
Time bar (total: 4.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 8 to 6 computations (25% saved)
ival-div: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 376.0ms | 8256× | 0 | valid |
ival-div: 92.0ms (54.1% of total)ival-add: 64.0ms (37.6% of total)const: 11.0ms (6.5% of total)backward-pass: 3.0ms (1.8% of total)| 2× | egg-herbie |
| 432× | fmsub-define |
| 416× | fnmsub-define |
| 416× | fnmadd-define |
| 356× | fmm-def |
| 228× | sum3-define |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 32 |
| 1 | 36 | 30 |
| 2 | 69 | 30 |
| 3 | 156 | 30 |
| 4 | 500 | 30 |
| 5 | 1187 | 30 |
| 6 | 1489 | 30 |
| 7 | 1662 | 30 |
| 8 | 1706 | 30 |
| 0 | 5 | 5 |
| 1 | 6 | 5 |
| 0 | 6 | 5 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(/ (+ x y) 10) |
| Outputs |
|---|
(/ (+ x y) 10) |
(/.f64 (+.f64 x y) #s(literal 10 binary64)) |
| Inputs |
|---|
(/ (+ x y) 10) |
(/ (+ (neg x) y) 10) |
(/ (+ x (neg y)) 10) |
(neg (/ (+ (neg x) y) 10)) |
(neg (/ (+ x (neg y)) 10)) |
(/ (+ y x) 10) |
| Outputs |
|---|
(/ (+ x y) 10) |
(* (+ x y) 1/10) |
(/ (+ (neg x) y) 10) |
(* (- y x) 1/10) |
(/ (+ x (neg y)) 10) |
(* (- y x) -1/10) |
(neg (/ (+ (neg x) y) 10)) |
(* (- y x) -1/10) |
(neg (/ (+ x (neg y)) 10)) |
(* (- y x) 1/10) |
(/ (+ y x) 10) |
(* (+ x y) 1/10) |
(sort x y)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (/.f64 (+.f64 x y) #s(literal 10 binary64)) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | #s(literal 10 binary64) |
| 0 | 0 | - | 0 | - | (+.f64 x y) |
| 0 | 0 | - | 0 | - | y |
| 25.0ms | 512× | 0 | valid |
Compiled 35 to 17 computations (51.4% saved)
ival-div: 4.0ms (43.9% of total)ival-add: 3.0ms (32.9% of total)const: 2.0ms (22% of total)backward-pass: 0.0ms (0% of total)Compiled 7 to 5 computations (28.6% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (/.f64 (+.f64 x y) #s(literal 10 binary64)) |
Compiled 7 to 5 computations (28.6% saved)
| 1× | egg-herbie |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 x y) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 x y) #s(literal 10 binary64)) |
| 4× | +-lowering-+.f64 |
| 4× | +-lowering-+.f32 |
| 2× | /-lowering-/.f32 |
| 2× | /-lowering-/.f64 |
| 2× | +-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 11 |
| 1 | 6 | 11 |
| 0 | 6 | 11 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ (+ x y) 10) |
(+ x y) |
x |
y |
10 |
| Outputs |
|---|
(/ (+ x y) 10) |
(/.f64 (+.f64 x y) #s(literal 10 binary64)) |
(+ x y) |
(+.f64 x y) |
x |
y |
10 |
#s(literal 10 binary64) |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 x y) |
| ✓ | accuracy | 100.0% | (/.f64 (+.f64 x y) #s(literal 10 binary64)) |
| 14.0ms | 256× | 0 | valid |
Compiled 14 to 6 computations (57.1% saved)
ival-div: 2.0ms (50.2% of total)ival-add: 2.0ms (50.2% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (+ x y) 10)> |
#<alt (+ x y)> |
| Outputs |
|---|
#<alt (* 1/10 y)> |
#<alt (+ (* 1/10 x) (* 1/10 y))> |
#<alt (+ (* 1/10 x) (* 1/10 y))> |
#<alt (+ (* 1/10 x) (* 1/10 y))> |
#<alt (* 1/10 x)> |
#<alt (* x (+ 1/10 (* 1/10 (/ y x))))> |
#<alt (* x (+ 1/10 (* 1/10 (/ y x))))> |
#<alt (* x (+ 1/10 (* 1/10 (/ y x))))> |
#<alt (* 1/10 x)> |
#<alt (* -1 (* x (- (* -1/10 (/ y x)) 1/10)))> |
#<alt (* -1 (* x (- (* -1/10 (/ y x)) 1/10)))> |
#<alt (* -1 (* x (- (* -1/10 (/ y x)) 1/10)))> |
#<alt (* 1/10 x)> |
#<alt (+ (* 1/10 x) (* 1/10 y))> |
#<alt (+ (* 1/10 x) (* 1/10 y))> |
#<alt (+ (* 1/10 x) (* 1/10 y))> |
#<alt (* 1/10 y)> |
#<alt (* y (+ 1/10 (* 1/10 (/ x y))))> |
#<alt (* y (+ 1/10 (* 1/10 (/ x y))))> |
#<alt (* y (+ 1/10 (* 1/10 (/ x y))))> |
#<alt (* 1/10 y)> |
#<alt (* -1 (* y (- (* -1/10 (/ x y)) 1/10)))> |
#<alt (* -1 (* y (- (* -1/10 (/ x y)) 1/10)))> |
#<alt (* -1 (* y (- (* -1/10 (/ x y)) 1/10)))> |
#<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)))> |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (/ (+ x y) 10) |
| 0.0ms | x | @ | -inf | (/ (+ x y) 10) |
| 0.0ms | y | @ | inf | (/ (+ x y) 10) |
| 0.0ms | x | @ | inf | (+ x y) |
| 0.0ms | x | @ | 0 | (/ (+ x y) 10) |
| 1× | batch-egg-rewrite |
| 3166× | /-lowering-/.f32 |
| 3166× | /-lowering-/.f64 |
| 2164× | *-lowering-*.f32 |
| 2164× | *-lowering-*.f64 |
| 1926× | fma-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 8 |
| 1 | 29 | 8 |
| 2 | 198 | 8 |
| 3 | 1947 | 8 |
| 0 | 8321 | 8 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ x y) 10) |
(+ x y) |
| Outputs |
|---|
(+.f64 (*.f64 #s(literal 1/10 binary64) x) (*.f64 #s(literal 1/10 binary64) y)) |
(+.f64 (*.f64 #s(literal 1/10 binary64) y) (*.f64 #s(literal 1/10 binary64) x)) |
(+.f64 (*.f64 x #s(literal 1/10 binary64)) (*.f64 y #s(literal 1/10 binary64))) |
(+.f64 (*.f64 y #s(literal 1/10 binary64)) (*.f64 x #s(literal 1/10 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 10 binary64) (+.f64 x y))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 x y) #s(literal -10 binary64))) |
(-.f64 (/.f64 (*.f64 x (/.f64 x (-.f64 x y))) #s(literal 10 binary64)) (/.f64 (*.f64 y (/.f64 y (-.f64 x y))) #s(literal 10 binary64))) |
(-.f64 (/.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) (-.f64 x y))) (/.f64 (*.f64 y y) (*.f64 #s(literal 10 binary64) (-.f64 x y)))) |
(-.f64 (/.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) (-.f64 x y))) (/.f64 (-.f64 (*.f64 y y) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 y y))) (*.f64 #s(literal 10 binary64) (-.f64 x y)))) |
(-.f64 (/.f64 (/.f64 (*.f64 y y) (-.f64 y x)) #s(literal 10 binary64)) (/.f64 (/.f64 (*.f64 x x) (-.f64 y x)) #s(literal 10 binary64))) |
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -10 binary64)) (/.f64 x #s(literal -10 binary64))) |
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -10 binary64)) (/.f64 y #s(literal -10 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) (-.f64 x y))) #s(literal -10 binary64)) (/.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal 0 binary64) (-.f64 x y))) #s(literal -10 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 #s(literal 10 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 #s(literal 10 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 #s(literal -10 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 #s(literal -10 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y y) (+.f64 (*.f64 x x) (*.f64 y y))))) (*.f64 #s(literal 10 binary64) (-.f64 x y))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y y) (+.f64 (*.f64 x x) (*.f64 y y))))) (*.f64 #s(literal 10 binary64) (-.f64 x y)))) |
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 y y))) (*.f64 #s(literal 10 binary64) (-.f64 x y))) (/.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (+.f64 (*.f64 x x) (*.f64 y y))) (*.f64 #s(literal 10 binary64) (-.f64 x y)))) |
(-.f64 (/.f64 (*.f64 x x) (*.f64 #s(literal -10 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x y)))) (/.f64 (*.f64 y y) (*.f64 #s(literal -10 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x y))))) |
(-.f64 (/.f64 (*.f64 x x) (*.f64 #s(literal -10 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x y)))) (/.f64 (-.f64 (*.f64 y y) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 y y))) (*.f64 #s(literal -10 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x y))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y y) (+.f64 (*.f64 x x) (*.f64 y y))))) (*.f64 #s(literal -10 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x y)))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y y) (+.f64 (*.f64 x x) (*.f64 y y))))) (*.f64 #s(literal -10 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x y))))) |
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 y y))) (*.f64 #s(literal -10 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x y)))) (/.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (+.f64 (*.f64 x x) (*.f64 y y))) (*.f64 #s(literal -10 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x y))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 #s(literal 10 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))))) (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (neg.f64 (*.f64 #s(literal 10 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 10 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))))) (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 #s(literal 10 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -10 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))) (/.f64 (+.f64 x y) #s(literal -10 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 #s(literal 10 binary64) (-.f64 x y)))) (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (neg.f64 (*.f64 #s(literal 10 binary64) (-.f64 x y))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 10 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x y)))) (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (*.f64 #s(literal 10 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x y))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -10 binary64) (-.f64 x y))) (/.f64 (+.f64 x y) #s(literal -10 binary64))) |
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 #s(literal 10 binary64) (-.f64 x y)) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y y) (+.f64 (*.f64 x x) (*.f64 y y)))))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 #s(literal 10 binary64) (-.f64 x y)) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y y) (+.f64 (*.f64 x x) (*.f64 y y))))))) |
(-.f64 (/.f64 (*.f64 y y) (*.f64 #s(literal 10 binary64) (-.f64 y x))) (/.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) (-.f64 y x)))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 #s(literal 10 binary64) (-.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))) (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (*.f64 #s(literal 10 binary64) (-.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))))) |
(fma.f64 x #s(literal 1/10 binary64) (*.f64 y #s(literal 1/10 binary64))) |
(fma.f64 y #s(literal 1/10 binary64) (*.f64 x #s(literal 1/10 binary64))) |
(fma.f64 #s(literal 1/10 binary64) x (*.f64 #s(literal 1/10 binary64) y)) |
