Time bar (total: 4.1s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 0% | 99.9% | 0.1% | 1 |
| 0% | 99.9% | 0.1% | 2 |
| 0% | 99.9% | 0.1% | 3 |
| 0% | 99.9% | 0.1% | 4 |
| 0% | 99.9% | 0.1% | 5 |
| 0% | 99.9% | 0.1% | 6 |
| 6.2% | 49.9% | 43.8% | 7 |
| 9.4% | 46.8% | 43.8% | 8 |
| 14% | 39% | 47% | 9 |
| 18.7% | 30% | 51.2% | 10 |
| 21.8% | 26.7% | 51.4% | 11 |
| 25.9% | 21.8% | 52.2% | 12 |
| 29.4% | 16.6% | 54.1% | 13 |
| 31.4% | 14.3% | 54.2% | 14 |
Compiled 16 to 12 computations (25% saved)
| 1.2s | 8256× | body | 128 | valid |
| 54.0ms | 394× | body | 128 | invalid |
| 2× | egg-herbie |
| 811× | fma-def_binary64 |
| 443× | unsub-neg_binary64 |
| 369× | distribute-rgt-in_binary64 |
| 336× | fma-neg_binary64 |
| 248× | sub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 64 |
| 1 | 82 | 64 |
| 2 | 209 | 64 |
| 3 | 491 | 64 |
| 4 | 1161 | 56 |
| 5 | 2534 | 56 |
| 6 | 4299 | 56 |
| 0 | 3 | 3 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
2 |
| Outputs |
|---|
0 |
1 |
2 |
| Inputs |
|---|
(+.f64 (*.f64 x 1/2) (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))) |
(+.f64 (*.f64 y 1/2) (*.f64 x (+.f64 (-.f64 1 z) (log.f64 z)))) |
(+.f64 (*.f64 z 1/2) (*.f64 y (+.f64 (-.f64 1 x) (log.f64 x)))) |
(+.f64 (*.f64 x 1/2) (*.f64 z (+.f64 (-.f64 1 y) (log.f64 y)))) |
| Outputs |
|---|
(+.f64 (*.f64 x 1/2) (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))) |
(fma.f64 x 1/2 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))) |
(fma.f64 y (+.f64 (-.f64 1 z) (log.f64 z)) (*.f64 x 1/2)) |
(+.f64 (fma.f64 x 1/2 y) (*.f64 y (-.f64 (log.f64 z) z))) |
(fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(+.f64 (*.f64 y 1/2) (*.f64 x (+.f64 (-.f64 1 z) (log.f64 z)))) |
(fma.f64 y 1/2 (*.f64 x (+.f64 (-.f64 1 z) (log.f64 z)))) |
(fma.f64 x (+.f64 (-.f64 1 z) (log.f64 z)) (*.f64 1/2 y)) |
(fma.f64 1/2 y (fma.f64 x (-.f64 (log.f64 z) z) x)) |
(+.f64 (*.f64 z 1/2) (*.f64 y (+.f64 (-.f64 1 x) (log.f64 x)))) |
(fma.f64 z 1/2 (*.f64 y (+.f64 (-.f64 1 x) (log.f64 x)))) |
(fma.f64 1/2 z (*.f64 y (+.f64 (-.f64 1 x) (log.f64 x)))) |
(fma.f64 y (+.f64 (-.f64 1 x) (log.f64 x)) (*.f64 1/2 z)) |
(+.f64 (fma.f64 1/2 z y) (*.f64 y (-.f64 (log.f64 x) x))) |
(fma.f64 1/2 z (fma.f64 y (-.f64 (log.f64 x) x) y)) |
(+.f64 (*.f64 x 1/2) (*.f64 z (+.f64 (-.f64 1 y) (log.f64 y)))) |
(fma.f64 x 1/2 (*.f64 z (+.f64 (-.f64 1 y) (log.f64 y)))) |
(+.f64 (fma.f64 x 1/2 z) (*.f64 z (-.f64 (log.f64 y) y))) |
(fma.f64 x 1/2 (fma.f64 z (-.f64 (log.f64 y) y) z)) |
Compiled 15 to 11 computations (26.7% saved)
| 1× | egg-herbie |
| 982× | fma-def_binary64 |
| 790× | fma-neg_binary64 |
| 274× | sub-neg_binary64 |
| 221× | associate--r+_binary64 |
| 216× | distribute-rgt-in_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 16 |
| 1 | 29 | 16 |
| 2 | 65 | 16 |
| 3 | 143 | 16 |
| 4 | 336 | 14 |
| 5 | 718 | 14 |
| 6 | 1240 | 14 |
| 7 | 1881 | 14 |
| 8 | 2833 | 14 |
| 9 | 3323 | 14 |
| 10 | 4425 | 14 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 x 1/2) (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))) |
| Outputs |
|---|
(+.f64 (*.f64 x 1/2) (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))) |
(fma.f64 x 1/2 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))) |
(fma.f64 y (+.f64 (-.f64 1 z) (log.f64 z)) (*.f64 x 1/2)) |
(fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y)) |
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 2 | 1 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.1b | (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y)) |
Compiled 51 to 31 computations (39.2% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (log.f64 z) z) |
| ✓ | 0.0b | (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y)) |
| ✓ | 0.2b | (fma.f64 y (-.f64 (log.f64 z) z) y) |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 31.0ms | y | @ | 0 | (fma.f64 y (-.f64 (log.f64 z) z) y) |
| 10.0ms | y | @ | -inf | (fma.f64 y (-.f64 (log.f64 z) z) y) |
| 3.0ms | z | @ | 0 | (fma.f64 y (-.f64 (log.f64 z) z) y) |
| 2.0ms | z | @ | -inf | (fma.f64 y (-.f64 (log.f64 z) z) y) |
| 2.0ms | x | @ | 0 | (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y)) |
| 1× | batch-egg-rewrite |
| 472× | prod-diff_binary64 |
| 425× | log-prod_binary64 |
| 221× | fma-def_binary64 |
| 175× | expm1-udef_binary64 |
| 175× | log1p-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 30 |
| 1 | 189 | 30 |
| 2 | 2415 | 30 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 y (-.f64 (log.f64 z) z) y) |
(fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(-.f64 (log.f64 z) z) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 y (-.f64 (log.f64 z) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (-.f64 (log.f64 z) z)) y)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 y (-.f64 (log.f64 z) z) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y (-.f64 (log.f64 z) z)) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) z) y))) (cbrt.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) z) y))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) z) y)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y (-.f64 (log.f64 z) z) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y (-.f64 (log.f64 z) z) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) y)) (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) y)) 2) (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) y)) (sqrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y (-.f64 (log.f64 z) z)) 3) (pow.f64 y 3)) (fma.f64 (*.f64 y (-.f64 (log.f64 z) z)) (*.f64 y (-.f64 (log.f64 z) z)) (-.f64 (*.f64 y y) (*.f64 (*.f64 y (-.f64 (log.f64 z) z)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 y (-.f64 (log.f64 z) z)) (*.f64 y (-.f64 (log.f64 z) z)) (neg.f64 (*.f64 y y))) (fma.f64 y (-.f64 (log.f64 z) z) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (-.f64 (log.f64 z) z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 y) (exp.f64 (*.f64 y (-.f64 (log.f64 z) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 y)) (exp.f64 (*.f64 y (-.f64 (log.f64 z) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 y (-.f64 (log.f64 z) z))) (+.f64 1 (expm1.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y (-.f64 (log.f64 z) z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y (-.f64 (log.f64 z) z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 y (-.f64 (log.f64 z) z) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y (-.f64 (log.f64 z) z) y))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/2) (fma.f64 y (-.f64 (log.f64 z) z) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 1/2) 1) (fma.f64 y (-.f64 (log.f64 z) z) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 1/2 (*.f64 y (-.f64 (log.f64 z) z))) y)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y)))) (cbrt.f64 (exp.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y))) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y))) 2) (cbrt.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y))) (sqrt.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) 3)) (fma.f64 (*.f64 x 1/2) (*.f64 x 1/2) (-.f64 (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) 2) (*.f64 (*.f64 x 1/2) (fma.f64 y (-.f64 (log.f64 z) z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x 1/2) (*.f64 x 1/2)) (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) 2)) (-.f64 (*.f64 x 1/2) (fma.f64 y (-.f64 (log.f64 z) z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) z) y)) (exp.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 y (-.f64 (log.f64 z) z) y))) (exp.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 x 1/2)) (+.f64 1 (expm1.f64 (fma.f64 y (-.f64 (log.f64 z) z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 z) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 z) (*.f64 (neg.f64 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 z) z) (fma.f64 (neg.f64 z) 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 z) z) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 z) z) (+.f64 (neg.f64 z) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 z) z) (fma.f64 -1 z z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 z) z) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 z) (log.