Time bar (total: 1.4s)
| 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% | 56.2% | 18.8% | 6 |
| 25% | 40.6% | 34.4% | 7 |
| 31.2% | 31.2% | 37.6% | 8 |
| 39% | 21.1% | 39.9% | 9 |
| 42.9% | 16% | 41.1% | 10 |
| 47.2% | 10.7% | 42% | 11 |
| 49.4% | 8.1% | 42.5% | 12 |
| 51.6% | 5.4% | 43% | 13 |
| 52.7% | 4.1% | 43.2% | 14 |
Compiled 10 to 5 computations (50% saved)
| 650.0ms | 8256× | body | 128 | valid |
| 6.0ms | 79× | body | 128 | invalid |
Compiled 20 to 10 computations (50% saved)
| 2× | egg-herbie |
| 70× | fma-def_binary64 |
| 24× | associate-+l+_binary64 |
| 18× | associate-+r+_binary64 |
| 10× | distribute-rgt-in_binary64 |
| 8× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 20 |
| 1 | 23 | 20 |
| 2 | 43 | 20 |
| 3 | 79 | 20 |
| 4 | 122 | 20 |
| 5 | 152 | 20 |
| 6 | 172 | 20 |
| 7 | 189 | 20 |
| 8 | 191 | 20 |
| 0 | 2 | 2 |
| 1 | 2 | 2 |
| 1× | unsound |
| 1× | saturated |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
0 |
| 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 y x) (+.f64 y x)) |
(*.f64 (+.f64 x y) (+.f64 x y)) |
(sort x y)
Compiled 9 to 4 computations (55.6% saved)
| 1× | egg-herbie |
| 70× | fma-def_binary64 |
| 24× | associate-+l+_binary64 |
| 18× | associate-+r+_binary64 |
| 10× | distribute-rgt-in_binary64 |
| 8× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 10 |
| 1 | 12 | 10 |
| 2 | 29 | 10 |
| 3 | 67 | 10 |
| 4 | 110 | 10 |
| 5 | 140 | 10 |
| 6 | 160 | 10 |
| 7 | 177 | 10 |
| 8 | 179 | 10 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (+.f64 x y) (+.f64 x y)) |
| Outputs |
|---|
(*.f64 (+.f64 x y) (+.f64 x y)) |
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 1 | 1 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 2 | 2 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (*.f64 (+.f64 x y) (+.f64 x y)) |
Compiled 27 to 12 computations (55.6% 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)) |
| 1.0ms | y | @ | -inf | (*.f64 (+.f64 x y) (+.f64 x y)) |
| 1.0ms | y | @ | inf | (*.f64 (+.f64 x y) (+.f64 x y)) |
| 1× | batch-egg-rewrite |
| 659× | pow1_binary64 |
| 618× | add-log-exp_binary64 |
| 618× | log1p-expm1-u_binary64 |
| 618× | expm1-log1p-u_binary64 |
| 63× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 1 | 115 | 7 |
| 2 | 1743 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (+.f64 x y) (+.f64 x y)) |
| Outputs |
|---|
((#(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 (+.f64 x y)) 1) (*.f64 (*.f64 y (+.f64 x y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 x y) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (-.f64 (*.f64 x x) (*.f64 y y))) (*.f64 (-.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 (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 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 (fma.f64 x x (*.f64 y (-.f64 y x))) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x y)) 3) (pow.f64 (*.f64 y (+.f64 x y)) 3)) (+.f64 (*.f64 (*.f64 x (+.f64 x y)) (*.f64 x (+.f64 x y))) (-.f64 (*.f64 (*.f64 y (+.f64 x y)) (*.f64 y (+.f64 x y))) (*.f64 (*.f64 x (+.f64 x y)) (*.f64 y (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (+.f64 x y)) (*.f64 x (+.f64 x y))) (*.f64 (*.f64 y (+.f64 x y)) (*.f64 y (+.f64 x y)))) (-.f64 (*.f64 x (+.f64 x y)) (*.f64 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 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 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 (+.f64 x y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (+.f64 x y) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (+.