
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 17 to 9 computations (47.1% saved)
| 769.0ms | 8 256× | 0 | valid |
ival-mult: 192.0ms (56.8% of total)ival-add: 136.0ms (40.2% of total)ival-true: 5.0ms (1.5% of total)ival-assert: 3.0ms (0.9% of total)adjust: 2.0ms (0.6% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) |
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 x x) (*.f64 y y)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 y y) |
| 0 | 0 | - | 0 | - | (*.f64 x x) |
| 0 | 0 | - | 0 | - | (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y 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 |
| 125.0ms | 512× | 0 | valid |
Compiled 101 to 25 computations (75.2% saved)
ival-mult: 38.0ms (84.7% of total)ival-add: 6.0ms (13.4% of total)ival-true: 1.0ms (2.2% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 77 |
| 1 | 83 | 67 |
| 2 | 242 | 47 |
| 3 | 535 | 45 |
| 4 | 1249 | 45 |
| 5 | 1816 | 45 |
| 6 | 2281 | 45 |
| 7 | 2470 | 45 |
| 8 | 2622 | 45 |
| 0 | 7 | 15 |
| 0 | 12 | 15 |
| 1 | 30 | 13 |
| 2 | 105 | 9 |
| 3 | 312 | 9 |
| 4 | 695 | 9 |
| 5 | 998 | 9 |
| 6 | 1250 | 9 |
| 7 | 1358 | 9 |
| 8 | 1438 | 9 |
| 0 | 1438 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) |
| Outputs |
|---|
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) |
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x)) |
(abs y)
(abs x)
Compiled 15 to 7 computations (53.3% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) |
Compiled 15 to 7 computations (53.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 1 | (+.f64 (*.f64 x x) (*.f64 y y)) | |
| cost-diff | 2 | (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) | |
| cost-diff | 4 | (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 41 |
| 0 | 12 | 41 |
| 1 | 30 | 37 |
| 2 | 105 | 33 |
| 3 | 312 | 33 |
| 4 | 695 | 33 |
| 5 | 998 | 33 |
| 6 | 1250 | 33 |
| 7 | 1358 | 33 |
| 8 | 1438 | 33 |
| 0 | 1438 | 30 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) |
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) |
(+.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 x x) |
x |
(*.f64 y y) |
y |
| Outputs |
|---|
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) |
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x)) |
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) |
(fma.f64 #s(literal 2 binary64) (*.f64 y y) (*.f64 x x)) |
(+.f64 (*.f64 x x) (*.f64 y y)) |
(fma.f64 y y (*.f64 x x)) |
(*.f64 x x) |
x |
(*.f64 y y) |
y |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 y y) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.0078125 | (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) | |
| accuracy | 0.046875 | (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) |
| 13.0ms | 256× | 0 | valid |
Compiled 43 to 9 computations (79.1% saved)
ival-add: 3.0ms (44.1% of total)ival-mult: 3.0ms (44.1% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) |
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) |
(+.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 x x) |
(*.f64 y y) |
| Outputs |
|---|
(+ (* 2 (pow y 2)) (pow y 2)) |
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2))) |
(* 2 (pow y 2)) |
(+ (* 2 (pow y 2)) (pow x 2)) |
(pow y 2) |
(+ (pow x 2) (pow y 2)) |
(pow x 2) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(* 3 (pow y 2)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 19.0ms | x | @ | -inf | ((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y)) (+ (* x x) (* y y)) (* x x) (* y y)) |
| 1.0ms | x | @ | inf | ((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y)) (+ (* x x) (* y y)) (* x x) (* y y)) |
| 1.0ms | x | @ | 0 | ((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y)) (+ (* x x) (* y y)) (* x x) (* y y)) |
| 1.0ms | y | @ | 0 | ((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y)) (+ (* x x) (* y y)) (* x x) (* y y)) |
| 1.0ms | y | @ | inf | ((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y)) (+ (* x x) (* y y)) (* x x) (* y y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 121 |
| 1 | 93 | 105 |
| 2 | 321 | 105 |
| 3 | 2169 | 105 |
| 0 | 8459 | 95 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* 2 (pow y 2)) (pow y 2)) |
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2))) |
(* 2 (pow y 2)) |
(+ (* 2 (pow y 2)) (pow x 2)) |
(pow y 2) |
(+ (pow x 2) (pow y 2)) |
(pow x 2) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(* 3 (pow y 2)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
| Outputs |
|---|
(+ (* 2 (pow y 2)) (pow y 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 y y)) |
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2))) |
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) |
(* 2 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 2 binary64)) |
(+ (* 2 (pow y 2)) (pow x 2)) |
(fma.f64 (*.f64 y y) #s(literal 2 binary64) (*.f64 x x)) |
(pow y 2) |
(*.f64 y y) |
(+ (pow x 2) (pow y 2)) |
(fma.f64 y y (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) |
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 y y) #s(literal 2 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(fma.f64 y y (*.f64 x x)) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) |
(* 3 (pow y 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 y y)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) |
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 y y) #s(literal 2 binary64) (*.f64 x x)) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(fma.f64 y y (*.f64 x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 39 |
| 0 | 12 | 39 |
| 1 | 66 | 35 |
| 2 | 720 | 35 |
| 0 | 9413 | 31 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) |
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) |
(+.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 x x) |
(*.f64 y y) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 y y (*.f64 x x)))) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 y y (*.f64 x x))))) (*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 y y (*.f64 x x)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 y y (*.f64 x x)))))) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 y y (*.f64 x x)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (neg.f64 y) y (*.f64 #s(literal 2 binary64) (*.f64 y y))) (fma.f64 (neg.f64 y) y (*.f64 #s(literal 2 binary64) (*.f64 y y))))) (fma.f64 x x (fma.f64 (neg.f64 y) y (*.f64 #s(literal 2 binary64) (*.f64 y y))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (*.f64 y y) (*.f64 x x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 y y (*.f64 x x))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))))) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (*.f64 y y) (*.f64 x x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 y y (*.f64 x x))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))))))) (*.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 y y (*.f64 x x))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 y y (*.f64 x x))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))))))) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 y y (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) (fma.f64 y y (*.f64 x x)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 y y) (*.f64 y y)) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (*.f64 y y)))) (-.f64 (*.f64 x x) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (*.f64 y y)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y))) (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y))))) (-.f64 (*.f64 x x) (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 y y) (*.f64 (neg.f64 y) y)) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (*.f64 (neg.f64 y) y)))) (-.f64 (*.f64 x x) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (*.f64 (neg.f64 y) y)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 y y (*.