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (log.f64 z) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (/.f64 z (exp.f64 z))) (cbrt.f64 (/.f64 z (exp.f64 z))))) (log.f64 (cbrt.f64 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(neg.f64 z)) (cbrt.f64 (neg.f64 z))) (cbrt.f64 (neg.f64 z)) (log.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z)) (log.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) (log.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 z (log.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (log.f64 z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (log.f64 z)) (sqrt.f64 z)) (fma.f64 (neg.f64 z) 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (log.f64 z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (log.f64 z)) (sqrt.f64 z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (log.f64 z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (log.f64 z)) (sqrt.f64 z)) (+.f64 (neg.f64 z) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (log.f64 z)))))) |
| 1× | egg-herbie |
| 512× | fma-def_binary64 |
| 273× | sub-neg_binary64 |
| 268× | distribute-rgt-in_binary64 |
| 259× | unsub-neg_binary64 |
| 236× | associate--l+_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 837 |
| 1 | 163 | 735 |
| 2 | 392 | 735 |
| 3 | 978 | 735 |
| 4 | 2716 | 735 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)) |
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)) |
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)) |
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)) |
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)) |
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)) |
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)) |
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)) |
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (-.f64 (log.f64 z) z)) 1))) |
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (-.f64 (log.f64 z) z)) 1))) |
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (-.f64 (log.f64 z) z)) 1))) |
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (-.f64 (log.f64 z) z)) 1))) |
(+.f64 (*.f64 y (log.f64 z)) y) |
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 -1 (*.f64 y z)) y)) |
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 -1 (*.f64 y z)) y)) |
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 -1 (*.f64 y z)) y)) |
(*.f64 -1 (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 z)))) (+.f64 y (*.f64 -1 (*.f64 y z)))) |
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 z)))) (+.f64 y (*.f64 -1 (*.f64 y z)))) |
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 z)))) (+.f64 y (*.f64 -1 (*.f64 y z)))) |
(*.f64 -1 (*.f64 y z)) |
(+.f64 y (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))) |
(+.f64 y (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))) |
(+.f64 y (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))) |
(+.f64 y (*.f64 y (-.f64 (log.f64 z) z))) |
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))) |
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))) |
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))) |
(*.f64 1/2 x) |
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))) |
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))) |
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))) |
(*.f64 1/2 x) |
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))) |
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))) |
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))) |
(*.f64 1/2 x) |
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)) |
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (-.f64 (log.f64 z) z)) 1))) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (-.f64 (log.f64 z) z)) 1)))) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (-.f64 (log.f64 z) z)) 1)))) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (-.f64 (log.f64 z) z)) 1)))) |
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 1/2 x) y)) |
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) y))) |
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) y))) |
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) y))) |
(*.f64 -1 (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 z)))) (+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 -1 (*.f64 y z))))) |
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 z)))) (+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 -1 (*.f64 y z))))) |
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 z)))) (+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 -1 (*.f64 y z))))) |
(*.f64 -1 (*.f64 y z)) |
(+.f64 (*.f64 1/2 x) (+.f64 y (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))) |
(+.f64 (*.f64 1/2 x) (+.f64 y (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))) |
(+.f64 (*.f64 1/2 x) (+.f64 y (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))) |
(log.f64 z) |
(+.f64 (*.f64 -1 z) (log.f64 z)) |
(+.f64 (*.f64 -1 z) (log.f64 z)) |
(+.f64 (*.f64 -1 z) (log.f64 z)) |
(*.f64 -1 z) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (log.f64 (/.f64 1 z)))) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (log.f64 (/.f64 1 z)))) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (log.f64 (/.f64 1 z)))) |
(*.f64 -1 z) |
(+.f64 (*.f64 -1 z) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))) |
(+.f64 (*.f64 -1 z) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))) |
(+.f64 (*.f64 -1 z) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))) |
| Outputs |
|---|
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)) |
(fma.f64 y (-.f64 (log.f64 z) z) y) |
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)) |
(fma.f64 y (-.f64 (log.f64 z) z) y) |
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)) |
(fma.f64 y (-.f64 (log.f64 z) z) y) |
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)) |
(fma.f64 y (-.f64 (log.f64 z) z) y) |
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)) |
(fma.f64 y (-.f64 (log.f64 z) z) y) |
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)) |
(fma.f64 y (-.f64 (log.f64 z) z) y) |
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)) |
(fma.f64 y (-.f64 (log.f64 z) z) y) |
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)) |
(fma.f64 y (-.f64 (log.f64 z) z) y) |
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (-.f64 (log.f64 z) z)) 1))) |
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)) |
(fma.f64 y (-.f64 (log.f64 z) z) y) |
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (-.f64 (log.f64 z) z)) 1))) |
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)) |
(fma.f64 y (-.f64 (log.f64 z) z) y) |
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (-.f64 (log.f64 z) z)) 1))) |
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)) |
(fma.f64 y (-.f64 (log.f64 z) z) y) |
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (-.f64 (log.f64 z) z)) 1))) |
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)) |
(fma.f64 y (-.f64 (log.f64 z) z) y) |
(+.f64 (*.f64 y (log.f64 z)) y) |
(fma.f64 y (log.f64 z) y) |
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 -1 (*.f64 y z)) y)) |
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)) |
(fma.f64 y (-.f64 (log.f64 z) z) y) |
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 -1 (*.f64 y z)) y)) |
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)) |
(fma.f64 y (-.f64 (log.f64 z) z) y) |
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 -1 (*.f64 y z)) y)) |
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)) |
(fma.f64 y (-.f64 (log.f64 z) z) y) |
(*.f64 -1 (*.f64 y z)) |
(neg.f64 (*.f64 y z)) |
(*.f64 y (neg.f64 z)) |
(*.f64 z (neg.f64 y)) |
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 z)))) (+.f64 y (*.f64 -1 (*.f64 y z)))) |
