
Time bar (total: 5.6s)
| 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)
| 461.0ms | 8 256× | 0 | valid |
ival-mult: 133.0ms (52.3% of total)ival-add: 113.0ms (44.4% of total)ival-true: 6.0ms (2.4% of total)ival-assert: 3.0ms (1.2% 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 |
| 27.0ms | 512× | 0 | valid |
Compiled 142 to 32 computations (77.5% saved)
ival-mult: 8.0ms (55.5% of total)ival-add: 6.0ms (41.6% 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 | 64 | 67 |
| 2 | 171 | 47 |
| 3 | 531 | 45 |
| 4 | 1121 | 45 |
| 5 | 1337 | 45 |
| 6 | 1348 | 45 |
| 0 | 7 | 15 |
| 0 | 12 | 15 |
| 1 | 18 | 13 |
| 2 | 28 | 9 |
| 3 | 40 | 9 |
| 4 | 48 | 9 |
| 5 | 51 | 9 |
| 0 | 51 | 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 | 128 | (+.f64 (*.f64 x x) (*.f64 y y)) | |
| cost-diff | 192 | (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) | |
| cost-diff | 512 | (+.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 | 18 | 37 |
| 2 | 28 | 33 |
| 3 | 40 | 33 |
| 4 | 48 | 33 |
| 5 | 51 | 33 |
| 0 | 51 | 30 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) |
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) |
(+.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 x x) |
x |
(*.f64 y y) |
y |
| Outputs |
|---|
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) |
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x)) |
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) |
(fma.f64 #s(literal 2 binary64) (*.f64 y y) (*.f64 x x)) |
(+.f64 (*.f64 x x) (*.f64 y y)) |
(fma.f64 y y (*.f64 x x)) |
(*.f64 x x) |
x |
(*.f64 y y) |
y |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 y y) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.0078125 | (+.f64 (*.f64 x x) (*.f64 y y)) | |
| accuracy | 0.06640625 | (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) |
| 12.0ms | 256× | 0 | valid |
Compiled 84 to 16 computations (81% saved)
ival-add: 3.0ms (46.4% of total)ival-mult: 3.0ms (46.4% 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 | |
|---|---|---|---|---|
| 44.0ms | y | @ | 0 | ((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y)) (+ (* x x) (* y y)) (* x x) (* y y)) |
| 2.0ms | 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 | 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 | @ | -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 | 86 | 105 |
| 2 | 215 | 105 |
| 3 | 851 | 105 |
| 4 | 2006 | 105 |
| 5 | 2640 | 105 |
| 6 | 4156 | 105 |
| 7 | 5632 | 105 |
| 8 | 6621 | 105 |
| 9 | 7899 | 105 |
| 0 | 8020 | 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 #s(literal 3 binary64) (*.f64 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 #s(literal 3 binary64) (*.f64 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 #s(literal 3 binary64) (*.f64 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 #s(literal 3 binary64) (*.f64 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 | 54 | 35 |
| 2 | 517 | 29 |
| 3 | 7670 | 29 |
| 0 | 8277 | 26 |
| 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 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x)) (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (-.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 4 binary64)) (pow.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (neg.f64 (fma.f64 y y (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 6 binary64)))) (fma.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (-.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))) (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))) |
(*.f64 (-.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 y y)))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y y (*.f64 x x))))) |
(*.f64 (pow.f64 (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))) |
(*.f64 (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 y y (*.f64 x x))) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64))))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))) (pow.f64 y #s(literal 4 binary64)))))) |
(*.f64 (-.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))) (pow.f64 y #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))) (pow.f64 y #s(literal 4 binary64))))) |
(*.f64 (fma.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x)) (pow.f64 (fma.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(*.f64 (+.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (fma.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x)) (/.f64 (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))))) |
(*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x)) (*.f64 (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))) (pow.f64 (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))) #s(literal -1 binary64)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))) #s(literal -1 binary64))) (+.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 6 binary64)) (pow.f64 y #s(literal 12 binary64))) (pow.f64 (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))) #s(literal -1 binary64))) (+.f64 (fma.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 4 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 6 binary64)) (pow.f64 y #s(literal 12 binary64))) (pow.f64 (fma.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))) (-.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 9 binary64)) (pow.f64 y #s(literal 18 binary64))) (pow.f64 (fma.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))) (fma.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64))) (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 6 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (fma.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))) (pow.f64 y #s(literal 4 binary64)))) |
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(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.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)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (-.f64 x y) (+.f64 y x))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (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 (neg.f64 (fma.f64 y y (*.f64 x x)))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (*.f64 (fma.f64 y y (*.f64 x x)) y) y (pow.f64 x #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x))))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 y y (*.f64 x x)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x))))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y x)) (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x))))) |
(fma.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (*.f64 x x) (-.f64 x y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x))))) |
(fma.f64 (/.f64 x (+.f64 y x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y 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 y y)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 x (*.f64 (-.f64 x y) (+.f64 y x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x))))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x))))) |
(fma.f64 y y (*.f64 x x)) |
(fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 (-.f64 x y) (+.f64 y x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x))))) |
(fma.f64 x (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (-.f64 x y) (+.f64 y x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x))))) |
(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 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x))))) |
(+.f64 (*.f64 y y) (*.f64 x x)) |
(+.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 x x) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y))) |
(*.f64 y y) |
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 1 binary64)) |
(pow.f64 y #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
Compiled 10 037 to 1 079 computations (89.2% saved)
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 349 | 7 | 356 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 350 | 7 | 357 |
| Status | Accuracy | Program |
|---|---|---|
| 19.2% | (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 y y (*.f64 x x))) | |
| ▶ | 100.0% | (fma.f64 (*.f64 #s(literal 2 binary64) y) y (fma.f64 y y (*.f64 x x))) |
| ▶ | 99.9% | (fma.f64 y (fma.f64 #s(literal 2 binary64) y y) (*.f64 x x)) |
| ▶ | 99.9% | (fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x)) |
| 26.1% | (+.f64 (fma.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (-.f64 y x))) (*.f64 y y)) (*.f64 y y)) | |
| ▶ | 98.4% | (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))) |
| ▶ | 57.9% | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y))) |
Compiled 218 to 140 computations (35.8% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 128 | (+.f64 (*.f64 x x) (*.f64 y y)) | |
| cost-diff | 192 | (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) | |
| cost-diff | 512 | (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))) | |
| cost-diff | 12800 | (exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 y (fma.f64 #s(literal 2 binary64) y y) (*.f64 x x)) | |
| cost-diff | 64 | (fma.f64 #s(literal 2 binary64) y y) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (fma.f64 #s(literal 3 binary64) (*.f64 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 #s(literal 2 binary64) y) | |
| cost-diff | 384 | (fma.f64 (*.f64 #s(literal 2 binary64) y) y (fma.f64 y y (*.f64 x x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 148 |
| 0 | 41 | 129 |
| 1 | 70 | 122 |
| 2 | 94 | 122 |
| 3 | 98 | 122 |
| 0 | 98 | 121 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (fma.f64 y y (*.f64 x x))) |
(*.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
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 |
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x)) |
#s(literal 3 binary64) |
(*.f64 y y) |
y |
(*.f64 x x) |
x |
(fma.f64 y (fma.f64 #s(literal 2 binary64) y y) (*.f64 x x)) |
y |
(fma.f64 #s(literal 2 binary64) y y) |
#s(literal 2 binary64) |
(*.f64 x x) |
x |
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))) |
(+.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 |
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
(*.f64 (log.f64 y) #s(literal 2 binary64)) |
(log.f64 y) |
#s(literal 2 binary64) |
| Outputs |
|---|
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (fma.f64 y y (*.f64 x x))) |
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) |
(*.f64 #s(literal 2 binary64) y) |
(*.f64 y #s(literal 2 binary64)) |
#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 y y) #s(literal 3 binary64))) |
(*.f64 #s(literal 3 binary64) (*.f64 y y)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(*.f64 y y) |
y |
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x)) |
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) |
#s(literal 3 binary64) |
(*.f64 y y) |
y |
(*.f64 x x) |
x |
(fma.f64 y (fma.f64 #s(literal 2 binary64) y y) (*.f64 x x)) |
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) |
y |
(fma.f64 #s(literal 2 binary64) y y) |
(*.f64 #s(literal 3 binary64) y) |
#s(literal 2 binary64) |
(*.f64 x x) |
x |
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) |
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) |
(fma.f64 (*.f64 y y) #s(literal 2 binary64) (*.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 |
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
(*.f64 y y) |
(*.f64 (log.f64 y) #s(literal 2 binary64)) |
(log.f64 y) |
#s(literal 2 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (log.f64 y) | |
| accuracy | 0.0078125 | (+.f64 (*.f64 x x) (*.f64 y y)) | |
| accuracy | 0.06640625 | (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))) | |
| accuracy | 3.0289921922099183 | (exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) | |
| accuracy | 0.0 | (fma.f64 #s(literal 2 binary64) y y) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.0546875 | (fma.f64 y (fma.f64 #s(literal 2 binary64) y y) (*.f64 x x)) | |
| accuracy | 0.0 | (*.f64 y y) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.0625 | (fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x)) | |
| accuracy | 0.0 | (*.f64 y y) | |
| accuracy | 0.14453125 | (*.f64 #s(literal 3 binary64) (*.f64 y y)) | |
| accuracy | 26.854623636571485 | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y))) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.0 | (*.f64 #s(literal 2 binary64) y) | |
| accuracy | 0.0078125 | (fma.f64 y y (*.f64 x x)) | |
| accuracy | 0.0390625 | (fma.f64 (*.f64 #s(literal 2 binary64) y) y (fma.f64 y y (*.f64 x x))) |
| 59.0ms | 256× | 0 | valid |
Compiled 299 to 49 computations (83.6% saved)
ival-mult: 29.0ms (65% of total)ival-add: 9.0ms (20.2% of total)ival-log: 3.0ms (6.7% of total)ival-exp: 3.0ms (6.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (fma.f64 y y (*.f64 x x))) |
(*.f64 #s(literal 2 binary64) 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) |
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x)) |
(fma.f64 #s(literal 2 binary64) y y) |
(fma.f64 y (fma.f64 #s(literal 2 binary64) y y) (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))) |
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) |
(+.f64 (*.f64 x x) (*.f64 y y)) |
(log.f64 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)) |
(* y (+ y (* 2 y))) |
(+ (* y (+ y (* 2 y))) (pow x 2)) |
(* 2 (pow y 2)) |
(+ (* 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 (/ (pow y 2) (pow x 2)))) |
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (/ (* y (+ y (* 2 y))) (pow x 2)))) |
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2))))) |
(* 2 y) |
(* 3 y) |
(log y) |
(* (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)))) |
(* -1 (log (/ 1 y))) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 64.0ms | y | @ | 0 | ((+ (* (* 2 y) y) (+ (* y y) (* x x))) (* 2 y) (+ (* y y) (* x x)) (* x x) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (* y y)) (* y y) (+ (* 3 (* y y)) (* x x)) (+ (* 2 y) y) (+ (* y (+ (* 2 y) y)) (* x x)) (exp (* (log y) 2)) (+ (+ (+ (* x x) (* y y)) (* y y)) (exp (* (log y) 2))) (+ (+ (* x x) (* y y)) (* y y)) (+ (* x x) (* y y)) (log y)) |
| 63.0ms | y | @ | -inf | ((+ (* (* 2 y) y) (+ (* y y) (* x x))) (* 2 y) (+ (* y y) (* x x)) (* x x) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (* y y)) (* y y) (+ (* 3 (* y y)) (* x x)) (+ (* 2 y) y) (+ (* y (+ (* 2 y) y)) (* x x)) (exp (* (log y) 2)) (+ (+ (+ (* x x) (* y y)) (* y y)) (exp (* (log y) 2))) (+ (+ (* x x) (* y y)) (* y y)) (+ (* x x) (* y y)) (log y)) |
| 7.0ms | y | @ | inf | ((+ (* (* 2 y) y) (+ (* y y) (* x x))) (* 2 y) (+ (* y y) (* x x)) (* x x) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (* y y)) (* y y) (+ (* 3 (* y y)) (* x x)) (+ (* 2 y) y) (+ (* y (+ (* 2 y) y)) (* x x)) (exp (* (log y) 2)) (+ (+ (+ (* x x) (* y y)) (* y y)) (exp (* (log y) 2))) (+ (+ (* x x) (* y y)) (* y y)) (+ (* x x) (* y y)) (log y)) |
| 1.0ms | x | @ | 0 | ((+ (* (* 2 y) y) (+ (* y y) (* x x))) (* 2 y) (+ (* y y) (* x x)) (* x x) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (* y y)) (* y y) (+ (* 3 (* y y)) (* x x)) (+ (* 2 y) y) (+ (* y (+ (* 2 y) y)) (* x x)) (exp (* (log y) 2)) (+ (+ (+ (* x x) (* y y)) (* y y)) (exp (* (log y) 2))) (+ (+ (* x x) (* y y)) (* y y)) (+ (* x x) (* y y)) (log y)) |
