
Time bar (total: 5.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 9 to 7 computations (22.2% saved)
| 484.0ms | 8 253× | 0 | valid |
| 0.0ms | 2× | 2 | valid |
| 0.0ms | 1× | 1 | valid |
ival-add: 151.0ms (62.8% of total)ival-mult: 80.0ms (33.3% of total)ival-true: 6.0ms (2.5% of total)ival-assert: 3.0ms (1.2% of total)adjust: 0.0ms (0% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 x y) x) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (+.f64 (+.f64 (*.f64 x y) x) y) |
| 0 | 0 | - | 0 | - | (*.f64 x y) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 21.0ms | 510× | 0 | valid |
| 0.0ms | 2× | 2 | valid |
Compiled 62 to 24 computations (61.3% saved)
ival-add: 5.0ms (54.4% of total)ival-mult: 4.0ms (43.5% of total)adjust: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 41 |
| 1 | 51 | 38 |
| 2 | 164 | 35 |
| 3 | 570 | 35 |
| 4 | 1128 | 35 |
| 5 | 1313 | 35 |
| 6 | 1323 | 35 |
| 0 | 5 | 7 |
| 0 | 8 | 7 |
| 1 | 13 | 7 |
| 2 | 23 | 7 |
| 3 | 30 | 7 |
| 4 | 38 | 7 |
| 5 | 44 | 7 |
| 6 | 54 | 7 |
| 7 | 60 | 7 |
| 8 | 64 | 7 |
| 0 | 64 | 6 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (+.f64 (*.f64 x y) x) y) |
| Outputs |
|---|
(+.f64 (+.f64 (*.f64 x y) x) y) |
(fma.f64 (+.f64 #s(literal 1 binary64) x) y x) |
(sort x y)
Compiled 7 to 5 computations (28.6% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (+.f64 (+.f64 (*.f64 x y) x) y) |
Compiled 7 to 5 computations (28.6% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | (+.f64 (+.f64 (*.f64 x y) x) y) | |
| cost-diff | 1 | (+.f64 (*.f64 x y) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 17 |
| 0 | 8 | 17 |
| 1 | 13 | 17 |
| 2 | 23 | 17 |
| 3 | 30 | 17 |
| 4 | 38 | 17 |
| 5 | 44 | 17 |
| 6 | 54 | 17 |
| 7 | 60 | 17 |
| 8 | 64 | 17 |
| 0 | 64 | 15 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (+.f64 (*.f64 x y) x) y) |
(+.f64 (*.f64 x y) x) |
(*.f64 x y) |
x |
y |
| Outputs |
|---|
(+.f64 (+.f64 (*.f64 x y) x) y) |
(fma.f64 (+.f64 #s(literal 1 binary64) x) y x) |
(+.f64 (*.f64 x y) x) |
(fma.f64 y x x) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 x y) | |
| accuracy | 0.00390625 | (+.f64 (+.f64 (*.f64 x y) x) y) | |
| accuracy | 0.01171875 | (+.f64 (*.f64 x y) x) |
| 10.0ms | 255× | 0 | valid |
| 0.0ms | 1× | 2 | valid |
Compiled 36 to 12 computations (66.7% saved)
ival-add: 2.0ms (43.8% of total)ival-mult: 2.0ms (43.8% of total)adjust: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 (*.f64 x y) x) |
(+.f64 (+.f64 (*.f64 x y) x) y) |
(*.f64 x y) |
| Outputs |
|---|
(* x (+ 1 y)) |
y |
(+ y (* x (+ 1 y))) |
(* x y) |
(* x (+ 1 (+ y (/ y x)))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1))) |
x |
(+ x (* x y)) |
(+ x (* y (+ 1 x))) |
(* y (+ x (/ x y))) |
(* y (+ 1 x)) |
(* y (+ 1 (+ x (/ x y)))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(* -1 (* y (- (* -1 x) 1))) |
(* -1 (* y (- (+ (* -1 x) (* -1 (/ x y))) 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((+ (* x y) x) (+ (+ (* x y) x) y) (* x y)) |
| 1.0ms | y | @ | inf | ((+ (* x y) x) (+ (+ (* x y) x) y) (* x y)) |
| 1.0ms | x | @ | -inf | ((+ (* x y) x) (+ (+ (* x y) x) y) (* x y)) |
| 1.0ms | y | @ | -inf | ((+ (* x y) x) (+ (+ (* x y) x) y) (* x y)) |
| 1.0ms | x | @ | 0 | ((+ (* x y) x) (+ (+ (* x y) x) y) (* x y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 82 |
| 1 | 131 | 82 |
| 2 | 340 | 82 |
| 3 | 987 | 82 |
| 4 | 2291 | 82 |
| 5 | 3351 | 82 |
| 6 | 3968 | 82 |
| 7 | 4675 | 82 |
| 8 | 4890 | 82 |
| 9 | 5033 | 82 |
| 10 | 5745 | 82 |
| 0 | 8235 | 69 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (+ 1 y)) |
y |
(+ y (* x (+ 1 y))) |
(* x y) |
(* x (+ 1 (+ y (/ y x)))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1))) |
x |
(+ x (* x y)) |
(+ x (* y (+ 1 x))) |
(* y (+ x (/ x y))) |
(* y (+ 1 x)) |
(* y (+ 1 (+ x (/ x y)))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(* -1 (* y (- (* -1 x) 1))) |
(* -1 (* y (- (+ (* -1 x) (* -1 (/ x y))) 1))) |
| Outputs |
|---|
(* x (+ 1 y)) |
(fma.f64 y x x) |
y |
(+ y (* x (+ 1 y))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(* x y) |
(*.f64 y x) |
(* x (+ 1 (+ y (/ y x)))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 y x x) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
x |
(+ x (* x y)) |
(fma.f64 y x x) |
(+ x (* y (+ 1 x))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(* y (+ x (/ x y))) |
(fma.f64 y x x) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* y (+ 1 (+ x (/ x y)))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(fma.f64 y x x) |
(* -1 (* y (- (* -1 x) 1))) |
(fma.f64 y x y) |
(* -1 (* y (- (+ (* -1 x) (* -1 (/ x y))) 1))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 15 |
| 0 | 8 | 15 |
| 1 | 38 | 15 |
| 2 | 332 | 15 |
| 3 | 5317 | 15 |
| 0 | 8170 | 13 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 x y) x) |
(+.f64 (+.f64 (*.f64 x y) x) y) |
