
Time bar (total: 7.7s)
| 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)
| 489.0ms | 8 256× | 0 | valid |
ival-mult: 144.0ms (53.8% of total)ival-add: 113.0ms (42.2% of total)ival-true: 7.0ms (2.6% of total)ival-assert: 4.0ms (1.5% 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 |
| 179.0ms | 512× | 0 | valid |
Compiled 101 to 25 computations (75.2% saved)
ival-add: 157.0ms (95.1% of total)ival-mult: 7.0ms (4.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 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 (*.f64 x x) (*.f64 y y)) | |
| accuracy | 0.0 | (*.f64 y y) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.0625 | (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) |
| 14.0ms | 256× | 0 | valid |
Compiled 43 to 9 computations (79.1% saved)
ival-add: 3.0ms (45.3% of total)ival-mult: 3.0ms (45.3% of total)ival-true: 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 | |
|---|---|---|---|---|
| 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)) |
| 1.0ms | 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)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 462 | 5 | 467 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 463 | 5 | 468 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x))) |
| ▶ | 24.5% | (/.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))))) |
| ▶ | 92.6% | (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (sqrt.f64 (pow.f64 y #s(literal 4 binary64)))) (*.f64 y y)) |
| ▶ | 99.9% | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))) |
| ▶ | 55.0% | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y))) |
Compiled 212 to 104 computations (50.9% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 1 | (-.f64 (*.f64 x x) (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y)))) | |
| cost-diff | 1 | (-.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))))) | |
| cost-diff | 3 | (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y))) | |
| cost-diff | 6 | (*.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)))) | |
| cost-diff | 1 | (sqrt.f64 (pow.f64 y #s(literal 4 binary64))) | |
| cost-diff | 1 | (+.f64 (*.f64 x x) (*.f64 y y)) | |
| cost-diff | 2 | (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (sqrt.f64 (pow.f64 y #s(literal 4 binary64)))) | |
| cost-diff | 4 | (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (sqrt.f64 (pow.f64 y #s(literal 4 binary64)))) (*.f64 y y)) | |
| 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))) | |
| 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))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 258 |
| 0 | 54 | 203 |
| 1 | 121 | 197 |
| 2 | 514 | 191 |
| 3 | 2487 | 183 |
| 4 | 7714 | 183 |
| 0 | 8212 | 178 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(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 |
#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 |
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (sqrt.f64 (pow.f64 y #s(literal 4 binary64)))) (*.f64 y y)) |
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (sqrt.f64 (pow.f64 y #s(literal 4 binary64)))) |
(+.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 x x) |
x |
(*.f64 y y) |
y |
(sqrt.f64 (pow.f64 y #s(literal 4 binary64))) |
(pow.f64 y #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(/.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 (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))))) |
(pow.f64 x #s(literal 4 binary64)) |
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)))) |
(fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y))) |
y |
(*.f64 #s(literal 2 binary64) (*.f64 y y)) |
#s(literal 2 binary64) |
(*.f64 y y) |
(-.f64 (*.f64 x x) (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y)))) |
(*.f64 x x) |
| Outputs |
|---|
(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 |
#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 |
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (sqrt.f64 (pow.f64 y #s(literal 4 binary64)))) (*.f64 y y)) |
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) |
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (sqrt.f64 (pow.f64 y #s(literal 4 binary64)))) |
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (*.f64 x x)) |
(+.f64 (*.f64 x x) (*.f64 y y)) |
(fma.f64 x x (*.f64 y y)) |
(*.f64 x x) |
x |
(*.f64 y y) |
y |
(sqrt.f64 (pow.f64 y #s(literal 4 binary64))) |
(*.f64 y y) |
(pow.f64 y #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(/.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 (fma.f64 #s(literal -9 binary64) (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -3 binary64) (*.f64 y y) (*.f64 x x))) |
(-.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))))) |
(fma.f64 #s(literal -9 binary64) (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(pow.f64 x #s(literal 4 binary64)) |
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 (pow.f64 y #s(literal 4 binary64)) #s(literal 9 binary64)) |
(fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y))) |
(*.f64 (*.f64 #s(literal 3 binary64) y) y) |
y |
(*.f64 #s(literal 2 binary64) (*.f64 y y)) |
#s(literal 2 binary64) |
(*.f64 y y) |
(-.f64 (*.f64 x x) (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y)))) |
(fma.f64 #s(literal -3 binary64) (*.f64 y y) (*.f64 x x)) |
(*.f64 x x) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.11785126953688403 | (*.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)))) | |
| accuracy | 3.343735550811441 | (-.f64 (*.f64 x x) (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y)))) | |
| accuracy | 6.996060723283294 | (-.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))))) | |
| accuracy | 41.843381758335326 | (/.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))))) | |
| accuracy | 0.0 | (*.f64 y y) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.0625 | (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (sqrt.f64 (pow.f64 y #s(literal 4 binary64)))) (*.f64 y y)) | |
| accuracy | 12.812162632328715 | (sqrt.f64 (pow.f64 y #s(literal 4 binary64))) | |
| 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 | 0.046875 | (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 | 28.764187465140537 | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y))) | |
| accuracy | 0.0 | (fma.f64 y y (*.f64 x x)) | |
| accuracy | 0.0 | (+.f64 y y) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.03125 | (fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x))) |
| 55.0ms | 256× | 0 | valid |
Compiled 258 to 31 computations (88% saved)
ival-add: 11.0ms (33.3% of total)ival-mult: 11.0ms (33.3% of total)ival-pow: 5.0ms (15.1% of total)ival-div: 2.0ms (6.1% of total)ival-sub: 2.0ms (6.1% of total)ival-sqrt: 2.0ms (6.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x))) |
(+.f64 y y) |
(fma.f64 y y (*.f64 x x)) |
(*.f64 x x) |
#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 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (sqrt.f64 (pow.f64 y #s(literal 4 binary64)))) (*.f64 y y)) |
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (sqrt.f64 (pow.f64 y #s(literal 4 binary64)))) |
(+.f64 (*.f64 x x) (*.f64 y y)) |
(sqrt.f64 (pow.f64 y #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)))) |
(fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y))) |
(-.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 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))))) |
| Outputs |
|---|
(+ (* 2 (pow y 2)) (pow y 2)) |
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2))) |
(pow y 2) |
(+ (pow x 2) (pow y 2)) |
(pow x 2) |
(* 3 (pow y 2)) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(* 2 (pow y 2)) |
(+ (* 2 (pow y 2)) (pow x 2)) |
(* -1 (pow (+ (* 2 (pow y 2)) (pow y 2)) 2)) |
(- (pow x 4) (pow (+ (* 2 (pow y 2)) (pow y 2)) 2)) |
(* -1 (+ (* 2 (pow y 2)) (pow y 2))) |
(- (pow x 2) (+ (* 2 (pow y 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 (/ (pow y 2) (pow x 2)))) |
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2))))) |
(pow x 4) |
(* (pow x 4) (+ 1 (* -1 (/ (pow (+ (* 2 (pow y 2)) (pow y 2)) 2) (pow x 4))))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* 2 (pow y 2)) (pow y 2)) (pow x 2))))) |
(* 2 y) |
(* 3 y) |
(* 9 (pow y 4)) |
(+ (* -9 (pow y 4)) (pow x 4)) |
(+ (* -3 (pow y 2)) (pow x 2)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2)))) |
(* -9 (pow y 4)) |
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 9)) |
(* -3 (pow y 2)) |
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 3)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | inf | ((+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x)) (* x x) (+ (+ (+ (* 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)) (sqrt (pow y 4))) (* y y)) (+ (+ (* x x) (* y y)) (sqrt (pow y 4))) (+ (* x x) (* y y)) (sqrt (pow y 4)) (* (+ (* y y) (* 2 (* y y))) (+ (* y y) (* 2 (* y y)))) (+ (* y y) (* 2 (* y y))) (- (pow x 4) (* (+ (* y y) (* 2 (* y y))) (+ (* y y) (* 2 (* y y))))) (- (* x x) (+ (* y y) (* 2 (* y y)))) (/ (- (pow x 4) (* (+ (* y y) (* 2 (* y y))) (+ (* y y) (* 2 (* y y))))) (- (* x x) (+ (* y y) (* 2 (* y y)))))) |
| 3.0ms | y | @ | 0 | ((+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x)) (* x x) (+ (+ (+ (* 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)) (sqrt (pow y 4))) (* y y)) (+ (+ (* x x) (* y y)) (sqrt (pow y 4))) (+ (* x x) (* y y)) (sqrt (pow y 4)) (* (+ (* y y) (* 2 (* y y))) (+ (* y y) (* 2 (* y y)))) (+ (* y y) (* 2 (* y y))) (- (pow x 4) (* (+ (* y y) (* 2 (* y y))) (+ (* y y) (* 2 (* y y))))) (- (* x x) (+ (* y y) (* 2 (* y y)))) (/ (- (pow x 4) (* (+ (* y y) (* 2 (* y y))) (+ (* y y) (* 2 (* y y))))) (- (* x x) (+ (* y y) (* 2 (* y y)))))) |
| 2.0ms | y | @ | -inf | ((+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x)) (* x x) (+ (+ (+ (* 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)) (sqrt (pow y 4))) (* y y)) (+ (+ (* x x) (* y y)) (sqrt (pow y 4))) (+ (* x x) (* y y)) (sqrt (pow y 4)) (* (+ (* y y) (* 2 (* y y))) (+ (* y y) (* 2 (* y y)))) (+ (* y y) (* 2 (* y y))) (- (pow x 4) (* (+ (* y y) (* 2 (* y y))) (+ (* y y) (* 2 (* y y))))) (- (* x x) (+ (* y y) (* 2 (* y y)))) (/ (- (pow x 4) (* (+ (* y y) (* 2 (* y y))) (+ (* y y) (* 2 (* y y))))) (- (* x x) (+ (* y y) (* 2 (* y y)))))) |
| 2.0ms | x | @ | 0 | ((+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x)) (* x x) (+ (+ (+ (* 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)) (sqrt (pow y 4))) (* y y)) (+ (+ (* x x) (* y y)) (sqrt (pow y 4))) (+ (* x x) (* y y)) (sqrt (pow y 4)) (* (+ (* y y) (* 2 (* y y))) (+ (* y y) (* 2 (* y y)))) (+ (* y y) (* 2 (* y y))) (- (pow x 4) (* (+ (* y y) (* 2 (* y y))) (+ (* y y) (* 2 (* y y))))) (- (* x x) (+ (* y y) (* 2 (* y y)))) (/ (- (pow x 4) (* (+ (* y y) (* 2 (* y y))) (+ (* y y) (* 2 (* y y))))) (- (* x x) (+ (* y y) (* 2 (* y y)))))) |
| 2.0ms | x | @ | inf | ((+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x)) (* x x) (+ (+ (+ (* 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)) (sqrt (pow y 4))) (* y y)) (+ (+ (* x x) (* y y)) (sqrt (pow y 4))) (+ (* x x) (* y y)) (sqrt (pow y 4)) (* (+ (* y y) (* 2 (* y y))) (+ (* y y) (* 2 (* y y)))) (+ (* y y) (* 2 (* y y))) (- (pow x 4) (* (+ (* y y) (* 2 (* y y))) (+ (* y y) (* 2 (* y y))))) (- (* x x) (+ (* y y) (* 2 (* y y)))) (/ (- (pow x 4) (* (+ (* y y) (* 2 (* y y))) (+ (* y y) (* 2 (* y y))))) (- (* x x) (+ (* y y) (* 2 (* y y)))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 302 |
| 1 | 190 | 290 |
| 2 | 630 | 278 |
| 3 | 4144 | 278 |
| 0 | 8553 | 262 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* 2 (pow y 2)) (pow y 2)) |
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2))) |
(pow y 2) |
(+ (pow x 2) (pow y 2)) |
(pow x 2) |
(* 3 (pow y 2)) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(* 2 (pow y 2)) |
(+ (* 2 (pow y 2)) (pow x 2)) |
(* -1 (pow (+ (* 2 (pow y 2)) (pow y 2)) 2)) |
(- (pow x 4) (pow (+ (* 2 (pow y 2)) (pow y 2)) 2)) |
(* -1 (+ (* 2 (pow y 2)) (pow y 2))) |
(- (pow x 2) (+ (* 2 (pow y 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 (/ (pow y 2) (pow x 2)))) |
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2))))) |
(pow x 4) |
(* (pow x 4) (+ 1 (* -1 (/ (pow (+ (* 2 (pow y 2)) (pow y 2)) 2) (pow x 4))))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* 2 (pow y 2)) (pow y 2)) (pow x 2))))) |
(* 2 y) |
(* 3 y) |
(* 9 (pow y 4)) |
(+ (* -9 (pow y 4)) (pow x 4)) |
(+ (* -3 (pow y 2)) (pow x 2)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2)))) |
(* -9 (pow y 4)) |
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 9)) |
(* -3 (pow y 2)) |
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 3)) |
| 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)) |
(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) |
(* 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)) |
(* 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)) |
(* -1 (pow (+ (* 2 (pow y 2)) (pow y 2)) 2)) |
(*.f64 #s(literal -9 binary64) (pow.f64 y #s(literal 4 binary64))) |
(- (pow x 4) (pow (+ (* 2 (pow y 2)) (pow y 2)) 2)) |
(fma.f64 #s(literal -9 binary64) (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* -1 (+ (* 2 (pow y 2)) (pow y 2))) |
(*.f64 #s(literal -3 binary64) (*.f64 y y)) |
(- (pow x 2) (+ (* 2 (pow y 2)) (pow y 2))) |
(fma.f64 (*.f64 #s(literal -3 binary64) y) y (*.f64 x x)) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x)) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(*.f64 (fma.f64 (/.f64 (/.f64 y x) x) y #s(literal 1 binary64)) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(* (pow x 4) (+ 1 (* -1 (/ (pow (+ (* 2 (pow y 2)) (pow y 2)) 2) (pow x 4))))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal 9 binary64) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* 2 (pow y 2)) (pow y 2)) (pow x 2))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x)) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* 9 (pow y 4)) |
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 9 binary64)) |
(+ (* -9 (pow y 4)) (pow x 4)) |
(fma.f64 #s(literal -9 binary64) (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(+ (* -3 (pow y 2)) (pow x 2)) |
(fma.f64 (*.f64 #s(literal -3 binary64) y) y (*.f64 x x)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(*.f64 (fma.f64 (/.f64 (/.f64 x y) y) x #s(literal 3 binary64)) (*.f64 y y)) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(*.f64 (fma.f64 (/.f64 (/.f64 x y) y) x #s(literal 1 binary64)) (*.f64 y y)) |
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2)))) |
(*.f64 (fma.f64 (/.f64 (/.f64 x y) y) x #s(literal 2 binary64)) (*.f64 y y)) |
(* -9 (pow y 4)) |
(*.f64 #s(literal -9 binary64) (pow.f64 y #s(literal 4 binary64))) |
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 9)) |
(*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))) |
(* -3 (pow y 2)) |
(*.f64 #s(literal -3 binary64) (*.f64 y y)) |
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 3)) |
(*.f64 (-.f64 (*.f64 (/.f64 (/.f64 x y) y) x) #s(literal 3 binary64)) (*.f64 y y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 218 |
| 0 | 54 | 136 |
| 1 | 267 | 130 |
| 2 | 2307 | 130 |
| 0 | 8617 | 128 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x))) |
(+.f64 y y) |
(fma.f64 y y (*.f64 x x)) |
(*.f64 x x) |
#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 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (sqrt.f64 (pow.f64 y #s(literal 4 binary64)))) (*.f64 y y)) |
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (sqrt.f64 (pow.f64 y #s(literal 4 binary64)))) |
(+.f64 (*.f64 x x) (*.f64 y y)) |
(sqrt.f64 (pow.f64 y #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)))) |
(fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y))) |
