y y)) (neg.f64 (+.f64 y y)))) (*.f64 #s(literal -2 binary64) y)) |
(fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (+.f64 y y) (+.f64 y y)) |
(fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (+.f64 y y) (neg.f64 (+.f64 y y))) |
(fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (+.f64 y y) (*.f64 #s(literal -2 binary64) y)) |
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(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x)) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x))) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) x)) |
| 1× | egg-herbie |
| 4 386× | accelerator-lowering-fma.f32 |
| 4 386× | accelerator-lowering-fma.f64 |
| 2 704× | *-lowering-*.f32 |
| 2 704× | *-lowering-*.f64 |
| 1 222× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 848 |
| 1 | 163 | 848 |
| 2 | 361 | 848 |
| 3 | 673 | 848 |
| 4 | 1630 | 848 |
| 5 | 3597 | 848 |
| 6 | 4920 | 848 |
| 7 | 6678 | 848 |
| 0 | 8129 | 788 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* 1/2 (/ x y)) |
(/ (+ (* 1/2 x) (* 1/2 y)) y) |
(/ (+ (* 1/2 x) (* 1/2 y)) y) |
(/ (+ (* 1/2 x) (* 1/2 y)) y) |
1/2 |
(+ 1/2 (* 1/2 (/ x y))) |
(+ 1/2 (* 1/2 (/ x y))) |
(+ 1/2 (* 1/2 (/ x y))) |
1/2 |
(+ 1/2 (* 1/2 (/ x y))) |
(+ 1/2 (* 1/2 (/ x y))) |
(+ 1/2 (* 1/2 (/ x y))) |
1/2 |
(+ 1/2 (* 1/2 (/ x y))) |
(+ 1/2 (* 1/2 (/ x y))) |
(+ 1/2 (* 1/2 (/ x y))) |
(* 1/2 (/ x y)) |
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))) |
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))) |
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))) |
(* 1/2 (/ x y)) |
(* x (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))) |
(* x (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))) |
(* x (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (pow y 2)) |
(* 2 (pow y 2)) |
(* 2 (pow y 2)) |
(* 2 (pow y 2)) |
(* 2 (pow y 2)) |
(* 2 (pow y 2)) |
(* 2 (pow y 2)) |
(* 2 (pow y 2)) |
(* 2 (pow y 2)) |
(* 2 (pow y 2)) |
(* 2 (pow y 2)) |
(* 2 (pow y 2)) |
(* y (+ 2 (* 2 x))) |
(* y (+ 2 (* 2 x))) |
(* y (+ 2 (* 2 x))) |
(* y (+ 2 (* 2 x))) |
(* y (+ 2 (* 2 x))) |
(* y (+ 2 (* 2 x))) |
(* y (+ 2 (* 2 x))) |
(* y (+ 2 (* 2 x))) |
(* -1 (* y (- (* -2 x) 2))) |
(* -1 (* y (- (* -2 x) 2))) |
(* -1 (* y (- (* -2 x) 2))) |
(* -1 (* y (- (* -2 x) 2))) |
(* 2 y) |
(+ (* 2 y) (* 2 (* x y))) |
(+ (* 2 y) (* 2 (* x y))) |
(+ (* 2 y) (* 2 (* x y))) |
(* 2 (* x y)) |
(* x (+ (* 2 y) (* 2 (/ y x)))) |
(* x (+ (* 2 y) (* 2 (/ y x)))) |
(* x (+ (* 2 y) (* 2 (/ y x)))) |
(* 2 (* x y)) |
(* -1 (* x (+ (* -2 y) (* -2 (/ y x))))) |
(* -1 (* x (+ (* -2 y) (* -2 (/ y x))))) |
(* -1 (* x (+ (* -2 y) (* -2 (/ y x))))) |
(* 2 y) |
(+ (* -2 (* x y)) (* 2 y)) |
(+ (* -2 (* x y)) (* 2 y)) |
(+ (* -2 (* x y)) (* 2 y)) |
(* -2 (* x y)) |
(* x (+ (* -2 y) (* 2 (/ y x)))) |
(* x (+ (* -2 y) (* 2 (/ y x)))) |
(* x (+ (* -2 y) (* 2 (/ y x)))) |
(* -2 (* x y)) |
(* -1 (* x (+ (* -2 (/ y x)) (* 2 y)))) |
(* -1 (* x (+ (* -2 (/ y x)) (* 2 y)))) |
(* -1 (* x (+ (* -2 (/ y x)) (* 2 y)))) |
(* y (+ 2 (* -2 x))) |
(* y (+ 2 (* -2 x))) |
(* y (+ 2 (* -2 x))) |
(* y (+ 2 (* -2 x))) |
(* y (+ 2 (* -2 x))) |
(* y (+ 2 (* -2 x))) |
(* y (+ 2 (* -2 x))) |
(* y (+ 2 (* -2 x))) |
(* -1 (* y (- (* 2 x) 2))) |
(* -1 (* y (- (* 2 x) 2))) |
(* -1 (* y (- (* 2 x) 2))) |
(* -1 (* y (- (* 2 x) 2))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
| Outputs |
|---|
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(/ (+ (* 1/2 x) (* 1/2 y)) y) |
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) |
(/ (+ (* 1/2 x) (* 1/2 y)) y) |
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) |
(/ (+ (* 1/2 x) (* 1/2 y)) y) |
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/2 (/ x y))) |
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (/ x y))) |
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (/ x y))) |
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/2 (/ x y))) |
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (/ x y))) |
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (/ x y))) |
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/2 (/ x y))) |
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (/ x y))) |
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (/ x y))) |
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))) |
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) |
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))) |
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) |
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))) |
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* x (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))) |
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) |
(* x (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))) |
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) |
(* x (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))) |
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(* 2 y) |
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) |
(* 2 y) |
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) |
(* 2 y) |
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) |
(* 2 y) |
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) |
(* 2 y) |
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) |
(* 2 y) |
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) |
(* 2 y) |
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) |
(* 2 y) |
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) |
(* 2 y) |
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) |
(* 2 y) |
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) |
(* 2 y) |
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) |
(* 2 y) |
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) |
(* 2 (* x y)) |
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (* x y)) |
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (* x y)) |
