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 |
| 37.5% | 62.4% | 0.1% | 6 |
| 56.2% | 43.7% | 0.1% | 7 |
| 65.6% | 34.3% | 0.1% | 8 |
| 76.5% | 23.4% | 0.1% | 9 |
| 82% | 18% | 0.1% | 10 |
| 87.8% | 12.1% | 0.1% | 11 |
| 90.7% | 9.2% | 0.1% | 12 |
| 93.8% | 6.1% | 0.1% | 13 |
| 95.3% | 4.6% | 0.1% | 14 |
Compiled 11 to 8 computations (27.3% saved)
| 701.0ms | 7926× | body | 128 | valid |
| 41.0ms | 110× | body | 1024 | valid |
| 37.0ms | 101× | body | 2048 | valid |
| 16.0ms | 79× | body | 512 | valid |
| 7.0ms | 40× | body | 256 | valid |
| 0.0ms | 5× | body | 128 | invalid |
Compiled 22 to 16 computations (27.3% saved)
| 2× | egg-herbie |
| 128× | fma-neg_binary64 |
| 44× | fma-def_binary64 |
| 40× | cancel-sign-sub-inv_binary64 |
| 35× | sub-neg_binary64 |
| 19× | distribute-rgt-neg-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 24 |
| 1 | 20 | 24 |
| 2 | 28 | 24 |
| 3 | 40 | 24 |
| 4 | 70 | 24 |
| 5 | 134 | 24 |
| 6 | 181 | 24 |
| 7 | 285 | 24 |
| 8 | 350 | 20 |
| 9 | 413 | 20 |
| 10 | 485 | 20 |
| 11 | 530 | 20 |
| 12 | 543 | 20 |
| 13 | 548 | 20 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)) |
(+.f64 y (/.f64 (fabs.f64 (-.f64 x y)) 2)) |
| Outputs |
|---|
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)) |
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 (fabs.f64 (-.f64 y x)) 1/2 x) |
(+.f64 y (/.f64 (fabs.f64 (-.f64 x y)) 2)) |
(+.f64 y (/.f64 (fabs.f64 (-.f64 y x)) 2)) |
(+.f64 y (*.f64 1/2 (fabs.f64 (-.f64 y x)))) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) y) |
(fma.f64 (fabs.f64 (-.f64 y x)) 1/2 y) |
Compiled 10 to 7 computations (30% saved)
| 1× | egg-herbie |
| 97× | fma-neg_binary64 |
| 34× | fma-def_binary64 |
| 32× | cancel-sign-sub-inv_binary64 |
| 27× | sub-neg_binary64 |
| 17× | distribute-rgt-neg-in_binary64 |
Useful iterations: 8 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 12 |
| 1 | 13 | 12 |
| 2 | 20 | 12 |
| 3 | 29 | 12 |
| 4 | 50 | 12 |
| 5 | 104 | 12 |
| 6 | 160 | 12 |
| 7 | 208 | 12 |
| 8 | 272 | 10 |
| 9 | 317 | 10 |
| 10 | 376 | 10 |
| 11 | 421 | 10 |
| 12 | 444 | 10 |
| 13 | 452 | 10 |
| 14 | 457 | 10 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)) |
| Outputs |
|---|
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)) |
(+.f64 x (/.f64 (fabs.f64 (-.f64 x y)) 2)) |
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 (fabs.f64 (-.f64 y x)) 1/2 x) |
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 2 | 1 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (fma.f64 (fabs.f64 (-.f64 y x)) 1/2 x) |
Compiled 35 to 21 computations (40% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (fma.f64 (fabs.f64 (-.f64 y x)) 1/2 x) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (fma.f64 (fabs.f64 (-.f64 y x)) 1/2 x) |
| 1.0ms | y | @ | 0 | (fma.f64 (fabs.f64 (-.f64 y x)) 1/2 x) |
| 1.0ms | x | @ | -inf | (fma.f64 (fabs.f64 (-.f64 y x)) 1/2 x) |
| 1.0ms | y | @ | inf | (fma.f64 (fabs.f64 (-.f64 y x)) 1/2 x) |
| 0.0ms | y | @ | -inf | (fma.f64 (fabs.f64 (-.f64 y x)) 1/2 x) |
| 1× | batch-egg-rewrite |
| 777× | pow1_binary64 |
| 725× | log1p-expm1-u_binary64 |
| 725× | expm1-log1p-u_binary64 |
| 82× | add-sqr-sqrt_binary64 |
| 79× | *-un-lft-identity_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 155 | 8 |
