Time bar (total: 9.5s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 0% | 99.9% | 0.1% | 1 |
| 0% | 50% | 50% | 2 |
| 0% | 50% | 50% | 3 |
| 0% | 50% | 50% | 4 |
| 0% | 50% | 50% | 5 |
| 6.2% | 31.2% | 62.5% | 6 |
| 9.4% | 28.1% | 62.5% | 7 |
| 14% | 17.2% | 68.8% | 8 |
| 14.8% | 16.4% | 68.8% | 9 |
| 17.6% | 10.1% | 72.3% | 10 |
| 18.1% | 9.2% | 72.7% | 11 |
| 19.6% | 5.5% | 74.9% | 12 |
Compiled 23 to 20 computations (13% saved)
| 1.5s | 8256× | body | 256 | valid |
| 201.0ms | 1226× | body | 256 | invalid |
| 2× | egg-herbie |
| 2198× | fma-neg_binary64 |
| 692× | fma-def_binary64 |
| 350× | unsub-neg_binary64 |
| 301× | sub-neg_binary64 |
| 270× | distribute-rgt-neg-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 48 |
| 1 | 52 | 42 |
| 2 | 142 | 38 |
| 3 | 402 | 38 |
| 4 | 1018 | 38 |
| 5 | 1911 | 38 |
| 6 | 2888 | 38 |
| 7 | 4219 | 38 |
| 8 | 5397 | 38 |
| 9 | 6013 | 38 |
| 10 | 6158 | 38 |
| 11 | 6169 | 38 |
| 12 | 6173 | 38 |
| 13 | 6359 | 38 |
| 14 | 6416 | 38 |
| 15 | 6416 | 38 |
| 16 | 6416 | 38 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand))) |
(*.f64 (-.f64 rand (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 rand (/.f64 1 3))))) a))) |
| Outputs |
|---|
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand))) |
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) rand))) |
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (*.f64 a 9) -3))))) |
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) |
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) |
(*.f64 (-.f64 rand (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 rand (/.f64 1 3))))) a))) |
(*.f64 (+.f64 rand -1/3) (+.f64 1 (*.f64 a (/.f64 1 (sqrt.f64 (*.f64 9 (+.f64 rand -1/3))))))) |
(*.f64 (+.f64 rand -1/3) (+.f64 1 (/.f64 a (sqrt.f64 (+.f64 (*.f64 rand 9) -3))))) |
(*.f64 (+.f64 rand -1/3) (+.f64 1 (/.f64 a (sqrt.f64 (fma.f64 9 rand -3))))) |
(*.f64 (-.f64 rand 1/3) (+.f64 1 (/.f64 a (sqrt.f64 (fma.f64 9 rand -3))))) |
Compiled 24 to 21 computations (12.5% saved)
| 1× | egg-herbie |
| 1035× | fma-def_binary64 |
| 742× | fma-neg_binary64 |
| 189× | distribute-rgt-in_binary64 |
| 173× | cancel-sign-sub-inv_binary64 |
| 157× | distribute-lft-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 24 |
| 1 | 32 | 21 |
| 2 | 82 | 19 |
| 3 | 203 | 19 |
| 4 | 510 | 19 |
| 5 | 968 | 19 |
| 6 | 1468 | 19 |
| 7 | 2419 | 19 |
| 8 | 3619 | 19 |
| 9 | 4100 | 19 |
| 10 | 4256 | 19 |
| 11 | 4295 | 19 |
| 12 | 4295 | 19 |
| 13 | 4848 | 19 |
| 14 | 4848 | 19 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand))) |
| Outputs |
|---|
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand))) |
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) rand))) |
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (*.f64 a 9) -3))))) |
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) |
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) |
Compiled 35 to 29 computations (17.1% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 2 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.1b | (*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand))) |
| ▶ | 0.1b | (*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) |
Compiled 37 to 31 computations (16.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (fma.f64 a 9 -3) |
| ✓ | 0.1b | (*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) |
| ✓ | 0.1b | (sqrt.f64 (fma.f64 a 9 -3)) |
| ✓ | 0.2b | (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) |
Compiled 49 to 37 computations (24.5% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | rand | @ | inf | (*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) |
| 2.0ms | rand | @ | 0 | (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) |
| 2.0ms | a | @ | -inf | (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) |
| 1.0ms | a | @ | inf | (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) |
| 1.0ms | a | @ | 0 | (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) |
| 1× | batch-egg-rewrite |
| 588× | log-prod_binary64 |
| 492× | prod-diff_binary64 |
| 350× | fma-def_binary64 |
| 240× | pow1/3_binary64 |
| 237× | expm1-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 41 |
| 1 | 287 | 40 |
| 2 | 3747 | 40 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) |
(sqrt.f64 (fma.f64 a 9 -3)) |
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) |
(fma.f64 a 9 -3) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) (cbrt.f64 (exp.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (cbrt.f64 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3))) (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 rand) 2) (*.f64 (cbrt.f64 rand) (pow.f64 (fma.f64 a 9 -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 rand) (*.f64 (sqrt.f64 rand) (pow.f64 (fma.f64 a 9 -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 rand) (/.f64 1 (neg.f64 (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) 1) (/.f64 (cbrt.f64 rand) (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 rand) 1) (/.f64 (sqrt.f64 rand) (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (fma.f64 a 9 -3))) (/.f64 rand (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 rand) (cbrt.f64 (fma.f64 a 9 -3))) (/.f64 (sqrt.f64 rand) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (fma.f64 a 9 -3) 1/4)) (/.f64 rand (pow.f64 (fma.f64 a 9 -3) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) (pow.f64 (fma.f64 a 9 -3) 1/4)) (/.f64 (cbrt.f64 rand) (pow.f64 (fma.f64 a 9 -3) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 rand (neg.f64 (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)) (pow.f64 (cbrt.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)) 2) (cbrt.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)) (sqrt.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 3)) (/.f64 1 (fma.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) -1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3))) (/.f64 1 (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) -1))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a 9 -3)))) (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a 9 -3)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a 9 -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a 9 -3))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a 9 -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 a 9 -3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 a 9 -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 a 9 -3)) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) (pow.f64 (fma.f64 a 9 -3) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 a 9 -3) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 a 9 -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a 9 -3) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 a 9 -3) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 a 9 -3)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 a 9 -3))) 1)))))) |
