
Time bar (total: 3.5s)
| 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 7 to 7 computations (0% saved)
| 321.0ms | 8 256× | 0 | valid |
ival-div: 107.0ms (63.8% of total)ival-add: 47.0ms (28% of total)ival-true: 6.0ms (3.6% of total)exact: 5.0ms (3% of total)ival-assert: 3.0ms (1.8% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (+.f64 x y) |
| 0 | 0 | - | 0 | - | (/.f64 (+.f64 x y) #s(literal 10 binary64)) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | #s(literal 10 binary64) |
| 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 |
| 18.0ms | 512× | 0 | valid |
Compiled 31 to 19 computations (38.7% saved)
ival-div: 3.0ms (41.7% of total)ival-add: 3.0ms (41.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 29 |
| 1 | 31 | 29 |
| 2 | 56 | 29 |
| 3 | 70 | 29 |
| 4 | 81 | 29 |
| 5 | 86 | 29 |
| 0 | 5 | 5 |
| 0 | 7 | 5 |
| 1 | 11 | 5 |
| 2 | 12 | 5 |
| 0 | 12 | 5 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (+.f64 x y) #s(literal 10 binary64)) |
| Outputs |
|---|
(/.f64 (+.f64 x y) #s(literal 10 binary64)) |
(/.f64 (+.f64 y x) #s(literal 10 binary64)) |
(sort x y)
Compiled 5 to 5 computations (0% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (/.f64 (+.f64 x y) #s(literal 10 binary64)) |
Compiled 5 to 5 computations (0% 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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 11 |
| 0 | 7 | 11 |
| 1 | 11 | 11 |
| 2 | 12 | 11 |
| 0 | 12 | 11 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 x y) #s(literal 10 binary64)) |
(+.f64 x y) |
x |
y |
#s(literal 10 binary64) |
| Outputs |
|---|
(/.f64 (+.f64 x y) #s(literal 10 binary64)) |
(/.f64 (+.f64 y x) #s(literal 10 binary64)) |
(+.f64 x y) |
(+.f64 y x) |
x |
y |
#s(literal 10 binary64) |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (/.f64 (+.f64 x y) #s(literal 10 binary64)) | |
| accuracy | 0.0 | (+.f64 x y) |
| 9.0ms | 256× | 0 | valid |
Compiled 13 to 7 computations (46.2% saved)
ival-div: 2.0ms (56.9% of total)ival-add: 1.0ms (28.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (+.f64 x y) #s(literal 10 binary64)) |
(+.f64 x y) |
| Outputs |
|---|
(* 1/10 y) |
(+ (* 1/10 x) (* 1/10 y)) |
y |
(+ x y) |
(* 1/10 x) |
(* x (+ 1/10 (* 1/10 (/ y x)))) |
x |
(* x (+ 1 (/ y x))) |
(* -1 (* x (- (* -1/10 (/ y x)) 1/10))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* y (+ 1/10 (* 1/10 (/ x y)))) |
(* y (+ 1 (/ x y))) |
(* -1 (* y (- (* -1/10 (/ x y)) 1/10))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | -inf | ((/ (+ x y) 10) (+ x y)) |
| 0.0ms | x | @ | -inf | ((/ (+ x y) 10) (+ x y)) |
| 0.0ms | x | @ | inf | ((/ (+ x y) 10) (+ x y)) |
| 0.0ms | y | @ | inf | ((/ (+ x y) 10) (+ x y)) |
| 0.0ms | x | @ | 0 | ((/ (+ x y) 10) (+ x y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 48 |
| 1 | 113 | 48 |
| 2 | 250 | 48 |
| 3 | 687 | 48 |
| 4 | 1859 | 48 |
| 5 | 3238 | 48 |
| 6 | 4686 | 48 |
| 7 | 5767 | 48 |
| 8 | 7039 | 48 |
| 0 | 8459 | 48 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/10 y) |
(+ (* 1/10 x) (* 1/10 y)) |
y |
(+ x y) |
(* 1/10 x) |
(* x (+ 1/10 (* 1/10 (/ y x)))) |
x |
(* x (+ 1 (/ y x))) |
(* -1 (* x (- (* -1/10 (/ y x)) 1/10))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* y (+ 1/10 (* 1/10 (/ x y)))) |
(* y (+ 1 (/ x y))) |
(* -1 (* y (- (* -1/10 (/ x y)) 1/10))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
| Outputs |
|---|
(* 1/10 y) |
(*.f64 #s(literal 1/10 binary64) y) |
(+ (* 1/10 x) (* 1/10 y)) |
(*.f64 (+.f64 y x) #s(literal 1/10 binary64)) |
y |
(+ x y) |
(+.f64 y x) |
(* 1/10 x) |
(*.f64 #s(literal 1/10 binary64) x) |
(* x (+ 1/10 (* 1/10 (/ y x)))) |
(*.f64 (+.f64 y x) #s(literal 1/10 binary64)) |
x |
(* x (+ 1 (/ y x))) |
(+.f64 y x) |
(* -1 (* x (- (* -1/10 (/ y x)) 1/10))) |
(*.f64 (+.f64 y x) #s(literal 1/10 binary64)) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 y x) |
(* y (+ 1/10 (* 1/10 (/ x y)))) |
(*.f64 (+.f64 y x) #s(literal 1/10 binary64)) |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
(* -1 (* y (- (* -1/10 (/ x y)) 1/10))) |
(*.f64 (+.f64 y x) #s(literal 1/10 binary64)) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 y x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 8 |
| 0 | 7 | 8 |
| 1 | 28 | 8 |
| 2 | 169 | 8 |
| 3 | 1646 | 8 |
| 0 | 8996 | 8 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 x y) #s(literal 10 binary64)) |
(+.f64 x y) |
| Outputs |
|---|
(*.f64 (/.f64 (+.f64 y x) (-.f64 y x)) (/.f64 (-.f64 y x) #s(literal -10 binary64))) |
(*.f64 (/.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (+.f64 y x) #s(literal -10 binary64))) |
(*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (/.f64 (+.f64 y x) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 10 binary64)))) |
(*.f64 (+.f64 y x) (/.f64 (-.f64 y x) (*.f64 (-.f64 y x) #s(literal 10 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (/.f64 x (-.f64 y x))) #s(literal -10 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y (/.f64 y (-.f64 y x))) #s(literal -10 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x (/.f64 x (-.f64 y x))) #s(literal -10 binary64)) (/.f64 (*.f64 x (/.f64 x (-.f64 y x))) #s(literal -10 binary64)) (fma.f64 (/.f64 (*.f64 y (/.f64 y (-.f64 y x))) #s(literal -10 binary64)) (/.f64 (*.f64 y (/.f64 y (-.f64 y x))) #s(literal -10 binary64)) (*.f64 (/.f64 (*.f64 x (/.f64 x (-.f64 y x))) #s(literal -10 binary64)) (/.f64 (*.f64 y (/.f64 y (-.f64 y x))) #s(literal -10 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x #s(literal 10 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 y x) #s(literal -10 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 y #s(literal 10 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 y x) #s(literal -10 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 x #s(literal 10 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 y x) #s(literal -10 binary64))) (/.f64 (pow.f64 (/.f64 x #s(literal 10 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 y x) #s(literal -10 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 y #s(literal 10 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 y x) #s(literal -10 binary64))) (/.f64 (pow.f64 (/.f64 y #s(literal 10 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 y x) #s(literal -10 binary64))) (*.f64 (/.f64 (pow.f64 (/.f64 x #s(literal 10 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 y x) #s(literal -10 binary64))) (/.f64 (pow.f64 (/.f64 y #s(literal 10 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 y x) #s(literal -10 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 y x) #s(literal 10 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (*.f64 (-.f64 y x) #s(literal 10 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 y x) #s(literal 10 binary64))) (/.f64 (*.f64 x x) (*.f64 (-.f64 y x) #s(literal 10 binary64))) (fma.f64 (/.f64 (*.f64 y y) (*.f64 (-.f64 y x) #s(literal 10 binary64))) (/.f64 (*.f64 y y) (*.f64 (-.f64 y x) #s(literal 10 binary64))) (*.