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (* x y)) |
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (* x y)) |
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (* x y)) |
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (* x y)) |
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (* x y)) |
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (* x y)) |
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (* x y)) |
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (* x y)) |
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (* x y)) |
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (* x y)) |
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (* x y)) |
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (* x y)) |
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (* x y)) |
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (* x y)) |
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (* x y)) |
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (* x y)) |
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (* x y)) |
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (* x y)) |
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (* x y)) |
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (* x y)) |
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (* x y)) |
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (pow y 2)) |
(fma.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (pow y 2)) |
(fma.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (pow y 2)) |
(fma.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (pow y 2)) |
(fma.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (pow y 2)) |
(fma.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (pow y 2)) |
(fma.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (pow y 2)) |
(fma.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (pow y 2)) |
(fma.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (pow y 2)) |
(fma.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (pow y 2)) |
(fma.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (pow y 2)) |
(fma.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (pow y 2)) |
(fma.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* y (+ 2 (* 2 x))) |
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* y (+ 2 (* 2 x))) |
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* y (+ 2 (* 2 x))) |
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* y (+ 2 (* 2 x))) |
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* y (+ 2 (* 2 x))) |
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* y (+ 2 (* 2 x))) |
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* y (+ 2 (* 2 x))) |
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* y (+ 2 (* 2 x))) |
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* -1 (* y (- (* -2 x) 2))) |
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* -1 (* y (- (* -2 x) 2))) |
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* -1 (* y (- (* -2 x) 2))) |
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* -1 (* y (- (* -2 x) 2))) |
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* 2 y) |
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) |
(+ (* 2 y) (* 2 (* x y))) |
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(+ (* 2 y) (* 2 (* x y))) |
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(+ (* 2 y) (* 2 (* x y))) |
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* 2 (* x y)) |
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* x (+ (* 2 y) (* 2 (/ y x)))) |
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* x (+ (* 2 y) (* 2 (/ y x)))) |
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* x (+ (* 2 y) (* 2 (/ y x)))) |
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* 2 (* x y)) |
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* -1 (* x (+ (* -2 y) (* -2 (/ y x))))) |
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* -1 (* x (+ (* -2 y) (* -2 (/ y x))))) |
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* -1 (* x (+ (* -2 y) (* -2 (/ y x))))) |
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* 2 y) |
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) |
(+ (* -2 (* x y)) (* 2 y)) |
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(+ (* -2 (* x y)) (* 2 y)) |
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(+ (* -2 (* x y)) (* 2 y)) |
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* -2 (* x y)) |
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* x (+ (* -2 y) (* 2 (/ y x)))) |
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* x (+ (* -2 y) (* 2 (/ y x)))) |
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* x (+ (* -2 y) (* 2 (/ y x)))) |
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* -2 (* x y)) |
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* -1 (* x (+ (* -2 (/ y x)) (* 2 y)))) |
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* -1 (* x (+ (* -2 (/ y x)) (* 2 y)))) |
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* -1 (* x (+ (* -2 (/ y x)) (* 2 y)))) |
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* y (+ 2 (* -2 x))) |
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* y (+ 2 (* -2 x))) |
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* y (+ 2 (* -2 x))) |
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* y (+ 2 (* -2 x))) |
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* y (+ 2 (* -2 x))) |
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* y (+ 2 (* -2 x))) |
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* y (+ 2 (* -2 x))) |
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* y (+ 2 (* -2 x))) |
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* -1 (* y (- (* 2 x) 2))) |
