Time bar (total: 3.0s)
| 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% | 74.9% | 25.1% | 3 |
| 0% | 74.9% | 25.1% | 4 |
| 0% | 62.4% | 37.6% | 5 |
| 0% | 56.2% | 43.8% | 6 |
| 6.2% | 49.9% | 43.8% | 7 |
| 9.4% | 43.7% | 47% | 8 |
| 14% | 37.4% | 48.5% | 9 |
| 21.1% | 30.4% | 48.5% | 10 |
| 24.6% | 26.1% | 49.3% | 11 |
| 28.7% | 21.6% | 49.7% | 12 |
| 33.4% | 16.9% | 49.7% | 13 |
| 35.8% | 14.3% | 49.9% | 14 |
Compiled 12 to 8 computations (33.3% saved)
| 976.0ms | 8255× | body | 128 | valid |
| 7.0ms | 68× | body | 128 | invalid |
| 1.0ms | 1× | body | 2048 | valid |
Compiled 24 to 16 computations (33.3% saved)
| 2× | egg-herbie |
| 723× | fma-neg_binary64 |
| 400× | distribute-rgt-in_binary64 |
| 398× | fma-def_binary64 |
| 274× | sub-neg_binary64 |
| 256× | distribute-lft-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 48 |
| 1 | 46 | 48 |
| 2 | 112 | 48 |
| 3 | 266 | 48 |
| 4 | 544 | 48 |
| 5 | 1249 | 48 |
| 6 | 2534 | 48 |
| 7 | 4307 | 48 |
| 0 | 3 | 3 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
2 |
| Outputs |
|---|
0 |
1 |
2 |
| Inputs |
|---|
(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
(-.f64 (-.f64 (*.f64 y (log.f64 x)) z) x) |
(-.f64 (-.f64 (*.f64 z (log.f64 y)) x) y) |
(-.f64 (-.f64 (*.f64 x (log.f64 z)) y) z) |
| Outputs |
|---|
(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
(-.f64 (*.f64 x (log.f64 y)) (+.f64 z y)) |
(-.f64 (*.f64 x (log.f64 y)) (+.f64 y z)) |
(-.f64 (fma.f64 x (log.f64 y) (neg.f64 y)) z) |
(-.f64 (-.f64 (*.f64 y (log.f64 x)) z) x) |
(-.f64 (fma.f64 y (log.f64 x) (neg.f64 z)) x) |
(-.f64 (*.f64 y (log.f64 x)) (+.f64 x z)) |
(fma.f64 y (log.f64 x) (-.f64 (neg.f64 x) z)) |
(-.f64 (-.f64 (*.f64 z (log.f64 y)) x) y) |
(-.f64 (*.f64 (log.f64 y) z) (+.f64 x y)) |
(fma.f64 (log.f64 y) z (neg.f64 (+.f64 x y))) |
(-.f64 (fma.f64 (log.f64 y) z (neg.f64 x)) y) |
(-.f64 (-.f64 (*.f64 x (log.f64 z)) y) z) |
(-.f64 (fma.f64 x (log.f64 z) (neg.f64 y)) z) |
(-.f64 (*.f64 x (log.f64 z)) (+.f64 y z)) |
(fma.f64 x (log.f64 z) (-.f64 (neg.f64 z) y)) |
Compiled 11 to 7 computations (36.4% saved)
| 1× | egg-herbie |
| 681× | fma-neg_binary64 |
| 398× | distribute-rgt-in_binary64 |
| 317× | fma-def_binary64 |
| 285× | unsub-neg_binary64 |
| 229× | distribute-neg-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 12 |
| 1 | 16 | 12 |
| 2 | 36 | 12 |
| 3 | 82 | 12 |
| 4 | 166 | 12 |
| 5 | 327 | 12 |
| 6 | 531 | 12 |
| 7 | 1282 | 12 |
| 8 | 2596 | 12 |
| 9 | 4179 | 12 |
| 10 | 4890 | 12 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
| Outputs |
|---|
(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
(-.f64 (*.f64 x (log.f64 y)) (+.f64 z y)) |
(-.f64 (*.f64 x (log.f64 y)) (+.f64 y z)) |
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 1 | 2 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.1b | (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
Compiled 41 to 23 computations (43.9% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (*.f64 x (log.f64 y)) z) |
| ✓ | 0.0b | (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
| ✓ | 0.2b | (*.f64 x (log.f64 y)) |
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 33.0ms | x | @ | 0 | (*.f64 x (log.f64 y)) |
| 16.0ms | y | @ | 0 | (*.f64 x (log.f64 y)) |
| 14.0ms | y | @ | inf | (*.f64 x (log.f64 y)) |
| 12.0ms | y | @ | -inf | (*.f64 x (log.f64 y)) |
| 2.0ms | z | @ | 0 | (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
| 1× | batch-egg-rewrite |
| 503× | fma-def_binary64 |
| 463× | log-prod_binary64 |
| 303× | fma-neg_binary64 |
| 172× | expm1-udef_binary64 |
| 172× | log1p-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 27 |
| 1 | 180 | 27 |
| 2 | 2635 | 27 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x (log.f64 y)) |
(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
(-.f64 (*.f64 x (log.f64 y)) z) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 y x)) (cbrt.f64 (pow.f64 y x)))) (log.f64 (cbrt.f64 (pow.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 y x))) (log.f64 (sqrt.f64 (pow.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (log.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (log.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (log.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (log.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 y x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 y x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (log.f64 y))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (log.f64 y)) (neg.f64 (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (log.f64 y)) (-.f64 (neg.f64 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x (log.f64 y)) z) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x (log.f64 y)) z) (*.f64 (neg.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x (log.f64 y)) (+.f64 y z)) (fma.f64 (neg.f64 y) 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x (log.f64 y)) (+.f64 y z)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x (log.f64 y)) (+.f64 y z)) (+.f64 (neg.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 y) (-.f64 (*.f64 x (log.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (*.f64 x (log.f64 y)) (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x 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z))) (sqrt.f64 (-.f64 (*.f64 x (log.f64 y)) (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (-.f64 (*.f64 x (log.f64 y)) z) 3) (pow.f64 y 3)) (/.f64 1 (fma.f64 y (fma.f64 x (log.f64 y) (fma.f64 -1 z y)) (pow.f64 (-.f64 (*.f64 x (log.f64 y)) z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (-.f64 (*.f64 x (log.f64 y)) z) 2) (*.f64 y y)) (/.f64 1 (fma.f64 x (log.f64 y) (fma.f64 -1 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x (log.f64 y)) z)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (-.f64 (*.f64 x (log.f64 y)) z)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 y (fma.f64 x (log.f64 y) (fma.f64 -1 z y)) (pow.f64 (-.f64 (*.f64 x (log.f64 y)) z) 2)) (-.f64 (pow.f64 (-.f64 (*.f64 x (log.f64 y)) z) 3) (pow.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x (log.f64 y) (fma.f64 -1 z y)) (-.f64 (pow.f64 (-.f64 (*.f64 x (log.f64 y)) z) 2) 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(log.f64 y)) (+.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (-.f64 (*.f64 x (log.f64 y)) z) 3) (pow.f64 (neg.f64 y) 3)) (+.f64 (pow.f64 (-.f64 (*.f64 x (log.f64 y)) z) 2) (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 (-.f64 (*.f64 x (log.f64 y)) z) (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 y)) 2) (*.f64 (+.f64 y z) (+.f64 y z))) (fma.f64 x (log.f64 y) (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (-.f64 (*.f64 x (log.f64 y)) z) 2) (*.f64 (neg.f64 y) (neg.f64 y))) (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 x (log.f64 y)) (+.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 x (log.f64 y)) (+.f64 y z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (*.f64 x (log.f64 y)) (+.f64 y z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (*.f64 x (log.f64 y)) (+.f64 y z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (*.f64 x (log.f64 y)) (+.f64 y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (pow.f64 y x) (exp.f64 (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 x (log.f64 y)) (+.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (-.f64 (pow.f64 y x) 1)) (exp.f64 (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (pow.f64 y x) (*.f64 (exp.f64 z) (exp.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (-.f64 (pow.f64 y x) 1)) (*.f64 (exp.f64 z) (exp.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 x (log.f64 y)) z))) (exp.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (/.f64 (pow.f64 y x) (exp.f64 z)) (+.f64 1 (expm1.f64 y))))))) (#(struct:change 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| 1× | egg-herbie |