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)) |
(fma.f64 y (-.f64 (log.f64 z) z) y) |
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 z)))) (+.f64 y (*.f64 -1 (*.f64 y z)))) |
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)) |
(fma.f64 y (-.f64 (log.f64 z) z) y) |
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 z)))) (+.f64 y (*.f64 -1 (*.f64 y z)))) |
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)) |
(fma.f64 y (-.f64 (log.f64 z) z) y) |
(*.f64 -1 (*.f64 y z)) |
(neg.f64 (*.f64 y z)) |
(*.f64 y (neg.f64 z)) |
(*.f64 z (neg.f64 y)) |
(+.f64 y (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))) |
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)) |
(fma.f64 y (-.f64 (log.f64 z) z) y) |
(+.f64 y (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))) |
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)) |
(fma.f64 y (-.f64 (log.f64 z) z) y) |
(+.f64 y (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))) |
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)) |
(fma.f64 y (-.f64 (log.f64 z) z) y) |
(+.f64 y (*.f64 y (-.f64 (log.f64 z) z))) |
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)) |
(fma.f64 y (-.f64 (log.f64 z) z) y) |
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))) |
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)) |
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))) |
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)) |
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))) |
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)) |
(*.f64 1/2 x) |
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))) |
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)) |
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))) |
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)) |
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))) |
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)) |
(*.f64 1/2 x) |
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))) |
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)) |
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))) |
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)) |
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))) |
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)) |
(*.f64 1/2 x) |
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)) |
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)) |
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)) |
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)) |
(fma.f64 y (-.f64 (log.f64 z) z) y) |
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)) |
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)) |
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)) |
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (-.f64 (log.f64 z) z)) 1))) |
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)) |
(fma.f64 y (-.f64 (log.f64 z) z) y) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (-.f64 (log.f64 z) z)) 1)))) |
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (-.f64 (log.f64 z) z)) 1)))) |
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (-.f64 (log.f64 z) z)) 1)))) |
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)) |
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 1/2 x) y)) |
(fma.f64 y (log.f64 z) (fma.f64 1/2 x y)) |
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) y))) |
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)) |
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) y))) |
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)) |
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) y))) |
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)) |
(*.f64 -1 (*.f64 y z)) |
(neg.f64 (*.f64 y z)) |
(*.f64 y (neg.f64 z)) |
(*.f64 z (neg.f64 y)) |
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 z)))) (+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 -1 (*.f64 y z))))) |
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)) |
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 z)))) (+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 -1 (*.f64 y z))))) |
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)) |
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 z)))) (+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 -1 (*.f64 y z))))) |
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)) |
(*.f64 -1 (*.f64 y z)) |
(neg.f64 (*.f64 y z)) |
(*.f64 y (neg.f64 z)) |
(*.f64 z (neg.f64 y)) |
(+.f64 (*.f64 1/2 x) (+.f64 y (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))) |
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)) |
(+.f64 (*.f64 1/2 x) (+.f64 y (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))) |
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)) |
(+.f64 (*.f64 1/2 x) (+.f64 y (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))) |
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)) |
(log.f64 z) |
(+.f64 (*.f64 -1 z) (log.f64 z)) |
(-.f64 (log.f64 z) z) |
(+.f64 (*.f64 -1 z) (log.f64 z)) |
(-.f64 (log.f64 z) z) |
(+.f64 (*.f64 -1 z) (log.f64 z)) |
(-.f64 (log.f64 z) z) |
(*.f64 -1 z) |
(neg.f64 z) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (log.f64 (/.f64 1 z)))) |
(-.f64 (log.f64 z) z) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (log.f64 (/.f64 1 z)))) |
(-.f64 (log.f64 z) z) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (log.f64 (/.f64 1 z)))) |
(-.f64 (log.f64 z) z) |
(*.f64 -1 z) |
(neg.f64 z) |
(+.f64 (*.f64 -1 z) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))) |
(-.f64 (log.f64 z) z) |
(+.f64 (*.f64 -1 z) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))) |
(-.f64 (log.f64 z) z) |
(+.f64 (*.f64 -1 z) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))) |
(-.f64 (log.f64 z) z) |
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 170 | 7 | 177 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 171 | 7 | 178 |
| Status | Error | Program |
|---|---|---|
| 34.4b | (fma.f64 x 1/2 (pow.f64 (sqrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) y)) 2)) | |
| ▶ | 0.1b | (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)) |
| 14.5b | (fma.f64 x 1/2 (fma.f64 y (cbrt.f64 (pow.f64 (-.f64 (log.f64 z) z) 3)) y)) | |
| 14.4b | (fma.f64 x 1/2 (fma.f64 y (/.f64 1 (/.f64 (fma.f64 z (+.f64 z (log.f64 z)) (pow.f64 (log.f64 z) 2)) (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 z 3)))) y)) | |
| 20.0b | (fma.f64 x 1/2 (/.f64 (fma.f64 (*.f64 y (-.f64 (log.f64 z) z)) (*.f64 y (-.f64 (log.f64 z) z)) (neg.f64 (*.f64 y y))) (fma.f64 y (-.f64 (log.f64 z) z) (neg.f64 y)))) | |
| 9.0b | (fma.f64 x 1/2 (fma.f64 y (*.f64 (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 z z)) (/.f64 1 (+.f64 z (log.f64 z)))) y)) | |
| 14.4b | (fma.f64 x 1/2 (fma.f64 y (*.f64 (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 z 3)) (/.f64 1 (fma.f64 z (+.f64 z (log.f64 z)) (pow.f64 (log.f64 z) 2)))) y)) |
Compiled 3318 to 1395 computations (58% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (-.f64 (log.f64 z) z) | |
| ✓ | 0.1b | (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | 0 | (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)) |
| 0.0ms | x | @ | -inf | (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)) |
| 0.0ms | x | @ | inf | (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)) |
| 0.0ms | x | @ | 0 | (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)) |
| 0.0ms | z | @ | 0 | (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)) |
| 1× | batch-egg-rewrite |
| 472× | prod-diff_binary64 |
| 425× | log-prod_binary64 |
| 224× | fma-def_binary64 |
| 175× | expm1-udef_binary64 |
| 175× | log1p-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 14 |
| 1 | 189 | 14 |