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 y x) #s(literal 10 binary64))) (/.f64 (*.f64 y y) (*.f64 (-.f64 y x) #s(literal 10 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (/.f64 x (-.f64 y x))) #s(literal 10 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y (/.f64 y (-.f64 y x))) #s(literal 10 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x (/.f64 x (-.f64 y x))) #s(literal 10 binary64)) (/.f64 (*.f64 x (/.f64 x (-.f64 y x))) #s(literal 10 binary64)) (fma.f64 (/.f64 (*.f64 y (/.f64 y (-.f64 y x))) #s(literal 10 binary64)) (/.f64 (*.f64 y (/.f64 y (-.f64 y x))) #s(literal 10 binary64)) (*.f64 (/.f64 (*.f64 x (/.f64 x (-.f64 y x))) #s(literal 10 binary64)) (/.f64 (*.f64 y (/.f64 y (-.f64 y x))) #s(literal 10 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal -10 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal -10 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal -10 binary64)) (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal -10 binary64)) (-.f64 (*.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal -10 binary64)) (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal -10 binary64))) (*.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal -10 binary64)) (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal -10 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 y #s(literal -10 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 x #s(literal -10 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 y #s(literal 10 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 x #s(literal 10 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 y #s(literal -10 binary64)) (/.f64 x #s(literal -10 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 x #s(literal -10 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 y #s(literal -10 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x #s(literal 10 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 y #s(literal 10 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 x #s(literal -10 binary64)) (/.f64 y #s(literal -10 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x #s(literal 10 binary64)) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (-.f64 y x) y) #s(literal 100 binary64)) (pow.f64 (/.f64 x #s(literal 10 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 y #s(literal 10 binary64)) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (-.f64 y x) y) #s(literal 100 binary64)) (pow.f64 (/.f64 x #s(literal 10 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 x #s(literal 10 binary64)) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (-.f64 y x) y) #s(literal 100 binary64)) (pow.f64 (/.f64 x #s(literal 10 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 x #s(literal 10 binary64)) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (-.f64 y x) y) #s(literal 100 binary64)) (pow.f64 (/.f64 x #s(literal 10 binary64)) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 y #s(literal 10 binary64)) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (-.f64 y x) y) #s(literal 100 binary64)) (pow.f64 (/.f64 x #s(literal 10 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 y #s(literal 10 binary64)) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (-.f64 y x) y) #s(literal 100 binary64)) (pow.f64 (/.f64 x #s(literal 10 binary64)) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (/.f64 x #s(literal 10 binary64)) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (-.f64 y x) y) #s(literal 100 binary64)) (pow.f64 (/.f64 x #s(literal 10 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 y #s(literal 10 binary64)) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (-.f64 y x) y) #s(literal 100 binary64)) (pow.f64 (/.f64 x #s(literal 10 binary64)) #s(literal 2 binary64)))))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 #s(literal 10 binary64) x) #s(literal 100 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 10 binary64) y) #s(literal 100 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 10 binary64) x) #s(literal 100 binary64)) (/.f64 (*.f64 #s(literal 10 binary64) x) #s(literal 100 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 10 binary64) y) #s(literal 100 binary64)) (/.f64 (*.f64 #s(literal 10 binary64) y) #s(literal 100 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 10 binary64) x) #s(literal 100 binary64)) (/.f64 (*.f64 #s(literal 10 binary64) y) #s(literal 100 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 10 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 10 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 10 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 10 binary64))) (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 10 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 10 binary64)))) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 10 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 10 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 10 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 10 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 10 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 10 binary64))) (-.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 10 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 10 binary64)))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 10 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 10 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal 10 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal 10 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal 10 binary64)) (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal 10 binary64)) (-.f64 (*.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal 10 binary64)) (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal 10 binary64))) (*.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal 10 binary64)) (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal 10 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 y x) #s(literal 10 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (neg.f64 y) y) (*.f64 (-.f64 y x) #s(literal 10 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 y x) #s(literal 10 binary64))) (/.f64 (*.f64 x x) (*.f64 (-.f64 y x) #s(literal 10 binary64))) (-.f64 (*.f64 (/.f64 (*.f64 (neg.f64 y) y) (*.f64 (-.f64 y x) #s(literal 10 binary64))) (/.f64 (*.f64 (neg.f64 y) y) (*.f64 (-.f64 y x) #s(literal 10 binary64)))) (*.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 y x) #s(literal 10 binary64))) (/.f64 (*.f64 (neg.f64 y) y) (*.f64 (-.f64 y x) #s(literal 10 binary64))))))) |
(/.f64 (+.f64 y (neg.f64 (neg.f64 x))) #s(literal 10 binary64)) |
(/.f64 (+.f64 (neg.f64 (neg.f64 y)) x) #s(literal 10 binary64)) |
(/.f64 (+.f64 x (neg.f64 (neg.f64 y))) #s(literal 10 binary64)) |
(/.f64 (+.f64 (neg.f64 (neg.f64 x)) y) #s(literal 10 binary64)) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 (-.f64 y x) (+.f64 y x)) #s(literal 100 binary64)))) (neg.f64 (neg.f64 (/.f64 (-.f64 y x) #s(literal -10 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1000 binary64)))) (neg.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (-.f64 y x) y) #s(literal 100 binary64)) (pow.f64 (/.f64 x #s(literal 10 binary64)) #s(literal 2 binary64)))))) |
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(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 y x) y (*.f64 x x)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 y x) y (*.f64 x x))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))))) |
(+.f64 (/.f64 (*.f64 y y) (-.f64 (neg.f64 y) (neg.f64 x))) (/.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) (-.f64 (neg.f64 y) (neg.f64 x)))) |
(+.f64 (/.f64 (*.f64 y y) (-.f64 (neg.f64 y) (neg.f64 x))) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 (neg.f64 y) (neg.f64 x)))) |
(+.f64 (/.f64 (*.f64 y y) (-.f64 (neg.f64 y) (neg.f64 x))) (/.f64 (*.f64 x (neg.f64 x)) (-.f64 (neg.f64 y) (neg.f64 x)))) |
