Time bar (total: 3.6s)
| 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 |
| 50% | 46.8% | 3.2% | 7 |
| 56.2% | 37.5% | 6.3% | 8 |
| 62.4% | 25.8% | 11.8% | 9 |
| 65.6% | 20.3% | 14.1% | 10 |
| 68.7% | 13.5% | 17.9% | 11 |
| 70.2% | 10.5% | 19.2% | 12 |
| 71.8% | 6.9% | 21.3% | 13 |
| 72.6% | 5.4% | 22% | 14 |
Compiled 14 to 11 computations (21.4% saved)
| 872.0ms | 8256× | body | 128 | valid |
| 36.0ms | 374× | body | 128 | invalid |
| 2× | egg-herbie |
| 620× | fma-def_binary64 |
| 514× | distribute-rgt-in_binary64 |
| 475× | distribute-lft-in_binary64 |
| 190× | div-sub_binary64 |
| 178× | times-frac_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 32 |
| 1 | 41 | 32 |
| 2 | 133 | 32 |
| 3 | 395 | 32 |
| 4 | 1406 | 32 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3)) |
(/.f64 (*.f64 (-.f64 1 y) (-.f64 3 y)) (*.f64 x 3)) |
| Outputs |
|---|
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3)) |
(*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3)) |
(*.f64 (/.f64 (-.f64 1 x) y) (-.f64 1 (/.f64 x 3))) |
(*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) (*.f64 3 y))) |
(*.f64 (-.f64 3 x) (/.f64 (-.f64 1/3 (/.f64 x 3)) y)) |
(/.f64 (-.f64 3 x) (/.f64 (*.f64 3 y) (-.f64 1 x))) |
(/.f64 (*.f64 (-.f64 1 y) (-.f64 3 y)) (*.f64 x 3)) |
(*.f64 (/.f64 (-.f64 1 y) x) (/.f64 (-.f64 3 y) 3)) |
(*.f64 (/.f64 (-.f64 1 y) x) (-.f64 1 (/.f64 y 3))) |
(/.f64 (-.f64 1 y) (*.f64 (/.f64 x (-.f64 3 y)) 3)) |
(*.f64 (-.f64 1 y) (*.f64 (-.f64 3 y) (/.f64 1/3 x))) |
Compiled 13 to 10 computations (23.1% saved)
| 1× | egg-herbie |
| 417× | unsub-neg_binary64 |
| 308× | fma-def_binary64 |
| 306× | fma-neg_binary64 |
| 269× | times-frac_binary64 |
| 261× | distribute-rgt-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 16 |
| 1 | 24 | 16 |
| 2 | 71 | 16 |
| 3 | 204 | 16 |
| 4 | 733 | 16 |
| 5 | 3250 | 16 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3)) |
| Outputs |
|---|
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3)) |
(*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3)) |
(/.f64 (*.f64 (-.f64 1 x) (-.f64 1 (/.f64 x 3))) y) |
(*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) (*.f64 3 y))) |
(*.f64 (-.f64 1 x) (/.f64 (-.f64 1 (/.f64 x 3)) y)) |
(*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) (/.f64 1/3 y))) |
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 |
|---|---|---|
| 8.0b | (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3)) | |
| ▶ | 0.4b | (*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) (/.f64 1/3 y))) |
Compiled 76 to 58 computations (23.7% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) (/.f64 1/3 y))) |
| ✓ | 0.3b | (*.f64 (-.f64 3 x) (/.f64 1/3 y)) |
| ✓ | 0.4b | (/.f64 1/3 y) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | -inf | (*.f64 (-.f64 3 x) (/.f64 1/3 y)) |
| 2.0ms | y | @ | 0 | (*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) (/.f64 1/3 y))) |
| 1.0ms | x | @ | -inf | (*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) (/.f64 1/3 y))) |
| 1.0ms | x | @ | inf | (*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) (/.f64 1/3 y))) |
| 1.0ms | x | @ | 0 | (*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) (/.f64 1/3 y))) |
| 1× | batch-egg-rewrite |
| 214× | expm1-udef_binary64 |
| 213× | log1p-udef_binary64 |
| 194× | prod-diff_binary64 |
| 179× | fma-def_binary64 |
| 166× | log-pow_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 30 |
| 1 | 243 | 30 |
| 2 | 3173 | 30 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1/3 y) |
(*.f64 (-.f64 3 x) (/.f64 1/3 y)) |
(*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) (/.f64 1/3 y))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1/3 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/3 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/3 y)) (pow.f64 (cbrt.f64 (/.f64 1/3 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 y)) 2) (cbrt.f64 (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1/3 y)) (sqrt.f64 (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/3 (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/3 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/3 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/3 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1/3 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y 3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 1/3 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1/3 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1/3 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/3 y))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 (/.f64 1/3 y)) (*.f64 (neg.f64 x) (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/3 y) 3) (*.f64 (/.f64 1/3 y) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 3 x) (*.f64 y 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 1/3 (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 27 (pow.f64 x 3)) (*.f64 (*.f64 y 3) (fma.f64 x (+.f64 3 x) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 9 (*.f64 x x)) (*.f64 (*.f64 y 3) (+.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 (-.f64 3 x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 1/3 (-.f64 3 x))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 (-.f64 27 (pow.f64 x 3))) (*.f64 y (fma.f64 x (+.f64 3 x) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/3 (-.f64 27 (pow.f64 x 3))) (*.f64 (neg.f64 y) (fma.f64 x (+.f64 3 x) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 (-.f64 9 (*.f64 x x))) (*.f64 y (+.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/3 (-.f64 9 (*.f64 x x))) (*.f64 (neg.f64 y) (+.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 27 (pow.f64 x 3)) 1/3) (*.f64 (fma.f64 x (+.f64 3 x) 9) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 9 (*.f64 x x)) 1/3) (*.f64 (+.f64 3 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 27 (pow.f64 x 3)) 1) (*.f64 (fma.f64 x (+.f64 3 x) 9) (*.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 9 (*.f64 x x)) 1) (*.f64 (+.f64 3 x) (*.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 27 (pow.f64 x 3)) -1/3) (*.f64 (fma.f64 x (+.f64 3 x) 9) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 9 (*.f64 x x)) -1/3) (*.f64 (+.f64 3 x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/3 (-.f64 3 x)) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/3 (-.f64 3 x)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/3 (-.f64 3 x)) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/3 (-.f64 3 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 27 (pow.f64 x 3)) (/.f64 1/3 y)) (fma.f64 x (+.f64 3 x) 9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 9 (*.f64 x x)) (/.f64 1/3 y)) (+.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1/3 y) (-.f64 27 (pow.f64 x 3))) (fma.f64 x (+.f64 3 x) 9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1/3 y) (-.f64 9 (*.f64 x x))) (+.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 3 x) -1/3) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 3 x)) (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1/3 y) 3) (pow.f64 (-.f64 3 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 3 x) 3) (pow.f64 (/.f64 1/3 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/3 y) 3 (*.f64 (/.f64 1/3 y) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 (/.f64 1/3 y) (*.f64 (neg.f64 x) (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) (*.f64 (neg.f64 x) (*.f64 (/.f64 1/3 y) (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) (*.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) (*.f64 y 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 1/3 (-.f64 3 x)) (-.f64 1 (pow.f64 x 3))) (*.f64 y (fma.f64 x (+.f64 x 1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 1/3 (-.f64 3 x)) (-.f64 1 (*.f64 x x))) (*.f64 y (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) (*.f64 1/3 (-.f64 3 x))) (*.f64 (fma.f64 x (+.f64 x 1) 1) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 x x)) (*.f64 1/3 (-.f64 3 x))) (*.f64 (+.f64 x 1) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 1/3 (-.f64 3 x)) (-.f64 1 x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) (*.f64 (/.f64 1/3 y) (-.f64 3 x))) (fma.f64 x (+.f64 x 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 x x)) (*.f64 (/.f64 1/3 y) (-.f64 3 x))) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) (-.