(-.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 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))))) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal -27 binary64) (pow.f64 y #s(literal 6 binary64))))) (+.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))))) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))) |
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(fma.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) y)) |
(fma.f64 #s(literal 8 binary64) (*.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal 27 binary64)) (*.f64 #s(literal 2 binary64) y)) |
(fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) y)) |
(fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64)) (*.f64 #s(literal 2 binary64) y)) |
(fma.f64 #s(literal 8 binary64) (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 2 binary64) y)) |
(fma.f64 #s(literal 27 binary64) (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 2 binary64) y)) |
(fma.f64 (*.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 2 binary64) y)) |
(fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) y)) |
(fma.f64 (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 y) y) (pow.f64 y #s(literal 4 binary64))) |
(fma.f64 (*.f64 #s(literal -27 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 2 binary64) y)) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) y)) |
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(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (*.f64 #s(literal 2 binary64) y)) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64) (*.f64 #s(literal 2 binary64) y)) |
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(fma.f64 (pow.f64 y #s(literal 3 binary64)) y (pow.f64 y #s(literal 4 binary64))) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 2 binary64) y)) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) y)) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) y)) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 3 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 3 binary64))) |
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(fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (*.f64 #s(literal 2 binary64) y)) |
(fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 8 binary64) (*.f64 #s(literal 2 binary64) y)) |
(fma.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 2 binary64) y)) |
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) y)) |
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(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) (*.f64 #s(literal 2 binary64) y)) (*.f64 #s(literal 2 binary64) y)) |
(fma.f64 (neg.f64 y) (+.f64 (neg.f64 y) (neg.f64 y)) (*.f64 #s(literal 2 binary64) y)) |
(fma.f64 (neg.f64 y) (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 4 binary64))) |
(fma.f64 (neg.f64 y) (neg.f64 y) (*.f64 y y)) |
(fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) y) (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 2 binary64) y)) |
(fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) y) (*.f64 y y) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 3 binary64))) |
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(fma.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 y (*.f64 (*.f64 #s(literal 3 binary64) y) y)) (*.f64 #s(literal 2 binary64) y)) |
(fma.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 y #s(literal 3/2 binary64)) (*.f64 #s(literal 2 binary64) y)) |
(fma.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 y #s(literal 9 binary64)) (*.f64 #s(literal 2 binary64) y)) |
(fma.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 8 binary64) (*.f64 #s(literal 2 binary64) y)) |
(fma.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 27 binary64) (*.f64 #s(literal 2 binary64) y)) |
(fma.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) y)) |
(fma.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal -27 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 2 binary64) y)) |
(fma.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 y #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) y)) |
(fma.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) y)) |
(fma.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 y #s(literal 6 binary64)) (*.f64 #s(literal 2 binary64) y)) |
(fma.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 (*.f64 #s(literal 3 binary64) y) y) (*.f64 #s(literal 2 binary64) y)) |
(fma.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 2 binary64) y)) |
(fma.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) y)) |
(fma.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 3 binary64) y) (*.f64 #s(literal 2 binary64) y)) |
(fma.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 y y) (*.f64 #s(literal 2 binary64) y)) |
(fma.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) y)) |
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (*.f64 #s(literal 2 binary64) y)) |
(fma.f64 #s(literal 2 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) y)) |
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 2 binary64) y)) |
(fma.f64 #s(literal 2 binary64) (*.f64 y y) (*.f64 #s(literal 2 binary64) y)) |
(fma.f64 #s(literal 2 binary64) y (*.f64 #s(literal 2 binary64) y)) |
(fma.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) y)) |
(fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 #s(literal 2 binary64) y)) |
(fma.f64 (*.f64 #s(literal 3 binary64) y) (pow.f64 y #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 3 binary64))) |
(fma.f64 (*.f64 #s(literal 3 binary64) y) (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 2 binary64) y)) |
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(fma.f64 (*.f64 y y) (pow.f64 (+.f64 (neg.f64 y) (neg.f64 y)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) y)) |
(fma.f64 (*.f64 y y) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) (*.f64 #s(literal 2 binary64) y)) |
(fma.f64 (*.f64 y y) (*.f64 (*.f64 #s(literal 3 binary64) y) y) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 3 binary64))) |
(fma.f64 (*.f64 y y) (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 2 binary64) y)) |
(fma.f64 (*.f64 y y) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) y)) |
(fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) y)) |
(fma.f64 (*.f64 y y) (*.f64 y y) (pow.f64 y #s(literal 4 binary64))) |
(fma.f64 #s(literal 3 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 3 binary64))) |
(fma.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 2 binary64) y)) |
(fma.f64 y (fabs.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) y)) |
(fma.f64 y (fabs.f64 (*.f64 (neg.f64 y) (*.f64 #s(literal 2 binary64) y))) (*.f64 #s(literal 2 binary64) y)) |
(fma.f64 y (fabs.f64 (+.f64 (neg.f64 y) (neg.f64 y))) (*.f64 #s(literal 2 binary64) y)) |
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(fma.f64 y (*.f64 (*.f64 #s(literal 3 binary64) y) (*.f64 y y)) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 3 binary64))) |
(fma.f64 y (*.f64 y (*.f64 (*.f64 #s(literal 3 binary64) y) y)) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 3 binary64))) |
(fma.f64 y (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 4 binary64))) |
(fma.f64 y (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 2 binary64) y)) |
(fma.f64 y #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) y)) |
(fma.f64 y y (*.f64 y y)) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) y)) |
(-.f64 (/.f64 (*.f64 y y) #s(literal 0 binary64)) (/.f64 (*.f64 y y) #s(literal 0 binary64))) |
(-.f64 (*.f64 y y) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y))) |
(-.f64 (*.f64 y y) (*.f64 (neg.f64 y) y)) |
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(fabs.f64 (neg.f64 (*.f64 #s(literal 2 binary64) y))) |
(fabs.f64 (*.f64 #s(literal 2 binary64) y)) |
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(hypot.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 y))) |
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 y)) |
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 y))) y) |
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(hypot.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) y))) (*.f64 #s(literal 2 binary64) y)) |
(hypot.f64 (sqrt.f64 (neg.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 (neg.f64 y)))) |
(hypot.f64 (sqrt.f64 (neg.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 y))) |
(hypot.f64 (sqrt.f64 (neg.f64 (neg.f64 y))) (sqrt.f64 y)) |
(hypot.f64 (sqrt.f64 (neg.f64 (neg.f64 y))) (pow.f64 (neg.f64 (neg.f64 y)) #s(literal 1/2 binary64))) |
(hypot.f64 (sqrt.f64 (neg.f64 (neg.f64 y))) (pow.f64 (neg.f64 y) #s(literal 1/2 binary64))) |
(hypot.f64 (sqrt.f64 (neg.f64 (neg.f64 y))) (pow.f64 y #s(literal 1/2 binary64))) |
(hypot.f64 (sqrt.f64 (neg.f64 (neg.f64 y))) (pow.f64 (*.f64 (neg.f64 y) y) #s(literal 1/4 binary64))) |
(hypot.f64 (sqrt.f64 (neg.f64 (neg.f64 y))) (pow.f64 (*.f64 y y) #s(literal 1/4 binary64))) |
(hypot.f64 (sqrt.f64 (*.f64 (neg.f64 y) y)) (neg.f64 (neg.f64 (neg.f64 y)))) |
(hypot.f64 (sqrt.f64 (*.f64 (neg.f64 y) y)) (sqrt.f64 (*.f64 (neg.f64 y) y))) |
(hypot.f64 (sqrt.f64 (*.f64 (neg.f64 y) y)) (pow.f64 (*.f64 (neg.f64 y) y) #s(literal 1/2 binary64))) |
(hypot.f64 (sqrt.f64 (*.f64 (neg.f64 y) y)) (neg.f64 (neg.f64 y))) |
(hypot.f64 (sqrt.f64 (*.f64 (neg.f64 y) y)) (neg.f64 y)) |
(hypot.f64 (sqrt.f64 (*.f64 (neg.f64 y) y)) y) |
(hypot.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 (neg.f64 y)))) |
(hypot.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y))) |
(hypot.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 y)) |
(hypot.f64 (sqrt.f64 (neg.f64 y)) (pow.f64 (neg.f64 (neg.f64 y)) #s(literal 1/2 binary64))) |
(hypot.f64 (sqrt.f64 (neg.f64 y)) (pow.f64 (neg.f64 y) #s(literal 1/2 binary64))) |
(hypot.f64 (sqrt.f64 (neg.f64 y)) (pow.f64 y #s(literal 1/2 binary64))) |
(hypot.f64 (sqrt.f64 (neg.f64 y)) (pow.f64 (*.f64 (neg.f64 y) y) #s(literal 1/4 binary64))) |
(hypot.f64 (sqrt.f64 (neg.f64 y)) (pow.f64 (*.f64 y y) #s(literal 1/4 binary64))) |
(hypot.f64 (sqrt.f64 y) (sqrt.f64 (neg.f64 (neg.f64 y)))) |
(hypot.f64 (sqrt.f64 y) (sqrt.f64 (neg.f64 y))) |
(hypot.f64 (sqrt.f64 y) (sqrt.f64 y)) |
(hypot.f64 (sqrt.f64 y) (pow.f64 (neg.f64 (neg.f64 y)) #s(literal 1/2 binary64))) |
(hypot.f64 (sqrt.f64 y) (pow.f64 (neg.f64 y) #s(literal 1/2 binary64))) |
(hypot.f64 (sqrt.f64 y) (pow.f64 y #s(literal 1/2 binary64))) |
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(fma.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal 8 binary64) (fma.f64 x x (*.f64 y y))) |
(fma.f64 (pow.f64 y #s(literal 9 binary64)) (*.f64 #s(literal 2 binary64) y) (fma.f64 x x (*.f64 y y))) |
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) |
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)) (fma.f64 #s(literal 2 binary64) y (*.f64 x x))) |
(fma.f64 (neg.f64 (*.f64 #s(literal 2 binary64) y)) (neg.f64 (*.f64 #s(literal 2 binary64) y)) (fma.f64 x x (*.f64 y y))) |
(fma.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 4 binary64) (fma.f64 x x (*.f64 y y))) |
(fma.f64 #s(literal 8 binary64) (*.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal 27 binary64)) (fma.f64 x x (*.f64 y y))) |
(fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) (fma.f64 x x (*.f64 y y))) |
(fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64)) (fma.f64 x x (*.f64 y y))) |
(fma.f64 #s(literal 8 binary64) (*.f64 #s(literal 2 binary64) y) (fma.f64 x x (*.f64 y y))) |
(fma.f64 #s(literal 27 binary64) (*.f64 #s(literal 2 binary64) y) (fma.f64 x x (*.f64 y y))) |
(fma.f64 (*.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) y) (fma.f64 x x (*.f64 y y))) |
(fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 2 binary64) (fma.f64 x x (*.f64 y y))) |
(fma.f64 (*.f64 #s(literal -27 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 2 binary64) y) (fma.f64 x x (*.f64 y y))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 x x (*.f64 y y))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) (*.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)) (fma.f64 x x (*.f64 y y))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 (neg.f64 y) (neg.f64 y)) #s(literal 3 binary64)) (fma.f64 x x (*.f64 y y))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (fma.f64 x x (*.f64 y y))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64) (fma.f64 x x (*.f64 y y))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) y) (fma.f64 x x (*.f64 y y))) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) y) (fma.f64 x x (*.f64 y y))) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 2 binary64) (fma.f64 x x (*.f64 y y))) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 x x (*.f64 y y))) |
(fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) #s(literal 3 binary64)) (fma.f64 x x (*.f64 y y))) |
(fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (fma.f64 x x (*.f64 y y))) |
(fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 8 binary64) (fma.f64 x x (*.f64 y y))) |
(fma.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 #s(literal 2 binary64) y) (fma.f64 x x (*.f64 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 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal 2 binary64)) (fma.f64 x x (*.f64 y y))) |
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) (*.f64 #s(literal 2 binary64) y)) (fma.f64 x x (*.f64 y y))) |
(fma.f64 (neg.f64 y) (+.f64 (neg.f64 y) (neg.f64 y)) (fma.f64 x x (*.f64 y y))) |
(fma.f64 (neg.f64 y) (neg.f64 y) (fma.f64 #s(literal 2 binary64) y (*.f64 x x))) |
(fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) y) (*.f64 #s(literal 2 binary64) y) (fma.f64 x x (*.f64 y y))) |
(fma.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 (*.f64 y (*.f64 (*.f64 #s(literal 3 binary64) y) y)) #s(literal 3 binary64)) (fma.f64 x x (*.f64 y y))) |
(fma.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 y (*.f64 (*.f64 #s(literal 3 binary64) y) y)) (fma.f64 x x (*.f64 y y))) |
(fma.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 y #s(literal 3/2 binary64)) (fma.f64 x x (*.f64 y y))) |
(fma.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 y #s(literal 9 binary64)) (fma.f64 x x (*.f64 y y))) |
(fma.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 8 binary64) (fma.f64 x x (*.f64 y y))) |
(fma.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 27 binary64) (fma.f64 x x (*.f64 y y))) |
(fma.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x x (*.f64 y y))) |
(fma.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal -27 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 x x (*.f64 y y))) |
(fma.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 y #s(literal 3 binary64)) (fma.f64 x x (*.f64 y y))) |
(fma.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 y #s(literal 4 binary64)) (fma.f64 x x (*.f64 y y))) |
(fma.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 y #s(literal 6 binary64)) (fma.f64 x x (*.f64 y y))) |
(fma.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 (*.f64 #s(literal 3 binary64) y) y) (fma.f64 x x (*.f64 y y))) |
(fma.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 2 binary64) y) (fma.f64 x x (*.f64 y y))) |
(fma.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64) (fma.f64 x x (*.f64 y y))) |
(fma.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 3 binary64) y) (fma.f64 x x (*.f64 y y))) |
(fma.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 y y) (fma.f64 x x (*.f64 y y))) |
(fma.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64) (fma.f64 x x (*.f64 y y))) |
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (fma.f64 x x (*.f64 y y))) |
(fma.f64 #s(literal 2 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 x x (*.f64 y y))) |
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) y) (fma.f64 x x (*.f64 y y))) |
(fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 x x (*.f64 y y))) |
(fma.f64 #s(literal 2 binary64) y (fma.f64 x x (*.f64 y y))) |