| 2 | 2416 | 14 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (-.f64 (log.f64 z) z)) (fma.f64 1/2 x y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y (-.f64 (log.f64 z) z)) 1) (fma.f64 1/2 x y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 y (-.f64 (log.f64 z) z) (*.f64 1/2 x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)))) (cbrt.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))) (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))) 2) (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))) (sqrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y (-.f64 (log.f64 z) z)) 3) (pow.f64 (fma.f64 1/2 x y) 3)) (fma.f64 (*.f64 y (-.f64 (log.f64 z) z)) (*.f64 y (-.f64 (log.f64 z) z)) (-.f64 (pow.f64 (fma.f64 1/2 x y) 2) (*.f64 (*.f64 y (-.f64 (log.f64 z) z)) (fma.f64 1/2 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 y (-.f64 (log.f64 z) z)) (*.f64 y (-.f64 (log.f64 z) z))) (pow.f64 (fma.f64 1/2 x y) 2)) (-.f64 (*.f64 y (-.f64 (log.f64 z) z)) (fma.f64 1/2 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 1/2 x y)) (exp.f64 (*.f64 y (-.f64 (log.f64 z) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 x y))) (exp.f64 (*.f64 y (-.f64 (log.f64 z) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 y (-.f64 (log.f64 z) z))) (+.f64 1 (expm1.f64 (fma.f64 1/2 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)))))))) |
| 1× | egg-herbie |
| 697× | unsub-neg_binary64 |
| 532× | fma-def_binary64 |
| 236× | sub-neg_binary64 |
| 212× | distribute-rgt-in_binary64 |
| 196× | associate--l+_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 503 |
| 1 | 127 | 443 |
| 2 | 342 | 443 |
| 3 | 936 | 443 |
| 4 | 2528 | 443 |
| 5 | 4728 | 443 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 x) |
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)) |
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (-.f64 (log.f64 z) z)) 1))) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (-.f64 (log.f64 z) z)) 1)))) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (-.f64 (log.f64 z) z)) 1)))) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (-.f64 (log.f64 z) z)) 1)))) |
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 1/2 x) y)) |
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) y))) |
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) y))) |
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) y))) |
(*.f64 -1 (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 z)))) (+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 -1 (*.f64 y z))))) |
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 z)))) (+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 -1 (*.f64 y z))))) |
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 z)))) (+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 -1 (*.f64 y z))))) |
(*.f64 -1 (*.f64 y z)) |
(+.f64 (*.f64 1/2 x) (+.f64 y (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))) |
(+.f64 (*.f64 1/2 x) (+.f64 y (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))) |
(+.f64 (*.f64 1/2 x) (+.f64 y (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))) |
(+.f64 y (*.f64 y (-.f64 (log.f64 z) z))) |
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))) |
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))) |
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))) |
(*.f64 1/2 x) |
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))) |
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))) |
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))) |
(*.f64 1/2 x) |
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))) |
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))) |
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))) |
| Outputs |
|---|
(*.f64 1/2 x) |
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)) |
(fma.f64 y (-.f64 (log.f64 z) z) y) |
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (-.f64 (log.f64 z) z)) 1))) |
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)) |
(fma.f64 y (-.f64 (log.f64 z) z) y) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (-.f64 (log.f64 z) z)) 1)))) |
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (-.f64 (log.f64 z) z)) 1)))) |
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (-.f64 (log.f64 z) z)) 1)))) |
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 1/2 x) y)) |
(fma.f64 y (log.f64 z) (fma.f64 1/2 x y)) |
(fma.f64 1/2 x (fma.f64 y (log.f64 z) y)) |
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) y))) |
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) y))) |
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) y))) |
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(*.f64 -1 (*.f64 y z)) |
(neg.f64 (*.f64 y z)) |
(*.f64 z (neg.f64 y)) |
(*.f64 y (neg.f64 z)) |
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 z)))) (+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 -1 (*.f64 y z))))) |
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 z)))) (+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 -1 (*.f64 y z))))) |
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 z)))) (+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 -1 (*.f64 y z))))) |
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(*.f64 -1 (*.f64 y z)) |
(neg.f64 (*.f64 y z)) |
(*.f64 z (neg.f64 y)) |
(*.f64 y (neg.f64 z)) |
(+.f64 (*.f64 1/2 x) (+.f64 y (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))) |
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(+.f64 (*.f64 1/2 x) (+.f64 y (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))) |
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(+.f64 (*.f64 1/2 x) (+.f64 y (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))) |
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(+.f64 y (*.f64 y (-.f64 (log.f64 z) z))) |
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)) |
(fma.f64 y (-.f64 (log.f64 z) z) y) |
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))) |
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))) |
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))) |
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(*.f64 1/2 x) |
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))) |
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))) |
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))) |
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(*.f64 1/2 x) |
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))) |
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))) |
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))) |
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 139 | 5 | 144 |
| Fresh | 5 | 1 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 144 | 7 | 151 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.1b | (+.f64 (fma.f64 y (-.f64 (log.f64 z) z) (*.f64 1/2 x)) y) |
| 14.5b | (fma.f64 x 1/2 (fma.f64 y (cbrt.f64 (pow.f64 (-.f64 (log.f64 z) z) 3)) y)) | |
| 33.1b | (/.f64 (-.f64 (*.f64 (*.f64 y (-.f64 (log.f64 z) z)) (*.f64 y (-.f64 (log.f64 z) z))) (pow.f64 (fma.f64 1/2 x y) 2)) (-.f64 (*.f64 y (-.f64 (log.f64 z) z)) (fma.f64 1/2 x y))) | |
| ✓ | 0.1b | (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)) |
| 14.4b | (fma.f64 y (*.f64 (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 z 3)) (/.f64 1 (fma.f64 z (+.f64 z (log.f64 z)) (pow.f64 (log.f64 z) 2)))) (fma.f64 1/2 x y)) | |
| 9.0b | (fma.f64 y (*.f64 (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 z z)) (/.f64 1 (+.f64 z (log.f64 z)))) (fma.f64 1/2 x y)) | |
| 14.4b | (fma.f64 y (/.f64 1 (/.f64 (fma.f64 z (+.f64 z (log.f64 z)) (pow.f64 (log.f64 z) 2)) (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 z 3)))) (fma.f64 1/2 x y)) |
Compiled 2759 to 1220 computations (55.8% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (-.f64 (log.f64 z) z) | |
| ✓ | 0.1b | (fma.f64 y (-.f64 (log.f64 z) z) (*.f64 1/2 x)) |
| ✓ | 0.1b | (+.f64 (fma.f64 y (-.f64 (log.f64 z) z) (*.f64 1/2 x)) y) |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (+.f64 (fma.f64 y (-.f64 (log.f64 z) z) (*.f64 1/2 x)) y) |
| 0.0ms | x | @ | -inf | (+.f64 (fma.f64 y (-.f64 (log.f64 z) z) (*.f64 1/2 x)) y) |
| 0.0ms | y | @ | 0 | (+.f64 (fma.f64 y (-.f64 (log.f64 z) z) (*.f64 1/2 x)) y) |