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 x 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) (-.f64 1 (*.f64 x x))) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 x) (*.f64 1/3 (-.f64 3 x))) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) 1/3) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) 1) (*.f64 y 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) -1/3) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 1 x)) (*.f64 (/.f64 1/3 y) (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) 3) (pow.f64 (-.f64 1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/3 (*.f64 (/.f64 1 y) (-.f64 3 x)) (*.f64 (neg.f64 x) (*.f64 (/.f64 1/3 y) (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/3 (*.f64 (/.f64 1 y) (-.f64 3 x)) (*.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/3 y) (-.f64 3 x) (*.f64 (neg.f64 x) (*.f64 (/.f64 1/3 y) (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/3 y) (-.f64 3 x) (*.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 3 x) (/.f64 1/3 y) (*.f64 (neg.f64 x) (*.f64 (/.f64 1/3 y) (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 3 x) (/.f64 1/3 y) (*.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) 1 (*.f64 (neg.f64 x) (*.f64 (/.f64 1/3 y) (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) 1 (*.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) (*.f64 (neg.f64 x) (*.f64 (/.f64 1/3 y) (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) (*.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x))) 2) (*.f64 (neg.f64 x) (*.f64 (/.f64 1/3 y) (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x))) (pow.f64 (cbrt.f64 (*.f64 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3 x)) (*.f64 (neg.f64 x) (*.f64 (/.f64 1/3 y) (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 y)) 2) (*.f64 (cbrt.f64 (/.f64 1/3 y)) (-.f64 3 x)) (*.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x))) (sqrt.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x))) (*.f64 (neg.f64 x) (*.f64 (/.f64 1/3 y) (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x))) (sqrt.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x))) (*.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 3 x)) (*.f64 (sqrt.f64 (-.f64 3 x)) (/.f64 1/3 y)) (*.f64 (neg.f64 x) (*.f64 (/.f64 1/3 y) (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 3 x)) (*.f64 (sqrt.f64 (-.f64 3 x)) (/.f64 1/3 y)) (*.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 1/3 y)) (*.f64 (sqrt.f64 (/.f64 1/3 y)) (-.f64 3 x)) (*.f64 (neg.f64 x) (*.f64 (/.f64 1/3 y) (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 1/3 y)) (*.f64 (sqrt.f64 (/.f64 1/3 y)) (-.f64 3 x)) (*.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 (-.f64 3 x)) (/.f64 1 y) (*.f64 (neg.f64 x) (*.f64 (/.f64 1/3 y) (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 (-.f64 3 x)) (/.f64 1 y) (*.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 3 x) 1) (/.f64 1/3 y) (*.f64 (neg.f64 x) (*.f64 (/.f64 1/3 y) (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 3 x) 1) (/.f64 1/3 y) (*.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 3 x) (pow.f64 (cbrt.f64 y) 2)) (/.f64 1/3 (cbrt.f64 y)) (*.f64 (neg.f64 x) (*.f64 (/.f64 1/3 y) (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 3 x) (pow.f64 (cbrt.f64 y) 2)) (/.f64 1/3 (cbrt.f64 y)) (*.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 3 x) (sqrt.f64 y)) (/.f64 1/3 (sqrt.f64 y)) (*.f64 (neg.f64 x) (*.f64 (/.f64 1/3 y) (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 3 x) (sqrt.f64 y)) (/.f64 1/3 (sqrt.f64 y)) (*.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1/3 y) (pow.f64 (cbrt.f64 (-.f64 3 x)) 2)) (cbrt.f64 (-.f64 3 x)) (*.f64 (neg.f64 x) (*.f64 (/.f64 1/3 y) (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1/3 y) (pow.f64 (cbrt.f64 (-.f64 3 x)) 2)) (cbrt.f64 (-.f64 3 x)) (*.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1/3 y) (sqrt.f64 (-.f64 3 x))) (sqrt.f64 (-.f64 3 x)) (*.f64 (neg.f64 x) (*.f64 (/.f64 1/3 y) (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1/3 y) (sqrt.f64 (-.f64 3 x))) (sqrt.f64 (-.f64 3 x)) (*.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 3 x) (pow.f64 (cbrt.f64 (/.f64 1/3 y)) 2)) (cbrt.f64 (/.f64 1/3 y)) (*.f64 (neg.f64 x) (*.f64 (/.f64 1/3 y) (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 3 x) (pow.f64 (cbrt.f64 (/.f64 1/3 y)) 2)) (cbrt.f64 (/.f64 1/3 y)) (*.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 3 x) (sqrt.f64 (/.f64 1/3 y))) (sqrt.f64 (/.f64 1/3 y)) (*.f64 (neg.f64 x) (*.f64 (/.f64 1/3 y) (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 3 x) (sqrt.f64 (/.f64 1/3 y))) (sqrt.f64 (/.f64 1/3 y)) (*.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x))))))))) |
| 1× | egg-herbie |
| 795× | fma-def_binary64 |
| 415× | fma-neg_binary64 |
| 351× | distribute-rgt-in_binary64 |
| 314× | distribute-lft-in_binary64 |
| 193× | associate-/l*_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 650 |
| 1 | 64 | 648 |
| 2 | 139 | 636 |
| 3 | 363 | 549 |
| 4 | 1274 | 529 |
| 5 | 4952 | 529 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 y) |
(+.f64 (*.f64 -1/3 (/.f64 x y)) (/.f64 1 y)) |
(+.f64 (*.f64 -1/3 (/.f64 x y)) (/.f64 1 y)) |
(+.f64 (*.f64 -1/3 (/.f64 x y)) (/.f64 1 y)) |
(*.f64 -1/3 (/.f64 x y)) |
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y))) |
(*.f64 -1/3 (/.f64 x y)) |
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y))) |
(*.f64 1/3 (/.f64 (-.f64 3 x) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) y)) |
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y)) |
| Outputs |
|---|
(/.f64 1 y) |
(+.f64 (*.f64 -1/3 (/.f64 x y)) (/.f64 1 y)) |
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y)) |
(/.f64 (fma.f64 -1/3 x 1) y) |
(+.f64 (*.f64 -1/3 (/.f64 x y)) (/.f64 1 y)) |
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y)) |
(/.f64 (fma.f64 -1/3 x 1) y) |
(+.f64 (*.f64 -1/3 (/.f64 x y)) (/.f64 1 y)) |
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y)) |
(/.f64 (fma.f64 -1/3 x 1) y) |
(*.f64 -1/3 (/.f64 x y)) |
(*.f64 (/.f64 -1/3 y) x) |
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y))) |
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y)) |
(/.f64 (fma.f64 -1/3 x 1) y) |
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y))) |
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y)) |
(/.f64 (fma.f64 -1/3 x 1) y) |
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y))) |
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y)) |
(/.f64 (fma.f64 -1/3 x 1) y) |
(*.f64 -1/3 (/.f64 x y)) |
(*.f64 (/.f64 -1/3 y) x) |
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y))) |
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y)) |
(/.f64 (fma.f64 -1/3 x 1) y) |
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y))) |
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y)) |
(/.f64 (fma.f64 -1/3 x 1) y) |
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y))) |
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y)) |
(/.f64 (fma.f64 -1/3 x 1) y) |
(*.f64 1/3 (/.f64 (-.f64 3 x) y)) |
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y)) |
(/.f64 (fma.f64 -1/3 x 1) y) |
(*.f64 1/3 (/.f64 (-.f64 3 x) y)) |
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y)) |
(/.f64 (fma.f64 -1/3 x 1) y) |
(*.f64 1/3 (/.f64 (-.f64 3 x) y)) |
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y)) |
(/.f64 (fma.f64 -1/3 x 1) y) |
(*.f64 1/3 (/.f64 (-.f64 3 x) y)) |
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y)) |
(/.f64 (fma.f64 -1/3 x 1) y) |
(*.f64 1/3 (/.f64 (-.f64 3 x) y)) |
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y)) |
(/.f64 (fma.f64 -1/3 x 1) y) |
(*.f64 1/3 (/.f64 (-.f64 3 x) y)) |
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y)) |
(/.f64 (fma.f64 -1/3 x 1) y) |
(*.f64 1/3 (/.f64 (-.f64 3 x) y)) |
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y)) |
(/.f64 (fma.f64 -1/3 x 1) y) |
(*.f64 1/3 (/.f64 (-.f64 3 x) y)) |
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y)) |
(/.f64 (fma.f64 -1/3 x 1) y) |
(*.f64 1/3 (/.f64 (-.f64 3 x) y)) |
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y)) |
(/.f64 (fma.f64 -1/3 x 1) y) |
(*.f64 1/3 (/.f64 (-.f64 3 x) y)) |
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y)) |
(/.f64 (fma.f64 -1/3 x 1) y) |
(*.f64 1/3 (/.f64 (-.f64 3 x) y)) |
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y)) |
(/.f64 (fma.f64 -1/3 x 1) y) |
(*.f64 1/3 (/.f64 (-.f64 3 x) y)) |
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y)) |
(/.f64 (fma.f64 -1/3 x 1) y) |
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) -4/3)) |
(fma.f64 (/.f64 x y) -4/3 (/.f64 1 y)) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 (/.f64 x y) -4/3))) |
(+.f64 (*.f64 1/3 (/.f64 x (/.f64 y x))) (fma.f64 (/.f64 x y) -4/3 (/.f64 1 y))) |
(fma.f64 (/.f64 x y) -4/3 (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y))) |
(fma.f64 (/.f64 x y) -4/3 (fma.f64 1/3 (*.f64 x (/.f64 x y)) (/.f64 1 y))) |