(*.f64 x y) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 y y) x (neg.f64 x))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (fma.f64 y x x) x (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 x (*.f64 y x)) x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (-.f64 x (*.f64 y x)) x))) |
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 x (*.f64 y x)) x) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 x (*.f64 y x)) x) (-.f64 (*.f64 (-.f64 x (*.f64 y x)) x) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 y x) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 y y) x (neg.f64 x))) (*.f64 x (fma.f64 (*.f64 y y) x (neg.f64 x)))) (fma.f64 y x x)) |
(*.f64 (+.f64 #s(literal 1 binary64) y) x) |
(*.f64 (*.f64 x (-.f64 x (*.f64 (*.f64 y y) x))) (pow.f64 (-.f64 x (*.f64 y x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 (*.f64 y x) x) #s(literal -1 binary64)) (*.f64 x (fma.f64 (*.f64 y y) x (neg.f64 x)))) |
(*.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 y y) x (-.f64 x (*.f64 y x)))) #s(literal -1 binary64)) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 #s(literal 1 binary64) (fma.f64 y x x)) |
(*.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 y y) x (neg.f64 x)))) (pow.f64 (neg.f64 (-.f64 (*.f64 y x) x)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 y y) x (-.f64 x (*.f64 y x))))) #s(literal -1 binary64))) |
(*.f64 (*.f64 x (fma.f64 (*.f64 y y) x (neg.f64 x))) (pow.f64 (-.f64 (*.f64 y x) x) #s(literal -1 binary64))) |
(*.f64 (*.f64 x (fma.f64 (*.f64 y y) x (-.f64 x (*.f64 y x)))) (/.f64 (fma.f64 y x x) (*.f64 x (fma.f64 (*.f64 y y) x (-.f64 x (*.f64 y x)))))) |
(*.f64 (*.f64 x (fma.f64 (*.f64 y y) x (-.f64 x (*.f64 y x)))) (*.f64 (fma.f64 y x x) (pow.f64 (*.f64 x (fma.f64 (*.f64 y y) x (-.f64 x (*.f64 y x)))) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (*.f64 x (fma.f64 (*.f64 y y) x (-.f64 x (*.f64 y x)))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 y x x) (/.f64 (-.f64 (*.f64 y x) x) (-.f64 (*.f64 y x) x))) |
(*.f64 (fma.f64 y x x) (*.f64 (-.f64 (*.f64 y x) x) (pow.f64 (-.f64 (*.f64 y x) x) #s(literal -1 binary64)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) y)) |
(pow.f64 (/.f64 (-.f64 x (*.f64 y x)) (*.f64 x (-.f64 x (*.f64 (*.f64 y y) x)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (pow.f64 (fma.f64 y x x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 y x x) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (fma.f64 y x x) #s(literal 1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 (*.f64 y x) x) #s(literal -1 binary64))) (fma.f64 x x (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (-.f64 (*.f64 y x) x) #s(literal -1 binary64))) (+.f64 (fma.f64 (*.f64 y y) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (*.f64 y x) #s(literal 4 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 x (fma.f64 (*.f64 y y) x (-.f64 x (*.f64 y x)))) #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (*.f64 y x) #s(literal 9 binary64))) (pow.f64 (*.f64 x (fma.f64 (*.f64 y y) x (-.f64 x (*.f64 y x)))) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) x)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 y x) x))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) x)) (*.f64 x (/.f64 x (-.f64 (*.f64 y x) x))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 y x) x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 y x) x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) x)) (*.f64 x (/.f64 x (-.f64 (*.f64 y x) x))))))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 x (*.f64 (*.f64 y y) x)))) (neg.f64 (-.f64 x (*.f64 y x)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 y y) x (neg.f64 x))))) (neg.f64 (neg.f64 (-.f64 (*.f64 y x) x)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 y y) x (-.f64 x (*.f64 y x))))))) |
(/.f64 (*.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 x (fma.f64 (*.f64 y y) x (-.f64 x (*.f64 y x))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 x (fma.f64 (*.f64 y y) x (-.f64 x (*.f64 y x)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (fma.f64 (*.f64 y y) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (-.f64 (*.f64 y x) x))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (*.f64 y x) #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64))) (*.f64 x (fma.f64 (*.f64 y y) x (-.f64 x (*.f64 y x)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 (*.f64 y x) x))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) x)) (*.f64 (-.f64 (*.f64 y x) x) (*.f64 x x))) (pow.f64 (-.f64 (*.f64 y x) x) #s(literal 2 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 y x x) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (-.f64 (*.f64 y x) x) (fma.f64 x x (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (*.f64 x (fma.f64 (*.f64 y y) x (-.f64 x (*.f64 y x)))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (-.f64 (*.f64 y x) x) (+.f64 (fma.f64 (*.f64 y y) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (*.f64 y x) #s(literal 4 binary64))))) |