| 2 | 2116 | 8 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (fabs.f64 (-.f64 y x)) 1/2 x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (-.f64 y x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 y x) 1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (-.f64 y x) 1/2) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 y x) 1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (-.f64 y x) 1/2 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (-.f64 y x) 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 2) (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y x) 1/2) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 (-.f64 y x) 1/2) (*.f64 (-.f64 y x) 1/2)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 y x) 1/2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (-.f64 y x) 1/2) (*.f64 (-.f64 y x) 1/2)) (*.f64 x x)) (-.f64 (*.f64 (-.f64 y x) 1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (-.f64 y x) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 y x) 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (-.f64 y x) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 y x) 1/2 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (-.f64 y x) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (-.f64 y x) 1/2 x))))))) |
| 1× | egg-herbie |
| 97× | fma-neg_binary64 |
| 46× | fma-def_binary64 |
| 34× | cancel-sign-sub-inv_binary64 |
| 26× | sub-neg_binary64 |
| 19× | distribute-rgt-neg-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 221 |
| 1 | 15 | 221 |
| 2 | 23 | 221 |
| 3 | 32 | 221 |
| 4 | 53 | 221 |
| 5 | 105 | 221 |
| 6 | 161 | 221 |
| 7 | 211 | 221 |
| 8 | 289 | 221 |
| 9 | 351 | 221 |
| 10 | 402 | 221 |
| 11 | 426 | 221 |
| 12 | 432 | 221 |
| 13 | 437 | 221 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(*.f64 1/2 (fabs.f64 (-.f64 y x))) |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
x |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
x |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
| Outputs |
|---|
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x) |
(*.f64 1/2 (fabs.f64 (-.f64 y x))) |
(*.f64 1/2 (fabs.f64 (-.f64 x y))) |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x) |
x |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x) |
x |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x) |
2 alts after pruning (1 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 27 | 1 | 28 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 27 | 2 | 29 |
| Status | Error | Program |
|---|---|---|
| ▶ | 42.7b | (pow.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 2) |
| ✓ | 0.0b | (fma.f64 (fabs.f64 (-.f64 y x)) 1/2 x) |
Compiled 323 to 174 computations (46.1% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) |
| ✓ | 0.0b | (fma.f64 (-.f64 y x) 1/2 x) |
| ✓ | 0.2b | (pow.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 2) |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | 0 | (pow.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 2) |
| 7.0ms | y | @ | 0 | (pow.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 2) |
| 5.0ms | x | @ | inf | (pow.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 2) |
| 2.0ms | y | @ | inf | (pow.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 2) |
| 1.0ms | x | @ | -inf | (pow.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 2) |
| 1× | batch-egg-rewrite |
| 852× | pow1_binary64 |
| 793× | log1p-expm1-u_binary64 |
| 793× | expm1-log1p-u_binary64 |
| 88× | add-sqr-sqrt_binary64 |
| 84× | add-log-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 26 |
| 1 | 196 | 26 |
| 2 | 2146 | 26 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 2) |
(fma.f64 (-.f64 y x) 1/2 x) |
(sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (-.f64 y x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 y x) 1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (-.f64 y x) 1/2) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 y x) 1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (-.f64 y x) 1/2 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (-.f64 y x) 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x))) (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 2) (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 1/4) (*.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 1/4) (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 1/4)) (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x))) (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y x) 1/2) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 (-.f64 y x) 1/2) (*.f64 (-.f64 y x) 1/2)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 y x) 1/2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (-.f64 y x) 1/2) (*.f64 (-.f64 y x) 1/2)) (*.f64 x x)) (-.f64 (*.f64 (-.f64 y x) 1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (-.f64 y x) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 y x) 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (-.f64 y x) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 y x) 1/2 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (-.f64 y x) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 y x) 1/2 x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (-.f64 y x) 1/2 x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (-.f64 y x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 y x) 1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (-.f64 y x) 1/2) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 y x) 1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (-.f64 y x) 1/2 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (-.f64 y x) 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x))) (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 2) (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 1/4) (*.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 1/4) (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 1/4)) (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x))) (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y x) 1/2) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 (-.f64 y x) 1/2) (*.f64 (-.f64 y x) 1/2)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 y x) 1/2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (-.f64 y x) 1/2) (*.f64 (-.f64 y x) 1/2)) (*.f64 x x)) (-.f64 (*.f64 (-.f64 y x) 1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (-.f64 y x) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 y x) 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (-.f64 y x) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 y x) 1/2 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (-.f64 y x) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (-.f64 y x) 1/2 x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x))) (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 1/4) (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 y x) 1/2 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)))))))) |
| 1× | egg-herbie |
| 923× | fma-def_binary64 |
| 388× | cancel-sign-sub-inv_binary64 |
| 216× | fma-neg_binary64 |
| 190× | distribute-neg-frac_binary64 |
| 174× | associate-/l/_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 714 |
| 1 | 196 | 526 |
| 2 | 597 | 510 |
| 3 | 2581 | 498 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (pow.f64 (sqrt.f64 1/2) 2) x) |