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a -1/9) (/.f64 1 (+.f64 a 1/3)) (*.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))) (cbrt.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))))) (cbrt.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))) (sqrt.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (sqrt.f64 (+.f64 a -1/3))) (*.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (sqrt.f64 (+.f64 a -1/3))) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 a -1/3) rand) (pow.f64 (fma.f64 a 9 -3) -1/2) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (cbrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 a -1/3) (cbrt.f64 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3)))) (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 a -1/3) (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 a -1/3)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -3 (*.f64 a 9))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 a 9 -3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a 9) -3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 a 9) 1) -3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 a 9 -3))) (cbrt.f64 (exp.f64 (fma.f64 a 9 -3))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 a 9 -3)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 a 9 -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 a 9 -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 a 9 -3)) (sqrt.f64 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 a 9 -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 a 9 -3)) (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 a 9 -3)) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))) (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 2) (cbrt.f64 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) (*.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) 3) (pow.f64 (fma.f64 a 9 -3) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (fma.f64 a 9 -3)) (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 a 9) 3) -27) (fma.f64 (*.f64 a 9) (*.f64 a 9) (-.f64 9 (*.f64 (*.f64 a 9) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 a 9) (*.f64 a 9) -9) (fma.f64 a 9 3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 a 9 -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 a 9 -3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a 9 -3) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a 9 -3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 a 9 -3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 a 9 -3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 a 9 -3)) 1)))))) |
| 1× | egg-herbie |
| 499× | distribute-rgt-in_binary64 |
| 497× | distribute-lft-in_binary64 |
| 449× | associate-/r/_binary64 |
| 408× | fma-def_binary64 |
| 380× | +-commutative_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 90 | 969 |
| 1 | 277 | 935 |
| 2 | 940 | 906 |
| 3 | 4280 | 787 |
| 4 | 7819 | 787 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
(*.f64 rand (sqrt.f64 -1/3)) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (*.f64 rand (sqrt.f64 -1/3))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -1/3))) (*.f64 rand (sqrt.f64 -1/3)))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -1/3))) (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 3) (*.f64 rand (+.f64 9 (*.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2)))))) (sqrt.f64 -1/3)))))) |
(sqrt.f64 -3) |
(+.f64 (*.f64 9/2 (/.f64 a (sqrt.f64 -3))) (sqrt.f64 -3)) |
(+.f64 (*.f64 -81/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 3))) (+.f64 (*.f64 9/2 (/.f64 a (sqrt.f64 -3))) (sqrt.f64 -3))) |
(+.f64 (*.f64 -81/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 3))) (+.f64 (*.f64 729/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 5))) (+.f64 (*.f64 9/2 (/.f64 a (sqrt.f64 -3))) (sqrt.f64 -3)))) |
(*.f64 -1/3 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) 1)) |
(+.f64 (*.f64 a (+.f64 1 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))))) (*.f64 -1/3 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) 1))) |
(+.f64 (*.f64 a (+.f64 1 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))))) (+.f64 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) rand) (sqrt.f64 -1/3))) (*.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3))))) (*.f64 -1/3 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) 1)))) |
(+.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/6 (/.f64 (*.f64 rand (+.f64 9 (*.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2))))) (sqrt.f64 -1/3))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) rand) (sqrt.f64 -1/3))))) (+.f64 (*.f64 a (+.f64 1 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))))) (+.f64 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) rand) (sqrt.f64 -1/3))) (*.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3))))) (*.f64 -1/3 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) 1))))) |
a |
a |
(-.f64 a 1/3) |
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3) |
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3) |
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3) |
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3) |
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3) |
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3) |
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3) |
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3) |
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3) |
-3 |
(-.f64 (*.f64 9 a) 3) |
(-.f64 (*.f64 9 a) 3) |
(-.f64 (*.f64 9 a) 3) |
(*.f64 9 a) |
(-.f64 (*.f64 9 a) 3) |
(-.f64 (*.f64 9 a) 3) |
(-.f64 (*.f64 9 a) 3) |
(*.f64 9 a) |
(-.f64 (*.f64 9 a) 3) |
(-.f64 (*.f64 9 a) 3) |
(-.f64 (*.f64 9 a) 3) |
| Outputs |
|---|
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) |
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) |
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) |
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) |
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) |
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) |
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) |
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) |
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) |
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) |
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) |
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) |
(*.f64 rand (sqrt.f64 -1/3)) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (*.f64 rand (sqrt.f64 -1/3))) |
(fma.f64 -1/2 (/.f64 (*.f64 rand a) (sqrt.f64 -1/3)) (*.f64 rand (sqrt.f64 -1/3))) |
(fma.f64 rand (sqrt.f64 -1/3) (*.f64 -1/2 (*.f64 (/.f64 a (sqrt.f64 -1/3)) rand))) |
(fma.f64 rand (sqrt.f64 -1/3) (*.f64 -1/2 (*.f64 rand (/.f64 a (sqrt.f64 -1/3))))) |
(*.f64 rand (+.f64 (sqrt.f64 -1/3) (*.f64 -1/2 (/.f64 a (sqrt.f64 -1/3))))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -1/3))) (*.f64 rand (sqrt.f64 -1/3)))) |
(fma.f64 -1/2 (/.f64 (*.f64 rand a) (sqrt.f64 -1/3)) (fma.f64 -1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) (*.f64 rand (*.f64 a a)))) (*.f64 rand (sqrt.f64 -1/3)))) |
(fma.f64 -1/2 (*.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (fma.f64 rand (sqrt.f64 -1/3) (/.f64 (*.f64 -1/2 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2))) (/.f64 (sqrt.f64 -1/3) (*.f64 rand (*.f64 a a)))))) |