| 1.0ms | x | @ | inf | ((+ (* (* 2 y) y) (+ (* y y) (* x x))) (* 2 y) (+ (* y y) (* x x)) (* x x) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (* y y)) (* y y) (+ (* 3 (* y y)) (* x x)) (+ (* 2 y) y) (+ (* y (+ (* 2 y) y)) (* x x)) (exp (* (log y) 2)) (+ (+ (+ (* x x) (* y y)) (* y y)) (exp (* (log y) 2))) (+ (+ (* x x) (* y y)) (* y y)) (+ (* x x) (* y y)) (log y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 183 |
| 1 | 136 | 154 |
| 2 | 311 | 154 |
| 3 | 1082 | 154 |
| 4 | 2482 | 154 |
| 5 | 3224 | 154 |
| 6 | 5220 | 154 |
| 7 | 7159 | 154 |
| 0 | 8107 | 141 |
| 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)) |
(* y (+ y (* 2 y))) |
(+ (* y (+ y (* 2 y))) (pow x 2)) |
(* 2 (pow y 2)) |
(+ (* 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 (/ (pow y 2) (pow x 2)))) |
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (/ (* y (+ y (* 2 y))) (pow x 2)))) |
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2))))) |
(* 2 y) |
(* 3 y) |
(log y) |
(* (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)))) |
(* -1 (log (/ 1 y))) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
| 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)) |
(* y (+ y (* 2 y))) |
(*.f64 #s(literal 3 binary64) (*.f64 y y)) |
(+ (* y (+ y (* 2 y))) (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 #s(literal 2 binary64) y) y (*.f64 x x)) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(fma.f64 x x (*.f64 y y)) |
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) |
(* (pow x 2) (+ 1 (/ (* y (+ y (* 2 y))) (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 #s(literal 2 binary64) y) y (*.f64 x x)) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(log y) |
(log.f64 y) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(fma.f64 x x (*.f64 y y)) |
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (*.f64 x x)) |
(* -1 (log (/ 1 y))) |
(log.f64 y) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 115 |
| 0 | 41 | 96 |
| 1 | 159 | 89 |
| 2 | 1197 | 87 |
| 0 | 8481 | 86 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (fma.f64 y y (*.f64 x x))) |
(*.f64 #s(literal 2 binary64) 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) |
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x)) |
(fma.f64 #s(literal 2 binary64) y y) |
(fma.f64 y (fma.f64 #s(literal 2 binary64) y y) (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))) |
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) |
(+.f64 (*.f64 x x) (*.f64 y y)) |
(log.f64 y) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x (*.f64 y y)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) #s(literal 3 binary64))))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 y y) (-.f64 (*.f64 y y) (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)))))) |
(*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 x x (*.f64 y y)))))) |
(*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 (neg.f64 x) x))))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 12 binary64)) (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 (fma.f64 x x (*.f64 y y)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))) |
(*.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 2 binary64))) (pow.f64 (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 x x (*.f64 y y))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 (neg.f64 x) x)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 x x (*.f64 y y))))))) |
(*.f64 (+.f64 (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (pow.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 12 binary64)) (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 (fma.f64 x x (*.f64 y y)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 y y)))))) |
(*.f64 (+.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (fma.f64 (*.f64 y y) (-.f64 (*.f64 y y) (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))) |
(*.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))) (/.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))) (*.f64 (/.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 x x (*.f64 y y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 x x (*.f64 y y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 x x (*.f64 y y)))) (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 x x (*.f64 y y)))) (fma.f64 (/.f64 (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 x x (*.f64 y y)))) (/.f64 (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 x x (*.f64 y y)))) (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 x x (*.f64 y y)))) (/.f64 (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 x x (*.f64 y y)))))))) |
(/.f64 (-.f64 (pow.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))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 (neg.f64 x) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 (neg.f64 x) x))) (/.f64 (*.f64 #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))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 (neg.f64 x) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 (neg.f64 x) x))) (*.f64 (/.f64 (*.f64 #s(literal 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 (neg.f64 (-.f64 (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) #s(literal 3 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 y y) (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 (neg.f64 (fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 y y) (-.f64 (*.f64 y y) (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 x x (*.f64 y y)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 (neg.f64 x) x))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 12 binary64)) (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 (fma.f64 x x (*.f64 y y)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))) (*.f64 (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))) (pow.f64 y #s(literal 4 binary64)))) (*.f64 (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 x x (*.f64 y y)))) (*.f64 (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 x x (*.f64 y y))) (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 2 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 x x (*.f64 y y))) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 x x (*.f64 y y))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 (neg.f64 x) x))) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 (neg.f64 x) x)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 (neg.f64 x) x)))) |
(/.f64 (fma.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 #s(literal 0 binary64) (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))) (*.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y))))) |
(/.f64 (fma.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x))) (*.f64 #s(literal 0 binary64) (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x))))) |
(/.f64 (fma.f64 #s(literal 0 binary64) (neg.f64 (+.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 #s(literal 0 binary64) (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))))) (*.f64 #s(literal 0 binary64) (neg.f64 (+.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 (fma.f64 #s(literal 0 binary64) (neg.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 0 binary64) (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))))) (*.f64 #s(literal 0 binary64) (neg.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)))))) |
(/.f64 (fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y y))) #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y y))))) |
(/.f64 (fma.f64 #s(literal 0 binary64) (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 #s(literal 0 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))) (*.f64 #s(literal 0 binary64) (*.f64 (+.f64 x y) (-.f64 x y)))) |
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(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y y))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 y x) (-.f64 y x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 y x) (-.f64 y x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 y x) (-.f64 y x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 y x) (-.f64 y x))) (fma.f64 (/.f64 (pow.f64 x #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 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 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (neg.f64 (+.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 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (neg.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 (*.f64 (+.f64 x y) (-.f64 x y)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 y x) (-.f64 y x))) (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(literal 2 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y y))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.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 (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y y))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y y)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (+.f64 x y) (-.f64 x y))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (+.f64 y x) (-.f64 y x))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (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 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 x y)) (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))))) |
(fma.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (/.f64 (*.f64 x x) (-.f64 x y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))))) |
(fma.f64 (/.f64 x (+.f64 x y)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))))) |
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 y x)) (/.f64 y (-.f64 y x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 y x) (-.f64 y x))))) |
(fma.f64 (/.f64 (*.f64 y y) (+.f64 y x)) (/.f64 (*.f64 y y) (-.f64 y x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 y x) (-.f64 y x))))) |
(fma.f64 (/.f64 y (+.f64 y x)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 y x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 y x) (-.f64 y x))))) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 y y)) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 y x) (-.f64 y x))))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 x y) (-.f64 x y)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))))) |
(fma.f64 x x (*.f64 y y)) |
(fma.f64 y y (*.f64 x x)) |
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x 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 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 y x) (-.f64 y x))))) |
(+.f64 (*.f64 y y) (*.f64 x x)) |
(+.f64 (*.f64 x x) (*.f64 y y)) |
(log.f64 y) |
Compiled 12 026 to 1 260 computations (89.5% saved)
7 alts after pruning (5 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 450 | 5 | 455 |
| Fresh | 2 | 0 | 2 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 455 | 7 | 462 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 52.4% | (fma.f64 (*.f64 #s(literal 2 binary64) y) y (fma.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (/.f64 (*.f64 x x) (-.f64 x y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y)))))) |
| ▶ | 39.1% | (fma.f64 y (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 (*.f64 y #s(literal 2 binary64)) y)) (*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) y) (*.f64 y y))) (*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) y) (-.f64 (*.f64 y #s(literal 2 binary64)) y))) (*.f64 x x)) |
| ✓ | 99.9% | (fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x)) |
| ▶ | 58.0% | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y))) |
| ▶ | 57.9% | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)))) |
| ▶ | 58.0% | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) |
| ✓ | 57.9% | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y))) |
Compiled 305 to 149 computations (51.1% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (*.f64 x x) (+.f64 x y)) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) y) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(literal 2 binary64) y) y (fma.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (/.f64 (*.f64 x x) (-.f64 x y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y)))))) | |
| cost-diff | 128 | (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y)))) | |
| cost-diff | 0 | (fma.f64 y (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 (*.f64 y #s(literal 2 binary64)) y)) (*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) y) (*.f64 y y))) (*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) y) (-.f64 (*.f64 y #s(literal 2 binary64)) y))) (*.f64 x x)) | |
| cost-diff | 512 | (-.f64 (*.f64 y #s(literal 2 binary64)) y) | |
| cost-diff | 6656 | (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 (*.f64 y #s(literal 2 binary64)) y)) (*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) y) (*.f64 y y))) | |
| cost-diff | 7488 | (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 (*.f64 y #s(literal 2 binary64)) y)) (*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) y) (*.f64 y y))) (*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) y) (-.f64 (*.f64 y #s(literal 2 binary64)) y))) | |
| cost-diff | 0 | (*.f64 #s(literal 3 binary64) y) | |
| cost-diff | 0 | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)))) | |
| cost-diff | 320 | (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)) | |
| cost-diff | 768 | (/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 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 | -128 | (+.f64 y y) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y))) | |
| cost-diff | 384 | (fma.f64 y (+.f64 y y) (*.f64 y y)) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 379 |
| 0 | 75 | 331 |
| 1 | 154 | 295 |
| 2 | 365 | 267 |
| 3 | 1280 | 241 |
| 4 | 5541 | 237 |
| 0 | 8305 | 237 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y))) |
(fma.f64 y (+.f64 y y) (*.f64 y y)) |
y |
(+.f64 y y) |
(*.f64 y y) |
#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)) (/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)))) |
(/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y))) |
y |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)) |
#s(literal 1 binary64) |
(*.f64 #s(literal 3 binary64) y) |
#s(literal 3 binary64) |
(fma.f64 y (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 (*.f64 y #s(literal 2 binary64)) y)) (*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) y) (*.f64 y y))) (*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) y) (-.f64 (*.f64 y #s(literal 2 binary64)) y))) (*.f64 x x)) |
y |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 (*.f64 y #s(literal 2 binary64)) y)) (*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) y) (*.f64 y y))) (*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) y) (-.f64 (*.f64 y #s(literal 2 binary64)) y))) |
(-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 (*.f64 y #s(literal 2 binary64)) y)) (*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) y) (*.f64 y y))) |
(*.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 (*.f64 y #s(literal 2 binary64)) y)) |
(*.f64 #s(literal 4 binary64) (*.f64 y y)) |
#s(literal 4 binary64) |
(*.f64 y y) |
(-.f64 (*.f64 y #s(literal 2 binary64)) y) |
(*.f64 y #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) y) (*.f64 y y)) |