(fma.f64 #s(literal 1/10 binary64) y (*.f64 #s(literal 1/10 binary64) x)) |
(neg.f64 (/.f64 (+.f64 x y) #s(literal -10 binary64))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) #s(literal -10 binary64)))) |
(/.f64 (+.f64 x y) #s(literal 10 binary64)) |
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) y) x) #s(literal -10 binary64)) |
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 #s(literal 10 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))) |
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 #s(literal -10 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 10 binary64) (+.f64 x y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))) (*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) #s(literal 1/10 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (*.f64 (+.f64 x y) (*.f64 (-.f64 x y) #s(literal 1/10 binary64))))) |
(/.f64 #s(literal 1/10 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (*.f64 #s(literal 10 binary64) (-.f64 x y))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (*.f64 #s(literal -10 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x y)))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -10 binary64) (+.f64 x y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))) (*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) #s(literal 1/10 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x y) (*.f64 (+.f64 x y) (*.f64 (-.f64 x y) #s(literal 1/10 binary64)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (neg.f64 (*.f64 #s(literal 10 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 #s(literal 10 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 #s(literal -10 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (neg.f64 (*.f64 #s(literal -10 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))))) |
(/.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) (-.f64 x y))) (neg.f64 (*.f64 #s(literal 10 binary64) (-.f64 x y)))) |
(/.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) (-.f64 x y))) (*.f64 #s(literal 10 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x y)))) |
(/.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) (-.f64 x y))) (*.f64 #s(literal -10 binary64) (-.f64 x y))) |
(/.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) (-.f64 x y))) (neg.f64 (*.f64 #s(literal -10 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x y))))) |
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))))) |
(/.f64 #s(literal -1/10 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) |
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(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 y x))) |
(*.f64 (pow.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) |
| 1× | egg-herbie |
| 1864× | fnmadd-define |
| 1816× | fma-lowering-fma.f32 |
| 1816× | fma-lowering-fma.f64 |
| 1812× | sum5-define |
| 1630× | fma-define |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 168 |
| 1 | 124 | 168 |
| 2 | 302 | 168 |
| 3 | 871 | 168 |
| 4 | 2404 | 168 |
| 5 | 4335 | 168 |
| 0 | 8030 | 168 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/10 y) |
(+ (* 1/10 x) (* 1/10 y)) |
(+ (* 1/10 x) (* 1/10 y)) |
(+ (* 1/10 x) (* 1/10 y)) |
(* 1/10 x) |
(* x (+ 1/10 (* 1/10 (/ y x)))) |
(* x (+ 1/10 (* 1/10 (/ y x)))) |
(* x (+ 1/10 (* 1/10 (/ y x)))) |
(* 1/10 x) |
(* -1 (* x (- (* -1/10 (/ y x)) 1/10))) |
(* -1 (* x (- (* -1/10 (/ y x)) 1/10))) |
(* -1 (* x (- (* -1/10 (/ y x)) 1/10))) |
(* 1/10 x) |
(+ (* 1/10 x) (* 1/10 y)) |
(+ (* 1/10 x) (* 1/10 y)) |
(+ (* 1/10 x) (* 1/10 y)) |
(* 1/10 y) |
(* y (+ 1/10 (* 1/10 (/ x y)))) |
(* y (+ 1/10 (* 1/10 (/ x y)))) |
(* y (+ 1/10 (* 1/10 (/ x y)))) |
(* 1/10 y) |
(* -1 (* y (- (* -1/10 (/ x y)) 1/10))) |
(* -1 (* y (- (* -1/10 (/ x y)) 1/10))) |
(* -1 (* y (- (* -1/10 (/ x y)) 1/10))) |
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))) |
| Outputs |
|---|
(* 1/10 y) |
(*.f64 #s(literal 1/10 binary64) y) |
(+ (* 1/10 x) (* 1/10 y)) |
(*.f64 #s(literal 1/10 binary64) (+.f64 y x)) |
(+ (* 1/10 x) (* 1/10 y)) |
(*.f64 #s(literal 1/10 binary64) (+.f64 y x)) |
(+ (* 1/10 x) (* 1/10 y)) |
(*.f64 #s(literal 1/10 binary64) (+.f64 y x)) |
(* 1/10 x) |
(*.f64 #s(literal 1/10 binary64) x) |
(* x (+ 1/10 (* 1/10 (/ y x)))) |
(*.f64 #s(literal 1/10 binary64) (+.f64 y x)) |
(* x (+ 1/10 (* 1/10 (/ y x)))) |
(*.f64 #s(literal 1/10 binary64) (+.f64 y x)) |
(* x (+ 1/10 (* 1/10 (/ y x)))) |
(*.f64 #s(literal 1/10 binary64) (+.f64 y x)) |
(* 1/10 x) |
(*.f64 #s(literal 1/10 binary64) x) |
(* -1 (* x (- (* -1/10 (/ y x)) 1/10))) |
(*.f64 #s(literal 1/10 binary64) (+.f64 y x)) |
(* -1 (* x (- (* -1/10 (/ y x)) 1/10))) |
(*.f64 #s(literal 1/10 binary64) (+.f64 y x)) |
(* -1 (* x (- (* -1/10 (/ y x)) 1/10))) |
(*.f64 #s(literal 1/10 binary64) (+.f64 y x)) |
(* 1/10 x) |
(*.f64 #s(literal 1/10 binary64) x) |
(+ (* 1/10 x) (* 1/10 y)) |
(*.f64 #s(literal 1/10 binary64) (+.f64 y x)) |
(+ (* 1/10 x) (* 1/10 y)) |
(*.f64 #s(literal 1/10 binary64) (+.f64 y x)) |
(+ (* 1/10 x) (* 1/10 y)) |
(*.f64 #s(literal 1/10 binary64) (+.f64 y x)) |
(* 1/10 y) |
(*.f64 #s(literal 1/10 binary64) y) |
(* y (+ 1/10 (* 1/10 (/ x y)))) |
(*.f64 #s(literal 1/10 binary64) (+.f64 y x)) |
(* y (+ 1/10 (* 1/10 (/ x y)))) |
(*.f64 #s(literal 1/10 binary64) (+.f64 y x)) |
(* y (+ 1/10 (* 1/10 (/ x y)))) |
(*.f64 #s(literal 1/10 binary64) (+.f64 y x)) |
(* 1/10 y) |
(*.f64 #s(literal 1/10 binary64) y) |
(* -1 (* y (- (* -1/10 (/ x y)) 1/10))) |
(*.f64 #s(literal 1/10 binary64) (+.f64 y x)) |
(* -1 (* y (- (* -1/10 (/ x y)) 1/10))) |
(*.f64 #s(literal 1/10 binary64) (+.f64 y x)) |
(* -1 (* y (- (* -1/10 (/ x y)) 1/10))) |
(*.f64 #s(literal 1/10 binary64) (+.f64 y x)) |
y |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
x |
(* x (+ 1 (/ y x))) |
(+.f64 y x) |
(* x (+ 1 (/ y x))) |
(+.f64 y x) |
(* x (+ 1 (/ y x))) |
(+.f64 y x) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 y x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 y x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 y x) |
x |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
y |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 y x) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 y x) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 y x) |
Compiled 9403 to 932 computations (90.1% saved)
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 357 | 6 | 363 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 357 | 7 | 364 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (+.f64 x y) #s(literal 10 binary64)) |
| ▶ | 52.4% | (/.f64 y #s(literal 10 binary64)) |
| ▶ | 48.4% | (/.f64 x #s(literal 10 binary64)) |
| ▶ | 99.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 10 binary64) (+.f64 x y))) |
| 99.4% | (+.f64 (*.f64 y #s(literal 1/10 binary64)) (*.f64 x #s(literal 1/10 binary64))) | |
| ▶ | 52.1% | (*.f64 #s(literal 1/10 binary64) y) |
| ▶ | 48.2% | (*.f64 #s(literal 1/10 binary64) x) |
Compiled 83 to 63 computations (24.1% saved)
| 1× | egg-herbie |
Found 7 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 y #s(literal 10 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 x #s(literal 10 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/10 binary64) y) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/10 binary64) x) |
| ✓ | cost-diff | 0 | (+.f64 x y) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 10 binary64) (+.f64 x y)) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 10 binary64) (+.f64 x y))) |
| 12× | *-lowering-*.f32 |
| 12× | *-lowering-*.f64 |
| 8× | fma-lowering-fma.f32 |
| 8× | fma-define |
| 8× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 37 |
| 1 | 20 | 37 |
| 2 | 23 | 37 |
| 3 | 27 | 37 |
| 0 | 27 | 37 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ 1 (/ 10 (+ x y))) |
1 |
(/ 10 (+ x y)) |
10 |
(+ x y) |
x |
y |
(* 1/10 x) |
1/10 |
x |
(* 1/10 y) |
1/10 |
y |
(/ x 10) |
x |
10 |
(/ y 10) |
y |
10 |
| Outputs |
|---|
(/ 1 (/ 10 (+ x y))) |
(*.f64 (+.f64 x y) #s(literal 1/10 binary64)) |
1 |
#s(literal 1 binary64) |
(/ 10 (+ x y)) |
(/.f64 #s(literal 10 binary64) (+.f64 x y)) |
10 |
#s(literal 10 binary64) |
(+ x y) |
(+.f64 x y) |
x |
y |
(* 1/10 x) |
(*.f64 x #s(literal 1/10 binary64)) |
1/10 |
#s(literal 1/10 binary64) |
x |
(* 1/10 y) |
(*.f64 y #s(literal 1/10 binary64)) |
1/10 |
#s(literal 1/10 binary64) |
y |
(/ x 10) |
(/.f64 x #s(literal 10 binary64)) |
x |
10 |
#s(literal 10 binary64) |
(/ y 10) |
(/.f64 y #s(literal 10 binary64)) |
y |
10 |
#s(literal 10 binary64) |
Found 7 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 y #s(literal 10 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 x #s(literal 10 binary64)) |
| ✓ | accuracy | 99.3% | (*.f64 #s(literal 1/10 binary64) y) |
| ✓ | accuracy | 99.5% | (*.f64 #s(literal 1/10 binary64) x) |
| ✓ | accuracy | 100.0% | (+.f64 x y) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 10 binary64) (+.f64 x y)) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 10 binary64) (+.f64 x y))) |
| 77.0ms | 256× | 0 | valid |
Compiled 42 to 13 computations (69% saved)
ival-div: 12.0ms (55.7% of total)ival-mult: 4.0ms (18.6% of total)...c/correct-round.rkt:119:19: 4.0ms (18.6% of total)ival-add: 2.0ms (9.3% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ 1 (/ 10 (+ x y)))> |
#<alt (/ 10 (+ x y))> |
#<alt (+ x y)> |
#<alt (* 1/10 x)> |
#<alt (* 1/10 y)> |
#<alt (/ x 10)> |
#<alt (/ y 10)> |
| Outputs |
|---|
#<alt (* 1/10 y)> |
#<alt (+ (* 1/10 x) (* 1/10 y))> |
#<alt (+ (* 1/10 x) (* 1/10 y))> |
#<alt (+ (* 1/10 x) (* 1/10 y))> |
#<alt (* 1/10 x)> |
#<alt (* x (+ 1/10 (* 1/10 (/ y x))))> |
#<alt (* x (+ 1/10 (* 1/10 (/ y x))))> |
#<alt (* x (+ 1/10 (* 1/10 (/ y x))))> |
#<alt (* 1/10 x)> |
#<alt (* -1 (* x (- (* -1/10 (/ y x)) 1/10)))> |
#<alt (* -1 (* x (- (* -1/10 (/ y x)) 1/10)))> |
#<alt (* -1 (* x (- (* -1/10 (/ y x)) 1/10)))> |
#<alt (* 1/10 x)> |
#<alt (+ (* 1/10 x) (* 1/10 y))> |
#<alt (+ (* 1/10 x) (* 1/10 y))> |
#<alt (+ (* 1/10 x) (* 1/10 y))> |
#<alt (* 1/10 y)> |
#<alt (* y (+ 1/10 (* 1/10 (/ x y))))> |