(+.f64 (*.f64 1/2 y) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) x)) |
(+.f64 (*.f64 1/2 y) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) x)) |
(+.f64 (*.f64 1/2 y) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) x)) |
(*.f64 (pow.f64 (sqrt.f64 1/2) 2) y) |
(+.f64 (*.f64 1/2 x) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) y)) |
(+.f64 (*.f64 1/2 x) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) y)) |
(+.f64 (*.f64 1/2 x) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) y)) |
(*.f64 1/2 x) |
(+.f64 (*.f64 1/2 y) (*.f64 1/2 x)) |
(+.f64 (*.f64 1/2 y) (*.f64 1/2 x)) |
(+.f64 (*.f64 1/2 y) (*.f64 1/2 x)) |
(*.f64 1/2 y) |
(+.f64 (*.f64 1/2 y) (*.f64 1/2 x)) |
(+.f64 (*.f64 1/2 y) (*.f64 1/2 x)) |
(+.f64 (*.f64 1/2 y) (*.f64 1/2 x)) |
(*.f64 1/2 y) |
(+.f64 (*.f64 1/2 y) (*.f64 1/2 x)) |
(+.f64 (*.f64 1/2 y) (*.f64 1/2 x)) |
(+.f64 (*.f64 1/2 y) (*.f64 1/2 x)) |
(*.f64 1/2 y) |
(+.f64 (*.f64 1/2 y) (*.f64 1/2 x)) |
(+.f64 (*.f64 1/2 y) (*.f64 1/2 x)) |
(+.f64 (*.f64 1/2 y) (*.f64 1/2 x)) |
(*.f64 1/2 x) |
(+.f64 (*.f64 1/2 y) (*.f64 1/2 x)) |
(+.f64 (*.f64 1/2 y) (*.f64 1/2 x)) |
(+.f64 (*.f64 1/2 y) (*.f64 1/2 x)) |
(*.f64 1/2 x) |
(+.f64 (*.f64 1/2 y) (*.f64 1/2 x)) |
(+.f64 (*.f64 1/2 y) (*.f64 1/2 x)) |
(+.f64 (*.f64 1/2 y) (*.f64 1/2 x)) |
(*.f64 (sqrt.f64 1/2) (sqrt.f64 x)) |
(+.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 x)) (*.f64 1/4 (*.f64 (/.f64 y (sqrt.f64 1/2)) (sqrt.f64 (/.f64 1 x))))) |
(-.f64 (+.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 x)) (*.f64 1/4 (*.f64 (/.f64 y (sqrt.f64 1/2)) (sqrt.f64 (/.f64 1 x))))) (*.f64 1/32 (*.f64 (/.f64 (pow.f64 y 2) (pow.f64 (sqrt.f64 1/2) 3)) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))) |
(-.f64 (+.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 x)) (+.f64 (*.f64 1/4 (*.f64 (/.f64 y (sqrt.f64 1/2)) (sqrt.f64 (/.f64 1 x)))) (*.f64 1/128 (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 (sqrt.f64 1/2) 5)) (sqrt.f64 (/.f64 1 (pow.f64 x 5))))))) (*.f64 1/32 (*.f64 (/.f64 (pow.f64 y 2) (pow.f64 (sqrt.f64 1/2) 3)) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))) |
(*.f64 (sqrt.f64 1/2) (sqrt.f64 y)) |
(+.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 y)) (*.f64 1/4 (*.f64 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 (/.f64 1 y))))) |
(-.f64 (+.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 y)) (*.f64 1/4 (*.f64 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 (/.f64 1 y))))) (*.f64 1/32 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)) (sqrt.f64 (/.f64 1 (pow.f64 y 3)))))) |
(-.f64 (+.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 y)) (+.f64 (*.f64 1/128 (*.f64 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5)) (sqrt.f64 (/.f64 1 (pow.f64 y 5))))) (*.f64 1/4 (*.f64 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 (/.f64 1 y)))))) (*.f64 1/32 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)) (sqrt.f64 (/.f64 1 (pow.f64 y 3)))))) |
| Outputs |
|---|
(*.f64 (pow.f64 (sqrt.f64 1/2) 2) x) |
(*.f64 1/2 x) |
(+.f64 (*.f64 1/2 y) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) x)) |
(fma.f64 1/2 y (*.f64 (pow.f64 (sqrt.f64 1/2) 2) x)) |
(*.f64 1/2 (+.f64 x y)) |
(+.f64 (*.f64 1/2 y) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) x)) |
(fma.f64 1/2 y (*.f64 (pow.f64 (sqrt.f64 1/2) 2) x)) |
(*.f64 1/2 (+.f64 x y)) |
(+.f64 (*.f64 1/2 y) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) x)) |
(fma.f64 1/2 y (*.f64 (pow.f64 (sqrt.f64 1/2) 2) x)) |
(*.f64 1/2 (+.f64 x y)) |
