Time bar (total: 2.7s)
| 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 |
| 0% | 99.9% | 0.1% | 5 |
| 0% | 99.9% | 0.1% | 6 |
| 0% | 99.9% | 0.1% | 7 |
| 0% | 99.9% | 0.1% | 8 |
| 15.6% | 81.9% | 2.5% | 9 |
| 21.1% | 74.5% | 4.4% | 10 |
| 25.4% | 69.8% | 4.8% | 11 |
| 39.2% | 51.6% | 9.2% | 12 |
| 44.6% | 44% | 11.4% | 13 |
| 48.2% | 40.1% | 11.7% | 14 |
Compiled 17 to 13 computations (23.5% saved)
| 887.0ms | 8256× | body | 128 | valid |
| 108.0ms | 967× | body | 128 | invalid |
Compiled 34 to 26 computations (23.5% saved)
| 2× | egg-herbie |
| 588× | fma-def_binary64 |
| 496× | associate-/l*_binary64 |
| 407× | fma-neg_binary64 |
| 332× | distribute-rgt-in_binary64 |
| 321× | cancel-sign-sub-inv_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 76 |
| 1 | 70 | 68 |
| 2 | 179 | 60 |
| 3 | 503 | 60 |
| 4 | 1216 | 56 |
| 5 | 2912 | 52 |
| 0 | 3 | 3 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
2 |
| Outputs |
|---|
0 |
1 |
2 |
| Inputs |
|---|
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y)) |
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 y (*.f64 x 1/4)) z)) x)) |
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 z (*.f64 y 1/4)) x)) y)) |
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 z 1/4)) y)) z)) |
| Outputs |
|---|
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y)) |
(+.f64 1 (/.f64 (*.f64 4 (+.f64 x (-.f64 (*.f64 y 1/4) z))) y)) |
(+.f64 1 (*.f64 (/.f64 4 y) (-.f64 (fma.f64 y 1/4 x) z))) |
(fma.f64 (/.f64 4 y) (-.f64 (fma.f64 y 1/4 x) z) 1) |
(fma.f64 (-.f64 (fma.f64 y 1/4 x) z) (/.f64 4 y) 1) |
(+.f64 1 (/.f64 (fma.f64 4 (-.f64 x z) y) y)) |
(+.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 2) |
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 y (*.f64 x 1/4)) z)) x)) |
(+.f64 1 (/.f64 4 (/.f64 x (-.f64 (+.f64 y (*.f64 x 1/4)) z)))) |
(+.f64 1 (*.f64 (/.f64 4 x) (-.f64 (fma.f64 x 1/4 y) z))) |
(fma.f64 (/.f64 4 x) (-.f64 (fma.f64 x 1/4 y) z) 1) |
(fma.f64 (-.f64 (fma.f64 x 1/4 y) z) (/.f64 4 x) 1) |
(+.f64 1 (/.f64 (fma.f64 4 (-.f64 y z) x) x)) |
(+.f64 (*.f64 (/.f64 4 x) (-.f64 y z)) 2) |
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 z (*.f64 y 1/4)) x)) y)) |
(+.f64 1 (/.f64 4 (/.f64 y (-.f64 (+.f64 (*.f64 y 1/4) z) x)))) |
(+.f64 1 (*.f64 (/.f64 4 y) (-.f64 (fma.f64 y 1/4 z) x))) |
(fma.f64 (/.f64 4 y) (-.f64 (fma.f64 y 1/4 z) x) 1) |
(fma.f64 (-.f64 (fma.f64 y 1/4 z) x) (/.f64 4 y) 1) |
(+.f64 1 (/.f64 (fma.f64 4 (-.f64 z x) y) y)) |
(-.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z))) |
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 z 1/4)) y)) z)) |
(+.f64 1 (/.f64 4 (/.f64 z (+.f64 x (-.f64 (*.f64 1/4 z) y))))) |
(+.f64 1 (*.f64 (/.f64 4 z) (-.f64 (fma.f64 1/4 z x) y))) |
(fma.f64 (/.f64 4 z) (-.f64 (fma.f64 1/4 z x) y) 1) |
(fma.f64 (-.f64 (fma.f64 1/4 z x) y) (/.f64 4 z) 1) |
(+.f64 1 (/.f64 (fma.f64 4 (-.f64 x y) z) z)) |
(+.f64 (*.f64 (/.f64 4 z) (-.f64 x y)) 2) |
Compiled 16 to 12 computations (25% saved)
| 1× | egg-herbie |
| 888× | fma-def_binary64 |
| 608× | associate-/l*_binary64 |
| 410× | fma-neg_binary64 |
| 310× | div-sub_binary64 |
| 285× | associate-/r/_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 19 |
| 1 | 25 | 17 |
| 2 | 55 | 15 |
| 3 | 142 | 15 |
| 4 | 341 | 14 |
| 5 | 759 | 11 |
| 6 | 2089 | 11 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y)) |
| Outputs |
|---|
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y)) |
(+.f64 1 (/.f64 4 (/.f64 y (+.f64 x (-.f64 (*.f64 y 1/4) z))))) |
(+.f64 1 (*.f64 (/.f64 4 y) (-.f64 (fma.f64 y 1/4 x) z))) |
(fma.f64 (/.f64 4 y) (-.f64 (fma.f64 y 1/4 x) z) 1) |
(fma.f64 (-.f64 (fma.f64 y 1/4 x) z) (/.f64 4 y) 1) |
(+.f64 1 (/.f64 (fma.f64 4 (-.f64 x z) y) y)) |
(fma.f64 (/.f64 4 y) (-.f64 x z) 2) |
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 2 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y)) |
| 0.1b | (fma.f64 (/.f64 4 y) (-.f64 x z) 2) |
Compiled 78 to 57 computations (26.9% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y)) |
| ✓ | 0.0b | (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y) |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | inf | (+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y)) |
| 1.0ms | y | @ | -inf | (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y) |
| 1.0ms | x | @ | 0 | (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y) |
| 1.0ms | x | @ | inf | (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y) |
| 1.0ms | y | @ | inf | (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y) |
| 1× | batch-egg-rewrite |
| 261× | expm1-udef_binary64 |
| 261× | log1p-udef_binary64 |
| 148× | add-sqr-sqrt_binary64 |
| 144× | *-un-lft-identity_binary64 |
| 144× | pow1_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 35 |
| 1 | 295 | 31 |
| 2 | 4274 | 31 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y) |
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 1 (/.f64 y (-.f64 (fma.f64 y 1/4 x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (-.f64 (fma.f64 y 1/4 x) z) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (fma.f64 y 1/4 x) z) (*.f64 4 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (-.f64 (fma.f64 y 1/4 x) z)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y))) (cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 2)) (cbrt.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 4 (-.f64 (fma.f64 y 1/4 x) z))) 2) (*.f64 (cbrt.f64 (*.f64 4 (-.f64 (fma.f64 y 1/4 x) z))) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y))) (sqrt.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sqrt.f64 (-.f64 (fma.f64 y 1/4 x) z))) (*.f64 (*.f64 2 (sqrt.f64 (-.f64 (fma.f64 y 1/4 x) z))) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (fma.f64 y 1/4 x) z) -4) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 4 (-.f64 (fma.f64 y 1/4 x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) 1) (/.f64 4 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 y) (-.f64 (fma.f64 y 1/4 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 4 (-.f64 (fma.f64 y 1/4 x) z))) 2) 1) (/.f64 (cbrt.f64 (*.f64 4 (-.f64 (fma.f64 y 1/4 x) z))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 2 (sqrt.f64 (-.f64 (fma.f64 y 1/4 x) z))) 1) (/.f64 (*.f64 2 (sqrt.f64 (-.f64 (fma.f64 y 1/4 x) z))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (-.f64 (fma.f64 y 1/4 x) z) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) (pow.f64 (cbrt.f64 y) 2)) (/.f64 4 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 4 (-.f64 (fma.f64 y 1/4 x) z)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 4 (-.f64 (fma.f64 y 1/4 x) z))) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 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4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/4 (/.f64 y (-.f64 (fma.f64 y 1/4 x) z))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 4 (-.f64 (fma.f64 y 1/4 x) z)) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)))) (/.f64 (pow.