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (+.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (+.f64 x y) (*.f64 y (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x y) x (*.f64 y (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (+.f64 x y) 2))))))) |
| 1× | egg-herbie |
| 613× | fma-def_binary64 |
| 391× | sqr-pow_binary64 |
| 374× | *-commutative_binary64 |
| 372× | unswap-sqr_binary64 |
| 362× | associate-*l*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 294 |
| 1 | 32 | 267 |
| 2 | 69 | 222 |
| 3 | 151 | 216 |
| 4 | 412 | 216 |
| 5 | 1498 | 216 |
| 6 | 2779 | 216 |
| 7 | 3051 | 216 |
| 8 | 3237 | 216 |
| 9 | 3481 | 216 |
| 10 | 3784 | 216 |
| 11 | 4175 | 216 |
| 12 | 4682 | 216 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 y 2) |
(+.f64 (*.f64 2 (*.f64 y x)) (pow.f64 y 2)) |
(+.f64 (*.f64 2 (*.f64 y x)) (+.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(+.f64 (*.f64 2 (*.f64 y x)) (+.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(pow.f64 x 2) |
(+.f64 (*.f64 2 (*.f64 y x)) (pow.f64 x 2)) |
(+.f64 (*.f64 2 (*.f64 y x)) (+.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(+.f64 (*.f64 2 (*.f64 y x)) (+.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(pow.f64 x 2) |
(+.f64 (*.f64 2 (*.f64 y x)) (pow.f64 x 2)) |
(+.f64 (*.f64 2 (*.f64 y x)) (+.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(+.f64 (*.f64 2 (*.f64 y x)) (+.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(pow.f64 x 2) |
(+.f64 (*.f64 2 (*.f64 y x)) (pow.f64 x 2)) |
(+.f64 (*.f64 2 (*.f64 y x)) (+.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(+.f64 (*.f64 2 (*.f64 y x)) (+.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(pow.f64 y 2) |
(+.f64 (*.f64 2 (*.f64 y x)) (pow.f64 y 2)) |
(+.f64 (*.f64 2 (*.f64 y x)) (+.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(+.f64 (*.f64 2 (*.f64 y x)) (+.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(pow.f64 y 2) |
(+.f64 (*.f64 2 (*.f64 y x)) (pow.f64 y 2)) |
(+.f64 (*.f64 2 (*.f64 y x)) (+.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(+.f64 (*.f64 2 (*.f64 y x)) (+.f64 (pow.f64 y 2) (pow.f64 x 2))) |
| Outputs |
|---|
(pow.f64 y 2) |
(*.f64 y y) |
(+.f64 (*.f64 2 (*.f64 y x)) (pow.f64 y 2)) |
(fma.f64 2 (*.f64 y x) (*.f64 y y)) |
(fma.f64 y y (*.f64 y (*.f64 x 2))) |
(*.f64 y (+.f64 (*.f64 2 x) y)) |
(*.f64 y (fma.f64 2 x y)) |
(+.f64 (*.f64 2 (*.f64 y x)) (+.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(+.f64 (fma.f64 2 (*.f64 y x) (*.f64 y y)) (*.f64 x x)) |
(fma.f64 2 (*.f64 y x) (fma.f64 y y (*.f64 x x))) |
(fma.f64 y y (*.f64 x (fma.f64 y 2 x))) |
(fma.f64 y (fma.f64 2 x y) (*.f64 x x)) |
(fma.f64 x (fma.f64 y 2 x) (*.f64 y y)) |
(+.f64 (*.f64 2 (*.f64 y x)) (+.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(+.f64 (fma.f64 2 (*.f64 y x) (*.f64 y y)) (*.f64 x x)) |