(fma.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 x x (*.f64 y y))) |
(fma.f64 #s(literal 4 binary64) (*.f64 y y) (fma.f64 x x (*.f64 y y))) |
(fma.f64 (*.f64 #s(literal 3 binary64) y) (*.f64 #s(literal 2 binary64) y) (fma.f64 x x (*.f64 y y))) |
(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 (*.f64 y y) (pow.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 x x (*.f64 y y))) |
(fma.f64 (*.f64 y y) (pow.f64 (+.f64 (neg.f64 y) (neg.f64 y)) #s(literal 2 binary64)) (fma.f64 x x (*.f64 y y))) |
(fma.f64 (*.f64 y y) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) (fma.f64 x x (*.f64 y y))) |
(fma.f64 (*.f64 y y) (*.f64 #s(literal 2 binary64) y) (fma.f64 x x (*.f64 y y))) |
(fma.f64 (*.f64 y y) #s(literal 2 binary64) (fma.f64 x x (*.f64 y y))) |
(fma.f64 (*.f64 y y) #s(literal 4 binary64) (fma.f64 x x (*.f64 y y))) |
(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 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) y) (fma.f64 x x (*.f64 y y))) |
(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 x x) (/.f64 (*.f64 x x) (fma.f64 x x (*.f64 #s(literal -3 binary64) (*.f64 y y)))) (/.f64 (neg.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 x x (*.f64 #s(literal -3 binary64) (*.f64 y y))))) |
(fma.f64 x x (*.f64 (*.f64 #s(literal 3 binary64) y) y)) |
(fma.f64 y (fabs.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64))) (fma.f64 x x (*.f64 y y))) |
(fma.f64 y (fabs.f64 (*.f64 (neg.f64 y) (*.f64 #s(literal 2 binary64) y))) (fma.f64 x x (*.f64 y y))) |
(fma.f64 y (fabs.f64 (+.f64 (neg.f64 y) (neg.f64 y))) (fma.f64 x x (*.f64 y y))) |
(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 (fma.f64 #s(literal 2 binary64) y y)) (*.f64 (neg.f64 (neg.f64 x)) x)) |
(fma.f64 y (fabs.f64 (fma.f64 #s(literal 2 binary64) y y)) (*.f64 x x)) |
(fma.f64 y (fabs.f64 (+.f64 y (*.f64 #s(literal 2 binary64) y))) (*.f64 (neg.f64 (neg.f64 x)) x)) |
(fma.f64 y (fabs.f64 (+.f64 y (*.f64 #s(literal 2 binary64) y))) (*.f64 x x)) |
(fma.f64 y (sqrt.f64 (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 3 binary64) y) y))) (*.f64 (neg.f64 (neg.f64 x)) x)) |
(fma.f64 y (sqrt.f64 (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 3 binary64) y) y))) (*.f64 x x)) |
(fma.f64 y (pow.f64 (*.f64 (neg.f64 y) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 x)) x)) |
(fma.f64 y (pow.f64 (*.f64 (neg.f64 y) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 x x)) |
(fma.f64 y (pow.f64 (fma.f64 #s(literal 2 binary64) y y) #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 x)) x)) |
(fma.f64 y (pow.f64 (fma.f64 #s(literal 2 binary64) y y) #s(literal 1 binary64)) (*.f64 x x)) |
(fma.f64 y (pow.f64 (+.f64 y (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 x)) x)) |
(fma.f64 y (pow.f64 (+.f64 y (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)) (*.f64 x x)) |
(fma.f64 y (pow.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 x)) x)) |
(fma.f64 y (pow.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 1 binary64)) (*.f64 x x)) |
(fma.f64 y (fma.f64 #s(literal 2 binary64) y y) (*.f64 (neg.f64 (neg.f64 x)) x)) |
(fma.f64 y (fma.f64 #s(literal 2 binary64) y y) (*.f64 x x)) |
(fma.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) y)) (*.f64 (neg.f64 (neg.f64 x)) x)) |
(fma.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) y)) (*.f64 x x)) |
(fma.f64 y (*.f64 #s(literal 2 binary64) y) (fma.f64 x x (*.f64 y y))) |
(fma.f64 y #s(literal 2 binary64) (fma.f64 x x (*.f64 y y))) |
(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 y y (fma.f64 #s(literal 2 binary64) y (*.f64 x x))) |
(-.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (-.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 x x))) (/.f64 (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 2 binary64)) (-.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 x x)))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 x x)) #s(literal 2 binary64)) (fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 x x (fma.f64 y y #s(literal 0 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 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 (neg.f64 x) x)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (*.f64 #s(literal -3 binary64) (*.f64 y y)))) (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 x x (*.f64 #s(literal -3 binary64) (*.f64 y y))))) |
(-.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 (fma.f64 #s(literal 2 binary64) y (*.f64 x x)) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y))) |
(-.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 x x)) (*.f64 (neg.f64 y) y)) |
(-.f64 (fma.f64 x x (*.f64 y y)) (fma.f64 (neg.f64 y) y (*.f64 (neg.f64 y) y))) |
(-.f64 (fma.f64 x x (*.f64 y y)) (-.f64 (*.f64 (neg.f64 y) y) (*.f64 y y))) |
(-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (*.f64 (neg.f64 y) y) #s(literal 2 binary64))) |
(-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) y)) y)) |
(-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (neg.f64 y) (*.f64 #s(literal 2 binary64) y))) |
(-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 #s(literal -2 binary64) (*.f64 y y))) |
(-.f64 (*.f64 y y) (fma.f64 #s(literal -2 binary64) (*.f64 y y) (*.f64 (neg.f64 x) x))) |
(-.f64 (*.f64 y y) (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 y y)) (*.f64 x x))) |
(-.f64 (*.f64 y y) (-.f64 (*.f64 (neg.f64 x) x) (*.f64 #s(literal 2 binary64) y))) |
(-.f64 (*.f64 x x) (-.f64 (*.f64 (neg.f64 y) y) (*.f64 #s(literal 2 binary64) y))) |
(-.f64 (*.f64 x x) (*.f64 #s(literal -3 binary64) (*.f64 y y))) |
(+.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 #s(literal 2 binary64) y (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 #s(literal 2 binary64) y))))) (/.f64 (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 3 binary64)) (fma.f64 #s(literal 2 binary64) y (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 #s(literal 2 binary64) y)))))) |
(+.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 x x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) (-.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y (*.f64 x x))) (pow.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 x x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 y y) (-.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y (*.f64 x x))) (pow.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 x x)) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (*.f64 #s(literal -27 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (*.f64 #s(literal -3 binary64) (*.f64 y y)))) (/.f64 (neg.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 x x (*.f64 #s(literal -3 binary64) (*.f64 y y))))) |
(+.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 #s(literal 2 binary64) y) (fma.f64 x x (*.f64 y y))) |
(+.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 x x)) (*.f64 (neg.f64 (neg.f64 y)) y)) |
(+.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 x x)) (*.f64 y y)) |
(+.f64 (fma.f64 x x (*.f64 y y)) (*.f64 #s(literal 2 binary64) y)) |
(+.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y (*.f64 x x))) |
(+.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) |
Compiled 48 935 to 4 753 computations (90.3% saved)
7 alts after pruning (5 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 814 | 5 | 1 819 |
| Fresh | 0 | 0 | 0 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 817 | 7 | 1 824 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 55.0% | (fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y))) |
| ▶ | 24.7% | (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) (fma.f64 x x (*.f64 #s(literal -3 binary64) (*.f64 y y)))) (-.f64 (*.f64 x x) (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y))))) |
| ✓ | 99.9% | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))) |
| ▶ | 30.8% | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y y (*.f64 #s(literal 2 binary64) y))) |
| ▶ | 55.0% | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) |
| ✓ | 55.0% | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y))) |
| ▶ | 83.4% | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* (* 3 y) y) (* x x)) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x)))) |
Compiled 303 to 157 computations (48.2% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 1 | (-.f64 (*.f64 x x) (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y)))) | |
| cost-diff | 3 | (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y))) | |
| cost-diff | 3 | (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) (fma.f64 x x (*.f64 #s(literal -3 binary64) (*.f64 y y)))) | |
| cost-diff | 15 | (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) (fma.f64 x x (*.f64 #s(literal -3 binary64) (*.f64 y y)))) (-.f64 (*.f64 x x) (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y))))) | |
| 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 #s(literal 2 binary64) y) | |
| cost-diff | 0 | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y y (*.f64 #s(literal 2 binary64) y))) | |
| cost-diff | 1 | (fma.f64 y y (*.f64 #s(literal 2 binary64) y)) | |
| 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)) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (+ (* (* 3 y) y) (* x x)) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x))) | |
| cost-diff | 0 | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* (* 3 y) y) (* x x)) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 306 |
| 0 | 66 | 269 |
| 1 | 145 | 254 |
| 2 | 488 | 254 |
| 3 | 2286 | 252 |
| 0 | 8504 | 249 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* (* 3 y) y) (* x x)) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x)))) |
#s(approx (+ (* (* 3 y) y) (* x x)) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x))) |
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x)) |
(fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) |
(*.f64 #s(literal 3 binary64) (/.f64 y x)) |
#s(literal 3 binary64) |
(/.f64 y x) |
y |
x |
#s(literal 1 binary64) |
(*.f64 x x) |
#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 y y (*.f64 #s(literal 2 binary64) y))) |
(fma.f64 y y (*.f64 #s(literal 2 binary64) y)) |
y |
(*.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
(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) |
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) (fma.f64 x x (*.f64 #s(literal -3 binary64) (*.f64 y y)))) (-.f64 (*.f64 x x) (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) (fma.f64 x x (*.f64 #s(literal -3 binary64) (*.f64 y y)))) |
(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 x x (*.f64 #s(literal -3 binary64) (*.f64 y y))) |
(*.f64 #s(literal -3 binary64) (*.f64 y y)) |
#s(literal -3 binary64) |
(*.f64 y y) |
(-.f64 (*.f64 x x) (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 #s(literal 2 binary64) (*.f64 y y)) |
#s(literal 2 binary64) |
| Outputs |
|---|
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* (* 3 y) y) (* x x)) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x)))) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 y x) #s(literal 3 binary64)) (/.f64 y x) #s(literal 1 binary64)) x) x))) |
#s(approx (+ (* (* 3 y) y) (* x x)) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 y x) #s(literal 3 binary64)) (/.f64 y x) #s(literal 1 binary64)) x) x)) |
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 y x) #s(literal 3 binary64)) (/.f64 y x) #s(literal 1 binary64)) x) x) |
(fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (/.f64 y x) #s(literal 3 binary64)) (/.f64 y x) #s(literal 1 binary64)) |
(*.f64 #s(literal 3 binary64) (/.f64 y x)) |
(*.f64 (/.f64 y x) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(/.f64 y x) |
y |
x |
#s(literal 1 binary64) |
(*.f64 x x) |
#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 y y (*.f64 #s(literal 2 binary64) y))) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (-.f64 y #s(literal -2 binary64)) y)) |
(fma.f64 y y (*.f64 #s(literal 2 binary64) y)) |
(*.f64 (-.f64 y #s(literal -2 binary64)) y) |
y |
(*.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y))) |
(fma.f64 (*.f64 #s(literal 2 binary64) 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) |
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) (fma.f64 x x (*.f64 #s(literal -3 binary64) (*.f64 y y)))) (-.f64 (*.f64 x x) (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y))))) |
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) |
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) (fma.f64 x x (*.f64 #s(literal -3 binary64) (*.f64 y y)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) x (*.f64 #s(literal -9 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) |
(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 x x (*.f64 #s(literal -3 binary64) (*.f64 y y))) |
(fma.f64 #s(literal -3 binary64) (*.f64 y y) (*.f64 x x)) |
(*.f64 #s(literal -3 binary64) (*.f64 y y)) |
#s(literal -3 binary64) |
(*.f64 y y) |
(-.f64 (*.f64 x x) (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y)))) |
(fma.f64 #s(literal -3 binary64) (*.f64 y y) (*.f64 x x)) |
(fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y))) |
(*.f64 (*.f64 #s(literal 3 binary64) y) y) |
(*.f64 #s(literal 2 binary64) (*.f64 y y)) |
(*.f64 (*.f64 #s(literal 2 binary64) y) y) |
#s(literal 2 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.140625 | (*.f64 #s(literal -3 binary64) (*.f64 y y)) | |
| accuracy | 1.999977980844482 | (fma.f64 x x (*.f64 #s(literal -3 binary64) (*.f64 y y))) | |
| accuracy | 3.343735550811441 | (-.f64 (*.f64 x x) (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y)))) | |
| accuracy | 41.843381758335326 | (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) (fma.f64 x x (*.f64 #s(literal -3 binary64) (*.f64 y y)))) (-.f64 (*.f64 x x) (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y))))) | |
| accuracy | 0.0 | (+.f64 y y) | |
| accuracy | 0.0 | (*.f64 y y) | |
| accuracy | 0.03125 | (fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y))) | |
| accuracy | 28.77503953435492 | #s(approx (+ (* y y) (* x x)) (*.f64 y y)) | |
| accuracy | 0.0 | (fma.f64 y y (*.f64 #s(literal 2 binary64) y)) | |
| accuracy | 0.0 | (*.f64 #s(literal 2 binary64) y) | |
| accuracy | 44.297149498519396 | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y y (*.f64 #s(literal 2 binary64) y))) | |
| accuracy | 0.0 | (*.f64 #s(literal 3 binary64) y) | |
| accuracy | 0.109375 | (*.f64 (*.f64 #s(literal 3 binary64) y) y) | |
| accuracy | 28.764187465140537 | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) | |
| accuracy | 0.0 | #s(approx (+ (* (* 3 y) y) (* x x)) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x))) | |
| accuracy | 0.1015625 | (fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) | |
| accuracy | 0.22265625 | (*.f64 #s(literal 3 binary64) (/.f64 y x)) | |
| accuracy | 9.658876480137291 | (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x)) |
| 68.0ms | 256× | 0 | valid |
Compiled 262 to 34 computations (87% saved)
ival-add: 31.0ms (58.8% of total)ival-mult: 17.0ms (32.2% of total)ival-div: 3.0ms (5.7% of total)ival-sub: 1.0ms (1.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* (* 3 y) y) (* x x)) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x)))) |
#s(approx (+ (* (* 3 y) y) (* x x)) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x))) |
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x)) |
(fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) |
#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) |
(fma.f64 y y (*.f64 #s(literal 2 binary64) y)) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y y (*.f64 #s(literal 2 binary64) y))) |
(*.f64 #s(literal 2 binary64) y) |
(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)) |
(*.f64 y y) |