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 y y (*.f64 x x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 y y (*.f64 x x)))) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 y y (*.f64 x x)))) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 y y (*.f64 x x)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 y y (*.f64 x x)))) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 y y (*.f64 x x)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 y y (*.f64 x x)))))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 3 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64)))) (+.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 #s(literal 2 binary64) (*.f64 y y)))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 (neg.f64 y) y (*.f64 #s(literal 2 binary64) (*.f64 y y))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 (neg.f64 y) y (*.f64 #s(literal 2 binary64) (*.f64 y y))) (fma.f64 (neg.f64 y) y (*.f64 #s(literal 2 binary64) (*.f64 y y))) (*.f64 (*.f64 x x) (fma.f64 (neg.f64 y) y (*.f64 #s(literal 2 binary64) (*.f64 y y))))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (*.f64 y y) (*.f64 x x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 y y (*.f64 x x))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 y y (*.f64 x x))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (*.f64 y y) (*.f64 x x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 y y (*.f64 x x))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))))) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (*.f64 y y) (*.f64 x x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 y y (*.f64 x x))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))))) (-.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 y y (*.f64 x x))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 y y (*.f64 x x))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))))))) (*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (*.f64 y y) (*.f64 x x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 y y (*.f64 x x))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 y y (*.f64 x x))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))))))))) |
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) (fma.f64 y y (*.f64 x x)))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) (*.f64 y y) (*.f64 y y)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 y y) (*.f64 y y)) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (*.f64 y y))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (*.f64 y y)))))) |
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(fma.f64 (/.f64 (neg.f64 x) (+.f64 x y)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x y)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (*.f64 y y)))) |
(fma.f64 (/.f64 (*.f64 x x) (neg.f64 (+.f64 x y))) (/.f64 (*.f64 x x) (-.f64 (neg.f64 x) (neg.f64 y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (*.f64 y y)))) |
(fma.f64 (/.f64 (*.f64 x x) (+.f64 (neg.f64 x) y)) (/.f64 (*.f64 x x) (-.f64 (neg.f64 x) y)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (*.f64 y y)))) |
(fma.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (*.f64 y y)))) |
(fma.f64 (/.f64 x (neg.f64 (+.f64 x y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (neg.f64 x) (neg.f64 y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (*.f64 y y)))) |
(fma.f64 (/.f64 x (+.f64 (neg.f64 x) y)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (neg.f64 x) y)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (*.f64 y y)))) |
(fma.f64 (/.f64 x (+.f64 x y)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x y)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (*.f64 y y)))) |
(fma.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 y))) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x))) |
(fma.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 y))) (*.f64 x x)) |
(fma.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 y)) (*.f64 (neg.f64 x) x)) |
(fma.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))) (*.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 y))) |
(fma.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))) (*.f64 y y)) |
(fma.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 y) y)) |
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x))) |
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) (*.f64 x x)) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 y))) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 y y)) |
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (neg.f64 x))) (*.f64 (neg.f64 y) y)) |
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 y))) |
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 y y)) |
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 x) (*.f64 (neg.f64 y) y)) |
(fma.f64 (neg.f64 (neg.f64 x)) x (*.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 y))) |
(fma.f64 (neg.f64 (neg.f64 x)) x (*.f64 y y)) |
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 (neg.f64 y))) (*.f64 (neg.f64 x) x)) |
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x))) |
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)) (*.f64 x x)) |
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 y) (*.f64 (neg.f64 x) x)) |
(fma.f64 (neg.f64 (neg.f64 y)) y (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x))) |
(fma.f64 (neg.f64 (neg.f64 y)) y (*.f64 x x)) |
(fma.f64 (neg.f64 y) (neg.f64 (neg.f64 y)) (*.f64 (neg.f64 x) x)) |
(fma.f64 (neg.f64 y) (neg.f64 y) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x))) |
(fma.f64 (neg.f64 y) (neg.f64 y) (*.f64 x x)) |
(fma.f64 (neg.f64 y) y (*.f64 (neg.f64 x) x)) |
(fma.f64 (neg.f64 x) (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 y) y)) |
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 y))) |
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 y y)) |
(fma.f64 (neg.f64 x) x (*.f64 (neg.f64 y) y)) |
(fma.f64 y (neg.f64 (neg.f64 y)) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x))) |
(fma.f64 y (neg.f64 (neg.f64 y)) (*.f64 x x)) |
(fma.f64 y (neg.f64 y) (*.f64 (neg.f64 x) x)) |
(fma.f64 y y (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x))) |
(fma.f64 y y (*.f64 x x)) |
(fma.f64 x (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 y))) |
(fma.f64 x (neg.f64 (neg.f64 x)) (*.f64 y y)) |
(fma.f64 x (neg.f64 x) (*.f64 (neg.f64 y) y)) |
(fma.f64 x x (*.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 y))) |
(fma.f64 x x (*.f64 y y)) |
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 y x) (-.f64 y x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 y x) (-.f64 y x)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (*.f64 y y)))) |
(-.f64 (*.f64 y y) (*.f64 (neg.f64 x) x)) |
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (neg.f64 (neg.f64 y))) y)) |
(-.f64 (*.f64 x x) (*.f64 (neg.f64 y) y)) |
(+.f64 (neg.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) |
(+.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 y) y)) |
(+.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (*.f64 y y)))) |
(+.f64 (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 x) x)) |
(+.f64 (*.f64 y y) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x))) |
(+.f64 (*.f64 y y) (*.f64 x x)) |
(+.f64 (*.f64 x x) (*.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 y))) |
(+.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x)))) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(*.f64 (neg.f64 (neg.f64 x)) x) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (neg.f64 x))) |
(*.f64 x x) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(sqrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(fabs.f64 (*.f64 (neg.f64 x) x)) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(*.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 y)))) |
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y))) |
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y))) |
(*.f64 (neg.f64 (neg.f64 y)) y) |
(*.f64 (neg.f64 y) (neg.f64 y)) |
(*.f64 y (neg.f64 (neg.f64 y))) |
(*.f64 y y) |
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 y) #s(literal 2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 1 binary64)) |
(pow.f64 y #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 y) y)) |
(sqrt.f64 (pow.f64 y #s(literal 4 binary64))) |
(fabs.f64 (*.f64 (neg.f64 y) y)) |
(fabs.f64 (*.f64 y y)) |
(exp.f64 (*.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))) |