| 0.0ms | z | @ | -inf | (+.f64 (fma.f64 y (-.f64 (log.f64 z) z) (*.f64 1/2 x)) y) |
| 0.0ms | z | @ | inf | (+.f64 (fma.f64 y (-.f64 (log.f64 z) z) (*.f64 1/2 x)) y) |
| 1× | batch-egg-rewrite |
| 516× | log-prod_binary64 |
| 389× | fma-def_binary64 |
| 203× | expm1-udef_binary64 |
| 203× | log1p-udef_binary64 |
| 197× | fma-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 29 |
| 1 | 218 | 29 |
| 2 | 2995 | 27 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (fma.f64 y (-.f64 (log.f64 z) z) (*.f64 1/2 x)) y) |
(fma.f64 y (-.f64 (log.f64 z) z) (*.f64 1/2 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) (*.f64 1/2 x)) 2) (-.f64 (fma.f64 y (-.f64 (log.f64 z) z) (*.f64 1/2 x)) y)) (/.f64 (*.f64 y y) (-.f64 (fma.f64 y (-.f64 (log.f64 z) z) (*.f64 1/2 x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))) (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))) 2) (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))) (sqrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) (*.f64 1/2 x)) 3) (pow.f64 y 3)) (/.f64 1 (fma.f64 y (-.f64 y (fma.f64 y (-.f64 (log.f64 z) z) (*.f64 1/2 x))) (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) (*.f64 1/2 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) (*.f64 1/2 x)) 2) (*.f64 y y)) (/.f64 1 (-.f64 (fma.f64 y (-.f64 (log.f64 z) z) (*.f64 1/2 x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 y (-.f64 y (fma.f64 y (-.f64 (log.f64 z) z) (*.f64 1/2 x))) (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) (*.f64 1/2 x)) 2)) (+.f64 (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) (*.f64 1/2 x)) 3) (pow.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 y (-.f64 (log.f64 z) z) (*.f64 1/2 x)) y) 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z) z) (*.f64 1/2 x))) (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) (*.f64 1/2 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) (*.f64 1/2 x)) 2) (*.f64 y y))) (neg.f64 (-.f64 (fma.f64 y (-.f64 (log.f64 z) z) (*.f64 1/2 x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 y y) (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) (*.f64 1/2 x)) 2)) (-.f64 y (fma.f64 y (-.f64 (log.f64 z) z) (*.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 y)) (exp.f64 (fma.f64 y (-.f64 (log.f64 z) z) (*.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 y) (+.f64 1 (expm1.f64 (fma.f64 y (-.f64 (log.f64 z) z) (*.f64 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 y)) (+.f64 1 (expm1.f64 (fma.f64 y (-.f64 (log.f64 z) z) (*.f64 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 y (-.f64 (log.f64 z) z) (*.f64 1/2 x)))) (exp.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) z) (*.f64 1/2 x))) 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1/2 x))) (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) (*.f64 1/2 x))) 2) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) (*.f64 1/2 x))) 2) (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) (*.f64 1/2 x))) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (fma.f64 y (-.f64 (log.f64 z) z) (*.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (-.f64 (log.f64 z) z)) (fma.f64 1/2 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) (*.f64 1/2 x))) (sqrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) (*.f64 1/2 x))) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 y (-.f64 (log.f64 z) z))) (cbrt.f64 (*.f64 y (-.f64 (log.f64 z) z)))) (cbrt.f64 (*.f64 y (-.f64 (log.f64 z) z))) (fma.f64 1/2 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y (-.f64 (log.f64 z) z))) (sqrt.f64 (*.f64 y (-.f64 (log.f64 z) z))) (fma.f64 1/2 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 (log.f64 z) z))) (*.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 (log.f64 z) z))) (fma.f64 1/2 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) 2)) (cbrt.f64 (-.f64 (log.f64 z) z)) (fma.f64 1/2 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 (-.f64 (log.f64 z) z))) (sqrt.f64 (-.f64 (log.f64 z) z)) (fma.f64 1/2 x y)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (log.f64 z) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (-.f64 (log.f64 z) z)) (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 y (-.f64 (log.f64 z) z) (*.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y (-.f64 (log.f64 z) z)) 1) (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) z) (*.f64 1/2 x)))) (cbrt.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) z) (*.f64 1/2 x)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) z) (*.f64 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) z) (*.f64 1/2 x))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) z) (*.f64 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y (-.f64 (log.f64 z) z) (*.f64 1/2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y (-.f64 (log.f64 z) z) (*.f64 1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y (-.f64 (log.f64 z) z) (*.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) (*.f64 1/2 x))) (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) (*.f64 1/2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) (*.f64 1/2 x))) 2) (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) (*.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) (*.f64 1/2 x))) (sqrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) (*.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y (-.f64 (log.f64 z) z)) 3) (pow.f64 (*.f64 1/2 x) 3)) (fma.f64 (*.f64 y (-.f64 (log.f64 z) z)) (*.f64 y (-.f64 (log.f64 z) z)) (-.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (*.f64 y (-.f64 (log.f64 z) z)) (*.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 y (-.f64 (log.f64 z) z)) (*.f64 y (-.f64 (log.f64 z) z)) (neg.f64 (*.f64 1/4 (*.f64 x x)))) (-.f64 (*.f64 y (-.f64 (log.f64 z) z)) (*.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) (*.f64 1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) (*.f64 1/2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) (*.f64 1/2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) (*.f64 1/2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) (*.f64 1/2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) z) (*.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (-.f64 (log.f64 z) z) (*.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 1/2) x) (exp.f64 (*.f64 y (-.f64 (log.f64 z) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 x))) (exp.f64 (*.f64 y (-.f64 (log.f64 z) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 y (-.f64 (log.f64 z) z))) (+.f64 1 (expm1.f64 (*.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) (*.f64 1/2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y (-.f64 (log.f64 z) z) (*.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y (-.f64 (log.f64 z) z) (*.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 y (-.f64 (log.f64 z) z) (*.f64 1/2 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y (-.f64 (log.f64 z) z) (*.f64 1/2 x)))))))) |
| 1× | egg-herbie |
| 602× | fma-def_binary64 |
| 272× | unsub-neg_binary64 |
| 255× | sub-neg_binary64 |
| 217× | distribute-rgt-in_binary64 |
| 210× | associate--l+_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 915 |
| 1 | 146 | 855 |
| 2 | 375 | 855 |
| 3 | 1031 | 855 |
| 4 | 2712 | 855 |
| 5 | 4969 | 855 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 x) |
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)) |
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (-.f64 (log.f64 z) z)) 1))) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (-.f64 (log.f64 z) z)) 1)))) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (-.f64 (log.f64 z) z)) 1)))) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (-.f64 (log.f64 z) z)) 1)))) |
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 1/2 x) y)) |
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) y))) |
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) y))) |
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) y))) |