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) (fma.f64 x x (*.f64 #s(literal -3 binary64) (*.f64 y y)))) (-.f64 (*.f64 x x) (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) (fma.f64 x x (*.f64 #s(literal -3 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 #s(literal 3 binary64) (/.f64 y x)) |
(fma.f64 x x (*.f64 #s(literal -3 binary64) (*.f64 y y))) |
(*.f64 #s(literal -3 binary64) (*.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)) |
(* 3 (/ (pow y 2) (pow x 2))) |
(/ (+ (* 3 (pow y 2)) (pow x 2)) (pow x 2)) |
(pow y 2) |
(+ (pow x 2) (pow y 2)) |
(* 9 (/ (pow y 4) (+ (* 2 (pow y 2)) (pow y 2)))) |
(+ (* 9 (/ (pow y 4) (+ (* 2 (pow y 2)) (pow y 2)))) (* (pow x 2) (- (* -1 (/ (+ (* -3 (pow y 2)) (* 3 (pow y 2))) (+ (* 2 (pow y 2)) (pow y 2)))) (* -9 (/ (pow y 4) (pow (+ (* 2 (pow y 2)) (pow y 2)) 2)))))) |
(+ (* 9 (/ (pow y 4) (+ (* 2 (pow y 2)) (pow y 2)))) (* (pow x 2) (- (+ (* -1 (* (pow x 2) (+ (* -1 (/ (- (* -1 (/ (+ (* -3 (pow y 2)) (* 3 (pow y 2))) (+ (* 2 (pow y 2)) (pow y 2)))) (* -9 (/ (pow y 4) (pow (+ (* 2 (pow y 2)) (pow y 2)) 2)))) (+ (* 2 (pow y 2)) (pow y 2)))) (/ 1 (+ (* 2 (pow y 2)) (pow y 2)))))) (* -1 (/ (+ (* -3 (pow y 2)) (* 3 (pow y 2))) (+ (* 2 (pow y 2)) (pow y 2))))) (* -9 (/ (pow y 4) (pow (+ (* 2 (pow y 2)) (pow y 2)) 2)))))) |
(+ (* 9 (/ (pow y 4) (+ (* 2 (pow y 2)) (pow y 2)))) (* (pow x 2) (- (+ (* -1 (/ (+ (* -3 (pow y 2)) (* 3 (pow y 2))) (+ (* 2 (pow y 2)) (pow y 2)))) (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1 (/ (- (* -1 (/ (+ (* -3 (pow y 2)) (* 3 (pow y 2))) (+ (* 2 (pow y 2)) (pow y 2)))) (* -9 (/ (pow y 4) (pow (+ (* 2 (pow y 2)) (pow y 2)) 2)))) (pow (+ (* 2 (pow y 2)) (pow y 2)) 2))) (/ 1 (pow (+ (* 2 (pow y 2)) (pow y 2)) 2))))) (+ (* -1 (/ (- (* -1 (/ (+ (* -3 (pow y 2)) (* 3 (pow y 2))) (+ (* 2 (pow y 2)) (pow y 2)))) (* -9 (/ (pow y 4) (pow (+ (* 2 (pow y 2)) (pow y 2)) 2)))) (+ (* 2 (pow y 2)) (pow y 2)))) (/ 1 (+ (* 2 (pow y 2)) (pow y 2))))))) (* -9 (/ (pow y 4) (pow (+ (* 2 (pow y 2)) (pow y 2)) 2)))))) |
(* -9 (pow y 4)) |
(+ (* -9 (pow y 4)) (* (pow x 2) (+ (* -3 (pow y 2)) (* 3 (pow y 2))))) |
(+ (* -9 (pow y 4)) (* (pow x 2) (+ (* -3 (pow y 2)) (+ (* 3 (pow y 2)) (pow x 2))))) |
(* -1 (+ (* 2 (pow y 2)) (pow y 2))) |
(- (pow x 2) (+ (* 2 (pow y 2)) (pow y 2))) |
(* 3 (/ y x)) |
(* -3 (pow y 2)) |
(+ (* -3 (pow y 2)) (pow x 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 (* 3 (/ (pow y 2) (pow x 2))))) |
1 |
(+ 1 (* 3 (/ (pow y 2) (pow x 2)))) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(* (pow x 2) (- (+ 1 (+ (* -3 (/ (pow y 2) (pow x 2))) (* 3 (/ (pow y 2) (pow x 2))))) (* -1 (/ (+ (* 2 (pow y 2)) (pow y 2)) (pow x 2))))) |
(* (pow x 2) (- (+ 1 (+ (* -9 (/ (pow y 4) (pow x 4))) (+ (* -3 (/ (pow y 2) (pow x 2))) (* 3 (/ (pow y 2) (pow x 2)))))) (+ (* -1 (/ (* (+ (* 2 (pow y 2)) (pow y 2)) (- (+ (* -3 (pow y 2)) (* 3 (pow y 2))) (* -1 (+ (* 2 (pow y 2)) (pow y 2))))) (pow x 4))) (* -1 (/ (+ (* 2 (pow y 2)) (pow y 2)) (pow x 2)))))) |
(* (pow x 2) (- (+ 1 (+ (* -9 (/ (pow y 4) (pow x 4))) (+ (* -3 (/ (pow y 2) (pow x 2))) (+ (* 3 (/ (pow y 2) (pow x 2))) (/ (* (+ (* 2 (pow y 2)) (pow y 2)) (- (* -9 (pow y 4)) (* -1 (* (+ (* 2 (pow y 2)) (pow y 2)) (- (+ (* -3 (pow y 2)) (* 3 (pow y 2))) (* -1 (+ (* 2 (pow y 2)) (pow y 2)))))))) (pow x 6)))))) (+ (* -1 (/ (* (+ (* 2 (pow y 2)) (pow y 2)) (- (+ (* -3 (pow y 2)) (* 3 (pow y 2))) (* -1 (+ (* 2 (pow y 2)) (pow y 2))))) (pow x 4))) (* -1 (/ (+ (* 2 (pow y 2)) (pow y 2)) (pow x 2)))))) |
(pow x 4) |
(* (pow x 4) (+ 1 (+ (* -3 (/ (pow y 2) (pow x 2))) (* 3 (/ (pow y 2) (pow x 2)))))) |
(* (pow x 4) (+ 1 (+ (* -9 (/ (pow y 4) (pow x 4))) (+ (* -3 (/ (pow y 2) (pow x 2))) (* 3 (/ (pow y 2) (pow x 2))))))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* 2 (pow y 2)) (pow y 2)) (pow x 2))))) |
(* (pow x 2) (+ 1 (* -3 (/ (pow y 2) (pow x 2))))) |
(* 3 y) |
(* 2 y) |
(* y (+ 2 y)) |
(+ (* (pow y 2) (+ (* -3 (pow x 2)) (* 3 (pow x 2)))) (pow x 4)) |
(+ (* (pow y 2) (+ (* -9 (pow y 2)) (+ (* -3 (pow x 2)) (* 3 (pow x 2))))) (pow x 4)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ (* 3 (/ 1 (pow x 2))) (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1 (* 2 (/ 1 y)))) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(* (pow y 4) (- (+ (* -3 (/ (pow x 2) (pow y 2))) (* 3 (/ (pow x 2) (pow y 2)))) 9)) |
(* (pow y 4) (- (+ (* -3 (/ (pow x 2) (pow y 2))) (+ (* 3 (/ (pow x 2) (pow y 2))) (/ (pow x 4) (pow y 4)))) 9)) |
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 3)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 51.0ms | x | @ | inf | ((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* (* 3 y) y) (* x x)) (* (+ (* (* 3 (/ y x)) (/ y x)) 1) (* x x)) (+ (* (* 3 (/ y x)) (/ y x)) 1) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* 3 y) y) (* 3 y) (+ (* y y) (* 2 y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 2 y) (+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x)) (* y y) (/ (* (+ (* (* 3 y) y) (* x x)) (+ (* x x) (* -3 (* y y)))) (- (* x x) (+ (* y y) (* 2 (* y y))))) (* (+ (* (* 3 y) y) (* x x)) (+ (* x x) (* -3 (* y y)))) (+ (* y y) (* 2 (* y y))) (- (* x x) (+ (* y y) (* 2 (* y y)))) (* 3 (/ y x)) (+ (* x x) (* -3 (* y y))) (* -3 (* y y))) |
| 5.0ms | y | @ | -inf | ((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* (* 3 y) y) (* x x)) (* (+ (* (* 3 (/ y x)) (/ y x)) 1) (* x x)) (+ (* (* 3 (/ y x)) (/ y x)) 1) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* 3 y) y) (* 3 y) (+ (* y y) (* 2 y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 2 y) (+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x)) (* y y) (/ (* (+ (* (* 3 y) y) (* x x)) (+ (* x x) (* -3 (* y y)))) (- (* x x) (+ (* y y) (* 2 (* y y))))) (* (+ (* (* 3 y) y) (* x x)) (+ (* x x) (* -3 (* y y)))) (+ (* y y) (* 2 (* y y))) (- (* x x) (+ (* y y) (* 2 (* y y)))) (* 3 (/ y x)) (+ (* x x) (* -3 (* y y))) (* -3 (* y y))) |
| 4.0ms | x | @ | 0 | ((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* (* 3 y) y) (* x x)) (* (+ (* (* 3 (/ y x)) (/ y x)) 1) (* x x)) (+ (* (* 3 (/ y x)) (/ y x)) 1) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* 3 y) y) (* 3 y) (+ (* y y) (* 2 y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 2 y) (+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x)) (* y y) (/ (* (+ (* (* 3 y) y) (* x x)) (+ (* x x) (* -3 (* y y)))) (- (* x x) (+ (* y y) (* 2 (* y y))))) (* (+ (* (* 3 y) y) (* x x)) (+ (* x x) (* -3 (* y y)))) (+ (* y y) (* 2 (* y y))) (- (* x x) (+ (* y y) (* 2 (* y y)))) (* 3 (/ y x)) (+ (* x x) (* -3 (* y y))) (* -3 (* y y))) |
| 3.0ms | y | @ | inf | ((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* (* 3 y) y) (* x x)) (* (+ (* (* 3 (/ y x)) (/ y x)) 1) (* x x)) (+ (* (* 3 (/ y x)) (/ y x)) 1) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* 3 y) y) (* 3 y) (+ (* y y) (* 2 y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 2 y) (+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x)) (* y y) (/ (* (+ (* (* 3 y) y) (* x x)) (+ (* x x) (* -3 (* y y)))) (- (* x x) (+ (* y y) (* 2 (* y y))))) (* (+ (* (* 3 y) y) (* x x)) (+ (* x x) (* -3 (* y y)))) (+ (* y y) (* 2 (* y y))) (- (* x x) (+ (* y y) (* 2 (* y y)))) (* 3 (/ y x)) (+ (* x x) (* -3 (* y y))) (* -3 (* y y))) |
| 3.0ms | y | @ | 0 | ((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* (* 3 y) y) (* x x)) (* (+ (* (* 3 (/ y x)) (/ y x)) 1) (* x x)) (+ (* (* 3 (/ y x)) (/ y x)) 1) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* 3 y) y) (* 3 y) (+ (* y y) (* 2 y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 2 y) (+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x)) (* y y) (/ (* (+ (* (* 3 y) y) (* x x)) (+ (* x x) (* -3 (* y y)))) (- (* x x) (+ (* y y) (* 2 (* y y))))) (* (+ (* (* 3 y) y) (* x x)) (+ (* x x) (* -3 (* y y)))) (+ (* y y) (* 2 (* y y))) (- (* x x) (+ (* y y) (* 2 (* y y)))) (* 3 (/ y x)) (+ (* x x) (* -3 (* y y))) (* -3 (* y y))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 151 | 827 |
| 1 | 509 | 651 |
| 2 | 2464 | 578 |
| 0 | 9332 | 543 |
| 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)) |
(* 3 (/ (pow y 2) (pow x 2))) |
(/ (+ (* 3 (pow y 2)) (pow x 2)) (pow x 2)) |
(pow y 2) |
(+ (pow x 2) (pow y 2)) |
(* 9 (/ (pow y 4) (+ (* 2 (pow y 2)) (pow y 2)))) |
(+ (* 9 (/ (pow y 4) (+ (* 2 (pow y 2)) (pow y 2)))) (* (pow x 2) (- (* -1 (/ (+ (* -3 (pow y 2)) (* 3 (pow y 2))) (+ (* 2 (pow y 2)) (pow y 2)))) (* -9 (/ (pow y 4) (pow (+ (* 2 (pow y 2)) (pow y 2)) 2)))))) |
(+ (* 9 (/ (pow y 4) (+ (* 2 (pow y 2)) (pow y 2)))) (* (pow x 2) (- (+ (* -1 (* (pow x 2) (+ (* -1 (/ (- (* -1 (/ (+ (* -3 (pow y 2)) (* 3 (pow y 2))) (+ (* 2 (pow y 2)) (pow y 2)))) (* -9 (/ (pow y 4) (pow (+ (* 2 (pow y 2)) (pow y 2)) 2)))) (+ (* 2 (pow y 2)) (pow y 2)))) (/ 1 (+ (* 2 (pow y 2)) (pow y 2)))))) (* -1 (/ (+ (* -3 (pow y 2)) (* 3 (pow y 2))) (+ (* 2 (pow y 2)) (pow y 2))))) (* -9 (/ (pow y 4) (pow (+ (* 2 (pow y 2)) (pow y 2)) 2)))))) |
(+ (* 9 (/ (pow y 4) (+ (* 2 (pow y 2)) (pow y 2)))) (* (pow x 2) (- (+ (* -1 (/ (+ (* -3 (pow y 2)) (* 3 (pow y 2))) (+ (* 2 (pow y 2)) (pow y 2)))) (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1 (/ (- (* -1 (/ (+ (* -3 (pow y 2)) (* 3 (pow y 2))) (+ (* 2 (pow y 2)) (pow y 2)))) (* -9 (/ (pow y 4) (pow (+ (* 2 (pow y 2)) (pow y 2)) 2)))) (pow (+ (* 2 (pow y 2)) (pow y 2)) 2))) (/ 1 (pow (+ (* 2 (pow y 2)) (pow y 2)) 2))))) (+ (* -1 (/ (- (* -1 (/ (+ (* -3 (pow y 2)) (* 3 (pow y 2))) (+ (* 2 (pow y 2)) (pow y 2)))) (* -9 (/ (pow y 4) (pow (+ (* 2 (pow y 2)) (pow y 2)) 2)))) (+ (* 2 (pow y 2)) (pow y 2)))) (/ 1 (+ (* 2 (pow y 2)) (pow y 2))))))) (* -9 (/ (pow y 4) (pow (+ (* 2 (pow y 2)) (pow y 2)) 2)))))) |
(* -9 (pow y 4)) |
(+ (* -9 (pow y 4)) (* (pow x 2) (+ (* -3 (pow y 2)) (* 3 (pow y 2))))) |
(+ (* -9 (pow y 4)) (* (pow x 2) (+ (* -3 (pow y 2)) (+ (* 3 (pow y 2)) (pow x 2))))) |
(* -1 (+ (* 2 (pow y 2)) (pow y 2))) |
(- (pow x 2) (+ (* 2 (pow y 2)) (pow y 2))) |
(* 3 (/ y x)) |
(* -3 (pow y 2)) |
(+ (* -3 (pow y 2)) (pow x 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 (* 3 (/ (pow y 2) (pow x 2))))) |
1 |
(+ 1 (* 3 (/ (pow y 2) (pow x 2)))) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(* (pow x 2) (- (+ 1 (+ (* -3 (/ (pow y 2) (pow x 2))) (* 3 (/ (pow y 2) (pow x 2))))) (* -1 (/ (+ (* 2 (pow y 2)) (pow y 2)) (pow x 2))))) |
(* (pow x 2) (- (+ 1 (+ (* -9 (/ (pow y 4) (pow x 4))) (+ (* -3 (/ (pow y 2) (pow x 2))) (* 3 (/ (pow y 2) (pow x 2)))))) (+ (* -1 (/ (* (+ (* 2 (pow y 2)) (pow y 2)) (- (+ (* -3 (pow y 2)) (* 3 (pow y 2))) (* -1 (+ (* 2 (pow y 2)) (pow y 2))))) (pow x 4))) (* -1 (/ (+ (* 2 (pow y 2)) (pow y 2)) (pow x 2)))))) |
(* (pow x 2) (- (+ 1 (+ (* -9 (/ (pow y 4) (pow x 4))) (+ (* -3 (/ (pow y 2) (pow x 2))) (+ (* 3 (/ (pow y 2) (pow x 2))) (/ (* (+ (* 2 (pow y 2)) (pow y 2)) (- (* -9 (pow y 4)) (* -1 (* (+ (* 2 (pow y 2)) (pow y 2)) (- (+ (* -3 (pow y 2)) (* 3 (pow y 2))) (* -1 (+ (* 2 (pow y 2)) (pow y 2)))))))) (pow x 6)))))) (+ (* -1 (/ (* (+ (* 2 (pow y 2)) (pow y 2)) (- (+ (* -3 (pow y 2)) (* 3 (pow y 2))) (* -1 (+ (* 2 (pow y 2)) (pow y 2))))) (pow x 4))) (* -1 (/ (+ (* 2 (pow y 2)) (pow y 2)) (pow x 2)))))) |
(pow x 4) |
(* (pow x 4) (+ 1 (+ (* -3 (/ (pow y 2) (pow x 2))) (* 3 (/ (pow y 2) (pow x 2)))))) |
(* (pow x 4) (+ 1 (+ (* -9 (/ (pow y 4) (pow x 4))) (+ (* -3 (/ (pow y 2) (pow x 2))) (* 3 (/ (pow y 2) (pow x 2))))))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* 2 (pow y 2)) (pow y 2)) (pow x 2))))) |
(* (pow x 2) (+ 1 (* -3 (/ (pow y 2) (pow x 2))))) |
(* 3 y) |
(* 2 y) |
(* y (+ 2 y)) |
(+ (* (pow y 2) (+ (* -3 (pow x 2)) (* 3 (pow x 2)))) (pow x 4)) |
(+ (* (pow y 2) (+ (* -9 (pow y 2)) (+ (* -3 (pow x 2)) (* 3 (pow x 2))))) (pow x 4)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ (* 3 (/ 1 (pow x 2))) (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1 (* 2 (/ 1 y)))) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(* (pow y 4) (- (+ (* -3 (/ (pow x 2) (pow y 2))) (* 3 (/ (pow x 2) (pow y 2)))) 9)) |
(* (pow y 4) (- (+ (* -3 (/ (pow x 2) (pow y 2))) (+ (* 3 (/ (pow x 2) (pow y 2))) (/ (pow x 4) (pow y 4)))) 9)) |
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 3)) |
| Outputs |
|---|
(+ (* 2 (pow y 2)) (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(* 3 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)) |
(* 3 (/ (pow y 2) (pow x 2))) |
(*.f64 (*.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) y) y) |
(/ (+ (* 3 (pow y 2)) (pow x 2)) (pow x 2)) |
(fma.f64 (*.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) y) y #s(literal 1 binary64)) |
(pow y 2) |
(*.f64 y y) |
(+ (pow x 2) (pow y 2)) |
(fma.f64 y y (*.f64 x x)) |
(* 9 (/ (pow y 4) (+ (* 2 (pow y 2)) (pow y 2)))) |
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 y y))) |
(+ (* 9 (/ (pow y 4) (+ (* 2 (pow y 2)) (pow y 2)))) (* (pow x 2) (- (* -1 (/ (+ (* -3 (pow y 2)) (* 3 (pow y 2))) (+ (* 2 (pow y 2)) (pow y 2)))) (* -9 (/ (pow y 4) (pow (+ (* 2 (pow y 2)) (pow y 2)) 2)))))) |
(fma.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 9 binary64))) (*.f64 x x) (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 y y)))) |
(+ (* 9 (/ (pow y 4) (+ (* 2 (pow y 2)) (pow y 2)))) (* (pow x 2) (- (+ (* -1 (* (pow x 2) (+ (* -1 (/ (- (* -1 (/ (+ (* -3 (pow y 2)) (* 3 (pow y 2))) (+ (* 2 (pow y 2)) (pow y 2)))) (* -9 (/ (pow y 4) (pow (+ (* 2 (pow y 2)) (pow y 2)) 2)))) (+ (* 2 (pow y 2)) (pow y 2)))) (/ 1 (+ (* 2 (pow y 2)) (pow y 2)))))) (* -1 (/ (+ (* -3 (pow y 2)) (* 3 (pow y 2))) (+ (* 2 (pow y 2)) (pow y 2))))) (* -9 (/ (pow y 4) (pow (+ (* 2 (pow y 2)) (pow y 2)) 2)))))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal -9 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 #s(literal -3 binary64) (*.f64 y y))) (*.f64 x x) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 9 binary64)))) (*.f64 x x) (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 y y)))) |
(+ (* 9 (/ (pow y 4) (+ (* 2 (pow y 2)) (pow y 2)))) (* (pow x 2) (- (+ (* -1 (/ (+ (* -3 (pow y 2)) (* 3 (pow y 2))) (+ (* 2 (pow y 2)) (pow y 2)))) (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1 (/ (- (* -1 (/ (+ (* -3 (pow y 2)) (* 3 (pow y 2))) (+ (* 2 (pow y 2)) (pow y 2)))) (* -9 (/ (pow y 4) (pow (+ (* 2 (pow y 2)) (pow y 2)) 2)))) (pow (+ (* 2 (pow y 2)) (pow y 2)) 2))) (/ 1 (pow (+ (* 2 (pow y 2)) (pow y 2)) 2))))) (+ (* -1 (/ (- (* -1 (/ (+ (* -3 (pow y 2)) (* 3 (pow y 2))) (+ (* 2 (pow y 2)) (pow y 2)))) (* -9 (/ (pow y 4) (pow (+ (* 2 (pow y 2)) (pow y 2)) 2)))) (+ (* 2 (pow y 2)) (pow y 2)))) (/ 1 (+ (* 2 (pow y 2)) (pow y 2))))))) (* -9 (/ (pow y 4) (pow (+ (* 2 (pow y 2)) (pow y 2)) 2)))))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal -9 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 #s(literal -9 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x)) (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal -9 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 y y) #s(literal 3 binary64)))) (*.f64 x x) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 9 binary64)))) (*.f64 x x) (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 y y)))) |
(* -9 (pow y 4)) |
(*.f64 #s(literal -9 binary64) (pow.f64 y #s(literal 4 binary64))) |
(+ (* -9 (pow y 4)) (* (pow x 2) (+ (* -3 (pow y 2)) (* 3 (pow y 2))))) |
(*.f64 #s(literal -9 binary64) (pow.f64 y #s(literal 4 binary64))) |
(+ (* -9 (pow y 4)) (* (pow x 2) (+ (* -3 (pow y 2)) (+ (* 3 (pow y 2)) (pow x 2))))) |
(fma.f64 #s(literal -9 binary64) (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* -1 (+ (* 2 (pow y 2)) (pow y 2))) |
(*.f64 #s(literal -3 binary64) (*.f64 y y)) |
(- (pow x 2) (+ (* 2 (pow y 2)) (pow y 2))) |
(fma.f64 #s(literal -3 binary64) (*.f64 y y) (*.f64 x x)) |
(* 3 (/ y x)) |
(*.f64 (/.f64 y x) #s(literal 3 binary64)) |
(* -3 (pow y 2)) |
(*.f64 #s(literal -3 binary64) (*.f64 y y)) |
(+ (* -3 (pow y 2)) (pow x 2)) |