(/.f64 (*.f64 x (-.f64 x (*.f64 (*.f64 y y) x))) (-.f64 x (*.f64 y x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y x)) (*.f64 x (-.f64 x (*.f64 (*.f64 y y) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 y x x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y x x) #s(literal -1 binary64))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (*.f64 y x) #s(literal 9 binary64))) (*.f64 (*.f64 x (fma.f64 (*.f64 y y) x (-.f64 x (*.f64 y x)))) (-.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64))))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 y y) x (neg.f64 x)))) (neg.f64 (-.f64 (*.f64 y x) x))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (*.f64 x (fma.f64 (*.f64 y y) x (-.f64 x (*.f64 y x)))))) |
(/.f64 (*.f64 x (fma.f64 (*.f64 y y) x (neg.f64 x))) (-.f64 (*.f64 y x) x)) |
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 x (fma.f64 (*.f64 y y) x (-.f64 x (*.f64 y x))))) |
(neg.f64 (neg.f64 (fma.f64 y x x))) |
(fma.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (fma.f64 y x x) x (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 y x) x))))) |
(fma.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x (fma.f64 (*.f64 y y) x (neg.f64 x)))) (fma.f64 y x x) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 y x) x))))) |
(fma.f64 (*.f64 (*.f64 y y) x) (/.f64 x (-.f64 (*.f64 y x) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 y x) x))))) |
(fma.f64 (*.f64 (*.f64 x x) y) (/.f64 y (-.f64 (*.f64 y x) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 y x) x))))) |
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(fma.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 y y) x (neg.f64 x))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (fma.f64 y x x) x (pow.f64 (*.f64 y x) #s(literal 2 binary64))) y) |
(fma.f64 (/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 x (*.f64 y x)) x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (-.f64 x (*.f64 y x)) x)) y) |
(fma.f64 (/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 x (*.f64 y x)) x) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 x (*.f64 y x)) x) (-.f64 (*.f64 (-.f64 x (*.f64 y x)) x) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) y) |
(fma.f64 (/.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 y x x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 (fma.f64 y x x) y) (pow.f64 (fma.f64 y x x) #s(literal 2 binary64))) (neg.f64 (*.f64 y (/.f64 y (-.f64 (fma.f64 y x x) y))))) |
(fma.f64 (/.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) y (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)))) (+.f64 (fma.f64 y x x) y) (neg.f64 (*.f64 y (/.f64 y (-.f64 (fma.f64 y x x) y))))) |
(fma.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 y y) x (neg.f64 x))) (*.f64 x (fma.f64 (*.f64 y y) x (neg.f64 x)))) (fma.f64 y x x) y) |
(fma.f64 (+.f64 x #s(literal 1 binary64)) y x) |
(fma.f64 (+.f64 #s(literal 1 binary64) y) x y) |
(fma.f64 (fma.f64 x x (*.f64 (neg.f64 y) y)) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (*.f64 y x)) |
(fma.f64 (*.f64 x (-.f64 x (*.f64 (*.f64 y y) x))) (pow.f64 (-.f64 x (*.f64 y x)) #s(literal -1 binary64)) y) |
(fma.f64 (pow.f64 (-.f64 (*.f64 y x) x) #s(literal -1 binary64)) (*.f64 x (fma.f64 (*.f64 y y) x (neg.f64 x))) y) |
(fma.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 y y) x (-.f64 x (*.f64 y x)))) #s(literal -1 binary64)) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) y) |
(fma.f64 #s(literal 1 binary64) (fma.f64 y x x) y) |
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64)) (*.f64 y x)) |
(fma.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 y y) x (neg.f64 x)))) (pow.f64 (neg.f64 (-.f64 (*.f64 y x) x)) #s(literal -1 binary64)) y) |
(fma.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 y y) x (-.f64 x (*.f64 y x))))) #s(literal -1 binary64)) y) |
(fma.f64 (*.f64 x (fma.f64 (*.f64 y y) x (neg.f64 x))) (pow.f64 (-.f64 (*.f64 y x) x) #s(literal -1 binary64)) y) |
(fma.f64 (*.f64 x (fma.f64 (*.f64 y y) x (-.f64 x (*.f64 y x)))) (/.f64 (fma.f64 y x x) (*.f64 x (fma.f64 (*.f64 y y) x (-.f64 x (*.f64 y x))))) y) |
(fma.f64 (*.f64 x (fma.f64 (*.f64 y y) x (-.f64 x (*.f64 y x)))) (*.f64 (fma.f64 y x x) (pow.f64 (*.f64 x (fma.f64 (*.f64 y y) x (-.f64 x (*.f64 y x)))) #s(literal -1 binary64))) y) |
(fma.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (*.f64 x (fma.f64 (*.f64 y y) x (-.f64 x (*.f64 y x)))) #s(literal -1 binary64)) y) |
(fma.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (pow.f64 (-.f64 (fma.f64 y x x) y) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 (fma.f64 y x x) y))))) |
(fma.f64 (fma.f64 y x x) (/.f64 (-.f64 (*.f64 y x) x) (-.f64 (*.f64 y x) x)) y) |
(fma.f64 (fma.f64 y x x) (/.f64 (fma.f64 y x x) (-.f64 (fma.f64 y x x) y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 (fma.f64 y x x) y))))) |
