Time bar (total: 1.3s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 0% | 99.9% | 0.1% | 1 |
| 0% | 99.9% | 0.1% | 2 |
| 0% | 99.9% | 0.1% | 3 |
| 0% | 99.9% | 0.1% | 4 |
| 25% | 74.9% | 0.1% | 5 |
| 25% | 62.4% | 12.6% | 6 |
| 25% | 50% | 25.1% | 7 |
| 31.2% | 37.5% | 31.3% | 8 |
| 39% | 24.2% | 36.8% | 9 |
| 42.9% | 18.3% | 38.7% | 10 |
| 47.2% | 11.9% | 40.9% | 11 |
| 49.4% | 9.1% | 41.6% | 12 |
| 51.6% | 5.9% | 42.5% | 13 |
| 52.7% | 4.5% | 42.8% | 14 |
Compiled 10 to 6 computations (40% saved)
| 734.0ms | 8256× | body | 128 | valid |
| 12.0ms | 154× | body | 128 | invalid |
| 2× | egg-herbie |
| 1509× | associate-+r+_binary64 |
| 637× | fma-neg_binary64 |
| 631× | fma-def_binary64 |
| 308× | unsub-neg_binary64 |
| 220× | distribute-rgt-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 20 |
| 1 | 17 | 20 |
| 2 | 53 | 20 |
| 3 | 144 | 20 |
| 4 | 414 | 20 |
| 5 | 939 | 20 |
| 6 | 1720 | 20 |
| 7 | 2367 | 20 |
| 8 | 3768 | 20 |
| 9 | 4266 | 20 |
| 10 | 4418 | 20 |
| 11 | 4456 | 20 |
| 12 | 4494 | 20 |
| 13 | 4494 | 20 |
| 14 | 4494 | 20 |
| 15 | 4496 | 20 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(*.f64 (+.f64 x y) (-.f64 x y)) |
(*.f64 (+.f64 y x) (-.f64 y x)) |
| Outputs |
|---|
(*.f64 (+.f64 x y) (-.f64 x y)) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (+.f64 y x) (-.f64 y x)) |
(*.f64 (+.f64 x y) (-.f64 y x)) |
(-.f64 (*.f64 y y) (*.f64 x x)) |
Compiled 9 to 5 computations (44.4% saved)
| 1× | egg-herbie |
| 2422× | fma-neg_binary64 |
| 713× | fma-def_binary64 |
| 211× | unsub-neg_binary64 |
| 193× | sub-neg_binary64 |
| 159× | distribute-rgt-out--_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 10 |
| 1 | 10 | 10 |
| 2 | 29 | 10 |
| 3 | 77 | 10 |
| 4 | 214 | 10 |
| 5 | 494 | 10 |
| 6 | 959 | 10 |
| 7 | 1758 | 10 |
| 8 | 3417 | 10 |
| 9 | 3930 | 10 |
| 10 | 4100 | 10 |
| 11 | 4142 | 10 |
| 12 | 4180 | 10 |
| 13 | 4180 | 10 |
| 14 | 4180 | 10 |
| 15 | 4182 | 10 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (+.f64 x y) (-.f64 x y)) |
| Outputs |
|---|
(*.f64 (+.f64 x y) (-.f64 x y)) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 1 | 2 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (*.f64 (+.f64 x y) (-.f64 x y)) |
Compiled 34 to 18 computations (47.1% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (+.f64 x y) (-.f64 x y)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.f64 (+.f64 x y) (-.f64 x y)) |
| 1.0ms | x | @ | -inf | (*.f64 (+.f64 x y) (-.f64 x y)) |
| 1.0ms | x | @ | inf | (*.f64 (+.f64 x y) (-.f64 x y)) |
| 0.0ms | y | @ | inf | (*.f64 (+.f64 x y) (-.f64 x y)) |
| 0.0ms | y | @ | 0 | (*.f64 (+.f64 x y) (-.f64 x y)) |
| 1× | batch-egg-rewrite |
| 789× | pow1_binary64 |
| 735× | log1p-expm1-u_binary64 |
| 735× | expm1-log1p-u_binary64 |
| 72× | add-sqr-sqrt_binary64 |
| 71× | *-un-lft-identity_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 10 |
| 1 | 134 | 10 |
| 2 | 1980 | 10 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (+.f64 x y) (-.f64 x y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) (neg.f64 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) (*.f64 (neg.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (fma.f64 (neg.f64 y) y (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (+.f64 x y)) (*.f64 (neg.f64 y) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 x y)) (*.f64 y (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (-.f64 x y)) (*.f64 x (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 x y) x) (*.f64 (+.f64 x y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 x y) x) (*.f64 (-.f64 x y) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 x y) y) (*.f64 (-.f64 x y) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x x) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (*.f64 x x) (*.f64 y y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 2) (-.f64 (*.f64 x x) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (fma.f64 x x (*.f64 y (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (-.f64 (*.f64 x x) (*.f64 y y))) (+.f64 (pow.f64 x 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (fma.f64 x x (*.f64 y (-.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 (+.