| 2389× | fma-neg_binary64 |
| 451× | fma-def_binary64 |
| 415× | sub-neg_binary64 |
| 389× | unsub-neg_binary64 |
| 263× | distribute-neg-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 813 |
| 1 | 95 | 813 |
| 2 | 210 | 813 |
| 3 | 485 | 813 |
| 4 | 1300 | 813 |
| 5 | 3252 | 813 |
| 6 | 3997 | 813 |
| 7 | 4604 | 813 |
| 8 | 4759 | 813 |
| 9 | 4805 | 813 |
| 10 | 4815 | 813 |
| 11 | 4868 | 813 |
| 12 | 4889 | 813 |
| 13 | 4889 | 813 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 -1 (*.f64 x (log.f64 (/.f64 1 y)))) |
(*.f64 -1 (*.f64 x (log.f64 (/.f64 1 y)))) |
(*.f64 -1 (*.f64 x (log.f64 (/.f64 1 y)))) |
(*.f64 -1 (*.f64 x (log.f64 (/.f64 1 y)))) |
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) x) |
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) x) |
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) x) |
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) x) |
(*.f64 -1 (+.f64 y z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(*.f64 (log.f64 y) x) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(*.f64 (log.f64 y) x) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(*.f64 -1 y) |
(neg.f64 (+.f64 (*.f64 x (log.f64 (/.f64 1 y))) (+.f64 y z))) |
(neg.f64 (+.f64 (*.f64 x (log.f64 (/.f64 1 y))) (+.f64 y z))) |
(neg.f64 (+.f64 (*.f64 x (log.f64 (/.f64 1 y))) (+.f64 y z))) |
(*.f64 -1 y) |
(-.f64 (*.f64 (log.f64 -1) x) (+.f64 (*.f64 (log.f64 (/.f64 -1 y)) x) (+.f64 y z))) |
(-.f64 (*.f64 (log.f64 -1) x) (+.f64 (*.f64 (log.f64 (/.f64 -1 y)) x) (+.f64 y z))) |
(-.f64 (*.f64 (log.f64 -1) x) (+.f64 (*.f64 (log.f64 (/.f64 -1 y)) x) (+.f64 y z))) |
(-.f64 (*.f64 (log.f64 y) x) y) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(*.f64 -1 z) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(*.f64 -1 z) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(*.f64 -1 z) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(*.f64 (log.f64 y) x) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(*.f64 (log.f64 y) x) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(*.f64 -1 (+.f64 (*.f64 x (log.f64 (/.f64 1 y))) z)) |
(*.f64 -1 (+.f64 (*.f64 x (log.f64 (/.f64 1 y))) z)) |
(*.f64 -1 (+.f64 (*.f64 x (log.f64 (/.f64 1 y))) z)) |
(*.f64 -1 (+.f64 (*.f64 x (log.f64 (/.f64 1 y))) z)) |
(-.f64 (*.f64 (log.f64 -1) x) (+.f64 (*.f64 (log.f64 (/.f64 -1 y)) x) z)) |
(-.f64 (*.f64 (log.f64 -1) x) (+.f64 (*.f64 (log.f64 (/.f64 -1 y)) x) z)) |
(-.f64 (*.f64 (log.f64 -1) x) (+.f64 (*.f64 (log.f64 (/.f64 -1 y)) x) z)) |
(-.f64 (*.f64 (log.f64 -1) x) (+.f64 (*.f64 (log.f64 (/.f64 -1 y)) x) z)) |
(*.f64 (log.f64 y) x) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(*.f64 -1 z) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(*.f64 -1 z) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(-.f64 (*.f64 (log.f64 y) x) z) |
| Outputs |
|---|
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 -1 (*.f64 x (log.f64 (/.f64 1 y)))) |
(*.f64 (log.f64 y) x) |
(*.f64 -1 (*.f64 x (log.f64 (/.f64 1 y)))) |
(*.f64 (log.f64 y) x) |
(*.f64 -1 (*.f64 x (log.f64 (/.f64 1 y)))) |
(*.f64 (log.f64 y) x) |
(*.f64 -1 (*.f64 x (log.f64 (/.f64 1 y)))) |
(*.f64 (log.f64 y) x) |
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) x) |
(*.f64 (log.f64 y) x) |
(*.f64 -1 (+.f64 y z)) |
(neg.f64 (+.f64 y z)) |
(-.f64 (neg.f64 y) z) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 y)) z) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 y)) z) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 y)) z) |
(*.f64 (log.f64 y) x) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 y)) z) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 y)) z) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 y)) z) |
(*.f64 (log.f64 y) x) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 y)) z) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 y)) z) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 y)) z) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 y)) z) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 y)) z) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 y)) z) |
(*.f64 -1 y) |
(neg.f64 y) |
(neg.f64 (+.f64 (*.f64 x (log.f64 (/.f64 1 y))) (+.f64 y z))) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 y)) z) |
(neg.f64 (+.f64 (*.f64 x (log.f64 (/.f64 1 y))) (+.f64 y z))) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 y)) z) |
(neg.f64 (+.f64 (*.f64 x (log.f64 (/.f64 1 y))) (+.f64 y z))) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 y)) z) |
(*.f64 -1 y) |
(neg.f64 y) |
(-.f64 (*.f64 (log.f64 -1) x) (+.f64 (*.f64 (log.f64 (/.f64 -1 y)) x) (+.f64 y z))) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 y)) z) |
(-.f64 (*.f64 (log.f64 -1) x) (+.f64 (*.f64 (log.f64 (/.f64 -1 y)) x) (+.f64 y z))) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 y)) z) |
(-.f64 (*.f64 (log.f64 -1) x) (+.f64 (*.f64 (log.f64 (/.f64 -1 y)) x) (+.f64 y z))) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 y)) z) |
(-.f64 (*.f64 (log.f64 y) x) y) |
(fma.f64 (log.f64 y) x (neg.f64 y)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 y)) z) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 y)) z) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 y)) z) |
(*.f64 -1 z) |
(neg.f64 z) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 y)) z) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 y)) z) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 y)) z) |
(*.f64 -1 z) |
(neg.f64 z) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 y)) z) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 y)) z) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 y)) z) |
(*.f64 -1 z) |
(neg.f64 z) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(*.f64 (log.f64 y) x) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(*.f64 (log.f64 y) x) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(*.f64 -1 (+.f64 (*.f64 x (log.f64 (/.f64 1 y))) z)) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(*.f64 -1 (+.f64 (*.f64 x (log.f64 (/.f64 1 y))) z)) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(*.f64 -1 (+.f64 (*.f64 x (log.f64 (/.f64 1 y))) z)) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(*.f64 -1 (+.f64 (*.f64 x (log.f64 (/.f64 1 y))) z)) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(-.f64 (*.f64 (log.f64 -1) x) (+.f64 (*.f64 (log.f64 (/.f64 -1 y)) x) z)) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(-.f64 (*.f64 (log.f64 -1) x) (+.f64 (*.f64 (log.f64 (/.f64 -1 y)) x) z)) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(-.f64 (*.f64 (log.f64 -1) x) (+.f64 (*.f64 (log.f64 (/.f64 -1 y)) x) z)) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(-.f64 (*.f64 (log.f64 -1) x) (+.f64 (*.f64 (log.f64 (/.f64 -1 y)) x) z)) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(*.f64 (log.f64 y) x) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(*.f64 -1 z) |
(neg.f64 z) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(*.f64 -1 z) |
(neg.f64 z) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(-.f64 (*.f64 (log.f64 y) x) z) |
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 282 | 8 | 290 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 283 | 8 | 291 |
| Status | Error | Program |
|---|---|---|
| 0.5b | (fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)) (neg.f64 (+.f64 y z))) | |
| 31.3b | (fma.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 y)) 2) (*.f64 z z)) (/.f64 1 (fma.f64 x (log.f64 y) z)) (neg.f64 y)) | |
| 32.6b | (fma.f64 (sqrt.f64 (log.f64 y)) (*.f64 (sqrt.f64 (log.f64 y)) x) (neg.f64 (+.f64 y z))) | |
| 31.4b | (fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 y)) (neg.f64 (+.f64 y z))) | |
| 0.5b | (fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 y)) (neg.f64 (+.f64 y z))) | |
| 0.5b | (fma.f64 (cbrt.f64 (*.f64 x (log.f64 y))) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2) (neg.f64 (+.f64 y z))) | |