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 (/.f64 x y) -4/3))) |
(+.f64 (*.f64 1/3 (/.f64 x (/.f64 y x))) (fma.f64 (/.f64 x y) -4/3 (/.f64 1 y))) |
(fma.f64 (/.f64 x y) -4/3 (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y))) |
(fma.f64 (/.f64 x y) -4/3 (fma.f64 1/3 (*.f64 x (/.f64 x y)) (/.f64 1 y))) |
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 (/.f64 1/3 y) (*.f64 x x)) |
(*.f64 (/.f64 x y) (*.f64 x 1/3)) |
(/.f64 (*.f64 x (*.f64 x 1/3)) y) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 (/.f64 x y) -4/3)) |
(fma.f64 (/.f64 x y) -4/3 (*.f64 1/3 (/.f64 x (/.f64 y x)))) |
(fma.f64 (/.f64 x y) -4/3 (*.f64 (/.f64 1/3 y) (*.f64 x x))) |
(fma.f64 (/.f64 x y) -4/3 (*.f64 (/.f64 x y) (*.f64 x 1/3))) |
(*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 (/.f64 x y) -4/3))) |
(+.f64 (*.f64 1/3 (/.f64 x (/.f64 y x))) (fma.f64 (/.f64 x y) -4/3 (/.f64 1 y))) |
(fma.f64 (/.f64 x y) -4/3 (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y))) |
(fma.f64 (/.f64 x y) -4/3 (fma.f64 1/3 (*.f64 x (/.f64 x y)) (/.f64 1 y))) |
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 (/.f64 x y) -4/3))) |
(+.f64 (*.f64 1/3 (/.f64 x (/.f64 y x))) (fma.f64 (/.f64 x y) -4/3 (/.f64 1 y))) |
(fma.f64 (/.f64 x y) -4/3 (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y))) |
(fma.f64 (/.f64 x y) -4/3 (fma.f64 1/3 (*.f64 x (/.f64 x y)) (/.f64 1 y))) |
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 (/.f64 1/3 y) (*.f64 x x)) |
(*.f64 (/.f64 x y) (*.f64 x 1/3)) |
(/.f64 (*.f64 x (*.f64 x 1/3)) y) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 (/.f64 x y) -4/3)) |
(fma.f64 (/.f64 x y) -4/3 (*.f64 1/3 (/.f64 x (/.f64 y x)))) |
(fma.f64 (/.f64 x y) -4/3 (*.f64 (/.f64 1/3 y) (*.f64 x x))) |
(fma.f64 (/.f64 x y) -4/3 (*.f64 (/.f64 x y) (*.f64 x 1/3))) |
(*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 (/.f64 x y) -4/3))) |
(+.f64 (*.f64 1/3 (/.f64 x (/.f64 y x))) (fma.f64 (/.f64 x y) -4/3 (/.f64 1 y))) |
(fma.f64 (/.f64 x y) -4/3 (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y))) |
(fma.f64 (/.f64 x y) -4/3 (fma.f64 1/3 (*.f64 x (/.f64 x y)) (/.f64 1 y))) |
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 (/.f64 x y) -4/3))) |
(+.f64 (*.f64 1/3 (/.f64 x (/.f64 y x))) (fma.f64 (/.f64 x y) -4/3 (/.f64 1 y))) |
(fma.f64 (/.f64 x y) -4/3 (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y))) |
(fma.f64 (/.f64 x y) -4/3 (fma.f64 1/3 (*.f64 x (/.f64 x y)) (/.f64 1 y))) |
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y)) |
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x)))) |
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))) |
(*.f64 (/.f64 (-.f64 3 x) y) (fma.f64 -1/3 x 1/3)) |
(*.f64 (-.f64 3 x) (/.f64 (fma.f64 -1/3 x 1/3) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y)) |
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x)))) |
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))) |
(*.f64 (/.f64 (-.f64 3 x) y) (fma.f64 -1/3 x 1/3)) |
(*.f64 (-.f64 3 x) (/.f64 (fma.f64 -1/3 x 1/3) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y)) |
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x)))) |
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))) |
(*.f64 (/.f64 (-.f64 3 x) y) (fma.f64 -1/3 x 1/3)) |
(*.f64 (-.f64 3 x) (/.f64 (fma.f64 -1/3 x 1/3) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y)) |
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x)))) |
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))) |
(*.f64 (/.f64 (-.f64 3 x) y) (fma.f64 -1/3 x 1/3)) |
(*.f64 (-.f64 3 x) (/.f64 (fma.f64 -1/3 x 1/3) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y)) |
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x)))) |
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))) |
(*.f64 (/.f64 (-.f64 3 x) y) (fma.f64 -1/3 x 1/3)) |
(*.f64 (-.f64 3 x) (/.f64 (fma.f64 -1/3 x 1/3) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y)) |
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x)))) |
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))) |
(*.f64 (/.f64 (-.f64 3 x) y) (fma.f64 -1/3 x 1/3)) |
(*.f64 (-.f64 3 x) (/.f64 (fma.f64 -1/3 x 1/3) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y)) |
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x)))) |
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))) |
(*.f64 (/.f64 (-.f64 3 x) y) (fma.f64 -1/3 x 1/3)) |
(*.f64 (-.f64 3 x) (/.f64 (fma.f64 -1/3 x 1/3) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y)) |
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x)))) |
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))) |
(*.f64 (/.f64 (-.f64 3 x) y) (fma.f64 -1/3 x 1/3)) |
(*.f64 (-.f64 3 x) (/.f64 (fma.f64 -1/3 x 1/3) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y)) |
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x)))) |
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))) |
(*.f64 (/.f64 (-.f64 3 x) y) (fma.f64 -1/3 x 1/3)) |
(*.f64 (-.f64 3 x) (/.f64 (fma.f64 -1/3 x 1/3) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y)) |
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x)))) |
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))) |
(*.f64 (/.f64 (-.f64 3 x) y) (fma.f64 -1/3 x 1/3)) |
(*.f64 (-.f64 3 x) (/.f64 (fma.f64 -1/3 x 1/3) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y)) |
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x)))) |
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))) |
(*.f64 (/.f64 (-.f64 3 x) y) (fma.f64 -1/3 x 1/3)) |
(*.f64 (-.f64 3 x) (/.f64 (fma.f64 -1/3 x 1/3) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y)) |
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x)))) |
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))) |
(*.f64 (/.f64 (-.f64 3 x) y) (fma.f64 -1/3 x 1/3)) |
(*.f64 (-.f64 3 x) (/.f64 (fma.f64 -1/3 x 1/3) y)) |
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 150 | 4 | 154 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 151 | 5 | 156 |
| Status | Error | Program |
|---|---|---|
| 8.0b | (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) (*.f64 y 3)) | |
| ✓ | 0.4b | (*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) (/.f64 1/3 y))) |
| 7.8b | (/.f64 (*.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) 1/3) y) | |
| ▶ | 0.1b | (+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))) |
| 0.3b | (*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) (*.f64 y 3))) |
Compiled 2676 to 1926 computations (28% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))) |
| ✓ | 0.0b | (+.f64 -4/3 (*.f64 x 1/3)) |
| ✓ | 0.3b | (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))) |
| ✓ | 0.3b | (*.f64 x 1/3) |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))) |
| 1.0ms | y | @ | 0 | (+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))) |
| 1.0ms | y | @ | 0 | (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))) |
| 1.0ms | x | @ | inf | (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))) |
| 1.0ms | x | @ | inf | (+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))) |
| 1× | batch-egg-rewrite |
| 447× | fma-def_binary64 |
| 236× | expm1-udef_binary64 |
| 236× | log1p-udef_binary64 |
| 217× | fma-neg_binary64 |
| 138× | add-sqr-sqrt_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 43 |
| 1 | 272 | 35 |
| 2 | 3923 | 35 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x 1/3) |
(*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))) |
(+.f64 -4/3 (*.f64 x 1/3)) |