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* -1 (* y (- (* 2 x) 2))) |
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* -1 (* y (- (* 2 x) 2))) |
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* -1 (* y (- (* 2 x) 2))) |
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
Compiled 29 728 to 1 592 computations (94.6% saved)
14 alts after pruning (7 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 102 | 7 | 2 109 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 4 | 4 |
| Total | 2 104 | 14 | 2 118 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 2.6% | (fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64)) |
| ▶ | 3.1% | (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y)) |
| ✓ | 100.0% | (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
| ✓ | 99.8% | (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1/2 binary64)) |
| ✓ | 50.8% | (/.f64 x (+.f64 y y)) |
| ▶ | 3.1% | (+.f64 y y) |
| ✓ | 4.5% | (*.f64 (+.f64 y y) (+.f64 x y)) |
| ✓ | 3.5% | (*.f64 (+.f64 y y) y) |
| ✓ | 3.8% | (*.f64 (+.f64 y y) x) |
| 2.5% | (*.f64 (*.f64 (+.f64 y y) y) y) | |
| ▶ | 5.6% | (*.f64 (*.f64 (+.f64 y y) x) x) |
| 3.8% | (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y)) x) | |
| ▶ | 3.1% | (*.f64 #s(literal 2 binary64) (+.f64 y y)) |
| ✓ | 49.6% | #s(literal 1/2 binary64) |
Compiled 167 to 104 computations (37.7% saved)
| 1× | egg-herbie |
Found 10 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 y y) |
| ✓ | cost-diff | 384 | (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y)) |
| ✓ | cost-diff | 0 | (+.f64 y y) |
| ✓ | cost-diff | 128 | (*.f64 #s(literal 2 binary64) (+.f64 y y)) |
| ✓ | cost-diff | 0 | (+.f64 y y) |
| ✓ | cost-diff | -64 | (*.f64 (+.f64 y y) x) |
| ✓ | cost-diff | 0 | (+.f64 y y) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 (+.f64 y y) x) x) |
| 370× | accelerator-lowering-fma.f32 |
| 370× | accelerator-lowering-fma.f64 |
| 202× | *-lowering-*.f32 |
| 202× | *-lowering-*.f64 |
| 118× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 58 |
| 1 | 40 | 54 |
| 2 | 104 | 54 |
| 3 | 163 | 54 |
| 4 | 213 | 54 |
| 5 | 286 | 54 |
| 6 | 288 | 54 |
| 7 | 359 | 54 |
| 8 | 359 | 54 |
| 0 | 359 | 52 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* (* (+ y y) x) x) |
(* (+ y y) x) |
(+ y y) |
y |
x |
(+ y y) |
y |
(* 2 (+ y y)) |
2 |
(+ y y) |
y |
(+ (* 2 (+ y y)) (+ y y)) |
2 |
(+ y y) |
y |
(+ (* y (+ (* x -2) 2)) 0) |
y |
(+ (* x -2) 2) |
x |
-2 |
2 |
0 |
| Outputs |
|---|
(* (* (+ y y) x) x) |
(fma.f64 y (*.f64 x (+.f64 x x)) #s(literal 0 binary64)) |
(* (+ y y) x) |
(fma.f64 y (+.f64 x x) #s(literal 0 binary64)) |
(+ y y) |
(+.f64 y y) |
y |
x |
(+ y y) |
(+.f64 y y) |
y |
(* 2 (+ y y)) |
(fma.f64 y #s(literal 4 binary64) #s(literal 0 binary64)) |
2 |
#s(literal 2 binary64) |
(+ y y) |
(+.f64 y y) |
y |
(+ (* 2 (+ y y)) (+ y y)) |
(fma.f64 y #s(literal 6 binary64) #s(literal 0 binary64)) |
2 |
#s(literal 2 binary64) |
(+ y y) |
(+.f64 y y) |
y |
(+ (* y (+ (* x -2) 2)) 0) |
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64)) |
y |
(+ (* x -2) 2) |
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) |
x |
-2 |
#s(literal -2 binary64) |
2 |
#s(literal 2 binary64) |
0 |
#s(literal 0 binary64) |
Found 10 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y)) |
| ✓ | accuracy | 100.0% | (+.f64 y y) |
| ✓ | accuracy | 100.0% | (+.f64 y y) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 2 binary64) (+.f64 y y)) |
| ✓ | accuracy | 100.0% | (+.f64 y y) |
| ✓ | accuracy | 100.0% | (+.f64 y y) |
| ✓ | accuracy | 100.0% | (*.f64 (+.f64 y y) x) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 (+.f64 y y) x) x) |
| 23.0ms | 256× | 0 | valid |
Compiled 62 to 16 computations (74.2% saved)
ival-mult: 7.0ms (57.1% of total)ival-add: 4.0ms (32.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (* (+ y y) x) x)> |
#<alt (+ y y)> |
#<alt (* (+ y y) x)> |
#<alt (* 2 (+ y y))> |
#<alt (+ (* 2 (+ y y)) (+ y y))> |
#<alt (+ (* y (+ (* x -2) 2)) 0)> |
#<alt (+ (* x -2) 2)> |
| Outputs |
|---|
#<alt (* 2 (* (pow x 2) y))> |
#<alt (* 2 (* (pow x 2) y))> |
#<alt (* 2 (* (pow x 2) y))> |
#<alt (* 2 (* (pow x 2) y))> |
#<alt (* 2 (* (pow x 2) y))> |
#<alt (* 2 (* (pow x 2) y))> |
#<alt (* 2 (* (pow x 2) y))> |
#<alt (* 2 (* (pow x 2) y))> |
#<alt (* 2 (* (pow x 2) y))> |
#<alt (* 2 (* (pow x 2) y))> |
#<alt (* 2 (* (pow x 2) y))> |
#<alt (* 2 (* (pow x 2) y))> |
#<alt (* 2 (* (pow x 2) y))> |
#<alt (* 2 (* (pow x 2) y))> |
#<alt (* 2 (* (pow x 2) y))> |
#<alt (* 2 (* (pow x 2) y))> |
#<alt (* 2 (* (pow x 2) y))> |
#<alt (* 2 (* (pow x 2) y))> |
#<alt (* 2 (* (pow x 2) y))> |
#<alt (* 2 (* (pow x 2) y))> |
#<alt (* 2 (* (pow x 2) y))> |
#<alt (* 2 (* (pow x 2) y))> |
#<alt (* 2 (* (pow x 2) y))> |
#<alt (* 2 (* (pow x 2) y))> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 2 (* x y))> |
#<alt (* 4 y)> |
#<alt (* 4 y)> |
#<alt (* 4 y)> |
#<alt (* 4 y)> |
#<alt (* 4 y)> |
#<alt (* 4 y)> |
#<alt (* 4 y)> |
#<alt (* 4 y)> |
#<alt (* 4 y)> |
#<alt (* 4 y)> |
#<alt (* 4 y)> |
#<alt (* 4 y)> |
#<alt (* 6 y)> |
#<alt (* 6 y)> |
#<alt (* 6 y)> |
#<alt (* 6 y)> |
#<alt (* 6 y)> |
#<alt (* 6 y)> |
#<alt (* 6 y)> |
#<alt (* 6 y)> |
#<alt (* 6 y)> |
#<alt (* 6 y)> |
#<alt (* 6 y)> |
#<alt (* 6 y)> |
#<alt (* y (+ 2 (* -2 x)))> |
#<alt (* y (+ 2 (* -2 x)))> |
#<alt (* y (+ 2 (* -2 x)))> |
#<alt (* y (+ 2 (* -2 x)))> |
#<alt (* y (+ 2 (* -2 x)))> |
#<alt (* y (+ 2 (* -2 x)))> |
#<alt (* y (+ 2 (* -2 x)))> |
#<alt (* y (+ 2 (* -2 x)))> |
#<alt (* y (+ 2 (* -2 x)))> |
#<alt (* y (+ 2 (* -2 x)))> |
#<alt (* y (+ 2 (* -2 x)))> |
#<alt (* y (+ 2 (* -2 x)))> |
#<alt (* 2 y)> |
#<alt (+ (* -2 (* x y)) (* 2 y))> |
#<alt (+ (* -2 (* x y)) (* 2 y))> |
#<alt (+ (* -2 (* x y)) (* 2 y))> |
#<alt (* -2 (* x y))> |
#<alt (* x (+ (* -2 y) (* 2 (/ y x))))> |
#<alt (* x (+ (* -2 y) (* 2 (/ y x))))> |
#<alt (* x (+ (* -2 y) (* 2 (/ y x))))> |