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 (pow.f64 x 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 y y) 3)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (*.f64 x x) (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y y))) (+.f64 (*.f64 x x) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (-.f64 x y)) (fma.f64 x x (*.f64 y (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (-.f64 x y)) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (+.f64 x y)) (fma.f64 x x (*.f64 y (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (+.f64 x y)) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x y) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x y) (-.f64 (*.f64 x x) (*.f64 y y))) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 x y) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 x y) (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 x y)) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 x x) (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (-.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 (+.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (*.f64 x x) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x (neg.f64 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (*.f64 x x) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 x x) (*.f64 y y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (*.f64 x x) (*.f64 y y)))))))) |
| 1× | egg-herbie |
| 442× | unsub-neg_binary64 |
| 324× | difference-of-squares_binary64 |
| 308× | fma-def_binary64 |
| 219× | sub-neg_binary64 |
| 156× | associate--l+_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 300 |
| 1 | 79 | 192 |
| 2 | 262 | 180 |
| 3 | 468 | 180 |
| 4 | 1749 | 180 |
| 5 | 4279 | 180 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (pow.f64 y 2)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 (+.f64 y (*.f64 -1 y)) x)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (pow.f64 x 2) (*.f64 (+.f64 y (*.f64 -1 y)) x))) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (pow.f64 x 2) (*.f64 (+.f64 y (*.f64 -1 y)) x))) |
(pow.f64 x 2) |
(+.f64 (pow.f64 x 2) (*.f64 (+.f64 y (*.f64 -1 y)) x)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (pow.f64 x 2) (*.f64 (+.f64 y (*.f64 -1 y)) x))) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (pow.f64 x 2) (*.f64 (+.f64 y (*.f64 -1 y)) x))) |
(pow.f64 x 2) |
(+.f64 (pow.f64 x 2) (*.f64 (+.f64 y (*.f64 -1 y)) x)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (pow.f64 x 2) (*.f64 (+.f64 y (*.f64 -1 y)) x))) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (pow.f64 x 2) (*.f64 (+.f64 y (*.f64 -1 y)) x))) |
(pow.f64 x 2) |
(+.f64 (*.f64 y (+.f64 (*.f64 -1 x) x)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (*.f64 y (+.f64 (*.f64 -1 x) x)) (pow.f64 x 2))) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (*.f64 y (+.f64 (*.f64 -1 x) x)) (pow.f64 x 2))) |
(*.f64 -1 (pow.f64 y 2)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 y (+.f64 (*.f64 -1 x) x))) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (*.f64 y (+.f64 (*.f64 -1 x) x)) (pow.f64 x 2))) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (*.f64 y (+.f64 (*.f64 -1 x) x)) (pow.f64 x 2))) |
(*.f64 -1 (pow.f64 y 2)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 x) x)))) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 x) x))) (pow.f64 x 2))) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 x) x))) (pow.f64 x 2))) |
| Outputs |
|---|
(*.f64 -1 (pow.f64 y 2)) |
(neg.f64 (*.f64 y y)) |
(*.f64 y (neg.f64 y)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 (+.f64 y (*.f64 -1 y)) x)) |
(neg.f64 (*.f64 y y)) |
(*.f64 y (neg.f64 y)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (pow.f64 x 2) (*.f64 (+.f64 y (*.f64 -1 y)) x))) |
(fma.f64 -1 (*.f64 y y) (+.f64 (*.f64 (*.f64 0 y) x) (*.f64 x x))) |
(-.f64 (fma.f64 x x 0) (*.f64 y y)) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (pow.f64 x 2) (*.f64 (+.f64 y (*.f64 -1 y)) x))) |
(fma.f64 -1 (*.f64 y y) (+.f64 (*.f64 (*.f64 0 y) x) (*.f64 x x))) |
(-.f64 (fma.f64 x x 0) (*.f64 y y)) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (pow.f64 x 2) (*.f64 (+.f64 y (*.f64 -1 y)) x)) |