(fma.f64 -1/2 (fma.f64 (/.f64 a (sqrt.f64 -1/3)) rand (*.f64 (/.f64 (*.f64 rand (*.f64 a a)) (sqrt.f64 -1/3)) (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)))) (*.f64 rand (sqrt.f64 -1/3))) |
(fma.f64 rand (sqrt.f64 -1/3) (*.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) (+.f64 (*.f64 a (*.f64 (*.f64 rand a) 9/4)) (*.f64 rand a)))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -1/3))) (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 3) (*.f64 rand (+.f64 9 (*.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2)))))) (sqrt.f64 -1/3)))))) |
(fma.f64 -1/2 (/.f64 (*.f64 rand a) (sqrt.f64 -1/3)) (fma.f64 -1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) (*.f64 rand (*.f64 a a)))) (fma.f64 rand (sqrt.f64 -1/3) (*.f64 -1/2 (/.f64 (*.f64 (*.f64 (pow.f64 a 3) rand) (+.f64 9 (*.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2))))) (sqrt.f64 -1/3)))))) |
(fma.f64 -1/2 (*.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (fma.f64 -1/2 (*.f64 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)) (*.f64 rand (*.f64 a a))) (fma.f64 rand (sqrt.f64 -1/3) (*.f64 -1/2 (*.f64 (/.f64 (pow.f64 a 3) (sqrt.f64 -1/3)) (*.f64 rand (fma.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) -1/3) 9))))))) |
(fma.f64 -1/2 (fma.f64 (/.f64 a (sqrt.f64 -1/3)) rand (*.f64 (/.f64 (*.f64 rand (*.f64 a a)) (sqrt.f64 -1/3)) (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)))) (fma.f64 rand (sqrt.f64 -1/3) (*.f64 (/.f64 (*.f64 -1/2 (pow.f64 a 3)) (/.f64 (sqrt.f64 -1/3) rand)) (+.f64 9 (*.f64 -3/2 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2))))))) |
(+.f64 (*.f64 rand (+.f64 (sqrt.f64 -1/3) (*.f64 (/.f64 -9/8 (sqrt.f64 -1/3)) (*.f64 a a)))) (*.f64 -1/2 (*.f64 (/.f64 rand (sqrt.f64 -1/3)) (+.f64 (*.f64 (pow.f64 a 3) 45/8) a)))) |
(sqrt.f64 -3) |
(+.f64 (*.f64 9/2 (/.f64 a (sqrt.f64 -3))) (sqrt.f64 -3)) |
(fma.f64 9/2 (/.f64 a (sqrt.f64 -3)) (sqrt.f64 -3)) |
(+.f64 (*.f64 -81/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 3))) (+.f64 (*.f64 9/2 (/.f64 a (sqrt.f64 -3))) (sqrt.f64 -3))) |
(fma.f64 -81/8 (/.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -3) 3)) (fma.f64 9/2 (/.f64 a (sqrt.f64 -3)) (sqrt.f64 -3))) |
(+.f64 (fma.f64 9/2 (/.f64 a (sqrt.f64 -3)) (sqrt.f64 -3)) (*.f64 27/8 (/.f64 (*.f64 a a) (sqrt.f64 -3)))) |
(fma.f64 9/2 (/.f64 a (sqrt.f64 -3)) (fma.f64 27/8 (/.f64 (*.f64 a a) (sqrt.f64 -3)) (sqrt.f64 -3))) |
(+.f64 (sqrt.f64 -3) (*.f64 (/.f64 a (sqrt.f64 -3)) (+.f64 9/2 (*.f64 (*.f64 -1/3 a) -81/8)))) |
(+.f64 (*.f64 -81/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 3))) (+.f64 (*.f64 729/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 5))) (+.f64 (*.f64 9/2 (/.f64 a (sqrt.f64 -3))) (sqrt.f64 -3)))) |
(fma.f64 -81/8 (/.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -3) 3)) (fma.f64 729/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 5)) (fma.f64 9/2 (/.f64 a (sqrt.f64 -3)) (sqrt.f64 -3)))) |
(+.f64 (*.f64 27/8 (/.f64 (*.f64 a a) (sqrt.f64 -3))) (fma.f64 729/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 5)) (fma.f64 9/2 (/.f64 a (sqrt.f64 -3)) (sqrt.f64 -3)))) |
(fma.f64 729/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 5)) (fma.f64 9/2 (/.f64 a (sqrt.f64 -3)) (fma.f64 27/8 (/.f64 (*.f64 a a) (sqrt.f64 -3)) (sqrt.f64 -3)))) |
(+.f64 (*.f64 (/.f64 a (sqrt.f64 -3)) (+.f64 9/2 (*.f64 (*.f64 -1/3 a) -81/8))) (fma.f64 729/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 5)) (sqrt.f64 -3))) |
(*.f64 -1/3 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) 1)) |
(*.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1)) |
(fma.f64 rand (*.f64 -1/3 (sqrt.f64 -1/3)) -1/3) |
(+.f64 (*.f64 a (+.f64 1 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))))) (*.f64 -1/3 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) 1))) |
(fma.f64 a (+.f64 (fma.f64 rand (sqrt.f64 -1/3) 1) (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) (*.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1))) |
(fma.f64 a (+.f64 1 (fma.f64 rand (sqrt.f64 -1/3) (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) (*.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1))) |
(fma.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1) (fma.f64 a (fma.f64 rand (sqrt.f64 -1/3) (/.f64 rand (/.f64 (sqrt.f64 -1/3) 1/6))) a)) |
(+.f64 (*.f64 a (/.f64 rand (/.f64 (sqrt.f64 -1/3) 1/6))) (*.f64 (fma.f64 rand (sqrt.f64 -1/3) 1) (+.f64 a -1/3))) |
(+.f64 (*.f64 a (+.f64 1 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))))) (+.f64 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) rand) (sqrt.f64 -1/3))) (*.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3))))) (*.f64 -1/3 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) 1)))) |
(fma.f64 a (+.f64 (fma.f64 rand (sqrt.f64 -1/3) 1) (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) (fma.f64 (*.f64 a a) (fma.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) rand)) (*.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3)))) (*.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1)))) |
(fma.f64 a (+.f64 1 (fma.f64 rand (sqrt.f64 -1/3) (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) (fma.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1) (*.f64 (*.f64 a a) (fma.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3)) (*.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) rand))))))) |
(fma.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1) (*.f64 a (+.f64 (fma.f64 rand (sqrt.f64 -1/3) (fma.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)) 1)) (*.f64 a (fma.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3)) (*.f64 1/6 (*.f64 (/.f64 rand (sqrt.f64 -1/3)) (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2))))))))) |
(fma.f64 a (*.f64 a (*.f64 rand (+.f64 (/.f64 3/8 (sqrt.f64 -1/3)) (/.f64 -1/2 (sqrt.f64 -1/3))))) (+.f64 (*.f64 a (/.f64 rand (/.f64 (sqrt.f64 -1/3) 1/6))) (*.f64 (fma.f64 rand (sqrt.f64 -1/3) 1) (+.f64 a -1/3)))) |
(+.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/6 (/.f64 (*.f64 rand (+.f64 9 (*.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2))))) (sqrt.f64 -1/3))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) rand) (sqrt.f64 -1/3))))) (+.f64 (*.f64 a (+.f64 1 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))))) (+.f64 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) rand) (sqrt.f64 -1/3))) (*.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3))))) (*.f64 -1/3 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) 1))))) |
(fma.f64 (pow.f64 a 3) (fma.f64 1/6 (/.f64 rand (/.f64 (sqrt.f64 -1/3) (+.f64 9 (*.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2)))))) (*.f64 -1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) rand)))) (fma.f64 a (+.f64 (fma.f64 rand (sqrt.f64 -1/3) 1) (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) (fma.f64 (*.f64 a a) (fma.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) rand)) (*.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3)))) (*.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1))))) |