Compiled 12 610 to 1 332 computations (89.4% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 464 | 3 | 467 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 465 | 3 | 468 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x))) |
| ▶ | 99.9% | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))) |
| ▶ | 55.3% | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y))) |
Compiled 56 to 29 computations (48.2% saved)
| 1× | egg-herbie |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 y y (*.f64 x x)) | |
| cost-diff | 0 | (+.f64 y y) | |
| cost-diff | 3 | (fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 #s(literal 3 binary64) y) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (*.f64 #s(literal 3 binary64) (*.f64 y y)) | |
| cost-diff | 0 | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 97 |
| 0 | 28 | 86 |
| 1 | 60 | 86 |
| 2 | 180 | 80 |
| 3 | 472 | 80 |
| 4 | 847 | 80 |
| 5 | 1092 | 80 |
| 6 | 1318 | 80 |
| 7 | 1408 | 80 |
| 8 | 1488 | 80 |
| 0 | 1488 | 80 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y))) |
(*.f64 #s(literal 3 binary64) (*.f64 y y)) |
#s(literal 3 binary64) |
(*.f64 y y) |
y |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))) |
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) |
(*.f64 #s(literal 3 binary64) y) |
#s(literal 3 binary64) |
y |
(*.f64 x x) |
x |
(fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x))) |
y |
(+.f64 y y) |
(fma.f64 y y (*.f64 x x)) |
(*.f64 x x) |
x |
| Outputs |
|---|
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y))) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) |
(*.f64 #s(literal 3 binary64) (*.f64 y y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) y) |
#s(literal 3 binary64) |
(*.f64 y y) |
y |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))) |
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) |
(*.f64 #s(literal 3 binary64) y) |
#s(literal 3 binary64) |
y |
(*.f64 x x) |
x |
(fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x))) |
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) |
y |
(+.f64 y y) |
(*.f64 #s(literal 2 binary64) y) |
(fma.f64 y y (*.f64 x x)) |
(fma.f64 x x (*.f64 y y)) |
(*.f64 x x) |
x |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (fma.f64 y y (*.f64 x x)) | |
| accuracy | 0.0 | (+.f64 y y) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.01171875 | (fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x))) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.0 | (*.f64 #s(literal 3 binary64) y) | |
| accuracy | 0.0 | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))) | |
| accuracy | 0.08984375 | (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) | |
| accuracy | 0.0 | (*.f64 y y) | |
| accuracy | 0.140625 | (*.f64 #s(literal 3 binary64) (*.f64 y y)) | |
| accuracy | 28.56589983932065 | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y))) |
| 50.0ms | 256× | 0 | valid |
Compiled 88 to 18 computations (79.5% saved)
ival-mult: 9.0ms (52.6% of total)ival-add: 8.0ms (46.8% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y))) |
(*.f64 #s(literal 3 binary64) (*.f64 y y)) |
(*.f64 y y) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))) |
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) |
(*.f64 #s(literal 3 binary64) y) |
(*.f64 x x) |
(fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x))) |
(+.f64 y y) |
(fma.f64 y y (*.f64 x x)) |
| Outputs |
|---|
(+ (* 2 (pow y 2)) (pow y 2)) |
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2))) |
(* 3 (pow y 2)) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(pow x 2) |
(pow y 2) |
(+ (pow x 2) (pow y 2)) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(* 3 y) |
(* 2 y) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | -inf | ((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (* y y)) (* y y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* (* 3 y) y) (* x x)) (* 3 y) (* x x) (+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x))) |
| 1.0ms | y | @ | inf | ((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (* y y)) (* y y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* (* 3 y) y) (* x x)) (* 3 y) (* x x) (+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x))) |
| 1.0ms | y | @ | 0 | ((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (* y y)) (* y y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* (* 3 y) y) (* x x)) (* 3 y) (* x x) (+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x))) |
| 1.0ms | x | @ | inf | ((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (* y y)) (* y y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* (* 3 y) y) (* x x)) (* 3 y) (* x x) (+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x))) |
| 1.0ms | x | @ | 0 | ((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (* y y)) (* y y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* (* 3 y) y) (* x x)) (* 3 y) (* x x) (+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 108 |
| 1 | 92 | 88 |
| 2 | 293 | 88 |
| 3 | 1940 | 88 |
| 4 | 7938 | 88 |
| 0 | 8237 | 80 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* 2 (pow y 2)) (pow y 2)) |
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2))) |
(* 3 (pow y 2)) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(pow x 2) |
(pow y 2) |
(+ (pow x 2) (pow y 2)) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(* 3 y) |
(* 2 y) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
| Outputs |
|---|
(+ (* 2 (pow y 2)) (pow y 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 y y)) |
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2))) |
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) |
(* 3 (pow y 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 y y)) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(pow y 2) |
(*.f64 y y) |
(+ (pow x 2) (pow y 2)) |
(fma.f64 y y (*.f64 x x)) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) |
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(fma.f64 y y (*.f64 x x)) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(fma.f64 y y (*.f64 x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 87 |
| 0 | 28 | 79 |
| 1 | 136 | 76 |
| 2 | 1415 | 76 |
| 0 | 9419 | 73 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y))) |
(*.f64 #s(literal 3 binary64) (*.f64 y y)) |
(*.f64 y y) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))) |
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) |
(*.f64 #s(literal 3 binary64) y) |
(*.f64 x x) |
(fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x))) |
(+.f64 y y) |
(fma.f64 y y (*.f64 x x)) |
| Outputs |
|---|
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) |
(*.f64 (fabs.f64 (*.f64 #s(literal 3 binary64) (neg.f64 y))) y) |
(*.f64 (fabs.f64 (*.f64 #s(literal 3 binary64) y)) y) |
(*.f64 (*.f64 #s(literal 3 binary64) (neg.f64 y)) (neg.f64 y)) |
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal 3 binary64))) |
(*.f64 (*.f64 #s(literal 3 binary64) y) y) |
(*.f64 #s(literal 3 binary64) (*.f64 y y)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(*.f64 y (fabs.f64 (*.f64 (neg.f64 y) #s(literal 3 binary64)))) |
(*.f64 y (fabs.f64 (*.f64 #s(literal 3 binary64) y))) |
(*.f64 y (*.f64 #s(literal 3 binary64) y)) |
(sqrt.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) |
(fabs.f64 (neg.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) y))) |
(fabs.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) y)) |
(*.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 y)))) |
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y))) |
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y))) |
(*.f64 (neg.f64 y) (neg.f64 y)) |
(*.f64 y y) |
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 y) #s(literal 2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 1 binary64)) |
(pow.f64 y #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 y) y)) |
(sqrt.f64 (pow.f64 y #s(literal 4 binary64))) |
(fabs.f64 (*.f64 (neg.f64 y) y)) |
(fabs.f64 (*.f64 y y)) |
(exp.f64 (*.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) (/.f64 (*.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))) (*.f64 (/.f64 (*.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))))))) |