(fma.f64 #s(literal -3 binary64) (*.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))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) y) y #s(literal 1 binary64)) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) y) y #s(literal 1 binary64)) (*.f64 x x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 3 (/ (pow y 2) (pow x 2)))) |
(fma.f64 (*.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) y) y #s(literal 1 binary64)) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x) |
(* (pow x 2) (- (+ 1 (+ (* -3 (/ (pow y 2) (pow x 2))) (* 3 (/ (pow y 2) (pow x 2))))) (* -1 (/ (+ (* 2 (pow y 2)) (pow y 2)) (pow x 2))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) y) y #s(literal 1 binary64)) (*.f64 x x)) |
(* (pow x 2) (- (+ 1 (+ (* -9 (/ (pow y 4) (pow x 4))) (+ (* -3 (/ (pow y 2) (pow x 2))) (* 3 (/ (pow y 2) (pow x 2)))))) (+ (* -1 (/ (* (+ (* 2 (pow y 2)) (pow y 2)) (- (+ (* -3 (pow y 2)) (* 3 (pow y 2))) (* -1 (+ (* 2 (pow y 2)) (pow y 2))))) (pow x 4))) (* -1 (/ (+ (* 2 (pow y 2)) (pow y 2)) (pow x 2)))))) |
(*.f64 x (fma.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -9 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) y) y (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 x #s(literal 4 binary64))))) x x)) |
(* (pow x 2) (- (+ 1 (+ (* -9 (/ (pow y 4) (pow x 4))) (+ (* -3 (/ (pow y 2) (pow x 2))) (+ (* 3 (/ (pow y 2) (pow x 2))) (/ (* (+ (* 2 (pow y 2)) (pow y 2)) (- (* -9 (pow y 4)) (* -1 (* (+ (* 2 (pow y 2)) (pow y 2)) (- (+ (* -3 (pow y 2)) (* 3 (pow y 2))) (* -1 (+ (* 2 (pow y 2)) (pow y 2)))))))) (pow x 6)))))) (+ (* -1 (/ (* (+ (* 2 (pow y 2)) (pow y 2)) (- (+ (* -3 (pow y 2)) (* 3 (pow y 2))) (* -1 (+ (* 2 (pow y 2)) (pow y 2))))) (pow x 4))) (* -1 (/ (+ (* 2 (pow y 2)) (pow y 2)) (pow x 2)))))) |
(*.f64 x (fma.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -9 binary64) (*.f64 (*.f64 y y) (fma.f64 #s(literal 3 binary64) (/.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 9 binary64))) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 3 binary64) (*.f64 x x))))) (*.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))) x x)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(* (pow x 4) (+ 1 (+ (* -3 (/ (pow y 2) (pow x 2))) (* 3 (/ (pow y 2) (pow x 2)))))) |
(pow.f64 x #s(literal 4 binary64)) |
(* (pow x 4) (+ 1 (+ (* -9 (/ (pow y 4) (pow x 4))) (+ (* -3 (/ (pow y 2) (pow x 2))) (* 3 (/ (pow y 2) (pow x 2))))))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* 2 (pow y 2)) (pow y 2)) (pow x 2))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x) (/.f64 (*.f64 y y) x) #s(literal 1 binary64)) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* -3 (/ (pow y 2) (pow x 2))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x) (/.f64 (*.f64 y y) x) #s(literal 1 binary64)) (*.f64 x x)) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* y (+ 2 y)) |
(*.f64 (+.f64 #s(literal 2 binary64) y) y) |
(+ (* (pow y 2) (+ (* -3 (pow x 2)) (* 3 (pow x 2)))) (pow x 4)) |
(pow.f64 x #s(literal 4 binary64)) |
(+ (* (pow y 2) (+ (* -9 (pow y 2)) (+ (* -3 (pow x 2)) (* 3 (pow x 2))))) (pow x 4)) |
(fma.f64 #s(literal -9 binary64) (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 3 binary64)) (*.f64 y y)) |
(* (pow y 2) (+ (* 3 (/ 1 (pow x 2))) (/ 1 (pow y 2)))) |
(fma.f64 (*.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) y) y #s(literal 1 binary64)) |
(* (pow y 2) (+ 1 (* 2 (/ 1 y)))) |
(*.f64 y (fma.f64 (/.f64 #s(literal 2 binary64) y) y y)) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 1 binary64)) (*.f64 y y)) |
(* (pow y 4) (- (+ (* -3 (/ (pow x 2) (pow y 2))) (* 3 (/ (pow x 2) (pow y 2)))) 9)) |
(*.f64 #s(literal -9 binary64) (pow.f64 y #s(literal 4 binary64))) |
(* (pow y 4) (- (+ (* -3 (/ (pow x 2) (pow y 2))) (+ (* 3 (/ (pow x 2) (pow y 2))) (/ (pow x 4) (pow y 4)))) 9)) |
(*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))) |
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 3)) |
(*.f64 (-.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 3 binary64)) (*.f64 y y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 264 |
| 0 | 66 | 245 |
| 1 | 283 | 199 |
| 2 | 2819 | 199 |
| 0 | 10120 | 190 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* (* 3 y) y) (* x x)) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x)))) |
#s(approx (+ (* (* 3 y) y) (* x x)) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x))) |
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x)) |
(fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) |
#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) |
(fma.f64 y y (*.f64 #s(literal 2 binary64) y)) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y y (*.f64 #s(literal 2 binary64) y))) |
(*.f64 #s(literal 2 binary64) y) |
(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)) |
(*.f64 y y) |
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) (fma.f64 x x (*.f64 #s(literal -3 binary64) (*.f64 y y)))) (-.f64 (*.f64 x x) (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) (fma.f64 x x (*.f64 #s(literal -3 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 #s(literal 3 binary64) (/.f64 y x)) |
(fma.f64 x x (*.f64 #s(literal -3 binary64) (*.f64 y y))) |
(*.f64 #s(literal -3 binary64) (*.f64 y y)) |
| Outputs |
|---|
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 x x) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64) #s(literal 1 binary64))))) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 x x) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64) #s(literal 1 binary64)) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64) #s(literal 1 binary64)) x) x) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64) #s(literal 1 binary64)))) |
(*.f64 (*.f64 x x) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64) #s(literal 1 binary64)) (*.f64 x x)) |
(*.f64 x (*.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64) #s(literal 1 binary64)) x)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 x x)) (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 x x)) (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 x x))) (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 x x)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64))) (*.f64 (*.f64 x x) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64))) (*.f64 (*.f64 x x) #s(literal 1 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64))) (*.f64 (*.f64 x x) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 27 binary64) #s(literal 1 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 9 binary64) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 1 binary64)))) (neg.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 27 binary64) #s(literal 1 binary64)))) (neg.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 9 binary64) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 x x)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 27 binary64) #s(literal 1 binary64)) (*.f64 x x)) (-.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 9 binary64) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 27 binary64) #s(literal 1 binary64))) (-.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 9 binary64) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)))) |
(fma.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 x x) (*.f64 #s(literal 1 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 x x) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 x x))) |
(+.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (*.f64 x x))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 x x))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64))) (*.f64 (*.f64 x x) #s(literal 1 binary64))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 27 binary64)) (-.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 9 binary64) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 9 binary64) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 27 binary64)) (-.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 9 binary64) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 27 binary64)) (-.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 9 binary64) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)))) (-.f64 (*.f64 (pow.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 9 binary64) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 9 binary64) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 27 binary64)) (-.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 9 binary64) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)))) (pow.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 9 binary64) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 9 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 27 binary64) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 9 binary64) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 9 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 27 binary64) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 27 binary64) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 9 binary64) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 27 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64))))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 27 binary64) #s(literal 1 binary64)) (-.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 9 binary64) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)))) |
(fma.f64 (fabs.f64 (*.f64 (/.f64 y x) #s(literal 3 binary64))) (fabs.f64 (*.f64 (/.f64 y x) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(fma.f64 (fabs.f64 (*.f64 (/.f64 y x) #s(literal 3 binary64))) (/.f64 y x) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (/.f64 y x) #s(literal 3 binary64)) (*.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (/.f64 y x) #s(literal 3 binary64)) (/.f64 y x) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y x) (fabs.f64 (*.f64 (*.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y x) (fabs.f64 (*.f64 (/.f64 y x) #s(literal 3 binary64))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y x) (*.f64 (*.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y x) (*.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 3 binary64) (fabs.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(fma.f64 #s(literal 3 binary64) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 3 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 9 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64))))) |
(-.f64 (/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 9 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal 3 binary64))) (/.f64 y x))) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 y x)) (*.f64 (/.f64 y x) #s(literal 3 binary64)))) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 27 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64))))) (/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 27 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)))))) |
(+.f64 (pow.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 9 binary64) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 27 binary64)) (-.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 9 binary64) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64))))) |
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(hypot.f64 (neg.f64 (*.f64 #s(literal 2 binary64) y)) (pow.f64 (neg.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 3/2 binary64))) |
(hypot.f64 (neg.f64 (*.f64 #s(literal 2 binary64) y)) (neg.f64 (*.f64 #s(literal 2 binary64) y))) |
(hypot.f64 (neg.f64 (*.f64 #s(literal 2 binary64) y)) (*.f64 #s(literal 2 binary64) y)) |
(hypot.f64 (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 y) y)) |
(hypot.f64 (*.f64 (neg.f64 y) y) (*.f64 y y)) |
(hypot.f64 (neg.f64 y) (neg.f64 (neg.f64 (neg.f64 y)))) |
(hypot.f64 (neg.f64 y) (exp.f64 (log.f64 y))) |
(hypot.f64 (neg.f64 y) (neg.f64 (neg.f64 y))) |
(hypot.f64 (neg.f64 y) (neg.f64 y)) |
(hypot.f64 (neg.f64 y) y) |
(hypot.f64 (*.f64 #s(literal 2 binary64) y) (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) y)))) |
(hypot.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 (neg.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 3/2 binary64))) |
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(hypot.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 2 binary64) y)) |
(hypot.f64 (*.f64 y y) (*.f64 (neg.f64 y) y)) |
(hypot.f64 (*.f64 y y) (*.f64 y y)) |
(hypot.f64 y (neg.f64 (neg.f64 (neg.f64 y)))) |
(hypot.f64 y (exp.f64 (log.f64 y))) |
(hypot.f64 y (neg.f64 (neg.f64 y))) |
(hypot.f64 y (neg.f64 y)) |
(hypot.f64 y y) |
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(exp.f64 (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) (*.f64 (log.f64 y) #s(literal 3 binary64)))) |
(exp.f64 (fma.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 3 binary64) (log.f64 (*.f64 #s(literal 2 binary64) y)))) |
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(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) y))) |
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(hypot.f64 (*.f64 (neg.f64 y) y) (*.f64 y y)) |
(hypot.f64 (neg.f64 y) (neg.f64 (neg.f64 (neg.f64 y)))) |
(hypot.f64 (neg.f64 y) (exp.f64 (log.f64 y))) |
(hypot.f64 (neg.f64 y) (neg.f64 (neg.f64 y))) |
(hypot.f64 (neg.f64 y) (neg.f64 y)) |
(hypot.f64 (neg.f64 y) y) |
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(hypot.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 (neg.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 3/2 binary64))) |
(hypot.f64 (*.f64 #s(literal 2 binary64) y) (neg.f64 (*.f64 #s(literal 2 binary64) y))) |
(hypot.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 2 binary64) y)) |
(hypot.f64 (*.f64 y y) (*.f64 (neg.f64 y) y)) |
(hypot.f64 (*.f64 y y) (*.f64 y y)) |
(hypot.f64 y (neg.f64 (neg.f64 (neg.f64 y)))) |
(hypot.f64 y (exp.f64 (log.f64 y))) |
(hypot.f64 y (neg.f64 (neg.f64 y))) |
(hypot.f64 y (neg.f64 y)) |
(hypot.f64 y y) |
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(exp.f64 (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) (*.f64 (log.f64 y) #s(literal 3 binary64)))) |
(exp.f64 (fma.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 3 binary64) (log.f64 (*.f64 #s(literal 2 binary64) y)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 3/2 binary64))) |
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) y))) |
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(+.f64 (/.f64 y (fma.f64 y y #s(literal 0 binary64))) (/.f64 y (fma.f64 y y #s(literal 0 binary64)))) |
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(+.f64 (/.f64 (*.f64 y y) (fma.f64 y y #s(literal 0 binary64))) (/.f64 (*.f64 y y) (fma.f64 y y #s(literal 0 binary64)))) |
(+.f64 (cosh.f64 (log.f64 (*.f64 #s(literal 2 binary64) y))) (sinh.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)))) |
(+.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)))) |
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(+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
(+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) |
(+.f64 (neg.f64 y) (neg.f64 y)) |
(+.f64 (neg.f64 y) y) |
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(+.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 #s(literal 2 binary64) y))) |
(+.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 2 binary64) y)) |
(+.f64 (*.f64 y y) (*.f64 y y)) |
(+.f64 y (neg.f64 y)) |
(+.f64 y y) |
#s(approx (+ (* y y) (* x x)) (*.f64 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)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal -27 binary64) (pow.f64 y #s(literal 6 binary64))))) (+.f64 (fma.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))) |
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(fma.f64 x x (fma.f64 y y #s(literal 0 binary64))) |