#<alt (* -2 (* x y))> |
#<alt (* -1 (* x (+ (* -2 (/ y x)) (* 2 y))))> |
#<alt (* -1 (* x (+ (* -2 (/ y x)) (* 2 y))))> |
#<alt (* -1 (* x (+ (* -2 (/ y x)) (* 2 y))))> |
#<alt 2> |
#<alt (+ 2 (* -2 x))> |
#<alt (+ 2 (* -2 x))> |
#<alt (+ 2 (* -2 x))> |
#<alt (* -2 x)> |
#<alt (* x (- (* 2 (/ 1 x)) 2))> |
#<alt (* x (- (* 2 (/ 1 x)) 2))> |
#<alt (* x (- (* 2 (/ 1 x)) 2))> |
#<alt (* -2 x)> |
#<alt (* -1 (* x (- 2 (* 2 (/ 1 x)))))> |
#<alt (* -1 (* x (- 2 (* 2 (/ 1 x)))))> |
#<alt (* -1 (* x (- 2 (* 2 (/ 1 x)))))> |
30 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (* (* (+ y y) x) x) |
| 1.0ms | y | @ | 0 | (+ (* y (+ (* x -2) 2)) 0) |
| 0.0ms | y | @ | inf | (* (* (+ y y) x) x) |
| 0.0ms | y | @ | -inf | (+ (* y (+ (* x -2) 2)) 0) |
| 0.0ms | x | @ | 0 | (* (* (+ y y) x) x) |
| 1× | batch-egg-rewrite |
| 5 072× | accelerator-lowering-fma.f32 |
| 5 072× | accelerator-lowering-fma.f64 |
| 3 872× | *-lowering-*.f32 |
| 3 872× | *-lowering-*.f64 |
| 1 574× | pow-lowering-pow.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 47 |
| 1 | 86 | 37 |
| 2 | 891 | 15 |
| 3 | 5189 | 15 |
| 0 | 8978 | 14 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (* (+ y y) x) x) |
(+ y y) |
(* (+ y y) x) |
(* 2 (+ y y)) |
(+ (* 2 (+ y y)) (+ y y)) |
(+ (* y (+ (* x -2) 2)) 0) |
(+ (* x -2) 2) |
| Outputs |
|---|
#s(literal 0 binary64) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
(+.f64 y (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 1 binary64)) y)) |
(+.f64 (fma.f64 y (*.f64 x #s(literal -2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 x #s(literal -2 binary64)) #s(literal 0 binary64))) |
(+.f64 (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 1 binary64)) y) y) |
(+.f64 (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 1 binary64)) y) (-.f64 y #s(literal 0 binary64))) |
(+.f64 (neg.f64 (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 1 binary64)) y)) (-.f64 #s(literal 0 binary64) y)) |
(+.f64 (+.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 1 binary64)) y)) y) |
(exp.f64 (log.f64 (fma.f64 y (*.f64 x #s(literal -2 binary64)) #s(literal 0 binary64)))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 y (*.f64 x #s(literal -2 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 (fma.f64 y (*.f64 x #s(literal -2 binary64)) #s(literal 0 binary64)))) #s(literal -1 binary64))) |
(-.f64 (fma.f64 y (*.f64 x #s(literal -2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(-.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 x #s(literal -2 binary64)) #s(literal 0 binary64))) |
(-.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 1 binary64)) y)) y) |
(fma.f64 y (*.f64 x #s(literal -2 binary64)) #s(literal 0 binary64)) |
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(fma.f64 y (neg.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))) #s(literal 0 binary64)) |
(fma.f64 y (/.f64 (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))) (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))) #s(literal 0 binary64)) |
(fma.f64 y (/.f64 (fma.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) (fma.f64 y (*.f64 x #s(literal -2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (*.f64 x #s(literal -2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) |
(fma.f64 y (*.f64 (fma.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) (fma.f64 y (*.f64 x #s(literal -2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 x #s(literal -2 binary64)) #s(literal 0 binary64)))) #s(literal 0 binary64)) |
(fma.f64 y (exp.f64 (log.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))) #s(literal 0 binary64)) |
(fma.f64 x (*.f64 y #s(literal -2 binary64)) #s(literal 0 binary64)) |
(fma.f64 #s(literal -2 binary64) (*.f64 y x) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x #s(literal -2 binary64)) y #s(literal 0 binary64)) |
(fma.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) y #s(literal 0 binary64)) |
(fma.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) (/.f64 (fma.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (*.f64 x #s(literal -2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) (*.f64 (fma.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 x #s(literal -2 binary64)) #s(literal 0 binary64)))) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 y (*.f64 x #s(literal -2 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -8 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -8 binary64)) #s(literal 0 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 x #s(literal -2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) |
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(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 8 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)) #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)))) (neg.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -4 binary64) (*.f64 x x)))) (neg.f64 (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64)))) (/.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64)))) (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64)))) (/.f64 #s(literal 4 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64))))) (fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64))) (fma.f64 (/.f64 #s(literal 4 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64))) (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64)))) (*.f64 (/.f64 #s(literal 4 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64))))) (fma.f64 x (/.f64 (*.f64 x #s(literal 4 binary64)) (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 8 binary64)) #s(literal 1 binary64)) (fma.f64 x (-.f64 (*.