(*.f64 -1 (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 z)))) (+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 -1 (*.f64 y z))))) |
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 z)))) (+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 -1 (*.f64 y z))))) |
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 z)))) (+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 -1 (*.f64 y z))))) |
(*.f64 -1 (*.f64 y z)) |
(+.f64 (*.f64 1/2 x) (+.f64 y (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))) |
(+.f64 (*.f64 1/2 x) (+.f64 y (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))) |
(+.f64 (*.f64 1/2 x) (+.f64 y (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))) |
(+.f64 y (*.f64 y (-.f64 (log.f64 z) z))) |
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))) |
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))) |
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))) |
(*.f64 1/2 x) |
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))) |
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))) |
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))) |
(*.f64 1/2 x) |
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))) |
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))) |
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))) |
(*.f64 1/2 x) |
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (log.f64 z) z))) |
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (log.f64 z) z))) |
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (log.f64 z) z))) |
(*.f64 y (-.f64 (log.f64 z) z)) |
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (log.f64 z) z))) |
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (log.f64 z) z))) |
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (log.f64 z) z))) |
(*.f64 y (-.f64 (log.f64 z) z)) |
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (log.f64 z) z))) |
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (log.f64 z) z))) |
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (log.f64 z) z))) |
(+.f64 (*.f64 y (log.f64 z)) (*.f64 1/2 x)) |
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y z)))) |
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y z)))) |
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y z)))) |
(*.f64 -1 (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 z)))) (+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y z)))) |
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 z)))) (+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y z)))) |
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 z)))) (+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y z)))) |
(*.f64 -1 (*.f64 y z)) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))) |
(*.f64 y (-.f64 (log.f64 z) z)) |
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (log.f64 z) z))) |
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (log.f64 z) z))) |
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (log.f64 z) z))) |
(*.f64 1/2 x) |
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (log.f64 z) z))) |
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (log.f64 z) z))) |
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (log.f64 z) z))) |
(*.f64 1/2 x) |
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (log.f64 z) z))) |
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (log.f64 z) z))) |
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (log.f64 z) z))) |
| Outputs |
|---|
(*.f64 1/2 x) |
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)) |
(fma.f64 y (-.f64 (log.f64 z) z) y) |
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (-.f64 (log.f64 z) z)) 1))) |
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)) |
(fma.f64 y (-.f64 (log.f64 z) z) y) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (-.f64 (log.f64 z) z)) 1)))) |
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (-.f64 (log.f64 z) z)) 1)))) |
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (-.f64 (log.f64 z) z)) 1)))) |
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 1/2 x) y)) |
(fma.f64 y (log.f64 z) (fma.f64 1/2 x y)) |
(fma.f64 1/2 x (fma.f64 y (log.f64 z) y)) |
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) y))) |
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) y))) |
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) y))) |
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(*.f64 -1 (*.f64 y z)) |
(neg.f64 (*.f64 y z)) |
(*.f64 z (neg.f64 y)) |
(*.f64 y (neg.f64 z)) |
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 z)))) (+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 -1 (*.f64 y z))))) |
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 z)))) (+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 -1 (*.f64 y z))))) |
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 z)))) (+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 -1 (*.f64 y z))))) |
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(*.f64 -1 (*.f64 y z)) |
(neg.f64 (*.f64 y z)) |
(*.f64 z (neg.f64 y)) |
(*.f64 y (neg.f64 z)) |
(+.f64 (*.f64 1/2 x) (+.f64 y (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))) |
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(+.f64 (*.f64 1/2 x) (+.f64 y (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))) |
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(+.f64 (*.f64 1/2 x) (+.f64 y (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))) |
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(+.f64 y (*.f64 y (-.f64 (log.f64 z) z))) |
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)) |
(fma.f64 y (-.f64 (log.f64 z) z) y) |
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))) |
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))) |
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))) |
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(*.f64 1/2 x) |
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))) |
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))) |
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))) |
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(*.f64 1/2 x) |
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))) |
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))) |
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))) |
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(*.f64 1/2 x) |
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (log.f64 z) z))) |
(fma.f64 1/2 x (*.f64 y (-.f64 (log.f64 z) z))) |
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (log.f64 z) z))) |
(fma.f64 1/2 x (*.f64 y (-.f64 (log.f64 z) z))) |
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (log.f64 z) z))) |
(fma.f64 1/2 x (*.f64 y (-.f64 (log.f64 z) z))) |
(*.f64 y (-.f64 (log.f64 z) z)) |
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (log.f64 z) z))) |
(fma.f64 1/2 x (*.f64 y (-.f64 (log.f64 z) z))) |
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (log.f64 z) z))) |
(fma.f64 1/2 x (*.f64 y (-.f64 (log.f64 z) z))) |
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (log.f64 z) z))) |
(fma.f64 1/2 x (*.f64 y (-.f64 (log.f64 z) z))) |
(*.f64 y (-.f64 (log.f64 z) z)) |
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (log.f64 z) z))) |
(fma.f64 1/2 x (*.f64 y (-.f64 (log.f64 z) z))) |
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (log.f64 z) z))) |
(fma.f64 1/2 x (*.f64 y (-.f64 (log.f64 z) z))) |
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (log.f64 z) z))) |
(fma.f64 1/2 x (*.f64 y (-.f64 (log.f64 z) z))) |
(+.f64 (*.f64 y (log.f64 z)) (*.f64 1/2 x)) |
(fma.f64 y (log.f64 z) (*.f64 1/2 x)) |
(fma.f64 1/2 x (*.f64 y (log.f64 z))) |
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y z)))) |
(fma.f64 1/2 x (*.f64 y (-.f64 (log.f64 z) z))) |
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y z)))) |
(fma.f64 1/2 x (*.f64 y (-.f64 (log.f64 z) z))) |
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y z)))) |
(fma.f64 1/2 x (*.f64 y (-.f64 (log.f64 z) z))) |
(*.f64 -1 (*.f64 y z)) |
(neg.f64 (*.f64 y z)) |