(*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) y) (-.f64 (*.f64 y #s(literal 2 binary64)) y)) |
(*.f64 x x) |
x |
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (fma.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (/.f64 (*.f64 x x) (-.f64 x y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y)))))) |
(*.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
y |
(fma.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (/.f64 (*.f64 x x) (-.f64 x y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))))) |
(/.f64 (*.f64 x x) (+.f64 x y)) |
(*.f64 x x) |
x |
(+.f64 x y) |
(/.f64 (*.f64 x x) (-.f64 x y)) |
(-.f64 x y) |
(neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y)))) |
(/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) |
(pow.f64 y #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(*.f64 (+.f64 x y) (-.f64 x y)) |
| Outputs |
|---|
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y))) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y))) |
(fma.f64 y (+.f64 y y) (*.f64 y y)) |
(*.f64 #s(literal 3 binary64) (*.f64 y y)) |
y |
(+.f64 y y) |
(*.f64 #s(literal 2 binary64) y) |
(*.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)) (*.f64 #s(literal 3 binary64) (*.f64 y y))) |
(*.f64 (*.f64 #s(literal 3 binary64) y) y) |
(*.f64 #s(literal 3 binary64) (*.f64 y y)) |
(*.f64 #s(literal 3 binary64) y) |
#s(literal 3 binary64) |
y |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)))) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y))) |
(/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y))) |
(*.f64 #s(literal 3 binary64) (*.f64 y y)) |
y |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)) |
(/.f64 #s(literal 1/3 binary64) y) |
#s(literal 1 binary64) |
(*.f64 #s(literal 3 binary64) y) |
#s(literal 3 binary64) |
(fma.f64 y (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 (*.f64 y #s(literal 2 binary64)) y)) (*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) y) (*.f64 y y))) (*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) y) (-.f64 (*.f64 y #s(literal 2 binary64)) y))) (*.f64 x x)) |
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x)) |
y |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 (*.f64 y #s(literal 2 binary64)) y)) (*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) y) (*.f64 y y))) (*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) y) (-.f64 (*.f64 y #s(literal 2 binary64)) y))) |
(*.f64 #s(literal 3 binary64) y) |
(-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 (*.f64 y #s(literal 2 binary64)) y)) (*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) y) (*.f64 y y))) |
(*.f64 #s(literal 3 binary64) (pow.f64 y #s(literal 3 binary64))) |
(*.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 (*.f64 y #s(literal 2 binary64)) y)) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 4 binary64)) |
(*.f64 #s(literal 4 binary64) (*.f64 y y)) |
#s(literal 4 binary64) |
(*.f64 y y) |
(-.f64 (*.f64 y #s(literal 2 binary64)) y) |
y |
(*.f64 y #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
(*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) y) (*.f64 y y)) |
(pow.f64 y #s(literal 3 binary64)) |
(*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) y) (-.f64 (*.f64 y #s(literal 2 binary64)) y)) |
(*.f64 y y) |
(*.f64 x x) |
x |
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (fma.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (/.f64 (*.f64 x x) (-.f64 x y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y)))))) |
(-.f64 (fma.f64 #s(literal 2 binary64) (*.f64 y y) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x)))) |
(*.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
y |
(fma.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (/.f64 (*.f64 x x) (-.f64 x y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x)))) |
(/.f64 (*.f64 x x) (+.f64 x y)) |
(*.f64 (/.f64 x (+.f64 y x)) x) |
(*.f64 x x) |
x |
(+.f64 x y) |
(+.f64 y x) |
(/.f64 (*.f64 x x) (-.f64 x y)) |
(*.f64 (/.f64 x (-.f64 x y)) x) |
(-.f64 x y) |
(neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y)))) |
(/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 y x) (+.f64 y x))) |
(/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) |
(/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x))) |
(pow.f64 y #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(*.f64 (+.f64 x y) (-.f64 x y)) |
(*.f64 (-.f64 x y) (+.f64 y x)) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 1.265611238027801 | (fma.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (/.f64 (*.f64 x x) (-.f64 x y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))))) | |
| accuracy | 18.502771010494122 | (/.f64 (*.f64 x x) (+.f64 x y)) | |
| accuracy | 18.506677258866393 | (/.f64 (*.f64 x x) (-.f64 x y)) | |
| accuracy | 31.24504028969642 | (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) | |
| accuracy | 0.06640625 | (*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) y) (*.f64 y y)) | |
| accuracy | 0.06640625 | (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 (*.f64 y #s(literal 2 binary64)) y)) | |
| accuracy | 20.816406250000004 | (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 (*.f64 y #s(literal 2 binary64)) y)) (*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) y) (*.f64 y y))) | |
| accuracy | 42.79260227100342 | (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 (*.f64 y #s(literal 2 binary64)) y)) (*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) y) (*.f64 y y))) (*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) y) (-.f64 (*.f64 y #s(literal 2 binary64)) y))) | |
| accuracy | 0.0 | (*.f64 #s(literal 3 binary64) y) | |
| accuracy | 0.125 | (/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y))) | |
| accuracy | 0.28515625 | (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)) | |
| accuracy | 26.854623636571485 | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)))) | |
| accuracy | 0.0 | (*.f64 #s(literal 3 binary64) y) | |
| accuracy | 0.125 | (*.f64 (*.f64 #s(literal 3 binary64) y) y) | |
| accuracy | 26.854623636571485 | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) | |
| accuracy | 0.0 | (+.f64 y y) | |
| accuracy | 0.0 | (*.f64 y y) | |
| accuracy | 0.0625 | (fma.f64 y (+.f64 y y) (*.f64 y y)) | |
| accuracy | 26.854623636571485 | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y))) |
| 69.0ms | 171× | 0 | valid |
| 42.0ms | 85× | 1 | valid |
Compiled 742 to 85 computations (88.5% saved)
ival-mult: 50.0ms (56.5% of total)ival-add: 12.0ms (13.6% of total)ival-div: 11.0ms (12.4% of total)adjust: 6.0ms (6.8% of total)ival-sub: 4.0ms (4.5% of total)ival-pow: 3.0ms (3.4% of total)ival-neg: 2.0ms (2.3% 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) (*.f64 y y)) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y))) |
(*.f64 y y) |
(+.f64 y y) |
#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) |
(/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 (*.f64 y #s(literal 2 binary64)) y)) (*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) y) (*.f64 y y))) (*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) y) (-.f64 (*.f64 y #s(literal 2 binary64)) y))) |
(-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 (*.f64 y #s(literal 2 binary64)) y)) (*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) y) (*.f64 y y))) |
(-.f64 (*.f64 y #s(literal 2 binary64)) y) |
(fma.f64 y (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 (*.f64 y #s(literal 2 binary64)) y)) (*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) y) (*.f64 y y))) (*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) y) (-.f64 (*.f64 y #s(literal 2 binary64)) y))) (*.f64 x x)) |
(neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y)))) |
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (fma.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (/.f64 (*.f64 x x) (-.f64 x y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y)))))) |
(*.f64 #s(literal 2 binary64) y) |
(/.f64 (*.f64 x x) (+.f64 x y)) |
(*.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 (*.f64 y #s(literal 2 binary64)) y)) |
(*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) y) (*.f64 y y)) |
(/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) |
(/.f64 (*.f64 x x) (-.f64 x y)) |
(fma.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (/.f64 (*.f64 x x) (-.f64 x y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))))) |
| Outputs |
|---|
(+ (* 2 (pow y 2)) (pow y 2)) |
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2))) |
(/ (* y (- (* 4 (* (pow y 2) (- (* 2 y) y))) (* (pow y 2) (- (* 2 y) y)))) (pow (- (* 2 y) y) 2)) |
(+ (/ (* y (- (* 4 (* (pow y 2) (- (* 2 y) y))) (* (pow y 2) (- (* 2 y) y)))) (pow (- (* 2 y) y) 2)) (pow x 2)) |
(pow y 2) |
(- (* x (+ y (* -1 y))) (* -1 (pow y 2))) |
(- (* x (+ y (+ (* -1 y) (* x (+ 1 (/ (pow (+ y (* -1 y)) 2) (pow y 2))))))) (* -1 (pow y 2))) |
(- (* x (+ y (+ (* -1 y) (* x (+ 1 (+ (/ (* x (* (+ 1 (/ (pow (+ y (* -1 y)) 2) (pow y 2))) (+ y (* -1 y)))) (pow y 2)) (/ (pow (+ y (* -1 y)) 2) (pow y 2)))))))) (* -1 (pow y 2))) |
(- (* 2 (pow y 2)) (* -1 (pow y 2))) |
(- (+ (* 2 (pow y 2)) (* x (+ y (* -1 y)))) (* -1 (pow y 2))) |
(- (+ (* 2 (pow y 2)) (* x (+ y (+ (* -1 y) (* x (+ 1 (/ (pow (+ y (* -1 y)) 2) (pow y 2)))))))) (* -1 (pow y 2))) |
(- (+ (* 2 (pow y 2)) (* x (+ y (+ (* -1 y) (* x (+ 1 (+ (/ (* x (* (+ 1 (/ (pow (+ y (* -1 y)) 2) (pow y 2))) (+ y (* -1 y)))) (pow y 2)) (/ (pow (+ y (* -1 y)) 2) (pow y 2))))))))) (* -1 (pow y 2))) |
(/ (pow x 2) y) |
(* (pow x 2) (+ (* -1 (/ x (pow y 2))) (/ 1 y))) |
(* (pow x 2) (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) |
(* (pow x 2) (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(* -1 (pow y 2)) |
(+ (* -1 (* x (+ y (* -1 y)))) (* -1 (pow y 2))) |
(+ (* -1 (pow y 2)) (* x (- (* -1 (* x (+ 1 (/ (pow (+ y (* -1 y)) 2) (pow y 2))))) (+ y (* -1 y))))) |
(+ (* -1 (pow y 2)) (* x (- (* x (- (* -1 (/ (* x (* (+ 1 (/ (pow (+ y (* -1 y)) 2) (pow y 2))) (+ y (* -1 y)))) (pow y 2))) (+ 1 (/ (pow (+ y (* -1 y)) 2) (pow y 2))))) (+ y (* -1 y))))) |
(* -1 (/ (pow x 2) y)) |
(* (pow x 2) (- (* -1 (/ x (pow y 2))) (/ 1 y))) |
(* (pow x 2) (- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) |
(* (pow x 2) (- (* x (- (* x (- (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(pow x 2) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (/ (* y (- (* 4 (* (pow y 2) (- (* 2 y) y))) (* (pow y 2) (- (* 2 y) y)))) (* (pow x 2) (pow (- (* 2 y) y) 2))))) |
(* -1 (/ (pow y 4) (pow x 2))) |
(/ (- (/ (* (pow y 4) (+ y (* -1 y))) x) (pow y 4)) (pow x 2)) |
(/ (- (+ (* -1 (/ (* (pow y 4) (pow (+ y (* -1 y)) 2)) (pow x 2))) (+ (* -1 (/ (pow y 6) (pow x 2))) (/ (* (pow y 4) (+ y (* -1 y))) x))) (pow y 4)) (pow x 2)) |
(/ (- (+ (* -1 (/ (* (+ y (* -1 y)) (+ (* -1 (* (pow y 4) (pow (+ y (* -1 y)) 2))) (* -1 (pow y 6)))) (pow x 3))) (+ (* -1 (/ (* (pow y 4) (pow (+ y (* -1 y)) 2)) (pow x 2))) (+ (* -1 (/ (pow y 6) (pow x 2))) (+ (/ (* (pow y 4) (+ y (* -1 y))) x) (/ (* (pow y 6) (+ y (* -1 y))) (pow x 3)))))) (pow y 4)) (pow x 2)) |
(* (pow x 2) (+ 1 (* -1 (/ (+ y (* -1 y)) x)))) |
(* (pow x 2) (- (+ 1 (* 2 (/ (pow y 2) (pow x 2)))) (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow (+ y (* -1 y)) 2) (pow x 2))) (/ y x)))))) |
(* (pow x 2) (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (+ y (* -1 y)) (+ (* -1 (pow y 2)) (* -1 (pow (+ y (* -1 y)) 2))))) (* (pow y 2) (+ y (* -1 y)))) (pow x 3))) (* 2 (/ (pow y 2) (pow x 2))))) (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow (+ y (* -1 y)) 2) (pow x 2))) (/ y x)))))) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))) |
(* x (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))) |
(/ (pow y 4) (pow x 2)) |
(/ (+ (* -1 (/ (* (pow y 4) (+ y (* -1 y))) x)) (pow y 4)) (pow x 2)) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (pow y 4) (pow (+ y (* -1 y)) 2))) (* -1 (pow y 6))) (pow x 2))) (pow y 4)) (/ (* (pow y 4) (+ y (* -1 y))) x)) (pow x 2)) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (+ y (* -1 y)) (+ (* -1 (* (pow y 4) (pow (+ y (* -1 y)) 2))) (* -1 (pow y 6))))) (* (pow y 6) (+ y (* -1 y)))) (pow x 3))) (pow y 4)) (+ (* -1 (/ (* (pow y 4) (pow (+ y (* -1 y)) 2)) (pow x 2))) (+ (* -1 (/ (pow y 6) (pow x 2))) (/ (* (pow y 4) (+ y (* -1 y))) x)))) (pow x 2)) |
(* x (+ 1 (/ y x))) |
(* x (- (+ 1 (/ (pow y 2) (pow x 2))) (* -1 (/ y x)))) |
(* x (- (+ 1 (/ (pow y 3) (pow x 3))) (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2)))))) |
(* (pow x 2) (- (+ 1 (* -1 (/ (+ (* -1 (pow y 2)) (* -1 (pow (+ y (* -1 y)) 2))) (pow x 2)))) (+ (* -1 (/ y x)) (/ y x)))) |
(* (pow x 2) (- (+ 1 (* -1 (/ (+ (* -1 (* (+ y (* -1 y)) (+ (* -1 (pow y 2)) (* -1 (pow (+ y (* -1 y)) 2))))) (* (pow y 2) (+ y (* -1 y)))) (pow x 3)))) (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow (+ y (* -1 y)) 2) (pow x 2))) (/ y x)))))) |
(/ (- (* -1 (/ (- (+ (/ (* (pow y 4) (pow (+ y (* -1 y)) 2)) x) (/ (pow y 6) x)) (* (pow y 4) (+ y (* -1 y)))) x)) (pow y 4)) (pow x 2)) |
(/ (- (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ y (* -1 y)) (+ (* (pow y 4) (pow (+ y (* -1 y)) 2)) (pow y 6))) x) (/ (* (pow y 6) (+ y (* -1 y))) x)) (+ (* (pow y 4) (pow (+ y (* -1 y)) 2)) (pow y 6))) x)) (* (pow y 4) (+ y (* -1 y)))) x)) (pow y 4)) (pow x 2)) |
(* (pow x 2) (+ 1 (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (* 2 (pow y 2)) (+ (pow y 2) (pow (+ y (* -1 y)) 2))) x)))) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* (+ y (* -1 y)) (+ (pow y 2) (pow (+ y (* -1 y)) 2))) (* (pow y 2) (+ y (* -1 y)))) x)) (+ (* 2 (pow y 2)) (+ (pow y 2) (pow (+ y (* -1 y)) 2)))) x)))) x)))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (* -1 (/ (- (/ (pow y 2) x) y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x)) y) x)) 1))) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* (pow y 4) (pow (+ y (* -1 y)) 2)) (pow y 6)) x)) (* (pow y 4) (+ y (* -1 y)))) x)) (pow y 4)) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* (+ y (* -1 y)) (+ (* (pow y 4) (pow (+ y (* -1 y)) 2)) (pow y 6))) (* (pow y 6) (+ y (* -1 y)))) x)) (+ (* (pow y 4) (pow (+ y (* -1 y)) 2)) (pow y 6))) x)) (* (pow y 4) (+ y (* -1 y)))) x)) (pow y 4)) (pow x 2)) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (/ (pow y 2) x) (* -1 y)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (pow y 2)) x)) (* -1 y)) x)) 1))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (pow y 2) (pow (+ y (* -1 y)) 2)) x)))) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* (+ y (* -1 y)) (+ (pow y 2) (pow (+ y (* -1 y)) 2))) (* (pow y 2) (+ y (* -1 y)))) x)) (+ (pow y 2) (pow (+ y (* -1 y)) 2))) x)))) x)))) |
(* 3 (pow y 2)) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(* 2 y) |
(* 3 y) |
(/ 1/3 y) |
(* 3 (pow y 3)) |
y |
(* (pow y 4) (- (* -1 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 2)))) |
(* (pow y 4) (- (* (pow y 2) (- (* -1 (/ (pow y 2) (pow x 6))) (/ 1 (pow x 4)))) (/ 1 (pow x 2)))) |
(* (pow y 4) (- (* (pow y 2) (- (* (pow y 2) (- (* -1 (/ (pow y 2) (pow x 8))) (/ 1 (pow x 6)))) (/ 1 (pow x 4)))) (/ 1 (pow x 2)))) |
(+ (* -1 (* y (+ x (* -1 x)))) (pow x 2)) |
(+ (* y (- (* y (- 3 (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2))))) (+ x (* -1 x)))) (pow x 2)) |