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)) #s(literal 4 binary64))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64)) (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal -512 binary64) #s(literal 512 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)) #s(literal 4 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64)) (-.f64 #s(literal 64 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -64 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64)) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)) #s(literal 4 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal -8 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64)) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64)))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)) (fma.f64 (*.f64 x x) #s(literal 16 binary64) #s(literal 16 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64)))) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -4 binary64) (*.f64 x x)))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)) #s(literal 4 binary64)))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64)))) |
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)) #s(literal 4 binary64))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)) #s(literal 4 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 8 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64))) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -4 binary64))) |
(*.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -4 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -4 binary64))) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 8 binary64)) (fma.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 4 binary64)) (fma.f64 x #s(literal 4 binary64) #s(literal 4 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64))))) (fma.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 x (*.f64 x #s(literal 4 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 8 binary64)) (*.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)) #s(literal 4 binary64)) (+.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)) (*.f64 x #s(literal -4 binary64))))) (+.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)) (*.f64 x #s(literal -4 binary64)))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal -8 binary64))) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (fma.f64 x #s(literal -4 binary64) #s(literal 4 binary64)))) |
| 1× | egg-herbie |
| 4 232× | accelerator-lowering-fma.f32 |
| 4 232× | accelerator-lowering-fma.f64 |
| 2 456× | *-lowering-*.f32 |
| 2 456× | *-lowering-*.f64 |
| 1 502× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 608 |
| 1 | 100 | 608 |
| 2 | 215 | 608 |
| 3 | 452 | 608 |
| 4 | 1285 | 608 |
| 5 | 2892 | 608 |
| 6 | 4135 | 608 |
| 7 | 4964 | 608 |
| 8 | 5296 | 608 |
| 9 | 5442 | 608 |
| 10 | 5514 | 608 |
| 11 | 6267 | 608 |
| 12 | 6795 | 608 |
| 13 | 6872 | 608 |
| 14 | 6904 | 608 |
| 15 | 6934 | 608 |
| 16 | 7000 | 608 |
| 17 | 7012 | 608 |
| 18 | 7048 | 608 |
| 19 | 7176 | 608 |
| 20 | 7176 | 608 |
| 21 | 7272 | 608 |
| 22 | 7448 | 608 |
| 23 | 7942 | 608 |
| 0 | 8261 | 578 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 2 (* (pow x 2) y)) |
(* 2 (* (pow x 2) y)) |
(* 2 (* (pow x 2) y)) |
(* 2 (* (pow x 2) y)) |
(* 2 (* (pow x 2) y)) |
(* 2 (* (pow x 2) y)) |
(* 2 (* (pow x 2) y)) |
(* 2 (* (pow x 2) y)) |
(* 2 (* (pow x 2) y)) |
(* 2 (* (pow x 2) y)) |
(* 2 (* (pow x 2) y)) |
(* 2 (* (pow x 2) y)) |
(* 2 (* (pow x 2) y)) |
(* 2 (* (pow x 2) y)) |
(* 2 (* (pow x 2) y)) |
(* 2 (* (pow x 2) y)) |
(* 2 (* (pow x 2) y)) |
(* 2 (* (pow x 2) y)) |
(* 2 (* (pow x 2) y)) |
(* 2 (* (pow x 2) y)) |
(* 2 (* (pow x 2) y)) |
(* 2 (* (pow x 2) y)) |
(* 2 (* (pow x 2) y)) |
(* 2 (* (pow x 2) y)) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 4 y) |
(* 4 y) |
(* 4 y) |
(* 4 y) |
(* 4 y) |
(* 4 y) |
(* 4 y) |
(* 4 y) |
(* 4 y) |
(* 4 y) |
(* 4 y) |
(* 4 y) |
(* 6 y) |
(* 6 y) |
(* 6 y) |
(* 6 y) |
(* 6 y) |
(* 6 y) |
(* 6 y) |
(* 6 y) |
(* 6 y) |
(* 6 y) |
(* 6 y) |
(* 6 y) |
(* y (+ 2 (* -2 x))) |
(* y (+ 2 (* -2 x))) |
(* y (+ 2 (* -2 x))) |
(* y (+ 2 (* -2 x))) |
(* y (+ 2 (* -2 x))) |
(* y (+ 2 (* -2 x))) |
(* y (+ 2 (* -2 x))) |
(* y (+ 2 (* -2 x))) |
(* y (+ 2 (* -2 x))) |
(* y (+ 2 (* -2 x))) |
(* y (+ 2 (* -2 x))) |
(* y (+ 2 (* -2 x))) |
(* 2 y) |
(+ (* -2 (* x y)) (* 2 y)) |
(+ (* -2 (* x y)) (* 2 y)) |
(+ (* -2 (* x y)) (* 2 y)) |
(* -2 (* x y)) |
(* x (+ (* -2 y) (* 2 (/ y x)))) |
(* x (+ (* -2 y) (* 2 (/ y x)))) |
(* x (+ (* -2 y) (* 2 (/ y x)))) |
(* -2 (* x y)) |
(* -1 (* x (+ (* -2 (/ y x)) (* 2 y)))) |
(* -1 (* x (+ (* -2 (/ y x)) (* 2 y)))) |
(* -1 (* x (+ (* -2 (/ y x)) (* 2 y)))) |
2 |
(+ 2 (* -2 x)) |
(+ 2 (* -2 x)) |
(+ 2 (* -2 x)) |
(* -2 x) |
(* x (- (* 2 (/ 1 x)) 2)) |
(* x (- (* 2 (/ 1 x)) 2)) |
(* x (- (* 2 (/ 1 x)) 2)) |
(* -2 x) |
(* -1 (* x (- 2 (* 2 (/ 1 x))))) |
(* -1 (* x (- 2 (* 2 (/ 1 x))))) |
(* -1 (* x (- 2 (* 2 (/ 1 x))))) |
| Outputs |
|---|
(* 2 (* (pow x 2) y)) |
(fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (* (pow x 2) y)) |
(fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (* (pow x 2) y)) |
(fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (* (pow x 2) y)) |
(fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (* (pow x 2) y)) |
(fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (* (pow x 2) y)) |
(fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (* (pow x 2) y)) |
(fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (* (pow x 2) y)) |
(fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (* (pow x 2) y)) |
(fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (* (pow x 2) y)) |
(fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (* (pow x 2) y)) |
(fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (* (pow x 2) y)) |
(fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (* (pow x 2) y)) |
(fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (* (pow x 2) y)) |
(fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (* (pow x 2) y)) |
(fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (* (pow x 2) y)) |
(fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (* (pow x 2) y)) |
(fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (* (pow x 2) y)) |
(fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (* (pow x 2) y)) |
(fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (* (pow x 2) y)) |
(fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (* (pow x 2) y)) |
(fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (* (pow x 2) y)) |
(fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (* (pow x 2) y)) |
(fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (* (pow x 2) y)) |
(fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 y) |
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)) |
(* 2 y) |
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)) |
(* 2 y) |
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)) |
(* 2 y) |
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)) |
(* 2 y) |
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)) |
(* 2 y) |
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)) |
(* 2 y) |
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)) |
(* 2 y) |
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)) |
(* 2 y) |
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)) |
(* 2 y) |
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)) |
(* 2 y) |
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)) |
(* 2 y) |
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)) |
(* 2 (* x y)) |
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (* x y)) |
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (* x y)) |
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (* x y)) |
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (* x y)) |
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (* x y)) |
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (* x y)) |
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (* x y)) |
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (* x y)) |
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (* x y)) |
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (* x y)) |
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (* x y)) |
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (* x y)) |
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (* x y)) |
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (* x y)) |
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (* x y)) |
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (* x y)) |
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (* x y)) |
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (* x y)) |
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (* x y)) |
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (* x y)) |
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (* x y)) |
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (* x y)) |
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 2 (* x y)) |
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 4 y) |
(fma.f64 y #s(literal 4 binary64) #s(literal 0 binary64)) |
(* 4 y) |
(fma.f64 y #s(literal 4 binary64) #s(literal 0 binary64)) |
(* 4 y) |
(fma.f64 y #s(literal 4 binary64) #s(literal 0 binary64)) |
(* 4 y) |
(fma.f64 y #s(literal 4 binary64) #s(literal 0 binary64)) |
(* 4 y) |
(fma.f64 y #s(literal 4 binary64) #s(literal 0 binary64)) |
(* 4 y) |
(fma.f64 y #s(literal 4 binary64) #s(literal 0 binary64)) |
(* 4 y) |
(fma.f64 y #s(literal 4 binary64) #s(literal 0 binary64)) |
(* 4 y) |
(fma.f64 y #s(literal 4 binary64) #s(literal 0 binary64)) |
(* 4 y) |
(fma.f64 y #s(literal 4 binary64) #s(literal 0 binary64)) |
(* 4 y) |
(fma.f64 y #s(literal 4 binary64) #s(literal 0 binary64)) |
(* 4 y) |
(fma.f64 y #s(literal 4 binary64) #s(literal 0 binary64)) |
(* 4 y) |
(fma.f64 y #s(literal 4 binary64) #s(literal 0 binary64)) |
(* 6 y) |
(fma.f64 y #s(literal 6 binary64) #s(literal 0 binary64)) |
(* 6 y) |
(fma.f64 y #s(literal 6 binary64) #s(literal 0 binary64)) |
(* 6 y) |
(fma.f64 y #s(literal 6 binary64) #s(literal 0 binary64)) |
(* 6 y) |
(fma.f64 y #s(literal 6 binary64) #s(literal 0 binary64)) |
(* 6 y) |
(fma.f64 y #s(literal 6 binary64) #s(literal 0 binary64)) |
(* 6 y) |
(fma.f64 y #s(literal 6 binary64) #s(literal 0 binary64)) |
(* 6 y) |
(fma.f64 y #s(literal 6 binary64) #s(literal 0 binary64)) |
(* 6 y) |
(fma.f64 y #s(literal 6 binary64) #s(literal 0 binary64)) |
(* 6 y) |
(fma.f64 y #s(literal 6 binary64) #s(literal 0 binary64)) |
(* 6 y) |
(fma.f64 y #s(literal 6 binary64) #s(literal 0 binary64)) |
(* 6 y) |
(fma.f64 y #s(literal 6 binary64) #s(literal 0 binary64)) |
(* 6 y) |
(fma.f64 y #s(literal 6 binary64) #s(literal 0 binary64)) |
(* y (+ 2 (* -2 x))) |
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* y (+ 2 (* -2 x))) |
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* y (+ 2 (* -2 x))) |
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* y (+ 2 (* -2 x))) |
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* y (+ 2 (* -2 x))) |
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* y (+ 2 (* -2 x))) |
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* y (+ 2 (* -2 x))) |
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* y (+ 2 (* -2 x))) |
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* y (+ 2 (* -2 x))) |
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* y (+ 2 (* -2 x))) |
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* y (+ 2 (* -2 x))) |
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* y (+ 2 (* -2 x))) |
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* 2 y) |
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)) |
(+ (* -2 (* x y)) (* 2 y)) |
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(+ (* -2 (* x y)) (* 2 y)) |