(/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 (neg.f64 (neg.f64 x)) x) #s(literal 3 binary64))) (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 (neg.f64 x)) x) (*.f64 (neg.f64 (neg.f64 x)) x)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) y) (*.f64 (neg.f64 (neg.f64 x)) x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 3 binary64) y) y)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 (neg.f64 x) x))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) y) (*.f64 (neg.f64 x) x)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 (neg.f64 x) x))) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 (neg.f64 x) x)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 (neg.f64 x) x)))) |
(/.f64 (fma.f64 (*.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (*.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 3 binary64) y) y))) |
(/.f64 (-.f64 (*.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) y) (*.f64 (neg.f64 x) x))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 (neg.f64 x) x)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))) |
(/.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 (neg.f64 x) x))) |
(/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) |
(/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) |
(fma.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) |
(fma.f64 (fabs.f64 (*.f64 #s(literal 3 binary64) (neg.f64 y))) y (*.f64 (neg.f64 (neg.f64 x)) x)) |
(fma.f64 (fabs.f64 (*.f64 #s(literal 3 binary64) (neg.f64 y))) y (*.f64 x x)) |
(fma.f64 (fabs.f64 (*.f64 #s(literal 3 binary64) y)) y (*.f64 (neg.f64 (neg.f64 x)) x)) |
(fma.f64 (fabs.f64 (*.f64 #s(literal 3 binary64) y)) y (*.f64 x x)) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) |
(fma.f64 (*.f64 #s(literal 3 binary64) (neg.f64 y)) (neg.f64 y) (*.f64 (neg.f64 (neg.f64 x)) x)) |
(fma.f64 (*.f64 #s(literal 3 binary64) (neg.f64 y)) (neg.f64 y) (*.f64 x x)) |
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) |
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) |
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal 3 binary64)) (*.f64 (neg.f64 (neg.f64 x)) x)) |
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal 3 binary64)) (*.f64 x x)) |
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 (neg.f64 (neg.f64 x)) x)) |
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) |
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 (neg.f64 (neg.f64 x)) x)) |
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x)) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 (neg.f64 (neg.f64 x)) x)) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(fma.f64 y (fabs.f64 (*.f64 (neg.f64 y) #s(literal 3 binary64))) (*.f64 (neg.f64 (neg.f64 x)) x)) |
(fma.f64 y (fabs.f64 (*.f64 (neg.f64 y) #s(literal 3 binary64))) (*.f64 x x)) |
(fma.f64 y (fabs.f64 (*.f64 #s(literal 3 binary64) y)) (*.f64 (neg.f64 (neg.f64 x)) x)) |
(fma.f64 y (fabs.f64 (*.f64 #s(literal 3 binary64) y)) (*.f64 x x)) |
(fma.f64 y (*.f64 #s(literal 3 binary64) y) (*.f64 (neg.f64 (neg.f64 x)) x)) |
(fma.f64 y (*.f64 #s(literal 3 binary64) y) (*.f64 x x)) |
(fma.f64 x x (*.f64 (*.f64 #s(literal 3 binary64) y) y)) |
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 3 binary64) y) y))) (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 3 binary64) y) y)))) |
(-.f64 (/.f64 (*.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) y) (*.f64 (neg.f64 x) x))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) y) (*.f64 (neg.f64 x) x)))))) |
(-.f64 (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 (neg.f64 x) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 (neg.f64 x) x)))) |
(-.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) y) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))) |
(-.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) y) (*.f64 (neg.f64 x) x)) |
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 #s(literal 3 binary64) y)) y)) |
(-.f64 (*.f64 x x) (*.f64 #s(literal -3 binary64) (*.f64 y y))) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 y) y) #s(literal 3 binary64))) |
(-.f64 (*.f64 x x) (*.f64 (neg.f64 y) (*.f64 #s(literal 3 binary64) y))) |
(+.f64 (/.f64 (*.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) (/.f64 (*.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) (/.f64 (*.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))) |
(+.f64 (/.f64 (*.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))) |
(+.f64 (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 (neg.f64 x) x))) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 (neg.f64 x) x)))) |
(+.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) y) (*.f64 (neg.f64 (neg.f64 x)) x)) |
(+.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) y) (*.f64 x x)) |
(+.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) |
(*.f64 #s(literal 3 binary64) y) |
(*.f64 y #s(literal 3 binary64)) |
(*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x)))) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
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(-.f64 (*.f64 y y) (*.f64 (neg.f64 x) x)) |
(+.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y)))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 y x) (-.f64 y x))) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) (*.f64 (+.f64 y x) (-.f64 y x)))) |
(+.f64 (*.f64 x x) (*.f64 (neg.f64 (neg.f64 y)) y)) |
(+.f64 (*.f64 x x) (*.f64 y y)) |
(+.f64 (*.f64 y y) (*.f64 (neg.f64 (neg.f64 x)) x)) |
(+.f64 (*.f64 y y) (*.f64 x x)) |
Compiled 24 106 to 2 033 computations (91.6% saved)
5 alts after pruning (3 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 680 | 3 | 683 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 2 | 3 |
| Done | 0 | 0 | 0 |
| Total | 681 | 5 | 686 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 55.3% | (fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y))) |
| ▶ | 99.9% | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x))) |
| ✓ | 99.9% | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))) |
| ▶ | 55.2% | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) |
| ✓ | 55.3% | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y))) |
Compiled 106 to 55 computations (48.1% saved)
| 1× | egg-herbie |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | #s(approx (+ (* y y) (* x x)) (*.f64 y y)) | |
| cost-diff | 0 | (+.f64 y y) | |
| cost-diff | 0 | (fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x))) | |
| cost-diff | 0 | (*.f64 #s(literal 3 binary64) y) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 3 binary64) y) y) | |
| cost-diff | 0 | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 106 |
| 0 | 28 | 102 |
| 1 | 59 | 102 |
| 2 | 180 | 92 |
| 3 | 488 | 92 |
| 4 | 888 | 92 |
| 5 | 1148 | 92 |
| 6 | 1384 | 92 |
| 7 | 1474 | 92 |
| 8 | 1554 | 92 |
| 0 | 1554 | 90 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) y) |
(*.f64 #s(literal 3 binary64) y) |
#s(literal 3 binary64) |
y |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(*.f64 y y) |
y |
#s(literal 3 binary64) |
(*.f64 x x) |
x |
(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y))) |
y |
(+.f64 y y) |
#s(approx (+ (* y y) (* x x)) (*.f64 y y)) |
(*.f64 y y) |
| Outputs |
|---|
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) y) |
(*.f64 #s(literal 3 binary64) y) |
#s(literal 3 binary64) |
y |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x))) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x)) |
(*.f64 y y) |
y |
#s(literal 3 binary64) |
(*.f64 x x) |
x |
(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y))) |
(fma.f64 #s(literal 2 binary64) (*.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y))) |
y |
(+.f64 y y) |
(*.f64 #s(literal 2 binary64) y) |
#s(approx (+ (* y y) (* x x)) (*.f64 y y)) |
(*.f64 y y) |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (+.f64 y y) | |
| accuracy | 0.0 | (*.f64 y y) | |
| accuracy | 0.01171875 | (fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y))) | |