(fma.f64 x x (*.f64 #s(literal -3 binary64) (*.f64 y y))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 x y) (-.f64 x y)) #s(literal 2 binary64)) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))) (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 x y) (-.f64 x y)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 x y) (-.f64 x y)) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) y (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 #s(literal 2 binary64) y))))) (/.f64 (*.f64 #s(literal 2 binary64) y) (+.f64 (pow.f64 (*.f64 (+.f64 x y) (-.f64 x y)) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) y (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 #s(literal 2 binary64) y)))))) |
(-.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))) (/.f64 (*.f64 (neg.f64 (*.f64 #s(literal -3 binary64) (*.f64 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 (/.f64 (fma.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))) (/.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))) (*.f64 #s(literal -3 binary64) (*.f64 y y))) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)))) |
(-.f64 (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y)) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y)) (*.f64 x x)))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 x x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 x x)) #s(literal 2 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 x x)) (*.f64 y y))))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 x x)) #s(literal 2 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 x x)) (*.f64 y y)))))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 x x)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)))) |
(-.f64 (-.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 y y)) (*.f64 y y)) |
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))) (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal -27 binary64) (pow.f64 y #s(literal 6 binary64))) (+.f64 (fma.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))) |
(-.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 #s(literal 2 binary64) y)) |
(-.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y)) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))) |
(-.f64 (*.f64 #s(literal -3 binary64) (*.f64 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 (*.f64 (neg.f64 y) y) #s(literal -3 binary64))) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) |
(-.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 x x)) (*.f64 y y)) |
(-.f64 (fma.f64 x x (*.f64 y y)) (fma.f64 (neg.f64 y) y (*.f64 y y))) |
(+.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)))) (/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) #s(literal -3 binary64)) (*.f64 y y))) (neg.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))))) |
(+.f64 (/.f64 (*.f64 (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))) (/.f64 (*.f64 (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)))) |
(+.f64 (/.f64 (*.f64 (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))) (/.f64 (*.f64 (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)))) |
(+.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) #s(literal -3 binary64)) (*.f64 y y)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))) (/.f64 (fma.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)))) |
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) y) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))) (/.f64 (*.f64 (*.f64 x x) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)))) |
(+.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) y) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)))) |
(+.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 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -3 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 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -3 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 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -3 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 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -3 binary64)))))) |
(+.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))) (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) #s(literal -3 binary64)) (*.f64 y y)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)))) |
(+.f64 (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y)) (*.f64 x x))) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) (-.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y)) (*.f64 x x)))) |
(+.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 x x)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))) (/.f64 (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)))) |
(+.f64 (/.f64 (*.f64 #s(literal -27 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -3 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -3 binary64))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -3 binary64)))) (/.f64 (*.f64 #s(literal -27 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -3 binary64))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))) (/.f64 (*.f64 (neg.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y))) (*.f64 #s(literal -3 binary64) (*.f64 y y))) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)))) |
(+.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) y)) y)) |
(+.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (*.f64 (neg.f64 y) y) #s(literal 2 binary64))) |
(+.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 #s(literal -2 binary64) (*.f64 y y))) |
(+.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 #s(literal 2 binary64) y)) |
(+.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y)) (*.f64 x x)) |
(+.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 #s(literal 3 binary64) y)) y)) |
(+.f64 (*.f64 x x) (*.f64 (neg.f64 y) (*.f64 #s(literal 3 binary64) y))) |
(+.f64 (*.f64 x x) (fma.f64 y y #s(literal 0 binary64))) |
(+.f64 (*.f64 x x) (*.f64 #s(literal -3 binary64) (*.f64 y y))) |
(+.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 x x)) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y))) |
(+.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 x x)) (*.f64 (neg.f64 y) y)) |
(+.f64 (fma.f64 x x (*.f64 y y)) #s(literal 0 binary64)) |
(+.f64 (*.f64 y y) (fma.f64 x x #s(literal 0 binary64))) |
(*.f64 (*.f64 #s(literal -3 binary64) (neg.f64 y)) (neg.f64 y)) |
(*.f64 (*.f64 #s(literal -3 binary64) y) y) |
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal -3 binary64))) |
(*.f64 #s(literal -3 binary64) (*.f64 y y)) |
(*.f64 (*.f64 y y) #s(literal -3 binary64)) |
(*.f64 y (*.f64 #s(literal -3 binary64) y)) |
Compiled 56 009 to 5 157 computations (90.8% saved)
11 alts after pruning (6 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 751 | 6 | 1 757 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 753 | 11 | 1 764 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 71.5% | (fma.f64 (+.f64 #s(literal 2 binary64) y) y (*.f64 x x)) |
| ✓ | 55.0% | (fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y))) |
| 14.1% | (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) (fma.f64 x x (*.f64 #s(literal -3 binary64) (*.f64 y y)))) #s(approx (- (* x x) (+ (* y y) (* 2 (* y y)))) (*.f64 #s(literal -3 binary64) (*.f64 y y)))) | |
| ✓ | 99.9% | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))) |
| ▶ | 30.8% | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) y) y)) |
| ✓ | 55.0% | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) |
| ▶ | 61.1% | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) |
| ✓ | 55.0% | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y))) |
| ▶ | 38.2% | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fabs.f64 (fma.f64 y y #s(literal 0 binary64)))) |
| ✓ | 83.4% | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* (* 3 y) y) (* x x)) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x)))) |
| ▶ | 6.1% | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (*.f64 #s(literal 2 binary64) y))) |
Compiled 388 to 203 computations (47.7% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 #s(literal 2 binary64) y) | |
| cost-diff | 0 | (*.f64 (+.f64 #s(literal 2 binary64) y) y) | |
| cost-diff | 0 | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) y) y)) | |
| cost-diff | 0 | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fabs.f64 (fma.f64 y y #s(literal 0 binary64)))) | |
| cost-diff | 1 | (fma.f64 y y #s(literal 0 binary64)) | |
| cost-diff | 1 | (fabs.f64 (fma.f64 y y #s(literal 0 binary64))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) y) | |
| cost-diff | 0 | #s(approx (+ (* y y) (* 2 y)) (*.f64 #s(literal 2 binary64) y)) | |
| cost-diff | 0 | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (*.f64 #s(literal 2 binary64) y))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (+.f64 #s(literal 2 binary64) y) | |
| cost-diff | 0 | (fma.f64 (+.f64 #s(literal 2 binary64) y) y (*.f64 x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 146 |
| 0 | 30 | 138 |
| 1 | 70 | 129 |
| 2 | 238 | 113 |
| 3 | 880 | 113 |
| 4 | 1943 | 113 |
| 5 | 2732 | 113 |
| 6 | 3375 | 113 |
| 7 | 3980 | 113 |
| 8 | 4513 | 113 |
| 9 | 4605 | 113 |
| 10 | 4605 | 113 |
| 0 | 4605 | 109 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (+.f64 #s(literal 2 binary64) y) y (*.f64 x x)) |
(+.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
y |
(*.f64 x x) |
x |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (*.f64 #s(literal 2 binary64) y))) |
#s(approx (+ (* y y) (* 2 y)) (*.f64 #s(literal 2 binary64) y)) |
(*.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
y |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) |
(*.f64 x x) |
x |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fabs.f64 (fma.f64 y y #s(literal 0 binary64)))) |
(fabs.f64 (fma.f64 y y #s(literal 0 binary64))) |
(fma.f64 y y #s(literal 0 binary64)) |
y |
#s(literal 0 binary64) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) y) y)) |
(*.f64 (+.f64 #s(literal 2 binary64) y) y) |
(+.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
y |
| Outputs |
|---|
(fma.f64 (+.f64 #s(literal 2 binary64) y) y (*.f64 x x)) |
(fma.f64 (-.f64 y #s(literal -2 binary64)) y (*.f64 x x)) |
(+.f64 #s(literal 2 binary64) y) |
(-.f64 y #s(literal -2 binary64)) |
#s(literal 2 binary64) |
y |
(*.f64 x x) |
x |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (*.f64 #s(literal 2 binary64) y))) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (*.f64 y #s(literal 2 binary64)))) |
#s(approx (+ (* y y) (* 2 y)) (*.f64 #s(literal 2 binary64) y)) |
#s(approx (+ (* y y) (* 2 y)) (*.f64 y #s(literal 2 binary64))) |
(*.f64 #s(literal 2 binary64) y) |
(*.f64 y #s(literal 2 binary64)) |
#s(literal 2 binary64) |
y |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) |
(*.f64 x x) |
x |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fabs.f64 (fma.f64 y y #s(literal 0 binary64)))) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 y y)) |
(fabs.f64 (fma.f64 y y #s(literal 0 binary64))) |
(*.f64 y y) |
(fma.f64 y y #s(literal 0 binary64)) |
(*.f64 y y) |
y |
#s(literal 0 binary64) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) y) y)) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (-.f64 y #s(literal -2 binary64)) y)) |
(*.f64 (+.f64 #s(literal 2 binary64) y) y) |
(*.f64 (-.f64 y #s(literal -2 binary64)) y) |
(+.f64 #s(literal 2 binary64) y) |
(-.f64 y #s(literal -2 binary64)) |
#s(literal 2 binary64) |
y |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (+.f64 #s(literal 2 binary64) y) | |
| accuracy | 0.0078125 | (*.f64 (+.f64 #s(literal 2 binary64) y) y) | |
| accuracy | 44.297149498519396 | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) y) y)) | |
| accuracy | 0.0 | (fma.f64 y y #s(literal 0 binary64)) | |
| accuracy | 0.0 | (fabs.f64 (fma.f64 y y #s(literal 0 binary64))) | |
| accuracy | 39.545161110315156 | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fabs.f64 (fma.f64 y y #s(literal 0 binary64)))) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 24.911464880762868 | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) | |
| accuracy | 0.0 | (*.f64 #s(literal 2 binary64) y) | |
| accuracy | 28.759267679072646 | #s(approx (+ (* y y) (* 2 y)) (*.f64 #s(literal 2 binary64) y)) | |
| accuracy | 44.297149498519396 | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (*.f64 #s(literal 2 binary64) y))) | |
| accuracy | 0.0 | (+.f64 #s(literal 2 binary64) y) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.0078125 | (fma.f64 (+.f64 #s(literal 2 binary64) y) y (*.f64 x x)) |
| 34.0ms | 256× | 0 | valid |
Compiled 119 to 18 computations (84.9% saved)
ival-add: 10.0ms (56.1% of total)ival-mult: 6.0ms (33.7% of total)ival-fabs: 1.0ms (5.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (+.f64 #s(literal 2 binary64) y) y (*.f64 x x)) |
(+.f64 #s(literal 2 binary64) y) |
(*.f64 x x) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (*.f64 #s(literal 2 binary64) y))) |
#s(approx (+ (* y y) (* 2 y)) (*.f64 #s(literal 2 binary64) y)) |
(*.f64 #s(literal 2 binary64) y) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) |
(fabs.f64 (fma.f64 y y #s(literal 0 binary64))) |
(fma.f64 y y #s(literal 0 binary64)) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fabs.f64 (fma.f64 y y #s(literal 0 binary64)))) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) y) y)) |
(*.f64 (+.f64 #s(literal 2 binary64) y) y) |
| Outputs |
|---|
(* y (+ 2 y)) |
(+ (* y (+ 2 y)) (pow x 2)) |
(pow x 2) |
(+ (* 2 (pow y 2)) (pow y 2)) |
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2))) |
(* (pow x 2) (+ 1 (/ (* y (+ 2 y)) (pow x 2)))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(+ (* 2 y) (pow x 2)) |
2 |
(+ 2 y) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(* 2 y) |
(fabs (pow y 2)) |
(pow y 2) |
(* (pow y 2) (+ 1 (* 2 (/ 1 y)))) |
(* (pow y 2) (+ 1 (+ (* 2 (/ 1 y)) (/ (pow x 2) (pow y 2))))) |
y |
(* y (+ 1 (* 2 (/ 1 y)))) |
(* 3 (pow y 2)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) 2) y)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | y | @ | inf | ((+ (* (+ 2 y) y) (* x x)) (+ 2 y) (* x x) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* y y) (* 2 y)) (* 2 y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fabs (+ (* y y) 0)) (+ (* y y) 0) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (+ 2 y) y)) |
| 1.0ms | y | @ | -inf | ((+ (* (+ 2 y) y) (* x x)) (+ 2 y) (* x x) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* y y) (* 2 y)) (* 2 y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fabs (+ (* y y) 0)) (+ (* y y) 0) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (+ 2 y) y)) |
| 1.0ms | y | @ | 0 | ((+ (* (+ 2 y) y) (* x x)) (+ 2 y) (* x x) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* y y) (* 2 y)) (* 2 y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fabs (+ (* y y) 0)) (+ (* y y) 0) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (+ 2 y) y)) |
| 1.0ms | x | @ | -inf | ((+ (* (+ 2 y) y) (* x x)) (+ 2 y) (* x x) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* y y) (* 2 y)) (* 2 y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fabs (+ (* y y) 0)) (+ (* y y) 0) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (+ 2 y) y)) |
| 1.0ms | x | @ | 0 | ((+ (* (+ 2 y) y) (* x x)) (+ 2 y) (* x x) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* y y) (* 2 y)) (* 2 y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fabs (+ (* y y) 0)) (+ (* y y) 0) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (+ 2 y) y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 159 |
| 1 | 152 | 151 |
| 2 | 537 | 143 |
| 3 | 3126 | 143 |
| 0 | 8434 | 134 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* y (+ 2 y)) |
(+ (* y (+ 2 y)) (pow x 2)) |
(pow x 2) |
(+ (* 2 (pow y 2)) (pow y 2)) |
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2))) |