(+ (* y (- (* y (- (+ 3 (* -1 (/ (* y (* (+ x (* -1 x)) (- 1 (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2)))))) (pow x 2)))) (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2))))) (+ x (* -1 x)))) (pow x 2)) |
(+ x (* -1 y)) |
(+ x (* y (- (/ y x) 1))) |
(+ x (* y (- (* y (+ (* -1 (/ y (pow x 2))) (/ 1 x))) 1))) |
(* 4 (pow y 3)) |
(pow y 3) |
(* (pow y 4) (+ (/ 1 (pow x 2)) (/ (pow y 2) (pow x 4)))) |
(* (pow y 4) (+ (* (pow y 2) (+ (/ 1 (pow x 4)) (/ (pow y 2) (pow x 6)))) (/ 1 (pow x 2)))) |
(* (pow y 4) (+ (* (pow y 2) (+ (* (pow y 2) (+ (/ 1 (pow x 6)) (/ (pow y 2) (pow x 8)))) (/ 1 (pow x 4)))) (/ 1 (pow x 2)))) |
(+ x y) |
(+ x (* y (+ 1 (/ y x)))) |
(+ x (* y (+ 1 (* y (+ (/ 1 x) (/ y (pow x 2))))))) |
(+ (* y (- (* y (- 1 (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2))))) (+ x (* -1 x)))) (pow x 2)) |
(+ (* y (- (* y (- (+ 1 (* -1 (/ (* y (* (+ x (* -1 x)) (- 1 (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2)))))) (pow x 2)))) (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2))))) (+ x (* -1 x)))) (pow x 2)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (/ x y)))) |
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (+ (/ x y) (+ (/ (pow x 2) (pow y 2)) (/ (pow (+ x (* -1 x)) 2) (pow y 2))))))) |
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (+ (/ x y) (+ (/ (* (+ x (* -1 x)) (+ (pow x 2) (pow (+ x (* -1 x)) 2))) (pow y 3)) (+ (/ (* (pow x 2) (+ x (* -1 x))) (pow y 3)) (+ (/ (pow x 2) (pow y 2)) (/ (pow (+ x (* -1 x)) 2) (pow y 2))))))))) |
(* (pow y 2) (+ 3 (+ (* -1 (/ x y)) (/ x y)))) |
(* (pow y 2) (+ 3 (+ (* -1 (/ x y)) (+ (/ x y) (+ (/ (pow x 2) (pow y 2)) (/ (pow (+ x (* -1 x)) 2) (pow y 2))))))) |
(* (pow y 2) (+ 3 (+ (* -1 (/ x y)) (+ (/ x y) (+ (/ (* (+ x (* -1 x)) (+ (pow x 2) (pow (+ x (* -1 x)) 2))) (pow y 3)) (+ (/ (* (pow x 2) (+ x (* -1 x))) (pow y 3)) (+ (/ (pow x 2) (pow y 2)) (/ (pow (+ x (* -1 x)) 2) (pow y 2))))))))) |
(/ (+ (* -1 (/ (pow x 3) y)) (pow x 2)) y) |
(/ (- (+ (/ (pow x 4) (pow y 2)) (pow x 2)) (/ (pow x 3) y)) y) |
(/ (- (+ (* -1 (/ (pow x 5) (pow y 3))) (pow x 2)) (+ (* -1 (/ (pow x 4) (pow y 2))) (/ (pow x 3) y))) y) |
(* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1)) |
(* (pow y 2) (- (* -1 (/ (+ (pow x 2) (pow (+ x (* -1 x)) 2)) (pow y 2))) (+ 1 (+ (* -1 (/ x y)) (/ x y))))) |
(* (pow y 2) (- (* -1 (/ (+ (* (+ x (* -1 x)) (+ (pow x 2) (pow (+ x (* -1 x)) 2))) (* (pow x 2) (+ x (* -1 x)))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (+ (/ x y) (+ (/ (pow x 2) (pow y 2)) (/ (pow (+ x (* -1 x)) 2) (pow y 2)))))))) |
(/ (+ (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y) |
(/ (- (+ (* -1 (/ (pow x 4) (pow y 2))) (* -1 (pow x 2))) (/ (pow x 3) y)) y) |
(/ (- (+ (* -1 (/ (pow x 5) (pow y 3))) (* -1 (pow x 2))) (+ (/ (pow x 3) y) (/ (pow x 4) (pow y 2)))) y) |
(* (pow y 2) (+ 1 (* -1 (/ (+ x (* -1 x)) y)))) |
(* (pow y 2) (+ 1 (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (pow x 2) (pow (+ x (* -1 x)) 2)) y)))) y)))) |
(* (pow y 2) (+ 1 (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* (+ x (* -1 x)) (+ (pow x 2) (pow (+ x (* -1 x)) 2))) (* (pow x 2) (+ x (* -1 x)))) y)) (+ (pow x 2) (pow (+ x (* -1 x)) 2))) y)))) y)))) |
(* (pow y 2) (+ 3 (* -1 (/ (+ x (* -1 x)) y)))) |
(* (pow y 2) (+ 3 (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (pow x 2) (pow (+ x (* -1 x)) 2)) y)))) y)))) |
(* (pow y 2) (+ 3 (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* (+ x (* -1 x)) (+ (pow x 2) (pow (+ x (* -1 x)) 2))) (* (pow x 2) (+ x (* -1 x)))) y)) (+ (pow x 2) (pow (+ x (* -1 x)) 2))) y)))) y)))) |
(* -1 (/ (+ (* -1 (pow x 2)) (/ (pow x 3) y)) y)) |
(* -1 (/ (+ (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (* -1 (pow x 2))) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 5) y) (pow x 4)) y)) (pow x 3)) y)) (* -1 (pow x 2))) y)) |
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1)) |
(* (pow y 2) (- (* -1 (/ (- (+ (/ (pow x 2) y) (/ (pow (+ x (* -1 x)) 2) y)) (+ x (* -1 x))) y)) 1)) |
(* (pow y 2) (- (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ x (* -1 x)) (+ (pow x 2) (pow (+ x (* -1 x)) 2))) y) (/ (* (pow x 2) (+ x (* -1 x))) y)) (+ (pow x 2) (pow (+ x (* -1 x)) 2))) y)) (+ x (* -1 x))) y)) 1)) |
(* -1 (/ (+ (/ (pow x 3) y) (pow x 2)) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow x 4) y)) (pow x 3)) y)) (pow x 2)) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 5) y) (* -1 (pow x 4))) y)) (pow x 3)) y)) (pow x 2)) y)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 45.0ms | y | @ | -inf | ((+ (* y (+ y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* y y) (+ y y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* 3 y) y) (* 3 y) (/ y (/ 1 (* 3 y))) (/ 1 (* 3 y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/ (- (* (* 4 (* y y)) (- (* y 2) y)) (* (- (* y 2) y) (* y y))) (* (- (* y 2) y) (- (* y 2) y))) (- (* (* 4 (* y y)) (- (* y 2) y)) (* (- (* y 2) y) (* y y))) (- (* y 2) y) (+ (* y (/ (- (* (* 4 (* y y)) (- (* y 2) y)) (* (- (* y 2) y) (* y y))) (* (- (* y 2) y) (- (* y 2) y)))) (* x x)) (neg (/ (pow y 4) (* (+ x y) (- x y)))) (+ (* (* 2 y) y) (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (neg (/ (pow y 4) (* (+ x y) (- x y)))))) (* 2 y) (/ (* x x) (+ x y)) (* (* 4 (* y y)) (- (* y 2) y)) (* (- (* y 2) y) (* y y)) (/ (pow y 4) (* (+ x y) (- x y))) (/ (* x x) (- x y)) (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (neg (/ (pow y 4) (* (+ x y) (- x y)))))) |
| 5.0ms | y | @ | inf | ((+ (* y (+ y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* y y) (+ y y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* 3 y) y) (* 3 y) (/ y (/ 1 (* 3 y))) (/ 1 (* 3 y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/ (- (* (* 4 (* y y)) (- (* y 2) y)) (* (- (* y 2) y) (* y y))) (* (- (* y 2) y) (- (* y 2) y))) (- (* (* 4 (* y y)) (- (* y 2) y)) (* (- (* y 2) y) (* y y))) (- (* y 2) y) (+ (* y (/ (- (* (* 4 (* y y)) (- (* y 2) y)) (* (- (* y 2) y) (* y y))) (* (- (* y 2) y) (- (* y 2) y)))) (* x x)) (neg (/ (pow y 4) (* (+ x y) (- x y)))) (+ (* (* 2 y) y) (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (neg (/ (pow y 4) (* (+ x y) (- x y)))))) (* 2 y) (/ (* x x) (+ x y)) (* (* 4 (* y y)) (- (* y 2) y)) (* (- (* y 2) y) (* y y)) (/ (pow y 4) (* (+ x y) (- x y))) (/ (* x x) (- x y)) (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (neg (/ (pow y 4) (* (+ x y) (- x y)))))) |
| 4.0ms | y | @ | 0 | ((+ (* y (+ y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* y y) (+ y y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* 3 y) y) (* 3 y) (/ y (/ 1 (* 3 y))) (/ 1 (* 3 y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/ (- (* (* 4 (* y y)) (- (* y 2) y)) (* (- (* y 2) y) (* y y))) (* (- (* y 2) y) (- (* y 2) y))) (- (* (* 4 (* y y)) (- (* y 2) y)) (* (- (* y 2) y) (* y y))) (- (* y 2) y) (+ (* y (/ (- (* (* 4 (* y y)) (- (* y 2) y)) (* (- (* y 2) y) (* y y))) (* (- (* y 2) y) (- (* y 2) y)))) (* x x)) (neg (/ (pow y 4) (* (+ x y) (- x y)))) (+ (* (* 2 y) y) (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (neg (/ (pow y 4) (* (+ x y) (- x y)))))) (* 2 y) (/ (* x x) (+ x y)) (* (* 4 (* y y)) (- (* y 2) y)) (* (- (* y 2) y) (* y y)) (/ (pow y 4) (* (+ x y) (- x y))) (/ (* x x) (- x y)) (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (neg (/ (pow y 4) (* (+ x y) (- x y)))))) |
| 4.0ms | x | @ | inf | ((+ (* y (+ y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* y y) (+ y y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* 3 y) y) (* 3 y) (/ y (/ 1 (* 3 y))) (/ 1 (* 3 y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/ (- (* (* 4 (* y y)) (- (* y 2) y)) (* (- (* y 2) y) (* y y))) (* (- (* y 2) y) (- (* y 2) y))) (- (* (* 4 (* y y)) (- (* y 2) y)) (* (- (* y 2) y) (* y y))) (- (* y 2) y) (+ (* y (/ (- (* (* 4 (* y y)) (- (* y 2) y)) (* (- (* y 2) y) (* y y))) (* (- (* y 2) y) (- (* y 2) y)))) (* x x)) (neg (/ (pow y 4) (* (+ x y) (- x y)))) (+ (* (* 2 y) y) (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (neg (/ (pow y 4) (* (+ x y) (- x y)))))) (* 2 y) (/ (* x x) (+ x y)) (* (* 4 (* y y)) (- (* y 2) y)) (* (- (* y 2) y) (* y y)) (/ (pow y 4) (* (+ x y) (- x y))) (/ (* x x) (- x y)) (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (neg (/ (pow y 4) (* (+ x y) (- x y)))))) |
| 3.0ms | x | @ | 0 | ((+ (* y (+ y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* y y) (+ y y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* 3 y) y) (* 3 y) (/ y (/ 1 (* 3 y))) (/ 1 (* 3 y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/ (- (* (* 4 (* y y)) (- (* y 2) y)) (* (- (* y 2) y) (* y y))) (* (- (* y 2) y) (- (* y 2) y))) (- (* (* 4 (* y y)) (- (* y 2) y)) (* (- (* y 2) y) (* y y))) (- (* y 2) y) (+ (* y (/ (- (* (* 4 (* y y)) (- (* y 2) y)) (* (- (* y 2) y) (* y y))) (* (- (* y 2) y) (- (* y 2) y)))) (* x x)) (neg (/ (pow y 4) (* (+ x y) (- x y)))) (+ (* (* 2 y) y) (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (neg (/ (pow y 4) (* (+ x y) (- x y)))))) (* 2 y) (/ (* x x) (+ x y)) (* (* 4 (* y y)) (- (* y 2) y)) (* (- (* y 2) y) (* y y)) (/ (pow y 4) (* (+ x y) (- x y))) (/ (* x x) (- x y)) (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (neg (/ (pow y 4) (* (+ x y) (- x y)))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 585 | 2239 |
| 1 | 1851 | 1653 |
| 2 | 7495 | 1633 |
| 0 | 8261 | 1557 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* 2 (pow y 2)) (pow y 2)) |
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2))) |
(/ (* y (- (* 4 (* (pow y 2) (- (* 2 y) y))) (* (pow y 2) (- (* 2 y) y)))) (pow (- (* 2 y) y) 2)) |
(+ (/ (* y (- (* 4 (* (pow y 2) (- (* 2 y) y))) (* (pow y 2) (- (* 2 y) y)))) (pow (- (* 2 y) y) 2)) (pow x 2)) |
(pow y 2) |
(- (* x (+ y (* -1 y))) (* -1 (pow y 2))) |
(- (* x (+ y (+ (* -1 y) (* x (+ 1 (/ (pow (+ y (* -1 y)) 2) (pow y 2))))))) (* -1 (pow y 2))) |
(- (* x (+ y (+ (* -1 y) (* x (+ 1 (+ (/ (* x (* (+ 1 (/ (pow (+ y (* -1 y)) 2) (pow y 2))) (+ y (* -1 y)))) (pow y 2)) (/ (pow (+ y (* -1 y)) 2) (pow y 2)))))))) (* -1 (pow y 2))) |
(- (* 2 (pow y 2)) (* -1 (pow y 2))) |
(- (+ (* 2 (pow y 2)) (* x (+ y (* -1 y)))) (* -1 (pow y 2))) |
(- (+ (* 2 (pow y 2)) (* x (+ y (+ (* -1 y) (* x (+ 1 (/ (pow (+ y (* -1 y)) 2) (pow y 2)))))))) (* -1 (pow y 2))) |
(- (+ (* 2 (pow y 2)) (* x (+ y (+ (* -1 y) (* x (+ 1 (+ (/ (* x (* (+ 1 (/ (pow (+ y (* -1 y)) 2) (pow y 2))) (+ y (* -1 y)))) (pow y 2)) (/ (pow (+ y (* -1 y)) 2) (pow y 2))))))))) (* -1 (pow y 2))) |
(/ (pow x 2) y) |
(* (pow x 2) (+ (* -1 (/ x (pow y 2))) (/ 1 y))) |
(* (pow x 2) (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) |
(* (pow x 2) (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(* -1 (pow y 2)) |
(+ (* -1 (* x (+ y (* -1 y)))) (* -1 (pow y 2))) |
(+ (* -1 (pow y 2)) (* x (- (* -1 (* x (+ 1 (/ (pow (+ y (* -1 y)) 2) (pow y 2))))) (+ y (* -1 y))))) |
(+ (* -1 (pow y 2)) (* x (- (* x (- (* -1 (/ (* x (* (+ 1 (/ (pow (+ y (* -1 y)) 2) (pow y 2))) (+ y (* -1 y)))) (pow y 2))) (+ 1 (/ (pow (+ y (* -1 y)) 2) (pow y 2))))) (+ y (* -1 y))))) |
(* -1 (/ (pow x 2) y)) |
(* (pow x 2) (- (* -1 (/ x (pow y 2))) (/ 1 y))) |
(* (pow x 2) (- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) |
(* (pow x 2) (- (* x (- (* x (- (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(pow x 2) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (/ (* y (- (* 4 (* (pow y 2) (- (* 2 y) y))) (* (pow y 2) (- (* 2 y) y)))) (* (pow x 2) (pow (- (* 2 y) y) 2))))) |
(* -1 (/ (pow y 4) (pow x 2))) |
(/ (- (/ (* (pow y 4) (+ y (* -1 y))) x) (pow y 4)) (pow x 2)) |
(/ (- (+ (* -1 (/ (* (pow y 4) (pow (+ y (* -1 y)) 2)) (pow x 2))) (+ (* -1 (/ (pow y 6) (pow x 2))) (/ (* (pow y 4) (+ y (* -1 y))) x))) (pow y 4)) (pow x 2)) |
(/ (- (+ (* -1 (/ (* (+ y (* -1 y)) (+ (* -1 (* (pow y 4) (pow (+ y (* -1 y)) 2))) (* -1 (pow y 6)))) (pow x 3))) (+ (* -1 (/ (* (pow y 4) (pow (+ y (* -1 y)) 2)) (pow x 2))) (+ (* -1 (/ (pow y 6) (pow x 2))) (+ (/ (* (pow y 4) (+ y (* -1 y))) x) (/ (* (pow y 6) (+ y (* -1 y))) (pow x 3)))))) (pow y 4)) (pow x 2)) |
(* (pow x 2) (+ 1 (* -1 (/ (+ y (* -1 y)) x)))) |
(* (pow x 2) (- (+ 1 (* 2 (/ (pow y 2) (pow x 2)))) (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow (+ y (* -1 y)) 2) (pow x 2))) (/ y x)))))) |
(* (pow x 2) (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (+ y (* -1 y)) (+ (* -1 (pow y 2)) (* -1 (pow (+ y (* -1 y)) 2))))) (* (pow y 2) (+ y (* -1 y)))) (pow x 3))) (* 2 (/ (pow y 2) (pow x 2))))) (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow (+ y (* -1 y)) 2) (pow x 2))) (/ y x)))))) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))) |
(* x (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))) |
(/ (pow y 4) (pow x 2)) |
(/ (+ (* -1 (/ (* (pow y 4) (+ y (* -1 y))) x)) (pow y 4)) (pow x 2)) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (pow y 4) (pow (+ y (* -1 y)) 2))) (* -1 (pow y 6))) (pow x 2))) (pow y 4)) (/ (* (pow y 4) (+ y (* -1 y))) x)) (pow x 2)) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (+ y (* -1 y)) (+ (* -1 (* (pow y 4) (pow (+ y (* -1 y)) 2))) (* -1 (pow y 6))))) (* (pow y 6) (+ y (* -1 y)))) (pow x 3))) (pow y 4)) (+ (* -1 (/ (* (pow y 4) (pow (+ y (* -1 y)) 2)) (pow x 2))) (+ (* -1 (/ (pow y 6) (pow x 2))) (/ (* (pow y 4) (+ y (* -1 y))) x)))) (pow x 2)) |
(* x (+ 1 (/ y x))) |
(* x (- (+ 1 (/ (pow y 2) (pow x 2))) (* -1 (/ y x)))) |
(* x (- (+ 1 (/ (pow y 3) (pow x 3))) (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2)))))) |
(* (pow x 2) (- (+ 1 (* -1 (/ (+ (* -1 (pow y 2)) (* -1 (pow (+ y (* -1 y)) 2))) (pow x 2)))) (+ (* -1 (/ y x)) (/ y x)))) |
(* (pow x 2) (- (+ 1 (* -1 (/ (+ (* -1 (* (+ y (* -1 y)) (+ (* -1 (pow y 2)) (* -1 (pow (+ y (* -1 y)) 2))))) (* (pow y 2) (+ y (* -1 y)))) (pow x 3)))) (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow (+ y (* -1 y)) 2) (pow x 2))) (/ y x)))))) |
(/ (- (* -1 (/ (- (+ (/ (* (pow y 4) (pow (+ y (* -1 y)) 2)) x) (/ (pow y 6) x)) (* (pow y 4) (+ y (* -1 y)))) x)) (pow y 4)) (pow x 2)) |
(/ (- (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ y (* -1 y)) (+ (* (pow y 4) (pow (+ y (* -1 y)) 2)) (pow y 6))) x) (/ (* (pow y 6) (+ y (* -1 y))) x)) (+ (* (pow y 4) (pow (+ y (* -1 y)) 2)) (pow y 6))) x)) (* (pow y 4) (+ y (* -1 y)))) x)) (pow y 4)) (pow x 2)) |
(* (pow x 2) (+ 1 (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (* 2 (pow y 2)) (+ (pow y 2) (pow (+ y (* -1 y)) 2))) x)))) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* (+ y (* -1 y)) (+ (pow y 2) (pow (+ y (* -1 y)) 2))) (* (pow y 2) (+ y (* -1 y)))) x)) (+ (* 2 (pow y 2)) (+ (pow y 2) (pow (+ y (* -1 y)) 2)))) x)))) x)))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (* -1 (/ (- (/ (pow y 2) x) y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x)) y) x)) 1))) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* (pow y 4) (pow (+ y (* -1 y)) 2)) (pow y 6)) x)) (* (pow y 4) (+ y (* -1 y)))) x)) (pow y 4)) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* (+ y (* -1 y)) (+ (* (pow y 4) (pow (+ y (* -1 y)) 2)) (pow y 6))) (* (pow y 6) (+ y (* -1 y)))) x)) (+ (* (pow y 4) (pow (+ y (* -1 y)) 2)) (pow y 6))) x)) (* (pow y 4) (+ y (* -1 y)))) x)) (pow y 4)) (pow x 2)) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (/ (pow y 2) x) (* -1 y)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (pow y 2)) x)) (* -1 y)) x)) 1))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (pow y 2) (pow (+ y (* -1 y)) 2)) x)))) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* (+ y (* -1 y)) (+ (pow y 2) (pow (+ y (* -1 y)) 2))) (* (pow y 2) (+ y (* -1 y)))) x)) (+ (pow y 2) (pow (+ y (* -1 y)) 2))) x)))) x)))) |