#<alt (* y (+ 1/10 (* 1/10 (/ x y))))> |
#<alt (* y (+ 1/10 (* 1/10 (/ x y))))> |
#<alt (* 1/10 y)> |
#<alt (* -1 (* y (- (* -1/10 (/ x y)) 1/10)))> |
#<alt (* -1 (* y (- (* -1/10 (/ x y)) 1/10)))> |
#<alt (* -1 (* y (- (* -1/10 (/ x y)) 1/10)))> |
#<alt (/ 10 y)> |
#<alt (+ (* -10 (/ x (pow y 2))) (* 10 (/ 1 y)))> |
#<alt (+ (* x (- (* 10 (/ x (pow y 3))) (* 10 (/ 1 (pow y 2))))) (* 10 (/ 1 y)))> |
#<alt (+ (* x (- (* x (+ (* -10 (/ x (pow y 4))) (* 10 (/ 1 (pow y 3))))) (* 10 (/ 1 (pow y 2))))) (* 10 (/ 1 y)))> |
#<alt (/ 10 x)> |
#<alt (/ (+ 10 (* -10 (/ y x))) x)> |
#<alt (/ (- (+ 10 (* 10 (/ (pow y 2) (pow x 2)))) (* 10 (/ y x))) x)> |
#<alt (/ (- (+ 10 (* -10 (/ (pow y 3) (pow x 3)))) (+ (* -10 (/ (pow y 2) (pow x 2))) (* 10 (/ y x)))) x)> |
#<alt (/ 10 x)> |
#<alt (* -1 (/ (- (* 10 (/ y x)) 10) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 10 (/ (pow y 2) x)) (* 10 y)) x)) 10) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 10 (/ (pow y 3) x)) (* 10 (pow y 2))) x)) (* 10 y)) x)) 10) x))> |
#<alt (/ 10 x)> |
#<alt (+ (* -10 (/ y (pow x 2))) (* 10 (/ 1 x)))> |
#<alt (+ (* y (- (* 10 (/ y (pow x 3))) (* 10 (/ 1 (pow x 2))))) (* 10 (/ 1 x)))> |
#<alt (+ (* y (- (* y (+ (* -10 (/ y (pow x 4))) (* 10 (/ 1 (pow x 3))))) (* 10 (/ 1 (pow x 2))))) (* 10 (/ 1 x)))> |
#<alt (/ 10 y)> |
#<alt (/ (+ 10 (* -10 (/ x y))) y)> |
#<alt (/ (- (+ 10 (* 10 (/ (pow x 2) (pow y 2)))) (* 10 (/ x y))) y)> |
#<alt (/ (- (+ 10 (* -10 (/ (pow x 3) (pow y 3)))) (+ (* -10 (/ (pow x 2) (pow y 2))) (* 10 (/ x y)))) y)> |
#<alt (/ 10 y)> |
#<alt (* -1 (/ (- (* 10 (/ x y)) 10) y))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 10 (/ (pow x 2) y)) (* 10 x)) y)) 10) y))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 10 (/ (pow x 3) y)) (* 10 (pow x 2))) y)) (* 10 x)) y)) 10) 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 (* 1/10 x)> |
#<alt (* 1/10 x)> |
#<alt (* 1/10 x)> |
#<alt (* 1/10 x)> |
#<alt (* 1/10 x)> |
#<alt (* 1/10 x)> |
#<alt (* 1/10 x)> |
#<alt (* 1/10 x)> |
#<alt (* 1/10 x)> |
#<alt (* 1/10 x)> |
#<alt (* 1/10 x)> |
#<alt (* 1/10 x)> |
#<alt (* 1/10 y)> |
#<alt (* 1/10 y)> |
#<alt (* 1/10 y)> |
#<alt (* 1/10 y)> |
#<alt (* 1/10 y)> |
#<alt (* 1/10 y)> |
#<alt (* 1/10 y)> |
#<alt (* 1/10 y)> |
#<alt (* 1/10 y)> |
#<alt (* 1/10 y)> |
#<alt (* 1/10 y)> |
#<alt (* 1/10 y)> |
#<alt (* 1/10 x)> |
#<alt (* 1/10 x)> |
#<alt (* 1/10 x)> |
#<alt (* 1/10 x)> |
#<alt (* 1/10 x)> |
#<alt (* 1/10 x)> |
#<alt (* 1/10 x)> |
#<alt (* 1/10 x)> |
#<alt (* 1/10 x)> |
#<alt (* 1/10 x)> |
#<alt (* 1/10 x)> |
#<alt (* 1/10 x)> |
#<alt (* 1/10 y)> |
#<alt (* 1/10 y)> |
#<alt (* 1/10 y)> |
#<alt (* 1/10 y)> |
#<alt (* 1/10 y)> |
#<alt (* 1/10 y)> |
#<alt (* 1/10 y)> |
#<alt (* 1/10 y)> |
#<alt (* 1/10 y)> |
#<alt (* 1/10 y)> |
#<alt (* 1/10 y)> |
#<alt (* 1/10 y)> |
30 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (* 1/10 x) |
| 0.0ms | y | @ | inf | (/ 10 (+ x y)) |
| 0.0ms | x | @ | inf | (/ 10 (+ x y)) |
| 0.0ms | x | @ | 0 | (/ 10 (+ x y)) |
| 0.0ms | y | @ | 0 | (/ 10 (+ x y)) |
| 1× | batch-egg-rewrite |
| 3352× | *-lowering-*.f32 |
| 3352× | *-lowering-*.f64 |
| 2650× | fma-lowering-fma.f32 |
| 2650× | fma-lowering-fma.f64 |
| 1978× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 25 |
| 1 | 57 | 25 |
| 2 | 317 | 25 |
| 3 | 2961 | 25 |
| 0 | 9308 | 25 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (/ 10 (+ x y))) |
(/ 10 (+ x y)) |
(+ x y) |
(* 1/10 x) |
(* 1/10 y) |
(/ x 10) |
(/ y 10) |
| Outputs |
|---|
(+.f64 (/.f64 x #s(literal 10 binary64)) (/.f64 y #s(literal 10 binary64))) |
(+.f64 (/.f64 y #s(literal 10 binary64)) (/.f64 x #s(literal 10 binary64))) |
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 x #s(literal 10 binary64)) (neg.f64 (*.f64 #s(literal -1/10 binary64) y))) (fma.f64 #s(literal 1/10 binary64) y (*.f64 #s(literal -1/10 binary64) y))) |
(+.f64 (fma.f64 x #s(literal 1/10 binary64) (neg.f64 (*.f64 #s(literal -1/10 binary64) y))) (fma.f64 #s(literal 1/10 binary64) y (*.f64 #s(literal -1/10 binary64) y))) |
(+.f64 (fma.f64 #s(literal 1/10 binary64) x (neg.f64 (*.f64 #s(literal -1/10 binary64) y))) (fma.f64 #s(literal 1/10 binary64) y (*.f64 #s(literal -1/10 binary64) y))) |
(+.f64 (fma.f64 #s(literal 1/10 binary64) (pow.f64 x #s(literal 1 binary64)) (neg.f64 (*.f64 #s(literal -1/10 binary64) y))) (fma.f64 #s(literal 1/10 binary64) y (*.f64 #s(literal -1/10 binary64) y))) |
(+.f64 (fma.f64 (/.f64 x #s(literal 10 binary64)) #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal -1/10 binary64) y))) (fma.f64 #s(literal 1/10 binary64) y (*.f64 #s(literal -1/10 binary64) y))) |
(+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x #s(literal -10 binary64)) (neg.f64 (*.f64 #s(literal -1/10 binary64) y))) (fma.f64 #s(literal 1/10 binary64) y (*.f64 #s(literal -1/10 binary64) y))) |
(+.f64 (fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/10 binary64) (neg.f64 (*.f64 #s(literal -1/10 binary64) y))) (fma.f64 #s(literal 1/10 binary64) y (*.f64 #s(literal -1/10 binary64) y))) |
(+.f64 (fma.f64 #s(literal -1/10 binary64) (-.f64 #s(literal 0 binary64) x) (neg.f64 (*.f64 #s(literal -1/10 binary64) y))) (fma.f64 #s(literal 1/10 binary64) y (*.f64 #s(literal -1/10 binary64) y))) |
(+.f64 (fma.f64 (pow.f64 (/.f64 x #s(literal 10 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x #s(literal 10 binary64)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 #s(literal -1/10 binary64) y))) (fma.f64 #s(literal 1/10 binary64) y (*.f64 #s(literal -1/10 binary64) y))) |
(+.f64 (fma.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -1/10 binary64) (neg.f64 (*.f64 #s(literal -1/10 binary64) y))) (fma.f64 #s(literal 1/10 binary64) y (*.f64 #s(literal -1/10 binary64) y))) |
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 y #s(literal 10 binary64)) (neg.f64 (*.f64 #s(literal -1/10 binary64) x))) (fma.f64 #s(literal 1/10 binary64) x (*.f64 #s(literal -1/10 binary64) x))) |
(+.f64 (fma.f64 y #s(literal 1/10 binary64) (neg.f64 (*.f64 #s(literal -1/10 binary64) x))) (fma.f64 #s(literal 1/10 binary64) x (*.f64 #s(literal -1/10 binary64) x))) |
(+.f64 (fma.f64 #s(literal 1/10 binary64) y (neg.f64 (*.f64 #s(literal -1/10 binary64) x))) (fma.f64 #s(literal 1/10 binary64) x (*.f64 #s(literal -1/10 binary64) x))) |
(+.f64 (fma.f64 #s(literal 1/10 binary64) (pow.f64 y #s(literal 1 binary64)) (neg.f64 (*.f64 #s(literal -1/10 binary64) x))) (fma.f64 #s(literal 1/10 binary64) x (*.f64 #s(literal -1/10 binary64) x))) |
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(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -10 binary64)) |
(pow.f64 (/.f64 x #s(literal 10 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 10 binary64) x) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 x #s(literal 10 binary64))) |
(*.f64 x #s(literal 1/10 binary64)) |
(*.f64 #s(literal 1/10 binary64) x) |
(*.f64 #s(literal 1/10 binary64) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 #s(literal 1/10 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 x #s(literal 10 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 x #s(literal -10 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/10 binary64)) |
(*.f64 #s(literal -1/10 binary64) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 #s(literal -1/10 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal 1/10 binary64)) |
(*.f64 (pow.f64 (/.f64 x #s(literal 10 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x #s(literal 10 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -1/10 binary64)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) #s(literal -1/10 binary64)) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 10 binary64) y)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 y #s(literal -10 binary64))) |
(neg.f64 (/.f64 y #s(literal -10 binary64))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 y #s(literal -10 binary64)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 10 binary64) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 10 binary64) y)) |
(/.f64 y #s(literal 10 binary64)) |
(/.f64 #s(literal 1/10 binary64) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -10 binary64) y)) |
(/.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -10 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) #s(literal -10 binary64)) |
(pow.f64 (/.f64 y #s(literal 10 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 10 binary64) y) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 y #s(literal 10 binary64))) |
(*.f64 y #s(literal 1/10 binary64)) |
(*.f64 #s(literal 1/10 binary64) y) |
(*.f64 #s(literal 1/10 binary64) (pow.f64 y #s(literal 1 binary64))) |
(*.f64 #s(literal 1/10 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 y #s(literal 10 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 y #s(literal -10 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1/10 binary64)) |
(*.f64 #s(literal -1/10 binary64) (-.f64 #s(literal 0 binary64) y)) |
(*.f64 #s(literal -1/10 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal 1 binary64)) #s(literal 1/10 binary64)) |
(*.f64 (pow.f64 (/.f64 y #s(literal 10 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 y #s(literal 10 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) #s(literal -1/10 binary64)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64)) #s(literal -1/10 binary64)) |
| 1× | egg-herbie |
| 4186× | *-lowering-*.f32 |
| 4186× | *-lowering-*.f64 |
| 1516× | /-lowering-/.f32 |
| 1516× | /-lowering-/.f64 |
| 1216× | --lowering--.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 173 | 655 |
| 1 | 573 | 617 |
| 2 | 1534 | 588 |
| 3 | 5288 | 582 |
| 0 | 8388 | 582 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/10 y) |
(+ (* 1/10 x) (* 1/10 y)) |
(+ (* 1/10 x) (* 1/10 y)) |
(+ (* 1/10 x) (* 1/10 y)) |
(* 1/10 x) |
(* x (+ 1/10 (* 1/10 (/ y x)))) |
(* x (+ 1/10 (* 1/10 (/ y x)))) |
(* x (+ 1/10 (* 1/10 (/ y x)))) |
(* 1/10 x) |
(* -1 (* x (- (* -1/10 (/ y x)) 1/10))) |
(* -1 (* x (- (* -1/10 (/ y x)) 1/10))) |
(* -1 (* x (- (* -1/10 (/ y x)) 1/10))) |