(*.f64 x x) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (pow.f64 x 2) (*.f64 (+.f64 y (*.f64 -1 y)) x))) |
(fma.f64 -1 (*.f64 y y) (+.f64 (*.f64 (*.f64 0 y) x) (*.f64 x x))) |
(-.f64 (fma.f64 x x 0) (*.f64 y y)) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (pow.f64 x 2) (*.f64 (+.f64 y (*.f64 -1 y)) x))) |
(fma.f64 -1 (*.f64 y y) (+.f64 (*.f64 (*.f64 0 y) x) (*.f64 x x))) |
(-.f64 (fma.f64 x x 0) (*.f64 y y)) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (pow.f64 x 2) (*.f64 (+.f64 y (*.f64 -1 y)) x)) |
(*.f64 x x) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (pow.f64 x 2) (*.f64 (+.f64 y (*.f64 -1 y)) x))) |
(fma.f64 -1 (*.f64 y y) (+.f64 (*.f64 (*.f64 0 y) x) (*.f64 x x))) |
(-.f64 (fma.f64 x x 0) (*.f64 y y)) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (pow.f64 x 2) (*.f64 (+.f64 y (*.f64 -1 y)) x))) |
(fma.f64 -1 (*.f64 y y) (+.f64 (*.f64 (*.f64 0 y) x) (*.f64 x x))) |
(-.f64 (fma.f64 x x 0) (*.f64 y y)) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (*.f64 y (+.f64 (*.f64 -1 x) x)) (pow.f64 x 2)) |
(*.f64 x x) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (*.f64 y (+.f64 (*.f64 -1 x) x)) (pow.f64 x 2))) |
(fma.f64 -1 (*.f64 y y) (+.f64 (*.f64 (*.f64 0 y) x) (*.f64 x x))) |
(-.f64 (fma.f64 x x 0) (*.f64 y y)) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (*.f64 y (+.f64 (*.f64 -1 x) x)) (pow.f64 x 2))) |
(fma.f64 -1 (*.f64 y y) (+.f64 (*.f64 (*.f64 0 y) x) (*.f64 x x))) |
(-.f64 (fma.f64 x x 0) (*.f64 y y)) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 -1 (pow.f64 y 2)) |
(neg.f64 (*.f64 y y)) |
(*.f64 y (neg.f64 y)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 y (+.f64 (*.f64 -1 x) x))) |
(neg.f64 (*.f64 y y)) |
(*.f64 y (neg.f64 y)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (*.f64 y (+.f64 (*.f64 -1 x) x)) (pow.f64 x 2))) |
(fma.f64 -1 (*.f64 y y) (+.f64 (*.f64 (*.f64 0 y) x) (*.f64 x x))) |
(-.f64 (fma.f64 x x 0) (*.f64 y y)) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (*.f64 y (+.f64 (*.f64 -1 x) x)) (pow.f64 x 2))) |
(fma.f64 -1 (*.f64 y y) (+.f64 (*.f64 (*.f64 0 y) x) (*.f64 x x))) |
(-.f64 (fma.f64 x x 0) (*.f64 y y)) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 -1 (pow.f64 y 2)) |
(neg.f64 (*.f64 y y)) |
(*.f64 y (neg.f64 y)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 x) x)))) |
(neg.f64 (*.f64 y y)) |
(*.f64 y (neg.f64 y)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 x) x))) (pow.f64 x 2))) |
(fma.f64 -1 (*.f64 y y) (+.f64 (*.f64 (*.f64 0 y) x) (*.f64 x x))) |
(-.f64 (fma.f64 x x 0) (*.f64 y y)) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 x) x))) (pow.f64 x 2))) |
(fma.f64 -1 (*.f64 y y) (+.f64 (*.f64 (*.f64 0 y) x) (*.f64 x x))) |
(-.f64 (fma.f64 x x 0) (*.f64 y y)) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 54 | 1 | 55 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 55 | 1 | 56 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0b | (+.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (fma.f64 (neg.f64 y) y (*.f64 y y))) |
Compiled 816 to 305 computations (62.6% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (*.f64 x x) (*.f64 y y)) |
| ✓ | 43.0b | (fma.f64 (neg.f64 y) y (*.f64 y y)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | (fma.f64 (neg.f64 y) y (*.f64 y y)) |
| 1.0ms | y | @ | 0 | (fma.f64 (neg.f64 y) y (*.f64 y y)) |
| 1.0ms | x | @ | 0 | (-.f64 (*.f64 x x) (*.f64 y y)) |
| 1.0ms | y | @ | -inf | (fma.f64 (neg.f64 y) y (*.f64 y y)) |
| 0.0ms | x | @ | inf | (-.f64 (*.f64 x x) (*.f64 y y)) |
| 1× | batch-egg-rewrite |
| 710× | log1p-expm1-u_binary64 |
| 710× | expm1-log1p-u_binary64 |
| 94× | add-sqr-sqrt_binary64 |
| 90× | *-un-lft-identity_binary64 |
| 90× | pow1_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 20 |
| 1 | 180 | 14 |