(fma.f64 (fma.f64 y x x) (*.f64 (-.f64 (*.f64 y x) x) (pow.f64 (-.f64 (*.f64 y x) x) #s(literal -1 binary64))) y) |
(fma.f64 y x (+.f64 y x)) |
(fma.f64 x (+.f64 #s(literal 1 binary64) y) y) |
(fma.f64 x y (+.f64 y x)) |
(-.f64 (+.f64 y (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) x))) (*.f64 x (/.f64 x (-.f64 (*.f64 y x) x)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (-.f64 (*.f64 y x) x) y)) (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 (-.f64 (*.f64 y x) x) y))) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y (fma.f64 y x x))) (/.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (-.f64 y (fma.f64 y x x)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) x)) (-.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 y x) x))) y)) |
(-.f64 (/.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (-.f64 (fma.f64 y x x) y)) (*.f64 y (/.f64 y (-.f64 (fma.f64 y x x) y)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (fma.f64 y x x) y) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (fma.f64 y x y) x) |
(+.f64 (/.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (-.f64 (fma.f64 y x x) y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 (fma.f64 y x x) y))))) |
(+.f64 (+.f64 y x) (*.f64 y x)) |
(+.f64 (fma.f64 y x x) y) |
(+.f64 (*.f64 y x) (+.f64 y x)) |
(+.f64 y (fma.f64 y x x)) |
(+.f64 x (fma.f64 y x y)) |
(*.f64 y x) |
(*.f64 x y) |
(pow.f64 (*.f64 y x) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1 binary64))) |
Compiled 4 443 to 555 computations (87.5% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 183 | 2 | 185 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 184 | 2 | 186 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (fma.f64 (+.f64 x #s(literal 1 binary64)) y x) |
| ▶ | 62.3% | #s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)) |
Compiled 18 to 12 computations (33.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 (+.f64 x #s(literal 1 binary64)) y x) | |
| cost-diff | 0 | (fma.f64 y x y) | |
| cost-diff | 0 | #s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 30 |
| 0 | 15 | 30 |
| 1 | 27 | 29 |
| 2 | 39 | 29 |
| 3 | 41 | 29 |
| 4 | 59 | 29 |
| 5 | 62 | 29 |
| 6 | 64 | 29 |
| 7 | 68 | 29 |
| 0 | 68 | 29 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)) |
(fma.f64 y x y) |
y |
x |
(fma.f64 (+.f64 x #s(literal 1 binary64)) y x) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
y |
| Outputs |
|---|
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)) |
(fma.f64 y x y) |
y |
x |
(fma.f64 (+.f64 x #s(literal 1 binary64)) y x) |
(+.f64 (fma.f64 y x x) y) |
(+.f64 x #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) x) |
x |
#s(literal 1 binary64) |
y |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (+.f64 x #s(literal 1 binary64)) | |
| accuracy | 0.01171875 | (fma.f64 (+.f64 x #s(literal 1 binary64)) y x) | |
| accuracy | 0.0 | (fma.f64 y x y) | |
| accuracy | 24.11720483472005 | #s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)) |
| 34.0ms | 255× | 0 | valid |
| 0.0ms | 1× | 2 | valid |
Compiled 59 to 23 computations (61% saved)
ival-add: 21.0ms (78.3% of total)ival-mult: 5.0ms (18.6% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)) |
(fma.f64 y x y) |
(fma.f64 (+.f64 x #s(literal 1 binary64)) y x) |
(+.f64 x #s(literal 1 binary64)) |
| Outputs |
|---|
y |
(+ y (* x (+ 1 y))) |
(+ y (* x y)) |
1 |
(+ 1 x) |
(* x (+ 1 y)) |
(* x (+ 1 (+ y (/ y x)))) |
(* x y) |
(* x (+ y (/ y x))) |
x |
(* x (+ 1 (/ 1 x))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(+ x (* y (+ 1 x))) |
(* y (+ 1 x)) |
(* y (+ 1 (+ x (/ x y)))) |
(* -1 (* y (- (* -1 x) 1))) |
(* -1 (* y (- (+ (* -1 x) (* -1 (/ x y))) 1))) |
(* -1 (* y (+ (* -1 (+ 1 x)) (* -1 (/ x y))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | ((+ (+ (* x y) x) y) (+ (* y x) y) (+ (* (+ x 1) y) x) (+ x 1)) |
| 1.0ms | x | @ | -inf | ((+ (+ (* x y) x) y) (+ (* y x) y) (+ (* (+ x 1) y) x) (+ x 1)) |
| 0.0ms | x | @ | inf | ((+ (+ (* x y) x) y) (+ (* y x) y) (+ (* (+ x 1) y) x) (+ x 1)) |
| 0.0ms | y | @ | inf | ((+ (+ (* x y) x) y) (+ (* y x) y) (+ (* (+ x 1) y) x) (+ x 1)) |
| 0.0ms | y | @ | 0 | ((+ (+ (* x y) x) y) (+ (* y x) y) (+ (* (+ x 1) y) x) (+ x 1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 96 |
| 1 | 164 | 96 |
| 2 | 437 | 96 |
| 3 | 1249 | 96 |
| 4 | 2923 | 96 |
| 5 | 3807 | 96 |
| 6 | 4195 | 96 |
| 7 | 4481 | 96 |
| 8 | 4631 | 96 |
| 9 | 4719 | 96 |
| 0 | 8611 | 82 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
y |
(+ y (* x (+ 1 y))) |
(+ y (* x y)) |
1 |
(+ 1 x) |
(* x (+ 1 y)) |
(* x (+ 1 (+ y (/ y x)))) |
(* x y) |
(* x (+ y (/ y x))) |
x |
(* x (+ 1 (/ 1 x))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(+ x (* y (+ 1 x))) |
(* y (+ 1 x)) |
(* y (+ 1 (+ x (/ x y)))) |
(* -1 (* y (- (* -1 x) 1))) |
(* -1 (* y (- (+ (* -1 x) (* -1 (/ x y))) 1))) |