(fma.f64 2 (*.f64 y x) (fma.f64 y y (*.f64 x x))) |
(fma.f64 y y (*.f64 x (fma.f64 y 2 x))) |
(fma.f64 y (fma.f64 2 x y) (*.f64 x x)) |
(fma.f64 x (fma.f64 y 2 x) (*.f64 y y)) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (*.f64 2 (*.f64 y x)) (pow.f64 x 2)) |
(fma.f64 2 (*.f64 y x) (*.f64 x x)) |
(*.f64 x (+.f64 (*.f64 y 2) x)) |
(*.f64 x (fma.f64 y 2 x)) |
(+.f64 (*.f64 2 (*.f64 y x)) (+.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(+.f64 (fma.f64 2 (*.f64 y x) (*.f64 y y)) (*.f64 x x)) |
(fma.f64 2 (*.f64 y x) (fma.f64 y y (*.f64 x x))) |
(fma.f64 y y (*.f64 x (fma.f64 y 2 x))) |
(fma.f64 y (fma.f64 2 x y) (*.f64 x x)) |
(fma.f64 x (fma.f64 y 2 x) (*.f64 y y)) |
(+.f64 (*.f64 2 (*.f64 y x)) (+.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(+.f64 (fma.f64 2 (*.f64 y x) (*.f64 y y)) (*.f64 x x)) |
(fma.f64 2 (*.f64 y x) (fma.f64 y y (*.f64 x x))) |
(fma.f64 y y (*.f64 x (fma.f64 y 2 x))) |
(fma.f64 y (fma.f64 2 x y) (*.f64 x x)) |
(fma.f64 x (fma.f64 y 2 x) (*.f64 y y)) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (*.f64 2 (*.f64 y x)) (pow.f64 x 2)) |
(fma.f64 2 (*.f64 y x) (*.f64 x x)) |
(*.f64 x (+.f64 (*.f64 y 2) x)) |
(*.f64 x (fma.f64 y 2 x)) |
(+.f64 (*.f64 2 (*.f64 y x)) (+.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(+.f64 (fma.f64 2 (*.f64 y x) (*.f64 y y)) (*.f64 x x)) |
(fma.f64 2 (*.f64 y x) (fma.f64 y y (*.f64 x x))) |
(fma.f64 y y (*.f64 x (fma.f64 y 2 x))) |
(fma.f64 y (fma.f64 2 x y) (*.f64 x x)) |
(fma.f64 x (fma.f64 y 2 x) (*.f64 y y)) |
(+.f64 (*.f64 2 (*.f64 y x)) (+.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(+.f64 (fma.f64 2 (*.f64 y x) (*.f64 y y)) (*.f64 x x)) |
(fma.f64 2 (*.f64 y x) (fma.f64 y y (*.f64 x x))) |
(fma.f64 y y (*.f64 x (fma.f64 y 2 x))) |
(fma.f64 y (fma.f64 2 x y) (*.f64 x x)) |
(fma.f64 x (fma.f64 y 2 x) (*.f64 y y)) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (*.f64 2 (*.f64 y x)) (pow.f64 x 2)) |
(fma.f64 2 (*.f64 y x) (*.f64 x x)) |
(*.f64 x (+.f64 (*.f64 y 2) x)) |
(*.f64 x (fma.f64 y 2 x)) |
(+.f64 (*.f64 2 (*.f64 y x)) (+.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(+.f64 (fma.f64 2 (*.f64 y x) (*.f64 y y)) (*.f64 x x)) |
(fma.f64 2 (*.f64 y x) (fma.f64 y y (*.f64 x x))) |
(fma.f64 y y (*.f64 x (fma.f64 y 2 x))) |
(fma.f64 y (fma.f64 2 x y) (*.f64 x x)) |
(fma.f64 x (fma.f64 y 2 x) (*.f64 y y)) |
(+.f64 (*.f64 2 (*.f64 y x)) (+.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(+.f64 (fma.f64 2 (*.f64 y x) (*.f64 y y)) (*.f64 x x)) |
(fma.f64 2 (*.f64 y x) (fma.f64 y y (*.f64 x x))) |
(fma.f64 y y (*.f64 x (fma.f64 y 2 x))) |
(fma.f64 y (fma.f64 2 x y) (*.f64 x x)) |
(fma.f64 x (fma.f64 y 2 x) (*.f64 y y)) |
(pow.f64 y 2) |
(*.f64 y y) |
(+.f64 (*.f64 2 (*.f64 y x)) (pow.f64 y 2)) |
(fma.f64 2 (*.f64 y x) (*.f64 y y)) |
(fma.f64 y y (*.f64 y (*.f64 x 2))) |
(*.f64 y (+.f64 (*.f64 2 x) y)) |
(*.f64 y (fma.f64 2 x y)) |
(+.f64 (*.f64 2 (*.f64 y x)) (+.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(+.f64 (fma.f64 2 (*.f64 y x) (*.f64 y y)) (*.f64 x x)) |
(fma.f64 2 (*.f64 y x) (fma.f64 y y (*.f64 x x))) |