(* 3 (pow y 2)) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(* 2 y) |
(* 3 y) |
(/ 1/3 y) |
(* 3 (pow y 3)) |
y |
(* (pow y 4) (- (* -1 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 2)))) |
(* (pow y 4) (- (* (pow y 2) (- (* -1 (/ (pow y 2) (pow x 6))) (/ 1 (pow x 4)))) (/ 1 (pow x 2)))) |
(* (pow y 4) (- (* (pow y 2) (- (* (pow y 2) (- (* -1 (/ (pow y 2) (pow x 8))) (/ 1 (pow x 6)))) (/ 1 (pow x 4)))) (/ 1 (pow x 2)))) |
(+ (* -1 (* y (+ x (* -1 x)))) (pow x 2)) |
(+ (* y (- (* y (- 3 (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2))))) (+ x (* -1 x)))) (pow x 2)) |
(+ (* y (- (* y (- (+ 3 (* -1 (/ (* y (* (+ x (* -1 x)) (- 1 (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2)))))) (pow x 2)))) (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2))))) (+ x (* -1 x)))) (pow x 2)) |
(+ x (* -1 y)) |
(+ x (* y (- (/ y x) 1))) |
(+ x (* y (- (* y (+ (* -1 (/ y (pow x 2))) (/ 1 x))) 1))) |
(* 4 (pow y 3)) |
(pow y 3) |
(* (pow y 4) (+ (/ 1 (pow x 2)) (/ (pow y 2) (pow x 4)))) |
(* (pow y 4) (+ (* (pow y 2) (+ (/ 1 (pow x 4)) (/ (pow y 2) (pow x 6)))) (/ 1 (pow x 2)))) |
(* (pow y 4) (+ (* (pow y 2) (+ (* (pow y 2) (+ (/ 1 (pow x 6)) (/ (pow y 2) (pow x 8)))) (/ 1 (pow x 4)))) (/ 1 (pow x 2)))) |
(+ x y) |
(+ x (* y (+ 1 (/ y x)))) |
(+ x (* y (+ 1 (* y (+ (/ 1 x) (/ y (pow x 2))))))) |
(+ (* y (- (* y (- 1 (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2))))) (+ x (* -1 x)))) (pow x 2)) |
(+ (* y (- (* y (- (+ 1 (* -1 (/ (* y (* (+ x (* -1 x)) (- 1 (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2)))))) (pow x 2)))) (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2))))) (+ x (* -1 x)))) (pow x 2)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (/ x y)))) |
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (+ (/ x y) (+ (/ (pow x 2) (pow y 2)) (/ (pow (+ x (* -1 x)) 2) (pow y 2))))))) |
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (+ (/ x y) (+ (/ (* (+ x (* -1 x)) (+ (pow x 2) (pow (+ x (* -1 x)) 2))) (pow y 3)) (+ (/ (* (pow x 2) (+ x (* -1 x))) (pow y 3)) (+ (/ (pow x 2) (pow y 2)) (/ (pow (+ x (* -1 x)) 2) (pow y 2))))))))) |
(* (pow y 2) (+ 3 (+ (* -1 (/ x y)) (/ x y)))) |
(* (pow y 2) (+ 3 (+ (* -1 (/ x y)) (+ (/ x y) (+ (/ (pow x 2) (pow y 2)) (/ (pow (+ x (* -1 x)) 2) (pow y 2))))))) |
(* (pow y 2) (+ 3 (+ (* -1 (/ x y)) (+ (/ x y) (+ (/ (* (+ x (* -1 x)) (+ (pow x 2) (pow (+ x (* -1 x)) 2))) (pow y 3)) (+ (/ (* (pow x 2) (+ x (* -1 x))) (pow y 3)) (+ (/ (pow x 2) (pow y 2)) (/ (pow (+ x (* -1 x)) 2) (pow y 2))))))))) |
(/ (+ (* -1 (/ (pow x 3) y)) (pow x 2)) y) |
(/ (- (+ (/ (pow x 4) (pow y 2)) (pow x 2)) (/ (pow x 3) y)) y) |
(/ (- (+ (* -1 (/ (pow x 5) (pow y 3))) (pow x 2)) (+ (* -1 (/ (pow x 4) (pow y 2))) (/ (pow x 3) y))) y) |
(* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1)) |
(* (pow y 2) (- (* -1 (/ (+ (pow x 2) (pow (+ x (* -1 x)) 2)) (pow y 2))) (+ 1 (+ (* -1 (/ x y)) (/ x y))))) |
(* (pow y 2) (- (* -1 (/ (+ (* (+ x (* -1 x)) (+ (pow x 2) (pow (+ x (* -1 x)) 2))) (* (pow x 2) (+ x (* -1 x)))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (+ (/ x y) (+ (/ (pow x 2) (pow y 2)) (/ (pow (+ x (* -1 x)) 2) (pow y 2)))))))) |
(/ (+ (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y) |
(/ (- (+ (* -1 (/ (pow x 4) (pow y 2))) (* -1 (pow x 2))) (/ (pow x 3) y)) y) |
(/ (- (+ (* -1 (/ (pow x 5) (pow y 3))) (* -1 (pow x 2))) (+ (/ (pow x 3) y) (/ (pow x 4) (pow y 2)))) y) |
(* (pow y 2) (+ 1 (* -1 (/ (+ x (* -1 x)) y)))) |
(* (pow y 2) (+ 1 (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (pow x 2) (pow (+ x (* -1 x)) 2)) y)))) y)))) |
(* (pow y 2) (+ 1 (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* (+ x (* -1 x)) (+ (pow x 2) (pow (+ x (* -1 x)) 2))) (* (pow x 2) (+ x (* -1 x)))) y)) (+ (pow x 2) (pow (+ x (* -1 x)) 2))) y)))) y)))) |
(* (pow y 2) (+ 3 (* -1 (/ (+ x (* -1 x)) y)))) |
(* (pow y 2) (+ 3 (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (pow x 2) (pow (+ x (* -1 x)) 2)) y)))) y)))) |
(* (pow y 2) (+ 3 (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* (+ x (* -1 x)) (+ (pow x 2) (pow (+ x (* -1 x)) 2))) (* (pow x 2) (+ x (* -1 x)))) y)) (+ (pow x 2) (pow (+ x (* -1 x)) 2))) y)))) y)))) |
(* -1 (/ (+ (* -1 (pow x 2)) (/ (pow x 3) y)) y)) |
(* -1 (/ (+ (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (* -1 (pow x 2))) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 5) y) (pow x 4)) y)) (pow x 3)) y)) (* -1 (pow x 2))) y)) |
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1)) |
(* (pow y 2) (- (* -1 (/ (- (+ (/ (pow x 2) y) (/ (pow (+ x (* -1 x)) 2) y)) (+ x (* -1 x))) y)) 1)) |
(* (pow y 2) (- (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ x (* -1 x)) (+ (pow x 2) (pow (+ x (* -1 x)) 2))) y) (/ (* (pow x 2) (+ x (* -1 x))) y)) (+ (pow x 2) (pow (+ x (* -1 x)) 2))) y)) (+ x (* -1 x))) y)) 1)) |
(* -1 (/ (+ (/ (pow x 3) y) (pow x 2)) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow x 4) y)) (pow x 3)) y)) (pow x 2)) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 5) y) (* -1 (pow x 4))) y)) (pow x 3)) y)) (pow x 2)) y)) |
| 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 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x)) |
(/ (* y (- (* 4 (* (pow y 2) (- (* 2 y) y))) (* (pow y 2) (- (* 2 y) y)))) (pow (- (* 2 y) y) 2)) |
(*.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 y (*.f64 y y))) |
(+ (/ (* y (- (* 4 (* (pow y 2) (- (* 2 y) y))) (* (pow y 2) (- (* 2 y) y)))) (pow (- (* 2 y) y) 2)) (pow x 2)) |
(fma.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 y (*.f64 y y)) (*.f64 x x)) |
(pow y 2) |
(*.f64 y y) |
(- (* x (+ y (* -1 y))) (* -1 (pow y 2))) |
(*.f64 y y) |
(- (* x (+ y (+ (* -1 y) (* x (+ 1 (/ (pow (+ y (* -1 y)) 2) (pow y 2))))))) (* -1 (pow y 2))) |
(fma.f64 x x (*.f64 y y)) |
(- (* x (+ y (+ (* -1 y) (* x (+ 1 (+ (/ (* x (* (+ 1 (/ (pow (+ y (* -1 y)) 2) (pow y 2))) (+ y (* -1 y)))) (pow y 2)) (/ (pow (+ y (* -1 y)) 2) (pow y 2)))))))) (* -1 (pow y 2))) |
(fma.f64 x x (*.f64 y y)) |
(- (* 2 (pow y 2)) (* -1 (pow y 2))) |
(*.f64 #s(literal 3 binary64) (*.f64 y y)) |
(- (+ (* 2 (pow y 2)) (* x (+ y (* -1 y)))) (* -1 (pow y 2))) |
(*.f64 #s(literal 3 binary64) (*.f64 y y)) |
(- (+ (* 2 (pow y 2)) (* x (+ y (+ (* -1 y) (* x (+ 1 (/ (pow (+ y (* -1 y)) 2) (pow y 2)))))))) (* -1 (pow y 2))) |
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x)) |
(- (+ (* 2 (pow y 2)) (* x (+ y (+ (* -1 y) (* x (+ 1 (+ (/ (* x (* (+ 1 (/ (pow (+ y (* -1 y)) 2) (pow y 2))) (+ y (* -1 y)))) (pow y 2)) (/ (pow (+ y (* -1 y)) 2) (pow y 2))))))))) (* -1 (pow y 2))) |
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x)) |
(/ (pow x 2) y) |
(/.f64 (*.f64 x x) y) |
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(* (pow y 2) (+ 3 (+ (* -1 (/ x y)) (+ (/ x y) (+ (/ (pow x 2) (pow y 2)) (/ (pow (+ x (* -1 x)) 2) (pow y 2))))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 3 binary64)) y) y) |
(* (pow y 2) (+ 3 (+ (* -1 (/ x y)) (+ (/ x y) (+ (/ (* (+ x (* -1 x)) (+ (pow x 2) (pow (+ x (* -1 x)) 2))) (pow y 3)) (+ (/ (* (pow x 2) (+ x (* -1 x))) (pow y 3)) (+ (/ (pow x 2) (pow y 2)) (/ (pow (+ x (* -1 x)) 2) (pow y 2))))))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 3 binary64)) y) y) |
(/ (+ (* -1 (/ (pow x 3) y)) (pow x 2)) y) |
(/.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 y))) y) |
(/ (- (+ (/ (pow x 4) (pow y 2)) (pow x 2)) (/ (pow x 3) y)) y) |
(/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y) |
(/ (- (+ (* -1 (/ (pow x 5) (pow y 3))) (pow x 2)) (+ (* -1 (/ (pow x 4) (pow y 2))) (/ (pow x 3) y))) y) |
(/.f64 (-.f64 (-.f64 (*.f64 x x) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) y))) y) |
(* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1)) |
(*.f64 (neg.f64 y) y) |
(* (pow y 2) (- (* -1 (/ (+ (pow x 2) (pow (+ x (* -1 x)) 2)) (pow y 2))) (+ 1 (+ (* -1 (/ x y)) (/ x y))))) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 x (/.f64 x (*.f64 y y)))) y) y) |
(* (pow y 2) (- (* -1 (/ (+ (* (+ x (* -1 x)) (+ (pow x 2) (pow (+ x (* -1 x)) 2))) (* (pow x 2) (+ x (* -1 x)))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (+ (/ x y) (+ (/ (pow x 2) (pow y 2)) (/ (pow (+ x (* -1 x)) 2) (pow y 2)))))))) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 x (/.f64 x (*.f64 y y)))) y) y) |
(/ (+ (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y) |
(/.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) (neg.f64 y)) |
(/ (- (+ (* -1 (/ (pow x 4) (pow y 2))) (* -1 (pow x 2))) (/ (pow x 3) y)) y) |
(/.f64 (fma.f64 (neg.f64 x) x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 y)) (pow.f64 x #s(literal 3 binary64))) y)) y) |
(/ (- (+ (* -1 (/ (pow x 5) (pow y 3))) (* -1 (pow x 2))) (+ (/ (pow x 3) y) (/ (pow x 4) (pow y 2)))) y) |
(/.f64 (fma.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 y)) (pow.f64 x #s(literal 3 binary64))) y)) y) |
(* (pow y 2) (+ 1 (* -1 (/ (+ x (* -1 x)) y)))) |
(*.f64 y y) |
(* (pow y 2) (+ 1 (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (pow x 2) (pow (+ x (* -1 x)) 2)) y)))) y)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (neg.f64 x) x) y) y)) y) y) |
(* (pow y 2) (+ 1 (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* (+ x (* -1 x)) (+ (pow x 2) (pow (+ x (* -1 x)) 2))) (* (pow x 2) (+ x (* -1 x)))) y)) (+ (pow x 2) (pow (+ x (* -1 x)) 2))) y)))) y)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (neg.f64 x) x) y) y)) y) y) |
(* (pow y 2) (+ 3 (* -1 (/ (+ x (* -1 x)) y)))) |
(*.f64 #s(literal 3 binary64) (*.f64 y y)) |
(* (pow y 2) (+ 3 (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (pow x 2) (pow (+ x (* -1 x)) 2)) y)))) y)))) |
(*.f64 (*.f64 (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 (neg.f64 x) x) y) y)) y) y) |
(* (pow y 2) (+ 3 (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* (+ x (* -1 x)) (+ (pow x 2) (pow (+ x (* -1 x)) 2))) (* (pow x 2) (+ x (* -1 x)))) y)) (+ (pow x 2) (pow (+ x (* -1 x)) 2))) y)))) y)))) |
(*.f64 (*.f64 (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 (neg.f64 x) x) y) y)) y) y) |
(* -1 (/ (+ (* -1 (pow x 2)) (/ (pow x 3) y)) y)) |
(/.f64 (fma.f64 (neg.f64 x) x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) (neg.f64 y)) |
(* -1 (/ (+ (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (* -1 (pow x 2))) y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y))) y) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 5) y) (pow x 4)) y)) (pow x 3)) y)) (* -1 (pow x 2))) y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x x (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) y) #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) y) (pow.f64 x #s(literal 3 binary64))) y))) y) |
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1)) |
(*.f64 (neg.f64 y) y) |
(* (pow y 2) (- (* -1 (/ (- (+ (/ (pow x 2) y) (/ (pow (+ x (* -1 x)) 2) y)) (+ x (* -1 x))) y)) 1)) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 x (/.f64 x (*.f64 y y)))) y) y) |
(* (pow y 2) (- (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ x (* -1 x)) (+ (pow x 2) (pow (+ x (* -1 x)) 2))) y) (/ (* (pow x 2) (+ x (* -1 x))) y)) (+ (pow x 2) (pow (+ x (* -1 x)) 2))) y)) (+ x (* -1 x))) y)) 1)) |
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (neg.f64 x) x) y) y)) #s(literal -1 binary64)) y) y) |
(* -1 (/ (+ (/ (pow x 3) y) (pow x 2)) y)) |
(/.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) (neg.f64 y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow x 4) y)) (pow x 3)) y)) (pow x 2)) y)) |
(/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 y)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 y))) (neg.f64 y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 5) y) (* -1 (pow x 4))) y)) (pow x 3)) y)) (pow x 2)) y)) |
(/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) y) (pow.f64 x #s(literal 4 binary64))) (neg.f64 y)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 y))) (neg.f64 y)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 318 |
| 0 | 75 | 252 |
| 1 | 331 | 188 |
| 2 | 3134 | 101 |
| 0 | 11315 | 101 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 y (+.f64 y y) (*.f64 y y)) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y))) |
(*.f64 y y) |
(+.f64 y y) |
#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) |
(/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 (*.f64 y #s(literal 2 binary64)) y)) (*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) y) (*.f64 y y))) (*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) y) (-.f64 (*.f64 y #s(literal 2 binary64)) y))) |
(-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 (*.f64 y #s(literal 2 binary64)) y)) (*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) y) (*.f64 y y))) |
(-.f64 (*.f64 y #s(literal 2 binary64)) y) |
(fma.f64 y (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 (*.f64 y #s(literal 2 binary64)) y)) (*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) y) (*.f64 y y))) (*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) y) (-.f64 (*.f64 y #s(literal 2 binary64)) y))) (*.f64 x x)) |
(neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y)))) |
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (fma.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (/.f64 (*.f64 x x) (-.f64 x y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y)))))) |
(*.f64 #s(literal 2 binary64) y) |
(/.f64 (*.f64 x x) (+.f64 x y)) |
(*.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 (*.f64 y #s(literal 2 binary64)) y)) |
(*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) y) (*.f64 y y)) |
(/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) |
(/.f64 (*.f64 x x) (-.f64 x y)) |
(fma.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (/.f64 (*.f64 x x) (-.f64 x y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))))) |
| Outputs |
|---|
(*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 y y)) |
(*.f64 (/.f64 y #s(literal -1/3 binary64)) y) |
(*.f64 (/.f64 y y) (*.f64 y y)) |
(*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 y y)) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal -2 binary64)) y)) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 y y) |
(*.f64 #s(literal 1 binary64) (*.f64 y y)) |
(*.f64 #s(literal 3 binary64) (*.f64 y y)) |
(pow.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 y (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 y y) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64)) |
(pow.f64 y #s(literal 2 binary64)) |
(pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 y y))) (pow.f64 y #s(literal 3 binary64))) |
(/.f64 (neg.f64 (*.f64 (*.f64 y y) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 y #s(literal 3 binary64))) |
(/.f64 (*.f64 (*.f64 y y) (pow.f64 y #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64))) (neg.f64 (-.f64 (*.f64 y y) #s(literal 0 binary64)))) |
(/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 y y)) (pow.f64 y #s(literal 3 binary64))) |