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 2) (-.f64 1 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 1)) (pow.f64 (cbrt.f64 (+.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 1)) 2) (cbrt.f64 (+.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 1)) (sqrt.f64 (+.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 2) (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 2)) (/.f64 1 (-.f64 1 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 2) (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)))) (+.f64 1 (pow.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y))) (-.f64 1 (pow.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 3)) (+.f64 1 (-.f64 (pow.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 2) (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 3)) (+.f64 (pow.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 2) (-.f64 1 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 2)) (-.f64 1 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 2) (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 2))) (neg.f64 (-.f64 1 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 2) 1) (-.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (-.f64 (fma.f64 y 1/4 x) z)) (/.f64 1 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 2)) (cbrt.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y))) (sqrt.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y))) 1)))))) |
| 1× | egg-herbie |
| 559× | times-frac_binary64 |
| 532× | associate-/r*_binary64 |
| 474× | fma-neg_binary64 |
| 470× | associate-/l*_binary64 |
| 203× | fma-def_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 824 |
| 1 | 91 | 824 |
| 2 | 172 | 711 |
| 3 | 305 | 706 |
| 4 | 599 | 706 |
| 5 | 1497 | 706 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 4 (/.f64 (-.f64 (*.f64 1/4 y) z) y)) |
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 1) (*.f64 4 (/.f64 z y))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 1) (*.f64 4 (/.f64 z y))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 1) (*.f64 4 (/.f64 z y))) |
(*.f64 4 (/.f64 x y)) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(*.f64 4 (/.f64 x y)) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(*.f64 4 (/.f64 (-.f64 x z) y)) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
1 |
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 1) (*.f64 4 (/.f64 z y))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 1) (*.f64 4 (/.f64 z y))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 1) (*.f64 4 (/.f64 z y))) |
1 |
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 1) (*.f64 4 (/.f64 z y))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 1) (*.f64 4 (/.f64 z y))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 1) (*.f64 4 (/.f64 z y))) |
(*.f64 4 (/.f64 (+.f64 (*.f64 1/4 y) x) y)) |
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 1) (*.f64 4 (/.f64 z y))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 1) (*.f64 4 (/.f64 z y))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 1) (*.f64 4 (/.f64 z y))) |
(*.f64 -4 (/.f64 z y)) |
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 1) (*.f64 4 (/.f64 z y))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 1) (*.f64 4 (/.f64 z y))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 1) (*.f64 4 (/.f64 z y))) |
(*.f64 -4 (/.f64 z y)) |
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 1) (*.f64 4 (/.f64 z y))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 1) (*.f64 4 (/.f64 z y))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 1) (*.f64 4 (/.f64 z y))) |
(-.f64 2 (*.f64 4 (/.f64 z y))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 2) (*.f64 4 (/.f64 z y))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 2) (*.f64 4 (/.f64 z y))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 2) (*.f64 4 (/.f64 z y))) |
(*.f64 4 (/.f64 x y)) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(*.f64 4 (/.f64 x y)) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(/.f64 (-.f64 (*.f64 4 x) (*.f64 4 z)) y) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
2 |
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 2) (*.f64 4 (/.f64 z y))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 2) (*.f64 4 (/.f64 z y))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 2) (*.f64 4 (/.f64 z y))) |
2 |
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 2) (*.f64 4 (/.f64 z y))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 2) (*.f64 4 (/.f64 z y))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 2) (*.f64 4 (/.f64 z y))) |
(+.f64 (*.f64 4 (/.f64 x y)) 2) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(*.f64 -4 (/.f64 z y)) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(*.f64 -4 (/.f64 z y)) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
| Outputs |
|---|
(*.f64 4 (/.f64 (-.f64 (*.f64 1/4 y) z) y)) |
(+.f64 1 (*.f64 (/.f64 z y) -4)) |
(/.f64 (fma.f64 z -4 y) y) |
(fma.f64 z (/.f64 -4 y) 1) |
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 1) (*.f64 4 (/.f64 z y))) |
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 1) |
(fma.f64 (-.f64 x z) (/.f64 4 y) 1) |
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 1) (*.f64 4 (/.f64 z y))) |
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 1) |
(fma.f64 (-.f64 x z) (/.f64 4 y) 1) |
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 1) (*.f64 4 (/.f64 z y))) |
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 1) |
(fma.f64 (-.f64 x z) (/.f64 4 y) 1) |
(*.f64 4 (/.f64 x y)) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 1) |
(fma.f64 (-.f64 x z) (/.f64 4 y) 1) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 1) |
(fma.f64 (-.f64 x z) (/.f64 4 y) 1) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 1) |
(fma.f64 (-.f64 x z) (/.f64 4 y) 1) |
(*.f64 4 (/.f64 x y)) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 1) |
(fma.f64 (-.f64 x z) (/.f64 4 y) 1) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 1) |
(fma.f64 (-.f64 x z) (/.f64 4 y) 1) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 1) |
(fma.f64 (-.f64 x z) (/.f64 4 y) 1) |
(*.f64 4 (/.f64 (-.f64 x z) y)) |
(*.f64 (/.f64 -4 y) (-.f64 z x)) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 1) |
(fma.f64 (-.f64 x z) (/.f64 4 y) 1) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 1) |
(fma.f64 (-.f64 x z) (/.f64 4 y) 1) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 1) |
(fma.f64 (-.f64 x z) (/.f64 4 y) 1) |
1 |
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 1) (*.f64 4 (/.f64 z y))) |
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 1) |