(fma.f64 (pow.f64 a 3) (fma.f64 -1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) rand)) (*.f64 1/6 (*.f64 (/.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) -1/3) 9)))) (fma.f64 a (+.f64 1 (fma.f64 rand (sqrt.f64 -1/3) (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) (fma.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1) (*.f64 (*.f64 a a) (fma.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3)) (*.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) rand)))))))) |
(fma.f64 (pow.f64 a 3) (fma.f64 -1/2 (*.f64 (/.f64 rand (sqrt.f64 -1/3)) (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2))) (*.f64 (/.f64 rand (/.f64 (sqrt.f64 -1/3) 1/6)) (+.f64 9 (*.f64 -3/2 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)))))) (fma.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1) (*.f64 a (+.f64 (fma.f64 rand (sqrt.f64 -1/3) (fma.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)) 1)) (*.f64 a (fma.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3)) (*.f64 1/6 (*.f64 (/.f64 rand (sqrt.f64 -1/3)) (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)))))))))) |
(fma.f64 (pow.f64 a 3) (+.f64 (*.f64 (/.f64 15/16 (sqrt.f64 -1/3)) rand) (*.f64 (/.f64 -9/8 (sqrt.f64 -1/3)) rand)) (fma.f64 a (*.f64 a (*.f64 rand (+.f64 (/.f64 3/8 (sqrt.f64 -1/3)) (/.f64 -1/2 (sqrt.f64 -1/3))))) (+.f64 (*.f64 a (/.f64 rand (/.f64 (sqrt.f64 -1/3) 1/6))) (*.f64 (fma.f64 rand (sqrt.f64 -1/3) 1) (+.f64 a -1/3))))) |
a |
a |
(-.f64 a 1/3) |
(+.f64 a -1/3) |
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3) |
(+.f64 a (-.f64 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (*.f64 rand (+.f64 a -1/3))) 1/3)) |
(+.f64 a (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (*.f64 rand (+.f64 a -1/3)) -1/3)) |
(*.f64 (+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) 1) (-.f64 a 1/3)) |
(*.f64 (+.f64 1 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))) (+.f64 a -1/3)) |
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3) |
(+.f64 a (-.f64 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (*.f64 rand (+.f64 a -1/3))) 1/3)) |
(+.f64 a (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (*.f64 rand (+.f64 a -1/3)) -1/3)) |
(*.f64 (+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) 1) (-.f64 a 1/3)) |
(*.f64 (+.f64 1 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))) (+.f64 a -1/3)) |
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3) |
(+.f64 a (-.f64 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (*.f64 rand (+.f64 a -1/3))) 1/3)) |
(+.f64 a (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (*.f64 rand (+.f64 a -1/3)) -1/3)) |
(*.f64 (+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) 1) (-.f64 a 1/3)) |
(*.f64 (+.f64 1 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))) (+.f64 a -1/3)) |
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (*.f64 rand (+.f64 a -1/3))) |
(*.f64 rand (*.f64 (+.f64 a -1/3) (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))) |
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (*.f64 rand (-.f64 a 1/3))) |
(*.f64 rand (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (+.f64 a -1/3))) |
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3) |
(+.f64 a (-.f64 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (*.f64 rand (+.f64 a -1/3))) 1/3)) |
(+.f64 a (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (*.f64 rand (+.f64 a -1/3)) -1/3)) |
(*.f64 (+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) 1) (-.f64 a 1/3)) |
(*.f64 (+.f64 1 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))) (+.f64 a -1/3)) |
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3) |
(+.f64 a (-.f64 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (*.f64 rand (+.f64 a -1/3))) 1/3)) |
(+.f64 a (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (*.f64 rand (+.f64 a -1/3)) -1/3)) |
(*.f64 (+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) 1) (-.f64 a 1/3)) |
(*.f64 (+.f64 1 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))) (+.f64 a -1/3)) |
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3) |
(+.f64 a (-.f64 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (*.f64 rand (+.f64 a -1/3))) 1/3)) |
(+.f64 a (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (*.f64 rand (+.f64 a -1/3)) -1/3)) |
(*.f64 (+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) 1) (-.f64 a 1/3)) |
(*.f64 (+.f64 1 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))) (+.f64 a -1/3)) |
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (*.f64 rand (+.f64 a -1/3))) |
(*.f64 rand (*.f64 (+.f64 a -1/3) (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))) |
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (*.f64 rand (-.f64 a 1/3))) |
(*.f64 rand (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (+.f64 a -1/3))) |
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3) |
(+.f64 a (-.f64 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (*.f64 rand (+.f64 a -1/3))) 1/3)) |
(+.f64 a (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (*.f64 rand (+.f64 a -1/3)) -1/3)) |
(*.f64 (+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) 1) (-.f64 a 1/3)) |
(*.f64 (+.f64 1 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))) (+.f64 a -1/3)) |
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3) |
(+.f64 a (-.f64 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (*.f64 rand (+.f64 a -1/3))) 1/3)) |
(+.f64 a (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (*.f64 rand (+.f64 a -1/3)) -1/3)) |
(*.f64 (+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) 1) (-.f64 a 1/3)) |
(*.f64 (+.f64 1 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))) (+.f64 a -1/3)) |
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3) |
(+.f64 a (-.f64 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (*.f64 rand (+.f64 a -1/3))) 1/3)) |
(+.f64 a (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (*.f64 rand (+.f64 a -1/3)) -1/3)) |
(*.f64 (+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) 1) (-.f64 a 1/3)) |
(*.f64 (+.f64 1 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))) (+.f64 a -1/3)) |
-3 |
(-.f64 (*.f64 9 a) 3) |
(fma.f64 9 a -3) |
(-.f64 (*.f64 9 a) 3) |
(fma.f64 9 a -3) |
(-.f64 (*.f64 9 a) 3) |
(fma.f64 9 a -3) |
(*.f64 9 a) |
(-.f64 (*.f64 9 a) 3) |
(fma.f64 9 a -3) |
(-.f64 (*.f64 9 a) 3) |
(fma.f64 9 a -3) |
(-.f64 (*.f64 9 a) 3) |
(fma.f64 9 a -3) |
(*.f64 9 a) |
(-.f64 (*.f64 9 a) 3) |
(fma.f64 9 a -3) |
(-.f64 (*.f64 9 a) 3) |
(fma.f64 9 a -3) |
(-.f64 (*.f64 9 a) 3) |
(fma.f64 9 a -3) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand))) |
| ✓ | 0.1b | (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3)))) |
| ✓ | 0.2b | (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand) |
| ✓ | 0.3b | (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) |
Compiled 86 to 73 computations (15.1% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | a | @ | inf | (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) |
| 4.0ms | rand | @ | 0 | (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand) |
| 2.0ms | a | @ | -inf | (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) |