(/.f64 (pow.f64 y #s(literal 6 binary64)) (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64))))) |
(/.f64 (pow.f64 y #s(literal 6 binary64)) (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64)))) |
(/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64))) |
(/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 4 binary64))) |
(/.f64 (*.f64 y y) #s(literal -1 binary64)) |
(/.f64 (*.f64 y y) #s(literal 1 binary64)) |
(/.f64 (pow.f64 y #s(literal 9 binary64)) (neg.f64 (*.f64 y (pow.f64 y #s(literal 6 binary64))))) |
(/.f64 (pow.f64 y #s(literal 9 binary64)) (*.f64 y (pow.f64 y #s(literal 6 binary64)))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 y y) #s(literal 0 binary64))) |
(/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 y y)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (pow.f64 y #s(literal 3 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64)) (pow.f64 y #s(literal 6 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 y y) (pow.f64 y #s(literal 4 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 y #s(literal -2 binary64)))) |
(/.f64 (pow.f64 y #s(literal 3 binary64)) y) |
(/.f64 y (pow.f64 y #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64)) (pow.f64 y #s(literal 6 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 y #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (pow.f64 y #s(literal 4 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))) |
(neg.f64 (*.f64 y y)) |
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 y y) #s(literal 0 binary64)) |
(fma.f64 (/.f64 y #s(literal -1/3 binary64)) y #s(literal 0 binary64)) |
(fma.f64 (/.f64 y y) (*.f64 y y) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (*.f64 y y) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal -2 binary64)) y) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 y y #s(literal 0 binary64)) |
(fma.f64 y #s(literal 0 binary64) (*.f64 y y)) |
(fma.f64 #s(literal 1 binary64) (*.f64 y y) #s(literal 0 binary64)) |
(fma.f64 #s(literal 3 binary64) (*.f64 y y) #s(literal 0 binary64)) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y (pow.f64 y #s(literal 6 binary64)))) (*.f64 y y)) |
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 y y) #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) #s(literal 0 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64))) (*.f64 y y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1 binary64))) (*.f64 y y)) |
(-.f64 #s(literal 0 binary64) (*.f64 y y)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal -2 binary64))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
(+.f64 (*.f64 y y) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (*.f64 y y)) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 y y)) |
(*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 y y)) |
(*.f64 (/.f64 y #s(literal -1/3 binary64)) y) |
(*.f64 (/.f64 y y) (*.f64 y y)) |
(*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 y y)) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal -2 binary64)) y)) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 y y) |
(*.f64 #s(literal 1 binary64) (*.f64 y y)) |
(*.f64 #s(literal 3 binary64) (*.f64 y y)) |
(pow.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 y (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 y y) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64)) |
(pow.f64 y #s(literal 2 binary64)) |
(pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 y y))) (pow.f64 y #s(literal 3 binary64))) |
(/.f64 (neg.f64 (*.f64 (*.f64 y y) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 y #s(literal 3 binary64))) |
(/.f64 (*.f64 (*.f64 y y) (pow.f64 y #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64))) (neg.f64 (-.f64 (*.f64 y y) #s(literal 0 binary64)))) |
(/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 y y)) (pow.f64 y #s(literal 3 binary64))) |
(/.f64 (pow.f64 y #s(literal 6 binary64)) (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64))))) |
(/.f64 (pow.f64 y #s(literal 6 binary64)) (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64)))) |
(/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64))) |
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(fma.f64 #s(literal 0 binary64) y (pow.f64 (-.f64 x y) #s(literal 2 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 y y) (*.f64 x x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 y y) (fma.f64 x x #s(literal 0 binary64))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) #s(literal 0 binary64))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) |
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x)) |
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (fma.f64 x x #s(literal 0 binary64))) |
(fma.f64 x (*.f64 (/.f64 x (-.f64 x y)) (*.f64 (/.f64 x (-.f64 x y)) x)) (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) #s(literal 0 binary64))) |
(fma.f64 x (*.f64 (/.f64 x (-.f64 x y)) (*.f64 (/.f64 x (-.f64 x y)) x)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) |
(fma.f64 x (-.f64 x y) (*.f64 y (-.f64 x y))) |
(fma.f64 x x (*.f64 y y)) |
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64))) (-.f64 (pow.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64))))) (/.f64 (/.f64 (pow.f64 y #s(literal 12 binary64)) (pow.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64))) (-.f64 (pow.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (/.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64))) (neg.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (/.f64 (/.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 x y)) (-.f64 x y)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 x y) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 x y))) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 x y)) (neg.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) (*.f64 (-.f64 x y) (neg.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64))))) (/.f64 (*.f64 (-.f64 x y) (pow.f64 y #s(literal 4 binary64))) (*.f64 (-.f64 x y) (neg.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)))))) |
(-.f64 (/.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 x y)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (pow.f64 (-.f64 x y) #s(literal 3 binary64))) (/.f64 (*.f64 (-.f64 x y) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (-.f64 x y) #s(literal 3 binary64)))) |
(-.f64 (/.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 x y)) (*.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (pow.f64 y #s(literal -4 binary64)))) (*.f64 (-.f64 x y) (*.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (pow.f64 y #s(literal -4 binary64))))) (/.f64 (*.f64 (-.f64 x y) #s(literal 1 binary64)) (*.f64 (-.f64 x y) (*.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (pow.f64 y #s(literal -4 binary64)))))) |
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 x y)) (pow.f64 (-.f64 x y) #s(literal 3 binary64))) (/.f64 (*.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 x y))) (pow.f64 (-.f64 x y) #s(literal 3 binary64)))) |
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))) |
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (pow.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (pow.f64 y #s(literal -4 binary64)))) (*.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (pow.f64 y #s(literal -4 binary64))))) (/.f64 (*.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (pow.f64 y #s(literal -4 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 0 binary64)))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 y y) (fma.f64 x x #s(literal 0 binary64)))) (/.f64 (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 y y) (fma.f64 x x #s(literal 0 binary64))))) |
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) #s(literal 0 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (/.f64 (/.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) y) y)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) y) y))))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) |
(-.f64 (+.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) |
(-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) #s(literal 0 binary64)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) #s(literal 0 binary64))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64))))) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) |
(-.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 y y)) |
(+.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) #s(literal 0 binary64)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) |
(+.f64 (*.f64 x (-.f64 x y)) (*.f64 y (-.f64 x y))) |
(+.f64 (*.f64 (-.f64 x y) x) (*.f64 (-.f64 x y) y)) |
(+.f64 (*.f64 (-.f64 x y) y) (*.f64 (-.f64 x y) x)) |
(+.f64 (*.f64 y y) (*.f64 x x)) |
(+.f64 (*.f64 y y) (fma.f64 x x #s(literal 0 binary64))) |
(+.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) #s(literal 0 binary64)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) |
(+.f64 (*.f64 y (-.f64 x y)) (*.f64 x (-.f64 x y))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) #s(literal 0 binary64))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) |
(+.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) #s(literal 0 binary64))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) |
(+.f64 (*.f64 x x) (*.f64 y y)) |
(+.f64 #s(literal 0 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) |
(+.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 y y)) |
Compiled 23 156 to 2 548 computations (89% saved)
10 alts after pruning (6 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 810 | 6 | 816 |
| Fresh | 0 | 0 | 0 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 813 | 10 | 823 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 79.4% | (fma.f64 y y (*.f64 x x)) |
| ▶ | 79.4% | (fma.f64 x x (*.f64 y y)) |
| ✓ | 99.9% | (fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x)) |
| ✓ | 58.0% | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y))) |
| 57.9% | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 y (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 3 binary64)))) | |
| ▶ | 57.9% | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 y (/.f64 #s(literal 1/3 binary64) y))) |
| ✓ | 58.0% | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) |
| ▶ | 38.0% | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 y y)) |
| ▶ | 55.5% | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) |
| ✓ | 57.9% | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y))) |
Compiled 262 to 139 computations (46.9% saved)
| 1× | egg-herbie |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 1/3 binary64) y) | |
| cost-diff | 0 | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 y (/.f64 #s(literal 1/3 binary64) y))) | |
| cost-diff | 384 | (/.f64 y (/.f64 #s(literal 1/3 binary64) y)) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (fma.f64 x x (*.f64 y y)) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 y y)) | |
| 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 x x) | |
| cost-diff | 0 | (fma.f64 y y (*.f64 x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 96 |
| 0 | 23 | 96 |
| 1 | 30 | 90 |
| 2 | 42 | 81 |
| 3 | 54 | 81 |
| 4 | 62 | 81 |
| 5 | 65 | 81 |
| 0 | 65 | 78 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 y y (*.f64 x x)) |
y |
(*.f64 x x) |
x |
#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)) (*.f64 y y)) |
(*.f64 y y) |
y |
(fma.f64 x x (*.f64 y y)) |
x |
(*.f64 y y) |
y |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 y (/.f64 #s(literal 1/3 binary64) y))) |
(/.f64 y (/.f64 #s(literal 1/3 binary64) y)) |
y |
(/.f64 #s(literal 1/3 binary64) y) |
#s(literal 1/3 binary64) |
| Outputs |
|---|
(fma.f64 y y (*.f64 x x)) |
(fma.f64 x x (*.f64 y y)) |
y |
(*.f64 x x) |
x |
#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)) (*.f64 y y)) |
(*.f64 y y) |
y |
(fma.f64 x x (*.f64 y y)) |
x |
(*.f64 y y) |
y |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 y (/.f64 #s(literal 1/3 binary64) y))) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 (*.f64 y y) #s(literal 1/3 binary64))) |
(/.f64 y (/.f64 #s(literal 1/3 binary64) y)) |
(/.f64 (*.f64 y y) #s(literal 1/3 binary64)) |
y |
(/.f64 #s(literal 1/3 binary64) y) |
#s(literal 1/3 binary64) |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.125 | (/.f64 y (/.f64 #s(literal 1/3 binary64) y)) | |
| accuracy | 0.36328125 | (/.f64 #s(literal 1/3 binary64) y) | |
| accuracy | 26.854623636571485 | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 y (/.f64 #s(literal 1/3 binary64) y))) | |
| accuracy | 0.0 | (fma.f64 x x (*.f64 y y)) | |
| accuracy | 0.0 | (*.f64 y y) | |
| accuracy | 0.0 | (*.f64 y y) | |
| accuracy | 39.70766613329062 | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 y y)) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 28.485685290426428 | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.0078125 | (fma.f64 y y (*.f64 x x)) |
| 34.0ms | 256× | 0 | valid |
Compiled 188 to 30 computations (84% saved)
ival-add: 4.0ms (27% of total)ival-mult: 4.0ms (27% of total)ival-div: 3.0ms (20.3% of total)const: 3.0ms (20.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 y y (*.f64 x x)) |
(*.f64 x x) |
#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)) |
(*.f64 y y) |
(fma.f64 x x (*.f64 y y)) |
(/.f64 y (/.f64 #s(literal 1/3 binary64) y)) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 y (/.f64 #s(literal 1/3 binary64) y))) |
(/.f64 #s(literal 1/3 binary64) y) |
| Outputs |
|---|
(pow y 2) |
(+ (pow x 2) (pow y 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 (/ (pow y 2) (pow x 2)))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(* 3 (pow y 2)) |
(/ 1/3 y) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | ((+ (* y y) (* x x)) (* x x) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* y y) (+ (* x x) (* y y)) (/ y (/ 1/3 y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/ 1/3 y)) |
| 1.0ms | y | @ | inf | ((+ (* y y) (* x x)) (* x x) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* y y) (+ (* x x) (* y y)) (/ y (/ 1/3 y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/ 1/3 y)) |
| 1.0ms | y | @ | -inf | ((+ (* y y) (* x x)) (* x x) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* y y) (+ (* x x) (* y y)) (/ y (/ 1/3 y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/ 1/3 y)) |
| 1.0ms | y | @ | 0 | ((+ (* y y) (* x x)) (* x x) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* y y) (+ (* x x) (* y y)) (/ y (/ 1/3 y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/ 1/3 y)) |
| 1.0ms | x | @ | inf | ((+ (* y y) (* x x)) (* x x) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* y y) (+ (* x x) (* y y)) (/ y (/ 1/3 y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/ 1/3 y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 92 |
| 1 | 73 | 76 |
| 2 | 188 | 76 |
| 3 | 733 | 76 |
| 4 | 2379 | 76 |
| 5 | 3464 | 76 |
| 6 | 4926 | 76 |
| 7 | 6399 | 76 |
| 8 | 7562 | 76 |
| 0 | 8245 | 69 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow y 2) |
(+ (pow x 2) (pow y 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 (/ (pow y 2) (pow x 2)))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(* 3 (pow y 2)) |
(/ 1/3 y) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