| 2 | 2564 | 14 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (neg.f64 y) y (*.f64 y y)) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y y) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 y y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (+.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y (+.f64 y y))) (pow.f64 (cbrt.f64 (*.f64 y (+.f64 y y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y (+.f64 y y))) 2) (cbrt.f64 (*.f64 y (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y (+.f64 y y))) (sqrt.f64 (*.f64 y (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 y 6) (pow.f64 y 6)) (+.f64 (pow.f64 y 4) (-.f64 (pow.f64 y 4) (pow.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 y 4) (pow.f64 y 4)) (-.f64 (*.f64 y y) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (+.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (+.f64 y y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (+.f64 y y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (+.f64 y y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (+.f64 y y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 y (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (+.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (+.f64 y y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (+.f64 y y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (+.f64 y y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y y) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (+.f64 y y)) (pow.f64 (+.f64 y x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) (+.f64 (*.f64 y y) (*.f64 y (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (+.f64 y x) 2) (*.f64 y (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (+.f64 y x) 2) (fma.f64 (*.f64 y y) 1 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (+.f64 y x) 2) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y y))) (cbrt.f64 (pow.f64 y 4)) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (+.f64 y x) 2) (+.f64 (*.f64 y (+.f64 y y)) (*.f64 y (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (pow.f64 (+.f64 y x) 2) (*.f64 y y)) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 y x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (+.f64 y x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 4) (pow.f64 y 4)) (/.f64 1 (pow.f64 (+.f64 y x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 y x) 2)) (cbrt.f64 (+.f64 (pow.f64 x 4) (pow.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) (pow.f64 y 4))) (cbrt.f64 (pow.f64 (+.f64 y x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 6) (pow.f64 y 6)) (/.f64 1 (+.f64 (+.f64 (pow.f64 x 4) (pow.f64 y 4)) (pow.f64 (*.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y x) (+.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (+.f64 (pow.f64 x 4) (pow.f64 y 4)) (pow.f64 (*.f64 x y) 2)) (-.f64 (pow.f64 x 6) (pow.f64 y 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 (+.f64 y x) 2) (+.f64 (pow.f64 x 4) (pow.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 4) (pow.f64 y 4)) (pow.f64 (+.f64 y x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 6) (pow.f64 y 6)) (+.f64 (+.f64 (pow.f64 x 4) (pow.f64 y 4)) (pow.f64 (*.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 6) (pow.f64 y 6))) (neg.f64 (+.f64 (+.f64 (pow.f64 x 4) (pow.f64 y 4)) (pow.f64 (*.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 4) (pow.f64 y 4))) (neg.f64 (pow.f64 (+.f64 y x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 6) (pow.f64 y 6)) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 y 4) (pow.f64 (*.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 y x) 2) 3) (pow.f64 (*.f64 y (+.f64 y y)) 3)) (+.f64 (+.f64 (pow.f64 x 4) (pow.f64 y 4)) (-.f64 (pow.f64 (*.f64 y (+.f64 y y)) 2) (*.f64 (pow.f64 (+.f64 y x) 2) (*.f64 y (+.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (pow.f64 x 4) (pow.f64 y 4)) (pow.f64 (*.f64 y (+.f64 y y)) 2)) (-.f64 (pow.f64 (+.f64 y x) 2) (*.f64 y (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 y x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (+.f64 y x) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (+.f64 y x) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 y x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (+.f64 (pow.f64 x 4) (pow.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (+.f64 y x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 y x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (+.f64 y x) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (+.f64 y x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x x) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (+.f64 y x) 2) (*.f64 y (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) (pow.f64 y 4))) (cbrt.f64 (pow.f64 (+.f64 y x) 2)) (*.f64 y (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x x)) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 y x) (+.f64 y x) (*.f64 y (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (+.f64 y x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 y x) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (+.f64 y x) 2))))))) |