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 1/27) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) 1/27))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x 1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 1/3))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x y) -4/3) (*.f64 (*.f64 x 1/3) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 1/3) (/.f64 x y)) (*.f64 (/.f64 x y) -4/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 x y) -4/3) 1) (*.f64 (*.f64 (*.f64 x 1/3) (/.f64 x y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 y (fma.f64 x 1/3 -4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x 1/3 -4/3) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 x (fma.f64 x 1/3 -4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 3) 1/27 -64/27) (*.f64 (/.f64 y x) (fma.f64 (*.f64 x 1/3) (fma.f64 x 1/3 4/3) 16/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 16/9 (*.f64 (*.f64 x x) 1/9)) (*.f64 (/.f64 y x) (+.f64 -4/3 (*.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (fma.f64 x 1/3 -4/3)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x (fma.f64 x 1/3 -4/3))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (fma.f64 (pow.f64 x 3) 1/27 -64/27)) (*.f64 y (fma.f64 (*.f64 x 1/3) (fma.f64 x 1/3 4/3) 16/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (fma.f64 (pow.f64 x 3) 1/27 -64/27)) (*.f64 (neg.f64 y) (fma.f64 (*.f64 x 1/3) (fma.f64 x 1/3 4/3) 16/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 16/9 (*.f64 (*.f64 x x) 1/9))) (*.f64 y (+.f64 -4/3 (*.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (-.f64 16/9 (*.f64 (*.f64 x x) 1/9))) (*.f64 (neg.f64 y) (+.f64 -4/3 (*.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (pow.f64 x 3) 1/27 -64/27) x) (*.f64 (fma.f64 (*.f64 x 1/3) (fma.f64 x 1/3 4/3) 16/9) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 16/9 (*.f64 (*.f64 x x) 1/9)) x) (*.f64 (+.f64 -4/3 (*.f64 -1/3 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (pow.f64 x 3) 1/27 -64/27) 1) (*.f64 (fma.f64 (*.f64 x 1/3) (fma.f64 x 1/3 4/3) 16/9) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 16/9 (*.f64 (*.f64 x x) 1/9)) 1) (*.f64 (+.f64 -4/3 (*.f64 -1/3 x)) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (pow.f64 x 3) 1/27 -64/27) (neg.f64 x)) (*.f64 (fma.f64 (*.f64 x 1/3) (fma.f64 x 1/3 4/3) 16/9) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 16/9 (*.f64 (*.f64 x x) 1/9)) (neg.f64 x)) (*.f64 (+.f64 -4/3 (*.f64 -1/3 x)) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x y) -4/3) 3) (pow.f64 (*.f64 (*.f64 x 1/3) (/.f64 x y)) 3)) (fma.f64 (*.f64 (/.f64 x y) -4/3) (*.f64 (/.f64 x y) -4/3) (-.f64 (*.f64 (*.f64 (*.f64 x 1/3) (/.f64 x y)) 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| 1× | egg-herbie |
| 412× | fma-def_binary64 |
| 313× | fma-neg_binary64 |
| 223× | cancel-sign-sub-inv_binary64 |
| 217× | associate-/l*_binary64 |
| 217× | unsub-neg_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 809 |
| 1 | 70 | 771 |
| 2 | 151 | 771 |
| 3 | 400 | 633 |
| 4 | 1325 | 630 |
| 5 | 4170 | 630 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 -4/3 (/.f64 x y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
-4/3 |
(-.f64 (*.f64 1/3 x) 4/3) |
(-.f64 (*.f64 1/3 x) 4/3) |
(-.f64 (*.f64 1/3 x) 4/3) |
(*.f64 1/3 x) |
(-.f64 (*.f64 1/3 x) 4/3) |
(-.f64 (*.f64 1/3 x) 4/3) |
(-.f64 (*.f64 1/3 x) 4/3) |
(*.f64 1/3 x) |
(-.f64 (*.f64 1/3 x) 4/3) |
(-.f64 (*.f64 1/3 x) 4/3) |
(-.f64 (*.f64 1/3 x) 4/3) |
(/.f64 (+.f64 1 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x)) y) |
(/.f64 (+.f64 1 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x)) y) |
(/.f64 (+.f64 1 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x)) y) |
(/.f64 (+.f64 1 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x)) y) |
(/.f64 (+.f64 1 (*.f64 x (-.f64 (*.f64 1/3 x) 4/3))) y) |
(/.f64 (+.f64 1 (*.f64 x (-.f64 (*.f64 1/3 x) 4/3))) y) |
(/.f64 (+.f64 1 (*.f64 x (-.f64 (*.f64 1/3 x) 4/3))) y) |
(/.f64 (+.f64 1 (*.f64 x (-.f64 (*.f64 1/3 x) 4/3))) y) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (*.f64 x (-.f64 (*.f64 1/3 x) 4/3))) 1) y)) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (*.f64 x (-.f64 (*.f64 1/3 x) 4/3))) 1) y)) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (*.f64 x (-.f64 (*.f64 1/3 x) 4/3))) 1) y)) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (*.f64 x (-.f64 (*.f64 1/3 x) 4/3))) 1) y)) |
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
| Outputs |
|---|
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 (/.f64 -4/3 y) x) |
(*.f64 x (/.f64 -4/3 y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (*.f64 (/.f64 -4/3 y) x)) |
(*.f64 x (/.f64 (fma.f64 1/3 x -4/3) y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (*.f64 (/.f64 -4/3 y) x)) |
(*.f64 x (/.f64 (fma.f64 1/3 x -4/3) y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (*.f64 (/.f64 -4/3 y) x)) |
(*.f64 x (/.f64 (fma.f64 1/3 x -4/3) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(/.f64 1/3 (/.f64 y (*.f64 x x))) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 (*.f64 1/3 x) (/.f64 x y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (*.f64 (/.f64 -4/3 y) x)) |
(*.f64 x (/.f64 (fma.f64 1/3 x -4/3) y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (*.f64 (/.f64 -4/3 y) x)) |
(*.f64 x (/.f64 (fma.f64 1/3 x -4/3) y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (*.f64 (/.f64 -4/3 y) x)) |
(*.f64 x (/.f64 (fma.f64 1/3 x -4/3) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(/.f64 1/3 (/.f64 y (*.f64 x x))) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 (*.f64 1/3 x) (/.f64 x y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (*.f64 (/.f64 -4/3 y) x)) |
(*.f64 x (/.f64 (fma.f64 1/3 x -4/3) y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (*.f64 (/.f64 -4/3 y) x)) |
(*.f64 x (/.f64 (fma.f64 1/3 x -4/3) y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (*.f64 (/.f64 -4/3 y) x)) |
(*.f64 x (/.f64 (fma.f64 1/3 x -4/3) y)) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (*.f64 (/.f64 -4/3 y) x)) |
(*.f64 x (/.f64 (fma.f64 1/3 x -4/3) y)) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (*.f64 (/.f64 -4/3 y) x)) |
(*.f64 x (/.f64 (fma.f64 1/3 x -4/3) y)) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (*.f64 (/.f64 -4/3 y) x)) |
(*.f64 x (/.f64 (fma.f64 1/3 x -4/3) y)) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (*.f64 (/.f64 -4/3 y) x)) |
(*.f64 x (/.f64 (fma.f64 1/3 x -4/3) y)) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (*.f64 (/.f64 -4/3 y) x)) |
(*.f64 x (/.f64 (fma.f64 1/3 x -4/3) y)) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (*.f64 (/.f64 -4/3 y) x)) |
(*.f64 x (/.f64 (fma.f64 1/3 x -4/3) y)) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (*.f64 (/.f64 -4/3 y) x)) |
(*.f64 x (/.f64 (fma.f64 1/3 x -4/3) y)) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (*.f64 (/.f64 -4/3 y) x)) |
(*.f64 x (/.f64 (fma.f64 1/3 x -4/3) y)) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (*.f64 (/.f64 -4/3 y) x)) |
(*.f64 x (/.f64 (fma.f64 1/3 x -4/3) y)) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (*.f64 (/.f64 -4/3 y) x)) |
(*.f64 x (/.f64 (fma.f64 1/3 x -4/3) y)) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (*.f64 (/.f64 -4/3 y) x)) |
(*.f64 x (/.f64 (fma.f64 1/3 x -4/3) y)) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (*.f64 (/.f64 -4/3 y) x)) |
(*.f64 x (/.f64 (fma.f64 1/3 x -4/3) y)) |
-4/3 |
(-.f64 (*.f64 1/3 x) 4/3) |
(fma.f64 1/3 x -4/3) |
(-.f64 (*.f64 1/3 x) 4/3) |
(fma.f64 1/3 x -4/3) |
(-.f64 (*.f64 1/3 x) 4/3) |
(fma.f64 1/3 x -4/3) |
(*.f64 1/3 x) |
(-.f64 (*.f64 1/3 x) 4/3) |
(fma.f64 1/3 x -4/3) |
(-.f64 (*.f64 1/3 x) 4/3) |
(fma.f64 1/3 x -4/3) |
(-.f64 (*.f64 1/3 x) 4/3) |
(fma.f64 1/3 x -4/3) |
(*.f64 1/3 x) |
(-.f64 (*.f64 1/3 x) 4/3) |
(fma.f64 1/3 x -4/3) |
(-.f64 (*.f64 1/3 x) 4/3) |
(fma.f64 1/3 x -4/3) |
(-.f64 (*.f64 1/3 x) 4/3) |
(fma.f64 1/3 x -4/3) |
(/.f64 (+.f64 1 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x)) y) |
(/.f64 (+.f64 1 (*.f64 x (fma.f64 1/3 x -4/3))) y) |
(/.f64 (fma.f64 x (fma.f64 1/3 x -4/3) 1) y) |
(/.f64 (+.f64 1 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x)) y) |
(/.f64 (+.f64 1 (*.f64 x (fma.f64 1/3 x -4/3))) y) |
(/.f64 (fma.f64 x (fma.f64 1/3 x -4/3) 1) y) |
(/.f64 (+.f64 1 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x)) y) |
(/.f64 (+.f64 1 (*.f64 x (fma.f64 1/3 x -4/3))) y) |
(/.f64 (fma.f64 x (fma.f64 1/3 x -4/3) 1) y) |
(/.f64 (+.f64 1 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x)) y) |
(/.f64 (+.f64 1 (*.f64 x (fma.f64 1/3 x -4/3))) y) |
(/.f64 (fma.f64 x (fma.f64 1/3 x -4/3) 1) y) |
(/.f64 (+.f64 1 (*.f64 x (-.f64 (*.f64 1/3 x) 4/3))) y) |
(/.f64 (+.f64 1 (*.f64 x (fma.f64 1/3 x -4/3))) y) |
(/.f64 (fma.f64 x (fma.f64 1/3 x -4/3) 1) y) |
(/.f64 (+.f64 1 (*.f64 x (-.f64 (*.f64 1/3 x) 4/3))) y) |
(/.f64 (+.f64 1 (*.f64 x (fma.f64 1/3 x -4/3))) y) |
(/.f64 (fma.f64 x (fma.f64 1/3 x -4/3) 1) y) |
(/.f64 (+.f64 1 (*.f64 x (-.f64 (*.f64 1/3 x) 4/3))) y) |
(/.f64 (+.f64 1 (*.f64 x (fma.f64 1/3 x -4/3))) y) |
(/.f64 (fma.f64 x (fma.f64 1/3 x -4/3) 1) y) |
(/.f64 (+.f64 1 (*.f64 x (-.f64 (*.f64 1/3 x) 4/3))) y) |
(/.f64 (+.f64 1 (*.f64 x (fma.f64 1/3 x -4/3))) y) |
(/.f64 (fma.f64 x (fma.f64 1/3 x -4/3) 1) y) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (*.f64 x (-.f64 (*.f64 1/3 x) 4/3))) 1) y)) |
(/.f64 (+.f64 1 (*.f64 x (fma.f64 1/3 x -4/3))) y) |
(/.f64 (fma.f64 x (fma.f64 1/3 x -4/3) 1) y) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (*.f64 x (-.f64 (*.f64 1/3 x) 4/3))) 1) y)) |
(/.f64 (+.f64 1 (*.f64 x (fma.f64 1/3 x -4/3))) y) |
(/.f64 (fma.f64 x (fma.f64 1/3 x -4/3) 1) y) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (*.f64 x (-.f64 (*.f64 1/3 x) 4/3))) 1) y)) |
(/.f64 (+.f64 1 (*.f64 x (fma.f64 1/3 x -4/3))) y) |