(fma.f64 y y (*.f64 x (fma.f64 y 2 x))) |
(fma.f64 y (fma.f64 2 x y) (*.f64 x x)) |
(fma.f64 x (fma.f64 y 2 x) (*.f64 y y)) |
(+.f64 (*.f64 2 (*.f64 y x)) (+.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(+.f64 (fma.f64 2 (*.f64 y x) (*.f64 y y)) (*.f64 x x)) |
(fma.f64 2 (*.f64 y x) (fma.f64 y y (*.f64 x x))) |
(fma.f64 y y (*.f64 x (fma.f64 y 2 x))) |
(fma.f64 y (fma.f64 2 x y) (*.f64 x x)) |
(fma.f64 x (fma.f64 y 2 x) (*.f64 y y)) |
(pow.f64 y 2) |
(*.f64 y y) |
(+.f64 (*.f64 2 (*.f64 y x)) (pow.f64 y 2)) |
(fma.f64 2 (*.f64 y x) (*.f64 y y)) |
(fma.f64 y y (*.f64 y (*.f64 x 2))) |
(*.f64 y (+.f64 (*.f64 2 x) y)) |
(*.f64 y (fma.f64 2 x y)) |
(+.f64 (*.f64 2 (*.f64 y x)) (+.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(+.f64 (fma.f64 2 (*.f64 y x) (*.f64 y y)) (*.f64 x x)) |
(fma.f64 2 (*.f64 y x) (fma.f64 y y (*.f64 x x))) |
(fma.f64 y y (*.f64 x (fma.f64 y 2 x))) |
(fma.f64 y (fma.f64 2 x y) (*.f64 x x)) |
(fma.f64 x (fma.f64 y 2 x) (*.f64 y y)) |
(+.f64 (*.f64 2 (*.f64 y x)) (+.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(+.f64 (fma.f64 2 (*.f64 y x) (*.f64 y y)) (*.f64 x x)) |
(fma.f64 2 (*.f64 y x) (fma.f64 y y (*.f64 x x))) |
(fma.f64 y y (*.f64 x (fma.f64 y 2 x))) |
(fma.f64 y (fma.f64 2 x y) (*.f64 x x)) |
(fma.f64 x (fma.f64 y 2 x) (*.f64 y y)) |
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 36 | 1 | 37 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 37 | 1 | 38 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0b | (+.f64 (*.f64 2 (*.f64 y x)) (+.f64 (pow.f64 y 2) (pow.f64 x 2))) |
Compiled 510 to 192 computations (62.4% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 2 (*.f64 y x)) (+.f64 (pow.f64 y 2) (pow.f64 x 2))) |
| ✓ | 0.0b | (*.f64 2 (*.f64 y x)) |
| ✓ | 0.0b | (+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.f64 2 (*.f64 y x)) |
| 1.0ms | x | @ | inf | (*.f64 2 (*.f64 y x)) |
| 1.0ms | y | @ | inf | (*.f64 2 (*.f64 y x)) |
| 1.0ms | y | @ | 0 | (+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
| 1.0ms | y | @ | 0 | (*.f64 2 (*.f64 y x)) |
| 1× | batch-egg-rewrite |
| 576× | fma-def_binary64 |
| 299× | fma-neg_binary64 |
| 193× | expm1-udef_binary64 |
| 193× | log1p-udef_binary64 |
| 162× | log-pow_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 34 |
| 1 | 230 | 28 |
| 2 | 3181 | 28 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(*.f64 2 (*.f64 y x)) |
(+.f64 (*.f64 2 (*.f64 y x)) (+.f64 (pow.f64 y 2) (pow.f64 x 2))) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 x 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (*.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (*.f64 x 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (*.f64 x 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 y x) 3) 8) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 4 (pow.f64 (*.f64 y x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (*.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 y x) 3) 8))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 x 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (*.f64 x 2)))))))) |