(+.f64 (/.f64 (*.f64 x x) (-.f64 (neg.f64 x) (neg.f64 y))) (/.f64 (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)) (-.f64 (neg.f64 x) (neg.f64 y)))) |
(+.f64 (/.f64 (*.f64 x x) (-.f64 (neg.f64 x) (neg.f64 y))) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 (neg.f64 x) (neg.f64 y)))) |
(+.f64 (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))) |
(+.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 x))) |
(+.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 y))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(+.f64 (*.f64 y (/.f64 y (-.f64 y x))) (/.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) (-.f64 y x))) |
(+.f64 (*.f64 y (/.f64 y (-.f64 y x))) (*.f64 x (/.f64 x (-.f64 y x)))) |
(+.f64 (*.f64 x (/.f64 x (-.f64 y x))) (/.f64 (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)) (-.f64 y x))) |
(+.f64 (*.f64 x (/.f64 x (-.f64 y x))) (*.f64 y (/.f64 y (-.f64 y x)))) |
(+.f64 (neg.f64 x) (neg.f64 y)) |
(+.f64 (neg.f64 y) (neg.f64 x)) |
(+.f64 y x) |
(+.f64 x y) |
Compiled 12 704 to 1 283 computations (89.9% saved)
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 402 | 3 | 405 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 402 | 4 | 406 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (+.f64 x y) #s(literal 10 binary64)) |
| ▶ | 99.4% | #s(approx (/ (+ x y) 10) (*.f64 (+.f64 y x) #s(literal 1/10 binary64))) |
| ▶ | 55.2% | #s(approx (/ (+ x y) 10) (*.f64 #s(literal 1/10 binary64) y)) |
| ▶ | 45.9% | #s(approx (/ (+ x y) 10) (*.f64 #s(literal 1/10 binary64) x)) |
Compiled 34 to 30 computations (11.8% saved)
| 1× | egg-herbie |
Found 7 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | (*.f64 (+.f64 y x) #s(literal 1/10 binary64)) | |
| cost-diff | 0 | #s(approx (/ (+ x y) 10) (*.f64 (+.f64 y x) #s(literal 1/10 binary64))) | |
| cost-diff | 0 | (*.f64 #s(literal 1/10 binary64) y) | |
| cost-diff | 0 | #s(approx (/ (+ x y) 10) (*.f64 #s(literal 1/10 binary64) y)) | |
| cost-diff | 0 | (*.f64 #s(literal 1/10 binary64) x) | |
| cost-diff | 0 | #s(approx (/ (+ x y) 10) (*.f64 #s(literal 1/10 binary64) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 50 |
| 0 | 17 | 50 |
| 1 | 24 | 50 |
| 2 | 27 | 50 |
| 3 | 39 | 50 |
| 4 | 56 | 50 |
| 5 | 80 | 50 |
| 6 | 92 | 50 |
| 7 | 122 | 50 |
| 8 | 149 | 50 |
| 9 | 170 | 50 |
| 10 | 190 | 50 |
| 0 | 190 | 50 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ x y) 10) (*.f64 #s(literal 1/10 binary64) x)) |
(*.f64 #s(literal 1/10 binary64) x) |
#s(literal 1/10 binary64) |
x |
#s(approx (/ (+ x y) 10) (*.f64 #s(literal 1/10 binary64) y)) |
(*.f64 #s(literal 1/10 binary64) y) |
#s(literal 1/10 binary64) |
y |
#s(approx (/ (+ x y) 10) (*.f64 (+.f64 y x) #s(literal 1/10 binary64))) |
(*.f64 (+.f64 y x) #s(literal 1/10 binary64)) |
(+.f64 y x) |
y |
x |
#s(literal 1/10 binary64) |
| Outputs |
|---|
#s(approx (/ (+ x y) 10) (*.f64 #s(literal 1/10 binary64) x)) |
(*.f64 #s(literal 1/10 binary64) x) |
#s(literal 1/10 binary64) |
x |
#s(approx (/ (+ x y) 10) (*.f64 #s(literal 1/10 binary64) y)) |
(*.f64 #s(literal 1/10 binary64) y) |
#s(literal 1/10 binary64) |
y |
#s(approx (/ (+ x y) 10) (*.f64 (+.f64 y x) #s(literal 1/10 binary64))) |
(*.f64 (+.f64 y x) #s(literal 1/10 binary64)) |
(+.f64 y x) |
y |
x |
#s(literal 1/10 binary64) |
Found 7 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (+.f64 y x) | |
| accuracy | 0.0 | #s(approx (/ (+ x y) 10) (*.f64 (+.f64 y x) #s(literal 1/10 binary64))) | |
| accuracy | 0.38671875 | (*.f64 (+.f64 y x) #s(literal 1/10 binary64)) | |
| accuracy | 0.35546875 | (*.f64 #s(literal 1/10 binary64) y) | |
| accuracy | 28.459641088969324 | #s(approx (/ (+ x y) 10) (*.f64 #s(literal 1/10 binary64) y)) | |
| accuracy | 0.375 | (*.f64 #s(literal 1/10 binary64) x) | |
| accuracy | 34.42636320237165 | #s(approx (/ (+ x y) 10) (*.f64 #s(literal 1/10 binary64) x)) |
| 22.0ms | 256× | 0 | valid |
Compiled 38 to 12 computations (68.4% saved)
ival-mult: 5.0ms (38% of total)ival-add: 3.0ms (22.8% of total)const: 3.0ms (22.8% of total)ival-div: 2.0ms (15.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (/ (+ x y) 10) (*.f64 #s(literal 1/10 binary64) x)) |
(*.f64 #s(literal 1/10 binary64) x) |
#s(approx (/ (+ x y) 10) (*.f64 #s(literal 1/10 binary64) y)) |
(*.f64 #s(literal 1/10 binary64) y) |
#s(approx (/ (+ x y) 10) (*.f64 (+.f64 y x) #s(literal 1/10 binary64))) |
(*.f64 (+.f64 y x) #s(literal 1/10 binary64)) |
(+.f64 y x) |
| Outputs |
|---|
(* 1/10 y) |
(+ (* 1/10 x) (* 1/10 y)) |
(* 1/10 x) |
y |
(+ x y) |
(* x (+ 1/10 (* 1/10 (/ y x)))) |
x |
(* x (+ 1 (/ y x))) |
(* -1 (* x (- (* -1/10 (/ y x)) 1/10))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* y (+ 1/10 (* 1/10 (/ x y)))) |
(* y (+ 1 (/ x y))) |
(* -1 (* y (- (* -1/10 (/ x y)) 1/10))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((/ (+ x y) 10) (* 1/10 x) (/ (+ x y) 10) (* 1/10 y) (/ (+ x y) 10) (* (+ y x) 1/10) (+ y x)) |
| 1.0ms | x | @ | inf | ((/ (+ x y) 10) (* 1/10 x) (/ (+ x y) 10) (* 1/10 y) (/ (+ x y) 10) (* (+ y x) 1/10) (+ y x)) |
| 0.0ms | y | @ | -inf | ((/ (+ x y) 10) (* 1/10 x) (/ (+ x y) 10) (* 1/10 y) (/ (+ x y) 10) (* (+ y x) 1/10) (+ y x)) |
| 0.0ms | y | @ | inf | ((/ (+ x y) 10) (* 1/10 x) (/ (+ x y) 10) (* 1/10 y) (/ (+ x y) 10) (* (+ y x) 1/10) (+ y x)) |
| 0.0ms | x | @ | 0 | ((/ (+ x y) 10) (* 1/10 x) (/ (+ x y) 10) (* 1/10 y) (/ (+ x y) 10) (* (+ y x) 1/10) (+ y x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 48 |
| 1 | 113 | 48 |
| 2 | 250 | 48 |
| 3 | 689 | 48 |
| 4 | 1853 | 48 |
| 5 | 3223 | 48 |
| 6 | 4673 | 48 |
| 7 | 5771 | 48 |
| 8 | 7047 | 48 |
| 0 | 8466 | 48 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/10 y) |
(+ (* 1/10 x) (* 1/10 y)) |
(* 1/10 x) |
y |
(+ x y) |
(* x (+ 1/10 (* 1/10 (/ y x)))) |
x |
(* x (+ 1 (/ y x))) |
(* -1 (* x (- (* -1/10 (/ y x)) 1/10))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* y (+ 1/10 (* 1/10 (/ x y)))) |
(* y (+ 1 (/ x y))) |
(* -1 (* y (- (* -1/10 (/ x y)) 1/10))) |
(* -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) |
(*.f64 #s(literal 1/10 binary64) x) |
y |
(+ x y) |
(+.f64 y x) |
(* x (+ 1/10 (* 1/10 (/ y x)))) |
(*.f64 #s(literal 1/10 binary64) (+.f64 y x)) |
x |
(* x (+ 1 (/ y x))) |
(+.f64 y x) |
(* -1 (* x (- (* -1/10 (/ y x)) 1/10))) |
(*.f64 #s(literal 1/10 binary64) (+.f64 y x)) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 y x) |
(* y (+ 1/10 (* 1/10 (/ x y)))) |
(*.f64 #s(literal 1/10 binary64) (+.f64 y x)) |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
(* -1 (* y (- (* -1/10 (/ x y)) 1/10))) |
(*.f64 #s(literal 1/10 binary64) (+.f64 y x)) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 y x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 43 |
| 0 | 17 | 43 |
| 1 | 50 | 43 |
| 2 | 281 | 43 |
| 3 | 2943 | 43 |
| 0 | 9240 | 43 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ x y) 10) (*.f64 #s(literal 1/10 binary64) x)) |
(*.f64 #s(literal 1/10 binary64) x) |
#s(approx (/ (+ x y) 10) (*.f64 #s(literal 1/10 binary64) y)) |
(*.f64 #s(literal 1/10 binary64) y) |
#s(approx (/ (+ x y) 10) (*.f64 (+.f64 y x) #s(literal 1/10 binary64))) |
(*.f64 (+.f64 y x) #s(literal 1/10 binary64)) |
(+.f64 y x) |
| Outputs |
|---|
#s(approx (/ (+ x y) 10) (*.f64 #s(literal 1/10 binary64) x)) |
(*.f64 #s(literal 1/10 binary64) x) |
(*.f64 x #s(literal 1/10 binary64)) |
#s(approx (/ (+ x y) 10) (*.f64 #s(literal 1/10 binary64) y)) |
(*.f64 #s(literal 1/10 binary64) y) |
(*.f64 y #s(literal 1/10 binary64)) |