(* 1/10 x) |
(+ (* 1/10 x) (* 1/10 y)) |
(+ (* 1/10 x) (* 1/10 y)) |
(+ (* 1/10 x) (* 1/10 y)) |
(* 1/10 y) |
(* y (+ 1/10 (* 1/10 (/ x y)))) |
(* y (+ 1/10 (* 1/10 (/ x y)))) |
(* y (+ 1/10 (* 1/10 (/ x y)))) |
(* 1/10 y) |
(* -1 (* y (- (* -1/10 (/ x y)) 1/10))) |
(* -1 (* y (- (* -1/10 (/ x y)) 1/10))) |
(* -1 (* y (- (* -1/10 (/ x y)) 1/10))) |
(/ 10 y) |
(+ (* -10 (/ x (pow y 2))) (* 10 (/ 1 y))) |
(+ (* x (- (* 10 (/ x (pow y 3))) (* 10 (/ 1 (pow y 2))))) (* 10 (/ 1 y))) |
(+ (* x (- (* x (+ (* -10 (/ x (pow y 4))) (* 10 (/ 1 (pow y 3))))) (* 10 (/ 1 (pow y 2))))) (* 10 (/ 1 y))) |
(/ 10 x) |
(/ (+ 10 (* -10 (/ y x))) x) |
(/ (- (+ 10 (* 10 (/ (pow y 2) (pow x 2)))) (* 10 (/ y x))) x) |
(/ (- (+ 10 (* -10 (/ (pow y 3) (pow x 3)))) (+ (* -10 (/ (pow y 2) (pow x 2))) (* 10 (/ y x)))) x) |
(/ 10 x) |
(* -1 (/ (- (* 10 (/ y x)) 10) x)) |
(* -1 (/ (- (* -1 (/ (- (* 10 (/ (pow y 2) x)) (* 10 y)) x)) 10) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 10 (/ (pow y 3) x)) (* 10 (pow y 2))) x)) (* 10 y)) x)) 10) x)) |
(/ 10 x) |
(+ (* -10 (/ y (pow x 2))) (* 10 (/ 1 x))) |
(+ (* y (- (* 10 (/ y (pow x 3))) (* 10 (/ 1 (pow x 2))))) (* 10 (/ 1 x))) |
(+ (* y (- (* y (+ (* -10 (/ y (pow x 4))) (* 10 (/ 1 (pow x 3))))) (* 10 (/ 1 (pow x 2))))) (* 10 (/ 1 x))) |
(/ 10 y) |
(/ (+ 10 (* -10 (/ x y))) y) |
(/ (- (+ 10 (* 10 (/ (pow x 2) (pow y 2)))) (* 10 (/ x y))) y) |
(/ (- (+ 10 (* -10 (/ (pow x 3) (pow y 3)))) (+ (* -10 (/ (pow x 2) (pow y 2))) (* 10 (/ x y)))) y) |
(/ 10 y) |
(* -1 (/ (- (* 10 (/ x y)) 10) y)) |
(* -1 (/ (- (* -1 (/ (- (* 10 (/ (pow x 2) y)) (* 10 x)) y)) 10) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 10 (/ (pow x 3) y)) (* 10 (pow x 2))) y)) (* 10 x)) y)) 10) 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))) |
(* 1/10 x) |
(* 1/10 x) |
(* 1/10 x) |
(* 1/10 x) |
(* 1/10 x) |
(* 1/10 x) |
(* 1/10 x) |
(* 1/10 x) |
(* 1/10 x) |
(* 1/10 x) |
(* 1/10 x) |
(* 1/10 x) |
(* 1/10 y) |
(* 1/10 y) |
(* 1/10 y) |
(* 1/10 y) |
(* 1/10 y) |
(* 1/10 y) |
(* 1/10 y) |
(* 1/10 y) |
(* 1/10 y) |
(* 1/10 y) |
(* 1/10 y) |
(* 1/10 y) |
(* 1/10 x) |
(* 1/10 x) |
(* 1/10 x) |
(* 1/10 x) |
(* 1/10 x) |
(* 1/10 x) |
(* 1/10 x) |
(* 1/10 x) |
(* 1/10 x) |
(* 1/10 x) |
(* 1/10 x) |
(* 1/10 x) |
(* 1/10 y) |
(* 1/10 y) |
(* 1/10 y) |
(* 1/10 y) |
(* 1/10 y) |
(* 1/10 y) |
(* 1/10 y) |
(* 1/10 y) |
(* 1/10 y) |
(* 1/10 y) |
(* 1/10 y) |
(* 1/10 y) |
| Outputs |
|---|
(* 1/10 y) |
(*.f64 #s(literal 1/10 binary64) y) |
(+ (* 1/10 x) (* 1/10 y)) |
(*.f64 #s(literal 1/10 binary64) (+.f64 y x)) |
(+ (* 1/10 x) (* 1/10 y)) |
(*.f64 #s(literal 1/10 binary64) (+.f64 y x)) |
(+ (* 1/10 x) (* 1/10 y)) |
(*.f64 #s(literal 1/10 binary64) (+.f64 y x)) |
(* 1/10 x) |
(*.f64 #s(literal 1/10 binary64) x) |
(* x (+ 1/10 (* 1/10 (/ y x)))) |
(*.f64 #s(literal 1/10 binary64) (+.f64 y x)) |
(* x (+ 1/10 (* 1/10 (/ y x)))) |
(*.f64 #s(literal 1/10 binary64) (+.f64 y x)) |
(* x (+ 1/10 (* 1/10 (/ y x)))) |
(*.f64 #s(literal 1/10 binary64) (+.f64 y x)) |
(* 1/10 x) |
(*.f64 #s(literal 1/10 binary64) x) |
(* -1 (* x (- (* -1/10 (/ y x)) 1/10))) |
(*.f64 #s(literal 1/10 binary64) (+.f64 y x)) |
(* -1 (* x (- (* -1/10 (/ y x)) 1/10))) |
(*.f64 #s(literal 1/10 binary64) (+.f64 y x)) |
(* -1 (* x (- (* -1/10 (/ y x)) 1/10))) |
(*.f64 #s(literal 1/10 binary64) (+.f64 y x)) |
(* 1/10 x) |
(*.f64 #s(literal 1/10 binary64) x) |
(+ (* 1/10 x) (* 1/10 y)) |
(*.f64 #s(literal 1/10 binary64) (+.f64 y x)) |
(+ (* 1/10 x) (* 1/10 y)) |
(*.f64 #s(literal 1/10 binary64) (+.f64 y x)) |
(+ (* 1/10 x) (* 1/10 y)) |
(*.f64 #s(literal 1/10 binary64) (+.f64 y x)) |
(* 1/10 y) |
(*.f64 #s(literal 1/10 binary64) y) |
(* y (+ 1/10 (* 1/10 (/ x y)))) |
(*.f64 #s(literal 1/10 binary64) (+.f64 y x)) |
(* y (+ 1/10 (* 1/10 (/ x y)))) |
(*.f64 #s(literal 1/10 binary64) (+.f64 y x)) |
(* y (+ 1/10 (* 1/10 (/ x y)))) |
(*.f64 #s(literal 1/10 binary64) (+.f64 y x)) |
(* 1/10 y) |
(*.f64 #s(literal 1/10 binary64) y) |
(* -1 (* y (- (* -1/10 (/ x y)) 1/10))) |
(*.f64 #s(literal 1/10 binary64) (+.f64 y x)) |
(* -1 (* y (- (* -1/10 (/ x y)) 1/10))) |
(*.f64 #s(literal 1/10 binary64) (+.f64 y x)) |
(* -1 (* y (- (* -1/10 (/ x y)) 1/10))) |
(*.f64 #s(literal 1/10 binary64) (+.f64 y x)) |
(/ 10 y) |
(/.f64 #s(literal 10 binary64) y) |
(+ (* -10 (/ x (pow y 2))) (* 10 (/ 1 y))) |
(/.f64 (+.f64 #s(literal 10 binary64) (/.f64 (*.f64 x #s(literal -10 binary64)) y)) y) |
(+ (* x (- (* 10 (/ x (pow y 3))) (* 10 (/ 1 (pow y 2))))) (* 10 (/ 1 y))) |
(/.f64 (+.f64 #s(literal 10 binary64) (*.f64 #s(literal 10 binary64) (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64))) y))) y) |
(+ (* x (- (* x (+ (* -10 (/ x (pow y 4))) (* 10 (/ 1 (pow y 3))))) (* 10 (/ 1 (pow y 2))))) (* 10 (/ 1 y))) |
(+.f64 (/.f64 #s(literal 10 binary64) y) (*.f64 x (+.f64 (*.f64 (/.f64 #s(literal 10 binary64) (*.f64 y y)) (+.f64 (/.f64 x y) #s(literal -1 binary64))) (*.f64 x (*.f64 #s(literal -10 binary64) (/.f64 x (pow.f64 y #s(literal 4 binary64)))))))) |
(/ 10 x) |
(/.f64 #s(literal 10 binary64) x) |
(/ (+ 10 (* -10 (/ y x))) x) |
(/.f64 (+.f64 #s(literal 10 binary64) (*.f64 y (/.f64 #s(literal -10 binary64) x))) x) |
(/ (- (+ 10 (* 10 (/ (pow y 2) (pow x 2)))) (* 10 (/ y x))) x) |
(/.f64 (+.f64 #s(literal 10 binary64) (/.f64 (*.f64 #s(literal 10 binary64) (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)))) x)) x) |
(/ (- (+ 10 (* -10 (/ (pow y 3) (pow x 3)))) (+ (* -10 (/ (pow y 2) (pow x 2))) (* 10 (/ y x)))) x) |
(/.f64 (+.f64 #s(literal 10 binary64) (/.f64 (*.f64 #s(literal -10 binary64) (+.f64 (/.f64 (*.f64 y (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)))) x) y)) x)) x) |
(/ 10 x) |
(/.f64 #s(literal 10 binary64) x) |
(* -1 (/ (- (* 10 (/ y x)) 10) x)) |
(/.f64 (+.f64 #s(literal 10 binary64) (*.f64 y (/.f64 #s(literal -10 binary64) x))) x) |
(* -1 (/ (- (* -1 (/ (- (* 10 (/ (pow y 2) x)) (* 10 y)) x)) 10) x)) |
(/.f64 (+.f64 #s(literal 10 binary64) (/.f64 (*.f64 #s(literal 10 binary64) (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)))) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 10 (/ (pow y 3) x)) (* 10 (pow y 2))) x)) (* 10 y)) x)) 10) x)) |
(/.f64 (+.f64 #s(literal 10 binary64) (/.f64 (*.f64 #s(literal -10 binary64) (+.f64 (/.f64 (*.f64 y (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)))) x) y)) x)) x) |
(/ 10 x) |
(/.f64 #s(literal 10 binary64) x) |
(+ (* -10 (/ y (pow x 2))) (* 10 (/ 1 x))) |
(/.f64 (+.f64 #s(literal 10 binary64) (*.f64 y (/.f64 #s(literal -10 binary64) x))) x) |
(+ (* y (- (* 10 (/ y (pow x 3))) (* 10 (/ 1 (pow x 2))))) (* 10 (/ 1 x))) |
(/.f64 (+.f64 #s(literal 10 binary64) (/.f64 (*.f64 #s(literal 10 binary64) (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)))) x)) x) |
(+ (* y (- (* y (+ (* -10 (/ y (pow x 4))) (* 10 (/ 1 (pow x 3))))) (* 10 (/ 1 (pow x 2))))) (* 10 (/ 1 x))) |
(+.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 y (+.f64 (*.f64 (/.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 (/.f64 y x) #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 y y)) (pow.f64 x #s(literal 4 binary64)))))) |
(/ 10 y) |
(/.f64 #s(literal 10 binary64) y) |
(/ (+ 10 (* -10 (/ x y))) y) |
(/.f64 (+.f64 #s(literal 10 binary64) (/.f64 (*.f64 x #s(literal -10 binary64)) y)) y) |
(/ (- (+ 10 (* 10 (/ (pow x 2) (pow y 2)))) (* 10 (/ x y))) y) |
(/.f64 (+.f64 #s(literal 10 binary64) (*.f64 #s(literal 10 binary64) (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64))) y))) y) |
(/ (- (+ 10 (* -10 (/ (pow x 3) (pow y 3)))) (+ (* -10 (/ (pow x 2) (pow y 2))) (* 10 (/ x y)))) y) |
(/.f64 (+.f64 #s(literal 10 binary64) (/.f64 (*.f64 #s(literal -10 binary64) (+.f64 (/.f64 (*.f64 x (*.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64)))) y) x)) y)) y) |
(/ 10 y) |
(/.f64 #s(literal 10 binary64) y) |
(* -1 (/ (- (* 10 (/ x y)) 10) y)) |
(/.f64 (+.f64 #s(literal 10 binary64) (/.f64 (*.f64 x #s(literal -10 binary64)) y)) y) |
(* -1 (/ (- (* -1 (/ (- (* 10 (/ (pow x 2) y)) (* 10 x)) y)) 10) y)) |
(/.f64 (+.f64 #s(literal 10 binary64) (*.f64 #s(literal 10 binary64) (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64))) y))) y) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 10 (/ (pow x 3) y)) (* 10 (pow x 2))) y)) (* 10 x)) y)) 10) y)) |
(/.f64 (+.f64 #s(literal 10 binary64) (/.f64 (*.f64 #s(literal -10 binary64) (+.f64 (/.f64 (*.f64 x (*.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64)))) y) x)) y)) y) |
y |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
x |
(* x (+ 1 (/ y x))) |
(+.f64 y x) |
(* x (+ 1 (/ y x))) |
(+.f64 y x) |
(* x (+ 1 (/ y x))) |
(+.f64 y x) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 y x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 y x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 y x) |
x |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
y |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 y x) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 y x) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 y x) |
(* 1/10 x) |
(*.f64 #s(literal 1/10 binary64) x) |
(* 1/10 x) |
(*.f64 #s(literal 1/10 binary64) x) |
(* 1/10 x) |
(*.f64 #s(literal 1/10 binary64) x) |
(* 1/10 x) |
(*.f64 #s(literal 1/10 binary64) x) |
(* 1/10 x) |
(*.f64 #s(literal 1/10 binary64) x) |
(* 1/10 x) |
(*.f64 #s(literal 1/10 binary64) x) |
(* 1/10 x) |
(*.f64 #s(literal 1/10 binary64) x) |
(* 1/10 x) |
(*.f64 #s(literal 1/10 binary64) x) |
(* 1/10 x) |
(*.f64 #s(literal 1/10 binary64) x) |
(* 1/10 x) |
(*.f64 #s(literal 1/10 binary64) x) |
(* 1/10 x) |
(*.f64 #s(literal 1/10 binary64) x) |
(* 1/10 x) |
(*.f64 #s(literal 1/10 binary64) x) |
(* 1/10 y) |
(*.f64 #s(literal 1/10 binary64) y) |
(* 1/10 y) |
(*.f64 #s(literal 1/10 binary64) y) |
(* 1/10 y) |
(*.f64 #s(literal 1/10 binary64) y) |
(* 1/10 y) |
(*.f64 #s(literal 1/10 binary64) y) |
(* 1/10 y) |
(*.f64 #s(literal 1/10 binary64) y) |
(* 1/10 y) |
(*.f64 #s(literal 1/10 binary64) y) |
(* 1/10 y) |
(*.f64 #s(literal 1/10 binary64) y) |
(* 1/10 y) |
(*.f64 #s(literal 1/10 binary64) y) |
(* 1/10 y) |