| accuracy | 28.588164821550812 | #s(approx (+ (* y y) (* x x)) (*.f64 y y)) | |
| accuracy | 0.0 | (*.f64 y y) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.0 | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x))) | |
| accuracy | 0.05859375 | (fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) | |
| accuracy | 0.0 | (*.f64 #s(literal 3 binary64) y) | |
| accuracy | 0.16015625 | (*.f64 (*.f64 #s(literal 3 binary64) y) y) | |
| accuracy | 28.56589983932065 | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) |
| 38.0ms | 256× | 0 | valid |
Compiled 87 to 18 computations (79.3% saved)
ival-mult: 15.0ms (67.7% of total)ival-add: 7.0ms (31.6% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) y) |
(*.f64 #s(literal 3 binary64) y) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(*.f64 y y) |
(*.f64 x x) |
(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y))) |
(+.f64 y y) |
#s(approx (+ (* y y) (* x x)) (*.f64 y y)) |
| Outputs |
|---|
(+ (* 2 (pow y 2)) (pow y 2)) |
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2))) |
(* 3 (pow y 2)) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(pow x 2) |
(pow y 2) |
(+ (pow x 2) (pow y 2)) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(* 3 y) |
(* 2 y) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | ((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* 3 y) y) (* 3 y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* (* y y) 3) (* x x)) (* y y) (* x x) (+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x))) |
| 1.0ms | y | @ | inf | ((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* 3 y) y) (* 3 y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* (* y y) 3) (* x x)) (* y y) (* x x) (+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x))) |
| 1.0ms | y | @ | 0 | ((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* 3 y) y) (* 3 y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* (* y y) 3) (* x x)) (* y y) (* x x) (+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x))) |
| 1.0ms | x | @ | inf | ((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* 3 y) y) (* 3 y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* (* y y) 3) (* x x)) (* y y) (* x x) (+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x))) |
| 1.0ms | x | @ | -inf | ((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* 3 y) y) (* 3 y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* (* y y) 3) (* x x)) (* y y) (* x x) (+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 108 |
| 1 | 92 | 88 |
| 2 | 293 | 88 |
| 3 | 1940 | 88 |
| 4 | 7938 | 88 |
| 0 | 8237 | 80 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* 2 (pow y 2)) (pow y 2)) |
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2))) |
(* 3 (pow y 2)) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(pow x 2) |
(pow y 2) |
(+ (pow x 2) (pow y 2)) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(* 3 y) |
(* 2 y) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
| Outputs |
|---|
(+ (* 2 (pow y 2)) (pow y 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 y y)) |
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2))) |
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) |
(* 3 (pow y 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 y y)) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(pow y 2) |
(*.f64 y y) |
(+ (pow x 2) (pow y 2)) |
(fma.f64 y y (*.f64 x x)) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) |
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(fma.f64 y y (*.f64 x x)) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(fma.f64 y y (*.f64 x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 97 |
| 0 | 28 | 93 |
| 1 | 130 | 88 |
| 2 | 1397 | 88 |
| 0 | 8737 | 81 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) y) |
(*.f64 #s(literal 3 binary64) y) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(*.f64 y y) |
(*.f64 x x) |
(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y))) |
(+.f64 y y) |
#s(approx (+ (* y y) (* x x)) (*.f64 y y)) |
| Outputs |
|---|
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) |
(*.f64 (fabs.f64 (*.f64 #s(literal 3 binary64) (neg.f64 y))) y) |
(*.f64 (fabs.f64 (*.f64 #s(literal 3 binary64) y)) y) |
(*.f64 (*.f64 #s(literal 3 binary64) (neg.f64 y)) (neg.f64 y)) |
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal 3 binary64))) |
(*.f64 (*.f64 #s(literal 3 binary64) y) y) |
(*.f64 #s(literal 3 binary64) (*.f64 y y)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(*.f64 y (fabs.f64 (*.f64 (neg.f64 y) #s(literal 3 binary64)))) |
(*.f64 y (fabs.f64 (*.f64 #s(literal 3 binary64) y))) |
(*.f64 y (*.f64 #s(literal 3 binary64) y)) |
(sqrt.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) |
(fabs.f64 (neg.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) y))) |
(fabs.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) y)) |
(*.f64 #s(literal 3 binary64) y) |
(*.f64 y #s(literal 3 binary64)) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) (/.f64 (*.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))) (*.f64 (/.f64 (*.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))))))) |
(/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 (neg.f64 (neg.f64 x)) x) #s(literal 3 binary64))) (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 (neg.f64 x)) x) (*.f64 (neg.f64 (neg.f64 x)) x)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) y) (*.f64 (neg.f64 (neg.f64 x)) x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 3 binary64) y) y)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 (neg.f64 x) x))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))))) |
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(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 (neg.f64 x) x))) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 (neg.f64 x) x)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 (neg.f64 x) x)))) |
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(exp.f64 (fma.f64 (log.f64 y) #s(literal 3 binary64) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64) (*.f64 (log.f64 y) #s(literal 3 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64)))) |
(+.f64 (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 y) y)) |
(+.f64 (neg.f64 y) (neg.f64 y)) |
(+.f64 (*.f64 y y) (*.f64 y y)) |
(+.f64 y y) |
#s(approx (+ (* y y) (* x x)) (*.f64 y y)) |
Compiled 8 240 to 775 computations (90.6% saved)
6 alts after pruning (1 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 270 | 1 | 271 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 2 | 2 |
| Total | 270 | 6 | 276 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 55.3% | (fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y))) |
| ▶ | 30.8% | (fma.f64 y #s(literal 2 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 y y))) |
| ✓ | 99.9% | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x))) |
| ✓ | 99.9% | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))) |
| ✓ | 55.2% | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) |
| ✓ | 55.3% | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y))) |
Compiled 120 to 64 computations (46.7% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | #s(approx (+ (* y y) (* x x)) (*.f64 y y)) | |
| cost-diff | 0 | (fma.f64 y #s(literal 2 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 y y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 30 |
| 0 | 12 | 30 |
| 1 | 27 | 30 |
| 2 | 75 | 30 |
| 3 | 141 | 30 |
| 4 | 188 | 30 |
| 5 | 190 | 30 |
| 0 | 190 | 28 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 y #s(literal 2 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 y y))) |
y |
#s(literal 2 binary64) |
#s(approx (+ (* y y) (* x x)) (*.f64 y y)) |
(*.f64 y y) |
| Outputs |
|---|
(fma.f64 y #s(literal 2 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 y y))) |
(fma.f64 #s(literal 2 binary64) y #s(approx (+ (* y y) (* x x)) (*.f64 y y))) |
y |
#s(literal 2 binary64) |
#s(approx (+ (* y y) (* x x)) (*.f64 y y)) |
(*.f64 y y) |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 y y) | |
| accuracy | 0.0078125 | (fma.f64 y #s(literal 2 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 y y))) | |