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fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (*.f64 x 2))) 2) (cbrt.f64 (*.f64 y (*.f64 x 2))) (pow.f64 (hypot.f64 y x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (pow.f64 x 4)) (fma.f64 y y (*.f64 y (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) x) (fma.f64 y y (*.f64 y (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x x)) (fma.f64 y y (*.f64 y (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 y x) 2)) (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 y x) 2) 2)) (*.f64 y (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 y x) 2) 2)) (cbrt.f64 (pow.f64 (hypot.f64 y x) 2)) (*.f64 y (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (pow.f64 y 4)) (fma.f64 x x (*.f64 y (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) y) (fma.f64 x x (*.f64 y (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 y 4)) (pow.f64 (cbrt.f64 y) 2) (fma.f64 x x (*.f64 y (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y x)) (*.f64 (sqrt.f64 (*.f64 y x)) 2) (pow.f64 (hypot.f64 y x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x) (fma.f64 y y (*.f64 y (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) y) (fma.f64 x x (*.f64 y (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y (*.f64 x 2))) (sqrt.f64 (*.f64 y (*.f64 x 2))) (pow.f64 (hypot.f64 y x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 y x) (hypot.f64 y x) (*.f64 y (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 y 6) (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 y 4) (-.f64 (pow.f64 x 4) (pow.f64 (*.f64 y x) 2)))) (*.f64 y (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 y 4) (pow.f64 x 4)) (/.f64 1 (-.f64 (*.f64 y y) (*.f64 x x))) (*.f64 y (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y 2) x (pow.f64 (hypot.f64 y x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 y y (*.f64 y (*.f64 x 2))) 1 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 y y (*.f64 y (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y) (fma.f64 x x (*.f64 y (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (fma.f64 y y (*.f64 y (*.f64 x 2)))) (cbrt.f64 (fma.f64 y y (*.f64 y (*.f64 x 2))))) (cbrt.f64 (fma.f64 y y (*.f64 y (*.f64 x 2)))) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 y (sqrt.f64 (*.f64 y (*.f64 x 2)))) (hypot.f64 y (sqrt.f64 (*.f64 y (*.f64 x 2)))) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (fma.f64 x x (*.f64 y (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 x) y (pow.f64 (hypot.f64 y x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (pow.f64 (cbrt.f64 (*.f64 y x)) 2)) (cbrt.f64 (*.f64 y x)) (pow.f64 (hypot.f64 y x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (sqrt.f64 (*.f64 y x))) (sqrt.f64 (*.f64 y x)) (pow.f64 (hypot.f64 y x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y 2) 1) x (pow.f64 (hypot.f64 y x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y 2) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (pow.f64 (hypot.f64 y x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y 2) (sqrt.f64 x)) (sqrt.f64 x) (pow.f64 (hypot.f64 y x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (fma.f64 y y (*.f64 y (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y (*.f64 x 2) (pow.f64 (hypot.f64 y x) 2)))))))) |