| ▶ | 0.1b | (-.f64 (fma.f64 (log.f64 y) x (neg.f64 y)) z) |
| 25.0b | (-.f64 (-.f64 (cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 3)) z) y) |
Compiled 4915 to 1486 computations (69.8% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (fma.f64 (log.f64 y) x (neg.f64 y)) z) |
| ✓ | 0.1b | (fma.f64 (log.f64 y) x (neg.f64 y)) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (fma.f64 (log.f64 y) x (neg.f64 y)) |
| 0.0ms | x | @ | inf | (fma.f64 (log.f64 y) x (neg.f64 y)) |
| 0.0ms | y | @ | 0 | (fma.f64 (log.f64 y) x (neg.f64 y)) |
| 0.0ms | y | @ | inf | (fma.f64 (log.f64 y) x (neg.f64 y)) |
| 0.0ms | y | @ | -inf | (fma.f64 (log.f64 y) x (neg.f64 y)) |
| 1× | batch-egg-rewrite |
| 771× | log1p-expm1-u_binary64 |
| 771× | expm1-log1p-u_binary64 |
| 91× | add-sqr-sqrt_binary64 |
| 88× | *-un-lft-identity_binary64 |
| 88× | pow1_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 21 |
| 1 | 170 | 17 |
| 2 | 2299 | 17 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (log.f64 y) x (neg.f64 y)) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 y)) z) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 (log.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 y) x) y)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (log.f64 y) x) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (log.f64 y) x) y)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (log.f64 y) x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (log.f64 y) x) 0) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (log.f64 y) x y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (log.f64 y) x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (log.f64 y) x y)) (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) x y)) 2) (cbrt.f64 (fma.f64 (log.f64 y) x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (log.f64 y) x y)) (sqrt.f64 (fma.f64 (log.f64 y) x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (log.f64 y) x) 3) (pow.f64 y 3)) (+.f64 (*.f64 (*.f64 (log.f64 y) x) (*.f64 (log.f64 y) x)) (-.f64 (*.f64 y y) (*.f64 (*.f64 (log.f64 y) x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (log.f64 y) x) (*.f64 (log.f64 y) x)) (*.f64 y y)) (fma.f64 (log.f64 y) x y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (log.f64 y) x y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) x y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (log.f64 y) x y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (log.f64 y) x y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (log.f64 y) x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (log.f64 y) x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (log.f64 y) x y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (log.f64 y) x y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (log.f64 y) x y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (log.f64 y) x y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (log.f64 y) x y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (log.f64 y) x y)) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (log.f64 y) x y) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (log.f64 y) x y) (*.f64 (neg.f64 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 (log.f64 y) x y) z) (fma.f64 (neg.f64 z) 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 (log.f64 y) x y) z) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 (log.f64 y) x y) z) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 y) x) (-.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 y) x) (+.f64 y (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 z) (fma.f64 (log.f64 y) x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (fma.f64 (log.f64 y) x y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (fma.f64 (log.f64 y) x y) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (fma.f64 (log.f64 y) x y) z)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 (log.f64 y) x y) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 (log.f64 y) x y) z)) 2) (cbrt.f64 (-.f64 (fma.f64 (log.f64 y) x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (fma.f64 (log.f64 y) x y) z)) (sqrt.f64 (-.f64 (fma.f64 (log.f64 y) x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 y) x y) 3) (pow.f64 z 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (log.f64 y) x y) 2) (*.f64 z (+.f64 (fma.f64 (log.f64 y) x y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 y) x y) 2) (*.f64 z z)) (/.f64 1 (+.f64 (fma.f64 (log.f64 y) x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 (log.f64 y) x y)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (fma.f64 (log.f64 y) x y)) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 (log.f64 y) x y) 2) (*.f64 z (+.f64 (fma.f64 (log.f64 y) x y) z))) (-.f64 (pow.f64 (fma.f64 (log.f64 y) x y) 3) (pow.f64 z 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (fma.f64 (log.f64 y) x y) z) (-.f64 (pow.f64 (fma.f64 (log.f64 y) x y) 2) (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 y) x y) 3) (pow.f64 z 3)) (+.f64 (pow.f64 (fma.f64 (log.f64 y) x y) 2) (*.f64 z (+.f64 (fma.f64 (log.f64 y) x y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 y) x y) 2) (*.f64 z z)) (+.f64 (fma.f64 (log.f64 y) x y) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 y) x y) 3) (pow.f64 z 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (log.f64 y) x y) 2) (*.f64 z (+.f64 (fma.f64 (log.f64 y) x y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 y) x y) 2) (*.f64 z z))) (neg.f64 (+.f64 (fma.f64 (log.f64 y) x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 (log.f64 y) x y) 3) (pow.f64 (neg.f64 z) 3)) (+.f64 (pow.f64 (fma.f64 (log.f64 y) x y) 2) (-.f64 (*.f64 (neg.f64 z) (neg.f64 z)) (*.f64 (fma.f64 (log.f64 y) x y) (neg.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 y) x y) 2) (*.f64 (neg.f64 z) (neg.f64 z))) (-.f64 (fma.f64 (log.f64 y) x y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (fma.f64 (log.f64 y) x y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (fma.f64 (log.f64 y) x y) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (fma.f64 (log.f64 y) x y) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (fma.f64 (log.f64 y) x y) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (fma.f64 (log.f64 y) x y) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (fma.f64 (log.f64 y) x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 (log.f64 y) x y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (fma.f64 (log.f64 y) x y) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (fma.f64 (log.f64 y) x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (log.f64 y) x y) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) x y)) 2) (cbrt.f64 (fma.f64 (log.f64 y) x y)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (log.f64 y) x y)) (sqrt.f64 (fma.f64 (log.f64 y) x y)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (fma.f64 (log.f64 y) x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (fma.f64 (log.f64 y) x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 (log.f64 y) x y) z)) 1)))))) |
| 1× | egg-herbie |
| 828× | fma-neg_binary64 |
| 438× | fma-def_binary64 |
| 369× | distribute-rgt-in_binary64 |
| 338× | sub-neg_binary64 |
| 314× | cancel-sign-sub-inv_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 561 |
| 1 | 83 | 561 |
| 2 | 177 | 561 |
| 3 | 471 | 561 |
| 4 | 1328 | 561 |
| 5 | 2956 | 561 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (log.f64 y) x) |
(-.f64 (*.f64 (log.f64 y) x) y) |
(-.f64 (*.f64 (log.f64 y) x) y) |
(-.f64 (*.f64 (log.f64 y) x) y) |
(*.f64 -1 y) |
(neg.f64 (+.f64 (*.f64 x (log.f64 (/.f64 1 y))) y)) |
(neg.f64 (+.f64 (*.f64 x (log.f64 (/.f64 1 y))) y)) |
(neg.f64 (+.f64 (*.f64 x (log.f64 (/.f64 1 y))) y)) |
(*.f64 -1 y) |
(-.f64 (*.f64 (log.f64 -1) x) (+.f64 (*.f64 (log.f64 (/.f64 -1 y)) x) y)) |