(* -1 (* y (+ (* -1 (+ 1 x)) (* -1 (/ x y))))) |
| Outputs |
|---|
y |
(+ y (* x (+ 1 y))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(+ y (* x y)) |
(fma.f64 y x y) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(-.f64 x #s(literal -1 binary64)) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 (+ y (/ y x)))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(* x y) |
(*.f64 y x) |
(* x (+ y (/ y x))) |
(fma.f64 y x y) |
x |
(* x (+ 1 (/ 1 x))) |
(-.f64 x #s(literal -1 binary64)) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 y x x) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(fma.f64 y x y) |
(+ x (* y (+ 1 x))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* y (+ 1 (+ x (/ x y)))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(* -1 (* y (- (* -1 x) 1))) |
(fma.f64 y x y) |
(* -1 (* y (- (+ (* -1 x) (* -1 (/ x y))) 1))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(* -1 (* y (+ (* -1 (+ 1 x)) (* -1 (/ x y))))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 25 |
| 0 | 15 | 25 |
| 1 | 87 | 24 |
| 2 | 664 | 24 |
| 0 | 8039 | 24 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)) |
(fma.f64 y x y) |
(fma.f64 (+.f64 x #s(literal 1 binary64)) y x) |
(+.f64 x #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)) |
(*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x)) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (/.f64 (*.f64 y (*.f64 (fma.f64 x x #s(literal -1 binary64)) y)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (fma.f64 y x y) y (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 y (*.f64 y x)) y) #s(literal 2 binary64)))) (fma.f64 y (*.f64 (fma.f64 x x #s(literal -1 binary64)) y) (*.f64 (*.f64 y y) x))) |
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 y (*.f64 y x)) y) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 y (*.f64 y x)) y) (-.f64 (*.f64 (-.f64 y (*.f64 y x)) y) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 y x) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (*.f64 y (*.f64 (fma.f64 x x #s(literal -1 binary64)) y)) (*.f64 y (*.f64 (fma.f64 x x #s(literal -1 binary64)) y))) (fma.f64 y x y)) |
(*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 y (-.f64 y (*.f64 (*.f64 x x) y))) (/.f64 #s(literal 1 binary64) (-.f64 y (*.f64 y x)))) |
(*.f64 (pow.f64 (-.f64 (*.f64 y x) y) #s(literal -1 binary64)) (*.f64 y (*.f64 (fma.f64 x x #s(literal -1 binary64)) y))) |
(*.f64 (pow.f64 (*.f64 y (fma.f64 (*.f64 x x) y (-.f64 y (*.f64 y x)))) #s(literal -1 binary64)) (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64)))) |
(*.f64 (neg.f64 (*.f64 y (*.f64 (fma.f64 x x #s(literal -1 binary64)) y))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 y x) y)))) |
(*.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 y (fma.f64 (*.f64 x x) y (-.f64 y (*.f64 y x))))))) |
(*.f64 (*.f64 y (*.f64 (fma.f64 x x #s(literal -1 binary64)) y)) (pow.f64 (-.f64 (*.f64 y x) y) #s(literal -1 binary64))) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 y (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) y)) |
(*.f64 (*.f64 y (fma.f64 (*.f64 x x) y (-.f64 y (*.f64 y x)))) (/.f64 (fma.f64 y x y) (*.f64 y (fma.f64 (*.f64 x x) y (-.f64 y (*.f64 y x)))))) |
(*.f64 (*.f64 y (fma.f64 (*.f64 x x) y (-.f64 y (*.f64 y x)))) (*.f64 (fma.f64 y x y) (pow.f64 (*.f64 y (fma.f64 (*.f64 x x) y (-.f64 y (*.f64 y x)))) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (*.f64 y (fma.f64 (*.f64 x x) y (-.f64 y (*.f64 y x)))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 y (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) y)) |
(*.f64 (fma.f64 y x y) (/.f64 (-.f64 (*.f64 y x) y) (-.f64 (*.f64 y x) y))) |
(*.f64 (fma.f64 y x y) (*.f64 (-.f64 (*.f64 y x) y) (pow.f64 (-.f64 (*.f64 y x) y) #s(literal -1 binary64)))) |
(*.f64 (+.f64 #s(literal 1 binary64) x) y) |
(*.f64 #s(literal 1 binary64) (fma.f64 y x y)) |
(*.f64 y (+.f64 #s(literal 1 binary64) x)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x y)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (-.f64 (*.f64 y x) y) #s(literal -1 binary64))) (fma.f64 y y (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) |
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(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(neg.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))) |
(neg.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) |
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64)) |
(fma.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(+.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(+.f64 #s(literal 1 binary64) x) |
(+.f64 x #s(literal 1 binary64)) |
Compiled 8 321 to 994 computations (88.1% saved)
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 338 | 3 | 341 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 1 | 2 |
| Done | 0 | 0 | 0 |
| Total | 339 | 4 | 343 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 77.0% | (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) |