#s(approx (/ (+ x y) 10) (*.f64 (+.f64 y x) #s(literal 1/10 binary64))) |
(*.f64 (/.f64 (*.f64 (*.f64 (+.f64 y x) #s(literal 1/10 binary64)) (-.f64 y x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 y x) (*.f64 x x))) |
(*.f64 (/.f64 (*.f64 (*.f64 (+.f64 y x) #s(literal 1/10 binary64)) (-.f64 y x)) (*.f64 (-.f64 y x) (+.f64 y x))) (+.f64 y x)) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/10 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (-.f64 y x) y))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/10 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 y x) y) (-.f64 (*.f64 (-.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/10 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 y x) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 y x) x) (-.f64 (*.f64 (-.f64 y x) x) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/10 binary64) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(*.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (/.f64 #s(literal -1/10 binary64) (-.f64 y x))) |
(*.f64 (+.f64 y x) #s(literal 1/10 binary64)) |
(*.f64 #s(literal 1/10 binary64) (+.f64 y x)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/10 binary64) y) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/10 binary64) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 1/10 binary64) y) (*.f64 #s(literal 1/10 binary64) x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/10 binary64) x) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/10 binary64) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 1/10 binary64) x) (*.f64 #s(literal 1/10 binary64) y)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/1000 binary64) (pow.f64 y #s(literal 3 binary64)) (*.f64 #s(literal 1/1000 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/10 binary64) y) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/10 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/10 binary64) y) (*.f64 #s(literal 1/10 binary64) x)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/1000 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/1000 binary64) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/10 binary64) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/10 binary64) y) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/10 binary64) x) (*.f64 #s(literal 1/10 binary64) y)))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (+.f64 y x) #s(literal 1/10 binary64)) (-.f64 y x)))) (-.f64 y x)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/10 binary64)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/10 binary64) y) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/10 binary64) x) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/10 binary64) y) (*.f64 #s(literal 1/10 binary64) x))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/10 binary64) x) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/10 binary64) y) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/10 binary64) x) (*.f64 #s(literal 1/10 binary64) y))) |
(/.f64 (fma.f64 #s(literal 1/1000 binary64) (pow.f64 y #s(literal 3 binary64)) (*.f64 #s(literal 1/1000 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 #s(literal 1/10 binary64) y) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/10 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/10 binary64) y) (*.f64 #s(literal 1/10 binary64) x))))) |
(/.f64 (fma.f64 #s(literal 1/1000 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/1000 binary64) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 #s(literal 1/10 binary64) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/10 binary64) y) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/10 binary64) x) (*.f64 #s(literal 1/10 binary64) y))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 y x) #s(literal 1/10 binary64)) (-.f64 y x))) (-.f64 y x)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/10 binary64))) (neg.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/10 binary64))) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(/.f64 (*.f64 (*.f64 (+.f64 y x) #s(literal 1/10 binary64)) (-.f64 y x)) (-.f64 y x)) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/10 binary64)) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/10 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) |
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal 1/10 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal 1/10 binary64))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal 1/10 binary64) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal 1/10 binary64))) |
(fma.f64 #s(literal 1/10 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (*.f64 #s(literal 1/10 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))) |
(fma.f64 #s(literal 1/10 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (*.f64 #s(literal 1/10 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))) |
(fma.f64 #s(literal 1/10 binary64) y (*.f64 #s(literal 1/10 binary64) x)) |
(fma.f64 #s(literal 1/10 binary64) x (*.f64 #s(literal 1/10 binary64) y)) |
(fma.f64 y #s(literal 1/10 binary64) (*.f64 #s(literal 1/10 binary64) x)) |
(fma.f64 x #s(literal 1/10 binary64) (*.f64 #s(literal 1/10 binary64) y)) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/10 binary64) y) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/10 binary64) y) (*.f64 #s(literal 1/10 binary64) x))) (/.f64 (pow.f64 (*.f64 #s(literal 1/10 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/10 binary64) y) (*.f64 #s(literal 1/10 binary64) x)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/10 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/10 binary64) x) (*.f64 #s(literal 1/10 binary64) y))) (/.f64 (pow.f64 (*.f64 #s(literal 1/10 binary64) y) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/10 binary64) x) (*.f64 #s(literal 1/10 binary64) y)))) |
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(-.f64 (/.f64 (*.f64 (*.f64 y y) (-.f64 y x)) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 y x) (*.f64 x x)) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (fma.f64 y y (*.f64 x x)) (-.f64 y x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 y y (*.f64 x x)) (-.f64 y x)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 y y (*.f64 x x)) (-.f64 y x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (fma.f64 y y (*.f64 x x)) (-.f64 y x)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (-.f64 y x))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (-.f64 y x)))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 y x) y (*.f64 x x)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 y x) y (*.f64 x x))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 y x) y (*.f64 x x)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 y x) y (*.f64 x x))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 y x)) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 y x))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))) (-.f64 y x)) (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))) (-.f64 y x))) |
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))) (-.f64 y x)) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))) (-.f64 y x))) |
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 y y (*.f64 x x)) (pow.f64 y #s(literal 4 binary64)))) (-.f64 y x)) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 y y (*.f64 x x)) (pow.f64 y #s(literal 4 binary64)))) (-.f64 y x))) |