| accuracy | 28.588164821550812 | #s(approx (+ (* y y) (* x x)) (*.f64 y y)) |
| 20.0ms | 256× | 0 | valid |
Compiled 25 to 10 computations (60% saved)
ival-mult: 11.0ms (81.5% of total)ival-add: 2.0ms (14.8% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 y #s(literal 2 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 y y))) |
#s(approx (+ (* y y) (* x x)) (*.f64 y y)) |
(*.f64 y y) |
| Outputs |
|---|
(+ (* 2 y) (pow y 2)) |
(+ (* 2 y) (+ (pow x 2) (pow y 2))) |
(pow y 2) |
(+ (pow x 2) (pow y 2)) |
(pow x 2) |
(* (pow x 2) (+ 1 (+ (* 2 (/ y (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(+ (* 2 y) (pow x 2)) |
(+ (* y (+ 2 y)) (pow x 2)) |
(* (pow y 2) (+ 1 (* 2 (/ 1 y)))) |
(* (pow y 2) (+ 1 (+ (* 2 (/ 1 y)) (/ (pow x 2) (pow y 2))))) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) 2) y)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | ((+ (* y 2) (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* y y)) |
| 1.0ms | y | @ | -inf | ((+ (* y 2) (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* y y)) |
| 0.0ms | x | @ | inf | ((+ (* y 2) (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* y y)) |
| 0.0ms | x | @ | 0 | ((+ (* y 2) (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* y y)) |
| 0.0ms | y | @ | 0 | ((+ (* y 2) (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* y y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 109 |
| 1 | 126 | 95 |
| 2 | 448 | 95 |
| 3 | 2374 | 95 |
| 0 | 8594 | 86 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* 2 y) (pow y 2)) |
(+ (* 2 y) (+ (pow x 2) (pow y 2))) |
(pow y 2) |
(+ (pow x 2) (pow y 2)) |
(pow x 2) |
(* (pow x 2) (+ 1 (+ (* 2 (/ y (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(+ (* 2 y) (pow x 2)) |
(+ (* y (+ 2 y)) (pow x 2)) |
(* (pow y 2) (+ 1 (* 2 (/ 1 y)))) |
(* (pow y 2) (+ 1 (+ (* 2 (/ 1 y)) (/ (pow x 2) (pow y 2))))) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) 2) y)))) |
| Outputs |
|---|
(+ (* 2 y) (pow y 2)) |
(*.f64 (+.f64 #s(literal 2 binary64) y) y) |
(+ (* 2 y) (+ (pow x 2) (pow y 2))) |
(fma.f64 (+.f64 #s(literal 2 binary64) y) y (*.f64 x x)) |
(pow y 2) |
(*.f64 y y) |
(+ (pow x 2) (pow y 2)) |
(fma.f64 x x (*.f64 y y)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (+ (* 2 (/ y (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) y) x) x) y #s(literal 1 binary64)) x) x) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(fma.f64 x x (*.f64 y y)) |
(+ (* 2 y) (pow x 2)) |
(fma.f64 #s(literal 2 binary64) y (*.f64 x x)) |
(+ (* y (+ 2 y)) (pow x 2)) |
(fma.f64 (+.f64 #s(literal 2 binary64) y) y (*.f64 x x)) |
(* (pow y 2) (+ 1 (* 2 (/ 1 y)))) |
(*.f64 (+.f64 #s(literal 2 binary64) y) y) |
(* (pow y 2) (+ 1 (+ (* 2 (/ 1 y)) (/ (pow x 2) (pow y 2))))) |
(fma.f64 (+.f64 #s(literal 2 binary64) y) y (*.f64 x x)) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(fma.f64 x x (*.f64 y y)) |
(* (pow y 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) 2) y)))) |
(fma.f64 (+.f64 #s(literal 2 binary64) y) y (*.f64 x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 28 |
| 0 | 12 | 28 |
| 1 | 54 | 28 |
| 2 | 476 | 28 |
| 3 | 7270 | 28 |
| 0 | 8207 | 26 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 y #s(literal 2 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 y y))) |
#s(approx (+ (* y y) (* x x)) (*.f64 y y)) |
(*.f64 y y) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (pow.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (pow.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #s(literal 3 binary64)))) (fma.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (fma.f64 #s(literal 2 binary64) y #s(approx (+ (* y y) (* x x)) (*.f64 y y))) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) |
(*.f64 (/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (pow.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (pow.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) y #s(approx (+ (* y y) (* x x)) (*.f64 y y)))) |
(*.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #s(literal 3 binary64))) (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (*.f64 (-.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 2 binary64) y)) #s(approx (+ (* y y) (* x x)) (*.f64 y y))) #s(literal 2 binary64)))) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 (neg.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y))) (-.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 2 binary64) y))))) |
(*.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #s(literal 3 binary64))) (fma.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 (-.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 2 binary64) y)) #s(approx (+ (* y y) (* x x)) (*.f64 y y))) #s(literal 3 binary64)))) (fma.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 (-.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 2 binary64) y)) #s(approx (+ (* y y) (* x x)) (*.f64 y y))) (-.f64 (*.f64 (-.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 2 binary64) y)) #s(approx (+ (* y y) (* x x)) (*.f64 y y))) (*.f64 #s(literal 4 binary64) (*.f64 y y)))))) |
(*.f64 (fma.f64 (-.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 2 binary64) y)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 4 binary64) (*.f64 y y))) (/.f64 (fma.f64 #s(literal 2 binary64) y #s(approx (+ (* y y) (* x x)) (*.f64 y y))) (fma.f64 (-.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 2 binary64) y)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 4 binary64) (*.f64 y y))))) |
(*.f64 (fma.f64 #s(literal 2 binary64) y #s(approx (+ (* y y) (* x x)) (*.f64 y y))) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (*.f64 y y))) (-.f64 (*.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (*.f64 y y))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 (*.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 (*.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (*.f64 y y))))) (*.f64 (/.f64 (pow.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))) (/.f64 (pow.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))))) (fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 y y) (-.f64 (*.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))) (/.f64 (pow.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 2 binary64) y)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 2 binary64) y)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 4 binary64) (*.f64 y y))))) (*.f64 (/.f64 (pow.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 2 binary64) y)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (/.f64 (pow.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 2 binary64) y)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 4 binary64) (*.f64 y y)))))) (-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 2 binary64) y)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (/.f64 (pow.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 2 binary64) y)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 4 binary64) (*.f64 y y)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 (*.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 (*.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 (*.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))) (fma.f64 (/.f64 (pow.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))) (/.f64 (pow.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))) (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 (*.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))) (/.f64 (pow.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))))))) |