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(+ (* -2 (* x y)) (* 2 y)) |
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* -2 (* x y)) |
(fma.f64 x (fma.f64 y #s(literal -2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* x (+ (* -2 y) (* 2 (/ y x)))) |
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* x (+ (* -2 y) (* 2 (/ y x)))) |
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* x (+ (* -2 y) (* 2 (/ y x)))) |
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* -2 (* x y)) |
(fma.f64 x (fma.f64 y #s(literal -2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* -1 (* x (+ (* -2 (/ y x)) (* 2 y)))) |
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* -1 (* x (+ (* -2 (/ y x)) (* 2 y)))) |
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(* -1 (* x (+ (* -2 (/ y x)) (* 2 y)))) |
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64)) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -2 x)) |
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) |
(+ 2 (* -2 x)) |
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) |
(+ 2 (* -2 x)) |
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) |
(* -2 x) |
(fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)) |
(* x (- (* 2 (/ 1 x)) 2)) |
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) |
(* x (- (* 2 (/ 1 x)) 2)) |
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) |
(* x (- (* 2 (/ 1 x)) 2)) |
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) |
(* -2 x) |
(fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)) |
(* -1 (* x (- 2 (* 2 (/ 1 x))))) |
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) |
(* -1 (* x (- 2 (* 2 (/ 1 x))))) |
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) |
(* -1 (* x (- 2 (* 2 (/ 1 x))))) |
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) |
Compiled 10 227 to 761 computations (92.6% saved)
15 alts after pruning (6 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 536 | 4 | 540 |
| Fresh | 0 | 2 | 2 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 7 | 7 |
| Total | 539 | 15 | 554 |
| Status | Accuracy | Program |
|---|---|---|
| 3.1% | (fma.f64 y #s(literal 6 binary64) #s(literal 0 binary64)) | |
| ✓ | 100.0% | (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
| ✓ | 99.8% | (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1/2 binary64)) |
| ✓ | 50.8% | (/.f64 x (+.f64 y y)) |
| ✓ | 3.1% | (+.f64 y y) |
| 2.6% | (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) y) | |
| ✓ | 4.5% | (*.f64 (+.f64 y y) (+.f64 x y)) |
| ✓ | 3.5% | (*.f64 (+.f64 y y) y) |
| ✓ | 3.8% | (*.f64 (+.f64 y y) x) |
| 2.5% | (*.f64 (*.f64 (+.f64 y y) y) y) | |
| ✓ | 5.6% | (*.f64 (*.f64 (+.f64 y y) x) x) |
| 3.8% | (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y)) x) | |
| 3.7% | (*.f64 (neg.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))) y) | |
| ✓ | 49.6% | #s(literal 1/2 binary64) |
| 2.6% | #s(literal 0 binary64) |
Compiled 250 to 110 computations (56% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
(+.f64 y y) |
(fma.f64 y #s(literal 6 binary64) #s(literal 0 binary64)) |
(*.f64 #s(literal 2 binary64) (+.f64 y y)) |
(*.f64 (+.f64 y y) x) |
(*.f64 (+.f64 y y) y) |
(*.f64 (+.f64 y y) (+.f64 x y)) |
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) y) |
(fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y)) |
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (+.f64 y y) x (+.f64 y y)) |
(*.f64 (neg.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))) y) |
(*.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y)) x) |
(*.f64 (*.f64 (+.f64 y y) x) x) |
(*.f64 (*.f64 (+.f64 y y) y) y) |
(/.f64 x (+.f64 y y)) |
(fma.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 y y) (+.f64 y y)) |
(/.f64 (+.f64 x y) (+.f64 y y)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1/2 binary64)) |
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (+.f64 y y) (-.f64 x y))) |
| Outputs |
|---|
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
3 calls:
| 9.0ms | (/.f64 (+.f64 x y) (+.f64 y y)) |
| 7.0ms | y |
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | (/.f64 (+.f64 x y) (+.f64 y y)) |
Compiled 15 to 9 computations (40% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
(+.f64 y y) |
(fma.f64 y #s(literal 6 binary64) #s(literal 0 binary64)) |
(*.f64 #s(literal 2 binary64) (+.f64 y y)) |
(*.f64 (+.f64 y y) x) |
(*.f64 (+.f64 y y) y) |
(*.f64 (+.f64 y y) (+.f64 x y)) |
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) y) |
(fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y)) |
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (+.f64 y y) x (+.f64 y y)) |
(*.f64 (neg.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))) y) |
(*.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y)) x) |
(*.f64 (*.f64 (+.f64 y y) x) x) |
(*.f64 (*.f64 (+.f64 y y) y) y) |
(/.f64 x (+.f64 y y)) |
(fma.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 y y) (+.f64 y y)) |
(/.f64 (+.f64 x y) (+.f64 y y)) |
| Outputs |
|---|
(/.f64 (+.f64 x y) (+.f64 y y)) |
3 calls:
| 7.0ms | (/.f64 (+.f64 x y) (+.f64 y y)) |
| 6.0ms | y |
| 6.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | (/.f64 (+.f64 x y) (+.f64 y y)) |
Compiled 15 to 9 computations (40% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
(+.f64 y y) |
(fma.f64 y #s(literal 6 binary64) #s(literal 0 binary64)) |
(*.f64 #s(literal 2 binary64) (+.f64 y y)) |
(*.f64 (+.f64 y y) x) |
(*.f64 (+.f64 y y) y) |
(*.f64 (+.f64 y y) (+.f64 x y)) |
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) y) |
(fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y)) |
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (+.f64 y y) x (+.f64 y y)) |
(*.f64 (neg.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))) y) |
(*.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y)) x) |
(*.f64 (*.f64 (+.f64 y y) x) x) |