(*.f64 #s(literal 1/10 binary64) y) |
(* 1/10 y) |
(*.f64 #s(literal 1/10 binary64) y) |
(* 1/10 y) |
(*.f64 #s(literal 1/10 binary64) y) |
(* 1/10 y) |
(*.f64 #s(literal 1/10 binary64) y) |
(* 1/10 x) |
(*.f64 #s(literal 1/10 binary64) x) |
(* 1/10 x) |
(*.f64 #s(literal 1/10 binary64) x) |
(* 1/10 x) |
(*.f64 #s(literal 1/10 binary64) x) |
(* 1/10 x) |
(*.f64 #s(literal 1/10 binary64) x) |
(* 1/10 x) |
(*.f64 #s(literal 1/10 binary64) x) |
(* 1/10 x) |
(*.f64 #s(literal 1/10 binary64) x) |
(* 1/10 x) |
(*.f64 #s(literal 1/10 binary64) x) |
(* 1/10 x) |
(*.f64 #s(literal 1/10 binary64) x) |
(* 1/10 x) |
(*.f64 #s(literal 1/10 binary64) x) |
(* 1/10 x) |
(*.f64 #s(literal 1/10 binary64) x) |
(* 1/10 x) |
(*.f64 #s(literal 1/10 binary64) x) |
(* 1/10 x) |
(*.f64 #s(literal 1/10 binary64) x) |
(* 1/10 y) |
(*.f64 #s(literal 1/10 binary64) y) |
(* 1/10 y) |
(*.f64 #s(literal 1/10 binary64) y) |
(* 1/10 y) |
(*.f64 #s(literal 1/10 binary64) y) |
(* 1/10 y) |
(*.f64 #s(literal 1/10 binary64) y) |
(* 1/10 y) |
(*.f64 #s(literal 1/10 binary64) y) |
(* 1/10 y) |
(*.f64 #s(literal 1/10 binary64) y) |
(* 1/10 y) |
(*.f64 #s(literal 1/10 binary64) y) |
(* 1/10 y) |
(*.f64 #s(literal 1/10 binary64) y) |
(* 1/10 y) |
(*.f64 #s(literal 1/10 binary64) y) |
(* 1/10 y) |
(*.f64 #s(literal 1/10 binary64) y) |
(* 1/10 y) |
(*.f64 #s(literal 1/10 binary64) y) |
(* 1/10 y) |
(*.f64 #s(literal 1/10 binary64) y) |
Compiled 12622 to 1646 computations (87% saved)
6 alts after pruning (1 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 723 | 1 | 724 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 725 | 6 | 731 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (+.f64 x y) #s(literal 10 binary64)) |
| ✓ | 52.4% | (/.f64 y #s(literal 10 binary64)) |
| ✓ | 48.4% | (/.f64 x #s(literal 10 binary64)) |
| ▶ | 100.0% | (-.f64 (/.f64 y #s(literal 10 binary64)) (/.f64 x #s(literal -10 binary64))) |
| ✓ | 52.1% | (*.f64 #s(literal 1/10 binary64) y) |
| ✓ | 48.2% | (*.f64 #s(literal 1/10 binary64) x) |
Compiled 36 to 28 computations (22.2% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 x #s(literal -10 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 y #s(literal 10 binary64)) |
| ✓ | cost-diff | 128 | (-.f64 (/.f64 y #s(literal 10 binary64)) (/.f64 x #s(literal -10 binary64))) |
| 362× | fnmadd-define |
| 266× | fnmsub-define |
| 266× | fmsub-define |
| 240× | fma-lowering-fma.f32 |
| 240× | fma-lowering-fma.f64 |
Useful iterations: 8 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 1 | 9 | 17 |
| 2 | 18 | 17 |
| 3 | 27 | 17 |
| 4 | 41 | 17 |
| 5 | 81 | 16 |
| 6 | 156 | 16 |
| 7 | 270 | 16 |
| 8 | 381 | 15 |
| 9 | 643 | 15 |
| 10 | 946 | 15 |
| 11 | 1142 | 15 |
| 12 | 1196 | 15 |
| 0 | 1196 | 15 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(- (/ y 10) (/ x -10)) |
(/ y 10) |
y |
10 |
(/ x -10) |
x |
-10 |
| Outputs |
|---|
(- (/ y 10) (/ x -10)) |
(*.f64 #s(literal 1/10 binary64) (+.f64 y x)) |
(/ y 10) |
(/.f64 y #s(literal 10 binary64)) |
y |
10 |
#s(literal 10 binary64) |
(/ x -10) |
(/.f64 x #s(literal -10 binary64)) |
x |
-10 |
#s(literal -10 binary64) |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 y #s(literal 10 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 x #s(literal -10 binary64)) |
| ✓ | accuracy | 100.0% | (-.f64 (/.f64 y #s(literal 10 binary64)) (/.f64 x #s(literal -10 binary64))) |
| 19.0ms | 256× | 0 | valid |
Compiled 20 to 8 computations (60% saved)
ival-div: 7.0ms (81.8% of total)ival-sub: 1.0ms (11.7% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (- (/ y 10) (/ x -10))> |
#<alt (/ y 10)> |
#<alt (/ x -10)> |
| Outputs |
|---|
#<alt (* 1/10 x)> |
#<alt (- (* 1/10 y) (* -1/10 x))> |
#<alt (- (* 1/10 y) (* -1/10 x))> |
#<alt (- (* 1/10 y) (* -1/10 x))> |
#<alt (* 1/10 y)> |
#<alt (* y (+ 1/10 (* 1/10 (/ x y))))> |
#<alt (* y (+ 1/10 (* 1/10 (/ x y))))> |
#<alt (* y (+ 1/10 (* 1/10 (/ x y))))> |
#<alt (* 1/10 y)> |
#<alt (* -1 (* y (- (* -1/10 (/ x y)) 1/10)))> |
#<alt (* -1 (* y (- (* -1/10 (/ x y)) 1/10)))> |
#<alt (* -1 (* y (- (* -1/10 (/ x y)) 1/10)))> |
#<alt (* 1/10 y)> |
#<alt (+ (* 1/10 x) (* 1/10 y))> |
#<alt (+ (* 1/10 x) (* 1/10 y))> |
#<alt (+ (* 1/10 x) (* 1/10 y))> |
#<alt (* 1/10 x)> |
#<alt (* x (+ 1/10 (* 1/10 (/ y x))))> |
#<alt (* x (+ 1/10 (* 1/10 (/ y x))))> |
#<alt (* x (+ 1/10 (* 1/10 (/ y x))))> |
#<alt (* 1/10 x)> |
#<alt (* -1 (* x (- (* -1/10 (/ y x)) 1/10)))> |
#<alt (* -1 (* x (- (* -1/10 (/ y x)) 1/10)))> |
#<alt (* -1 (* x (- (* -1/10 (/ y x)) 1/10)))> |
#<alt (* 1/10 y)> |
#<alt (* 1/10 y)> |
#<alt (* 1/10 y)> |
#<alt (* 1/10 y)> |
#<alt (* 1/10 y)> |
#<alt (* 1/10 y)> |
#<alt (* 1/10 y)> |
#<alt (* 1/10 y)> |
#<alt (* 1/10 y)> |
#<alt (* 1/10 y)> |
#<alt (* 1/10 y)> |
#<alt (* 1/10 y)> |
#<alt (* -1/10 x)> |
#<alt (* -1/10 x)> |
#<alt (* -1/10 x)> |
#<alt (* -1/10 x)> |
#<alt (* -1/10 x)> |
#<alt (* -1/10 x)> |
#<alt (* -1/10 x)> |
#<alt (* -1/10 x)> |
#<alt (* -1/10 x)> |
#<alt (* -1/10 x)> |
#<alt (* -1/10 x)> |
#<alt (* -1/10 x)> |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (- (/ y 10) (/ x -10)) |
| 0.0ms | y | @ | 0 | (- (/ y 10) (/ x -10)) |
| 0.0ms | y | @ | inf | (- (/ y 10) (/ x -10)) |
| 0.0ms | x | @ | inf | (- (/ y 10) (/ x -10)) |
| 0.0ms | x | @ | 0 | (/ x -10) |
| 1× | batch-egg-rewrite |
| 3496× | *-lowering-*.f32 |
| 3496× | *-lowering-*.f64 |
| 3252× | /-lowering-/.f32 |
| 3252× | /-lowering-/.f64 |
| 1682× | frac-add |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 13 |
| 1 | 45 | 12 |
| 2 | 450 | 11 |
| 0 | 8985 | 11 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (/ y 10) (/ x -10)) |
(/ y 10) |
(/ x -10) |
| Outputs |
|---|
(+.f64 (/.f64 y #s(literal 10 binary64)) (/.f64 x #s(literal 10 binary64))) |
(+.f64 (/.f64 y #s(literal 10 binary64)) (+.f64 (/.f64 x #s(literal 10 binary64)) (+.f64 (/.f64 x #s(literal 10 binary64)) (/.f64 x #s(literal -10 binary64))))) |
(+.f64 (/.f64 (+.f64 y x) #s(literal 10 binary64)) (+.f64 (/.f64 x #s(literal 10 binary64)) (/.f64 x #s(literal -10 binary64)))) |
(+.f64 (/.f64 (+.f64 y x) #s(literal 10 binary64)) (fma.f64 #s(literal -1/10 binary64) (-.f64 #s(literal 0 binary64) x) (/.f64 x #s(literal -10 binary64)))) |
(+.f64 (/.f64 (+.f64 y x) #s(literal 10 binary64)) (fma.f64 (/.f64 x #s(literal 10 binary64)) #s(literal 1 binary64) (/.f64 x #s(literal -10 binary64)))) |
(+.f64 (/.f64 (+.f64 y x) #s(literal 10 binary64)) (fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/10 binary64) (/.f64 x #s(literal -10 binary64)))) |
(+.f64 (/.f64 (+.f64 y x) #s(literal 10 binary64)) (+.f64 (+.f64 (/.f64 x #s(literal 10 binary64)) (/.f64 x #s(literal -10 binary64))) (+.f64 (/.f64 x #s(literal 10 binary64)) (/.f64 x #s(literal -10 binary64))))) |
(+.f64 (/.f64 x #s(literal 10 binary64)) (/.f64 y #s(literal 10 binary64))) |
(+.f64 (/.f64 x #s(literal 10 binary64)) (+.f64 (/.f64 y #s(literal 10 binary64)) (+.f64 (/.f64 x #s(literal 10 binary64)) (/.f64 x #s(literal -10 binary64))))) |
(+.f64 (/.f64 (*.f64 y #s(literal -10 binary64)) #s(literal -100 binary64)) (neg.f64 (/.f64 (*.f64 #s(literal 10 binary64) x) #s(literal -100 binary64)))) |
(+.f64 (/.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal 1000 binary64)) (+.f64 (/.f64 y (/.f64 #s(literal 100 binary64) y)) (/.f64 (/.f64 (-.f64 y x) #s(literal 10 binary64)) (/.f64 #s(literal -10 binary64) x)))) (neg.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal -1000 binary64)) (+.f64 (/.f64 y (/.f64 #s(literal 100 binary64) y)) (/.f64 (/.f64 (-.f64 y x) #s(literal 10 binary64)) (/.f64 #s(literal -10 binary64) x)))))) |
(+.f64 (/.f64 (/.f64 y (/.f64 #s(literal 100 binary64) y)) (/.f64 (-.f64 y x) #s(literal 10 binary64))) (neg.f64 (/.f64 (/.f64 x (/.f64 #s(literal 100 binary64) x)) (/.f64 (-.f64 y x) #s(literal 10 binary64))))) |
(-.f64 (/.f64 y #s(literal 10 binary64)) (/.f64 x #s(literal -10 binary64))) |
(-.f64 (/.f64 y #s(literal 10 binary64)) (-.f64 (/.f64 x #s(literal -10 binary64)) (+.f64 (/.f64 x #s(literal 10 binary64)) (/.f64 x #s(literal -10 binary64))))) |
(-.f64 (/.f64 x #s(literal 10 binary64)) (/.f64 y #s(literal -10 binary64))) |
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 x #s(literal -10 binary64)) (/.f64 y #s(literal 10 binary64)))) |
(-.f64 (/.f64 (*.f64 y #s(literal -10 binary64)) #s(literal -100 binary64)) (/.f64 (*.f64 #s(literal 10 binary64) x) #s(literal -100 binary64))) |
(-.f64 (/.f64 (*.f64 y #s(literal -10 binary64)) #s(literal -100 binary64)) (-.f64 (/.f64 (*.f64 #s(literal 10 binary64) x) #s(literal -100 binary64)) (+.f64 (/.f64 x #s(literal 10 binary64)) (/.f64 x #s(literal -10 binary64))))) |
(-.f64 (/.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal 1000 binary64)) (+.f64 (/.f64 y (/.f64 #s(literal 100 binary64) y)) (/.f64 (/.f64 (-.f64 y x) #s(literal 10 binary64)) (/.f64 #s(literal -10 binary64) x)))) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal -1000 binary64)) (+.f64 (/.f64 y (/.f64 #s(literal 100 binary64) y)) (/.f64 (/.f64 (-.f64 y x) #s(literal 10 binary64)) (/.f64 #s(literal -10 binary64) x))))) |
(-.f64 (/.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal 1000 binary64)) (+.f64 (/.f64 y (/.f64 #s(literal 100 binary64) y)) (/.f64 (/.f64 (-.f64 y x) #s(literal 10 binary64)) (/.f64 #s(literal -10 binary64) x)))) (-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal -1000 binary64)) (+.f64 (/.f64 y (/.f64 #s(literal 100 binary64) y)) (/.f64 (/.f64 (-.f64 y x) #s(literal 10 binary64)) (/.f64 #s(literal -10 binary64) x)))) (+.f64 (/.f64 x #s(literal 10 binary64)) (/.f64 x #s(literal -10 binary64))))) |
(-.f64 (/.f64 (/.f64 y (/.f64 #s(literal 100 binary64) y)) (/.f64 (-.f64 y x) #s(literal 10 binary64))) (/.f64 (/.f64 x (/.f64 #s(literal 100 binary64) x)) (/.f64 (-.f64 y x) #s(literal 10 binary64)))) |
(-.f64 (/.f64 (/.f64 y (/.f64 #s(literal 100 binary64) y)) (/.f64 (-.f64 y x) #s(literal 10 binary64))) (-.f64 (/.f64 (/.f64 x (/.f64 #s(literal 100 binary64) x)) (/.f64 (-.f64 y x) #s(literal 10 binary64))) (+.f64 (/.f64 x #s(literal 10 binary64)) (/.f64 x #s(literal -10 binary64))))) |