(* (pow x 2) (+ 1 (/ (* y (+ 2 y)) (pow x 2)))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(+ (* 2 y) (pow x 2)) |
2 |
(+ 2 y) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(* 2 y) |
(fabs (pow y 2)) |
(pow y 2) |
(* (pow y 2) (+ 1 (* 2 (/ 1 y)))) |
(* (pow y 2) (+ 1 (+ (* 2 (/ 1 y)) (/ (pow x 2) (pow y 2))))) |
y |
(* y (+ 1 (* 2 (/ 1 y)))) |
(* 3 (pow y 2)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) 2) y)))) |
| Outputs |
|---|
(* y (+ 2 y)) |
(*.f64 (-.f64 y #s(literal -2 binary64)) y) |
(+ (* y (+ 2 y)) (pow x 2)) |
(fma.f64 (-.f64 y #s(literal -2 binary64)) y (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(+ (* 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)) |
(* (pow x 2) (+ 1 (/ (* y (+ 2 y)) (pow x 2)))) |
(*.f64 (fma.f64 (/.f64 (/.f64 y x) x) (-.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 x x)) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x)) |
(+ (* 2 y) (pow x 2)) |
(fma.f64 #s(literal 2 binary64) y (*.f64 x x)) |
2 |
#s(literal 2 binary64) |
(+ 2 y) |
(-.f64 y #s(literal -2 binary64)) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(fabs (pow y 2)) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (+ 1 (* 2 (/ 1 y)))) |
(*.f64 (-.f64 y #s(literal -2 binary64)) y) |
(* (pow y 2) (+ 1 (+ (* 2 (/ 1 y)) (/ (pow x 2) (pow y 2))))) |
(fma.f64 (/.f64 (*.f64 x x) y) y (*.f64 (-.f64 y #s(literal -2 binary64)) y)) |
y |
(* y (+ 1 (* 2 (/ 1 y)))) |
(-.f64 y #s(literal -2 binary64)) |
(* 3 (pow y 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 y y)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(*.f64 (fma.f64 (/.f64 (/.f64 x y) y) x #s(literal 3 binary64)) (*.f64 y y)) |
(* (pow y 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) 2) y)))) |
(fma.f64 (/.f64 (*.f64 x x) y) y (*.f64 (-.f64 y #s(literal -2 binary64)) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 130 |
| 0 | 30 | 122 |
| 1 | 150 | 113 |
| 2 | 1686 | 113 |
| 0 | 8770 | 105 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (+.f64 #s(literal 2 binary64) y) y (*.f64 x x)) |
(+.f64 #s(literal 2 binary64) y) |
(*.f64 x x) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (*.f64 #s(literal 2 binary64) y))) |
#s(approx (+ (* y y) (* 2 y)) (*.f64 #s(literal 2 binary64) y)) |
(*.f64 #s(literal 2 binary64) y) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) |
(fabs.f64 (fma.f64 y y #s(literal 0 binary64))) |
(fma.f64 y y #s(literal 0 binary64)) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fabs.f64 (fma.f64 y y #s(literal 0 binary64)))) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) y) y)) |
(*.f64 (+.f64 #s(literal 2 binary64) y) y) |
| Outputs |
|---|
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 2 binary64)) y) #s(literal 2 binary64)) (fma.f64 (+.f64 y #s(literal 2 binary64)) y (*.f64 (neg.f64 x) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (+.f64 y #s(literal 2 binary64)) y (*.f64 (neg.f64 x) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 2 binary64)) y) #s(literal 2 binary64)) (fma.f64 (+.f64 y #s(literal 2 binary64)) y (*.f64 (neg.f64 x) x))) (/.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 2 binary64)) y) #s(literal 2 binary64)) (fma.f64 (+.f64 y #s(literal 2 binary64)) y (*.f64 (neg.f64 x) x))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (+.f64 y #s(literal 2 binary64)) y (*.f64 (neg.f64 x) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (+.f64 y #s(literal 2 binary64)) y (*.f64 (neg.f64 x) x))) (*.f64 (/.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 2 binary64)) y) #s(literal 2 binary64)) (fma.f64 (+.f64 y #s(literal 2 binary64)) y (*.f64 (neg.f64 x) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (+.f64 y #s(literal 2 binary64)) y (*.f64 (neg.f64 x) x))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 2 binary64)) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 2 binary64)) y) #s(literal 2 binary64)) (fma.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) (*.f64 (*.f64 (+.f64 y #s(literal 2 binary64)) y) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 3 binary64)) (*.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 2 binary64)) (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 #s(literal -2 binary64) y))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -2 binary64) y (*.f64 (neg.f64 x) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal -2 binary64) y (*.f64 (neg.f64 x) x)) (fma.f64 #s(literal -2 binary64) y (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 y y) (fma.f64 #s(literal -2 binary64) y (*.f64 (neg.f64 x) x)))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x x)) #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (-.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x x)) (-.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x x)) (*.f64 (*.f64 y y) (-.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x x)))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (neg.f64 (+.f64 y #s(literal 2 binary64))) y) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (neg.f64 (+.f64 y #s(literal 2 binary64))) y) (*.f64 (neg.f64 (+.f64 y #s(literal 2 binary64))) y) (*.f64 (*.f64 x x) (*.f64 (neg.f64 (+.f64 y #s(literal 2 binary64))) y))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (neg.f64 y) (+.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (neg.f64 y) (+.f64 y #s(literal 2 binary64))) (*.f64 (neg.f64 y) (+.f64 y #s(literal 2 binary64))) (*.f64 (*.f64 x x) (*.f64 (neg.f64 y) (+.f64 y #s(literal 2 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 x x (*.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (fma.f64 x x (*.f64 y #s(literal 2 binary64))) (fma.f64 x x (*.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (fma.f64 x x (*.f64 y #s(literal 2 binary64))) (*.f64 y y))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 2 binary64)) y) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 (+.f64 y #s(literal 2 binary64)) y)) (pow.f64 (*.f64 (+.f64 y #s(literal 2 binary64)) y) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 (+.f64 y #s(literal 2 binary64)) y)) (pow.f64 (*.f64 (+.f64 y #s(literal 2 binary64)) y) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 2 binary64)) y) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 (+.f64 y #s(literal 2 binary64)) y)) (pow.f64 (*.f64 (+.f64 y #s(literal 2 binary64)) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 2 binary64)) y) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 (+.f64 y #s(literal 2 binary64)) y)) (pow.f64 (*.f64 (+.f64 y #s(literal 2 binary64)) y) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 (+.f64 y #s(literal 2 binary64)) y)) (pow.f64 (*.f64 (+.f64 y #s(literal 2 binary64)) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 (+.f64 y #s(literal 2 binary64)) y)) (pow.f64 (*.f64 (+.f64 y #s(literal 2 binary64)) y) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 2 binary64)) y) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 (+.f64 y #s(literal 2 binary64)) y)) (pow.f64 (*.f64 (+.f64 y #s(literal 2 binary64)) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 (+.f64 y #s(literal 2 binary64)) y)) (pow.f64 (*.f64 (+.f64 y #s(literal 2 binary64)) y) #s(literal 2 binary64)))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 2 binary64)) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (neg.f64 x)) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 2 binary64)) y) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 (neg.f64 x)) x) (*.f64 (neg.f64 (neg.f64 x)) x)) (*.f64 (*.f64 (+.f64 y #s(literal 2 binary64)) y) (*.f64 (neg.f64 (neg.f64 x)) x))))) |
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 y y) (-.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (*.f64 y #s(literal 2 binary64)) (fma.f64 x x (*.f64 y y)))))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64))) (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 y #s(literal 2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 (neg.f64 x) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 (neg.f64 x) x))) (*.f64 (*.f64 y y) (-.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 (neg.f64 x) x)))))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (fma.f64 y #s(literal 2 binary64) (*.f64 x x)) #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) (*.f64 x x)) (fma.f64 y #s(literal 2 binary64) (*.f64 x x))) (*.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) (*.f64 x x)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 y #s(literal 2 binary64)) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 x x) (*.f64 (+.f64 y #s(literal 2 binary64)) y)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 2 binary64)) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y #s(literal 2 binary64)) y (*.f64 (neg.f64 x) x))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 2 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 (+.f64 y #s(literal 2 binary64)) y)) (pow.f64 (*.f64 (+.f64 y #s(literal 2 binary64)) y) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 2 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 2 binary64)) y) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (+.f64 y #s(literal 2 binary64)) y) (*.f64 (neg.f64 x) x)))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 y #s(literal 2 binary64)) y) #s(literal 2 binary64))) (-.f64 (*.f64 x x) (*.f64 (+.f64 y #s(literal 2 binary64)) y))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 2 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 2 binary64)) y) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (+.f64 y #s(literal 2 binary64)) y) (*.f64 (neg.f64 x) x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 2 binary64)) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (fma.f64 (+.f64 y #s(literal 2 binary64)) y (*.f64 (neg.f64 x) x)))) |
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(fma.f64 (pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 2 binary64)))) |
(fma.f64 (pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64)) (*.f64 y #s(literal 2 binary64))) |
(fma.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) y))) |
(fma.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 2 binary64)))) |
(fma.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64)) (*.f64 y #s(literal 2 binary64))) |
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) y))) |
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)) (+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 2 binary64)))) |
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)) (*.f64 y #s(literal 2 binary64))) |
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) y))) |
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 y) (+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 2 binary64)))) |
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 y) (*.f64 y #s(literal 2 binary64))) |
(fma.f64 (neg.f64 y) (neg.f64 (neg.f64 y)) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) y))) |
(fma.f64 (neg.f64 y) (neg.f64 (neg.f64 y)) (+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 2 binary64)))) |
(fma.f64 (neg.f64 y) (neg.f64 (neg.f64 y)) (*.f64 y #s(literal 2 binary64))) |
(fma.f64 (neg.f64 y) (neg.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) y))) |
(fma.f64 (neg.f64 y) (neg.f64 y) (+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 2 binary64)))) |
(fma.f64 (neg.f64 y) (neg.f64 y) (*.f64 y #s(literal 2 binary64))) |
(fma.f64 (neg.f64 y) y (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) y))) |
(fma.f64 (neg.f64 y) y (+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 2 binary64)))) |
(fma.f64 (neg.f64 y) y (*.f64 y #s(literal 2 binary64))) |
(fma.f64 (*.f64 y y) (/.f64 (neg.f64 y) (-.f64 y #s(literal 2 binary64))) (/.f64 (*.f64 (neg.f64 (*.f64 y #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64))) (*.f64 y (-.f64 y #s(literal 2 binary64))))) |
(fma.f64 (*.f64 y y) (/.f64 y (-.f64 y #s(literal 2 binary64))) (/.f64 (*.f64 (neg.f64 (*.f64 y #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64))) (*.f64 y (-.f64 y #s(literal 2 binary64))))) |
(fma.f64 (*.f64 y y) (/.f64 (neg.f64 y) (neg.f64 y)) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) y))) |
(fma.f64 (*.f64 y y) (/.f64 (neg.f64 y) (neg.f64 y)) (+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 2 binary64)))) |
(fma.f64 (*.f64 y y) (/.f64 (neg.f64 y) (neg.f64 y)) (*.f64 y #s(literal 2 binary64))) |
(fma.f64 (*.f64 y y) (/.f64 (neg.f64 y) y) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) y))) |
(fma.f64 (*.f64 y y) (/.f64 (neg.f64 y) y) (+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 2 binary64)))) |
(fma.f64 (*.f64 y y) (/.f64 (neg.f64 y) y) (*.f64 y #s(literal 2 binary64))) |
(fma.f64 (*.f64 y y) (/.f64 y (neg.f64 y)) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) y))) |
(fma.f64 (*.f64 y y) (/.f64 y (neg.f64 y)) (+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 2 binary64)))) |
(fma.f64 (*.f64 y y) (/.f64 y (neg.f64 y)) (*.f64 y #s(literal 2 binary64))) |
(fma.f64 (*.f64 y y) (/.f64 y y) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) y))) |
(fma.f64 (*.f64 y y) (/.f64 y y) (+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 2 binary64)))) |
(fma.f64 (*.f64 y y) (/.f64 y y) (*.f64 y #s(literal 2 binary64))) |
(fma.f64 (*.f64 y y) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) y))) |
(fma.f64 (*.f64 y y) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 2 binary64)))) |
(fma.f64 (*.f64 y y) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 y #s(literal 2 binary64))) |
(fma.f64 (*.f64 y y) (/.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) y))) |
(fma.f64 (*.f64 y y) (/.f64 (*.f64 y y) (*.f64 y y)) (+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 2 binary64)))) |
(fma.f64 (*.f64 y y) (/.f64 (*.f64 y y) (*.f64 y y)) (*.f64 y #s(literal 2 binary64))) |
(fma.f64 (+.f64 y #s(literal 2 binary64)) y #s(literal 0 binary64)) |
(fma.f64 y (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) y))) |
(fma.f64 y (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 2 binary64)))) |
(fma.f64 y (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 y #s(literal 2 binary64))) |
(fma.f64 y (/.f64 (*.f64 y y) (neg.f64 y)) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) y))) |
(fma.f64 y (/.f64 (*.f64 y y) (neg.f64 y)) (+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 2 binary64)))) |
(fma.f64 y (/.f64 (*.f64 y y) (neg.f64 y)) (*.f64 y #s(literal 2 binary64))) |
(fma.f64 y (/.f64 (*.f64 y y) (-.f64 y #s(literal 2 binary64))) (/.f64 (*.f64 (neg.f64 (*.f64 y #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64))) (*.f64 y (-.f64 y #s(literal 2 binary64))))) |
(fma.f64 y (-.f64 y #s(literal -2 binary64)) #s(literal 0 binary64)) |
(fma.f64 y (neg.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) y))) |
(fma.f64 y (neg.f64 y) (+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 2 binary64)))) |
(fma.f64 y (neg.f64 y) (*.f64 y #s(literal 2 binary64))) |
(fma.f64 y (+.f64 y #s(literal 2 binary64)) #s(literal 0 binary64)) |
(fma.f64 y y (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) y))) |
(fma.f64 y y (+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 2 binary64)))) |
(fma.f64 y y (*.f64 y #s(literal 2 binary64))) |
(fma.f64 y #s(literal 2 binary64) (*.f64 y y)) |
(fma.f64 #s(literal 2 binary64) y (*.f64 y y)) |
(-.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 2 binary64)) (*.f64 (*.f64 y y) (*.f64 #s(literal -2 binary64) y))))) (/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 2 binary64)) (*.f64 (*.f64 y y) (*.f64 #s(literal -2 binary64) y)))))) |
(-.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (*.f64 (+.f64 y #s(literal 2 binary64)) y)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 y #s(literal 2 binary64)) y))) |
(-.f64 (*.f64 (*.f64 y y) (/.f64 y (-.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 2 binary64)) (*.f64 y (-.f64 y #s(literal 2 binary64))))) |