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (neg.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64))) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (*.f64 (*.f64 (neg.f64 y) y) y) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64))) (neg.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (*.f64 (*.f64 (neg.f64 y) y) y) (neg.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64))) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (*.f64 (*.f64 (neg.f64 y) y) y) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(-.f64 (*.f64 y (/.f64 y (-.f64 y x))) (/.f64 (*.f64 (neg.f64 (neg.f64 x)) x) (-.f64 y x))) |
(-.f64 (*.f64 y (/.f64 y (-.f64 y x))) (*.f64 x (/.f64 x (-.f64 y x)))) |
(-.f64 (*.f64 x (/.f64 x (-.f64 y x))) (/.f64 (*.f64 (neg.f64 (neg.f64 y)) y) (-.f64 y x))) |
(-.f64 (*.f64 x (/.f64 x (-.f64 y x))) (*.f64 y (/.f64 y (-.f64 y x)))) |
(+.f64 (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))) |
(+.f64 (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))) |
(+.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 y))) |
(+.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 x))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(+.f64 (*.f64 y (/.f64 y (-.f64 y x))) (*.f64 x (/.f64 x (-.f64 y x)))) |
(+.f64 (*.f64 x (/.f64 x (-.f64 y x))) (*.f64 y (/.f64 y (-.f64 y x)))) |
(+.f64 (neg.f64 y) (neg.f64 x)) |
(+.f64 (neg.f64 x) (neg.f64 y)) |
(+.f64 y x) |
(+.f64 x y) |
Compiled 8 042 to 1 008 computations (87.5% saved)
6 alts after pruning (2 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 235 | 2 | 237 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 1 | 1 |
| Total | 235 | 6 | 241 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (+.f64 x y) #s(literal 10 binary64)) |
| ▶ | 99.4% | #s(approx (/ (+ x y) 10) (fma.f64 y #s(literal 1/10 binary64) (*.f64 #s(literal 1/10 binary64) x))) |
| ▶ | 99.4% | #s(approx (/ (+ x y) 10) (fma.f64 x #s(literal 1/10 binary64) (*.f64 #s(literal 1/10 binary64) y))) |
| ✓ | 99.4% | #s(approx (/ (+ x y) 10) (*.f64 (+.f64 y x) #s(literal 1/10 binary64))) |
| ✓ | 55.2% | #s(approx (/ (+ x y) 10) (*.f64 #s(literal 1/10 binary64) y)) |
| ✓ | 45.9% | #s(approx (/ (+ x y) 10) (*.f64 #s(literal 1/10 binary64) x)) |
Compiled 58 to 48 computations (17.2% saved)
| 1× | egg-herbie |
Found 6 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal 1/10 binary64) x) | |
| cost-diff | 0 | #s(approx (/ (+ x y) 10) (fma.f64 y #s(literal 1/10 binary64) (*.f64 #s(literal 1/10 binary64) x))) | |
| cost-diff | 1 | (fma.f64 y #s(literal 1/10 binary64) (*.f64 #s(literal 1/10 binary64) x)) | |
| cost-diff | 0 | (*.f64 #s(literal 1/10 binary64) y) | |
| cost-diff | 0 | #s(approx (/ (+ x y) 10) (fma.f64 x #s(literal 1/10 binary64) (*.f64 #s(literal 1/10 binary64) y))) | |
| cost-diff | 1 | (fma.f64 x #s(literal 1/10 binary64) (*.f64 #s(literal 1/10 binary64) y)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 48 |
| 0 | 18 | 48 |
| 1 | 34 | 44 |
| 2 | 45 | 44 |
| 3 | 64 | 44 |
| 4 | 88 | 44 |
| 5 | 106 | 44 |
| 6 | 134 | 44 |
| 7 | 162 | 44 |
| 8 | 183 | 44 |
| 9 | 203 | 44 |
| 0 | 203 | 44 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ x y) 10) (fma.f64 x #s(literal 1/10 binary64) (*.f64 #s(literal 1/10 binary64) y))) |
(fma.f64 x #s(literal 1/10 binary64) (*.f64 #s(literal 1/10 binary64) y)) |
x |
#s(literal 1/10 binary64) |
(*.f64 #s(literal 1/10 binary64) y) |
y |
#s(approx (/ (+ x y) 10) (fma.f64 y #s(literal 1/10 binary64) (*.f64 #s(literal 1/10 binary64) x))) |
(fma.f64 y #s(literal 1/10 binary64) (*.f64 #s(literal 1/10 binary64) x)) |
y |
#s(literal 1/10 binary64) |
(*.f64 #s(literal 1/10 binary64) x) |
x |
| Outputs |
|---|
#s(approx (/ (+ x y) 10) (fma.f64 x #s(literal 1/10 binary64) (*.f64 #s(literal 1/10 binary64) y))) |
#s(approx (/ (+ x y) 10) (*.f64 #s(literal 1/10 binary64) (+.f64 y x))) |
(fma.f64 x #s(literal 1/10 binary64) (*.f64 #s(literal 1/10 binary64) y)) |
(*.f64 #s(literal 1/10 binary64) (+.f64 y x)) |
x |
#s(literal 1/10 binary64) |
(*.f64 #s(literal 1/10 binary64) y) |
y |
#s(approx (/ (+ x y) 10) (fma.f64 y #s(literal 1/10 binary64) (*.f64 #s(literal 1/10 binary64) x))) |
#s(approx (/ (+ x y) 10) (*.f64 #s(literal 1/10 binary64) (+.f64 y x))) |
(fma.f64 y #s(literal 1/10 binary64) (*.f64 #s(literal 1/10 binary64) x)) |
(*.f64 #s(literal 1/10 binary64) (+.f64 y x)) |
y |
#s(literal 1/10 binary64) |
(*.f64 #s(literal 1/10 binary64) x) |
x |
Found 6 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | #s(approx (/ (+ x y) 10) (fma.f64 y #s(literal 1/10 binary64) (*.f64 #s(literal 1/10 binary64) x))) | |
| accuracy | 0.203125 | (fma.f64 y #s(literal 1/10 binary64) (*.f64 #s(literal 1/10 binary64) x)) | |
| accuracy | 0.375 | (*.f64 #s(literal 1/10 binary64) x) | |
| accuracy | 0.0 | #s(approx (/ (+ x y) 10) (fma.f64 x #s(literal 1/10 binary64) (*.f64 #s(literal 1/10 binary64) y))) | |
| accuracy | 0.1875 | (fma.f64 x #s(literal 1/10 binary64) (*.f64 #s(literal 1/10 binary64) y)) | |
| accuracy | 0.35546875 | (*.f64 #s(literal 1/10 binary64) y) |
| 23.0ms | 256× | 0 | valid |
Compiled 38 to 14 computations (63.2% saved)
ival-mult: 6.0ms (41.1% of total)ival-add: 3.0ms (20.5% of total)const: 3.0ms (20.5% of total)ival-div: 2.0ms (13.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 x #s(literal 1/10 binary64) (*.f64 #s(literal 1/10 binary64) y)) |
#s(approx (/ (+ x y) 10) (fma.f64 x #s(literal 1/10 binary64) (*.f64 #s(literal 1/10 binary64) y))) |
(*.f64 #s(literal 1/10 binary64) y) |
(fma.f64 y #s(literal 1/10 binary64) (*.f64 #s(literal 1/10 binary64) x)) |
#s(approx (/ (+ x y) 10) (fma.f64 y #s(literal 1/10 binary64) (*.f64 #s(literal 1/10 binary64) x))) |
(*.f64 #s(literal 1/10 binary64) x) |
| Outputs |
|---|
(* 1/10 y) |
(+ (* 1/10 x) (* 1/10 y)) |
(* 1/10 x) |
(* x (+ 1/10 (* 1/10 (/ y x)))) |
(* -1 (* x (- (* -1/10 (/ y x)) 1/10))) |
(* y (+ 1/10 (* 1/10 (/ x y)))) |
(* -1 (* y (- (* -1/10 (/ x y)) 1/10))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | y | @ | -inf | ((+ (* x 1/10) (* 1/10 y)) (/ (+ x y) 10) (* 1/10 y) (+ (* y 1/10) (* 1/10 x)) (/ (+ x y) 10) (* 1/10 x)) |
| 1.0ms | x | @ | inf | ((+ (* x 1/10) (* 1/10 y)) (/ (+ x y) 10) (* 1/10 y) (+ (* y 1/10) (* 1/10 x)) (/ (+ x y) 10) (* 1/10 x)) |
| 1.0ms | x | @ | -inf | ((+ (* x 1/10) (* 1/10 y)) (/ (+ x y) 10) (* 1/10 y) (+ (* y 1/10) (* 1/10 x)) (/ (+ x y) 10) (* 1/10 x)) |
| 0.0ms | y | @ | inf | ((+ (* x 1/10) (* 1/10 y)) (/ (+ x y) 10) (* 1/10 y) (+ (* y 1/10) (* 1/10 x)) (/ (+ x y) 10) (* 1/10 x)) |
| 0.0ms | x | @ | 0 | ((+ (* x 1/10) (* 1/10 y)) (/ (+ x y) 10) (* 1/10 y) (+ (* y 1/10) (* 1/10 x)) (/ (+ x y) 10) (* 1/10 x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 31 |
| 1 | 67 | 31 |
| 2 | 157 | 31 |
| 3 | 344 | 31 |
| 4 | 717 | 31 |
| 5 | 1929 | 31 |
| 6 | 4712 | 31 |
| 7 | 5640 | 31 |
| 8 | 6526 | 31 |
| 9 | 7330 | 31 |
| 0 | 8016 | 31 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/10 y) |
(+ (* 1/10 x) (* 1/10 y)) |
(* 1/10 x) |
(* x (+ 1/10 (* 1/10 (/ y x)))) |
(* -1 (* x (- (* -1/10 (/ y x)) 1/10))) |
(* y (+ 1/10 (* 1/10 (/ x y)))) |
(* -1 (* y (- (* -1/10 (/ x y)) 1/10))) |
| Outputs |
|---|
(* 1/10 y) |
(*.f64 #s(literal 1/10 binary64) y) |
(+ (* 1/10 x) (* 1/10 y)) |
(*.f64 (+.f64 y x) #s(literal 1/10 binary64)) |
(* 1/10 x) |
(*.f64 #s(literal 1/10 binary64) x) |
(* x (+ 1/10 (* 1/10 (/ y x)))) |
(*.f64 (+.f64 y x) #s(literal 1/10 binary64)) |
(* -1 (* x (- (* -1/10 (/ y x)) 1/10))) |