(-.f64 (/.f64 (*.f64 y #s(literal 10 binary64)) #s(literal 100 binary64)) (/.f64 (*.f64 #s(literal 10 binary64) x) #s(literal -100 binary64))) |
(-.f64 (/.f64 (/.f64 y (/.f64 x #s(literal -10 binary64))) (/.f64 #s(literal -100 binary64) x)) (/.f64 #s(literal 10 binary64) (/.f64 #s(literal -100 binary64) x))) |
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 10 binary64)) #s(literal -100 binary64)) (/.f64 (*.f64 #s(literal 10 binary64) x) #s(literal -100 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -10 binary64)) x) (/.f64 #s(literal 100 binary64) x)) (/.f64 #s(literal -10 binary64) (/.f64 #s(literal 100 binary64) x))) |
(-.f64 (/.f64 #s(literal -10 binary64) (/.f64 #s(literal -100 binary64) y)) (/.f64 (/.f64 x (/.f64 y #s(literal 10 binary64))) (/.f64 #s(literal -100 binary64) y))) |
(-.f64 (/.f64 #s(literal 10 binary64) (/.f64 #s(literal 100 binary64) y)) (/.f64 (/.f64 (*.f64 x #s(literal -10 binary64)) y) (/.f64 #s(literal 100 binary64) y))) |
(-.f64 (/.f64 (/.f64 #s(literal -10 binary64) x) (/.f64 (/.f64 #s(literal -100 binary64) x) y)) (/.f64 (/.f64 #s(literal 10 binary64) y) (/.f64 (/.f64 #s(literal -100 binary64) x) y))) |
(-.f64 (+.f64 (/.f64 y #s(literal 10 binary64)) #s(literal 0 binary64)) (/.f64 x #s(literal -10 binary64))) |
(fma.f64 y #s(literal 1/10 binary64) (/.f64 x #s(literal 10 binary64))) |
(fma.f64 x #s(literal 1/10 binary64) (/.f64 y #s(literal 10 binary64))) |
(fma.f64 (*.f64 #s(literal -10 binary64) (+.f64 y x)) #s(literal -1/100 binary64) (+.f64 (/.f64 x #s(literal 10 binary64)) (/.f64 x #s(literal -10 binary64)))) |
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/10 binary64) (/.f64 y #s(literal 10 binary64))) |
(fma.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1/10 binary64) (/.f64 x #s(literal 10 binary64))) |
(fma.f64 (+.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal 1000 binary64)) (/.f64 (*.f64 x (*.f64 x x)) #s(literal 1000 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (/.f64 #s(literal 100 binary64) y)) (/.f64 (/.f64 (-.f64 y x) #s(literal 10 binary64)) (/.f64 #s(literal -10 binary64) x)))) (+.f64 (/.f64 x #s(literal 10 binary64)) (/.f64 x #s(literal -10 binary64)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 y #s(literal 10 binary64)) (/.f64 x #s(literal 10 binary64))) |
(fma.f64 #s(literal 1/10 binary64) y (/.f64 x #s(literal 10 binary64))) |
(fma.f64 (/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) #s(literal 100 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) #s(literal 10 binary64))) (+.f64 (/.f64 x #s(literal 10 binary64)) (/.f64 x #s(literal -10 binary64)))) |
(fma.f64 #s(literal -1 binary64) (/.f64 x #s(literal -10 binary64)) (/.f64 y #s(literal 10 binary64))) |
(neg.f64 (+.f64 (/.f64 y #s(literal -10 binary64)) (/.f64 x #s(literal -10 binary64)))) |
(neg.f64 (+.f64 (/.f64 x #s(literal -10 binary64)) (/.f64 y #s(literal -10 binary64)))) |
(neg.f64 (/.f64 (*.f64 #s(literal -10 binary64) (+.f64 y x)) #s(literal 100 binary64))) |
(neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal 1000 binary64)) (/.f64 (*.f64 x (*.f64 x x)) #s(literal 1000 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 y (/.f64 #s(literal 100 binary64) y)) (/.f64 (/.f64 (-.f64 y x) #s(literal 10 binary64)) (/.f64 #s(literal -10 binary64) x)))))) |
(neg.f64 (/.f64 (/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) #s(literal 100 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 y x) #s(literal 10 binary64))))) |
(neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal 1000 binary64))) (/.f64 (*.f64 x (*.f64 x x)) #s(literal -1000 binary64))) (+.f64 (/.f64 y (/.f64 #s(literal 100 binary64) y)) (/.f64 (/.f64 (-.f64 y x) #s(literal 10 binary64)) (/.f64 #s(literal -10 binary64) x))))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) #s(literal 100 binary64))) (/.f64 (-.f64 y x) #s(literal 10 binary64)))) |
(/.f64 (*.f64 #s(literal -10 binary64) (+.f64 y x)) #s(literal -100 binary64)) |
(/.f64 (+.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal 1000 binary64)) (/.f64 (*.f64 x (*.f64 x x)) #s(literal 1000 binary64))) (+.f64 (/.f64 y (/.f64 #s(literal 100 binary64) y)) (/.f64 (/.f64 (-.f64 y x) #s(literal 10 binary64)) (/.f64 #s(literal -10 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -100 binary64) (*.f64 #s(literal -10 binary64) (+.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -100 binary64) (*.f64 #s(literal -10 binary64) (+.f64 y x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -10 binary64) (-.f64 (-.f64 #s(literal 0 binary64) y) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 10 binary64) (+.f64 y x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 100 binary64) (+.f64 (*.f64 y #s(literal 10 binary64)) (*.f64 #s(literal 10 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -100 binary64) x) (+.f64 (/.f64 y (/.f64 x #s(literal -10 binary64))) #s(literal -10 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -100 binary64) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 10 binary64)) (*.f64 x #s(literal -10 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 100 binary64) x) (+.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -10 binary64)) x) #s(literal 10 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -100 binary64) y) (+.f64 #s(literal -10 binary64) (/.f64 (*.f64 x #s(literal -10 binary64)) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 100 binary64) y) (-.f64 #s(literal 10 binary64) (/.f64 (*.f64 x #s(literal -10 binary64)) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal -100 binary64) x) y) (+.f64 (/.f64 #s(literal -10 binary64) x) (/.f64 #s(literal -10 binary64) y)))) |
(/.f64 (/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) #s(literal 100 binary64)) (/.f64 (-.f64 y x) #s(literal 10 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -100 binary64) (*.f64 #s(literal -10 binary64) (+.f64 y x))))) |
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) y) x) #s(literal -10 binary64)) |
(/.f64 (+.f64 y x) #s(literal 10 binary64)) |
(/.f64 (+.f64 (*.f64 y #s(literal 10 binary64)) (*.f64 #s(literal 10 binary64) x)) #s(literal 100 binary64)) |
(/.f64 (+.f64 (/.f64 y (/.f64 x #s(literal -10 binary64))) #s(literal -10 binary64)) (/.f64 #s(literal -100 binary64) x)) |
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 10 binary64)) (*.f64 x #s(literal -10 binary64))) #s(literal -100 binary64)) |
(/.f64 (+.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -10 binary64)) x) #s(literal 10 binary64)) (/.f64 #s(literal 100 binary64) x)) |
(/.f64 (+.f64 #s(literal -10 binary64) (/.f64 (*.f64 x #s(literal -10 binary64)) y)) (/.f64 #s(literal -100 binary64) y)) |
(/.f64 (+.f64 #s(literal -10 binary64) (/.f64 (*.f64 x #s(literal -10 binary64)) y)) (*.f64 (/.f64 #s(literal -10 binary64) y) #s(literal 10 binary64))) |
(/.f64 (-.f64 #s(literal 10 binary64) (/.f64 (*.f64 x #s(literal -10 binary64)) y)) (/.f64 #s(literal 100 binary64) y)) |
(/.f64 (-.f64 #s(literal 10 binary64) (/.f64 (*.f64 x #s(literal -10 binary64)) y)) (*.f64 (/.f64 #s(literal -10 binary64) y) #s(literal -10 binary64))) |
(/.f64 (+.f64 (/.f64 #s(literal -10 binary64) x) (/.f64 #s(literal -10 binary64) y)) (/.f64 (/.f64 #s(literal -100 binary64) x) y)) |
(/.f64 (+.f64 (/.f64 #s(literal -10 binary64) x) (/.f64 #s(literal -10 binary64) y)) (*.f64 (/.f64 #s(literal -10 binary64) y) (/.f64 #s(literal 10 binary64) x))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -10 binary64) (+.f64 y x))) #s(literal 100 binary64)) |
(/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal 1000 binary64))) (/.f64 (*.f64 x (*.f64 x x)) #s(literal -1000 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 y (/.f64 #s(literal 100 binary64) y)) (/.f64 (/.f64 (-.f64 y x) #s(literal 10 binary64)) (/.f64 #s(literal -10 binary64) x))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) #s(literal 100 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 y x) #s(literal 10 binary64)))) |
(/.f64 (+.f64 (*.f64 y (/.f64 #s(literal 10 binary64) x)) #s(literal 10 binary64)) (*.f64 #s(literal 10 binary64) (/.f64 #s(literal 10 binary64) x))) |
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 10 binary64) x)) #s(literal -10 binary64)) (*.f64 #s(literal -10 binary64) (/.f64 #s(literal 10 binary64) x))) |
(/.f64 (+.f64 #s(literal 10 binary64) (/.f64 x (/.f64 y #s(literal 10 binary64)))) (/.f64 #s(literal 100 binary64) y)) |
(/.f64 (+.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 10 binary64) x)) (/.f64 #s(literal 10 binary64) y)) (*.f64 (/.f64 #s(literal 10 binary64) y) (/.f64 #s(literal 10 binary64) x))) |
(/.f64 (+.f64 (/.f64 #s(literal -10 binary64) x) (*.f64 (/.f64 #s(literal 10 binary64) y) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -100 binary64) x) y)) |
(/.f64 (+.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 (/.f64 #s(literal -10 binary64) y) #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal -10 binary64) y) (/.f64 #s(literal -10 binary64) x))) |
(/.f64 (+.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 #s(literal 10 binary64) y)) #s(literal 100 binary64)) |
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(*.f64 (*.f64 #s(literal -10 binary64) (+.f64 y x)) #s(literal -1/100 binary64)) |
(*.f64 (+.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal 1000 binary64)) (/.f64 (*.f64 x (*.f64 x x)) #s(literal 1000 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (/.f64 #s(literal 100 binary64) y)) (/.f64 (/.f64 (-.f64 y x) #s(literal 10 binary64)) (/.f64 #s(literal -10 binary64) x))))) |
(*.f64 (+.f64 (/.f64 y (/.f64 #s(literal 100 binary64) y)) (/.f64 (/.f64 (-.f64 y x) #s(literal 10 binary64)) (/.f64 #s(literal -10 binary64) x))) (*.f64 (/.f64 (+.f64 y x) #s(literal 10 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (/.f64 #s(literal 100 binary64) y)) (/.f64 (/.f64 (-.f64 y x) #s(literal 10 binary64)) (/.f64 #s(literal -10 binary64) x)))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) #s(literal 10 binary64))) |