(-.f64 (*.f64 (log.f64 -1) x) (+.f64 (*.f64 (log.f64 (/.f64 -1 y)) x) y)) |
(-.f64 (*.f64 (log.f64 -1) x) (+.f64 (*.f64 (log.f64 (/.f64 -1 y)) x) y)) |
(*.f64 -1 y) |
(-.f64 (*.f64 (log.f64 y) x) y) |
(-.f64 (*.f64 (log.f64 y) x) y) |
(-.f64 (*.f64 (log.f64 y) x) y) |
(*.f64 (log.f64 y) x) |
(-.f64 (*.f64 (log.f64 y) x) y) |
(-.f64 (*.f64 (log.f64 y) x) y) |
(-.f64 (*.f64 (log.f64 y) x) y) |
(*.f64 (log.f64 y) x) |
(-.f64 (*.f64 (log.f64 y) x) y) |
(-.f64 (*.f64 (log.f64 y) x) y) |
(-.f64 (*.f64 (log.f64 y) x) y) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(*.f64 -1 y) |
(neg.f64 (+.f64 (*.f64 x (log.f64 (/.f64 1 y))) (+.f64 y z))) |
(neg.f64 (+.f64 (*.f64 x (log.f64 (/.f64 1 y))) (+.f64 y z))) |
(neg.f64 (+.f64 (*.f64 x (log.f64 (/.f64 1 y))) (+.f64 y z))) |
(*.f64 -1 y) |
(-.f64 (*.f64 (log.f64 -1) x) (+.f64 (*.f64 (log.f64 (/.f64 -1 y)) x) (+.f64 y z))) |
(-.f64 (*.f64 (log.f64 -1) x) (+.f64 (*.f64 (log.f64 (/.f64 -1 y)) x) (+.f64 y z))) |
(-.f64 (*.f64 (log.f64 -1) x) (+.f64 (*.f64 (log.f64 (/.f64 -1 y)) x) (+.f64 y z))) |
(*.f64 -1 (+.f64 y z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(*.f64 (log.f64 y) x) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(*.f64 (log.f64 y) x) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (*.f64 (log.f64 y) x) y) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(*.f64 -1 z) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(*.f64 -1 z) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
| Outputs |
|---|
(*.f64 (log.f64 y) x) |
(-.f64 (*.f64 (log.f64 y) x) y) |
(fma.f64 (log.f64 y) x (neg.f64 y)) |
(-.f64 (*.f64 (log.f64 y) x) y) |
(fma.f64 (log.f64 y) x (neg.f64 y)) |
(-.f64 (*.f64 (log.f64 y) x) y) |
(fma.f64 (log.f64 y) x (neg.f64 y)) |
(*.f64 -1 y) |
(neg.f64 y) |
(neg.f64 (+.f64 (*.f64 x (log.f64 (/.f64 1 y))) y)) |
(-.f64 (*.f64 (log.f64 y) x) y) |
(fma.f64 (log.f64 y) x (neg.f64 y)) |
(neg.f64 (+.f64 (*.f64 x (log.f64 (/.f64 1 y))) y)) |
(-.f64 (*.f64 (log.f64 y) x) y) |
(fma.f64 (log.f64 y) x (neg.f64 y)) |
(neg.f64 (+.f64 (*.f64 x (log.f64 (/.f64 1 y))) y)) |
(-.f64 (*.f64 (log.f64 y) x) y) |
(fma.f64 (log.f64 y) x (neg.f64 y)) |
(*.f64 -1 y) |
(neg.f64 y) |
(-.f64 (*.f64 (log.f64 -1) x) (+.f64 (*.f64 (log.f64 (/.f64 -1 y)) x) y)) |
(-.f64 (*.f64 (log.f64 y) x) y) |
(fma.f64 (log.f64 y) x (neg.f64 y)) |
(-.f64 (*.f64 (log.f64 -1) x) (+.f64 (*.f64 (log.f64 (/.f64 -1 y)) x) y)) |
(-.f64 (*.f64 (log.f64 y) x) y) |
(fma.f64 (log.f64 y) x (neg.f64 y)) |
(-.f64 (*.f64 (log.f64 -1) x) (+.f64 (*.f64 (log.f64 (/.f64 -1 y)) x) y)) |
(-.f64 (*.f64 (log.f64 y) x) y) |
(fma.f64 (log.f64 y) x (neg.f64 y)) |
(*.f64 -1 y) |
(neg.f64 y) |
(-.f64 (*.f64 (log.f64 y) x) y) |
(fma.f64 (log.f64 y) x (neg.f64 y)) |
(-.f64 (*.f64 (log.f64 y) x) y) |
(fma.f64 (log.f64 y) x (neg.f64 y)) |
(-.f64 (*.f64 (log.f64 y) x) y) |
(fma.f64 (log.f64 y) x (neg.f64 y)) |
(*.f64 (log.f64 y) x) |
(-.f64 (*.f64 (log.f64 y) x) y) |
(fma.f64 (log.f64 y) x (neg.f64 y)) |
(-.f64 (*.f64 (log.f64 y) x) y) |
(fma.f64 (log.f64 y) x (neg.f64 y)) |
(-.f64 (*.f64 (log.f64 y) x) y) |
(fma.f64 (log.f64 y) x (neg.f64 y)) |
(*.f64 (log.f64 y) x) |
(-.f64 (*.f64 (log.f64 y) x) y) |
(fma.f64 (log.f64 y) x (neg.f64 y)) |
(-.f64 (*.f64 (log.f64 y) x) y) |
(fma.f64 (log.f64 y) x (neg.f64 y)) |
(-.f64 (*.f64 (log.f64 y) x) y) |
(fma.f64 (log.f64 y) x (neg.f64 y)) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(fma.f64 (log.f64 y) x (neg.f64 z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(*.f64 -1 y) |
(neg.f64 y) |
(neg.f64 (+.f64 (*.f64 x (log.f64 (/.f64 1 y))) (+.f64 y z))) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(neg.f64 (+.f64 (*.f64 x (log.f64 (/.f64 1 y))) (+.f64 y z))) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(neg.f64 (+.f64 (*.f64 x (log.f64 (/.f64 1 y))) (+.f64 y z))) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(*.f64 -1 y) |
(neg.f64 y) |
(-.f64 (*.f64 (log.f64 -1) x) (+.f64 (*.f64 (log.f64 (/.f64 -1 y)) x) (+.f64 y z))) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (*.f64 (log.f64 -1) x) (+.f64 (*.f64 (log.f64 (/.f64 -1 y)) x) (+.f64 y z))) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (*.f64 (log.f64 -1) x) (+.f64 (*.f64 (log.f64 (/.f64 -1 y)) x) (+.f64 y z))) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(*.f64 -1 (+.f64 y z)) |
(neg.f64 (+.f64 y z)) |
(-.f64 (neg.f64 y) z) |
(-.f64 (neg.f64 z) y) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(*.f64 (log.f64 y) x) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(*.f64 (log.f64 y) x) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (*.f64 (log.f64 y) x) y) |
(fma.f64 (log.f64 y) x (neg.f64 y)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(*.f64 -1 z) |
(neg.f64 z) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(*.f64 -1 z) |
(neg.f64 z) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 79 | 0 | 79 |
| Fresh | 0 | 7 | 7 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 79 | 8 | 87 |
| Status | Error | Program |
|---|---|---|
| 0.5b | (fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)) (neg.f64 (+.f64 y z))) | |
| 31.3b | (fma.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 y)) 2) (*.f64 z z)) (/.f64 1 (fma.f64 x (log.f64 y) z)) (neg.f64 y)) | |
| 32.6b | (fma.f64 (sqrt.f64 (log.f64 y)) (*.f64 (sqrt.f64 (log.f64 y)) x) (neg.f64 (+.f64 y z))) | |
| 31.4b | (fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 y)) (neg.f64 (+.f64 y z))) | |
| ▶ | 0.5b | (fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 y)) (neg.f64 (+.f64 y z))) |
| 0.5b | (fma.f64 (cbrt.f64 (*.f64 x (log.f64 y))) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2) (neg.f64 (+.f64 y z))) | |
| ✓ | 0.1b | (-.f64 (fma.f64 (log.f64 y) x (neg.f64 y)) z) |
| 25.0b | (-.f64 (-.f64 (cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 3)) z) y) |
Compiled 1263 to 464 computations (63.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 y)) (neg.f64 (+.f64 y z))) |
| ✓ | 0.4b | (*.f64 (cbrt.f64 x) (log.f64 y)) |
| ✓ | 0.5b | (pow.f64 (cbrt.f64 x) 2) |
| ✓ | 0.6b | (cbrt.f64 x) |
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | x | @ | -inf | (fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 y)) (neg.f64 (+.f64 y z))) |
| 2.0ms | x | @ | -inf | (cbrt.f64 x) |
| 2.0ms | y | @ | 0 | (*.f64 (cbrt.f64 x) (log.f64 y)) |
| 2.0ms | x | @ | -inf | (pow.f64 (cbrt.f64 x) 2) |
| 1.0ms | x | @ | -inf | (*.f64 (cbrt.f64 x) (log.f64 y)) |
| 1× | batch-egg-rewrite |
| 797× | prod-diff_binary64 |
| 206× | egg-rr |
| 202× | log1p-udef_binary64 |
| 128× | add-sqr-sqrt_binary64 |
| 123× | pow1_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 39 |
| 1 | 254 | 29 |
| 2 | 3223 | 29 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 x) |
(pow.f64 (cbrt.f64 x) 2) |