(-.f64 (*.f64 (*.f64 y y) (/.f64 y (-.f64 y #s(literal 2 binary64)))) (*.f64 y (/.f64 #s(literal 4 binary64) (-.f64 y #s(literal 2 binary64))))) |
(-.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 y y)) |
(-.f64 (*.f64 y y) (*.f64 (neg.f64 y) #s(literal 2 binary64))) |
(-.f64 (*.f64 y y) (*.f64 #s(literal -2 binary64) y)) |
(+.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 y y) (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 y y) (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)))))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 y y) (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64))))) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 y y) (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)))))) |
(+.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) (*.f64 y y)) |
(+.f64 (fma.f64 y y y) y) |
(+.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 (+.f64 y #s(literal 2 binary64)) y) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 (+.f64 y #s(literal 2 binary64)) y) (pow.f64 y #s(literal 4 binary64))))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 (+.f64 y #s(literal 2 binary64)) y) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 (+.f64 y #s(literal 2 binary64)) y) (pow.f64 y #s(literal 4 binary64))))) |
(+.f64 (*.f64 (*.f64 y y) (/.f64 y (-.f64 y #s(literal 2 binary64)))) (/.f64 (*.f64 (neg.f64 (*.f64 y #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64))) (*.f64 y (-.f64 y #s(literal 2 binary64))))) |
(+.f64 (*.f64 (+.f64 y #s(literal 2 binary64)) y) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (*.f64 (+.f64 y #s(literal 2 binary64)) y)) |
(+.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 y y)) |
(+.f64 (*.f64 y y) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) y))) |
(+.f64 (*.f64 y y) (+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 2 binary64)))) |
(+.f64 (*.f64 y y) (*.f64 y #s(literal 2 binary64))) |
(+.f64 y (+.f64 y (*.f64 y y))) |
Compiled 24 546 to 2 015 computations (91.8% saved)
12 alts after pruning (4 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 891 | 3 | 894 |
| Fresh | 0 | 1 | 1 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 5 | 5 |
| Total | 893 | 12 | 905 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 71.5% | (fma.f64 (+.f64 #s(literal 2 binary64) y) y (*.f64 x x)) |
| 52.4% | (fma.f64 #s(approx (+ 2 y) #s(literal 2 binary64)) y (*.f64 x x)) | |
| ✓ | 55.0% | (fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y))) |
| 14.1% | (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) (fma.f64 x x (*.f64 #s(literal -3 binary64) (*.f64 y y)))) #s(approx (- (* x x) (+ (* y y) (* 2 (* y y)))) (*.f64 #s(literal -3 binary64) (*.f64 y y)))) | |
| ✓ | 99.9% | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))) |
| ✓ | 30.8% | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) y) y)) |
| ✓ | 55.0% | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) |
| 38.2% | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 y y)) | |
| ✓ | 61.1% | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) |
| ✓ | 55.0% | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y))) |
| ✓ | 83.4% | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* (* 3 y) y) (* x x)) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x)))) |
| 6.1% | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (+.f64 y y))) |
Compiled 702 to 221 computations (68.5% saved)
| Inputs |
|---|
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (+.f64 y y))) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (*.f64 #s(literal 2 binary64) y))) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 y y)) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fabs.f64 (fma.f64 y y #s(literal 0 binary64)))) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.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)) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y y (*.f64 #s(literal 2 binary64) y))) |
(fma.f64 #s(approx (+ 2 y) #s(literal 2 binary64)) y (*.f64 x x)) |
(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y))) |
(fma.f64 (+.f64 #s(literal 2 binary64) y) y (*.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))) |
(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)) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* (* 3 y) y) (* x x)) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) (fma.f64 x x (*.f64 #s(literal -3 binary64) (*.f64 y y)))) #s(approx (- (* x x) (+ (* y y) (* 2 (* y y)))) (*.f64 #s(literal -3 binary64) (*.f64 y y)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) (fma.f64 x x (*.f64 #s(literal -3 binary64) (*.f64 y y)))) (-.f64 (*.f64 x x) (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y))))) |
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (sqrt.f64 (pow.f64 y #s(literal 4 binary64)))) (*.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))))) |
| Outputs |
|---|
(fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x))) |
5 calls:
| 7.0ms | y |
| 6.0ms | x |
| 5.0ms | (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) |
| 5.0ms | (*.f64 x x) |
| 5.0ms | (*.f64 y y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) |
| 100.0% | 1 | (*.f64 x x) |
| 100.0% | 1 | (*.f64 y y) |
Compiled 23 to 17 computations (26.1% saved)
| Inputs |
|---|
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (+.f64 y y))) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (*.f64 #s(literal 2 binary64) y))) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 y y)) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fabs.f64 (fma.f64 y y #s(literal 0 binary64)))) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.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)) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y y (*.f64 #s(literal 2 binary64) y))) |
(fma.f64 #s(approx (+ 2 y) #s(literal 2 binary64)) y (*.f64 x x)) |
(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y))) |
(fma.f64 (+.f64 #s(literal 2 binary64) y) y (*.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))) |
| 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:
| 4.0ms | (*.f64 x x) |
| 4.0ms | x |
| 4.0ms | y |
| 4.0ms | (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) |
| 4.0ms | (*.f64 y y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) |
| 99.9% | 1 | (*.f64 x x) |
| 99.9% | 1 | (*.f64 y y) |
Compiled 23 to 17 computations (26.1% saved)
| Inputs |
|---|
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (+.f64 y y))) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (*.f64 #s(literal 2 binary64) y))) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 y y)) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fabs.f64 (fma.f64 y y #s(literal 0 binary64)))) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.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)) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y y (*.f64 #s(literal 2 binary64) y))) |
(fma.f64 #s(approx (+ 2 y) #s(literal 2 binary64)) y (*.f64 x x)) |
(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y))) |
(fma.f64 (+.f64 #s(literal 2 binary64) y) y (*.f64 x x)) |
| Outputs |
|---|
(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y))) |
(fma.f64 (+.f64 #s(literal 2 binary64) y) y (*.f64 x x)) |
5 calls:
| 5.0ms | (*.f64 x x) |
| 4.0ms | x |
| 4.0ms | y |
| 4.0ms | (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) |
| 3.0ms | (*.f64 y y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.1% | 2 | x |
| 86.0% | 2 | y |
| 86.1% | 3 | (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) |
| 90.1% | 2 | (*.f64 x x) |
| 86.0% | 2 | (*.f64 y y) |
Compiled 23 to 17 computations (26.1% saved)
| Inputs |
|---|
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (+.f64 y y))) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (*.f64 #s(literal 2 binary64) y))) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 y y)) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fabs.f64 (fma.f64 y y #s(literal 0 binary64)))) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.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)) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y y (*.f64 #s(literal 2 binary64) y))) |
(fma.f64 #s(approx (+ 2 y) #s(literal 2 binary64)) y (*.f64 x x)) |
(fma.f64 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 x x)) |
(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y))) |
4 calls:
| 4.0ms | x |
| 4.0ms | y |
| 3.0ms | (*.f64 x x) |
| 3.0ms | (*.f64 y y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.0% | 2 | y |
| 86.0% | 2 | (*.f64 y y) |
| 84.0% | 2 | x |
| 84.0% | 2 | (*.f64 x x) |
Compiled 8 to 10 computations (-25% saved)
| Inputs |
|---|
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (+.f64 y y))) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (*.f64 #s(literal 2 binary64) y))) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 y y)) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fabs.f64 (fma.f64 y y #s(literal 0 binary64)))) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.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)) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y y (*.f64 #s(literal 2 binary64) y))) |
(fma.f64 #s(approx (+ 2 y) #s(literal 2 binary64)) y (*.f64 x x)) |
| Outputs |
|---|
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y))) |
2 calls:
| 3.0ms | y |
| 3.0ms | (*.f64 y y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.0% | 2 | y |
| 86.0% | 2 | (*.f64 y y) |
Compiled 4 to 5 computations (-25% saved)
| Inputs |
|---|
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (+.f64 y y))) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (*.f64 #s(literal 2 binary64) y))) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 y y)) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fabs.f64 (fma.f64 y y #s(literal 0 binary64)))) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) y) y)) |
| Outputs |
|---|
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 y y)) |
5 calls:
| 3.0ms | (*.f64 y y) |
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) |
| 2.0ms | (*.f64 x x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.1% | 2 | x |
| 69.1% | 2 | (*.f64 x x) |
| 61.1% | 1 | (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) |
| 80.0% | 2 | y |
| 80.0% | 2 | (*.f64 y y) |
Compiled 23 to 17 computations (26.1% saved)
| Inputs |
|---|
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (+.f64 y y))) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (*.f64 #s(literal 2 binary64) y))) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) |
| Outputs |
|---|
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) |
4 calls:
| 2.0ms | x |
| 2.0ms | y |
| 1.0ms | (*.f64 y y) |
| 1.0ms | (*.f64 x x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.1% | 1 | x |
| 61.1% | 1 | (*.f64 x x) |
| 61.1% | 1 | y |
| 61.1% | 1 | (*.f64 y y) |
Compiled 8 to 10 computations (-25% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (+.f64 y y))) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (*.f64 #s(literal 2 binary64) y))) |
| Outputs |
|---|
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (+.f64 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 x x) |
| 1.0ms | (*.f64 y y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 6.1% | 1 | x |
| 6.1% | 1 | (*.f64 x x) |
| 6.1% | 1 | (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) |
| 6.1% | 1 | (*.f64 y y) |
| 6.1% | 1 | y |
Compiled 23 to 17 computations (26.1% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 9.0ms | 5.633513376764953e-90 | 7.007359790549131e-88 |
| 5.0ms | 112× | 0 | valid |
Compiled 172 to 124 computations (27.9% saved)
ival-add: 1.0ms (43.9% of total)ival-mult: 1.0ms (43.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 7.572072848359377e-30 | 1.9365454536335775e-10 |
Compiled 14 to 12 computations (14.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 7.572072848359377e-30 | 1.9365454536335775e-10 |
Compiled 14 to 12 computations (14.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.3287680957808258e+303 | +inf |
Compiled 14 to 12 computations (14.3% saved)
| 1× | egg-herbie |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 240 |
| 1 | 70 | 224 |
| 2 | 173 | 208 |
| 3 | 427 | 208 |
| 4 | 829 | 208 |
| 5 | 1238 | 208 |
| 6 | 2240 | 208 |
| 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 #s(literal 3 binary64) y) y (*.f64 x x))) |
(if (<=.f64 (*.f64 x x) #s(literal 5733746539975179/286687326998758938951352611912760867599570623646035140467198604923365359511060601008752319138765710819328 binary64)) (fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y))) (fma.f64 (+.f64 #s(literal 2 binary64) y) y (*.f64 x x))) |
(if (<=.f64 (*.f64 y y) #s(literal 7136238463529799/713623846352979940529142984724747568191373312 binary64)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) (fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))) |
(if (<=.f64 (*.f64 y y) #s(literal 7136238463529799/713623846352979940529142984724747568191373312 binary64)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))) |
(if (<=.f64 (*.f64 y y) #s(literal 4000000000000000000647060307145825752850674584926637753181980068404469996902954991461040972136855661015119094272721349664109783282271116798573566166424104274444602984489139904709026600176802109107229308270761848450645710000788204905959593042715053565797504354189169283256511829945322621875676489053110272 binary64)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 y y))) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (+.f64 y y))) |
| 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 #s(literal 3 binary64) y) y (*.f64 x x))) |
(if (<=.f64 (*.f64 x x) #s(literal 5733746539975179/286687326998758938951352611912760867599570623646035140467198604923365359511060601008752319138765710819328 binary64)) (fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y))) (fma.f64 (+.f64 #s(literal 2 binary64) y) y (*.f64 x x))) |
(if (<=.f64 (*.f64 y y) #s(literal 7136238463529799/713623846352979940529142984724747568191373312 binary64)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) (fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))) |
(if (<=.f64 (*.f64 y y) #s(literal 7136238463529799/713623846352979940529142984724747568191373312 binary64)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))) |
(if (<=.f64 (*.f64 y y) #s(literal 4000000000000000000647060307145825752850674584926637753181980068404469996902954991461040972136855661015119094272721349664109783282271116798573566166424104274444602984489139904709026600176802109107229308270761848450645710000788204905959593042715053565797504354189169283256511829945322621875676489053110272 binary64)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 y y))) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (+.f64 y y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 151 | 827 |
| 1 | 509 | 651 |
| 2 | 2464 | 578 |
| 0 | 9332 | 543 |
| 0 | 7 | 39 |
| 0 | 12 | 39 |
| 1 | 66 | 35 |
| 2 | 720 | 35 |
| 0 | 9413 | 31 |
| 0 | 23 | 130 |
| 0 | 30 | 122 |
| 1 | 150 | 113 |
| 2 | 1686 | 113 |
| 0 | 8770 | 105 |
| 0 | 65 | 302 |
| 1 | 190 | 290 |
| 2 | 630 | 278 |
| 3 | 4144 | 278 |
| 0 | 8553 | 262 |
| 0 | 40 | 264 |
| 0 | 66 | 245 |
| 1 | 283 | 199 |
| 2 | 2819 | 199 |
| 0 | 10120 | 190 |
| 0 | 30 | 121 |
| 1 | 93 | 105 |
| 2 | 321 | 105 |
| 3 | 2169 | 105 |
| 0 | 8459 | 95 |
| 0 | 32 | 218 |
| 0 | 54 | 136 |
| 1 | 267 | 130 |
| 2 | 2307 | 130 |
| 0 | 8617 | 128 |
| 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× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 526 to 220 computations (58.2% saved)
(abs x)
(abs y)
Compiled 580 to 134 computations (76.9% saved)
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