| 2.0ms | a | @ | -inf | (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand) |
| 2.0ms | a | @ | 0 | (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) |
| 1× | batch-egg-rewrite |
| 723× | prod-diff_binary64 |
| 653× | log-prod_binary64 |
| 413× | fma-def_binary64 |
| 247× | expm1-udef_binary64 |
| 247× | log1p-udef_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 54 |
| 1 | 307 | 49 |
| 2 | 3929 | 43 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) |
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand) |
(sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3)))) |
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (fma.f64 9 a -3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 9 a -3) -1/2))) (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 9 a -3) -1/2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 9 a -3) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 9 a -3) -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 9 a -3) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 9 a -3) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (fma.f64 9 a -3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (pow.f64 (sqrt.f64 (+.f64 a -1/3)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 9 a -3) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 9 a -3) -1/2)) (cbrt.f64 (/.f64 1 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (fma.f64 9 a -3))) (cbrt.f64 (pow.f64 (fma.f64 9 a -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (fma.f64 9 a -3) -1/2)) (sqrt.f64 (pow.f64 (fma.f64 9 a -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (*.f64 -3 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 9 a -3)) -1) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 9 a -3))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 9 a -3) 1/4) -1) (pow.f64 (pow.f64 (fma.f64 9 a -3) 1/4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 9 a -3) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 9 a -3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 9 a -3) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (fma.f64 9 a -3) -1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (fma.f64 9 a -3) -1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (pow.f64 (fma.f64 9 a -3) -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (fma.f64 9 a -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 9 a -3) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (fma.f64 9 a -3) -1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (fma.f64 9 a -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (fma.f64 9 a -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -1/2 (log.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 9 a -3))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (fma.f64 9 a -3))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))) (cbrt.f64 (exp.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 (fma.f64 9 a -3)) rand))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 rand rand)) (/.f64 (sqrt.f64 (fma.f64 9 a -3)) (cbrt.f64 rand)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 rand) (/.f64 (sqrt.f64 (fma.f64 9 a -3)) (sqrt.f64 rand)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 rand) (*.f64 -3 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 rand (pow.f64 (fma.f64 9 a -3) 1/4)) (pow.f64 (fma.f64 9 a -3) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 rand 1) (sqrt.f64 (fma.f64 9 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 rand (cbrt.f64 (fma.f64 9 a -3))) (cbrt.f64 (sqrt.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 rand) (*.f64 -3 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 rand -1) (*.f64 -3 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1)) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1)) 2) (cbrt.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1)) (sqrt.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3)) (/.f64 1 (fma.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand -1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3))) (/.f64 1 (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))) -1))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (fma.f64 9 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 9 a -3)))) (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 9 a -3)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 9 a -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 9 a -3))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 9 a -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 9 a -3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (fma.f64 9 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 9 a -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 9 a -3)) (cbrt.f64 (sqrt.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (fma.f64 9 a -3))) (cbrt.f64 (fma.f64 9 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 a -1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 a -1/3)) (pow.f64 9 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 9 a -3) 1/4) (pow.f64 (fma.f64 9 a -3) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 9 a -3) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 9 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 9 1/2) (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 9 a -3) 2)) 1/2) (pow.f64 (cbrt.f64 (fma.f64 9 a -3)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (fma.f64 9 a -3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 3 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 9 a -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (fma.f64 9 a -3)) (cbrt.f64 (pow.f64 (fma.f64 9 a -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (fma.f64 9 a -3) 1/4) (sqrt.f64 (pow.f64 (fma.f64 9 a -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -3 (sqrt.f64 (+.f64 a -1/3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 9 a -3) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 9 a -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 9 a -3) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 9 a -3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 9 a -3) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (fma.f64 9 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 9 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 9 a -3) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 9 a -3)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 9 a -3))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 a (+.f64 -1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 9 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 a -1/3) (*.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 9 a -3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1)) (*.f64 -1/3 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) a) (*.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) -1/3))))) 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(fma.f64 9 a -3) -1/2) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (cbrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 a -1/3) (pow.f64 (fma.f64 9 a -3) -1/2)) rand (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 a -1/3) (cbrt.f64 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)))) (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 a -1/3) (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))) (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (+.f64 a -1/3)))))) |