(*.f64 (pow.f64 (sqrt.f64 1/2) 2) y) |
(*.f64 1/2 y) |
(+.f64 (*.f64 1/2 x) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) y)) |
(fma.f64 1/2 y (*.f64 (pow.f64 (sqrt.f64 1/2) 2) x)) |
(*.f64 1/2 (+.f64 x y)) |
(+.f64 (*.f64 1/2 x) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) y)) |
(fma.f64 1/2 y (*.f64 (pow.f64 (sqrt.f64 1/2) 2) x)) |
(*.f64 1/2 (+.f64 x y)) |
(+.f64 (*.f64 1/2 x) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) y)) |
(fma.f64 1/2 y (*.f64 (pow.f64 (sqrt.f64 1/2) 2) x)) |
(*.f64 1/2 (+.f64 x y)) |
(*.f64 1/2 x) |
(*.f64 (pow.f64 (sqrt.f64 1/2) 2) x) |
(+.f64 (*.f64 1/2 y) (*.f64 1/2 x)) |
(fma.f64 1/2 y (*.f64 (pow.f64 (sqrt.f64 1/2) 2) x)) |
(*.f64 1/2 (+.f64 x y)) |
(+.f64 (*.f64 1/2 y) (*.f64 1/2 x)) |
(fma.f64 1/2 y (*.f64 (pow.f64 (sqrt.f64 1/2) 2) x)) |
(*.f64 1/2 (+.f64 x y)) |
(+.f64 (*.f64 1/2 y) (*.f64 1/2 x)) |
(fma.f64 1/2 y (*.f64 (pow.f64 (sqrt.f64 1/2) 2) x)) |
(*.f64 1/2 (+.f64 x y)) |
(*.f64 1/2 y) |
(*.f64 (pow.f64 (sqrt.f64 1/2) 2) y) |
(+.f64 (*.f64 1/2 y) (*.f64 1/2 x)) |
(fma.f64 1/2 y (*.f64 (pow.f64 (sqrt.f64 1/2) 2) x)) |
(*.f64 1/2 (+.f64 x y)) |
(+.f64 (*.f64 1/2 y) (*.f64 1/2 x)) |
(fma.f64 1/2 y (*.f64 (pow.f64 (sqrt.f64 1/2) 2) x)) |
(*.f64 1/2 (+.f64 x y)) |
(+.f64 (*.f64 1/2 y) (*.f64 1/2 x)) |
(fma.f64 1/2 y (*.f64 (pow.f64 (sqrt.f64 1/2) 2) x)) |
(*.f64 1/2 (+.f64 x y)) |
(*.f64 1/2 y) |
(*.f64 (pow.f64 (sqrt.f64 1/2) 2) y) |
(+.f64 (*.f64 1/2 y) (*.f64 1/2 x)) |
(fma.f64 1/2 y (*.f64 (pow.f64 (sqrt.f64 1/2) 2) x)) |
(*.f64 1/2 (+.f64 x y)) |
(+.f64 (*.f64 1/2 y) (*.f64 1/2 x)) |
(fma.f64 1/2 y (*.f64 (pow.f64 (sqrt.f64 1/2) 2) x)) |
(*.f64 1/2 (+.f64 x y)) |
(+.f64 (*.f64 1/2 y) (*.f64 1/2 x)) |
(fma.f64 1/2 y (*.f64 (pow.f64 (sqrt.f64 1/2) 2) x)) |
(*.f64 1/2 (+.f64 x y)) |
(*.f64 1/2 y) |
(*.f64 (pow.f64 (sqrt.f64 1/2) 2) y) |
(+.f64 (*.f64 1/2 y) (*.f64 1/2 x)) |
(fma.f64 1/2 y (*.f64 (pow.f64 (sqrt.f64 1/2) 2) x)) |
(*.f64 1/2 (+.f64 x y)) |
(+.f64 (*.f64 1/2 y) (*.f64 1/2 x)) |
(fma.f64 1/2 y (*.f64 (pow.f64 (sqrt.f64 1/2) 2) x)) |
(*.f64 1/2 (+.f64 x y)) |
(+.f64 (*.f64 1/2 y) (*.f64 1/2 x)) |
(fma.f64 1/2 y (*.f64 (pow.f64 (sqrt.f64 1/2) 2) x)) |
(*.f64 1/2 (+.f64 x y)) |
(*.f64 1/2 x) |
(*.f64 (pow.f64 (sqrt.f64 1/2) 2) x) |
(+.f64 (*.f64 1/2 y) (*.f64 1/2 x)) |
(fma.f64 1/2 y (*.f64 (pow.f64 (sqrt.f64 1/2) 2) x)) |
(*.f64 1/2 (+.f64 x y)) |
(+.f64 (*.f64 1/2 y) (*.f64 1/2 x)) |
(fma.f64 1/2 y (*.f64 (pow.f64 (sqrt.f64 1/2) 2) x)) |
(*.f64 1/2 (+.f64 x y)) |
(+.f64 (*.f64 1/2 y) (*.f64 1/2 x)) |
(fma.f64 1/2 y (*.f64 (pow.f64 (sqrt.f64 1/2) 2) x)) |
(*.f64 1/2 (+.f64 x y)) |
(*.f64 1/2 x) |
(*.f64 (pow.f64 (sqrt.f64 1/2) 2) x) |
(+.f64 (*.f64 1/2 y) (*.f64 1/2 x)) |
(fma.f64 1/2 y (*.f64 (pow.f64 (sqrt.f64 1/2) 2) x)) |
(*.f64 1/2 (+.f64 x y)) |
(+.f64 (*.f64 1/2 y) (*.f64 1/2 x)) |
(fma.f64 1/2 y (*.f64 (pow.f64 (sqrt.f64 1/2) 2) x)) |
(*.f64 1/2 (+.f64 x y)) |
(+.f64 (*.f64 1/2 y) (*.f64 1/2 x)) |
(fma.f64 1/2 y (*.f64 (pow.f64 (sqrt.f64 1/2) 2) x)) |
(*.f64 1/2 (+.f64 x y)) |
(*.f64 (sqrt.f64 1/2) (sqrt.f64 x)) |
(+.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 x)) (*.f64 1/4 (*.f64 (/.f64 y (sqrt.f64 1/2)) (sqrt.f64 (/.f64 1 x))))) |
(fma.f64 (sqrt.f64 1/2) (sqrt.f64 x) (*.f64 1/4 (*.f64 (/.f64 y (sqrt.f64 1/2)) (sqrt.f64 (/.f64 1 x))))) |
(-.f64 (+.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 x)) (*.f64 1/4 (*.f64 (/.f64 y (sqrt.f64 1/2)) (sqrt.f64 (/.f64 1 x))))) (*.f64 1/32 (*.f64 (/.f64 (pow.f64 y 2) (pow.f64 (sqrt.f64 1/2) 3)) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))) |