(*.f64 (cbrt.f64 x) (log.f64 y)) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 y)) (neg.f64 (+.f64 y z))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/6) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 x) 1/3) (pow.f64 (sqrt.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (*.f64 x (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/6) (*.f64 (pow.f64 x 1/6) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 x))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cbrt.f64 x) (log.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 x) (log.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cbrt.f64 x) (log.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (log.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cbrt.f64 x) (log.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cbrt.f64 x) (log.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 y (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 y (cbrt.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 x) (log.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 x (pow.f64 (log.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (log.f64 y) 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 y (cbrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 x) (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cbrt.f64 x) (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cbrt.f64 x) (log.f64 y))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 y z) (*.f64 x (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 y z) (*.f64 x (log.f64 y))) (fma.f64 -1 (+.f64 y z) (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 y z) (*.f64 x (log.f64 y))) (fma.f64 1 (+.f64 y z) (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 y z) (*.f64 x (log.f64 y))) (fma.f64 (+.f64 y z) 1 (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 y z) (*.f64 x (log.f64 y))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 y z)) 2)) (cbrt.f64 (+.f64 y z)) (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 y z) (*.f64 x (log.f64 y))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 y z))) (pow.f64 (cbrt.f64 (+.f64 y z)) 2) (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 y z) (*.f64 x (log.f64 y))) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 y z))) (sqrt.f64 (+.f64 y z)) (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 y z) (*.f64 x (log.f64 y))) (fma.f64 (neg.f64 (neg.f64 (sqrt.f64 (+.f64 y z)))) (sqrt.f64 (+.f64 y z)) (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 y z) (*.f64 x (log.f64 y))) (fma.f64 (+.f64 y z) -1 (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 y z) (*.f64 x (log.f64 y))) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 y z))) (neg.f64 (sqrt.f64 (+.f64 y z))) (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (log.f64 y)) (+.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (log.f64 y)) 1) (+.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 x (log.f64 y)) (neg.f64 y)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (log.f64 y) (+.f64 y z)) (fma.f64 -1 (+.f64 y z) (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (log.f64 y) (+.f64 y z)) (fma.f64 1 (+.f64 y z) (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (log.f64 y) (+.f64 y z)) (fma.f64 (+.f64 y z) 1 (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (log.f64 y) (+.f64 y z)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 y z)) 2)) (cbrt.f64 (+.f64 y z)) (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (log.f64 y) (+.f64 y z)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 y z))) (pow.f64 (cbrt.f64 (+.f64 y z)) 2) (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (log.f64 y) (+.f64 y z)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 y z))) (sqrt.f64 (+.f64 y z)) (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (log.f64 y) (+.f64 y z)) (fma.f64 (neg.f64 (neg.f64 (sqrt.f64 (+.f64 y z)))) (sqrt.f64 (+.f64 y z)) (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (log.f64 y) (+.f64 y z)) (fma.f64 (+.f64 y z) -1 (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (log.f64 y) (+.f64 y z)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 y z))) (neg.f64 (sqrt.f64 (+.f64 y z))) (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 x) (log.f64 y))) (+.f64 y z)) (fma.f64 -1 (+.f64 y z) (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 x) (log.f64 y))) (+.f64 y z)) (fma.f64 1 (+.f64 y z) (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 x) (log.f64 y))) (+.f64 y z)) (fma.f64 (+.f64 y z) 1 (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 x) (log.f64 y))) (+.f64 y z)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 y z)) 2)) (cbrt.f64 (+.f64 y z)) (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 x) 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(2) ((x +.f64 (fma.f64 (*.f64 (cbrt.f64 x) (log.f64 y)) (pow.f64 (cbrt.f64 x) 2) (+.f64 y z)) (fma.f64 -1 (+.f64 y z) (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 (cbrt.f64 x) (log.f64 y)) (pow.f64 (cbrt.f64 x) 2) (+.f64 y z)) (fma.f64 1 (+.f64 y z) (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 (cbrt.f64 x) (log.f64 y)) (pow.f64 (cbrt.f64 x) 2) (+.f64 y z)) (fma.f64 (+.f64 y z) 1 (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 (cbrt.f64 x) (log.f64 y)) (pow.f64 (cbrt.f64 x) 2) (+.f64 y z)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 y z)) 2)) (cbrt.f64 (+.f64 y z)) (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 (cbrt.f64 x) (log.f64 y)) (pow.f64 (cbrt.f64 x) 2) (+.f64 y z)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 y z))) (pow.f64 (cbrt.f64 (+.f64 y z)) 2) (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 (cbrt.f64 x) (log.f64 y)) 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(#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (+.f64 y z) (*.f64 x (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 y z) (*.f64 x (log.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (+.f64 y z) (*.f64 x (log.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (+.f64 y z) (*.f64 x (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (+.f64 y z) (*.f64 x (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (+.f64 y z) (*.f64 x (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 y z) (*.f64 x (log.f64 y)))) 1)))))) |
| 1× | egg-herbie |
| 802× | fma-def_binary64 |
| 294× | fma-neg_binary64 |
| 254× | unsub-neg_binary64 |
| 240× | cancel-sign-sub-inv_binary64 |
| 215× | sub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 360 |
| 1 | 92 | 360 |
| 2 | 227 | 360 |
| 3 | 647 | 360 |
| 4 | 2096 | 360 |
| 5 | 4813 | 360 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (log.f64 y) (pow.f64 x 1/3)) |
(*.f64 (log.f64 y) (pow.f64 x 1/3)) |
(*.f64 (log.f64 y) (pow.f64 x 1/3)) |
(*.f64 (log.f64 y) (pow.f64 x 1/3)) |
(*.f64 -1 (*.f64 (pow.f64 x 1/3) (log.f64 (/.f64 1 y)))) |
(*.f64 -1 (*.f64 (pow.f64 x 1/3) (log.f64 (/.f64 1 y)))) |
(*.f64 -1 (*.f64 (pow.f64 x 1/3) (log.f64 (/.f64 1 y)))) |
(*.f64 -1 (*.f64 (pow.f64 x 1/3) (log.f64 (/.f64 1 y)))) |
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (pow.f64 x 1/3)) |
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (pow.f64 x 1/3)) |
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (pow.f64 x 1/3)) |
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (pow.f64 x 1/3)) |
(*.f64 -1 (+.f64 y z)) |
(*.f64 -1 (+.f64 y z)) |
(*.f64 -1 (+.f64 y z)) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(*.f64 -1 y) |
(neg.f64 (+.f64 (*.f64 x (log.f64 (/.f64 1 y))) (+.f64 y z))) |
(neg.f64 (+.f64 (*.f64 x (log.f64 (/.f64 1 y))) (+.f64 y z))) |
(neg.f64 (+.f64 (*.f64 x (log.f64 (/.f64 1 y))) (+.f64 y z))) |
(*.f64 -1 y) |
(-.f64 (*.f64 (log.f64 -1) x) (+.f64 (*.f64 (log.f64 (/.f64 -1 y)) x) (+.f64 y z))) |
(-.f64 (*.f64 (log.f64 -1) x) (+.f64 (*.f64 (log.f64 (/.f64 -1 y)) x) (+.f64 y z))) |
(-.f64 (*.f64 (log.f64 -1) x) (+.f64 (*.f64 (log.f64 (/.f64 -1 y)) x) (+.f64 y z))) |
(-.f64 (*.f64 (log.f64 y) x) y) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(*.f64 -1 z) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(*.f64 -1 z) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
| Outputs |
|---|
(*.f64 (log.f64 y) (pow.f64 x 1/3)) |
(*.f64 (log.f64 y) (cbrt.f64 x)) |
(*.f64 (log.f64 y) (pow.f64 x 1/3)) |
(*.f64 (log.f64 y) (cbrt.f64 x)) |
(*.f64 (log.f64 y) (pow.f64 x 1/3)) |
(*.f64 (log.f64 y) (cbrt.f64 x)) |
(*.f64 (log.f64 y) (pow.f64 x 1/3)) |
(*.f64 (log.f64 y) (cbrt.f64 x)) |
(*.f64 -1 (*.f64 (pow.f64 x 1/3) (log.f64 (/.f64 1 y)))) |
(*.f64 (log.f64 y) (cbrt.f64 x)) |
(*.f64 -1 (*.f64 (pow.f64 x 1/3) (log.f64 (/.f64 1 y)))) |
(*.f64 (log.f64 y) (cbrt.f64 x)) |
(*.f64 -1 (*.f64 (pow.f64 x 1/3) (log.f64 (/.f64 1 y)))) |
(*.f64 (log.f64 y) (cbrt.f64 x)) |
(*.f64 -1 (*.f64 (pow.f64 x 1/3) (log.f64 (/.f64 1 y)))) |
(*.f64 (log.f64 y) (cbrt.f64 x)) |
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (pow.f64 x 1/3)) |