(/.f64 (fma.f64 x (fma.f64 1/3 x -4/3) 1) y) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (*.f64 x (-.f64 (*.f64 1/3 x) 4/3))) 1) y)) |
(/.f64 (+.f64 1 (*.f64 x (fma.f64 1/3 x -4/3))) y) |
(/.f64 (fma.f64 x (fma.f64 1/3 x -4/3) 1) y) |
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (*.f64 -4/3 (/.f64 x y)) (/.f64 1 y)) |
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)) |
(/.f64 (fma.f64 x -4/3 1) y) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(/.f64 (+.f64 1 (*.f64 x (fma.f64 1/3 x -4/3))) y) |
(/.f64 (fma.f64 x (fma.f64 1/3 x -4/3) 1) y) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(/.f64 (+.f64 1 (*.f64 x (fma.f64 1/3 x -4/3))) y) |
(/.f64 (fma.f64 x (fma.f64 1/3 x -4/3) 1) y) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(/.f64 1/3 (/.f64 y (*.f64 x x))) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 (*.f64 1/3 x) (/.f64 x y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (*.f64 (/.f64 -4/3 y) x)) |
(*.f64 x (/.f64 (fma.f64 1/3 x -4/3) y)) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(/.f64 (+.f64 1 (*.f64 x (fma.f64 1/3 x -4/3))) y) |
(/.f64 (fma.f64 x (fma.f64 1/3 x -4/3) 1) y) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(/.f64 (+.f64 1 (*.f64 x (fma.f64 1/3 x -4/3))) y) |
(/.f64 (fma.f64 x (fma.f64 1/3 x -4/3) 1) y) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(/.f64 1/3 (/.f64 y (*.f64 x x))) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 (*.f64 1/3 x) (/.f64 x y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (*.f64 (/.f64 -4/3 y) x)) |
(*.f64 x (/.f64 (fma.f64 1/3 x -4/3) y)) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(/.f64 (+.f64 1 (*.f64 x (fma.f64 1/3 x -4/3))) y) |
(/.f64 (fma.f64 x (fma.f64 1/3 x -4/3) 1) y) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(/.f64 (+.f64 1 (*.f64 x (fma.f64 1/3 x -4/3))) y) |
(/.f64 (fma.f64 x (fma.f64 1/3 x -4/3) 1) y) |
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 215 | 5 | 220 |
| Fresh | 3 | 0 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 0 | 1 |
| Total | 219 | 6 | 225 |
| Status | Error | Program |
|---|---|---|
| 7.8b | (+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (/.f64 (-.f64 16/9 (*.f64 (*.f64 x x) 1/9)) (+.f64 -4/3 (*.f64 -1/3 x))))) | |
| ✓ | 0.1b | (+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))) |
| 0.1b | (+.f64 (/.f64 1 y) (fma.f64 (*.f64 (/.f64 x y) x) 1/3 (*.f64 (/.f64 x y) -4/3))) | |
| 7.8b | (+.f64 (/.f64 1 y) (/.f64 1 (/.f64 y (*.f64 x (fma.f64 x 1/3 -4/3))))) | |
| 0.4b | (+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2) (cbrt.f64 (*.f64 x 1/3)) -4/3))) | |
| ▶ | 0.1b | (+.f64 (/.f64 1 y) (*.f64 x (/.f64 (fma.f64 1/3 x -4/3) y))) |
Compiled 4306 to 2662 computations (38.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (/.f64 1 y) (*.f64 x (/.f64 (fma.f64 1/3 x -4/3) y))) |
| ✓ | 0.1b | (fma.f64 1/3 x -4/3) |
| ✓ | 0.2b | (*.f64 x (/.f64 (fma.f64 1/3 x -4/3) y)) |
| ✓ | 0.3b | (/.f64 (fma.f64 1/3 x -4/3) y) |
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | (*.f64 x (/.f64 (fma.f64 1/3 x -4/3) y)) |
| 1.0ms | x | @ | -inf | (/.f64 (fma.f64 1/3 x -4/3) y) |
| 1.0ms | y | @ | 0 | (*.f64 x (/.f64 (fma.f64 1/3 x -4/3) y)) |
| 1.0ms | x | @ | -inf | (*.f64 x (/.f64 (fma.f64 1/3 x -4/3) y)) |
| 1.0ms | y | @ | inf | (/.f64 (fma.f64 1/3 x -4/3) y) |
| 1× | batch-egg-rewrite |
| 992× | prod-diff_binary64 |
| 118× | add-sqr-sqrt_binary64 |
| 111× | *-un-lft-identity_binary64 |
| 111× | pow1_binary64 |
| 110× | add-cbrt-cube_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 41 |
| 1 | 237 | 39 |
| 2 | 3139 | 39 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (fma.f64 1/3 x -4/3) y) |
(*.f64 x (/.f64 (fma.f64 1/3 x -4/3) y)) |
(fma.f64 1/3 x -4/3) |
(+.f64 (/.f64 1 y) (*.f64 x (/.f64 (fma.f64 1/3 x -4/3) y))) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (/.f64 (fma.f64 1/3 x -4/3) y) (/.f64 1 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 y -2) (/.f64 (-.f64 1 (*.f64 x (fma.f64 1/3 x -4/3))) y)) (/.f64 (pow.f64 (*.f64 x (/.f64 (fma.f64 1/3 x -4/3) y)) 2) (/.f64 (-.f64 1 (*.f64 x (fma.f64 1/3 x -4/3))) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (/.f64 (fma.f64 1/3 x -4/3) y) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (/.f64 (fma.f64 1/3 x -4/3) y) (/.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (/.f64 (fma.f64 1/3 x -4/3) y) (/.f64 1 y))) (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 (fma.f64 1/3 x -4/3) y) (/.f64 1 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 (fma.f64 1/3 x -4/3) y) (/.f64 1 y))) 2) (cbrt.f64 (fma.f64 x (/.f64 (fma.f64 1/3 x -4/3) y) (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> 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(/.f64 (fma.f64 1/3 x -4/3) y) (/.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (/.f64 (fma.f64 1/3 x -4/3) y) (/.f64 1 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (/.f64 (fma.f64 1/3 x -4/3) y) (/.f64 1 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (/.f64 (fma.f64 1/3 x -4/3) y) (/.f64 1 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (/.f64 (fma.f64 1/3 x -4/3) y) (/.f64 1 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (/.f64 (fma.f64 1/3 x -4/3) y) (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (/.f64 (fma.f64 1/3 x -4/3) y) (/.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (/.f64 (fma.f64 1/3 x -4/3) y) (/.f64 1 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 (fma.f64 1/3 x -4/3) y) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (fma.f64 1/3 x -4/3) y) x (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (/.f64 (fma.f64 1/3 x -4/3) y)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 y) (*.f64 x (/.f64 (fma.f64 1/3 x -4/3) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 (fma.f64 1/3 x -4/3) y))) 2) (cbrt.f64 (*.f64 x (/.f64 (fma.f64 1/3 x -4/3) y))) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 y -2)) (cbrt.f64 (/.f64 1 y)) (*.f64 x (/.f64 (fma.f64 1/3 x -4/3) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (/.f64 (fma.f64 1/3 x -4/3) y))) (sqrt.f64 (*.f64 x (/.f64 (fma.f64 1/3 x -4/3) y))) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y -1/2) (pow.f64 y -1/2) (*.f64 x (/.f64 (fma.f64 1/3 x -4/3) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (/.f64 (fma.f64 1/3 x -4/3) y) (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (/.f64 (fma.f64 1/3 x -4/3) y) (/.f64 1 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (/.f64 (fma.f64 1/3 x -4/3) y) (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (/.f64 (fma.f64 1/3 x -4/3) y) (/.f64 1 y)))))))) |
| 1× | egg-herbie |
| 451× | fma-def_binary64 |
| 290× | fma-neg_binary64 |
| 226× | cancel-sign-sub-inv_binary64 |
| 216× | associate-/l*_binary64 |
| 202× | unsub-neg_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 947 |
| 1 | 84 | 909 |
| 2 | 179 | 909 |
| 3 | 439 | 771 |
| 4 | 1387 | 768 |
| 5 | 4324 | 768 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -4/3 y) |
(-.f64 (*.f64 1/3 (/.f64 x y)) (*.f64 4/3 (/.f64 1 y))) |
(-.f64 (*.f64 1/3 (/.f64 x y)) (*.f64 4/3 (/.f64 1 y))) |
(-.f64 (*.f64 1/3 (/.f64 x y)) (*.f64 4/3 (/.f64 1 y))) |
(*.f64 1/3 (/.f64 x y)) |
(-.f64 (*.f64 1/3 (/.f64 x y)) (*.f64 4/3 (/.f64 1 y))) |
(-.f64 (*.f64 1/3 (/.f64 x y)) (*.f64 4/3 (/.f64 1 y))) |
(-.f64 (*.f64 1/3 (/.f64 x y)) (*.f64 4/3 (/.f64 1 y))) |
(*.f64 1/3 (/.f64 x y)) |
(-.f64 (*.f64 1/3 (/.f64 x y)) (*.f64 4/3 (/.f64 1 y))) |
(-.f64 (*.f64 1/3 (/.f64 x y)) (*.f64 4/3 (/.f64 1 y))) |
(-.f64 (*.f64 1/3 (/.f64 x y)) (*.f64 4/3 (/.f64 1 y))) |
(/.f64 (-.f64 (*.f64 1/3 x) 4/3) y) |
(/.f64 (-.f64 (*.f64 1/3 x) 4/3) y) |
(/.f64 (-.f64 (*.f64 1/3 x) 4/3) y) |
(/.f64 (-.f64 (*.f64 1/3 x) 4/3) y) |
(/.f64 (-.f64 (*.f64 1/3 x) 4/3) y) |
(/.f64 (-.f64 (*.f64 1/3 x) 4/3) y) |
(/.f64 (-.f64 (*.f64 1/3 x) 4/3) y) |
(/.f64 (-.f64 (*.f64 1/3 x) 4/3) y) |
(/.f64 (-.f64 (*.f64 1/3 x) 4/3) y) |
(/.f64 (-.f64 (*.f64 1/3 x) 4/3) y) |
(/.f64 (-.f64 (*.f64 1/3 x) 4/3) y) |
(/.f64 (-.f64 (*.f64 1/3 x) 4/3) y) |
(*.f64 -4/3 (/.f64 x y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
-4/3 |
(-.f64 (*.f64 1/3 x) 4/3) |
(-.f64 (*.f64 1/3 x) 4/3) |
(-.f64 (*.f64 1/3 x) 4/3) |
(*.f64 1/3 x) |
(-.f64 (*.f64 1/3 x) 4/3) |
(-.f64 (*.f64 1/3 x) 4/3) |
(-.f64 (*.f64 1/3 x) 4/3) |
(*.f64 1/3 x) |
(-.f64 (*.f64 1/3 x) 4/3) |
(-.f64 (*.f64 1/3 x) 4/3) |
(-.f64 (*.f64 1/3 x) 4/3) |
(/.f64 (+.f64 1 (*.f64 x (-.f64 (*.f64 1/3 x) 4/3))) y) |
(/.f64 (+.f64 1 (*.f64 x (-.f64 (*.f64 1/3 x) 4/3))) y) |
(/.f64 (+.f64 1 (*.f64 x (-.f64 (*.f64 1/3 x) 4/3))) y) |
(/.f64 (+.f64 1 (*.f64 x (-.f64 (*.f64 1/3 x) 4/3))) y) |
(/.f64 (+.f64 1 (*.f64 x (-.f64 (*.f64 1/3 x) 4/3))) y) |
(/.f64 (+.f64 1 (*.f64 x (-.f64 (*.f64 1/3 x) 4/3))) y) |