(fma.f64 (-.f64 x z) (/.f64 4 y) 1) |
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 1) (*.f64 4 (/.f64 z y))) |
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 1) |
(fma.f64 (-.f64 x z) (/.f64 4 y) 1) |
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 1) (*.f64 4 (/.f64 z y))) |
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 1) |
(fma.f64 (-.f64 x z) (/.f64 4 y) 1) |
1 |
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 1) (*.f64 4 (/.f64 z y))) |
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 1) |
(fma.f64 (-.f64 x z) (/.f64 4 y) 1) |
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 1) (*.f64 4 (/.f64 z y))) |
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 1) |
(fma.f64 (-.f64 x z) (/.f64 4 y) 1) |
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 1) (*.f64 4 (/.f64 z y))) |
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 1) |
(fma.f64 (-.f64 x z) (/.f64 4 y) 1) |
(*.f64 4 (/.f64 (+.f64 (*.f64 1/4 y) x) y)) |
(*.f64 4 (/.f64 (fma.f64 1/4 y x) y)) |
(/.f64 (fma.f64 4 x y) y) |
(fma.f64 4 (/.f64 x y) 1) |
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 1) (*.f64 4 (/.f64 z y))) |
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 1) |
(fma.f64 (-.f64 x z) (/.f64 4 y) 1) |
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 1) (*.f64 4 (/.f64 z y))) |
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 1) |
(fma.f64 (-.f64 x z) (/.f64 4 y) 1) |
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 1) (*.f64 4 (/.f64 z y))) |
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 1) |
(fma.f64 (-.f64 x z) (/.f64 4 y) 1) |
(*.f64 -4 (/.f64 z y)) |
(/.f64 (*.f64 -4 z) y) |
(*.f64 (/.f64 z y) -4) |
(*.f64 z (/.f64 -4 y)) |
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 1) (*.f64 4 (/.f64 z y))) |
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 1) |
(fma.f64 (-.f64 x z) (/.f64 4 y) 1) |
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 1) (*.f64 4 (/.f64 z y))) |
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 1) |
(fma.f64 (-.f64 x z) (/.f64 4 y) 1) |
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 1) (*.f64 4 (/.f64 z y))) |
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 1) |
(fma.f64 (-.f64 x z) (/.f64 4 y) 1) |
(*.f64 -4 (/.f64 z y)) |
(/.f64 (*.f64 -4 z) y) |
(*.f64 (/.f64 z y) -4) |
(*.f64 z (/.f64 -4 y)) |
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 1) (*.f64 4 (/.f64 z y))) |
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 1) |
(fma.f64 (-.f64 x z) (/.f64 4 y) 1) |
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 1) (*.f64 4 (/.f64 z y))) |
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 1) |
(fma.f64 (-.f64 x z) (/.f64 4 y) 1) |
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 1) (*.f64 4 (/.f64 z y))) |
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 1) |
(fma.f64 (-.f64 x z) (/.f64 4 y) 1) |
(-.f64 2 (*.f64 4 (/.f64 z y))) |
(+.f64 2 (/.f64 (*.f64 -4 z) y)) |
(+.f64 2 (*.f64 (/.f64 z y) -4)) |
(fma.f64 (/.f64 z y) -4 2) |
(fma.f64 z (/.f64 -4 y) 2) |
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 2) (*.f64 4 (/.f64 z y))) |
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 2) |
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 2) (*.f64 4 (/.f64 z y))) |
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 2) |
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 2) (*.f64 4 (/.f64 z y))) |
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 2) |
(*.f64 4 (/.f64 x y)) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 2) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 2) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 2) |
(*.f64 4 (/.f64 x y)) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 2) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 2) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 2) |
(/.f64 (-.f64 (*.f64 4 x) (*.f64 4 z)) y) |
(*.f64 4 (/.f64 (-.f64 x z) y)) |
(*.f64 (/.f64 -4 y) (-.f64 z x)) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 2) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 2) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 2) |
2 |
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 2) (*.f64 4 (/.f64 z y))) |
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 2) |
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 2) (*.f64 4 (/.f64 z y))) |
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 2) |
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 2) (*.f64 4 (/.f64 z y))) |
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 2) |
2 |
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 2) (*.f64 4 (/.f64 z y))) |
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 2) |
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 2) (*.f64 4 (/.f64 z y))) |
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 2) |
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 2) (*.f64 4 (/.f64 z y))) |
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 2) |
(+.f64 (*.f64 4 (/.f64 x y)) 2) |
(fma.f64 4 (/.f64 x y) 2) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 2) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 2) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 2) |
(*.f64 -4 (/.f64 z y)) |
(/.f64 (*.f64 -4 z) y) |
(*.f64 (/.f64 z y) -4) |
(*.f64 z (/.f64 -4 y)) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 2) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 2) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 2) |
(*.f64 -4 (/.f64 z y)) |
(/.f64 (*.f64 -4 z) y) |
(*.f64 (/.f64 z y) -4) |
(*.f64 z (/.f64 -4 y)) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 2) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 2) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y))) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 2) |
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 96 | 1 | 97 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 97 | 2 | 99 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 2) (*.f64 4 (/.f64 z y))) |
| 0.1b | (fma.f64 (/.f64 4 y) (-.f64 x z) 2) |
Compiled 1763 to 1233 computations (30.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 4 (/.f64 x y)) 2) |
| ✓ | 0.0b | (-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 2) (*.f64 4 (/.f64 z y))) |
| ✓ | 0.0b | (*.f64 4 (/.f64 x y)) |
| ✓ | 0.0b | (*.f64 4 (/.f64 z y)) |
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | inf | (*.f64 4 (/.f64 z y)) |
| 1.0ms | z | @ | 0 | (*.f64 4 (/.f64 z y)) |
| 0.0ms | z | @ | -inf | (*.f64 4 (/.f64 z y)) |
| 0.0ms | y | @ | inf | (*.f64 4 (/.f64 z y)) |
| 0.0ms | y | @ | inf | (*.f64 4 (/.f64 x y)) |
| 1× | batch-egg-rewrite |
| 252× | expm1-udef_binary64 |
| 252× | log1p-udef_binary64 |
| 241× | fma-neg_binary64 |
| 143× | add-sqr-sqrt_binary64 |