(*.f64 (+.f64 y x) #s(literal 1/10 binary64)) |
(* y (+ 1/10 (* 1/10 (/ x y)))) |
(*.f64 (+.f64 y x) #s(literal 1/10 binary64)) |
(* -1 (* y (- (* -1/10 (/ x y)) 1/10))) |
(*.f64 (+.f64 y x) #s(literal 1/10 binary64)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 42 |
| 0 | 18 | 42 |
| 1 | 85 | 38 |
| 2 | 461 | 38 |
| 3 | 5281 | 38 |
| 0 | 9194 | 38 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 x #s(literal 1/10 binary64) (*.f64 #s(literal 1/10 binary64) y)) |
#s(approx (/ (+ x y) 10) (fma.f64 x #s(literal 1/10 binary64) (*.f64 #s(literal 1/10 binary64) y))) |
(*.f64 #s(literal 1/10 binary64) y) |
(fma.f64 y #s(literal 1/10 binary64) (*.f64 #s(literal 1/10 binary64) x)) |
#s(approx (/ (+ x y) 10) (fma.f64 y #s(literal 1/10 binary64) (*.f64 #s(literal 1/10 binary64) x))) |
(*.f64 #s(literal 1/10 binary64) x) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 #s(literal 1/100 binary64) (*.f64 (+.f64 y x) (-.f64 y x))) (*.f64 #s(literal 1/1000 binary64) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 (*.f64 #s(literal 1/100 binary64) y) (+.f64 y x) (pow.f64 (*.f64 #s(literal 1/10 binary64) x) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/100 binary64) (*.f64 (+.f64 y x) (-.f64 y x))) (*.f64 #s(literal 1/100 binary64) (*.f64 (+.f64 y x) (-.f64 y x)))) (*.f64 (+.f64 y x) #s(literal 1/10 binary64))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/1000 binary64) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal 1/1000000 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/100 binary64) x) (-.f64 x y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/100 binary64) x) (-.f64 x y)) (-.f64 (*.f64 (*.f64 #s(literal 1/100 binary64) x) (-.f64 x y)) (*.f64 #s(literal 1/100 binary64) (*.f64 y y))) (pow.f64 (*.f64 #s(literal -1/10 binary64) y) #s(literal 4 binary64)))) |
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(fma.f64 (*.f64 #s(literal 1/100 binary64) y) (/.f64 y (*.f64 #s(literal -1/10 binary64) (-.f64 x y))) (*.f64 #s(literal 1/10 binary64) (/.f64 (*.f64 x x) (-.f64 y x)))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/10 binary64)) (/.f64 #s(literal 1/10 binary64) (*.f64 #s(literal -1/10 binary64) (-.f64 x y))) (*.f64 #s(literal 1/10 binary64) (/.f64 (*.f64 y y) (-.f64 y x)))) |
(fma.f64 (*.f64 #s(literal 1/100 binary64) x) (/.f64 x (*.f64 #s(literal -1/10 binary64) (-.f64 x y))) (*.f64 #s(literal 1/10 binary64) (/.f64 (*.f64 y y) (-.f64 y x)))) |
(fma.f64 #s(literal 1/100 binary64) (/.f64 (*.f64 x x) (*.f64 #s(literal -1/10 binary64) (-.f64 x y))) (*.f64 #s(literal 1/10 binary64) (/.f64 (*.f64 y y) (-.f64 y x)))) |
(fma.f64 #s(literal 1/100 binary64) (/.f64 (*.f64 y y) (*.f64 #s(literal -1/10 binary64) (-.f64 x y))) (*.f64 #s(literal 1/10 binary64) (/.f64 (*.f64 x x) (-.f64 y x)))) |
(fma.f64 (pow.f64 (*.f64 y #s(literal 1/10 binary64)) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 y #s(literal 1/10 binary64)) #s(literal 3/2 binary64)) (fma.f64 (*.f64 #s(literal 1/100 binary64) y) (-.f64 y x) (pow.f64 (*.f64 #s(literal 1/10 binary64) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal 1/10 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/100 binary64) y) (-.f64 y x) (pow.f64 (*.f64 #s(literal 1/10 binary64) x) #s(literal 2 binary64))))) |
(fma.f64 (pow.f64 (*.f64 #s(literal 1/10 binary64) x) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal 1/10 binary64) x) #s(literal 3/2 binary64)) (fma.f64 (*.f64 #s(literal 1/100 binary64) y) (-.f64 y x) (pow.f64 (*.f64 #s(literal 1/10 binary64) x) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal -1/1000 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/100 binary64) y) (-.f64 y x) (pow.f64 (*.f64 #s(literal 1/10 binary64) x) #s(literal 2 binary64))))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal 1/10 binary64) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal 1/10 binary64))) |
(fma.f64 (*.f64 #s(literal -1/10 binary64) y) (/.f64 (*.f64 #s(literal -1/10 binary64) y) (*.f64 #s(literal -1/10 binary64) (-.f64 x y))) (*.f64 #s(literal 1/10 binary64) (/.f64 (*.f64 x x) (-.f64 y x)))) |
(fma.f64 (*.f64 #s(literal -1/10 binary64) x) (/.f64 (*.f64 #s(literal -1/10 binary64) x) (*.f64 #s(literal -1/10 binary64) (-.f64 x y))) (*.f64 #s(literal 1/10 binary64) (/.f64 (*.f64 y y) (-.f64 y x)))) |
(fma.f64 (*.f64 (fabs.f64 y) #s(literal 1/10 binary64)) (/.f64 (*.f64 (fabs.f64 y) #s(literal 1/10 binary64)) (*.f64 #s(literal -1/10 binary64) (-.f64 x y))) (*.f64 #s(literal 1/10 binary64) (/.f64 (*.f64 x x) (-.f64 y x)))) |
(fma.f64 (*.f64 (fabs.f64 x) #s(literal 1/10 binary64)) (/.f64 (*.f64 (fabs.f64 x) #s(literal 1/10 binary64)) (*.f64 #s(literal -1/10 binary64) (-.f64 x y))) (*.f64 #s(literal 1/10 binary64) (/.f64 (*.f64 y y) (-.f64 y x)))) |
(fma.f64 #s(literal 1/1000 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/100 binary64) y) (-.f64 y x) (pow.f64 (*.f64 #s(literal 1/10 binary64) x) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal -1/1000 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/100 binary64) y) (-.f64 y x) (pow.f64 (*.f64 #s(literal 1/10 binary64) x) #s(literal 2 binary64))))) |
(fma.f64 #s(literal 1/1000 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/100 binary64) y) (-.f64 y x) (pow.f64 (*.f64 #s(literal 1/10 binary64) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal 1/10 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/100 binary64) y) (-.f64 y x) (pow.f64 (*.f64 #s(literal 1/10 binary64) x) #s(literal 2 binary64))))) |
(fma.f64 (*.f64 #s(literal 1/100 binary64) (*.f64 y y)) (/.f64 (*.f64 y #s(literal 1/10 binary64)) (fma.f64 (*.f64 #s(literal 1/100 binary64) y) (-.f64 y x) (pow.f64 (*.f64 #s(literal 1/10 binary64) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal 1/10 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/100 binary64) y) (-.f64 y x) (pow.f64 (*.f64 #s(literal 1/10 binary64) x) #s(literal 2 binary64))))) |
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1/100 binary64) (*.f64 #s(literal -1/10 binary64) (-.f64 x y))) (*.f64 #s(literal 1/10 binary64) (/.f64 (*.f64 x x) (-.f64 y x)))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/100 binary64) (*.f64 #s(literal -1/10 binary64) (-.f64 x y))) (*.f64 #s(literal 1/10 binary64) (/.f64 (*.f64 y y) (-.f64 y x)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 #s(literal 1/1000 binary64) (fma.f64 (*.f64 #s(literal 1/100 binary64) y) (-.f64 y x) (pow.f64 (*.f64 #s(literal 1/10 binary64) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal 1/10 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/100 binary64) y) (-.f64 y x) (pow.f64 (*.f64 #s(literal 1/10 binary64) x) #s(literal 2 binary64))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1/1000 binary64) (fma.f64 (*.f64 #s(literal 1/100 binary64) y) (-.f64 y x) (pow.f64 (*.f64 #s(literal 1/10 binary64) x) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal -1/1000 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/100 binary64) y) (-.f64 y x) (pow.f64 (*.f64 #s(literal 1/10 binary64) x) #s(literal 2 binary64))))) |
(fma.f64 (pow.f64 (*.f64 #s(literal 1/10 binary64) x) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/10 binary64) x) (fma.f64 (*.f64 #s(literal 1/100 binary64) y) (-.f64 y x) (pow.f64 (*.f64 #s(literal 1/10 binary64) x) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal -1/1000 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/100 binary64) y) (-.f64 y x) (pow.f64 (*.f64 #s(literal 1/10 binary64) x) #s(literal 2 binary64))))) |