(*.f64 #s(literal -1/10 binary64) (-.f64 (-.f64 #s(literal 0 binary64) y) x)) |
(*.f64 #s(literal -1/10 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) y))) |
(*.f64 #s(literal 1/10 binary64) (+.f64 y x)) |
(*.f64 #s(literal 1/10 binary64) (+.f64 x y)) |
(*.f64 (/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) #s(literal 100 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) #s(literal 10 binary64)))) |
(*.f64 (/.f64 (-.f64 y x) #s(literal 10 binary64)) (*.f64 (/.f64 (+.f64 y x) #s(literal 10 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) #s(literal 10 binary64))))) |
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) y) x) #s(literal -1/10 binary64)) |
(*.f64 (+.f64 y x) #s(literal 1/10 binary64)) |
(*.f64 (+.f64 (*.f64 y #s(literal 10 binary64)) (*.f64 #s(literal 10 binary64) x)) #s(literal 1/100 binary64)) |
(*.f64 (+.f64 (/.f64 y (/.f64 x #s(literal -10 binary64))) #s(literal -10 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -100 binary64) x))) |
(*.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 10 binary64)) (*.f64 x #s(literal -10 binary64))) #s(literal -1/100 binary64)) |
(*.f64 (+.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -10 binary64)) x) #s(literal 10 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 100 binary64) x))) |
(*.f64 (+.f64 #s(literal -10 binary64) (/.f64 (*.f64 x #s(literal -10 binary64)) y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -100 binary64) y))) |
(*.f64 (-.f64 #s(literal 10 binary64) (/.f64 (*.f64 x #s(literal -10 binary64)) y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 100 binary64) y))) |
(*.f64 (+.f64 (/.f64 #s(literal -10 binary64) x) (/.f64 #s(literal -10 binary64) y)) (/.f64 y (/.f64 #s(literal -100 binary64) x))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -10 binary64) (+.f64 y x))) #s(literal 1/100 binary64)) |
(*.f64 (+.f64 (neg.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal 1000 binary64))) (/.f64 (*.f64 x (*.f64 x x)) #s(literal -1000 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 y (/.f64 #s(literal 100 binary64) y)) (/.f64 (/.f64 (-.f64 y x) #s(literal 10 binary64)) (/.f64 #s(literal -10 binary64) x)))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) #s(literal 100 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 y x) #s(literal 10 binary64))))) |
(*.f64 #s(literal -1/100 binary64) (*.f64 #s(literal -10 binary64) (+.f64 y x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (/.f64 #s(literal 100 binary64) y)) (/.f64 (/.f64 (-.f64 y x) #s(literal 10 binary64)) (/.f64 #s(literal -10 binary64) x)))) (+.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal 1000 binary64)) (/.f64 (*.f64 x (*.f64 x x)) #s(literal 1000 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) #s(literal 10 binary64))) (/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) #s(literal 100 binary64))) |
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) #s(literal 100 binary64)) (/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) #s(literal 100 binary64))) (/.f64 (+.f64 y x) #s(literal 10 binary64))) |
(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal 1000 binary64)) (/.f64 (*.f64 x (*.f64 x x)) #s(literal 1000 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1/1000000 binary64)) (*.f64 (/.f64 (/.f64 (-.f64 y x) #s(literal 10 binary64)) (/.f64 #s(literal -10 binary64) x)) (*.f64 (/.f64 x (/.f64 #s(literal 100 binary64) x)) (*.f64 (/.f64 (-.f64 y x) #s(literal 10 binary64)) (/.f64 (-.f64 y x) #s(literal 10 binary64))))))) (+.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/10000 binary64)) (*.f64 (/.f64 (/.f64 (-.f64 y x) #s(literal 10 binary64)) (/.f64 #s(literal -10 binary64) x)) (-.f64 (/.f64 (/.f64 (-.f64 y x) #s(literal 10 binary64)) (/.f64 #s(literal -10 binary64) x)) (/.f64 y (/.f64 #s(literal 100 binary64) y)))))) |
(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal 1000 binary64)) (/.f64 (*.f64 x (*.f64 x x)) #s(literal 1000 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/10000 binary64)) (*.f64 (/.f64 x (/.f64 #s(literal 100 binary64) x)) (*.f64 (/.f64 (-.f64 y x) #s(literal 10 binary64)) (/.f64 (-.f64 y x) #s(literal 10 binary64)))))) (+.f64 (/.f64 y (/.f64 #s(literal 100 binary64) y)) (*.f64 (/.f64 x #s(literal 10 binary64)) (/.f64 (-.f64 y x) #s(literal 10 binary64))))) |
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) #s(literal 100 binary64)) (+.f64 (*.f64 y #s(literal -10 binary64)) (*.f64 #s(literal 10 binary64) x))) #s(literal -100 binary64)) |
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) #s(literal 100 binary64)) (+.f64 (*.f64 y #s(literal 10 binary64)) (*.f64 x #s(literal -10 binary64)))) #s(literal 100 binary64)) |
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) #s(literal 100 binary64)) (+.f64 (/.f64 y (/.f64 x #s(literal -10 binary64))) #s(literal 10 binary64))) (/.f64 #s(literal -100 binary64) x)) |
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) #s(literal 100 binary64)) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -10 binary64)) (*.f64 x #s(literal -10 binary64)))) #s(literal 100 binary64)) |
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) #s(literal 100 binary64)) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 10 binary64)) (*.f64 #s(literal 10 binary64) x))) #s(literal -100 binary64)) |
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) #s(literal 100 binary64)) (+.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -10 binary64)) x) #s(literal -10 binary64))) (/.f64 #s(literal 100 binary64) x)) |
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) #s(literal 100 binary64)) (+.f64 #s(literal -10 binary64) (/.f64 x (/.f64 y #s(literal 10 binary64))))) (/.f64 #s(literal -100 binary64) y)) |
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) #s(literal 100 binary64)) (+.f64 #s(literal 10 binary64) (/.f64 (*.f64 x #s(literal -10 binary64)) y))) (/.f64 #s(literal 100 binary64) y)) |
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) #s(literal 100 binary64)) (+.f64 (/.f64 #s(literal -10 binary64) x) (/.f64 #s(literal 10 binary64) y))) (/.f64 (/.f64 #s(literal -100 binary64) x) y)) |
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) #s(literal 100 binary64)) (+.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal 1000 binary64)) (/.f64 (*.f64 x (*.f64 x x)) #s(literal -1000 binary64)))) (+.f64 (/.f64 y (/.f64 #s(literal 100 binary64) y)) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) y) (/.f64 #s(literal -100 binary64) x)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 10 binary64) y)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 y #s(literal -10 binary64))) |
(neg.f64 (/.f64 y #s(literal -10 binary64))) |
(neg.f64 (*.f64 (/.f64 y #s(literal -10 binary64)) #s(literal 1 binary64))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 y #s(literal -10 binary64)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 10 binary64) y))) |
(/.f64 y #s(literal 10 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -10 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 10 binary64) y)) |
(/.f64 #s(literal 1/10 binary64) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -10 binary64) y)) |
(pow.f64 (/.f64 #s(literal 10 binary64) y) #s(literal -1 binary64)) |
(*.f64 y #s(literal 1/10 binary64)) |
(*.f64 (/.f64 y #s(literal 10 binary64)) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1/10 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 y #s(literal 10 binary64))) |
(*.f64 #s(literal -1/10 binary64) (-.f64 #s(literal 0 binary64) y)) |
(*.f64 #s(literal 1/10 binary64) y) |
(*.f64 #s(literal 1/10 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 y #s(literal -10 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 10 binary64) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 10 binary64) y) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -10 binary64) x)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 x #s(literal 10 binary64))) |
(neg.f64 (/.f64 x #s(literal 10 binary64))) |
(neg.f64 (*.f64 (/.f64 x #s(literal 10 binary64)) #s(literal 1 binary64))) |
(/.f64 x #s(literal -10 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 10 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -10 binary64) x)) |
(/.f64 #s(literal -1/10 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 10 binary64) x)) |
(pow.f64 (/.f64 #s(literal -10 binary64) x) #s(literal -1 binary64)) |
(*.f64 x #s(literal -1/10 binary64)) |
(*.f64 (/.f64 x #s(literal -10 binary64)) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/10 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 x #s(literal -10 binary64))) |
(*.f64 #s(literal -1/10 binary64) x) |
(*.f64 #s(literal -1/10 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 #s(literal 1/10 binary64) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 10 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -10 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -10 binary64) x) #s(literal -1/2 binary64))) |
| 1× | egg-herbie |
| 2198× | *-lowering-*.f32 |
| 2198× | *-lowering-*.f64 |
| 1670× | /-lowering-/.f32 |
| 1670× | /-lowering-/.f64 |
| 1518× | fnmadd-define |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 180 |
| 1 | 78 | 180 |
| 2 | 192 | 180 |
| 3 | 451 | 180 |
| 4 | 1083 | 180 |
| 5 | 2780 | 180 |
| 0 | 8176 | 180 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/10 x) |
(- (* 1/10 y) (* -1/10 x)) |
(- (* 1/10 y) (* -1/10 x)) |
(- (* 1/10 y) (* -1/10 x)) |
(* 1/10 y) |
(* y (+ 1/10 (* 1/10 (/ x y)))) |
(* y (+ 1/10 (* 1/10 (/ x y)))) |
(* y (+ 1/10 (* 1/10 (/ x y)))) |
(* 1/10 y) |
(* -1 (* y (- (* -1/10 (/ x y)) 1/10))) |
(* -1 (* y (- (* -1/10 (/ x y)) 1/10))) |
(* -1 (* y (- (* -1/10 (/ x y)) 1/10))) |
(* 1/10 y) |
(+ (* 1/10 x) (* 1/10 y)) |
(+ (* 1/10 x) (* 1/10 y)) |
(+ (* 1/10 x) (* 1/10 y)) |
(* 1/10 x) |
(* x (+ 1/10 (* 1/10 (/ y x)))) |
(* x (+ 1/10 (* 1/10 (/ y x)))) |
(* x (+ 1/10 (* 1/10 (/ y x)))) |
(* 1/10 x) |
(* -1 (* x (- (* -1/10 (/ y x)) 1/10))) |
(* -1 (* x (- (* -1/10 (/ y x)) 1/10))) |