| 139× | *-un-lft-identity_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 39 |
| 1 | 280 | 39 |
| 2 | 3989 | 39 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 4 (/.f64 z y)) |
(*.f64 4 (/.f64 x y)) |
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 2) (*.f64 4 (/.f64 z y))) |
(+.f64 (*.f64 4 (/.f64 x y)) 2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 4 (/.f64 z y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 z) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 4 z)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4 z) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4 z) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4 z) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 z) 4) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (neg.f64 z)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 4 (/.f64 z y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 4 (/.f64 z y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (sqrt.f64 (/.f64 z y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 z y) 3) 64) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 z y) 2) 16))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 z y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 4 (/.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 z y) 3) 64))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 4 (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 4 (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 4 (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 4 (/.f64 z y))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 4 (/.f64 y x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 4 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4 x) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4 x) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) 4) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 4 (/.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 4 (/.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 4 (/.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 x y) 3) 64) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 16))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 x y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 4 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 x y) 3) 64))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 4 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 4 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 4 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 4 (/.f64 y x))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 4 (/.f64 y x)) (+.f64 2 (/.f64 (*.f64 -4 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 4 (/.f64 y x)) (*.f64 (+.f64 2 (/.f64 (*.f64 -4 z) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (fma.f64 4 (/.f64 x y) (/.f64 (*.f64 -4 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (+.f64 (/.f64 4 (/.f64 y x)) (/.f64 (*.f64 -4 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 4 (/.f64 x y) 2) (/.f64 (*.f64 -4 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 4 (/.f64 x y) 2) (*.f64 (/.f64 (*.f64 -4 z) y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 2 (fma.f64 4 (/.f64 x y) (/.f64 (*.f64 -4 z) y))) (fma.f64 (/.f64 (*.f64 -4 z) y) 1 (*.f64 4 (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 2 (fma.f64 4 (/.f64 x y) (/.f64 (*.f64 -4 z) y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 4 (/.f64 z y)))) (cbrt.f64 (*.f64 (pow.f64 (/.f64 z y) 2) 16)) 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 2 (fma.f64 4 (/.f64 x y) (/.f64 (*.f64 -4 z) y)))) (sqrt.f64 (+.f64 2 (fma.f64 4 (/.f64 x y) (/.f64 (*.f64 -4 z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 4 (/.f64 x y) 2) 3) (*.f64 (pow.f64 (/.f64 z y) 3) 64)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 4 (/.f64 x y) 2) 2) (*.f64 (*.f64 4 (/.f64 z y)) (+.f64 (*.f64 4 (/.f64 z y)) (fma.f64 4 (/.f64 x y) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 4 (/.f64 x y) 2) 2) (*.f64 (pow.f64 (/.f64 z y) 2) 16)) (/.f64 1 (+.f64 (*.f64 4 (/.f64 z y)) (fma.f64 4 (/.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 4 (/.f64 x y) 2)) (*.f64 2 (sqrt.f64 (/.f64 z y)))) (-.f64 (sqrt.f64 (fma.f64 4 (/.f64 x y) 2)) (*.f64 2 (sqrt.f64 (/.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 4 (/.f64 x y) 2) 2) (*.f64 (*.f64 4 (/.f64 z y)) (+.f64 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y)) (+.f64 (*.f64 4 (/.f64 z y)) (fma.f64 4 (/.f64 x y) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 4 (/.f64 x y) 2) 2) (*.f64 (pow.f64 (/.f64 z y) 2) 16))) (neg.f64 (+.f64 (*.f64 4 (/.f64 z y)) (fma.f64 4 (/.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 8 (*.f64 (pow.f64 (/.f64 x y) 3) 64)) y) (*.f64 (+.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 16) (-.f64 4 (*.f64 (/.f64 x y) 8))) (*.f64 4 z))) (*.f64 (+.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 16) (-.f64 4 (*.f64 (/.f64 x y) 8))) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 x y) 2) 16 -4) y) (*.f64 (fma.f64 4 (/.f64 x y) -2) (*.f64 4 z))) (*.f64 (fma.f64 4 (/.f64 x y) -2) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 (/.f64 x y) 3) 64) (pow.f64 (+.f64 2 (/.f64 (*.f64 -4 z) y)) 3)) (+.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 16) (-.f64 (*.f64 (+.f64 2 (/.f64 (*.f64 -4 z) y)) (+.f64 2 (/.f64 (*.f64 -4 z) y))) (*.f64 (/.f64 4 (/.f64 y x)) (+.f64 2 (/.f64 (*.f64 -4 z) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 4 (/.f64 x y) 2) 3) (pow.f64 (/.f64 (*.f64 -4 z) y) 3)) (+.f64 (pow.f64 (fma.f64 4 (/.f64 x y) 2) 2) (-.f64 (*.f64 (/.f64 (*.f64 -4 z) y) (/.f64 (*.f64 -4 z) y)) (*.f64 (fma.f64 4 (/.f64 x y) 2) (/.f64 (*.f64 -4 z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 16) (*.f64 (+.f64 2 (/.f64 (*.f64 -4 z) y)) (+.f64 2 (/.f64 (*.f64 -4 z) y)))) (-.f64 (/.f64 4 (/.f64 y x)) (+.f64 2 (/.f64 (*.f64 -4 z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 4 (/.f64 x y) 2) 2) (*.f64 (/.f64 (*.f64 -4 z) y) (/.f64 (*.f64 -4 z) y))) (-.f64 (fma.f64 4 (/.f64 x y) 2) (/.f64 (*.f64 -4 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 2 (fma.f64 4 (/.f64 x y) (/.f64 (*.f64 -4 z) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 (fma.f64 4 (/.f64 x y) (/.f64 (*.f64 -4 z) y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 2 (fma.f64 4 (/.f64 x y) (/.f64 (*.f64 -4 z) y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 2 (fma.f64 4 (/.f64 x y) (/.f64 (*.f64 -4 z) y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 2 (fma.f64 4 (/.f64 x y) (/.f64 (*.f64 -4 z) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 2 (fma.f64 4 (/.f64 x y) (/.f64 (*.f64 -4 z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 2 (fma.f64 4 (/.f64 x y) (/.f64 (*.f64 -4 z) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 2 (fma.f64 4 (/.f64 x