| ✓ | 62.3% | #s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)) |
| ▶ | 61.6% | #s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) |
| ▶ | 24.5% | #s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x))) |
Compiled 49 to 31 computations (36.7% saved)
| 1× | egg-herbie |
Found 7 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (+ x 1) #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) | |
| cost-diff | 0 | (fma.f64 y x x) | |
| cost-diff | 0 | #s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | #s(approx (+ (* y x) y) (*.f64 y x)) | |
| cost-diff | 0 | #s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 65 |
| 0 | 20 | 63 |
| 1 | 35 | 63 |
| 2 | 43 | 63 |
| 3 | 50 | 63 |
| 4 | 56 | 63 |
| 5 | 66 | 63 |
| 6 | 78 | 63 |
| 7 | 83 | 63 |
| 8 | 84 | 63 |
| 0 | 84 | 61 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x))) |
#s(approx (+ (* y x) y) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) |
(fma.f64 y x x) |
y |
x |
(fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) |
#s(approx (+ x 1) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
y |
x |
| Outputs |
|---|
#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x))) |
#s(approx (+ (* y x) y) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) |
(fma.f64 y x x) |
y |
x |
(fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) |
#s(approx (+ x 1) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
y |
x |
Found 7 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.01171875 | (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) | |
| accuracy | 30.370338088730836 | #s(approx (+ x 1) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (fma.f64 y x x) | |
| accuracy | 24.588363082052556 | #s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) | |
| accuracy | 0.0 | (*.f64 y x) | |
| accuracy | 24.11720483472005 | #s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x))) | |
| accuracy | 33.4557384971997 | #s(approx (+ (* y x) y) (*.f64 y x)) |
| 28.0ms | 255× | 0 | valid |
| 0.0ms | 1× | 2 | valid |
Compiled 111 to 31 computations (72.1% saved)
ival-add: 15.0ms (74.5% of total)ival-mult: 5.0ms (24.8% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x))) |
#s(approx (+ (* y x) y) (*.f64 y x)) |
(*.f64 y x) |
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) |
(fma.f64 y x x) |
(fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) |
#s(approx (+ x 1) #s(literal 1 binary64)) |
| Outputs |
|---|
y |
(+ y (* x (+ 1 y))) |
(+ y (* x y)) |
(* x y) |
(* x (+ 1 y)) |
1 |
(+ 1 x) |
(* x (+ 1 (+ y (/ y x)))) |
(* x (+ y (/ y x))) |
x |
(* x (+ 1 (/ 1 x))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(+ x (* y (+ 1 x))) |
(* y (+ 1 x)) |
(+ x (* x y)) |
(* y (+ 1 (+ x (/ x y)))) |
(* y (+ x (/ x y))) |
(* -1 (* y (- (* -1 x) 1))) |
(* -1 (* y (- (+ (* -1 x) (* -1 (/ x y))) 1))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (+ 1 x)) (* -1 (/ x y))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | ((+ (+ (* x y) x) y) (+ (* y x) y) (* y x) (+ (+ (* x y) x) y) (+ (* y x) x) (+ (* (+ x 1) y) x) (+ x 1)) |
| 1.0ms | x | @ | -inf | ((+ (+ (* x y) x) y) (+ (* y x) y) (* y x) (+ (+ (* x y) x) y) (+ (* y x) x) (+ (* (+ x 1) y) x) (+ x 1)) |
| 1.0ms | x | @ | inf | ((+ (+ (* x y) x) y) (+ (* y x) y) (* y x) (+ (+ (* x y) x) y) (+ (* y x) x) (+ (* (+ x 1) y) x) (+ x 1)) |
| 0.0ms | y | @ | inf | ((+ (+ (* x y) x) y) (+ (* y x) y) (* y x) (+ (+ (* x y) x) y) (+ (* y x) x) (+ (* (+ x 1) y) x) (+ x 1)) |
| 0.0ms | x | @ | 0 | ((+ (+ (* x y) x) y) (+ (* y x) y) (* y x) (+ (+ (* x y) x) y) (+ (* y x) x) (+ (* (+ x 1) y) x) (+ x 1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 111 |
| 1 | 182 | 111 |
| 2 | 479 | 111 |
| 3 | 1285 | 111 |
| 4 | 2981 | 111 |
| 5 | 3877 | 111 |
| 6 | 4260 | 111 |
| 7 | 4546 | 111 |
| 8 | 4697 | 111 |
| 9 | 4785 | 111 |
| 0 | 8212 | 94 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
y |
(+ y (* x (+ 1 y))) |
(+ y (* x y)) |
(* x y) |
(* x (+ 1 y)) |
1 |
(+ 1 x) |
(* x (+ 1 (+ y (/ y x)))) |
(* x (+ y (/ y x))) |
x |
(* x (+ 1 (/ 1 x))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(+ x (* y (+ 1 x))) |
(* y (+ 1 x)) |
(+ x (* x y)) |
(* y (+ 1 (+ x (/ x y)))) |
(* y (+ x (/ x y))) |
(* -1 (* y (- (* -1 x) 1))) |
(* -1 (* y (- (+ (* -1 x) (* -1 (/ x y))) 1))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (+ 1 x)) (* -1 (/ x y))))) |
| Outputs |
|---|
y |
(+ y (* x (+ 1 y))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(+ y (* x y)) |
(fma.f64 y x y) |
(* x y) |
(*.f64 y x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(-.f64 x #s(literal -1 binary64)) |
(* x (+ 1 (+ y (/ y x)))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(* x (+ y (/ y x))) |
(fma.f64 y x y) |
x |
(* x (+ 1 (/ 1 x))) |
(-.f64 x #s(literal -1 binary64)) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 y x x) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(fma.f64 y x y) |