| 1× | egg-herbie |
| 853× | associate-/r*_binary64 |
| 463× | distribute-rgt-in_binary64 |
| 461× | distribute-lft-in_binary64 |
| 460× | fma-def_binary64 |
| 441× | associate-/r/_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 111 | 1032 |
| 1 | 314 | 999 |
| 2 | 993 | 983 |
| 3 | 4360 | 799 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/3 (sqrt.f64 -3)) |
(+.f64 (*.f64 -3/2 (/.f64 a (sqrt.f64 -3))) (*.f64 1/3 (sqrt.f64 -3))) |
(+.f64 (*.f64 -3/2 (/.f64 a (sqrt.f64 -3))) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 a 2)) (sqrt.f64 -3))) (*.f64 1/3 (sqrt.f64 -3)))) |
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (pow.f64 a 3)) (sqrt.f64 -3))) (+.f64 (*.f64 -3/2 (/.f64 a (sqrt.f64 -3))) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 a 2)) (sqrt.f64 -3))) (*.f64 1/3 (sqrt.f64 -3))))) |
(*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) |
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (*.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3)))) |
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3))))) |
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (*.f64 (pow.f64 a 3) rand)) (sqrt.f64 -3))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3)))))) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)) |
(*.f64 3 (sqrt.f64 -1/3)) |
(+.f64 (*.f64 3/2 (/.f64 a (sqrt.f64 -1/3))) (*.f64 3 (sqrt.f64 -1/3))) |
(+.f64 (*.f64 -3/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 3/2 (/.f64 a (sqrt.f64 -1/3))) (*.f64 3 (sqrt.f64 -1/3)))) |
(+.f64 (*.f64 -3/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 3/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (+.f64 (*.f64 3/2 (/.f64 a (sqrt.f64 -1/3))) (*.f64 3 (sqrt.f64 -1/3))))) |
(*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)) |
(+.f64 (*.f64 a (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1))) |
(+.f64 (*.f64 a (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (+.f64 (*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)) (*.f64 (+.f64 (*.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (*.f64 1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3)))) (pow.f64 a 2)))) |
(+.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/18 (/.f64 (*.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) rand) (sqrt.f64 -3))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3))))) (+.f64 (*.f64 a (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (+.f64 (*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)) (*.f64 (+.f64 (*.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (*.f64 1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3)))) (pow.f64 a 2))))) |
a |
a |
(-.f64 a 1/3) |
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3) |
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3) |
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3) |
| Outputs |
|---|
(*.f64 1/3 (sqrt.f64 -3)) |
(+.f64 (*.f64 -3/2 (/.f64 a (sqrt.f64 -3))) (*.f64 1/3 (sqrt.f64 -3))) |
(fma.f64 -3/2 (/.f64 a (sqrt.f64 -3)) (*.f64 1/3 (sqrt.f64 -3))) |
(fma.f64 1/3 (sqrt.f64 -3) (*.f64 -3/2 (/.f64 a (sqrt.f64 -3)))) |
(fma.f64 1/3 (sqrt.f64 -3) (/.f64 -3/2 (/.f64 (sqrt.f64 -3) a))) |
(+.f64 (*.f64 -3/2 (/.f64 a (sqrt.f64 -3))) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 a 2)) (sqrt.f64 -3))) (*.f64 1/3 (sqrt.f64 -3)))) |
(fma.f64 -3/2 (/.f64 a (sqrt.f64 -3)) (fma.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) (*.f64 a a))) (*.f64 1/3 (sqrt.f64 -3)))) |
(fma.f64 -3/2 (/.f64 a (sqrt.f64 -3)) (fma.f64 1/3 (sqrt.f64 -3) (*.f64 -1/6 (*.f64 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3)) (*.f64 a a))))) |
(fma.f64 1/3 (sqrt.f64 -3) (fma.f64 -3/2 (/.f64 a (sqrt.f64 -3)) (*.f64 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3)) (*.f64 -1/6 (*.f64 a a))))) |
(fma.f64 1/3 (sqrt.f64 -3) (*.f64 a (+.f64 (/.f64 -3/2 (sqrt.f64 -3)) (/.f64 -27/8 (/.f64 (sqrt.f64 -3) a))))) |
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (pow.f64 a 3)) (sqrt.f64 -3))) (+.f64 (*.f64 -3/2 (/.f64 a (sqrt.f64 -3))) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 a 2)) (sqrt.f64 -3))) (*.f64 1/3 (sqrt.f64 -3))))) |
(fma.f64 -1/6 (/.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (/.f64 (sqrt.f64 -3) (pow.f64 a 3))) (fma.f64 -3/2 (/.f64 a (sqrt.f64 -3)) (fma.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) (*.f64 a a))) (*.f64 1/3 (sqrt.f64 -3))))) |
(fma.f64 -1/6 (/.f64 (fma.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) -3) 81) (/.f64 (sqrt.f64 -3) (pow.f64 a 3))) (fma.f64 -3/2 (/.f64 a (sqrt.f64 -3)) (fma.f64 1/3 (sqrt.f64 -3) (*.f64 -1/6 (*.f64 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3)) (*.f64 a a)))))) |
(fma.f64 -3/2 (/.f64 a (sqrt.f64 -3)) (fma.f64 -1/6 (*.f64 (/.f64 (pow.f64 a 3) (sqrt.f64 -3)) (+.f64 81 (*.f64 -3/2 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))))) (fma.f64 1/3 (sqrt.f64 -3) (*.f64 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3)) (*.f64 -1/6 (*.f64 a a)))))) |
(+.f64 (fma.f64 1/3 (sqrt.f64 -3) (/.f64 -3/2 (/.f64 (sqrt.f64 -3) a))) (*.f64 (*.f64 a a) (+.f64 (/.f64 -27/8 (sqrt.f64 -3)) (*.f64 (/.f64 -135/16 (sqrt.f64 -3)) a)))) |
(*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) |
(*.f64 1/3 (*.f64 (sqrt.f64 -3) rand)) |
(*.f64 (sqrt.f64 -3) (*.f64 1/3 rand)) |
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (*.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3)))) |
(fma.f64 1/3 (*.f64 (sqrt.f64 -3) rand) (*.f64 -3/2 (/.f64 a (/.f64 (sqrt.f64 -3) rand)))) |
(fma.f64 1/3 (*.f64 (sqrt.f64 -3) rand) (*.f64 -3/2 (*.f64 (/.f64 a (sqrt.f64 -3)) rand))) |
(*.f64 rand (fma.f64 1/3 (sqrt.f64 -3) (/.f64 -3/2 (/.f64 (sqrt.f64 -3) a)))) |
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3))))) |
(fma.f64 1/3 (*.f64 (sqrt.f64 -3) rand) (fma.f64 -3/2 (/.f64 a (/.f64 (sqrt.f64 -3) rand)) (*.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) (*.f64 (*.f64 a a) rand)))))) |
(fma.f64 1/3 (*.f64 (sqrt.f64 -3) rand) (fma.f64 -3/2 (*.f64 (/.f64 a (sqrt.f64 -3)) rand) (*.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) (*.f64 a (*.f64 a rand))))))) |
(fma.f64 1/3 (*.f64 (sqrt.f64 -3) rand) (fma.f64 -3/2 (*.f64 (/.f64 a (sqrt.f64 -3)) rand) (*.f64 -1/6 (*.f64 (/.f64 (*.f64 a (*.f64 a rand)) (sqrt.f64 -3)) (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)))))) |
(fma.f64 1/3 (*.f64 (sqrt.f64 -3) rand) (*.f64 rand (*.f64 a (+.f64 (/.f64 -3/2 (sqrt.f64 -3)) (/.f64 -27/8 (/.f64 (sqrt.f64 -3) a)))))) |
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (*.f64 (pow.f64 a 3) rand)) (sqrt.f64 -3))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3)))))) |
(fma.f64 1/3 (*.f64 (sqrt.f64 -3) rand) (fma.f64 -1/6 (/.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (/.f64 (sqrt.f64 -3) (*.f64 (pow.f64 a 3) rand))) (fma.f64 -3/2 (/.f64 a (/.f64 (sqrt.f64 -3) rand)) (*.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) (*.f64 (*.f64 a a) rand))))))) |