(*.f64 (*.f64 (+.f64 y y) y) y) |
(/.f64 x (+.f64 y y)) |
(fma.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 y y) (+.f64 y y)) |
| Outputs |
|---|
(/.f64 x (+.f64 y y)) |
#s(literal 1/2 binary64) |
(/.f64 x (+.f64 y y)) |
3 calls:
| 7.0ms | x |
| 6.0ms | y |
| 5.0ms | (/.f64 (+.f64 x y) (+.f64 y y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.1% | 3 | x |
| 76.3% | 3 | y |
| 97.4% | 3 | (/.f64 (+.f64 x y) (+.f64 y y)) |
Compiled 15 to 9 computations (40% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
(+.f64 y y) |
(fma.f64 y #s(literal 6 binary64) #s(literal 0 binary64)) |
(*.f64 #s(literal 2 binary64) (+.f64 y y)) |
(*.f64 (+.f64 y y) x) |
(*.f64 (+.f64 y y) y) |
(*.f64 (+.f64 y y) (+.f64 x y)) |
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) y) |
(fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y)) |
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (+.f64 y y) x (+.f64 y y)) |
(*.f64 (neg.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))) y) |
(*.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y)) x) |
(*.f64 (*.f64 (+.f64 y y) x) x) |
(*.f64 (*.f64 (+.f64 y y) y) y) |
| Outputs |
|---|
#s(literal 1/2 binary64) |
(*.f64 (*.f64 (+.f64 y y) x) x) |
3 calls:
| 8.0ms | y |
| 5.0ms | x |
| 5.0ms | (/.f64 (+.f64 x y) (+.f64 y y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.6% | 1 | y |
| 52.1% | 2 | x |
| 51.9% | 2 | (/.f64 (+.f64 x y) (+.f64 y y)) |
Compiled 15 to 9 computations (40% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
(+.f64 y y) |
(fma.f64 y #s(literal 6 binary64) #s(literal 0 binary64)) |
(*.f64 #s(literal 2 binary64) (+.f64 y y)) |
(*.f64 (+.f64 y y) x) |
(*.f64 (+.f64 y y) y) |
(*.f64 (+.f64 y y) (+.f64 x y)) |
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) y) |
(fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y)) |
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (+.f64 y y) x (+.f64 y y)) |
(*.f64 (neg.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))) y) |
(*.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y)) x) |
| Outputs |
|---|
#s(literal 1/2 binary64) |
2 calls:
| 5.0ms | x |
| 4.0ms | (/.f64 (+.f64 x y) (+.f64 y y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.6% | 1 | (/.f64 (+.f64 x y) (+.f64 y y)) |
| 49.6% | 1 | x |
Compiled 12 to 7 computations (41.7% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(literal 0 binary64) |
| Outputs |
|---|
#s(literal 0 binary64) |
3 calls:
| 2.0ms | y |
| 1.0ms | x |
| 1.0ms | (/.f64 (+.f64 x y) (+.f64 y y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 2.6% | 1 | x |
| 2.6% | 1 | y |
| 2.6% | 1 | (/.f64 (+.f64 x y) (+.f64 y y)) |
Compiled 15 to 9 computations (40% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.85510762157308 | 126013.30479763204 |
| 0.0ms | -18981.597235080706 | 0.4999999723000089 |
Compiled 12 to 10 computations (16.7% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 3.234190756840144e+198 | 5.679554128400371e+200 |
| 4.0ms | 112× | 0 | valid |
Compiled 110 to 80 computations (27.3% saved)
ival-div: 1.0ms (50.9% of total)ival-add: 1.0ms (50.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 4× | *-commutative_binary64 |
| 2× | +-commutative_binary64 |
| 2× | 1-exp_binary64 |
| 2× | if-if-or-not_binary32 |
| 2× | 1-exp_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 54 |
| 1 | 29 | 54 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
(/.f64 (+.f64 x y) (+.f64 y y)) |
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y y)) #s(literal -10000 binary64)) (/.f64 x (+.f64 y y)) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y y)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (/.f64 x (+.f64 y y)))) |
(if (<=.f64 x #s(literal 559999999999999969453415822896564802852263746511616371192569991509925117333332885061168362628537596338394011539584028362253125264551933521108125185955237987194020653549387688380537621128469514375135232 binary64)) #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 y y) x) x)) |
#s(literal 1/2 binary64) |
#s(literal 0 binary64) |
| Outputs |
|---|
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
(/.f64 (+.f64 x y) (+.f64 y y)) |
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y y)) #s(literal -10000 binary64)) (/.f64 x (+.f64 y y)) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y y)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (/.f64 x (+.f64 y y)))) |
(if (<=.f64 x #s(literal 559999999999999969453415822896564802852263746511616371192569991509925117333332885061168362628537596338394011539584028362253125264551933521108125185955237987194020653549387688380537621128469514375135232 binary64)) #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 y y) x) x)) |
(if (<=.f64 x #s(literal 559999999999999969453415822896564802852263746511616371192569991509925117333332885061168362628537596338394011539584028362253125264551933521108125185955237987194020653549387688380537621128469514375135232 binary64)) #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 y y)))) |
#s(literal 1/2 binary64) |
#s(literal 0 binary64) |
| 5 072× | accelerator-lowering-fma.f32 |
| 5 072× | accelerator-lowering-fma.f64 |
| 4 752× | accelerator-lowering-fma.f32 |
| 4 752× | accelerator-lowering-fma.f64 |
| 3 872× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 32 |
| 1 | 115 | 30 |
| 0 | 1167 | 29 |
| 0 | 34 | 240 |
| 1 | 95 | 240 |
| 2 | 195 | 240 |
| 3 | 539 | 240 |
| 4 | 2494 | 240 |
| 5 | 4900 | 240 |
| 6 | 6147 | 240 |
| 7 | 7103 | 240 |
| 8 | 7625 | 240 |
| 0 | 8012 | 222 |
| 0 | 14 | 47 |
| 1 | 86 | 37 |
| 2 | 891 | 15 |
| 3 | 5189 | 15 |
| 0 | 8978 | 14 |
| 0 | 14 | 52 |
| 1 | 96 | 52 |
| 0 | 933 | 51 |
| 1× | fuel |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 133 to 68 computations (48.9% saved)
Compiled 156 to 64 computations (59% saved)
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