(-.f64 (fma.f64 (sqrt.f64 1/2) (sqrt.f64 x) (*.f64 1/4 (*.f64 (/.f64 y (sqrt.f64 1/2)) (sqrt.f64 (/.f64 1 x))))) (*.f64 (*.f64 1/32 (/.f64 (*.f64 y y) (pow.f64 (sqrt.f64 1/2) 3))) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) |
(fma.f64 (sqrt.f64 1/2) (sqrt.f64 x) (fma.f64 1/4 (*.f64 (/.f64 y (sqrt.f64 1/2)) (sqrt.f64 (/.f64 1 x))) (*.f64 (*.f64 (*.f64 (/.f64 y (sqrt.f64 1/2)) (/.f64 y 1/2)) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) -1/32))) |
(fma.f64 (sqrt.f64 1/2) (sqrt.f64 x) (fma.f64 1/4 (*.f64 (/.f64 y (sqrt.f64 1/2)) (sqrt.f64 (/.f64 1 x))) (*.f64 -1/16 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 (sqrt.f64 1/2) (*.f64 y y)))))) |
(fma.f64 (sqrt.f64 1/2) (sqrt.f64 x) (*.f64 (/.f64 y (sqrt.f64 1/2)) (-.f64 (*.f64 1/4 (sqrt.f64 (/.f64 1 x))) (*.f64 (*.f64 1/32 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (/.f64 y 1/2))))) |
(-.f64 (+.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 x)) (+.f64 (*.f64 1/4 (*.f64 (/.f64 y (sqrt.f64 1/2)) (sqrt.f64 (/.f64 1 x)))) (*.f64 1/128 (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 (sqrt.f64 1/2) 5)) (sqrt.f64 (/.f64 1 (pow.f64 x 5))))))) (*.f64 1/32 (*.f64 (/.f64 (pow.f64 y 2) (pow.f64 (sqrt.f64 1/2) 3)) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))) |
(+.f64 (fma.f64 (sqrt.f64 1/2) (sqrt.f64 x) (fma.f64 1/4 (*.f64 (/.f64 y (sqrt.f64 1/2)) (sqrt.f64 (/.f64 1 x))) (*.f64 1/128 (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 (sqrt.f64 1/2) 5)) (sqrt.f64 (/.f64 1 (pow.f64 x 5))))))) (*.f64 -1/32 (*.f64 (/.f64 (*.f64 y y) (pow.f64 (sqrt.f64 1/2) 3)) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))) |
(+.f64 (fma.f64 (sqrt.f64 1/2) (sqrt.f64 x) (fma.f64 1/4 (*.f64 (/.f64 y (sqrt.f64 1/2)) (sqrt.f64 (/.f64 1 x))) (*.f64 1/128 (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 (sqrt.f64 1/2) 5)) (sqrt.f64 (/.f64 1 (pow.f64 x 5))))))) (*.f64 (*.f64 (*.f64 (/.f64 y (sqrt.f64 1/2)) (/.f64 y 1/2)) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) -1/32)) |
(fma.f64 (sqrt.f64 1/2) (sqrt.f64 x) (fma.f64 1/4 (*.f64 (/.f64 y (sqrt.f64 1/2)) (sqrt.f64 (/.f64 1 x))) (fma.f64 1/128 (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 (sqrt.f64 1/2) 5)) (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (*.f64 -1/16 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 (sqrt.f64 1/2) (*.f64 y y))))))) |
(fma.f64 (sqrt.f64 1/2) (sqrt.f64 x) (fma.f64 1/128 (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 (sqrt.f64 1/2) 5)) (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (*.f64 (/.f64 y (sqrt.f64 1/2)) (-.f64 (*.f64 1/4 (sqrt.f64 (/.f64 1 x))) (*.f64 (*.f64 1/32 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (/.f64 y 1/2)))))) |
(*.f64 (sqrt.f64 1/2) (sqrt.f64 y)) |
(+.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 y)) (*.f64 1/4 (*.f64 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 (/.f64 1 y))))) |
(fma.f64 (sqrt.f64 1/2) (sqrt.f64 y) (*.f64 1/4 (*.f64 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 (/.f64 1 y))))) |
(fma.f64 (sqrt.f64 1/2) (sqrt.f64 y) (*.f64 1/4 (/.f64 x (/.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 1 y)))))) |
(-.f64 (+.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 y)) (*.f64 1/4 (*.f64 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 (/.f64 1 y))))) (*.f64 1/32 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)) (sqrt.f64 (/.f64 1 (pow.f64 y 3)))))) |
(+.f64 (fma.f64 (sqrt.f64 1/2) (sqrt.f64 y) (*.f64 1/4 (*.f64 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 (/.f64 1 y))))) (*.f64 -1/32 (*.f64 (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 1/2) 3)) (sqrt.f64 (/.f64 1 (pow.f64 y 3)))))) |