(/.f64 (+.f64 1 (*.f64 x (-.f64 (*.f64 1/3 x) 4/3))) y) |
(/.f64 (+.f64 1 (*.f64 x (-.f64 (*.f64 1/3 x) 4/3))) y) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (*.f64 x (-.f64 (*.f64 1/3 x) 4/3))) 1) y)) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (*.f64 x (-.f64 (*.f64 1/3 x) 4/3))) 1) y)) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (*.f64 x (-.f64 (*.f64 1/3 x) 4/3))) 1) y)) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (*.f64 x (-.f64 (*.f64 1/3 x) 4/3))) 1) y)) |
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
| Outputs |
|---|
(/.f64 -4/3 y) |
(-.f64 (*.f64 1/3 (/.f64 x y)) (*.f64 4/3 (/.f64 1 y))) |
(/.f64 (fma.f64 1/3 x -4/3) y) |
(-.f64 (*.f64 1/3 (/.f64 x y)) (*.f64 4/3 (/.f64 1 y))) |
(/.f64 (fma.f64 1/3 x -4/3) y) |
(-.f64 (*.f64 1/3 (/.f64 x y)) (*.f64 4/3 (/.f64 1 y))) |
(/.f64 (fma.f64 1/3 x -4/3) y) |
(*.f64 1/3 (/.f64 x y)) |
(*.f64 (/.f64 1/3 y) x) |
(-.f64 (*.f64 1/3 (/.f64 x y)) (*.f64 4/3 (/.f64 1 y))) |
(/.f64 (fma.f64 1/3 x -4/3) y) |
(-.f64 (*.f64 1/3 (/.f64 x y)) (*.f64 4/3 (/.f64 1 y))) |
(/.f64 (fma.f64 1/3 x -4/3) y) |
(-.f64 (*.f64 1/3 (/.f64 x y)) (*.f64 4/3 (/.f64 1 y))) |
(/.f64 (fma.f64 1/3 x -4/3) y) |
(*.f64 1/3 (/.f64 x y)) |
(*.f64 (/.f64 1/3 y) x) |
(-.f64 (*.f64 1/3 (/.f64 x y)) (*.f64 4/3 (/.f64 1 y))) |
(/.f64 (fma.f64 1/3 x -4/3) y) |
(-.f64 (*.f64 1/3 (/.f64 x y)) (*.f64 4/3 (/.f64 1 y))) |
(/.f64 (fma.f64 1/3 x -4/3) y) |
(-.f64 (*.f64 1/3 (/.f64 x y)) (*.f64 4/3 (/.f64 1 y))) |
(/.f64 (fma.f64 1/3 x -4/3) y) |
(/.f64 (-.f64 (*.f64 1/3 x) 4/3) y) |
(/.f64 (fma.f64 1/3 x -4/3) y) |
(/.f64 (-.f64 (*.f64 1/3 x) 4/3) y) |
(/.f64 (fma.f64 1/3 x -4/3) y) |
(/.f64 (-.f64 (*.f64 1/3 x) 4/3) y) |
(/.f64 (fma.f64 1/3 x -4/3) y) |
(/.f64 (-.f64 (*.f64 1/3 x) 4/3) y) |
(/.f64 (fma.f64 1/3 x -4/3) y) |
(/.f64 (-.f64 (*.f64 1/3 x) 4/3) y) |
(/.f64 (fma.f64 1/3 x -4/3) y) |
(/.f64 (-.f64 (*.f64 1/3 x) 4/3) y) |
(/.f64 (fma.f64 1/3 x -4/3) y) |
(/.f64 (-.f64 (*.f64 1/3 x) 4/3) y) |
(/.f64 (fma.f64 1/3 x -4/3) y) |
(/.f64 (-.f64 (*.f64 1/3 x) 4/3) y) |
(/.f64 (fma.f64 1/3 x -4/3) y) |
(/.f64 (-.f64 (*.f64 1/3 x) 4/3) y) |
(/.f64 (fma.f64 1/3 x -4/3) y) |
(/.f64 (-.f64 (*.f64 1/3 x) 4/3) y) |
(/.f64 (fma.f64 1/3 x -4/3) y) |
(/.f64 (-.f64 (*.f64 1/3 x) 4/3) y) |
(/.f64 (fma.f64 1/3 x -4/3) y) |
(/.f64 (-.f64 (*.f64 1/3 x) 4/3) y) |
(/.f64 (fma.f64 1/3 x -4/3) y) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 (/.f64 -4/3 y) x) |
(*.f64 x (/.f64 -4/3 y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 (*.f64 x x) y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (*.f64 (/.f64 1/3 y) x) x)) |
(*.f64 (/.f64 x y) (fma.f64 1/3 x -4/3)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 (*.f64 x x) y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (*.f64 (/.f64 1/3 y) x) x)) |
(*.f64 (/.f64 x y) (fma.f64 1/3 x -4/3)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 (*.f64 x x) y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (*.f64 (/.f64 1/3 y) x) x)) |
(*.f64 (/.f64 x y) (fma.f64 1/3 x -4/3)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 (*.f64 (/.f64 1/3 y) x) x) |
(*.f64 (/.f64 x y) (*.f64 1/3 x)) |
(/.f64 (*.f64 1/3 (*.f64 x x)) y) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 (*.f64 x x) y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (*.f64 (/.f64 1/3 y) x) x)) |
(*.f64 (/.f64 x y) (fma.f64 1/3 x -4/3)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 (*.f64 x x) y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (*.f64 (/.f64 1/3 y) x) x)) |
(*.f64 (/.f64 x y) (fma.f64 1/3 x -4/3)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 (*.f64 x x) y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (*.f64 (/.f64 1/3 y) x) x)) |
(*.f64 (/.f64 x y) (fma.f64 1/3 x -4/3)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 (*.f64 (/.f64 1/3 y) x) x) |
(*.f64 (/.f64 x y) (*.f64 1/3 x)) |
(/.f64 (*.f64 1/3 (*.f64 x x)) y) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 (*.f64 x x) y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (*.f64 (/.f64 1/3 y) x) x)) |
(*.f64 (/.f64 x y) (fma.f64 1/3 x -4/3)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 (*.f64 x x) y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (*.f64 (/.f64 1/3 y) x) x)) |
(*.f64 (/.f64 x y) (fma.f64 1/3 x -4/3)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 (*.f64 x x) y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (*.f64 (/.f64 1/3 y) x) x)) |
(*.f64 (/.f64 x y) (fma.f64 1/3 x -4/3)) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 (*.f64 x x) y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (*.f64 (/.f64 1/3 y) x) x)) |
(*.f64 (/.f64 x y) (fma.f64 1/3 x -4/3)) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 (*.f64 x x) y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (*.f64 (/.f64 1/3 y) x) x)) |
(*.f64 (/.f64 x y) (fma.f64 1/3 x -4/3)) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 (*.f64 x x) y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (*.f64 (/.f64 1/3 y) x) x)) |
(*.f64 (/.f64 x y) (fma.f64 1/3 x -4/3)) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 (*.f64 x x) y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (*.f64 (/.f64 1/3 y) x) x)) |
(*.f64 (/.f64 x y) (fma.f64 1/3 x -4/3)) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 (*.f64 x x) y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (*.f64 (/.f64 1/3 y) x) x)) |
(*.f64 (/.f64 x y) (fma.f64 1/3 x -4/3)) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 (*.f64 x x) y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (*.f64 (/.f64 1/3 y) x) x)) |
(*.f64 (/.f64 x y) (fma.f64 1/3 x -4/3)) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 (*.f64 x x) y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (*.f64 (/.f64 1/3 y) x) x)) |
(*.f64 (/.f64 x y) (fma.f64 1/3 x -4/3)) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 (*.f64 x x) y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (*.f64 (/.f64 1/3 y) x) x)) |
(*.f64 (/.f64 x y) (fma.f64 1/3 x -4/3)) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 (*.f64 x x) y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (*.f64 (/.f64 1/3 y) x) x)) |
(*.f64 (/.f64 x y) (fma.f64 1/3 x -4/3)) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 (*.f64 x x) y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (*.f64 (/.f64 1/3 y) x) x)) |
(*.f64 (/.f64 x y) (fma.f64 1/3 x -4/3)) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 (*.f64 x x) y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (*.f64 (/.f64 1/3 y) x) x)) |
(*.f64 (/.f64 x y) (fma.f64 1/3 x -4/3)) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 (*.f64 x x) y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (*.f64 (/.f64 1/3 y) x) x)) |
(*.f64 (/.f64 x y) (fma.f64 1/3 x -4/3)) |
-4/3 |
(-.f64 (*.f64 1/3 x) 4/3) |
(fma.f64 1/3 x -4/3) |
(-.f64 (*.f64 1/3 x) 4/3) |
(fma.f64 1/3 x -4/3) |
(-.f64 (*.f64 1/3 x) 4/3) |
(fma.f64 1/3 x -4/3) |
(*.f64 1/3 x) |
(-.f64 (*.f64 1/3 x) 4/3) |
(fma.f64 1/3 x -4/3) |
(-.f64 (*.f64 1/3 x) 4/3) |
(fma.f64 1/3 x -4/3) |
(-.f64 (*.f64 1/3 x) 4/3) |
(fma.f64 1/3 x -4/3) |
(*.f64 1/3 x) |
(-.f64 (*.f64 1/3 x) 4/3) |
(fma.f64 1/3 x -4/3) |
(-.f64 (*.f64 1/3 x) 4/3) |
(fma.f64 1/3 x -4/3) |
(-.f64 (*.f64 1/3 x) 4/3) |
(fma.f64 1/3 x -4/3) |
(/.f64 (+.f64 1 (*.f64 x (-.f64 (*.f64 1/3 x) 4/3))) y) |
(/.f64 (+.f64 1 (*.f64 x (fma.f64 1/3 x -4/3))) y) |
(/.f64 (fma.f64 x (fma.f64 1/3 x -4/3) 1) y) |
(/.f64 (+.f64 1 (*.f64 x (-.f64 (*.f64 1/3 x) 4/3))) y) |
(/.f64 (+.f64 1 (*.f64 x (fma.f64 1/3 x -4/3))) y) |
(/.f64 (fma.f64 x (fma.f64 1/3 x -4/3) 1) y) |
(/.f64 (+.f64 1 (*.f64 x (-.f64 (*.f64 1/3 x) 4/3))) y) |
(/.f64 (+.f64 1 (*.f64 x (fma.f64 1/3 x -4/3))) y) |
(/.f64 (fma.f64 x (fma.f64 1/3 x -4/3) 1) y) |
(/.f64 (+.f64 1 (*.f64 x (-.f64 (*.f64 1/3 x) 4/3))) y) |
(/.f64 (+.f64 1 (*.f64 x (fma.f64 1/3 x -4/3))) y) |
(/.f64 (fma.f64 x (fma.f64 1/3 x -4/3) 1) y) |
(/.f64 (+.f64 1 (*.f64 x (-.f64 (*.f64 1/3 x) 4/3))) y) |
(/.f64 (+.f64 1 (*.f64 x (fma.f64 1/3 x -4/3))) y) |
(/.f64 (fma.f64 x (fma.f64 1/3 x -4/3) 1) y) |
(/.f64 (+.f64 1 (*.f64 x (-.f64 (*.f64 1/3 x) 4/3))) y) |
(/.f64 (+.f64 1 (*.f64 x (fma.f64 1/3 x -4/3))) y) |
(/.f64 (fma.f64 x (fma.f64 1/3 x -4/3) 1) y) |
(/.f64 (+.f64 1 (*.f64 x (-.f64 (*.f64 1/3 x) 4/3))) y) |
(/.f64 (+.f64 1 (*.f64 x (fma.f64 1/3 x -4/3))) y) |
(/.f64 (fma.f64 x (fma.f64 1/3 x -4/3) 1) y) |
(/.f64 (+.f64 1 (*.f64 x (-.f64 (*.f64 1/3 x) 4/3))) y) |
(/.f64 (+.f64 1 (*.f64 x (fma.f64 1/3 x -4/3))) y) |
(/.f64 (fma.f64 x (fma.f64 1/3 x -4/3) 1) y) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (*.f64 x (-.f64 (*.f64 1/3 x) 4/3))) 1) y)) |
(/.f64 (+.f64 1 (*.f64 x (fma.f64 1/3 x -4/3))) y) |