(fma.f64 (*.f64 #s(literal 1/10 binary64) x) (/.f64 (*.f64 #s(literal 1/10 binary64) x) (*.f64 #s(literal -1/10 binary64) (-.f64 x y))) (*.f64 #s(literal 1/10 binary64) (/.f64 (*.f64 y y) (-.f64 y x)))) |
(fma.f64 (*.f64 #s(literal 1/10 binary64) x) (/.f64 (pow.f64 (*.f64 #s(literal 1/10 binary64) x) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/100 binary64) y) (-.f64 y x) (pow.f64 (*.f64 #s(literal 1/10 binary64) x) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal -1/1000 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/100 binary64) y) (-.f64 y x) (pow.f64 (*.f64 #s(literal 1/10 binary64) x) #s(literal 2 binary64))))) |
(fma.f64 (*.f64 y #s(literal 1/10 binary64)) (/.f64 (*.f64 y #s(literal 1/10 binary64)) (*.f64 #s(literal -1/10 binary64) (-.f64 x y))) (*.f64 #s(literal 1/10 binary64) (/.f64 (*.f64 x x) (-.f64 y x)))) |
(fma.f64 (*.f64 y #s(literal 1/10 binary64)) (/.f64 (*.f64 #s(literal 1/100 binary64) (*.f64 y y)) (fma.f64 (*.f64 #s(literal 1/100 binary64) y) (-.f64 y x) (pow.f64 (*.f64 #s(literal 1/10 binary64) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal 1/10 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/100 binary64) y) (-.f64 y x) (pow.f64 (*.f64 #s(literal 1/10 binary64) x) #s(literal 2 binary64))))) |
(fma.f64 y (exp.f64 (log.f64 #s(literal 1/10 binary64))) (*.f64 (neg.f64 (neg.f64 x)) #s(literal 1/10 binary64))) |
(fma.f64 y (exp.f64 (log.f64 #s(literal 1/10 binary64))) (*.f64 (neg.f64 x) #s(literal -1/10 binary64))) |
(fma.f64 y (exp.f64 (log.f64 #s(literal 1/10 binary64))) (*.f64 #s(literal 1/10 binary64) x)) |
(fma.f64 y (/.f64 (*.f64 #s(literal 1/100 binary64) y) (*.f64 #s(literal -1/10 binary64) (-.f64 x y))) (*.f64 #s(literal 1/10 binary64) (/.f64 (*.f64 x x) (-.f64 y x)))) |
(fma.f64 y #s(literal 1/10 binary64) (*.f64 (neg.f64 (neg.f64 x)) #s(literal 1/10 binary64))) |
(fma.f64 y #s(literal 1/10 binary64) (*.f64 (neg.f64 x) #s(literal -1/10 binary64))) |
(fma.f64 y #s(literal 1/10 binary64) (*.f64 #s(literal 1/10 binary64) x)) |
(fma.f64 #s(literal 1/10 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/10 binary64)) (*.f64 #s(literal -1/10 binary64) (-.f64 x y))) (*.f64 #s(literal 1/10 binary64) (/.f64 (*.f64 y y) (-.f64 y x)))) |
(fma.f64 #s(literal 1/10 binary64) (/.f64 (*.f64 (*.f64 y y) #s(literal 1/10 binary64)) (*.f64 #s(literal -1/10 binary64) (-.f64 x y))) (*.f64 #s(literal 1/10 binary64) (/.f64 (*.f64 x x) (-.f64 y x)))) |
(fma.f64 #s(literal 1/10 binary64) (/.f64 (*.f64 x x) (-.f64 y x)) (*.f64 #s(literal 1/10 binary64) (/.f64 (*.f64 y y) (-.f64 y x)))) |
(fma.f64 #s(literal 1/10 binary64) (/.f64 (*.f64 y y) (-.f64 y x)) (*.f64 #s(literal 1/10 binary64) (/.f64 (*.f64 x x) (-.f64 y x)))) |
(fma.f64 #s(literal 1/10 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (*.f64 #s(literal 1/10 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))) |
(fma.f64 #s(literal 1/10 binary64) (*.f64 y (/.f64 y (-.f64 x y))) (*.f64 #s(literal 1/10 binary64) (/.f64 (*.f64 x x) (-.f64 y x)))) |
(fma.f64 #s(literal 1/10 binary64) (*.f64 x (/.f64 x (-.f64 x y))) (*.f64 #s(literal 1/10 binary64) (/.f64 (*.f64 y y) (-.f64 y x)))) |
(fma.f64 #s(literal 1/10 binary64) y (*.f64 (neg.f64 (neg.f64 x)) #s(literal 1/10 binary64))) |
(fma.f64 #s(literal 1/10 binary64) y (*.f64 (neg.f64 x) #s(literal -1/10 binary64))) |
(fma.f64 #s(literal 1/10 binary64) y (*.f64 #s(literal 1/10 binary64) x)) |
(fma.f64 #s(literal 1/10 binary64) x (*.f64 (neg.f64 (neg.f64 y)) #s(literal 1/10 binary64))) |
(fma.f64 #s(literal 1/10 binary64) x (*.f64 (neg.f64 y) #s(literal -1/10 binary64))) |
(fma.f64 #s(literal 1/10 binary64) x (*.f64 y #s(literal 1/10 binary64))) |
(fma.f64 x (exp.f64 (log.f64 #s(literal 1/10 binary64))) (*.f64 (neg.f64 (neg.f64 y)) #s(literal 1/10 binary64))) |
(fma.f64 x (exp.f64 (log.f64 #s(literal 1/10 binary64))) (*.f64 (neg.f64 y) #s(literal -1/10 binary64))) |
(fma.f64 x (exp.f64 (log.f64 #s(literal 1/10 binary64))) (*.f64 y #s(literal 1/10 binary64))) |
(fma.f64 x (/.f64 (*.f64 #s(literal 1/100 binary64) x) (*.f64 #s(literal -1/10 binary64) (-.f64 x y))) (*.f64 #s(literal 1/10 binary64) (/.f64 (*.f64 y y) (-.f64 y x)))) |
(fma.f64 x #s(literal 1/10 binary64) (*.f64 (neg.f64 (neg.f64 y)) #s(literal 1/10 binary64))) |
(fma.f64 x #s(literal 1/10 binary64) (*.f64 (neg.f64 y) #s(literal -1/10 binary64))) |
(fma.f64 x #s(literal 1/10 binary64) (*.f64 y #s(literal 1/10 binary64))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/10 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/100 binary64) y) (-.f64 y x) (pow.f64 (*.f64 #s(literal 1/10 binary64) x) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal -1/1000 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/100 binary64) y) (-.f64 y x) (pow.f64 (*.f64 #s(literal 1/10 binary64) x) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (*.f64 #s(literal -1/1000 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/100 binary64) y) (-.f64 y x) (pow.f64 (*.f64 #s(literal 1/10 binary64) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal 1/10 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/100 binary64) y) (-.f64 y x) (pow.f64 (*.f64 #s(literal 1/10 binary64) x) #s(literal 2 binary64))))) |
(-.f64 (*.f64 #s(literal 1/10 binary64) (/.f64 (*.f64 y y) (-.f64 y x))) (*.f64 #s(literal 1/10 binary64) (/.f64 (*.f64 x x) (-.f64 y x)))) |
(-.f64 (*.f64 #s(literal 1/10 binary64) (/.f64 (*.f64 x x) (-.f64 y x))) (*.f64 #s(literal 1/10 binary64) (/.f64 (*.f64 y y) (-.f64 y x)))) |
(-.f64 (*.f64 #s(literal 1/10 binary64) x) (*.f64 #s(literal -1/10 binary64) y)) |
(-.f64 (*.f64 y #s(literal 1/10 binary64)) (*.f64 #s(literal -1/10 binary64) x)) |
(+.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal 1/10 binary64)) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal 1/10 binary64))) |
(+.f64 (*.f64 #s(literal 1/10 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))) (*.f64 #s(literal 1/10 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/10 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/100 binary64) y) (-.f64 y x) (pow.f64 (*.f64 #s(literal 1/10 binary64) x) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal -1/1000 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/100 binary64) y) (-.f64 y x) (pow.f64 (*.f64 #s(literal 1/10 binary64) x) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (*.f64 #s(literal -1/1000 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/100 binary64) y) (-.f64 y x) (pow.f64 (*.f64 #s(literal 1/10 binary64) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal 1/10 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/100 binary64) y) (-.f64 y x) (pow.f64 (*.f64 #s(literal 1/10 binary64) x) #s(literal 2 binary64))))) |
(+.f64 (*.f64 #s(literal 1/10 binary64) (/.f64 (*.f64 y y) (-.f64 y x))) (*.f64 #s(literal 1/10 binary64) (/.f64 (*.f64 x x) (-.f64 y x)))) |
(+.f64 (*.f64 #s(literal 1/10 binary64) (/.f64 (*.f64 x x) (-.f64 y x))) (*.f64 #s(literal 1/10 binary64) (/.f64 (*.f64 y y) (-.f64 y x)))) |
(+.f64 (*.f64 #s(literal 1/10 binary64) x) (*.f64 (neg.f64 (neg.f64 y)) #s(literal 1/10 binary64))) |
(+.f64 (*.f64 #s(literal 1/10 binary64) x) (*.f64 (neg.f64 y) #s(literal -1/10 binary64))) |
(+.f64 (*.f64 #s(literal 1/10 binary64) x) (*.f64 y #s(literal 1/10 binary64))) |
(+.f64 (*.f64 y #s(literal 1/10 binary64)) (*.f64 (neg.f64 (neg.f64 x)) #s(literal 1/10 binary64))) |