| Outputs |
|---|
(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) |
(+ (* 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 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x)) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(fma.f64 x x (*.f64 y y)) |
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) |
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x)) |
(+ (* 3 (pow y 2)) (pow x 2)) |
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x)) |
(* 3 (pow y 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 y y)) |
(/ 1/3 y) |
(/.f64 #s(literal 1/3 binary64) y) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(fma.f64 x x (*.f64 y y)) |
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) |
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 82 |
| 0 | 23 | 82 |
| 1 | 88 | 76 |
| 2 | 779 | 67 |
| 0 | 8721 | 64 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 y y (*.f64 x x)) |
(*.f64 x x) |
#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)) |
(*.f64 y y) |
(fma.f64 x x (*.f64 y y)) |
(/.f64 y (/.f64 #s(literal 1/3 binary64) y)) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 y (/.f64 #s(literal 1/3 binary64) y))) |
(/.f64 #s(literal 1/3 binary64) y) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (+.f64 y x)) (+.f64 y x)) |
(*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (+.f64 x y)) (+.f64 x y)) |
(*.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (+.f64 y x)) (-.f64 y x)))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (+.f64 x y)) (-.f64 x y)))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)))))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.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 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (*.f64 (+.f64 x y) (-.f64 x y)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y y))) |
(*.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 (fma.f64 x x (*.f64 y y)) (pow.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(*.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 (fma.f64 x x (*.f64 y y)) (pow.f64 (+.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))) #s(literal -1 binary64)))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (+.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))) #s(literal -1 binary64))) |
(*.f64 (+.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 (fma.f64 x x (*.f64 y y)) (pow.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(*.f64 (+.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 (fma.f64 x x (*.f64 y y)) (pow.f64 (+.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))) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (pow.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (pow.f64 (*.f64 (+.f64 x y) (-.f64 x y)) #s(literal -1 binary64)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y y))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 y x) (-.f64 y x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 y x) (-.f64 y x)))) (*.f64 (/.f64 (pow.f64 x #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 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 (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y)))) (*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))))) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 y x) (-.f64 y x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 y x) (-.f64 y x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 y x) (-.f64 y x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 y x) (-.f64 y x))) (fma.f64 (/.f64 (pow.f64 x #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 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 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (*.f64 (neg.f64 (+.f64 y x)) (-.f64 y x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 (*.f64 (neg.f64 (+.f64 x y)) (-.f64 x y)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))))) (neg.f64 (neg.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))))) (neg.f64 (neg.f64 (+.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 (*.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 y x) (-.f64 y x))) (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 (*.f64 (+.f64 x y) (-.f64 x y)) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (neg.f64 (+.f64 y x)) (-.f64 y x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 (neg.f64 (+.f64 x y)) (-.f64 x y))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (+.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 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y y))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (+.f64 y x) (-.f64 y x))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (+.f64 x y) (-.f64 x y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y y))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y y)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (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)))) |
(neg.f64 (neg.f64 (fma.f64 x x (*.f64 y y)))) |
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 y x)) (/.f64 y (-.f64 y x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 y x) (-.f64 y x))))) |
(fma.f64 (/.f64 (*.f64 y y) (+.f64 y x)) (/.f64 (*.f64 y y) (-.f64 y x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 y x) (-.f64 y x))))) |
(fma.f64 (/.f64 y (+.f64 y x)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 y x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 y x) (-.f64 y x))))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 x y)) (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))))) |
(fma.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (/.f64 (*.f64 x x) (-.f64 x y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))))) |
(fma.f64 (/.f64 x (+.f64 x y)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))))) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 y y)) |
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) (*.f64 x x)) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 x y) (-.f64 x y)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))))) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 y x) (-.f64 y x))))) |
(fma.f64 x x (*.f64 y y)) |
(fma.f64 y y (*.f64 x x)) |
(-.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 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y)))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 y x) (-.f64 y x))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))))) |
(+.f64 (*.f64 y y) (*.f64 x x)) |
(+.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 x x) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 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)) |
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y))) |
(*.f64 y y) |
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 1 binary64)) |
(pow.f64 y #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
(*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (+.f64 y x)) (+.f64 y x)) |
(*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (+.f64 x y)) (+.f64 x y)) |
(*.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (+.f64 y x)) (-.f64 y x)))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (+.f64 x y)) (-.f64 x y)))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)))))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.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 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (*.f64 (+.f64 x y) (-.f64 x y)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y y))) |
(*.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 (fma.f64 x x (*.f64 y y)) (pow.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(*.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 (fma.f64 x x (*.f64 y y)) (pow.f64 (+.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))) #s(literal -1 binary64)))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (+.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))) #s(literal -1 binary64))) |
(*.f64 (+.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 (fma.f64 x x (*.f64 y y)) (pow.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(*.f64 (+.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 (fma.f64 x x (*.f64 y y)) (pow.f64 (+.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))) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (pow.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (pow.f64 (*.f64 (+.f64 x y) (-.f64 x y)) #s(literal -1 binary64)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y y))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 y x) (-.f64 y x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 y x) (-.f64 y x)))) (*.f64 (/.f64 (pow.f64 x #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 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 (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y)))) (*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))))) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 y x) (-.f64 y x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 y x) (-.f64 y x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 y x) (-.f64 y x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 y x) (-.f64 y x))) (fma.f64 (/.f64 (pow.f64 x #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 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 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (*.f64 (neg.f64 (+.f64 y x)) (-.f64 y x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 (*.f64 (neg.f64 (+.f64 x y)) (-.f64 x y)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))))) (neg.f64 (neg.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))))) (neg.f64 (neg.f64 (+.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 (*.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 y x) (-.f64 y x))) (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 (*.f64 (+.f64 x y) (-.f64 x y)) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (neg.f64 (+.f64 y x)) (-.f64 y x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 (neg.f64 (+.f64 x y)) (-.f64 x y))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (+.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 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y y))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (+.f64 y x) (-.f64 y x))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (+.f64 x y) (-.f64 x y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y y))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y y)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (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)))) |
(neg.f64 (neg.f64 (fma.f64 x x (*.f64 y y)))) |
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 y x)) (/.f64 y (-.f64 y x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 y x) (-.f64 y x))))) |
(fma.f64 (/.f64 (*.f64 y y) (+.f64 y x)) (/.f64 (*.f64 y y) (-.f64 y x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 y x) (-.f64 y x))))) |
(fma.f64 (/.f64 y (+.f64 y x)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 y x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 y x) (-.f64 y x))))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 x y)) (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))))) |
(fma.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (/.f64 (*.f64 x x) (-.f64 x y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))))) |
(fma.f64 (/.f64 x (+.f64 x y)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))))) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 y y)) |
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) (*.f64 x x)) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 x y) (-.f64 x y)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))))) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 y x) (-.f64 y x))))) |
(fma.f64 x x (*.f64 y y)) |
(fma.f64 y y (*.f64 x x)) |
(-.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 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y)))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 y x) (-.f64 y x))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))))) |
(+.f64 (*.f64 y y) (*.f64 x x)) |
(+.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) y) #s(literal -1 binary64)) y) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 #s(literal -3 binary64) y)) |
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) y) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) y) y) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 y (pow.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)) |
(*.f64 (*.f64 #s(literal -3 binary64) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))) |
(*.f64 (*.f64 #s(literal -3 binary64) y) (neg.f64 y)) |
(*.f64 #s(literal -3 binary64) (/.f64 (neg.f64 y) (pow.f64 y #s(literal -1 binary64)))) |
(*.f64 #s(literal -3 binary64) (/.f64 y (/.f64 #s(literal -1 binary64) y))) |
(*.f64 #s(literal -3 binary64) (*.f64 (neg.f64 y) y)) |
(*.f64 #s(literal -1 binary64) (/.f64 y (/.f64 #s(literal -1/3 binary64) y))) |
(*.f64 (*.f64 #s(literal 3 binary64) y) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 3 binary64) y) y) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) |
(*.f64 #s(literal 3 binary64) (/.f64 y (pow.f64 y #s(literal -1 binary64)))) |
(*.f64 #s(literal 3 binary64) (pow.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) y) #s(literal -1 binary64))) |
(*.f64 #s(literal 3 binary64) (*.f64 y y)) |
(*.f64 (neg.f64 y) (*.f64 #s(literal -3 binary64) y)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(*.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) y))) |
(*.f64 y (fma.f64 #s(literal 2 binary64) y y)) |
(*.f64 y (*.f64 #s(literal 3 binary64) y)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) y) y) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 (*.f64 y y) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (fma.f64 y y #s(literal 0 binary64))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 (*.f64 y y) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) |
(/.f64 (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 y y))))) |
(/.f64 (*.f64 #s(literal -3 binary64) y) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 (*.f64 (neg.f64 y) y) #s(literal -1/3 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1/3 binary64) y) y)) |
(/.f64 (*.f64 #s(literal 3 binary64) y) (pow.f64 y #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) y) y)) |
(/.f64 (neg.f64 y) (/.f64 #s(literal -1/3 binary64) y)) |
(/.f64 (*.f64 y y) #s(literal 1/3 binary64)) |
(/.f64 y (/.f64 #s(literal 1/3 binary64) y)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) y) y))) |
(neg.f64 (*.f64 (*.f64 #s(literal -3 binary64) y) y)) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal -1/3 binary64) y)))) |
(neg.f64 (/.f64 y (/.f64 #s(literal -1/3 binary64) y))) |
(fma.f64 (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (*.f64 y y)) |
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64)) (*.f64 y y)) |
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (*.f64 y y)) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y)) |
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64))) (*.f64 y y)) |
(fma.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 y y)) |