(/.f64 (fma.f64 x (fma.f64 1/3 x -4/3) 1) y) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (*.f64 x (-.f64 (*.f64 1/3 x) 4/3))) 1) y)) |
(/.f64 (+.f64 1 (*.f64 x (fma.f64 1/3 x -4/3))) y) |
(/.f64 (fma.f64 x (fma.f64 1/3 x -4/3) 1) y) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (*.f64 x (-.f64 (*.f64 1/3 x) 4/3))) 1) y)) |
(/.f64 (+.f64 1 (*.f64 x (fma.f64 1/3 x -4/3))) y) |
(/.f64 (fma.f64 x (fma.f64 1/3 x -4/3) 1) y) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (*.f64 x (-.f64 (*.f64 1/3 x) 4/3))) 1) y)) |
(/.f64 (+.f64 1 (*.f64 x (fma.f64 1/3 x -4/3))) y) |
(/.f64 (fma.f64 x (fma.f64 1/3 x -4/3) 1) y) |
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)) |
(/.f64 (fma.f64 -4/3 x 1) y) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(/.f64 (+.f64 1 (*.f64 x (fma.f64 1/3 x -4/3))) y) |
(/.f64 (fma.f64 x (fma.f64 1/3 x -4/3) 1) y) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(/.f64 (+.f64 1 (*.f64 x (fma.f64 1/3 x -4/3))) y) |
(/.f64 (fma.f64 x (fma.f64 1/3 x -4/3) 1) y) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 (*.f64 (/.f64 1/3 y) x) x) |
(*.f64 (/.f64 x y) (*.f64 1/3 x)) |
(/.f64 (*.f64 1/3 (*.f64 x x)) y) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 (*.f64 x x) y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (*.f64 (/.f64 1/3 y) x) x)) |
(*.f64 (/.f64 x y) (fma.f64 1/3 x -4/3)) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(/.f64 (+.f64 1 (*.f64 x (fma.f64 1/3 x -4/3))) y) |
(/.f64 (fma.f64 x (fma.f64 1/3 x -4/3) 1) y) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(/.f64 (+.f64 1 (*.f64 x (fma.f64 1/3 x -4/3))) y) |
(/.f64 (fma.f64 x (fma.f64 1/3 x -4/3) 1) y) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 (*.f64 (/.f64 1/3 y) x) x) |
(*.f64 (/.f64 x y) (*.f64 1/3 x)) |
(/.f64 (*.f64 1/3 (*.f64 x x)) y) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 (*.f64 x x) y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (*.f64 (/.f64 1/3 y) x) x)) |
(*.f64 (/.f64 x y) (fma.f64 1/3 x -4/3)) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(/.f64 (+.f64 1 (*.f64 x (fma.f64 1/3 x -4/3))) y) |
(/.f64 (fma.f64 x (fma.f64 1/3 x -4/3) 1) y) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(/.f64 (+.f64 1 (*.f64 x (fma.f64 1/3 x -4/3))) y) |
(/.f64 (fma.f64 x (fma.f64 1/3 x -4/3) 1) y) |
6 alts after pruning (4 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 144 | 2 | 146 |
| Fresh | 2 | 2 | 4 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 146 | 6 | 152 |
| Status | Error | Program |
|---|---|---|
| 7.8b | (+.f64 (/.f64 1 y) (/.f64 1 (/.f64 y (*.f64 x (fma.f64 1/3 x -4/3))))) | |
| 7.8b | (+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (/.f64 (-.f64 16/9 (*.f64 (*.f64 x x) 1/9)) (+.f64 -4/3 (*.f64 -1/3 x))))) | |
| ✓ | 0.1b | (+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))) |
| ▶ | 0.1b | (+.f64 (/.f64 1 y) (*.f64 x (-.f64 (*.f64 1/3 (/.f64 x y)) (*.f64 4/3 (/.f64 1 y))))) |
| 0.4b | (+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2) (cbrt.f64 (*.f64 x 1/3)) -4/3))) | |
| ✓ | 0.1b | (+.f64 (/.f64 1 y) (*.f64 x (/.f64 (fma.f64 1/3 x -4/3) y))) |
Compiled 2645 to 1877 computations (29% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (/.f64 1 y) (*.f64 x (-.f64 (*.f64 1/3 (/.f64 x y)) (*.f64 4/3 (/.f64 1 y))))) |
| ✓ | 0.2b | (*.f64 x (-.f64 (*.f64 1/3 (/.f64 x y)) (*.f64 4/3 (/.f64 1 y)))) |
| ✓ | 0.3b | (*.f64 1/3 (/.f64 x y)) |
| ✓ | 0.4b | (*.f64 4/3 (/.f64 1 y)) |
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | inf | (*.f64 1/3 (/.f64 x y)) |
| 1.0ms | x | @ | 0 | (*.f64 1/3 (/.f64 x y)) |
| 1.0ms | x | @ | 0 | (*.f64 x (-.f64 (*.f64 1/3 (/.f64 x y)) (*.f64 4/3 (/.f64 1 y)))) |
| 1.0ms | y | @ | 0 | (*.f64 x (-.f64 (*.f64 1/3 (/.f64 x y)) (*.f64 4/3 (/.f64 1 y)))) |
| 1.0ms | x | @ | inf | (*.f64 x (-.f64 (*.f64 1/3 (/.f64 x y)) (*.f64 4/3 (/.f64 1 y)))) |
| 1× | batch-egg-rewrite |
| 303× | fma-neg_binary64 |
| 255× | expm1-udef_binary64 |
| 255× | log1p-udef_binary64 |
| 150× | add-sqr-sqrt_binary64 |
| 142× | *-un-lft-identity_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 49 |
| 1 | 301 | 41 |
| 2 | 4156 | 37 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 4/3 (/.f64 1 y)) |
(*.f64 1/3 (/.f64 x y)) |
(*.f64 x (-.f64 (*.f64 1/3 (/.f64 x y)) (*.f64 4/3 (/.f64 1 y)))) |
(+.f64 (/.f64 1 y) (*.f64 x (-.f64 (*.f64 1/3 (/.f64 x y)) (*.f64 4/3 (/.f64 1 y))))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 4/3 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4/3 y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4/3 (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 4/3 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 4/3 (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 4/3 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 4/3 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 4/3 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 64/27 (pow.f64 y -3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 y -2) 16/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 4/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 4/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 64/27 (pow.f64 y -3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 4/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 4/3 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 4/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 4/3 y))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/3 (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 1/3 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/3 x) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/3 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/3 x) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) 1/3) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/3 (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/3 (/.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 x y) 3) 1/27) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 x y) 3) 1/27))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/3 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/3 (/.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/3 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 (/.f64 x y)))))))) |
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| 1× | egg-herbie |
| 444× | associate-*l*_binary64 |
| 428× | fma-def_binary64 |
| 344× | associate-*r*_binary64 |
| 236× | fma-neg_binary64 |
| 200× | distribute-rgt-neg-in_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 755 |
| 1 | 77 | 717 |
| 2 | 159 | 717 |
| 3 | 393 | 579 |
| 4 | 1157 | 576 |
| 5 | 4043 | 576 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 4/3 y) |
(/.f64 4/3 y) |
(/.f64 4/3 y) |
(/.f64 4/3 y) |
(/.f64 4/3 y) |
(/.f64 4/3 y) |
(/.f64 4/3 y) |
(/.f64 4/3 y) |
(/.f64 4/3 y) |
(/.f64 4/3 y) |
(/.f64 4/3 y) |
(/.f64 4/3 y) |
(*.f64 -4/3 (/.f64 x y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(*.f64 -1 (/.f64 (*.f64 (+.f64 4/3 (*.f64 -1/3 x)) x) y)) |
(*.f64 -1 (/.f64 (*.f64 (+.f64 4/3 (*.f64 -1/3 x)) x) y)) |
(*.f64 -1 (/.f64 (*.f64 (+.f64 4/3 (*.f64 -1/3 x)) x) y)) |
(*.f64 -1 (/.f64 (*.f64 (+.f64 4/3 (*.f64 -1/3 x)) x) y)) |
(/.f64 (+.f64 1 (*.f64 x (-.f64 (*.f64 1/3 x) 4/3))) y) |
(/.f64 (+.f64 1 (*.f64 x (-.f64 (*.f64 1/3 x) 4/3))) y) |
(/.f64 (+.f64 1 (*.f64 x (-.f64 (*.f64 1/3 x) 4/3))) y) |
(/.f64 (+.f64 1 (*.f64 x (-.f64 (*.f64 1/3 x) 4/3))) y) |
(/.f64 (+.f64 1 (*.f64 x (-.f64 (*.f64 1/3 x) 4/3))) y) |
(/.f64 (+.f64 1 (*.f64 x (-.f64 (*.f64 1/3 x) 4/3))) y) |
(/.f64 (+.f64 1 (*.f64 x (-.f64 (*.f64 1/3 x) 4/3))) y) |
(/.f64 (+.f64 1 (*.f64 x (-.f64 (*.f64 1/3 x) 4/3))) y) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 (+.f64 4/3 (*.f64 -1/3 x)) x) 1) y)) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 (+.f64 4/3 (*.f64 -1/3 x)) x) 1) y)) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 (+.f64 4/3 (*.f64 -1/3 x)) x) 1) y)) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 (+.f64 4/3 (*.f64 -1/3 x)) x) 1) y)) |
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
| Outputs |
|---|
(/.f64 4/3 y) |
(/.f64 4/3 y) |
(/.f64 4/3 y) |
(/.f64 4/3 y) |
(/.f64 4/3 y) |
(/.f64 4/3 y) |
(/.f64 4/3 y) |
(/.f64 4/3 y) |
(/.f64 4/3 y) |
(/.f64 4/3 y) |
(/.f64 4/3 y) |
(/.f64 4/3 y) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 (/.f64 -4/3 y) x) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 (*.f64 x 1/3) y) x)) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 (*.f64 x 1/3) y) x)) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 (*.f64 x 1/3) y) x)) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 (/.f64 (*.f64 x 1/3) y) x) |