(fma.f64 1/3 (*.f64 (sqrt.f64 -3) rand) (fma.f64 -1/6 (/.f64 (fma.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) -3) 81) (/.f64 (sqrt.f64 -3) (*.f64 (pow.f64 a 3) rand))) (fma.f64 -3/2 (*.f64 (/.f64 a (sqrt.f64 -3)) rand) (*.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) (*.f64 a (*.f64 a rand)))))))) |
(fma.f64 1/3 (*.f64 (sqrt.f64 -3) rand) (fma.f64 -3/2 (*.f64 (/.f64 a (sqrt.f64 -3)) rand) (*.f64 -1/6 (+.f64 (/.f64 (+.f64 81 (*.f64 -3/2 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)))) (/.f64 (/.f64 (sqrt.f64 -3) rand) (pow.f64 a 3))) (*.f64 (/.f64 (*.f64 a (*.f64 a rand)) (sqrt.f64 -3)) (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))))))) |
(+.f64 (*.f64 rand (fma.f64 1/3 (sqrt.f64 -3) (/.f64 -3/2 (/.f64 (sqrt.f64 -3) a)))) (*.f64 rand (*.f64 (*.f64 a a) (+.f64 (/.f64 -27/8 (sqrt.f64 -3)) (*.f64 (/.f64 -135/16 (sqrt.f64 -3)) a))))) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)) |
(*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 a -1/3))))) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (*.f64 1/3 rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)) |
(*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 a -1/3))))) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (*.f64 1/3 rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)) |
(*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 a -1/3))))) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (*.f64 1/3 rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)) |
(*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 a -1/3))))) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (*.f64 1/3 rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)) |
(*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 a -1/3))))) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (*.f64 1/3 rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)) |
(*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 a -1/3))))) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (*.f64 1/3 rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)) |
(*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 a -1/3))))) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (*.f64 1/3 rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)) |
(*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 a -1/3))))) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (*.f64 1/3 rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)) |
(*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 a -1/3))))) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (*.f64 1/3 rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)) |
(*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 a -1/3))))) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (*.f64 1/3 rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)) |
(*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 a -1/3))))) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (*.f64 1/3 rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)) |
(*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 a -1/3))))) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (*.f64 1/3 rand)) |
(*.f64 3 (sqrt.f64 -1/3)) |
(+.f64 (*.f64 3/2 (/.f64 a (sqrt.f64 -1/3))) (*.f64 3 (sqrt.f64 -1/3))) |
(fma.f64 3/2 (/.f64 a (sqrt.f64 -1/3)) (*.f64 3 (sqrt.f64 -1/3))) |
(fma.f64 3 (sqrt.f64 -1/3) (/.f64 (*.f64 a 3/2) (sqrt.f64 -1/3))) |
(fma.f64 3 (sqrt.f64 -1/3) (*.f64 (/.f64 3/2 (sqrt.f64 -1/3)) a)) |
(+.f64 (*.f64 -3/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 3/2 (/.f64 a (sqrt.f64 -1/3))) (*.f64 3 (sqrt.f64 -1/3)))) |
(fma.f64 -3/8 (/.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -1/3) 3)) (fma.f64 3/2 (/.f64 a (sqrt.f64 -1/3)) (*.f64 3 (sqrt.f64 -1/3)))) |
(+.f64 (fma.f64 3 (sqrt.f64 -1/3) (/.f64 (*.f64 a 3/2) (sqrt.f64 -1/3))) (*.f64 9/8 (/.f64 (*.f64 a a) (sqrt.f64 -1/3)))) |
(fma.f64 9/8 (/.f64 a (/.f64 (sqrt.f64 -1/3) a)) (fma.f64 3 (sqrt.f64 -1/3) (*.f64 (/.f64 3/2 (sqrt.f64 -1/3)) a))) |
(fma.f64 3 (sqrt.f64 -1/3) (*.f64 (/.f64 a (sqrt.f64 -1/3)) (+.f64 3/2 (/.f64 (*.f64 a -3/8) -1/3)))) |
(+.f64 (*.f64 -3/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 3/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (+.f64 (*.f64 3/2 (/.f64 a (sqrt.f64 -1/3))) (*.f64 3 (sqrt.f64 -1/3))))) |
(fma.f64 -3/8 (/.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -1/3) 3)) (fma.f64 3/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) (fma.f64 3/2 (/.f64 a (sqrt.f64 -1/3)) (*.f64 3 (sqrt.f64 -1/3))))) |
(+.f64 (*.f64 9/8 (/.f64 (*.f64 a a) (sqrt.f64 -1/3))) (fma.f64 3/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) (fma.f64 3 (sqrt.f64 -1/3) (/.f64 (*.f64 a 3/2) (sqrt.f64 -1/3))))) |
(fma.f64 3/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) (fma.f64 9/8 (/.f64 a (/.f64 (sqrt.f64 -1/3) a)) (fma.f64 3 (sqrt.f64 -1/3) (*.f64 (/.f64 3/2 (sqrt.f64 -1/3)) a)))) |
(fma.f64 3/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) (fma.f64 3 (sqrt.f64 -1/3) (*.f64 (/.f64 a (sqrt.f64 -1/3)) (+.f64 3/2 (/.f64 (*.f64 a -3/8) -1/3))))) |
(*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)) |
(*.f64 -1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 -3) rand) 1)) |
(+.f64 -1/3 (*.f64 (*.f64 (sqrt.f64 -3) rand) -1/9)) |
(fma.f64 (*.f64 (sqrt.f64 -3) rand) -1/9 -1/3) |
(+.f64 (*.f64 a (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1))) |
(fma.f64 a (+.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 -3) rand) 1) (/.f64 (*.f64 1/2 rand) (sqrt.f64 -3))) (*.f64 -1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 -3) rand) 1))) |
(fma.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 -3) rand) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (+.f64 -1/3 (*.f64 (*.f64 (sqrt.f64 -3) rand) -1/9))) |
(fma.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 -3) rand) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (fma.f64 (*.f64 (sqrt.f64 -3) rand) -1/9 -1/3)) |
(+.f64 (*.f64 (fma.f64 (sqrt.f64 -3) (*.f64 1/3 rand) 1) (+.f64 a -1/3)) (*.f64 (/.f64 rand (sqrt.f64 -3)) (*.f64 1/2 a))) |
(+.f64 (*.f64 a (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (+.f64 (*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)) (*.f64 (+.f64 (*.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (*.f64 1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3)))) (pow.f64 a 2)))) |
(fma.f64 a (+.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 -3) rand) 1) (/.f64 (*.f64 1/2 rand) (sqrt.f64 -3))) (fma.f64 -1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 -3) rand) 1) (*.f64 (*.f64 a a) (fma.f64 -3/2 (/.f64 rand (sqrt.f64 -3)) (/.f64 (*.f64 1/18 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand)) (sqrt.f64 -3)))))) |
(fma.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 -3) rand) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (fma.f64 (*.f64 a a) (fma.f64 -3/2 (/.f64 rand (sqrt.f64 -3)) (/.f64 (*.f64 (*.f64 1/18 rand) (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))) (sqrt.f64 -3))) (+.f64 -1/3 (*.f64 (*.f64 (sqrt.f64 -3) rand) -1/9)))) |