(+.f64 (*.f64 y #s(literal 1/10 binary64)) (*.f64 (neg.f64 x) #s(literal -1/10 binary64))) |
(+.f64 (*.f64 y #s(literal 1/10 binary64)) (*.f64 #s(literal 1/10 binary64) x)) |
#s(approx (/ (+ x y) 10) (*.f64 (+.f64 y x) #s(literal 1/10 binary64))) |
(*.f64 (exp.f64 (log.f64 #s(literal 1/10 binary64))) x) |
(*.f64 #s(literal 1/10 binary64) x) |
(*.f64 x (exp.f64 (log.f64 #s(literal 1/10 binary64)))) |
(*.f64 x #s(literal 1/10 binary64)) |
(pow.f64 (*.f64 #s(literal 1/10 binary64) x) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/10 binary64) x)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 #s(literal 1/10 binary64) x))) |
(+.f64 (cosh.f64 (log.f64 (*.f64 #s(literal 1/10 binary64) x))) (sinh.f64 (log.f64 (*.f64 #s(literal 1/10 binary64) x)))) |
Compiled 5 276 to 649 computations (87.7% saved)
6 alts after pruning (0 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 181 | 0 | 181 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 4 | 4 |
| Total | 181 | 6 | 187 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (+.f64 x y) #s(literal 10 binary64)) |
| ✓ | 99.4% | #s(approx (/ (+ x y) 10) (fma.f64 y #s(literal 1/10 binary64) (*.f64 #s(literal 1/10 binary64) x))) |
| ✓ | 99.4% | #s(approx (/ (+ x y) 10) (fma.f64 x #s(literal 1/10 binary64) (*.f64 #s(literal 1/10 binary64) y))) |
| ✓ | 99.4% | #s(approx (/ (+ x y) 10) (*.f64 (+.f64 y x) #s(literal 1/10 binary64))) |
| ✓ | 55.2% | #s(approx (/ (+ x y) 10) (*.f64 #s(literal 1/10 binary64) y)) |
| ✓ | 45.9% | #s(approx (/ (+ x y) 10) (*.f64 #s(literal 1/10 binary64) x)) |
Compiled 116 to 68 computations (41.4% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) 10) (*.f64 #s(literal 1/10 binary64) x)) |
#s(approx (/ (+ x y) 10) (*.f64 #s(literal 1/10 binary64) y)) |
#s(approx (/ (+ x y) 10) (*.f64 (+.f64 y x) #s(literal 1/10 binary64))) |
#s(approx (/ (+ x y) 10) (fma.f64 x #s(literal 1/10 binary64) (*.f64 #s(literal 1/10 binary64) y))) |
#s(approx (/ (+ x y) 10) (fma.f64 y #s(literal 1/10 binary64) (*.f64 #s(literal 1/10 binary64) x))) |
(/.f64 (+.f64 x y) #s(literal 10 binary64)) |
| Outputs |
|---|
(/.f64 (+.f64 x y) #s(literal 10 binary64)) |
4 calls:
| 231.0ms | x |
| 4.0ms | (+.f64 x y) |
| 2.0ms | (/.f64 (+.f64 x y) #s(literal 10 binary64)) |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | (+.f64 x y) |
| 100.0% | 1 | (/.f64 (+.f64 x y) #s(literal 10 binary64)) |
| 100.0% | 1 | x |
| 100.0% | 1 | y |
Compiled 10 to 12 computations (-20% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) 10) (*.f64 #s(literal 1/10 binary64) x)) |
#s(approx (/ (+ x y) 10) (*.f64 #s(literal 1/10 binary64) y)) |
#s(approx (/ (+ x y) 10) (*.f64 (+.f64 y x) #s(literal 1/10 binary64))) |
#s(approx (/ (+ x y) 10) (fma.f64 x #s(literal 1/10 binary64) (*.f64 #s(literal 1/10 binary64) y))) |
#s(approx (/ (+ x y) 10) (fma.f64 y #s(literal 1/10 binary64) (*.f64 #s(literal 1/10 binary64) x))) |
| Outputs |
|---|
#s(approx (/ (+ x y) 10) (fma.f64 x #s(literal 1/10 binary64) (*.f64 #s(literal 1/10 binary64) y))) |
4 calls:
| 2.0ms | (/.f64 (+.f64 x y) #s(literal 10 binary64)) |
| 2.0ms | y |
| 2.0ms | (+.f64 x y) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 1 | (+.f64 x y) |
| 99.4% | 1 | (/.f64 (+.f64 x y) #s(literal 10 binary64)) |
| 99.4% | 1 | x |
| 99.4% | 1 | y |
Compiled 10 to 12 computations (-20% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) 10) (*.f64 #s(literal 1/10 binary64) x)) |
#s(approx (/ (+ x y) 10) (*.f64 #s(literal 1/10 binary64) y)) |
#s(approx (/ (+ x y) 10) (*.f64 (+.f64 y x) #s(literal 1/10 binary64))) |
| Outputs |
|---|
#s(approx (/ (+ x y) 10) (*.f64 (+.f64 y x) #s(literal 1/10 binary64))) |
4 calls:
| 2.0ms | (/.f64 (+.f64 x y) #s(literal 10 binary64)) |
| 2.0ms | x |
| 2.0ms | y |
| 2.0ms | (+.f64 x y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 1 | (+.f64 x y) |
| 99.4% | 1 | (/.f64 (+.f64 x y) #s(literal 10 binary64)) |
| 99.4% | 1 | x |
| 99.4% | 1 | y |
Compiled 10 to 12 computations (-20% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) 10) (*.f64 #s(literal 1/10 binary64) x)) |
#s(approx (/ (+ x y) 10) (*.f64 #s(literal 1/10 binary64) y)) |
| Outputs |
|---|
#s(approx (/ (+ x y) 10) (*.f64 #s(literal 1/10 binary64) x)) |
#s(approx (/ (+ x y) 10) (*.f64 #s(literal 1/10 binary64) y)) |
4 calls:
| 1.0ms | (/.f64 (+.f64 x y) #s(literal 10 binary64)) |
| 1.0ms | (+.f64 x y) |
| 1.0ms | x |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.8% | 2 | (+.f64 x y) |
| 97.8% | 2 | (/.f64 (+.f64 x y) #s(literal 10 binary64)) |
| 81.8% | 2 | x |
| 86.0% | 2 | y |
Compiled 10 to 12 computations (-20% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (+ x y) 10) (*.f64 #s(literal 1/10 binary64) x)) |
| Outputs |
|---|
#s(approx (/ (+ x y) 10) (*.f64 #s(literal 1/10 binary64) x)) |
4 calls:
| 1.0ms | x |
| 1.0ms | (/.f64 (+.f64 x y) #s(literal 10 binary64)) |
| 1.0ms | (+.f64 x y) |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 45.9% | 1 | x |
| 45.9% | 1 | y |
| 45.9% | 1 | (+.f64 x y) |
| 45.9% | 1 | (/.f64 (+.f64 x y) #s(literal 10 binary64)) |
Compiled 10 to 12 computations (-20% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -3.5997221500155254e-269 | 2.6020381158740698e-257 |
Compiled 8 to 10 computations (-25% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 63 |
| 1 | 24 | 63 |
| 2 | 25 | 63 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (+.f64 x y) #s(literal 10 binary64)) |
#s(approx (/ (+ x y) 10) (fma.f64 x #s(literal 1/10 binary64) (*.f64 #s(literal 1/10 binary64) y))) |
#s(approx (/ (+ x y) 10) (*.f64 (+.f64 y x) #s(literal 1/10 binary64))) |
(if (<=.f64 (/.f64 (+.f64 x y) #s(literal 10 binary64)) #s(literal -1487016908477783/74350845423889153139903124907495028006563010082969722952788592965797032858020218677258415724807817529489936189509648652522729262277245285389541529055119731289148542022372993697134320491714886843511959789117571860303387435343894004407854947017432904150602255272707195641188267440734208 binary64)) #s(approx (/ (+ x y) 10) (*.f64 #s(literal 1/10 binary64) x)) #s(approx (/ (+ x y) 10) (*.f64 #s(literal 1/10 binary64) y))) |
#s(approx (/ (+ x y) 10) (*.f64 #s(literal 1/10 binary64) x)) |
| Outputs |
|---|
(/.f64 (+.f64 x y) #s(literal 10 binary64)) |
#s(approx (/ (+ x y) 10) (fma.f64 x #s(literal 1/10 binary64) (*.f64 #s(literal 1/10 binary64) y))) |
#s(approx (/ (+ x y) 10) (*.f64 (+.f64 y x) #s(literal 1/10 binary64))) |
(if (<=.f64 (/.f64 (+.f64 x y) #s(literal 10 binary64)) #s(literal -1487016908477783/74350845423889153139903124907495028006563010082969722952788592965797032858020218677258415724807817529489936189509648652522729262277245285389541529055119731289148542022372993697134320491714886843511959789117571860303387435343894004407854947017432904150602255272707195641188267440734208 binary64)) #s(approx (/ (+ x y) 10) (*.f64 #s(literal 1/10 binary64) x)) #s(approx (/ (+ x y) 10) (*.f64 #s(literal 1/10 binary64) y))) |
#s(approx (/ (+ x y) 10) (*.f64 #s(literal 1/10 binary64) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 48 |
| 1 | 113 | 48 |
| 2 | 250 | 48 |
| 3 | 687 | 48 |
| 4 | 1859 | 48 |
| 5 | 3238 | 48 |
| 6 | 4686 | 48 |
| 7 | 5767 | 48 |
| 8 | 7039 | 48 |
| 0 | 8459 | 48 |
| 0 | 13 | 43 |
| 0 | 17 | 43 |
| 1 | 50 | 43 |
| 2 | 281 | 43 |
| 3 | 2943 | 43 |
| 0 | 9240 | 43 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 93 to 52 computations (44.1% saved)
(sort x y)
Compiled 156 to 72 computations (53.8% saved)
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