(*.f64 x (/.f64 x (/.f64 y 1/3))) |
(*.f64 x (*.f64 x (/.f64 1/3 y))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 (*.f64 x 1/3) y) x)) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 (*.f64 x 1/3) y) x)) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 (*.f64 x 1/3) y) x)) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 (/.f64 (*.f64 x 1/3) y) x) |
(*.f64 x (/.f64 x (/.f64 y 1/3))) |
(*.f64 x (*.f64 x (/.f64 1/3 y))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 (*.f64 x 1/3) y) x)) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 (*.f64 x 1/3) y) x)) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 (*.f64 x 1/3) y) x)) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y)) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 (*.f64 x 1/3) y) x)) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y)) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 (*.f64 x 1/3) y) x)) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y)) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 (*.f64 x 1/3) y) x)) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y)) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 (*.f64 x 1/3) y) x)) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y)) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 (*.f64 x 1/3) y) x)) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y)) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 (*.f64 x 1/3) y) x)) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y)) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 (*.f64 x 1/3) y) x)) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y)) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 (*.f64 x 1/3) y) x)) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y)) |
(*.f64 -1 (/.f64 (*.f64 (+.f64 4/3 (*.f64 -1/3 x)) x) y)) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 (*.f64 x 1/3) y) x)) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y)) |
(*.f64 -1 (/.f64 (*.f64 (+.f64 4/3 (*.f64 -1/3 x)) x) y)) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 (*.f64 x 1/3) y) x)) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y)) |
(*.f64 -1 (/.f64 (*.f64 (+.f64 4/3 (*.f64 -1/3 x)) x) y)) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 (*.f64 x 1/3) y) x)) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y)) |
(*.f64 -1 (/.f64 (*.f64 (+.f64 4/3 (*.f64 -1/3 x)) x) y)) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 (*.f64 x 1/3) y) x)) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y)) |
(/.f64 (+.f64 1 (*.f64 x (-.f64 (*.f64 1/3 x) 4/3))) y) |
(/.f64 (+.f64 1 (*.f64 x (fma.f64 1/3 x -4/3))) y) |
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y) |
(/.f64 (+.f64 1 (*.f64 x (-.f64 (*.f64 1/3 x) 4/3))) y) |
(/.f64 (+.f64 1 (*.f64 x (fma.f64 1/3 x -4/3))) y) |
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y) |
(/.f64 (+.f64 1 (*.f64 x (-.f64 (*.f64 1/3 x) 4/3))) y) |
(/.f64 (+.f64 1 (*.f64 x (fma.f64 1/3 x -4/3))) y) |
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y) |
(/.f64 (+.f64 1 (*.f64 x (-.f64 (*.f64 1/3 x) 4/3))) y) |
(/.f64 (+.f64 1 (*.f64 x (fma.f64 1/3 x -4/3))) y) |
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y) |
(/.f64 (+.f64 1 (*.f64 x (-.f64 (*.f64 1/3 x) 4/3))) y) |
(/.f64 (+.f64 1 (*.f64 x (fma.f64 1/3 x -4/3))) y) |
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y) |
(/.f64 (+.f64 1 (*.f64 x (-.f64 (*.f64 1/3 x) 4/3))) y) |
(/.f64 (+.f64 1 (*.f64 x (fma.f64 1/3 x -4/3))) y) |
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y) |
(/.f64 (+.f64 1 (*.f64 x (-.f64 (*.f64 1/3 x) 4/3))) y) |
(/.f64 (+.f64 1 (*.f64 x (fma.f64 1/3 x -4/3))) y) |
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y) |
(/.f64 (+.f64 1 (*.f64 x (-.f64 (*.f64 1/3 x) 4/3))) y) |
(/.f64 (+.f64 1 (*.f64 x (fma.f64 1/3 x -4/3))) y) |
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 (+.f64 4/3 (*.f64 -1/3 x)) x) 1) y)) |
(/.f64 (+.f64 1 (*.f64 x (fma.f64 1/3 x -4/3))) y) |
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 (+.f64 4/3 (*.f64 -1/3 x)) x) 1) y)) |
(/.f64 (+.f64 1 (*.f64 x (fma.f64 1/3 x -4/3))) y) |
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 (+.f64 4/3 (*.f64 -1/3 x)) x) 1) y)) |
(/.f64 (+.f64 1 (*.f64 x (fma.f64 1/3 x -4/3))) y) |
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 (+.f64 4/3 (*.f64 -1/3 x)) x) 1) y)) |
(/.f64 (+.f64 1 (*.f64 x (fma.f64 1/3 x -4/3))) y) |
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y) |
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (*.f64 -4/3 (/.f64 x y)) (/.f64 1 y)) |
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)) |
(/.f64 (fma.f64 -4/3 x 1) y) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(/.f64 (+.f64 1 (*.f64 x (fma.f64 1/3 x -4/3))) y) |
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(/.f64 (+.f64 1 (*.f64 x (fma.f64 1/3 x -4/3))) y) |
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 (/.f64 (*.f64 x 1/3) y) x) |
(*.f64 x (/.f64 x (/.f64 y 1/3))) |
(*.f64 x (*.f64 x (/.f64 1/3 y))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 (*.f64 x 1/3) y) x)) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y)) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(/.f64 (+.f64 1 (*.f64 x (fma.f64 1/3 x -4/3))) y) |
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(/.f64 (+.f64 1 (*.f64 x (fma.f64 1/3 x -4/3))) y) |
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 (/.f64 (*.f64 x 1/3) y) x) |
(*.f64 x (/.f64 x (/.f64 y 1/3))) |
(*.f64 x (*.f64 x (/.f64 1/3 y))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 (*.f64 x 1/3) y) x)) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y)) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(/.f64 (+.f64 1 (*.f64 x (fma.f64 1/3 x -4/3))) y) |
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(/.f64 (+.f64 1 (*.f64 x (fma.f64 1/3 x -4/3))) y) |
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y) |
6 alts after pruning (3 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 113 | 0 | 113 |
| Fresh | 0 | 3 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 113 | 6 | 119 |
| Status | Error | Program |
|---|---|---|
| 7.8b | (+.f64 (/.f64 1 y) (/.f64 1 (/.f64 y (*.f64 x (fma.f64 1/3 x -4/3))))) | |
| 7.8b | (+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (/.f64 (-.f64 16/9 (*.f64 (*.f64 x x) 1/9)) (+.f64 -4/3 (*.f64 -1/3 x))))) | |
| ✓ | 0.1b | (+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))) |
| ✓ | 0.1b | (+.f64 (/.f64 1 y) (*.f64 x (-.f64 (*.f64 1/3 (/.f64 x y)) (*.f64 4/3 (/.f64 1 y))))) |
| 0.4b | (+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2) (cbrt.f64 (*.f64 x 1/3)) -4/3))) | |
| ✓ | 0.1b | (+.f64 (/.f64 1 y) (*.f64 x (/.f64 (fma.f64 1/3 x -4/3) y))) |
Compiled 2231 to 1539 computations (31% saved)
Total -8.3b remaining (-6703.2%)
Threshold costs -8.3b (-6703.2%)
| Inputs |
|---|
(+.f64 (/.f64 1 y) (/.f64 1 (/.f64 y (*.f64 x (fma.f64 1/3 x -4/3))))) |
(+.f64 (/.f64 1 y) (*.f64 x (-.f64 (*.f64 1/3 (/.f64 x y)) (*.f64 4/3 (/.f64 1 y))))) |
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (/.f64 (-.f64 16/9 (*.f64 (*.f64 x x) 1/9)) (+.f64 -4/3 (*.f64 -1/3 x))))) |
(+.f64 (/.f64 1 y) (fma.f64 (*.f64 (/.f64 x y) x) 1/3 (*.f64 (/.f64 x y) -4/3))) |
(+.f64 (/.f64 1 y) (/.f64 1 (/.f64 y (*.f64 x (fma.f64 x 1/3 -4/3))))) |
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2) (cbrt.f64 (*.f64 x 1/3)) -4/3))) |
(+.f64 (/.f64 1 y) (*.f64 x (/.f64 (fma.f64 1/3 x -4/3) y))) |
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) (*.f64 y 3)) |
(/.f64 (*.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) 1/3) y) |
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))) |
(*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) (*.f64 y 3))) |
(*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) (/.f64 1/3 y))) |
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3)) |
| Outputs |
|---|
(+.f64 (/.f64 1 y) (*.f64 x (/.f64 (fma.f64 1/3 x -4/3) y))) |
| 8.0ms | 0.1b | x |
| 7.0ms | 0.1b | y |
| 9.0ms | 0.1b | (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3)) |
| 3.0ms | 0.1b | (*.f64 (-.f64 1 x) (-.f64 3 x)) |
| 7.0ms | 0.1b | (*.f64 y 3) |
| 9.0ms | 0.1b | (*.f64 y 3) |
Compiled 222 to 155 computations (30.2% saved)
| 1× | egg-herbie |
| 1× | +-commutative_binary64 |
| 1× | *-commutative_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 17 |
| 1 | 15 | 17 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (/.f64 1 y) (*.f64 x (/.f64 (fma.f64 1/3 x -4/3) y))) |
| Outputs |
|---|
(+.f64 (/.f64 1 y) (*.f64 x (/.f64 (fma.f64 1/3 x -4/3) y))) |
| 1× | fuel |
Compiled 28 to 20 computations (28.6% saved)
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