(+ x (* y (+ 1 x))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(+ x (* x y)) |
(fma.f64 y x x) |
(* y (+ 1 (+ x (/ x y)))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(* y (+ x (/ x y))) |
(fma.f64 y x x) |
(* -1 (* y (- (* -1 x) 1))) |
(fma.f64 y x y) |
(* -1 (* y (- (+ (* -1 x) (* -1 (/ x y))) 1))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(fma.f64 y x x) |
(* -1 (* y (+ (* -1 (+ 1 x)) (* -1 (/ x y))))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 58 |
| 0 | 20 | 56 |
| 1 | 101 | 56 |
| 2 | 676 | 56 |
| 0 | 8294 | 54 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x))) |
#s(approx (+ (* y x) y) (*.f64 y x)) |
(*.f64 y x) |
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) |
(fma.f64 y x x) |
(fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) |
#s(approx (+ x 1) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x))) |
#s(approx (+ (* y x) y) (*.f64 y x)) |
(*.f64 #s(literal 1 binary64) (*.f64 y x)) |
(*.f64 (*.f64 y x) #s(literal 1 binary64)) |
(*.f64 y x) |
(*.f64 x (*.f64 #s(literal 1 binary64) y)) |
(*.f64 x y) |
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x) |
(*.f64 (*.f64 x (-.f64 x (*.f64 (*.f64 y y) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) y)))) |
(*.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 y y) x (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 y x) x)))) |
(*.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 y y) x)))))) |
(*.f64 (+.f64 #s(literal 1 binary64) y) x) |
(*.f64 (*.f64 x (fma.f64 (*.f64 y y) x (neg.f64 x))) (pow.f64 (-.f64 (*.f64 y x) x) #s(literal -1 binary64))) |
(*.f64 (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 y y) x))) (*.f64 (fma.f64 y x x) (pow.f64 (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 y y) x))) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 x x) (-.f64 (*.f64 y y) y))))) |
(*.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 y y) x))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 y x x)) |
(*.f64 (fma.f64 y x x) (*.f64 (-.f64 (*.f64 y x) x) (pow.f64 (-.f64 (*.f64 y x) x) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 y x x) #s(literal 1 binary64)) |
(*.f64 x (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))) |
(*.f64 x (+.f64 #s(literal 1 binary64) y)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x x)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (-.f64 y #s(literal 1 binary64))) |
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 (*.f64 y x) x) #s(literal -1 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 x x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (-.f64 (*.f64 y x) x) #s(literal -1 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 y y) x))) #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 y y) x))) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64)))) |
(/.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64))) |
(/.f64 (*.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) x)) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) x))) (*.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 y x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y x) x)))) (+.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y x) x)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 y x) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) x)) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 y x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y x) x)) (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y x) x)))))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 x (*.f64 (*.f64 y y) x)))) (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 y y) x (neg.f64 x))))) (neg.f64 (neg.f64 (-.f64 (*.f64 y x) x)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 y y) x)))))) |
(/.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 y y) x (neg.f64 x))) #s(literal 1 binary64)) (-.f64 (*.f64 y x) x)) |
(/.f64 (*.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 y y) x)))) |
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(neg.f64 (/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)) (pow.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)))))) |
(fma.f64 (pow.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)))) |
(fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)) |
(fma.f64 y #s(approx (+ x 1) #s(literal 1 binary64)) x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y))) (/.f64 (pow.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (-.f64 x (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)))) |
(+.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) |
(+.f64 x (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)) |
#s(approx (+ x 1) #s(literal 1 binary64)) |
Compiled 3 676 to 419 computations (88.6% saved)