(*.f64 z (neg.f64 y)) |
(*.f64 y (neg.f64 z)) |
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 z)))) (+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y z)))) |
(fma.f64 1/2 x (*.f64 y (-.f64 (log.f64 z) z))) |
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 z)))) (+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y z)))) |
(fma.f64 1/2 x (*.f64 y (-.f64 (log.f64 z) z))) |
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 z)))) (+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y z)))) |
(fma.f64 1/2 x (*.f64 y (-.f64 (log.f64 z) z))) |
(*.f64 -1 (*.f64 y z)) |
(neg.f64 (*.f64 y z)) |
(*.f64 z (neg.f64 y)) |
(*.f64 y (neg.f64 z)) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))) |
(fma.f64 1/2 x (*.f64 y (-.f64 (log.f64 z) z))) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))) |
(fma.f64 1/2 x (*.f64 y (-.f64 (log.f64 z) z))) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))) |
(fma.f64 1/2 x (*.f64 y (-.f64 (log.f64 z) z))) |
(*.f64 y (-.f64 (log.f64 z) z)) |
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (log.f64 z) z))) |
(fma.f64 1/2 x (*.f64 y (-.f64 (log.f64 z) z))) |
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (log.f64 z) z))) |
(fma.f64 1/2 x (*.f64 y (-.f64 (log.f64 z) z))) |
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (log.f64 z) z))) |
(fma.f64 1/2 x (*.f64 y (-.f64 (log.f64 z) z))) |
(*.f64 1/2 x) |
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (log.f64 z) z))) |
(fma.f64 1/2 x (*.f64 y (-.f64 (log.f64 z) z))) |
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (log.f64 z) z))) |
(fma.f64 1/2 x (*.f64 y (-.f64 (log.f64 z) z))) |
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (log.f64 z) z))) |
(fma.f64 1/2 x (*.f64 y (-.f64 (log.f64 z) z))) |
(*.f64 1/2 x) |
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (log.f64 z) z))) |
(fma.f64 1/2 x (*.f64 y (-.f64 (log.f64 z) z))) |
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (log.f64 z) z))) |
(fma.f64 1/2 x (*.f64 y (-.f64 (log.f64 z) z))) |
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (log.f64 z) z))) |
(fma.f64 1/2 x (*.f64 y (-.f64 (log.f64 z) z))) |
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 200 | 5 | 205 |
| Fresh | 4 | 1 | 5 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 0 | 1 |
| Total | 206 | 6 | 212 |
| Status | Error | Program |
|---|---|---|
| 14.4b | (fma.f64 y (*.f64 (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 z 3)) (/.f64 1 (fma.f64 z (+.f64 z (log.f64 z)) (pow.f64 (log.f64 z) 2)))) (fma.f64 1/2 x y)) | |
| 0.8b | (fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) 2)) (cbrt.f64 (-.f64 (log.f64 z) z)) (fma.f64 1/2 x y)) | |
| ▶ | 0.1b | (fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
| 14.5b | (+.f64 (fma.f64 y (cbrt.f64 (pow.f64 (-.f64 (log.f64 z) z) 3)) (*.f64 1/2 x)) y) | |
| 34.4b | (fma.f64 (sqrt.f64 (*.f64 y (-.f64 (log.f64 z) z))) (sqrt.f64 (*.f64 y (-.f64 (log.f64 z) z))) (fma.f64 1/2 x y)) | |
| 0.7b | (fma.f64 (*.f64 (cbrt.f64 (*.f64 y (-.f64 (log.f64 z) z))) (cbrt.f64 (*.f64 y (-.f64 (log.f64 z) z)))) (cbrt.f64 (*.f64 y (-.f64 (log.f64 z) z))) (fma.f64 1/2 x y)) |
Compiled 4002 to 1809 computations (54.8% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (-.f64 (log.f64 z) z) | |
| ✓ | 0.0b | (fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
| 0.2b | (fma.f64 y (-.f64 (log.f64 z) z) y) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
| 0.0ms | z | @ | inf | (fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
| 0.0ms | y | @ | -inf | (fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
| 0.0ms | z | @ | -inf | (fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
| 0.0ms | x | @ | -inf | (fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
| 1× | batch-egg-rewrite |
| 472× | prod-diff_binary64 |
| 425× | log-prod_binary64 |
| 221× | fma-def_binary64 |
| 175× | expm1-udef_binary64 |
| 175× | log1p-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 14 |
| 1 | 189 | 14 |
| 2 | 2416 | 14 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 x) (fma.f64 y (-.f64 (log.f64 z) z) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/2 x) 1) (fma.f64 y (-.f64 (log.f64 z) z) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/2 x (*.f64 y (-.f64 (log.f64 z) z))) y)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)))) (cbrt.f64 (exp.f64 (fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))) (pow.f64 (cbrt.f64 (fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))) 2) (cbrt.f64 (fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))) (sqrt.f64 (fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 1/2 x) 3) (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) 3)) (fma.f64 (*.f64 1/2 x) (*.f64 1/2 x) (-.f64 (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) 2) (*.f64 (*.f64 1/2 x) (fma.f64 y (-.f64 (log.f64 z) z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 1/2 x) (*.f64 1/2 x)) (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) 2)) (-.f64 (*.f64 1/2 x) (fma.f64 y (-.f64 (log.f64 z) z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) z) y)) (exp.f64 (*.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 y (-.f64 (log.f64 z) z) y))) (exp.f64 (*.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 1/2 x)) (+.f64 1 (expm1.f64 (fma.f64 y (-.f64 (log.f64 z) z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)))))))) |
| 1× | egg-herbie |
| 696× | unsub-neg_binary64 |
| 538× | fma-def_binary64 |
| 234× | sub-neg_binary64 |
| 212× | distribute-rgt-in_binary64 |
| 199× | associate--l+_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 503 |
| 1 | 128 | 443 |
| 2 | 343 | 443 |
| 3 | 936 | 443 |
| 4 | 2535 | 443 |
| 5 | 4735 | 443 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 y (*.f64 y (-.f64 (log.f64 z) z))) |
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))) |
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))) |
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))) |
(*.f64 1/2 x) |
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))) |
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))) |
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))) |
(*.f64 1/2 x) |
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))) |
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))) |
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))) |
(*.f64 1/2 x) |
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)) |
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (-.f64 (log.f64 z) z)) 1))) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (-.f64 (log.f64 z) z)) 1)))) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (-.f64 (log.f64 z) z)) 1)))) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (-.f64 (log.f64 z) z)) 1)))) |
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 1/2 x) y)) |
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) y))) |
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) y))) |
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) y))) |
(*.f64 -1 (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 z)))) (+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 -1 (*.f64 y z))))) |
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 z)))) (+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 -1 (*.f64 y z))))) |
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 z)))) (+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 -1 (*.f64 y z))))) |
(*.f64 -1 (*.f64 y z)) |
(+.f64 (*.f64 1/2 x) (+.f64 y (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))) |
(+.f64 (*.f64 1/2 x) (+.f64 y (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))) |
(+.f64 (*.f64 1/2 x) (+.f64 y (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))) |
| Outputs |
|---|
(+.f64 y (*.f64 y (-.f64 (log.f64 z) z))) |
(fma.f64 y (-.f64 (log.f64 z) z) y) |
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))) |
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)) |
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))) |