(*.f64 (log.f64 y) (cbrt.f64 x)) |
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (pow.f64 x 1/3)) |
(*.f64 (log.f64 y) (cbrt.f64 x)) |
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (pow.f64 x 1/3)) |
(*.f64 (log.f64 y) (cbrt.f64 x)) |
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (pow.f64 x 1/3)) |
(*.f64 (log.f64 y) (cbrt.f64 x)) |
(*.f64 -1 (+.f64 y z)) |
(neg.f64 (+.f64 y z)) |
(-.f64 (neg.f64 y) z) |
(*.f64 -1 (+.f64 y z)) |
(neg.f64 (+.f64 y z)) |
(-.f64 (neg.f64 y) z) |
(*.f64 -1 (+.f64 y z)) |
(neg.f64 (+.f64 y z)) |
(-.f64 (neg.f64 y) z) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(fma.f64 (log.f64 y) x (neg.f64 z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(fma.f64 (log.f64 y) x (neg.f64 (+.f64 y z))) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(fma.f64 (log.f64 y) x (neg.f64 (+.f64 y z))) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(fma.f64 (log.f64 y) x (neg.f64 (+.f64 y z))) |
(*.f64 -1 y) |
(neg.f64 y) |
(neg.f64 (+.f64 (*.f64 x (log.f64 (/.f64 1 y))) (+.f64 y z))) |
(fma.f64 (log.f64 y) x (neg.f64 (+.f64 y z))) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(neg.f64 (+.f64 (*.f64 x (log.f64 (/.f64 1 y))) (+.f64 y z))) |
(fma.f64 (log.f64 y) x (neg.f64 (+.f64 y z))) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(neg.f64 (+.f64 (*.f64 x (log.f64 (/.f64 1 y))) (+.f64 y z))) |
(fma.f64 (log.f64 y) x (neg.f64 (+.f64 y z))) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(*.f64 -1 y) |
(neg.f64 y) |
(-.f64 (*.f64 (log.f64 -1) x) (+.f64 (*.f64 (log.f64 (/.f64 -1 y)) x) (+.f64 y z))) |
(fma.f64 (log.f64 y) x (neg.f64 (+.f64 y z))) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (*.f64 (log.f64 -1) x) (+.f64 (*.f64 (log.f64 (/.f64 -1 y)) x) (+.f64 y z))) |
(fma.f64 (log.f64 y) x (neg.f64 (+.f64 y z))) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (*.f64 (log.f64 -1) x) (+.f64 (*.f64 (log.f64 (/.f64 -1 y)) x) (+.f64 y z))) |
(fma.f64 (log.f64 y) x (neg.f64 (+.f64 y z))) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (*.f64 (log.f64 y) x) y) |
(fma.f64 (log.f64 y) x (neg.f64 y)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(fma.f64 (log.f64 y) x (neg.f64 (+.f64 y z))) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(fma.f64 (log.f64 y) x (neg.f64 (+.f64 y z))) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(fma.f64 (log.f64 y) x (neg.f64 (+.f64 y z))) |
(*.f64 -1 z) |
(neg.f64 z) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(fma.f64 (log.f64 y) x (neg.f64 (+.f64 y z))) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(fma.f64 (log.f64 y) x (neg.f64 (+.f64 y z))) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(fma.f64 (log.f64 y) x (neg.f64 (+.f64 y z))) |
(*.f64 -1 z) |
(neg.f64 z) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(fma.f64 (log.f64 y) x (neg.f64 (+.f64 y z))) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(fma.f64 (log.f64 y) x (neg.f64 (+.f64 y z))) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(fma.f64 (log.f64 y) x (neg.f64 (+.f64 y z))) |
11 alts after pruning (9 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 300 | 3 | 303 |
| Fresh | 0 | 6 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 300 | 11 | 311 |
| Status | Error | Program |
|---|---|---|
| 1.2b | (fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 x (pow.f64 (log.f64 y) 3))) (neg.f64 (+.f64 y z))) | |
| 31.3b | (fma.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 y)) 2) (*.f64 z z)) (/.f64 1 (fma.f64 x (log.f64 y) z)) (neg.f64 y)) | |
| 30.0b | (fma.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (sqrt.f64 (*.f64 (cbrt.f64 x) (log.f64 y))) 2) (neg.f64 (+.f64 y z))) | |
| 32.6b | (fma.f64 (sqrt.f64 (log.f64 y)) (*.f64 (sqrt.f64 (log.f64 y)) x) (neg.f64 (+.f64 y z))) | |
| 0.5b | (fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)) (neg.f64 (+.f64 y z))) | |
| 31.4b | (fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 y)) (neg.f64 (+.f64 y z))) | |
| 0.6b | (fma.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 x))) (*.f64 (cbrt.f64 x) (log.f64 y)) (neg.f64 (+.f64 y z))) | |
| ✓ | 0.5b | (fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 y)) (neg.f64 (+.f64 y z))) |
| ▶ | 0.5b | (fma.f64 (cbrt.f64 (*.f64 x (log.f64 y))) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2) (neg.f64 (+.f64 y z))) |
| ✓ | 0.1b | (-.f64 (fma.f64 (log.f64 y) x (neg.f64 y)) z) |
| 25.0b | (-.f64 (-.f64 (cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 3)) z) y) |
Compiled 9220 to 2652 computations (71.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (fma.f64 (cbrt.f64 (*.f64 x (log.f64 y))) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2) (neg.f64 (+.f64 y z))) |
| 0.2b | (*.f64 x (log.f64 y)) | |
| ✓ | 0.5b | (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2) |
| ✓ | 0.6b | (cbrt.f64 (*.f64 x (log.f64 y))) |
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | -inf | (cbrt.f64 (*.f64 x (log.f64 y))) |
| 2.0ms | y | @ | inf | (cbrt.f64 (*.f64 x (log.f64 y))) |
| 2.0ms | y | @ | 0 | (cbrt.f64 (*.f64 x (log.f64 y))) |
| 2.0ms | x | @ | -inf | (fma.f64 (cbrt.f64 (*.f64 x (log.f64 y))) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2) (neg.f64 (+.f64 y z))) |
| 1.0ms | z | @ | 0 | (fma.f64 (cbrt.f64 (*.f64 x (log.f64 y))) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2) (neg.f64 (+.f64 y z))) |
| 1× | batch-egg-rewrite |
| 528× | log-prod_binary64 |
| 287× | fma-def_binary64 |
| 200× | expm1-udef_binary64 |
| 200× | log1p-udef_binary64 |
| 178× | fma-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 46 |
| 1 | 255 | 31 |
| 2 | 3227 | 29 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (*.f64 x (log.f64 y))) |
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2) |
(fma.f64 (cbrt.f64 (*.f64 x (log.f64 y))) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2) (neg.f64 (+.f64 y z))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (*.f64 x (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 x (log.f64 y))))) (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 x (log.f64 y))))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 x (log.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (*.f64 x (log.f64 y)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (*.f64 x (log.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 x (log.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 x (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 y)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 y)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (log.f64 y)) 1/6) (pow.f64 (*.f64 x (log.f64 y)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 y)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 x (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 x (log.f64 y))) 1/3) (pow.f64 (sqrt.f64 (*.f64 x (log.f64 y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (log.f64 y)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (log.f64 y)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (*.f64 x (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 x (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 x (log.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 x (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (log.f64 y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (log.f64 y)))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2))) (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (log.f64 y))) (cbrt.f64 (*.f64 x (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 y)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 y)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 y)))) (cbrt.f64 (*.f64 x (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (*.f64 x (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (log.