y) (/.f64 (*.f64 -4 z) y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 2 (fma.f64 4 (/.f64 x y) (/.f64 (*.f64 -4 z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 (/.f64 x y) (+.f64 2 (/.f64 (*.f64 -4 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x y) 4 (+.f64 2 (/.f64 (*.f64 -4 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 4 (/.f64 x y) 2) 1 (/.f64 (*.f64 -4 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 4 (/.f64 y x)) (+.f64 2 (/.f64 (*.f64 -4 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 4 (/.f64 x y) 2) (/.f64 (*.f64 -4 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 4 (/.f64 x y) 2)) (pow.f64 (cbrt.f64 (fma.f64 4 (/.f64 x y) 2)) 2) (/.f64 (*.f64 -4 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 4 (/.f64 x y) 2)) 2) (cbrt.f64 (fma.f64 4 (/.f64 x y) 2)) (/.f64 (*.f64 -4 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 4 (/.f64 y x))) 2) (cbrt.f64 (/.f64 4 (/.f64 y x))) (+.f64 2 (/.f64 (*.f64 -4 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 4 (/.f64 x y) 2)) (sqrt.f64 (fma.f64 4 (/.f64 x y) 2)) (/.f64 (*.f64 -4 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 4 (/.f64 y x))) (sqrt.f64 (/.f64 4 (/.f64 y x))) (+.f64 2 (/.f64 (*.f64 -4 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 8 (*.f64 (pow.f64 (/.f64 x y) 3) 64)) (/.f64 1 (+.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 16) (-.f64 4 (*.f64 (/.f64 x y) 8)))) (/.f64 (*.f64 -4 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 (/.f64 x y) 2) 16 -4) (/.f64 1 (fma.f64 4 (/.f64 x y) -2)) (/.f64 (*.f64 -4 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 2 (fma.f64 4 (/.f64 x y) (/.f64 (*.f64 -4 z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 2 (fma.f64 4 (/.f64 x y) (/.f64 (*.f64 -4 z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 2 (fma.f64 4 (/.f64 x y) (/.f64 (*.f64 -4 z) y)))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 4 (/.f64 x y) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 16) (fma.f64 4 (/.f64 x y) -2)) (/.f64 4 (fma.f64 4 (/.f64 x y) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 4 (/.f64 x y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 4 (/.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 4 (/.f64 x y) 2)) (pow.f64 (cbrt.f64 (fma.f64 4 (/.f64 x y) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 4 (/.f64 x y) 2)) 2) (cbrt.f64 (fma.f64 4 (/.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 4 (/.f64 x y) 2)) (sqrt.f64 (fma.f64 4 (/.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 8 (*.f64 (pow.f64 (/.f64 x y) 3) 64)) (/.f64 1 (+.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 16) (-.f64 4 (*.f64 (/.f64 x y) 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 (/.f64 x y) 2) 16 -4) (/.f64 1 (fma.f64 4 (/.f64 x y) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 16) (-.f64 4 (*.f64 (/.f64 x y) 8))) (+.f64 8 (*.f64 (pow.f64 (/.f64 x y) 3) 64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 4 (/.f64 x y) -2) (fma.f64 (pow.f64 (/.f64 x y) 2) 16 -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 8 (*.f64 (pow.f64 (/.f64 x y) 3) 64)) (+.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 16) (-.f64 4 (*.f64 (/.f64 x y) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 8 (*.f64 (pow.f64 (/.f64 x y) 3) 64)) (+.f64 4 (-.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 16) (*.f64 (/.f64 x y) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (/.f64 x y) 2) 16 -4) (fma.f64 4 (/.f64 x y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 8 (*.f64 (pow.f64 (/.f64 x y) 3) 64))) (neg.f64 (+.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 16) (-.f64 4 (*.f64 (/.f64 x y) 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) 2) 16 -4)) (neg.f64 (fma.f64 4 (/.f64 x y) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4 (*.f64 (pow.f64 (/.f64 x y) 2) 16)) (-.f64 2 (/.f64 4 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 4 (/.f64 x y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 4 (/.f64 x y) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 4 (/.f64 x y) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 4 (/.f64 x y) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 4 (/.f64 x y) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 4 (/.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 4 (/.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 4 (/.f64 x y) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 4 (/.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 (/.f64 x y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x y) 4 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 4 (/.f64 y x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 4 (/.f64 y x))) 2) (cbrt.f64 (/.f64 4 (/.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 4 (/.f64 y x))) (sqrt.f64 (/.f64 4 (/.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 4 (/.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 4 (/.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 4 (/.f64 x y) 2)) 1)))))) |
| 1× | egg-herbie |
| 869× | fma-neg_binary64 |
| 499× | fma-def_binary64 |
| 301× | cancel-sign-sub-inv_binary64 |
| 119× | distribute-rgt-in_binary64 |
| 86× | div-sub_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 388 |
| 1 | 45 | 388 |
| 2 | 90 | 386 |
| 3 | 155 | 350 |
| 4 | 281 | 350 |
| 5 | 473 | 350 |
| 6 | 786 | 350 |
| 7 | 1199 | 350 |
| 8 | 1772 | 350 |
| 9 | 2700 | 350 |
| 10 | 3288 | 350 |
| 11 | 3334 | 350 |
| 12 | 3348 | 350 |
| 13 | 3353 | 350 |
| 14 | 3357 | 350 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 2 (*.f64 4 (/.f64 z y))) |
(*.f64 4 (/.f64 x y)) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(*.f64 4 (/.f64 x y)) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(/.f64 (-.f64 (*.f64 4 x) (*.f64 4 z)) y) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
2 |
2 |
(+.f64 (*.f64 4 (/.f64 x y)) 2) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(*.f64 -4 (/.f64 z y)) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(*.f64 -4 (/.f64 z y)) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
2 |
(*.f64 4 (/.f64 x y)) |
(+.f64 2 (*.f64 4 (/.f64 x y))) |
(+.f64 2 (*.f64 4 (/.f64 x y))) |
(+.f64 2 (*.f64 4 (/.f64 x y))) |
(*.f64 4 (/.f64 x y)) |
(+.f64 2 (*.f64 4 (/.f64 x y))) |
(+.f64 2 (*.f64 4 (/.f64 x y))) |
(+.f64 2 (*.f64 4 (/.f64 x y))) |
(*.f64 4 (/.f64 x y)) |
(+.f64 2 (*.f64 4 (/.f64 x y))) |
(+.f64 2 (*.f64 4 (/.f64 x y))) |
(+.f64 2 (*.f64 4 (/.f64 x y))) |
2 |
2 |
| Outputs |
|---|
(-.f64 2 (*.f64 4 (/.f64 z y))) |
(+.f64 2 (*.f64 (/.f64 z y) -4)) |
(fma.f64 (/.f64 z y) -4 2) |
(fma.f64 z (/.f64 -4 y) 2) |
(*.f64 4 (/.f64 x y)) |
(*.f64 x (/.f64 4 y)) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y)) |
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z)))) |