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)) |
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))) |
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)) |
(*.f64 1/2 x) |
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))) |
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)) |
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))) |
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)) |
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))) |
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)) |
(*.f64 1/2 x) |
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))) |
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)) |
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))) |
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)) |
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))) |
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)) |
(*.f64 1/2 x) |
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)) |
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)) |
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)) |
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)) |
(+.f64 y (*.f64 y (-.f64 (log.f64 z) z))) |
(fma.f64 y (-.f64 (log.f64 z) z) y) |
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)) |
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)) |
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))) |
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)) |
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (-.f64 (log.f64 z) z)) 1))) |
(+.f64 y (*.f64 y (-.f64 (log.f64 z) z))) |
(fma.f64 y (-.f64 (log.f64 z) z) y) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (-.f64 (log.f64 z) z)) 1)))) |
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (-.f64 (log.f64 z) z)) 1)))) |
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (-.f64 (log.f64 z) z)) 1)))) |
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)) |
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 1/2 x) y)) |
(fma.f64 y (log.f64 z) (fma.f64 1/2 x y)) |
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) y))) |
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)) |
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) y))) |
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)) |
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) y))) |
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)) |
(*.f64 -1 (*.f64 y z)) |
(neg.f64 (*.f64 y z)) |
(*.f64 y (neg.f64 z)) |
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 z)))) (+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 -1 (*.f64 y z))))) |
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)) |
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 z)))) (+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 -1 (*.f64 y z))))) |
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)) |
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 z)))) (+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 -1 (*.f64 y z))))) |
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)) |
(*.f64 -1 (*.f64 y z)) |
(neg.f64 (*.f64 y z)) |
(*.f64 y (neg.f64 z)) |
(+.f64 (*.f64 1/2 x) (+.f64 y (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))) |
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)) |
(+.f64 (*.f64 1/2 x) (+.f64 y (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))) |
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)) |
(+.f64 (*.f64 1/2 x) (+.f64 y (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))) |
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z))) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)) |
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 182 | 0 | 182 |
| Fresh | 0 | 5 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 182 | 6 | 188 |
| Status | Error | Program |
|---|---|---|
| 14.4b | (fma.f64 y (*.f64 (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 z 3)) (/.f64 1 (fma.f64 z (+.f64 z (log.f64 z)) (pow.f64 (log.f64 z) 2)))) (fma.f64 1/2 x y)) | |
| 0.8b | (fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) 2)) (cbrt.f64 (-.f64 (log.f64 z) z)) (fma.f64 1/2 x y)) | |
| ✓ | 0.1b | (fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
| 14.5b | (+.f64 (fma.f64 y (cbrt.f64 (pow.f64 (-.f64 (log.f64 z) z) 3)) (*.f64 1/2 x)) y) | |
| 34.4b | (fma.f64 (sqrt.f64 (*.f64 y (-.f64 (log.f64 z) z))) (sqrt.f64 (*.f64 y (-.f64 (log.f64 z) z))) (fma.f64 1/2 x y)) | |
| 0.7b | (fma.f64 (*.f64 (cbrt.f64 (*.f64 y (-.f64 (log.f64 z) z))) (cbrt.f64 (*.f64 y (-.f64 (log.f64 z) z)))) (cbrt.f64 (*.f64 y (-.f64 (log.f64 z) z))) (fma.f64 1/2 x y)) |
Compiled 3166 to 1287 computations (59.3% saved)
Total -53.7b remaining (-49071.5%)
Threshold costs -53.7b (-49071.5%)
| Inputs |
|---|
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) 2)) (cbrt.f64 (-.f64 (log.f64 z) z)) (fma.f64 1/2 x y)) |
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(+.f64 (fma.f64 y (cbrt.f64 (pow.f64 (-.f64 (log.f64 z) z) 3)) (*.f64 1/2 x)) y) |
(fma.f64 (sqrt.f64 (*.f64 y (-.f64 (log.f64 z) z))) (sqrt.f64 (*.f64 y (-.f64 (log.f64 z) z))) (fma.f64 1/2 x y)) |
(fma.f64 (*.f64 (cbrt.f64 (*.f64 y (-.f64 (log.f64 z) z))) (cbrt.f64 (*.f64 y (-.f64 (log.f64 z) z)))) (cbrt.f64 (*.f64 y (-.f64 (log.f64 z) z))) (fma.f64 1/2 x y)) |
(+.f64 (fma.f64 y (-.f64 (log.f64 z) z) (*.f64 1/2 x)) y) |
(/.f64 (-.f64 (*.f64 (*.f64 y (-.f64 (log.f64 z) z)) (*.f64 y (-.f64 (log.f64 z) z))) (pow.f64 (fma.f64 1/2 x y) 2)) (-.f64 (*.f64 y (-.f64 (log.f64 z) z)) (fma.f64 1/2 x y))) |
(fma.f64 y (*.f64 (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 z 3)) (/.f64 1 (fma.f64 z (+.f64 z (log.f64 z)) (pow.f64 (log.f64 z) 2)))) (fma.f64 1/2 x y)) |
(fma.f64 y (*.f64 (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 z z)) (/.f64 1 (+.f64 z (log.f64 z)))) (fma.f64 1/2 x y)) |
(fma.f64 y (/.f64 1 (/.f64 (fma.f64 z (+.f64 z (log.f64 z)) (pow.f64 (log.f64 z) 2)) (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 z 3)))) (fma.f64 1/2 x y)) |
(fma.f64 x 1/2 (pow.f64 (sqrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) y)) 2)) |
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)) |
(fma.f64 x 1/2 (fma.f64 y (cbrt.f64 (pow.f64 (-.f64 (log.f64 z) z) 3)) y)) |
(fma.f64 x 1/2 (fma.f64 y (/.f64 1 (/.f64 (fma.f64 z (+.f64 z (log.f64 z)) (pow.f64 (log.f64 z) 2)) (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 z 3)))) y)) |
(fma.f64 x 1/2 (/.f64 (fma.f64 (*.f64 y (-.f64 (log.f64 z) z)) (*.f64 y (-.f64 (log.f64 z) z)) (neg.f64 (*.f64 y y))) (fma.f64 y (-.f64 (log.f64 z) z) (neg.f64 y)))) |
(fma.f64 x 1/2 (fma.f64 y (*.f64 (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 z z)) (/.f64 1 (+.f64 z (log.f64 z)))) y)) |
(fma.f64 x 1/2 (fma.f64 y (*.f64 (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 z 3)) (/.f64 1 (fma.f64 z (+.f64 z (log.f64 z)) (pow.f64 (log.f64 z) 2)))) y)) |
(fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y)) |
(+.f64 (*.f64 x 1/2) (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))) |
| Outputs |
|---|
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)) |
| 10.0ms | 0.1b | x |
| 9.0ms | 0.1b | y |
| 10.0ms | 0.1b | z |
| 10.0ms | 0.1b | (+.f64 (*.f64 x 1/2) (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))) |
| 11.0ms | 0.1b | (*.f64 x 1/2) |
| 10.0ms | 0.1b | (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) |
| 10.0ms | 0.1b | (+.f64 (-.f64 1 z) (log.f64 z)) |
Compiled 425 to 193 computations (54.6% saved)
| 1× | egg-herbie |
| 2× | +-commutative_binary64 |
| 2× | sub-neg_binary64 |
| 1× | *-commutative_binary64 |
| 1× | neg-sub0_binary64 |
| 1× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 14 |
| 1 | 11 | 14 |
| 2 | 16 | 14 |
| 3 | 18 | 14 |
| 4 | 19 | 14 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)) |
| Outputs |
|---|
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)) |
| 1× | fuel |
Compiled 26 to 16 computations (38.5% saved)
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