(* -1 (* x (- (* -1/10 (/ y x)) 1/10))) |
(* 1/10 y) |
(* 1/10 y) |
(* 1/10 y) |
(* 1/10 y) |
(* 1/10 y) |
(* 1/10 y) |
(* 1/10 y) |
(* 1/10 y) |
(* 1/10 y) |
(* 1/10 y) |
(* 1/10 y) |
(* 1/10 y) |
(* -1/10 x) |
(* -1/10 x) |
(* -1/10 x) |
(* -1/10 x) |
(* -1/10 x) |
(* -1/10 x) |
(* -1/10 x) |
(* -1/10 x) |
(* -1/10 x) |
(* -1/10 x) |
(* -1/10 x) |
(* -1/10 x) |
| Outputs |
|---|
(* 1/10 x) |
(*.f64 #s(literal 1/10 binary64) x) |
(- (* 1/10 y) (* -1/10 x)) |
(*.f64 #s(literal 1/10 binary64) (+.f64 x y)) |
(- (* 1/10 y) (* -1/10 x)) |
(*.f64 #s(literal 1/10 binary64) (+.f64 x y)) |
(- (* 1/10 y) (* -1/10 x)) |
(*.f64 #s(literal 1/10 binary64) (+.f64 x y)) |
(* 1/10 y) |
(*.f64 #s(literal 1/10 binary64) y) |
(* y (+ 1/10 (* 1/10 (/ x y)))) |
(*.f64 #s(literal 1/10 binary64) (+.f64 x y)) |
(* y (+ 1/10 (* 1/10 (/ x y)))) |
(*.f64 #s(literal 1/10 binary64) (+.f64 x y)) |
(* y (+ 1/10 (* 1/10 (/ x y)))) |
(*.f64 #s(literal 1/10 binary64) (+.f64 x y)) |
(* 1/10 y) |
(*.f64 #s(literal 1/10 binary64) y) |
(* -1 (* y (- (* -1/10 (/ x y)) 1/10))) |
(*.f64 #s(literal 1/10 binary64) (+.f64 x y)) |
(* -1 (* y (- (* -1/10 (/ x y)) 1/10))) |
(*.f64 #s(literal 1/10 binary64) (+.f64 x y)) |
(* -1 (* y (- (* -1/10 (/ x y)) 1/10))) |
(*.f64 #s(literal 1/10 binary64) (+.f64 x y)) |
(* 1/10 y) |
(*.f64 #s(literal 1/10 binary64) y) |
(+ (* 1/10 x) (* 1/10 y)) |
(*.f64 #s(literal 1/10 binary64) (+.f64 x y)) |
(+ (* 1/10 x) (* 1/10 y)) |
(*.f64 #s(literal 1/10 binary64) (+.f64 x y)) |
(+ (* 1/10 x) (* 1/10 y)) |
(*.f64 #s(literal 1/10 binary64) (+.f64 x y)) |
(* 1/10 x) |
(*.f64 #s(literal 1/10 binary64) x) |
(* x (+ 1/10 (* 1/10 (/ y x)))) |
(*.f64 #s(literal 1/10 binary64) (+.f64 x y)) |
(* x (+ 1/10 (* 1/10 (/ y x)))) |
(*.f64 #s(literal 1/10 binary64) (+.f64 x y)) |
(* x (+ 1/10 (* 1/10 (/ y x)))) |
(*.f64 #s(literal 1/10 binary64) (+.f64 x y)) |
(* 1/10 x) |
(*.f64 #s(literal 1/10 binary64) x) |
(* -1 (* x (- (* -1/10 (/ y x)) 1/10))) |
(*.f64 #s(literal 1/10 binary64) (+.f64 x y)) |
(* -1 (* x (- (* -1/10 (/ y x)) 1/10))) |
(*.f64 #s(literal 1/10 binary64) (+.f64 x y)) |
(* -1 (* x (- (* -1/10 (/ y x)) 1/10))) |
(*.f64 #s(literal 1/10 binary64) (+.f64 x y)) |
(* 1/10 y) |
(*.f64 #s(literal 1/10 binary64) y) |
(* 1/10 y) |
(*.f64 #s(literal 1/10 binary64) y) |
(* 1/10 y) |
(*.f64 #s(literal 1/10 binary64) y) |
(* 1/10 y) |
(*.f64 #s(literal 1/10 binary64) y) |
(* 1/10 y) |
(*.f64 #s(literal 1/10 binary64) y) |
(* 1/10 y) |
(*.f64 #s(literal 1/10 binary64) y) |
(* 1/10 y) |
(*.f64 #s(literal 1/10 binary64) y) |
(* 1/10 y) |
(*.f64 #s(literal 1/10 binary64) y) |
(* 1/10 y) |
(*.f64 #s(literal 1/10 binary64) y) |
(* 1/10 y) |
(*.f64 #s(literal 1/10 binary64) y) |
(* 1/10 y) |
(*.f64 #s(literal 1/10 binary64) y) |
(* 1/10 y) |
(*.f64 #s(literal 1/10 binary64) y) |
(* -1/10 x) |
(*.f64 x #s(literal -1/10 binary64)) |
(* -1/10 x) |
(*.f64 x #s(literal -1/10 binary64)) |
(* -1/10 x) |
(*.f64 x #s(literal -1/10 binary64)) |
(* -1/10 x) |
(*.f64 x #s(literal -1/10 binary64)) |
(* -1/10 x) |
(*.f64 x #s(literal -1/10 binary64)) |
(* -1/10 x) |
(*.f64 x #s(literal -1/10 binary64)) |
(* -1/10 x) |
(*.f64 x #s(literal -1/10 binary64)) |
(* -1/10 x) |
(*.f64 x #s(literal -1/10 binary64)) |
(* -1/10 x) |
(*.f64 x #s(literal -1/10 binary64)) |
(* -1/10 x) |
(*.f64 x #s(literal -1/10 binary64)) |
(* -1/10 x) |
(*.f64 x #s(literal -1/10 binary64)) |
(* -1/10 x) |
(*.f64 x #s(literal -1/10 binary64)) |
Compiled 4510 to 639 computations (85.8% saved)
6 alts after pruning (0 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 271 | 0 | 271 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 5 | 5 |
| Total | 271 | 6 | 277 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (+.f64 x y) #s(literal 10 binary64)) |
| ✓ | 52.4% | (/.f64 y #s(literal 10 binary64)) |
| ✓ | 48.4% | (/.f64 x #s(literal 10 binary64)) |
| ✓ | 100.0% | (-.f64 (/.f64 y #s(literal 10 binary64)) (/.f64 x #s(literal -10 binary64))) |
| ✓ | 52.1% | (*.f64 #s(literal 1/10 binary64) y) |
| ✓ | 48.2% | (*.f64 #s(literal 1/10 binary64) x) |
Compiled 76 to 47 computations (38.2% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/10 binary64) x) |
(*.f64 #s(literal 1/10 binary64) y) |
(/.f64 x #s(literal 10 binary64)) |
(/.f64 y #s(literal 10 binary64)) |
(/.f64 (+.f64 x y) #s(literal 10 binary64)) |
(+.f64 (*.f64 y #s(literal 1/10 binary64)) (*.f64 x #s(literal 1/10 binary64))) |
(-.f64 (/.f64 y #s(literal 10 binary64)) (/.f64 x #s(literal -10 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 10 binary64) (+.f64 x y))) |
| Outputs |
|---|
(/.f64 (+.f64 x y) #s(literal 10 binary64)) |
4 calls:
| 3.0ms | (+.f64 x y) |
| 3.0ms | (/.f64 (+.f64 x y) #s(literal 10 binary64)) |
| 3.0ms | x |
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | (/.f64 (+.f64 x y) #s(literal 10 binary64)) |
| 100.0% | 1 | (+.f64 x y) |
Compiled 18 to 12 computations (33.3% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/10 binary64) x) |
(*.f64 #s(literal 1/10 binary64) y) |
(/.f64 x #s(literal 10 binary64)) |
(/.f64 y #s(literal 10 binary64)) |
| Outputs |
|---|
(/.f64 x #s(literal 10 binary64)) |
(/.f64 y #s(literal 10 binary64)) |
2 calls:
| 4.0ms | y |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.8% | 2 | x |
| 85.7% | 2 | y |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/10 binary64) x) |
(*.f64 #s(literal 1/10 binary64) y) |
(/.f64 x #s(literal 10 binary64)) |
| Outputs |
|---|
(/.f64 x #s(literal 10 binary64)) |
(*.f64 #s(literal 1/10 binary64) y) |
1 calls:
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.4% | 2 | y |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/10 binary64) x) |
(*.f64 #s(literal 1/10 binary64) y) |
| Outputs |
|---|
(*.f64 #s(literal 1/10 binary64) x) |
(*.f64 #s(literal 1/10 binary64) y) |
1 calls:
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.2% | 2 | y |
Compiled 3 to 2 computations (33.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(*.f64 #s(literal 1/10 binary64) x) |
| Outputs |
|---|
(*.f64 #s(literal 1/10 binary64) x) |
2 calls:
| 1.0ms | x |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.2% | 1 | x |
| 48.2% | 1 | y |
Compiled 6 to 4 computations (33.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 7.0ms | 1.0898326776857246e-126 | 1.684703014952655e-125 |
| 4.0ms | 96× | 0 | valid |
Compiled 84 to 69 computations (17.9% saved)
ival-div: 1.0ms (69.4% of total)ival-add: 1.0ms (69.4% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 1.0898326776857246e-126 | 1.684703014952655e-125 |
| 5.0ms | 96× | 0 | valid |
Compiled 84 to 69 computations (17.9% saved)
ival-add: 2.0ms (82.6% of total)ival-div: 1.0ms (41.3% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 7.0ms | 1.0898326776857246e-126 | 1.684703014952655e-125 |
| 4.0ms | 96× | 0 | valid |
Compiled 84 to 69 computations (17.9% saved)
ival-div: 1.0ms (70.7% of total)ival-add: 1.0ms (70.7% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | egg-herbie |
| 4× | *-commutative_binary64 |
| 2× | +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 38 |
| 1 | 18 | 38 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (+.f64 x y) #s(literal 10 binary64)) |
(if (<=.f64 y #s(literal 3143850773938835/190536410541747572716161940294993060653600960856016305594430966774009505543198585212421026798308836130360530463953040948208494609331560382464 binary64)) (/.f64 x #s(literal 10 binary64)) (/.f64 y #s(literal 10 binary64))) |
(if (<=.f64 y #s(literal 3143850773938835/190536410541747572716161940294993060653600960856016305594430966774009505543198585212421026798308836130360530463953040948208494609331560382464 binary64)) (/.f64 x #s(literal 10 binary64)) (*.f64 #s(literal 1/10 binary64) y)) |
(if (<=.f64 y #s(literal 3143850773938835/190536410541747572716161940294993060653600960856016305594430966774009505543198585212421026798308836130360530463953040948208494609331560382464 binary64)) (*.f64 #s(literal 1/10 binary64) x) (*.f64 #s(literal 1/10 binary64) y)) |
(*.f64 #s(literal 1/10 binary64) x) |
| Outputs |
|---|
(/.f64 (+.f64 x y) #s(literal 10 binary64)) |
(if (<=.f64 y #s(literal 3143850773938835/190536410541747572716161940294993060653600960856016305594430966774009505543198585212421026798308836130360530463953040948208494609331560382464 binary64)) (/.f64 x #s(literal 10 binary64)) (/.f64 y #s(literal 10 binary64))) |
(if (<=.f64 y #s(literal 3143850773938835/190536410541747572716161940294993060653600960856016305594430966774009505543198585212421026798308836130360530463953040948208494609331560382464 binary64)) (/.f64 x #s(literal 10 binary64)) (*.f64 #s(literal 1/10 binary64) y)) |
(if (<=.f64 y #s(literal 3143850773938835/190536410541747572716161940294993060653600960856016305594430966774009505543198585212421026798308836130360530463953040948208494609331560382464 binary64)) (/.f64 x #s(literal 10 binary64)) (*.f64 y #s(literal 1/10 binary64))) |
(if (<=.f64 y #s(literal 3143850773938835/190536410541747572716161940294993060653600960856016305594430966774009505543198585212421026798308836130360530463953040948208494609331560382464 binary64)) (*.f64 #s(literal 1/10 binary64) x) (*.f64 #s(literal 1/10 binary64) y)) |
(if (<=.f64 y #s(literal 3143850773938835/190536410541747572716161940294993060653600960856016305594430966774009505543198585212421026798308836130360530463953040948208494609331560382464 binary64)) (*.f64 x #s(literal 1/10 binary64)) (*.f64 y #s(literal 1/10 binary64))) |
(*.f64 #s(literal 1/10 binary64) x) |
(*.f64 x #s(literal 1/10 binary64)) |
| 1864× | fnmadd-define |
| 1816× | fma-lowering-fma.f32 |
| 1816× | fma-lowering-fma.f64 |
| 1812× | sum5-define |
| 1630× | fma-define |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 168 |
| 1 | 124 | 168 |
| 2 | 302 | 168 |
| 3 | 871 | 168 |
| 4 | 2404 | 168 |
| 5 | 4335 | 168 |
| 0 | 8030 | 168 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
Compiled 75 to 43 computations (42.7% saved)
(sort x y)
Compiled 136 to 70 computations (48.5% saved)
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