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (log.f64 y))) (pow.f64 (*.f64 x (log.f64 y)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (log.f64 y)) 1/6) (*.f64 (pow.f64 (*.f64 x (log.f64 y)) 1/6) (cbrt.f64 (*.f64 x (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 x (log.f64 y))) (cbrt.f64 x)) (cbrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 x (log.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 y)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2/3 (log.f64 (*.f64 x (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2/3 (log.f64 (*.f64 x (log.f64 y)))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (log.f64 y)) (+.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 y z) (*.f64 x (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x (log.f64 y) (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (log.f64 y) (neg.f64 y)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 y x) (exp.f64 (+.f64 y z)))) (cbrt.f64 (*.f64 (pow.f64 y x) (exp.f64 (+.f64 y z)))))) (log.f64 (cbrt.f64 (*.f64 (pow.f64 y x) (exp.f64 (+.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (*.f64 (pow.f64 y x) (exp.f64 (+.f64 y z))))) (log.f64 (sqrt.f64 (*.f64 (pow.f64 y x) (exp.f64 (+.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (log.f64 y)) (+.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (log.f64 y) (+.f64 y z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 x (log.f64 y) 0) (+.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (log.f64 y) (+.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (log.f64 y) (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (+.f64 y z))) (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (+.f64 y z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (+.f64 y z))) 2) (cbrt.f64 (fma.f64 x (log.f64 y) (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (log.f64 y) (+.f64 y z))) (sqrt.f64 (fma.f64 x (log.f64 y) (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (log.f64 y)) 3) (pow.f64 (+.f64 y z) 3)) (+.f64 (pow.f64 (*.f64 x (log.f64 y)) 2) (-.f64 (pow.f64 (+.f64 y z) 2) (*.f64 (*.f64 x (log.f64 y)) (+.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 y)) 2) (pow.f64 (+.f64 y z) 2)) (fma.f64 x (log.f64 y) (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (log.f64 y) (+.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (log.f64 y) (+.f64 y z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (+.f64 y z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (log.f64 y) (+.f64 y z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (log.f64 y) (+.f64 y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 y x) (exp.f64 (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (log.f64 y) (+.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (pow.f64 y x) (exp.f64 (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (-.f64 (pow.f64 y x) 1)) (exp.f64 (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (pow.f64 y x) (+.f64 1 (expm1.f64 (+.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (-.f64 (pow.f64 y x) 1)) (+.f64 1 (expm1.f64 (+.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (-.f64 (pow.f64 y x) 1)) (exp.f64 (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 y x) (+.f64 1 (expm1.f64 (+.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (-.f64 (pow.f64 y x) 1)) (+.f64 1 (expm1.f64 (+.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (+.f64 y z)) (pow.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 y z))) (pow.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (+.f64 y z)) (+.f64 1 (-.f64 (pow.f64 y x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 y z))) (+.f64 1 (-.f64 (pow.f64 y x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (log.f64 y) (+.f64 y z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (log.f64 y) (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (log.f64 y) (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (log.f64 y) (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (log.f64 y) (+.f64 y z))) 1)))))) |
| 1× | egg-herbie |
| 726× | associate-*l*_binary64 |
| 637× | associate-*r*_binary64 |
| 258× | fma-def_binary64 |
| 241× | distribute-rgt-in_binary64 |
| 200× | distribute-lft-in_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 596 |
| 1 | 135 | 588 |
| 2 | 311 | 588 |
| 3 | 1119 | 588 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (*.f64 (log.f64 y) x) 1/3) |
(pow.f64 (*.f64 (log.f64 y) x) 1/3) |
(pow.f64 (*.f64 (log.f64 y) x) 1/3) |
(pow.f64 (*.f64 (log.f64 y) x) 1/3) |
(*.f64 (cbrt.f64 -1) (pow.f64 (*.f64 x (log.f64 (/.f64 1 y))) 1/3)) |
(*.f64 (cbrt.f64 -1) (pow.f64 (*.f64 x (log.f64 (/.f64 1 y))) 1/3)) |
(*.f64 (cbrt.f64 -1) (pow.f64 (*.f64 x (log.f64 (/.f64 1 y))) 1/3)) |
(*.f64 (cbrt.f64 -1) (pow.f64 (*.f64 x (log.f64 (/.f64 1 y))) 1/3)) |
(pow.f64 (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) x) 1/3) |
(pow.f64 (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) x) 1/3) |
(pow.f64 (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) x) 1/3) |
(pow.f64 (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) x) 1/3) |
(pow.f64 (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)) 1/3) |
(pow.f64 (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)) 1/3) |
(pow.f64 (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)) 1/3) |
(pow.f64 (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)) 1/3) |
(*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (*.f64 (pow.f64 x 2) (pow.f64 (log.f64 (/.f64 1 y)) 2)) 1/3)) |
(*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (*.f64 (pow.f64 x 2) (pow.f64 (log.f64 (/.f64 1 y)) 2)) 1/3)) |
(*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (*.f64 (pow.f64 x 2) (pow.f64 (log.f64 (/.f64 1 y)) 2)) 1/3)) |
(*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (*.f64 (pow.f64 x 2) (pow.f64 (log.f64 (/.f64 1 y)) 2)) 1/3)) |
(pow.f64 (*.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 2) (pow.f64 x 2)) 1/3) |
(pow.f64 (*.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 2) (pow.f64 x 2)) 1/3) |
(pow.f64 (*.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 2) (pow.f64 x 2)) 1/3) |
(pow.f64 (*.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 2) (pow.f64 x 2)) 1/3) |
(*.f64 -1 (+.f64 y z)) |
(*.f64 -1 (+.f64 y z)) |
(*.f64 -1 (+.f64 y z)) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(*.f64 -1 y) |
(neg.f64 (+.f64 (*.f64 x (log.f64 (/.f64 1 y))) (+.f64 y z))) |
(neg.f64 (+.f64 (*.f64 x (log.f64 (/.f64 1 y))) (+.f64 y z))) |
(neg.f64 (+.f64 (*.f64 x (log.f64 (/.f64 1 y))) (+.f64 y z))) |
(*.f64 -1 y) |
(-.f64 (*.f64 (log.f64 -1) x) (+.f64 (*.f64 (log.f64 (/.f64 -1 y)) x) (+.f64 y z))) |
(-.f64 (*.f64 (log.f64 -1) x) (+.f64 (*.f64 (log.f64 (/.f64 -1 y)) x) (+.f64 y z))) |
(-.f64 (*.f64 (log.f64 -1) x) (+.f64 (*.f64 (log.f64 (/.f64 -1 y)) x) (+.f64 y z))) |
(-.f64 (*.f64 (log.f64 y) x) y) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(*.f64 -1 z) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(*.f64 -1 z) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
| Outputs |
|---|
(pow.f64 (*.f64 (log.f64 y) x) 1/3) |
(cbrt.f64 (*.f64 (log.f64 y) x)) |
(pow.f64 (*.f64 (log.f64 y) x) 1/3) |
(cbrt.f64 (*.f64 (log.f64 y) x)) |
(pow.f64 (*.f64 (log.f64 y) x) 1/3) |
(cbrt.f64 (*.f64 (log.f64 y) x)) |
(pow.f64 (*.f64 (log.f64 y) x) 1/3) |
(cbrt.f64 (*.f64 (log.f64 y) x)) |
(*.f64 (cbrt.f64 -1) (pow.f64 (*.f64 x (log.f64 (/.f64 1 y))) 1/3)) |
(*.f64 (cbrt.f64 -1) (cbrt.f64 (*.f64 x (neg.f64 (log.f64 y))))) |
(*.f64 (cbrt.f64 -1) (cbrt.f64 (*.f64 (log.f64 y) (neg.f64 x)))) |
(*.f64 (cbrt.f64 -1) (pow.f64 (*.f64 x (log.f64 (/.f64 1 y))) 1/3)) |
(*.f64 (cbrt.f64 -1) (cbrt.f64 (*.f64 x (neg.f64 (log.f64 y))))) |
(*.f64 (cbrt.f64 -1) (cbrt.f64 (*.f64 (log.f64 y) (neg.f64 x)))) |
(*.f64 (cbrt.f64 -1) (pow.f64 (*.f64 x (log.f64 (/.f64 1 y))) 1/3)) |