| 1× | egg-herbie |
| 674× | fma-def_binary64 |
| 486× | unswap-sqr_binary64 |
| 264× | distribute-rgt-neg-in_binary64 |
| 217× | distribute-lft-neg-in_binary64 |
| 211× | distribute-rgt-in_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 240 |
| 1 | 22 | 222 |
| 2 | 42 | 222 |
| 3 | 86 | 222 |
| 4 | 224 | 222 |
| 5 | 722 | 222 |
| 6 | 1754 | 222 |
| 1× | node limit |
| Inputs |
|---|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
(*.f64 -1 (pow.f64 y 2)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(pow.f64 x 2) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(pow.f64 x 2) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(pow.f64 x 2) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(*.f64 -1 (pow.f64 y 2)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(*.f64 -1 (pow.f64 y 2)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
| Outputs |
|---|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
(*.f64 -1 (pow.f64 y 2)) |
(neg.f64 (*.f64 y y)) |
(*.f64 y (neg.f64 y)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(fma.f64 -1 (*.f64 y y) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(fma.f64 -1 (*.f64 y y) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(fma.f64 -1 (*.f64 y y) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(fma.f64 -1 (*.f64 y y) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(fma.f64 -1 (*.f64 y y) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(fma.f64 -1 (*.f64 y y) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(fma.f64 -1 (*.f64 y y) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(fma.f64 -1 (*.f64 y y) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(fma.f64 -1 (*.f64 y y) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(fma.f64 -1 (*.f64 y y) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(fma.f64 -1 (*.f64 y y) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(fma.f64 -1 (*.f64 y y) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 -1 (pow.f64 y 2)) |
(neg.f64 (*.f64 y y)) |
(*.f64 y (neg.f64 y)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(fma.f64 -1 (*.f64 y y) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(fma.f64 -1 (*.f64 y y) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(fma.f64 -1 (*.f64 y y) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 -1 (pow.f64 y 2)) |
(neg.f64 (*.f64 y y)) |
(*.f64 y (neg.f64 y)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(fma.f64 -1 (*.f64 y y) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(fma.f64 -1 (*.f64 y y) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(fma.f64 -1 (*.f64 y y) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
1 alts after pruning (0 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 72 | 0 | 72 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 72 | 1 | 73 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0b | (+.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (fma.f64 (neg.f64 y) y (*.f64 y y))) |
Compiled 1396 to 460 computations (67% saved)
Total 0.0b remaining (0%)
Threshold costs 0.0b (0%)
Compiled 81 to 35 computations (56.8% saved)
| 1× | egg-herbie |
| 4× | +-commutative_binary64 |
| 3× | sub-neg_binary64 |
| 2× | *-commutative_binary64 |
| 2× | neg-sub0_binary64 |
| 2× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 22 |
| 1 | 18 | 22 |
| 2 | 24 | 22 |
| 3 | 27 | 22 |
| 4 | 28 | 22 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (fma.f64 (neg.f64 y) y (*.f64 y y))) |
| Outputs |
|---|
(+.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (fma.f64 (neg.f64 y) y (*.f64 y y))) |
| 1× | done |
Compiled 49 to 16 computations (67.3% saved)
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