(/.f64 (-.f64 (pow.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 2 binary64) y)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 2 binary64) y)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 2 binary64) y)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 2 binary64) y)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 2 binary64) y)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (-.f64 (*.f64 (/.f64 (pow.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 2 binary64) y)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (/.f64 (pow.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 2 binary64) y)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 4 binary64) (*.f64 y y))))) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 2 binary64) y)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (/.f64 (pow.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 2 binary64) y)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 4 binary64) (*.f64 y y)))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (neg.f64 (-.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 2 binary64) y)))) |
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(fma.f64 (*.f64 y y) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))) (/.f64 (neg.f64 (pow.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (*.f64 y y))))) |
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) y) (-.f64 (*.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))) (/.f64 (neg.f64 (pow.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (*.f64 y y))))) |
(fma.f64 #s(literal 2 binary64) y #s(approx (+ (* y y) (* x x)) (*.f64 y y))) |
(fma.f64 y (/.f64 (*.f64 #s(literal 4 binary64) y) (-.f64 (*.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))) (/.f64 (neg.f64 (pow.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (*.f64 y y))))) |
(fma.f64 y #s(literal 2 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 y y))) |
(-.f64 (/.f64 (pow.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #s(literal 2 binary64)) (-.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 2 binary64) y))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 2 binary64) y)))) |
(-.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 (*.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))) (/.f64 (pow.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (*.f64 y y))))) |
(-.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal -2 binary64) y)) |
(+.f64 (+.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) y) y) |
(+.f64 (/.f64 (pow.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 2 binary64) y)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 2 binary64) y)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 4 binary64) (*.f64 y y))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 2 binary64) y)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (/.f64 (pow.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 2 binary64) y)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 4 binary64) (*.f64 y y))))) |
(+.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 (*.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))) (/.f64 (neg.f64 (pow.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (*.f64 y y))))) |
(+.f64 (*.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (*.f64 y y))) |
(+.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 2 binary64) y)) |
(+.f64 y (+.f64 y #s(approx (+ (* y y) (* x x)) (*.f64 y y)))) |
#s(approx (+ (* y y) (* x x)) (*.f64 y y)) |
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y))) |
(*.f64 (neg.f64 y) (neg.f64 y)) |
(*.f64 y y) |
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 y) #s(literal 2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 1 binary64)) |
(pow.f64 y #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 y) y)) |
(sqrt.f64 (pow.f64 y #s(literal 4 binary64))) |
(fabs.f64 (*.f64 (neg.f64 y) y)) |
(fabs.f64 (*.f64 y y)) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 y))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64)))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))) |
Compiled 5 262 to 306 computations (94.2% saved)
8 alts after pruning (3 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 87 | 3 | 90 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 5 | 5 |
| Total | 88 | 8 | 96 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 55.3% | (fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y))) |
| ✓ | 99.9% | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x))) |
| ✓ | 99.9% | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))) |
| ✓ | 55.2% | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) |
| ✓ | 55.3% | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y))) |
| 71.0% | #s(approx (+ (* y 2) (+ (* y y) (* x x))) (fma.f64 (+.f64 #s(literal 2 binary64) y) y (*.f64 x x))) | |
| 30.8% | #s(approx (+ (* y 2) (+ (* y y) (* x x))) (*.f64 (+.f64 #s(literal 2 binary64) y) y)) | |
| 57.6% | #s(approx (+ (* y 2) (+ (* y y) (* x x))) (*.f64 x x)) |
Compiled 356 to 129 computations (63.8% saved)
| Inputs |
|---|
#s(approx (+ (* y 2) (+ (* y y) (* x x))) (*.f64 x x)) |
#s(approx (+ (* y 2) (+ (* y y) (* x x))) (*.f64 (+.f64 #s(literal 2 binary64) y) y)) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y))) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) |
(fma.f64 y #s(literal 2 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 y y))) |
#s(approx (+ (* y 2) (+ (* y y) (* x x))) (fma.f64 (+.f64 #s(literal 2 binary64) y) y (*.f64 x x))) |
(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y))) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x))) |
(fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x))) |
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) |
| Outputs |
|---|
(fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x))) |
5 calls:
| 4.0ms | y |
| 3.0ms | x |
| 3.0ms | (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) |
| 3.0ms | (*.f64 x x) |
| 3.0ms | (*.f64 y y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | (*.f64 y y) |
| 100.0% | 1 | (*.f64 x x) |
| 100.0% | 1 | (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) |
| 100.0% | 1 | x |
| 100.0% | 1 | y |
Compiled 23 to 17 computations (26.1% saved)
| Inputs |
|---|
#s(approx (+ (* y 2) (+ (* y y) (* x x))) (*.f64 x x)) |
#s(approx (+ (* y 2) (+ (* y y) (* x x))) (*.f64 (+.f64 #s(literal 2 binary64) y) y)) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y))) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) |
(fma.f64 y #s(literal 2 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 y y))) |
#s(approx (+ (* y 2) (+ (* y y) (* x x))) (fma.f64 (+.f64 #s(literal 2 binary64) y) y (*.f64 x x))) |
(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y))) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x))) |
| Outputs |
|---|
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x))) |
5 calls:
| 28.0ms | (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) |
| 3.0ms | y |
| 3.0ms | x |
| 3.0ms | (*.f64 y y) |
| 3.0ms | (*.f64 x x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | (*.f64 y y) |
| 99.9% | 1 | (*.f64 x x) |
| 99.9% | 1 | (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) |
| 99.9% | 1 | x |
| 99.9% | 1 | y |
Compiled 23 to 17 computations (26.1% saved)
| Inputs |
|---|
#s(approx (+ (* y 2) (+ (* y y) (* x x))) (*.f64 x x)) |
#s(approx (+ (* y 2) (+ (* y y) (* x x))) (*.f64 (+.f64 #s(literal 2 binary64) y) y)) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y))) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) |
(fma.f64 y #s(literal 2 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 y y))) |
#s(approx (+ (* y 2) (+ (* y y) (* x x))) (fma.f64 (+.f64 #s(literal 2 binary64) y) y (*.f64 x x))) |
(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y))) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))) |
| Outputs |
|---|
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))) |
5 calls:
| 3.0ms | x |
| 3.0ms | y |
| 3.0ms | (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) |
| 2.0ms | (*.f64 x x) |
| 2.0ms | (*.f64 y y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | (*.f64 y y) |
| 99.9% | 1 | (*.f64 x x) |
| 99.9% | 1 | (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) |
| 99.9% | 1 | x |
| 99.9% | 1 | y |
Compiled 23 to 17 computations (26.1% saved)
| Inputs |
|---|
#s(approx (+ (* y 2) (+ (* y y) (* x x))) (*.f64 x x)) |
#s(approx (+ (* y 2) (+ (* y y) (* x x))) (*.f64 (+.f64 #s(literal 2 binary64) y) y)) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y))) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) |