| 1× | egg-herbie |
| 509× | sqr-pow_binary64 |
| 472× | fma-def_binary64 |
| 374× | associate-*l*_binary64 |
| 372× | unswap-sqr_binary64 |
| 367× | *-commutative_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 114 |
| 1 | 26 | 111 |
| 2 | 54 | 102 |
| 3 | 128 | 96 |
| 4 | 369 | 96 |
| 5 | 1471 | 96 |
| 6 | 2674 | 96 |
| 7 | 2915 | 96 |
| 8 | 3101 | 96 |
| 9 | 3345 | 96 |
| 10 | 3646 | 96 |
| 11 | 4039 | 96 |
| 12 | 4546 | 96 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 x 2) |
(pow.f64 y 2) |
(pow.f64 y 2) |
(pow.f64 y 2) |
(pow.f64 x 2) |
(pow.f64 x 2) |
(pow.f64 x 2) |
(+.f64 (*.f64 2 (*.f64 y x)) (pow.f64 x 2)) |
(pow.f64 y 2) |
(+.f64 (*.f64 2 (*.f64 y x)) (pow.f64 y 2)) |
(pow.f64 y 2) |
(+.f64 (*.f64 2 (*.f64 y x)) (pow.f64 y 2)) |
(pow.f64 y 2) |
(+.f64 (*.f64 2 (*.f64 y x)) (pow.f64 y 2)) |
(pow.f64 x 2) |
(+.f64 (*.f64 2 (*.f64 y x)) (pow.f64 x 2)) |
(pow.f64 x 2) |
(+.f64 (*.f64 2 (*.f64 y x)) (pow.f64 x 2)) |
| Outputs |
|---|
(pow.f64 x 2) |
(*.f64 x x) |
(pow.f64 y 2) |
(*.f64 y y) |
(pow.f64 y 2) |
(*.f64 y y) |
(pow.f64 y 2) |
(*.f64 y y) |
(pow.f64 x 2) |
(*.f64 x x) |
(pow.f64 x 2) |
(*.f64 x x) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (*.f64 2 (*.f64 y x)) (pow.f64 x 2)) |
(fma.f64 2 (*.f64 x y) (*.f64 x x)) |
(*.f64 x (+.f64 x (*.f64 2 y))) |
(*.f64 x (fma.f64 2 y x)) |
(pow.f64 y 2) |
(*.f64 y y) |
(+.f64 (*.f64 2 (*.f64 y x)) (pow.f64 y 2)) |
(fma.f64 2 (*.f64 x y) (*.f64 y y)) |
(*.f64 y (+.f64 y (*.f64 x 2))) |
(*.f64 y (fma.f64 x 2 y)) |
(pow.f64 y 2) |
(*.f64 y y) |
(+.f64 (*.f64 2 (*.f64 y x)) (pow.f64 y 2)) |
(fma.f64 2 (*.f64 x y) (*.f64 y y)) |
(*.f64 y (+.f64 y (*.f64 x 2))) |
(*.f64 y (fma.f64 x 2 y)) |
(pow.f64 y 2) |
(*.f64 y y) |
(+.f64 (*.f64 2 (*.f64 y x)) (pow.f64 y 2)) |
(fma.f64 2 (*.f64 x y) (*.f64 y y)) |
(*.f64 y (+.f64 y (*.f64 x 2))) |
(*.f64 y (fma.f64 x 2 y)) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (*.f64 2 (*.f64 y x)) (pow.f64 x 2)) |
(fma.f64 2 (*.f64 x y) (*.f64 x x)) |
(*.f64 x (+.f64 x (*.f64 2 y))) |
(*.f64 x (fma.f64 2 y x)) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (*.f64 2 (*.f64 y x)) (pow.f64 x 2)) |
(fma.f64 2 (*.f64 x y) (*.f64 x x)) |
(*.f64 x (+.f64 x (*.f64 2 y))) |
(*.f64 x (fma.f64 2 y x)) |
1 alts after pruning (0 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 165 | 0 | 165 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 165 | 1 | 166 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0b | (+.f64 (*.f64 2 (*.f64 y x)) (+.f64 (pow.f64 y 2) (pow.f64 x 2))) |
Compiled 2905 to 1552 computations (46.6% saved)
Total -0.0b remaining (-406.7%)
Threshold costs -0.0b (-406.7%)
Compiled 544 to 270 computations (50.4% saved)
| 1× | egg-herbie |
| 2× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 15 |
| 1 | 10 | 15 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 x x (fma.f64 y y (*.f64 y (*.f64 x 2)))) |
| Outputs |
|---|
(fma.f64 x x (fma.f64 y y (*.f64 y (*.f64 x 2)))) |
| 1× | done |
(sort x y)
Compiled 67 to 39 computations (41.8% saved)
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