4 alts after pruning (0 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 129 | 0 | 129 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 1 | 1 |
| Total | 129 | 4 | 133 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 77.0% | (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) |
| ✓ | 62.3% | #s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)) |
| ✓ | 61.6% | #s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) |
| ✓ | 24.5% | #s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x))) |
Compiled 111 to 55 computations (50.5% saved)
| Inputs |
|---|
#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x))) |
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) |
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)) |
(fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) |
(fma.f64 (+.f64 x #s(literal 1 binary64)) y x) |
(+.f64 (+.f64 (*.f64 x y) x) y) |
| Outputs |
|---|
(fma.f64 (+.f64 x #s(literal 1 binary64)) y x) |
3 calls:
| 3.0ms | (+.f64 (+.f64 (*.f64 x y) x) y) |
| 2.0ms | y |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | (+.f64 (+.f64 (*.f64 x y) x) y) |
Compiled 9 to 9 computations (0% saved)
| Inputs |
|---|
#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x))) |
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) |
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)) |
(fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) |
| Outputs |
|---|
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) |
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)) |
3 calls:
| 2.0ms | x |
| 2.0ms | y |
| 2.0ms | (+.f64 (+.f64 (*.f64 x y) x) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 3 | x |
| 99.5% | 3 | y |
| 98.9% | 2 | (+.f64 (+.f64 (*.f64 x y) x) y) |
Compiled 9 to 9 computations (0% saved)
| Inputs |
|---|
#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x))) |
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) |
| Outputs |
|---|
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) |
3 calls:
| 2.0ms | x |
| 1.0ms | (+.f64 (+.f64 (*.f64 x y) x) y) |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.6% | 1 | x |
| 61.6% | 1 | y |
| 61.6% | 1 | (+.f64 (+.f64 (*.f64 x y) x) y) |
Compiled 9 to 9 computations (0% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x))) |
| Outputs |
|---|
#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x))) |
3 calls:
| 1.0ms | y |
| 1.0ms | (+.f64 (+.f64 (*.f64 x y) x) y) |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 24.5% | 1 | x |
| 24.5% | 1 | (+.f64 (+.f64 (*.f64 x y) x) y) |
| 24.5% | 1 | y |
Compiled 9 to 9 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -2.926039557500587e-258 | 1.7792232338894068e-266 |
Compiled 10 to 10 computations (0% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 69 |
| 1 | 32 | 69 |
| 2 | 41 | 69 |
| 3 | 45 | 69 |
| 4 | 57 | 69 |
| 5 | 57 | 69 |
| 6 | 75 | 69 |
| 7 | 77 | 69 |
| 8 | 78 | 69 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (+.f64 x #s(literal 1 binary64)) y x) |
(if (<=.f64 (+.f64 (+.f64 (*.f64 x y) x) y) #s(literal -8655577598126739/4327788799063369698118367518036104040602397294887907509272254128346512609744690048814426160231687683233172643784762398137404191207445999921156415311568401014033503715319849649510248592805285405106374515984066055406780647774220793764564147394699562815402300054714269682368512 binary64)) #s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) #s(approx (+ (+ (* x y) x) y) (fma.f64 y x y))) |
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) |
#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x))) |
| Outputs |
|---|
(fma.f64 (+.f64 x #s(literal 1 binary64)) y x) |
(if (<=.f64 (+.f64 (+.f64 (*.f64 x y) x) y) #s(literal -8655577598126739/4327788799063369698118367518036104040602397294887907509272254128346512609744690048814426160231687683233172643784762398137404191207445999921156415311568401014033503715319849649510248592805285405106374515984066055406780647774220793764564147394699562815402300054714269682368512 binary64)) #s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) #s(approx (+ (+ (* x y) x) y) (fma.f64 y x y))) |
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) |
#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 96 |
| 1 | 164 | 96 |
| 2 | 437 | 96 |
| 3 | 1249 | 96 |
| 4 | 2923 | 96 |
| 5 | 3807 | 96 |
| 6 | 4195 | 96 |
| 7 | 4481 | 96 |
| 8 | 4631 | 96 |
| 9 | 4719 | 96 |
| 0 | 8611 | 82 |
| 0 | 5 | 15 |
| 0 | 8 | 15 |
| 1 | 38 | 15 |
| 2 | 332 | 15 |
| 3 | 5317 | 15 |
| 0 | 8170 | 13 |
| 0 | 41 | 82 |
| 1 | 131 | 82 |
| 2 | 340 | 82 |
| 3 | 987 | 82 |
| 4 | 2291 | 82 |
| 5 | 3351 | 82 |
| 6 | 3968 | 82 |
| 7 | 4675 | 82 |
| 8 | 4890 | 82 |
| 9 | 5033 | 82 |
| 10 | 5745 | 82 |
| 0 | 8235 | 69 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 106 to 51 computations (51.9% saved)
(sort x y)
Compiled 164 to 66 computations (59.8% saved)
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