(fma.f64 (sqrt.f64 1/2) (sqrt.f64 y) (fma.f64 1/4 (/.f64 x (/.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 1 y)))) (*.f64 (*.f64 -1/32 (/.f64 (/.f64 (*.f64 x x) 1/2) (sqrt.f64 1/2))) (sqrt.f64 (/.f64 1 (pow.f64 y 3)))))) |
(fma.f64 1/4 (*.f64 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 (/.f64 1 y))) (fma.f64 (sqrt.f64 1/2) (sqrt.f64 y) (*.f64 -1/16 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (/.f64 (sqrt.f64 1/2) (*.f64 x x)))))) |
(fma.f64 (sqrt.f64 1/2) (sqrt.f64 y) (*.f64 (/.f64 x (sqrt.f64 1/2)) (-.f64 (*.f64 1/4 (sqrt.f64 (/.f64 1 y))) (*.f64 (/.f64 x 1/2) (*.f64 1/32 (sqrt.f64 (/.f64 1 (pow.f64 y 3)))))))) |
(-.f64 (+.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 y)) (+.f64 (*.f64 1/128 (*.f64 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5)) (sqrt.f64 (/.f64 1 (pow.f64 y 5))))) (*.f64 1/4 (*.f64 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 (/.f64 1 y)))))) (*.f64 1/32 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)) (sqrt.f64 (/.f64 1 (pow.f64 y 3)))))) |
(+.f64 (fma.f64 (sqrt.f64 1/2) (sqrt.f64 y) (fma.f64 1/128 (*.f64 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5)) (sqrt.f64 (/.f64 1 (pow.f64 y 5)))) (*.f64 1/4 (*.f64 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 (/.f64 1 y)))))) (*.f64 -1/32 (*.f64 (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 1/2) 3)) (sqrt.f64 (/.f64 1 (pow.f64 y 3)))))) |
(+.f64 (fma.f64 (sqrt.f64 1/2) (sqrt.f64 y) (fma.f64 1/4 (/.f64 x (/.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 1 y)))) (*.f64 1/128 (*.f64 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5)) (sqrt.f64 (/.f64 1 (pow.f64 y 5))))))) (*.f64 (*.f64 -1/32 (/.f64 (/.f64 (*.f64 x x) 1/2) (sqrt.f64 1/2))) (sqrt.f64 (/.f64 1 (pow.f64 y 3))))) |
(fma.f64 (sqrt.f64 1/2) (sqrt.f64 y) (fma.f64 1/4 (*.f64 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 (/.f64 1 y))) (fma.f64 1/128 (*.f64 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5)) (sqrt.f64 (/.f64 1 (pow.f64 y 5)))) (*.f64 -1/16 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (/.f64 (sqrt.f64 1/2) (*.f64 x x))))))) |
(fma.f64 (sqrt.f64 1/2) (sqrt.f64 y) (fma.f64 1/128 (*.f64 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5)) (sqrt.f64 (/.f64 1 (pow.f64 y 5)))) (*.f64 (/.f64 x (sqrt.f64 1/2)) (-.f64 (*.f64 1/4 (sqrt.f64 (/.f64 1 y))) (*.f64 (/.f64 x 1/2) (*.f64 1/32 (sqrt.f64 (/.f64 1 (pow.f64 y 3))))))))) |
2 alts after pruning (0 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 74 | 0 | 74 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 74 | 2 | 76 |
| Status | Error | Program |
|---|---|---|
| ✓ | 42.7b | (pow.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 2) |
| ✓ | 0.0b | (fma.f64 (fabs.f64 (-.f64 y x)) 1/2 x) |
Compiled 1203 to 819 computations (31.9% saved)
Total 0.0b remaining (3%)
Threshold costs 0.0b (3%)
Compiled 86 to 47 computations (45.3% saved)
| 1× | egg-herbie |
| 4× | +-commutative_binary64 |
| 4× | sub-neg_binary64 |
| 2× | *-commutative_binary64 |
| 2× | neg-sub0_binary64 |
| 2× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 11 | 10 |
| 2 | 18 | 10 |
| 3 | 23 | 10 |
| 4 | 26 | 10 |
| 5 | 27 | 10 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (fabs.f64 (-.f64 y x)) 1/2 x) |
| Outputs |
|---|
(fma.f64 (fabs.f64 (-.f64 y x)) 1/2 x) |
| 1× | done |
Compiled 38 to 26 computations (31.6% saved)
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