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (*.f64 y y)) |
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 y y)) |
(fma.f64 #s(literal 2 binary64) (*.f64 y y) (*.f64 y y)) |
(fma.f64 y (*.f64 #s(literal 2 binary64) y) (*.f64 y y)) |
(fma.f64 y y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/3 binary64) y)) (/.f64 y (/.f64 #s(literal -1/3 binary64) y))) |
(-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 #s(literal -1/3 binary64) y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) y) y)) #s(literal -1 binary64))) |
(+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 y y)) |
(+.f64 (*.f64 y y) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) |
(*.f64 (pow.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) y)) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) y)) |
(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal -1 binary64))) |
(pow.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) y)) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)) |
(/.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1 binary64)) |
(/.f64 #s(literal -1/3 binary64) (neg.f64 y)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1 binary64)) |
(/.f64 #s(literal 1/3 binary64) y) |
(neg.f64 (/.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal 1 binary64))) |
(neg.f64 (/.f64 #s(literal -1/3 binary64) y)) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/3 binary64) y)) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 3 binary64) y)) #s(literal -1 binary64))) |
Compiled 3 813 to 456 computations (88% saved)
11 alts after pruning (2 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 166 | 2 | 168 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 4 | 4 |
| Total | 167 | 11 | 178 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 79.4% | (fma.f64 y y (*.f64 x x)) |
| ✓ | 79.4% | (fma.f64 x x (*.f64 y y)) |
| ✓ | 99.9% | (fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x)) |
| ✓ | 58.0% | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y))) |
| 57.9% | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 (*.f64 y y) #s(literal 1/3 binary64))) | |
| 57.9% | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 (*.f64 #s(literal -3 binary64) y) (/.f64 #s(literal -1 binary64) y))) | |
| ✓ | 57.9% | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 y (/.f64 #s(literal 1/3 binary64) y))) |
| ✓ | 58.0% | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) |
| ✓ | 38.0% | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 y y)) |
| ✓ | 55.5% | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) |
| ✓ | 57.9% | #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y))) |
Compiled 589 to 190 computations (67.7% saved)
| Inputs |
|---|
#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 #s(literal 3 binary64) (*.f64 y y))) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) |
(fma.f64 x x (*.f64 y y)) |
(fma.f64 y y (*.f64 x x)) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y))) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 (*.f64 y y) #s(literal 1/3 binary64))) |
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x)) |
(fma.f64 y (fma.f64 #s(literal 2 binary64) y y) (*.f64 x x)) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 y (/.f64 #s(literal 1/3 binary64) y))) |
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (fma.f64 y y (*.f64 x x))) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)))) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 (*.f64 #s(literal -3 binary64) y) (/.f64 #s(literal -1 binary64) y))) |
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) |
(fma.f64 y (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 (*.f64 y #s(literal 2 binary64)) y)) (*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) y) (*.f64 y y))) (*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) y) (-.f64 (*.f64 y #s(literal 2 binary64)) y))) (*.f64 x x)) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 y (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 3 binary64)))) |
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (fma.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (/.f64 (*.f64 x x) (-.f64 x y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y)))))) |
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 y y (*.f64 x x))) |
(+.f64 (fma.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (-.f64 y x))) (*.f64 y y)) (*.f64 y y)) |
| Outputs |
|---|
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (fma.f64 y y (*.f64 x x))) |
5 calls:
| 71.0ms | (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) |
| 21.0ms | x |
| 6.0ms | y |
| 5.0ms | (*.f64 y y) |
| 5.0ms | (*.f64 x x) |
| 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)) (*.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 #s(literal 3 binary64) (*.f64 y y))) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) |
(fma.f64 x x (*.f64 y y)) |
(fma.f64 y y (*.f64 x x)) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y))) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 (*.f64 y y) #s(literal 1/3 binary64))) |
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x)) |
(fma.f64 y (fma.f64 #s(literal 2 binary64) y y) (*.f64 x x)) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 y (/.f64 #s(literal 1/3 binary64) y))) |
| Outputs |
|---|
(fma.f64 y (fma.f64 #s(literal 2 binary64) y y) (*.f64 x x)) |
5 calls:
| 6.0ms | y |
| 4.0ms | x |
| 3.0ms | (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) |
| 3.0ms | (*.f64 y y) |
| 3.0ms | (*.f64 x x) |
| 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)) (*.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 #s(literal 3 binary64) (*.f64 y y))) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) |
(fma.f64 x x (*.f64 y y)) |
(fma.f64 y y (*.f64 x x)) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y))) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 (*.f64 y y) #s(literal 1/3 binary64))) |
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x)) |
| Outputs |
|---|
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x)) |
5 calls:
| 6.0ms | y |
| 3.0ms | x |
| 3.0ms | (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) |
| 3.0ms | (*.f64 y y) |
| 3.0ms | (*.f64 x x) |
| 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)) (*.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 #s(literal 3 binary64) (*.f64 y y))) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) |
(fma.f64 x x (*.f64 y y)) |
(fma.f64 y y (*.f64 x x)) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y))) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 (*.f64 y y) #s(literal 1/3 binary64))) |
| Outputs |
|---|
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y))) |
(fma.f64 x x (*.f64 y y)) |
5 calls:
| 5.0ms | x |
| 3.0ms | y |
| 3.0ms | (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) |
| 3.0ms | (*.f64 y y) |
| 2.0ms | (*.f64 x x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.5% | 2 | x |
| 85.6% | 2 | y |
| 83.0% | 3 | (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) |
| 90.5% | 2 | (*.f64 x x) |
| 85.6% | 2 | (*.f64 y y) |
Compiled 23 to 17 computations (26.1% saved)
| Inputs |
|---|
#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 #s(literal 3 binary64) (*.f64 y y))) |
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) |
(fma.f64 x x (*.f64 y y)) |
(fma.f64 y y (*.f64 x x)) |
| Outputs |
|---|
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) |
(fma.f64 x x (*.f64 y y)) |
2 calls:
| 3.0ms | x |
| 2.0ms | (*.f64 x x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.5% | 2 | x |
| 90.5% | 2 | (*.f64 x x) |
Compiled 4 to 5 computations (-25% saved)
| Inputs |
|---|
#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 #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)) |
| 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 (*.f64 #s(literal 3 binary64) y) y)) |
4 calls:
| 4.0ms | (*.f64 y y) |
| 2.0ms | x |
| 2.0ms | y |
| 2.0ms | (*.f64 x x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.7% | 2 | y |
| 84.7% | 2 | (*.f64 y y) |
| 84.1% | 2 | x |
| 84.1% | 2 | (*.f64 x x) |
Compiled 8 to 10 computations (-25% saved)
| Inputs |
|---|
#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 #s(literal 3 binary64) (*.f64 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 #s(literal 3 binary64) (*.f64 y y))) |
2 calls:
| 2.0ms | y |
| 1.0ms | (*.f64 y y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.7% | 2 | y |
| 84.7% | 2 | (*.f64 y y) |
Compiled 4 to 5 computations (-25% saved)
| Inputs |
|---|
#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)) |
| 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:
| 2.0ms | (*.f64 x x) |
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) |
| 1.0ms | (*.f64 y y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.3% | 2 | (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) |
| 68.2% | 2 | x |
| 68.2% | 2 | (*.f64 x x) |
| 76.4% | 2 | y |
| 76.4% | 2 | (*.f64 y y) |
Compiled 23 to 17 computations (26.1% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#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)) |
5 calls:
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) |
| 1.0ms | (*.f64 y y) |
| 1.0ms | (*.f64 x x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.5% | 1 | (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) |
| 55.5% | 1 | x |
| 55.5% | 1 | (*.f64 x x) |
| 55.5% | 1 | y |
| 55.5% | 1 | (*.f64 y y) |
Compiled 23 to 17 computations (26.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.3067017711392285e-226 | 1.0071781010198318e-224 |
Compiled 18 to 12 computations (33.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.3067017711392285e-226 | 1.0071781010198318e-224 |
Compiled 18 to 12 computations (33.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.1759525518227082e-10 | 1.207695300449744e-7 |
Compiled 14 to 12 computations (14.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 1.1759525518227082e-10 | 1.207695300449744e-7 |
| 4.0ms | 109× | 0 | valid |
| 2.0ms | 12× | 3 | valid |
| 0.0ms | 3× | 2 | valid |
| 0.0ms | 4× | 1 | valid |
Compiled 318 to 180 computations (43.4% saved)
ival-add: 2.0ms (48.7% of total)adjust: 1.0ms (24.4% of total)ival-mult: 1.0ms (24.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 2.226536725806233e+291 | 7.867076186914821e+293 |
| 6.0ms | 106× | 0 | valid |
| 1.0ms | 8× | 3 | valid |
| 1.0ms | 6× | 4 | valid |
| 0.0ms | 5× | 1 | valid |
| 0.0ms | 3× | 2 | valid |
Compiled 302 to 164 computations (45.7% saved)
ival-add: 4.0ms (59.9% of total)adjust: 1.0ms (15% of total)ival-mult: 1.0ms (15% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 252 |
| 1 | 47 | 234 |
| 2 | 56 | 216 |
| 3 | 67 | 216 |
| 4 | 76 | 216 |
| 5 | 85 | 216 |
| 6 | 93 | 216 |
| 7 | 111 | 216 |
| 8 | 127 | 216 |
| 9 | 135 | 216 |
| 10 | 148 | 216 |
| 11 | 219 | 216 |
| 12 | 1215 | 216 |
| 13 | 2273 | 216 |
| 14 | 2945 | 216 |
| 15 | 3810 | 216 |
| 16 | 5020 | 216 |
| 17 | 6894 | 216 |
| 18 | 7351 | 216 |
| 19 | 7640 | 216 |
| 20 | 7855 | 216 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (fma.f64 y y (*.f64 x x))) |
(fma.f64 y (fma.f64 #s(literal 2 binary64) y y) (*.f64 x x)) |
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x)) |
(if (<=.f64 (*.f64 x x) #s(literal 5334411546303883/26672057731519417096319407162885031188579033289263632641585031247056148951270528286085728803486217162971719642373732961783555206616477460321453424209323320184380630318056058233852313143647256098915860064543546407926762992149905845164655509504 binary64)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y))) (fma.f64 x x (*.f64 y y))) |
(if (<=.f64 (*.f64 x x) #s(literal 5334411546303883/26672057731519417096319407162885031188579033289263632641585031247056148951270528286085728803486217162971719642373732961783555206616477460321453424209323320184380630318056058233852313143647256098915860064543546407926762992149905845164655509504 binary64)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) (fma.f64 x x (*.f64 y y))) |
(if (<=.f64 (*.f64 y y) #s(literal 7737125245533627/38685626227668133590597632 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 (*.f64 #s(literal 3 binary64) y) y))) |
(if (<=.f64 (*.f64 y y) #s(literal 4835703278458517/604462909807314587353088 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 40000000000000000530263959134296650722746244358345840142528125911769970907617012858463917672157449998909498554263568363952491898600028103138206953210986926743629581261021098587444232750232858470317984807330649410342155342294546390088430246843766074240114997507336380714205155856460222902042624 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)) |
| Outputs |
|---|
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (fma.f64 y y (*.f64 x x))) |
(fma.f64 y (fma.f64 #s(literal 2 binary64) y y) (*.f64 x x)) |
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x)) |
(if (<=.f64 (*.f64 x x) #s(literal 5334411546303883/26672057731519417096319407162885031188579033289263632641585031247056148951270528286085728803486217162971719642373732961783555206616477460321453424209323320184380630318056058233852313143647256098915860064543546407926762992149905845164655509504 binary64)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y))) (fma.f64 x x (*.f64 y y))) |
(if (<=.f64 (*.f64 x x) #s(literal 5334411546303883/26672057731519417096319407162885031188579033289263632641585031247056148951270528286085728803486217162971719642373732961783555206616477460321453424209323320184380630318056058233852313143647256098915860064543546407926762992149905845164655509504 binary64)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) (fma.f64 x x (*.f64 y y))) |
(if (<=.f64 (*.f64 y y) #s(literal 7737125245533627/38685626227668133590597632 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 (*.f64 #s(literal 3 binary64) y) y))) |
(if (<=.f64 (*.f64 y y) #s(literal 4835703278458517/604462909807314587353088 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 40000000000000000530263959134296650722746244358345840142528125911769970907617012858463917672157449998909498554263568363952491898600028103138206953210986926743629581261021098587444232750232858470317984807330649410342155342294546390088430246843766074240114997507336380714205155856460222902042624 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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 318 |
| 0 | 75 | 252 |
| 1 | 331 | 188 |
| 2 | 3134 | 101 |
| 0 | 11315 | 101 |
| 0 | 30 | 121 |
| 1 | 86 | 105 |
| 2 | 215 | 105 |
| 3 | 851 | 105 |
| 4 | 2006 | 105 |
| 5 | 2640 | 105 |
| 6 | 4156 | 105 |
| 7 | 5632 | 105 |
| 8 | 6621 | 105 |
| 9 | 7899 | 105 |
| 0 | 8020 | 95 |
| 0 | 585 | 2239 |
| 1 | 1851 | 1653 |
| 2 | 7495 | 1633 |
| 0 | 8261 | 1557 |
| 0 | 25 | 115 |
| 0 | 41 | 96 |
| 1 | 159 | 89 |
| 2 | 1197 | 87 |
| 0 | 8481 | 86 |
| 0 | 7 | 39 |
| 0 | 12 | 39 |
| 1 | 54 | 35 |
| 2 | 517 | 29 |
| 3 | 7670 | 29 |
| 0 | 8277 | 26 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter 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× | node limit |
| 1× | iter limit |
Compiled 628 to 249 computations (60.4% saved)
(abs x)
(abs y)
Compiled 600 to 138 computations (77% saved)
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