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z))) |
(fma.f64 (/.f64 4 y) (-.f64 x z) 2) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 2) |
(fma.f64 (-.f64 x z) (/.f64 4 y) 2) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y)) |
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z)))) |
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z))) |
(fma.f64 (/.f64 4 y) (-.f64 x z) 2) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 2) |
(fma.f64 (-.f64 x z) (/.f64 4 y) 2) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y)) |
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z)))) |
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z))) |
(fma.f64 (/.f64 4 y) (-.f64 x z) 2) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 2) |
(fma.f64 (-.f64 x z) (/.f64 4 y) 2) |
(*.f64 4 (/.f64 x y)) |
(*.f64 x (/.f64 4 y)) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y)) |
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z)))) |
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z))) |
(fma.f64 (/.f64 4 y) (-.f64 x z) 2) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 2) |
(fma.f64 (-.f64 x z) (/.f64 4 y) 2) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y)) |
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z)))) |
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z))) |
(fma.f64 (/.f64 4 y) (-.f64 x z) 2) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 2) |
(fma.f64 (-.f64 x z) (/.f64 4 y) 2) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y)) |
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z)))) |
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z))) |
(fma.f64 (/.f64 4 y) (-.f64 x z) 2) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 2) |
(fma.f64 (-.f64 x z) (/.f64 4 y) 2) |
(/.f64 (-.f64 (*.f64 4 x) (*.f64 4 z)) y) |
(/.f64 (*.f64 4 (-.f64 x z)) y) |
(/.f64 4 (/.f64 y (-.f64 x z))) |
(*.f64 (/.f64 4 y) (-.f64 x z)) |
(*.f64 (-.f64 x z) (/.f64 4 y)) |
(*.f64 4 (/.f64 (-.f64 x z) y)) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y)) |
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z)))) |
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z))) |
(fma.f64 (/.f64 4 y) (-.f64 x z) 2) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 2) |
(fma.f64 (-.f64 x z) (/.f64 4 y) 2) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y)) |
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z)))) |
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z))) |
(fma.f64 (/.f64 4 y) (-.f64 x z) 2) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 2) |
(fma.f64 (-.f64 x z) (/.f64 4 y) 2) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y)) |
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z)))) |
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z))) |
(fma.f64 (/.f64 4 y) (-.f64 x z) 2) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 2) |
(fma.f64 (-.f64 x z) (/.f64 4 y) 2) |
2 |
2 |
(+.f64 (*.f64 4 (/.f64 x y)) 2) |
(fma.f64 4 (/.f64 x y) 2) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y)) |
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z)))) |
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z))) |
(fma.f64 (/.f64 4 y) (-.f64 x z) 2) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 2) |
(fma.f64 (-.f64 x z) (/.f64 4 y) 2) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y)) |
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z)))) |
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z))) |
(fma.f64 (/.f64 4 y) (-.f64 x z) 2) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 2) |
(fma.f64 (-.f64 x z) (/.f64 4 y) 2) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y)) |
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z)))) |
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z))) |
(fma.f64 (/.f64 4 y) (-.f64 x z) 2) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 2) |
(fma.f64 (-.f64 x z) (/.f64 4 y) 2) |
(*.f64 -4 (/.f64 z y)) |
(*.f64 (/.f64 z y) -4) |
(*.f64 z (/.f64 -4 y)) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y)) |
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z)))) |
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z))) |
(fma.f64 (/.f64 4 y) (-.f64 x z) 2) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 2) |
(fma.f64 (-.f64 x z) (/.f64 4 y) 2) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y)) |
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z)))) |
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z))) |
(fma.f64 (/.f64 4 y) (-.f64 x z) 2) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 2) |
(fma.f64 (-.f64 x z) (/.f64 4 y) 2) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y)) |
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z)))) |
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z))) |
(fma.f64 (/.f64 4 y) (-.f64 x z) 2) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 2) |
(fma.f64 (-.f64 x z) (/.f64 4 y) 2) |
(*.f64 -4 (/.f64 z y)) |
(*.f64 (/.f64 z y) -4) |
(*.f64 z (/.f64 -4 y)) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y)) |
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z)))) |
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z))) |
(fma.f64 (/.f64 4 y) (-.f64 x z) 2) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 2) |
(fma.f64 (-.f64 x z) (/.f64 4 y) 2) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y)) |
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z)))) |
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z))) |
(fma.f64 (/.f64 4 y) (-.f64 x z) 2) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 2) |
(fma.f64 (-.f64 x z) (/.f64 4 y) 2) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y)) |
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z)))) |
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z))) |
(fma.f64 (/.f64 4 y) (-.f64 x z) 2) |
(fma.f64 4 (/.f64 (-.f64 x z) y) 2) |
(fma.f64 (-.f64 x z) (/.f64 4 y) 2) |
2 |
(*.f64 4 (/.f64 x y)) |
(*.f64 x (/.f64 4 y)) |
(+.f64 2 (*.f64 4 (/.f64 x y))) |
(fma.f64 4 (/.f64 x y) 2) |
(+.f64 2 (*.f64 4 (/.f64 x y))) |
(fma.f64 4 (/.f64 x y) 2) |
(+.f64 2 (*.f64 4 (/.f64 x y))) |
(fma.f64 4 (/.f64 x y) 2) |
(*.f64 4 (/.f64 x y)) |
(*.f64 x (/.f64 4 y)) |
(+.f64 2 (*.f64 4 (/.f64 x y))) |
(fma.f64 4 (/.f64 x y) 2) |
(+.f64 2 (*.f64 4 (/.f64 x y))) |
(fma.f64 4 (/.f64 x y) 2) |
(+.f64 2 (*.f64 4 (/.f64 x y))) |
(fma.f64 4 (/.f64 x y) 2) |
(*.f64 4 (/.f64 x y)) |
(*.f64 x (/.f64 4 y)) |
(+.f64 2 (*.f64 4 (/.f64 x y))) |
(fma.f64 4 (/.f64 x y) 2) |
(+.f64 2 (*.f64 4 (/.f64 x y))) |
(fma.f64 4 (/.f64 x y) 2) |
(+.f64 2 (*.f64 4 (/.f64 x y))) |
(fma.f64 4 (/.f64 x y) 2) |
2 |
2 |
2 alts after pruning (1 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 146 | 0 | 146 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 146 | 2 | 148 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 2) (*.f64 4 (/.f64 z y))) |