(*.f64 (cbrt.f64 -1) (cbrt.f64 (*.f64 x (neg.f64 (log.f64 y))))) |
(*.f64 (cbrt.f64 -1) (cbrt.f64 (*.f64 (log.f64 y) (neg.f64 x)))) |
(*.f64 (cbrt.f64 -1) (pow.f64 (*.f64 x (log.f64 (/.f64 1 y))) 1/3)) |
(*.f64 (cbrt.f64 -1) (cbrt.f64 (*.f64 x (neg.f64 (log.f64 y))))) |
(*.f64 (cbrt.f64 -1) (cbrt.f64 (*.f64 (log.f64 y) (neg.f64 x)))) |
(pow.f64 (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) x) 1/3) |
(cbrt.f64 (*.f64 (log.f64 y) x)) |
(pow.f64 (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) x) 1/3) |
(cbrt.f64 (*.f64 (log.f64 y) x)) |
(pow.f64 (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) x) 1/3) |
(cbrt.f64 (*.f64 (log.f64 y) x)) |
(pow.f64 (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) x) 1/3) |
(cbrt.f64 (*.f64 (log.f64 y) x)) |
(pow.f64 (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)) 1/3) |
(cbrt.f64 (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 x x))) |
(cbrt.f64 (*.f64 x (*.f64 x (pow.f64 (log.f64 y) 2)))) |
(pow.f64 (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)) 1/3) |
(cbrt.f64 (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 x x))) |
(cbrt.f64 (*.f64 x (*.f64 x (pow.f64 (log.f64 y) 2)))) |
(pow.f64 (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)) 1/3) |
(cbrt.f64 (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 x x))) |
(cbrt.f64 (*.f64 x (*.f64 x (pow.f64 (log.f64 y) 2)))) |
(pow.f64 (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)) 1/3) |
(cbrt.f64 (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 x x))) |
(cbrt.f64 (*.f64 x (*.f64 x (pow.f64 (log.f64 y) 2)))) |
(*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (*.f64 (pow.f64 x 2) (pow.f64 (log.f64 (/.f64 1 y)) 2)) 1/3)) |
(*.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 (*.f64 (*.f64 x x) (pow.f64 (neg.f64 (log.f64 y)) 2)))) |
(*.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 x x)))) |
(*.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 (*.f64 x (*.f64 x (pow.f64 (log.f64 y) 2))))) |
(*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (*.f64 (pow.f64 x 2) (pow.f64 (log.f64 (/.f64 1 y)) 2)) 1/3)) |
(*.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 (*.f64 (*.f64 x x) (pow.f64 (neg.f64 (log.f64 y)) 2)))) |
(*.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 x x)))) |
(*.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 (*.f64 x (*.f64 x (pow.f64 (log.f64 y) 2))))) |
(*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (*.f64 (pow.f64 x 2) (pow.f64 (log.f64 (/.f64 1 y)) 2)) 1/3)) |
(*.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 (*.f64 (*.f64 x x) (pow.f64 (neg.f64 (log.f64 y)) 2)))) |
(*.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 x x)))) |
(*.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 (*.f64 x (*.f64 x (pow.f64 (log.f64 y) 2))))) |
(*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (*.f64 (pow.f64 x 2) (pow.f64 (log.f64 (/.f64 1 y)) 2)) 1/3)) |
(*.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 (*.f64 (*.f64 x x) (pow.f64 (neg.f64 (log.f64 y)) 2)))) |
(*.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 x x)))) |
(*.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 (*.f64 x (*.f64 x (pow.f64 (log.f64 y) 2))))) |
(pow.f64 (*.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 2) (pow.f64 x 2)) 1/3) |
(cbrt.f64 (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 x x))) |
(cbrt.f64 (*.f64 x (*.f64 x (pow.f64 (log.f64 y) 2)))) |
(pow.f64 (*.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 2) (pow.f64 x 2)) 1/3) |
(cbrt.f64 (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 x x))) |
(cbrt.f64 (*.f64 x (*.f64 x (pow.f64 (log.f64 y) 2)))) |
(pow.f64 (*.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 2) (pow.f64 x 2)) 1/3) |
(cbrt.f64 (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 x x))) |
(cbrt.f64 (*.f64 x (*.f64 x (pow.f64 (log.f64 y) 2)))) |
(pow.f64 (*.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 2) (pow.f64 x 2)) 1/3) |
(cbrt.f64 (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 x x))) |
(cbrt.f64 (*.f64 x (*.f64 x (pow.f64 (log.f64 y) 2)))) |
(*.f64 -1 (+.f64 y z)) |
(neg.f64 (+.f64 y z)) |
(-.f64 (neg.f64 y) z) |
(-.f64 (neg.f64 z) y) |
(*.f64 -1 (+.f64 y z)) |
(neg.f64 (+.f64 y z)) |
(-.f64 (neg.f64 y) z) |
(-.f64 (neg.f64 z) y) |
(*.f64 -1 (+.f64 y z)) |
(neg.f64 (+.f64 y z)) |
(-.f64 (neg.f64 y) z) |
(-.f64 (neg.f64 z) y) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(*.f64 -1 y) |
(neg.f64 y) |
(neg.f64 (+.f64 (*.f64 x (log.f64 (/.f64 1 y))) (+.f64 y z))) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(neg.f64 (+.f64 (*.f64 x (log.f64 (/.f64 1 y))) (+.f64 y z))) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(neg.f64 (+.f64 (*.f64 x (log.f64 (/.f64 1 y))) (+.f64 y z))) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(*.f64 -1 y) |
(neg.f64 y) |
(-.f64 (*.f64 (log.f64 -1) x) (+.f64 (*.f64 (log.f64 (/.f64 -1 y)) x) (+.f64 y z))) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (*.f64 (log.f64 -1) x) (+.f64 (*.f64 (log.f64 (/.f64 -1 y)) x) (+.f64 y z))) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (*.f64 (log.f64 -1) x) (+.f64 (*.f64 (log.f64 (/.f64 -1 y)) x) (+.f64 y z))) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (*.f64 (log.f64 y) x) y) |
(fma.f64 (log.f64 y) x (neg.f64 y)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(*.f64 -1 z) |
(neg.f64 z) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(*.f64 -1 z) |
(neg.f64 z) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
11 alts after pruning (8 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 184 | 0 | 184 |
| Fresh | 0 | 8 | 8 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 184 | 11 | 195 |
| Status | Error | Program |
|---|---|---|
| 1.2b | (fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 x (pow.f64 (log.f64 y) 3))) (neg.f64 (+.f64 y z))) | |
| 31.3b | (fma.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 y)) 2) (*.f64 z z)) (/.f64 1 (fma.f64 x (log.f64 y) z)) (neg.f64 y)) | |
| 30.0b | (fma.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (sqrt.f64 (*.f64 (cbrt.f64 x) (log.f64 y))) 2) (neg.f64 (+.f64 y z))) | |
| 32.6b | (fma.f64 (sqrt.f64 (log.f64 y)) (*.f64 (sqrt.f64 (log.f64 y)) x) (neg.f64 (+.f64 y z))) | |
| 0.5b | (fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)) (neg.f64 (+.f64 y z))) | |
| 31.4b | (fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 y)) (neg.f64 (+.f64 y z))) | |
| 0.6b | (fma.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 x))) (*.f64 (cbrt.f64 x) (log.f64 y)) (neg.f64 (+.f64 y z))) | |
| ✓ | 0.5b | (fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 y)) (neg.f64 (+.f64 y z))) |
| ✓ | 0.5b | (fma.f64 (cbrt.f64 (*.f64 x (log.f64 y))) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2) (neg.f64 (+.f64 y z))) |
| ✓ | 0.1b | (-.f64 (fma.f64 (log.f64 y) x (neg.f64 y)) z) |
| 25.0b | (-.f64 (-.f64 (cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 3)) z) y) |
Compiled 3640 to 1144 computations (68.6% saved)
Total 0.1b remaining (76.9%)
Threshold costs 0.1b (76.9%)
Compiled 897 to 305 computations (66% saved)
| 1× | egg-herbie |
| 10× | +-commutative_binary64 |
| 8× | *-commutative_binary64 |
| 8× | sub-neg_binary64 |
| 7× | neg-sub0_binary64 |
| 7× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 17 |
| 1 | 23 | 17 |
| 2 | 42 | 17 |
| 3 | 59 | 17 |
| 4 | 68 | 17 |
| 5 | 71 | 17 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (neg.f64 (+.f64 (*.f64 x (log.f64 (/.f64 1 y))) y)) z) |
| Outputs |
|---|
(-.f64 (neg.f64 (+.f64 (*.f64 x (log.f64 (/.f64 1 y))) y)) z) |
(-.f64 (neg.f64 (+.f64 y (*.f64 x (log.f64 (/.f64 1 y))))) z) |
(-.f64 (-.f64 (*.f64 x (neg.f64 (log.f64 (/.f64 1 y)))) y) z) |
| 1× | fuel |
Compiled 226 to 144 computations (36.3% saved)
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