(fma.f64 y #s(literal 2 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 y y))) |
#s(approx (+ (* y 2) (+ (* y y) (* x x))) (fma.f64 (+.f64 #s(literal 2 binary64) y) y (*.f64 x x))) |
(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y))) |
| Outputs |
|---|
(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y))) |
#s(approx (+ (* y 2) (+ (* y y) (* x x))) (fma.f64 (+.f64 #s(literal 2 binary64) y) y (*.f64 x x))) |
5 calls:
| 32.0ms | x |
| 3.0ms | y |
| 2.0ms | (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) |
| 2.0ms | (*.f64 x x) |
| 2.0ms | (*.f64 y y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.4% | 2 | (*.f64 y y) |
| 88.4% | 2 | (*.f64 x x) |
| 82.1% | 3 | (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) |
| 88.4% | 2 | x |
| 84.4% | 2 | y |
Compiled 23 to 17 computations (26.1% saved)
| Inputs |
|---|
#s(approx (+ (* y 2) (+ (* y y) (* x x))) (*.f64 x x)) |
#s(approx (+ (* y 2) (+ (* y y) (* x x))) (*.f64 (+.f64 #s(literal 2 binary64) y) y)) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y))) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) |
(fma.f64 y #s(literal 2 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 y y))) |
#s(approx (+ (* y 2) (+ (* y y) (* x x))) (fma.f64 (+.f64 #s(literal 2 binary64) y) y (*.f64 x x))) |
| Outputs |
|---|
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y))) |
#s(approx (+ (* y 2) (+ (* y y) (* x x))) (fma.f64 (+.f64 #s(literal 2 binary64) y) y (*.f64 x x))) |
2 calls:
| 2.0ms | x |
| 2.0ms | (*.f64 x x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.3% | 2 | (*.f64 x x) |
| 88.3% | 2 | x |
Compiled 4 to 5 computations (-25% saved)
| Inputs |
|---|
#s(approx (+ (* y 2) (+ (* y y) (* x x))) (*.f64 x x)) |
#s(approx (+ (* y 2) (+ (* y y) (* x x))) (*.f64 (+.f64 #s(literal 2 binary64) y) y)) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y))) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) |
(fma.f64 y #s(literal 2 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 y y))) |
| Outputs |
|---|
#s(approx (+ (* y 2) (+ (* y y) (* x x))) (*.f64 x x)) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y))) |
4 calls:
| 17.0ms | (*.f64 y y) |
| 2.0ms | x |
| 2.0ms | y |
| 2.0ms | (*.f64 x x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.4% | 2 | (*.f64 y y) |
| 84.4% | 2 | y |
| 82.9% | 2 | (*.f64 x x) |
| 82.9% | 2 | x |
Compiled 8 to 10 computations (-25% saved)
| Inputs |
|---|
#s(approx (+ (* y 2) (+ (* y y) (* x x))) (*.f64 x x)) |
#s(approx (+ (* y 2) (+ (* y y) (* x x))) (*.f64 (+.f64 #s(literal 2 binary64) y) y)) |
| Outputs |
|---|
#s(approx (+ (* y 2) (+ (* y y) (* x x))) (*.f64 x x)) |
#s(approx (+ (* y 2) (+ (* y y) (* x x))) (*.f64 (+.f64 #s(literal 2 binary64) y) y)) |
5 calls:
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) |
| 1.0ms | (*.f64 y y) |
| 1.0ms | (*.f64 x x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.3% | 2 | (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) |
| 61.8% | 2 | (*.f64 x x) |
| 61.8% | 2 | x |
| 76.0% | 2 | (*.f64 y y) |
| 76.0% | 2 | y |
Compiled 23 to 17 computations (26.1% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ (* y 2) (+ (* y y) (* x x))) (*.f64 x x)) |
| Outputs |
|---|
#s(approx (+ (* y 2) (+ (* y y) (* x x))) (*.f64 x x)) |
5 calls:
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | (*.f64 x x) |
| 1.0ms | (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) |
| 1.0ms | (*.f64 y y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.6% | 1 | (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) |
| 57.6% | 1 | (*.f64 x x) |
| 57.6% | 1 | x |
| 57.6% | 1 | (*.f64 y y) |
| 57.6% | 1 | y |
Compiled 23 to 17 computations (26.1% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 28.0ms | 1.624874907206104e-68 | 1.8773442453505453e-63 |
| 23.0ms | 144× | 0 | valid |
Compiled 342 to 228 computations (33.3% saved)
ival-mult: 18.0ms (92.4% of total)ival-add: 2.0ms (10.3% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.624874907206104e-68 | 1.8773442453505453e-63 |
Compiled 387 to 246 computations (36.4% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 25.0ms | 52573534808690.07 | 30383772533097450.0 |
| 20.0ms | 128× | 0 | valid |
Compiled 306 to 196 computations (35.9% saved)
ival-mult: 2.0ms (61.8% of total)ival-add: 1.0ms (30.9% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 36.0ms | 1.830182646611841e+118 | 2.2202006515397148e+122 |
| 6.0ms | 128× | 0 | valid |
Compiled 274 to 204 computations (25.5% saved)
ival-mult: 2.0ms (61.6% of total)ival-add: 1.0ms (30.8% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 235 |
| 1 | 69 | 215 |
| 2 | 181 | 207 |
| 3 | 478 | 207 |
| 4 | 962 | 207 |
| 5 | 1449 | 207 |
| 6 | 2339 | 207 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x))) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x))) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))) |
(if (<=.f64 x #s(literal 6669624340069413/3705346855594118253554271520278013051304639509300498049262642688253220148477952 binary64)) (fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y))) #s(approx (+ (* y 2) (+ (* y y) (* x x))) (fma.f64 (+.f64 #s(literal 2 binary64) y) y (*.f64 x x)))) |
(if (<=.f64 x #s(literal 6669624340069413/3705346855594118253554271520278013051304639509300498049262642688253220148477952 binary64)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y))) #s(approx (+ (* y 2) (+ (* y y) (* x x))) (fma.f64 (+.f64 #s(literal 2 binary64) y) y (*.f64 x x)))) |
(if (<=.f64 y #s(literal 76000000000000 binary64)) #s(approx (+ (* y 2) (+ (* y y) (* x x))) (*.f64 x x)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))) |
(if (<=.f64 y #s(literal 145999999999999998800630340712107006231761229639528449252966395403503615338796223458051414566142502256711221809031512326144 binary64)) #s(approx (+ (* y 2) (+ (* y y) (* x x))) (*.f64 x x)) #s(approx (+ (* y 2) (+ (* y y) (* x x))) (*.f64 (+.f64 #s(literal 2 binary64) y) y))) |
#s(approx (+ (* y 2) (+ (* y y) (* x x))) (*.f64 x x)) |
| Outputs |
|---|
(fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x))) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x))) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))) |
(if (<=.f64 x #s(literal 6669624340069413/3705346855594118253554271520278013051304639509300498049262642688253220148477952 binary64)) (fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y))) #s(approx (+ (* y 2) (+ (* y y) (* x x))) (fma.f64 (+.f64 #s(literal 2 binary64) y) y (*.f64 x x)))) |
(if (<=.f64 x #s(literal 6669624340069413/3705346855594118253554271520278013051304639509300498049262642688253220148477952 binary64)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y))) #s(approx (+ (* y 2) (+ (* y y) (* x x))) (fma.f64 (+.f64 #s(literal 2 binary64) y) y (*.f64 x x)))) |
(if (<=.f64 y #s(literal 76000000000000 binary64)) #s(approx (+ (* y 2) (+ (* y y) (* x x))) (*.f64 x x)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))) |
(if (<=.f64 y #s(literal 145999999999999998800630340712107006231761229639528449252966395403503615338796223458051414566142502256711221809031512326144 binary64)) #s(approx (+ (* y 2) (+ (* y y) (* x x))) (*.f64 x x)) #s(approx (+ (* y 2) (+ (* y y) (* x x))) (*.f64 (+.f64 #s(literal 2 binary64) y) y))) |
#s(approx (+ (* y 2) (+ (* y y) (* x x))) (*.f64 x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 97 |
| 0 | 28 | 93 |
| 1 | 130 | 88 |
| 2 | 1397 | 88 |
| 0 | 8737 | 81 |
| 0 | 18 | 87 |
| 0 | 28 | 79 |
| 1 | 136 | 76 |
| 2 | 1415 | 76 |
| 0 | 9419 | 73 |
| 0 | 30 | 121 |
| 1 | 93 | 105 |
| 2 | 321 | 105 |
| 3 | 2169 | 105 |
| 0 | 8459 | 95 |
| 0 | 40 | 109 |
| 1 | 126 | 95 |
| 2 | 448 | 95 |
| 3 | 2374 | 95 |
| 0 | 8594 | 86 |
| 0 | 30 | 108 |
| 1 | 92 | 88 |
| 2 | 293 | 88 |
| 3 | 1940 | 88 |
| 4 | 7938 | 88 |
| 0 | 8237 | 80 |
| 0 | 7 | 39 |
| 0 | 12 | 39 |
| 1 | 66 | 35 |
| 2 | 720 | 35 |
| 0 | 9413 | 31 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 235 to 43 computations (81.7% saved)
(abs x)
(abs y)
Compiled 566 to 138 computations (75.6% saved)
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