| ▶ | 0.1b | (fma.f64 (/.f64 4 y) (-.f64 x z) 2) |
Compiled 2774 to 1715 computations (38.2% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (fma.f64 (/.f64 4 y) (-.f64 x z) 2) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (fma.f64 (/.f64 4 y) (-.f64 x z) 2) |
| 1.0ms | x | @ | 0 | (fma.f64 (/.f64 4 y) (-.f64 x z) 2) |
| 1.0ms | z | @ | 0 | (fma.f64 (/.f64 4 y) (-.f64 x z) 2) |
| 0.0ms | y | @ | -inf | (fma.f64 (/.f64 4 y) (-.f64 x z) 2) |
| 0.0ms | y | @ | inf | (fma.f64 (/.f64 4 y) (-.f64 x z) 2) |
| 1× | batch-egg-rewrite |
| 418× | log-prod_binary64 |
| 368× | prod-diff_binary64 |
| 191× | fma-def_binary64 |
| 176× | expm1-udef_binary64 |
| 176× | log1p-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 11 |
| 1 | 197 | 11 |
| 2 | 2527 | 11 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (/.f64 4 y) (-.f64 x z) 2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (/.f64 4 y) (-.f64 x z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2))) (cbrt.f64 (exp.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (/.f64 4 y) (-.f64 x z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2)) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2)) 2) (cbrt.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2)) (sqrt.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 3) 8) (fma.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) (*.f64 (/.f64 4 y) (-.f64 x z)) (-.f64 4 (*.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) (*.f64 (/.f64 4 y) (-.f64 x z)) -4) (fma.f64 (/.f64 4 y) (-.f64 x z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2)) 1)))))) |
| 1× | egg-herbie |
| 1008× | fma-def_binary64 |
| 805× | fma-neg_binary64 |
| 284× | cancel-sign-sub-inv_binary64 |
| 105× | distribute-rgt-in_binary64 |
| 80× | sub-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 409 |
| 1 | 49 | 409 |
| 2 | 96 | 407 |
| 3 | 161 | 353 |
| 4 | 302 | 353 |
| 5 | 529 | 353 |
| 6 | 901 | 353 |
| 7 | 1360 | 353 |
| 8 | 1991 | 353 |
| 9 | 3143 | 353 |
| 10 | 3659 | 353 |
| 11 | 3695 | 353 |
| 12 | 3700 | 353 |
| 13 | 3700 | 353 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 4 x) (*.f64 4 z)) y) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
2 |
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 2) (*.f64 4 (/.f64 z y))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 2) (*.f64 4 (/.f64 z y))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 2) (*.f64 4 (/.f64 z y))) |
2 |
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 2) (*.f64 4 (/.f64 z y))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 2) (*.f64 4 (/.f64 z y))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 2) (*.f64 4 (/.f64 z y))) |
(-.f64 2 (*.f64 4 (/.f64 z y))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 2) (*.f64 4 (/.f64 z y))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 2) (*.f64 4 (/.f64 z y))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 2) (*.f64 4 (/.f64 z y))) |
(*.f64 4 (/.f64 x y)) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(*.f64 4 (/.f64 x y)) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(+.f64 (*.f64 4 (/.f64 x y)) 2) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(*.f64 -4 (/.f64 z y)) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(*.f64 -4 (/.f64 z y)) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 4 x) (*.f64 4 z)) y) |
(/.f64 (*.f64 4 (-.f64 x z)) y) |
(/.f64 4 (/.f64 y (-.f64 x z))) |
(*.f64 (/.f64 4 y) (-.f64 x z)) |
(*.f64 (-.f64 x z) (/.f64 4 y)) |
(*.f64 -4 (/.f64 (-.f64 z x) y)) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y)) |
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z)))) |
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z))) |
(fma.f64 (/.f64 4 y) (-.f64 x z) 2) |
(fma.f64 (-.f64 x z) (/.f64 4 y) 2) |
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y)) |
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z)))) |
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z))) |
(fma.f64 (/.f64 4 y) (-.f64 x z) 2) |
(fma.f64 (-.f64 x z) (/.f64 4 y) 2) |
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y)) |
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z)))) |
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z))) |
(fma.f64 (/.f64 4 y) (-.f64 x z) 2) |
(fma.f64 (-.f64 x z) (/.f64 4 y) 2) |
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2) |
2 |
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 2) (*.f64 4 (/.f64 z y))) |
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y)) |
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z)))) |
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z))) |
(fma.f64 (/.f64 4 y) (-.f64 x z) 2) |
(fma.f64 (-.f64 x z) (/.f64 4 y) 2) |
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2) |
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 2) (*.f64 4 (/.f64 z y))) |
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y)) |
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z)))) |
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z))) |
(fma.f64 (/.f64 4 y) (-.f64 x z) 2) |
(fma.f64 (-.f64 x z) (/.f64 4 y) 2) |
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2) |
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 2) (*.f64 4 (/.f64 z y))) |
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y)) |
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z)))) |
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z))) |
(fma.f64 (/.f64 4 y) (-.f64 x z) 2) |
(fma.f64 (-.f64 x z) (/.f64 4 y) 2) |
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2) |
2 |
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 2) (*.f64 4 (/.f64 z y))) |
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y)) |
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z)))) |
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z))) |
(fma.f64 (/.f64 4 y) (-.f64 x z) 2) |
(fma.f64 (-.f64 x z) (/.f64 4 y) 2) |
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2) |
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 2) (*.f64 4 (/.f64 z y))) |
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y)) |
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z)))) |
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z))) |
(fma.f64 (/.f64 4 y) (-.f64 x z) 2) |
(fma.f64 (-.f64 x z) (/.f64 4 y) 2) |
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2) |
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 2) (*.f64 4 (/.f64 z y))) |
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y)) |
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z)))) |
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z))) |
(fma.f64 (/.f64 4 y) (-.f64 x z) 2) |
(fma.f64 (-.f64 x z) (/.f64 4 y) 2) |
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2) |
(-.f64 2 (*.f64 4 (/.f64 z y))) |
(+.f64 2 (*.f64 (/.f64 z y) -4)) |
(+.f64 2 (/.f64 (*.f64 z -4) y)) |
(fma.f64 (/.f64 z y) -4 2) |
(fma.f64 (/.f64 -4 y) z 2) |
(fma.f64 z (/.f64 -4 y) 2) |
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 2) (*.f64 4 (/.f64 z y))) |
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y)) |
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z)))) |
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z))) |
(fma.f64 (/.f64 4 y) (-.f64 x z) 2) |
(fma.f64 (-.f64 x z) (/.f64 4 y) 2) |
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2) |
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 2) (*.f64 4 (/.f64 z y))) |
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y)) |
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z)))) |
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z))) |
(fma.f64 (/.f64 4 y) (-.f64 x z) 2) |
(fma.f64 (-.f64 x z) (/.f64 4 y) 2) |
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2) |
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 2) (*.f64 4 (/.f64 z y))) |
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y)) |
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z)))) |
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z))) |
(fma.f64 (/.f64 4 y) (-.f64 x z) 2) |
(fma.f64 (-.f64 x z) (/.f64 4 y) 2) |
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2) |
(*.f64 4 (/.f64 x y)) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y)) |
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z)))) |
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z))) |
(fma.f64 (/.f64 4 y) (-.f64 x z) 2) |
(fma.f64 (-.f64 x z) (/.f64 4 y) 2) |
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y)) |
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z)))) |
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z))) |
(fma.f64 (/.f64 4 y) (-.f64 x z) 2) |
(fma.f64 (-.f64 x z) (/.f64 4 y) 2) |
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y)) |
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z)))) |
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z))) |
(fma.f64 (/.f64 4 y) (-.f64 x z) 2) |
(fma.f64 (-.f64 x z) (/.f64 4 y) 2) |
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2) |
(*.f64 4 (/.f64 x y)) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y)) |
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z)))) |
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z))) |
(fma.f64 (/.f64 4 y) (-.f64 x z) 2) |
(fma.f64 (-.f64 x z) (/.f64 4 y) 2) |
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y)) |
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z)))) |
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z))) |
(fma.f64 (/.f64 4 y) (-.f64 x z) 2) |
(fma.f64 (-.f64 x z) (/.f64 4 y) 2) |
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y)) |
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z)))) |
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z))) |
(fma.f64 (/.f64 4 y) (-.f64 x z) 2) |
(fma.f64 (-.f64 x z) (/.f64 4 y) 2) |
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2) |
(+.f64 (*.f64 4 (/.f64 x y)) 2) |
(fma.f64 4 (/.f64 x y) 2) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y)) |
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z)))) |
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z))) |
(fma.f64 (/.f64 4 y) (-.f64 x z) 2) |
(fma.f64 (-.f64 x z) (/.f64 4 y) 2) |
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y)) |
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z)))) |
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z))) |
(fma.f64 (/.f64 4 y) (-.f64 x z) 2) |
(fma.f64 (-.f64 x z) (/.f64 4 y) 2) |
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y)) |
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z)))) |
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z))) |
(fma.f64 (/.f64 4 y) (-.f64 x z) 2) |
(fma.f64 (-.f64 x z) (/.f64 4 y) 2) |
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2) |
(*.f64 -4 (/.f64 z y)) |
(*.f64 (/.f64 z y) -4) |
(/.f64 (*.f64 z -4) y) |
(/.f64 z (/.f64 y -4)) |
(*.f64 z (/.f64 -4 y)) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y)) |
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z)))) |
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z))) |
(fma.f64 (/.f64 4 y) (-.f64 x z) 2) |
(fma.f64 (-.f64 x z) (/.f64 4 y) 2) |
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y)) |
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z)))) |
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z))) |
(fma.f64 (/.f64 4 y) (-.f64 x z) 2) |
(fma.f64 (-.f64 x z) (/.f64 4 y) 2) |
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y)) |
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z)))) |
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z))) |
(fma.f64 (/.f64 4 y) (-.f64 x z) 2) |
(fma.f64 (-.f64 x z) (/.f64 4 y) 2) |
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2) |
(*.f64 -4 (/.f64 z y)) |
(*.f64 (/.f64 z y) -4) |
(/.f64 (*.f64 z -4) y) |
(/.f64 z (/.f64 y -4)) |
(*.f64 z (/.f64 -4 y)) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y)) |
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z)))) |
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z))) |
(fma.f64 (/.f64 4 y) (-.f64 x z) 2) |
(fma.f64 (-.f64 x z) (/.f64 4 y) 2) |
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y)) |
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z)))) |
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z))) |
(fma.f64 (/.f64 4 y) (-.f64 x z) 2) |
(fma.f64 (-.f64 x z) (/.f64 4 y) 2) |
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 z y))) |
(+.f64 2 (/.f64 (*.f64 4 (-.f64 x z)) y)) |
(+.f64 2 (/.f64 4 (/.f64 y (-.f64 x z)))) |
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z))) |
(fma.f64 (/.f64 4 y) (-.f64 x z) 2) |
(fma.f64 (-.f64 x z) (/.f64 4 y) 2) |
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2) |
2 alts after pruning (0 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 39 | 0 | 39 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 39 | 2 | 41 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 2) (*.f64 4 (/.f64 z y))) |
| ✓ | 0.1b | (fma.f64 (/.f64 4 y) (-.f64 x z) 2) |
Compiled 504 to 310 computations (38.5% saved)
Total 0.0b remaining (52.4%)
Threshold costs 0.0b (52.4%)
Compiled 390 to 244 computations (37.4% saved)
| 1× | egg-herbie |
| 2× | +-commutative_binary64 |
| 2× | sub-neg_binary64 |
| 1× | *-commutative_binary64 |
| 1× | neg-sub0_binary64 |
| 1× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 11 |
| 1 | 11 | 11 |
| 2 | 16 | 11 |
| 3 | 18 | 11 |
| 4 | 19 | 11 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2) |
| Outputs |
|---|
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2) |
| 1× | done |
Compiled 49 to 36 computations (26.5% saved)
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