(fma.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 -3) rand) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (fma.f64 (*.f64 a a) (fma.f64 -3/2 (/.f64 rand (sqrt.f64 -3)) (*.f64 1/18 (*.f64 rand (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3))))) (fma.f64 (*.f64 (sqrt.f64 -3) rand) -1/9 -1/3))) |
(fma.f64 a (*.f64 a (*.f64 rand (+.f64 (/.f64 -3/2 (sqrt.f64 -3)) (/.f64 9/8 (sqrt.f64 -3))))) (+.f64 (*.f64 (fma.f64 (sqrt.f64 -3) (*.f64 1/3 rand) 1) (+.f64 a -1/3)) (*.f64 (/.f64 rand (sqrt.f64 -3)) (*.f64 1/2 a)))) |
(+.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/18 (/.f64 (*.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) rand) (sqrt.f64 -3))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3))))) (+.f64 (*.f64 a (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (+.f64 (*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)) (*.f64 (+.f64 (*.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (*.f64 1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3)))) (pow.f64 a 2))))) |
(fma.f64 (pow.f64 a 3) (fma.f64 1/18 (/.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (/.f64 (sqrt.f64 -3) rand)) (*.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand)))) (fma.f64 a (+.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 -3) rand) 1) (/.f64 (*.f64 1/2 rand) (sqrt.f64 -3))) (fma.f64 -1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 -3) rand) 1) (*.f64 (*.f64 a a) (fma.f64 -3/2 (/.f64 rand (sqrt.f64 -3)) (/.f64 (*.f64 1/18 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand)) (sqrt.f64 -3))))))) |
(fma.f64 (pow.f64 a 3) (fma.f64 -1/6 (*.f64 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3)) rand) (*.f64 1/18 (/.f64 (fma.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) -3) 81) (/.f64 (sqrt.f64 -3) rand)))) (fma.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 -3) rand) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (fma.f64 (*.f64 a a) (fma.f64 -3/2 (/.f64 rand (sqrt.f64 -3)) (/.f64 (*.f64 (*.f64 1/18 rand) (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))) (sqrt.f64 -3))) (+.f64 -1/3 (*.f64 (*.f64 (sqrt.f64 -3) rand) -1/9))))) |
(fma.f64 (pow.f64 a 3) (fma.f64 -1/6 (*.f64 rand (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3))) (/.f64 (+.f64 9/2 (*.f64 1/18 (*.f64 -3/2 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))))) (/.f64 (sqrt.f64 -3) rand))) (fma.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 -3) rand) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (fma.f64 (*.f64 a a) (fma.f64 -3/2 (/.f64 rand (sqrt.f64 -3)) (*.f64 1/18 (*.f64 rand (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3))))) (fma.f64 (*.f64 (sqrt.f64 -3) rand) -1/9 -1/3)))) |
(fma.f64 (pow.f64 a 3) (*.f64 rand (+.f64 (/.f64 45/16 (sqrt.f64 -3)) (/.f64 -27/8 (sqrt.f64 -3)))) (fma.f64 a (*.f64 a (*.f64 rand (+.f64 (/.f64 -3/2 (sqrt.f64 -3)) (/.f64 9/8 (sqrt.f64 -3))))) (+.f64 (*.f64 (fma.f64 (sqrt.f64 -3) (*.f64 1/3 rand) 1) (+.f64 a -1/3)) (*.f64 (/.f64 rand (sqrt.f64 -3)) (*.f64 1/2 a))))) |
a |
a |
(-.f64 a 1/3) |
(+.f64 a -1/3) |
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3) |
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3) |
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a)) |
(fma.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand) (+.f64 a -1/3)) |
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3) |
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3) |
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a)) |
(fma.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand) (+.f64 a -1/3)) |
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3) |
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3) |
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a)) |
(fma.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand) (+.f64 a -1/3)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) |
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3) |
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3) |
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a)) |
(fma.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand) (+.f64 a -1/3)) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3) |
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3) |
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a)) |
(fma.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand) (+.f64 a -1/3)) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3) |
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3) |
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a)) |
(fma.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand) (+.f64 a -1/3)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) |
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3) |
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3) |
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a)) |
(fma.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand) (+.f64 a -1/3)) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3) |
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3) |
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a)) |
(fma.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand) (+.f64 a -1/3)) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3) |
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3) |
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a)) |
(fma.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand) (+.f64 a -1/3)) |
Compiled 10261 to 8184 computations (20.2% saved)
11 alts after pruning (11 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 454 | 11 | 465 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 0 | 1 |
| Total | 456 | 11 | 467 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.1b | (-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3) |
| 35.6b | (/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) (fma.f64 a a -1/9)) (+.f64 a 1/3)) | |
| ▶ | 18.2b | (-.f64 a 1/3) |
| 0.1b | (*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (*.f64 1/3 rand)))) | |
| 1.0b | (*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a))))) | |
| ▶ | 0.1b | (*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3))))) |
| 50.6b | (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) | |
| ▶ | 0.1b | (*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (/.f64 (neg.f64 rand) (*.f64 -3 (sqrt.f64 (+.f64 a -1/3)))))) |
| 19.5b | a | |
| ▶ | 45.8b | (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)) |
| 45.8b | (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
Compiled 295 to 238 computations (19.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 a (/.f64 1 3)) |
| ✓ | 0.0b | (sqrt.f64 (+.f64 a -1/3)) |
| ✓ | 0.1b | (*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3))))) |
| ✓ | 0.3b | (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3))) |
Compiled 59 to 46 computations (22% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 26.0ms | a | @ | -inf | (*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3))))) |
| 4.0ms | a | @ | -inf | (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3))) |
| 1.0ms | a | @ | -inf | (sqrt.f64 (+.f64 a -1/3)) |
| 1.0ms | a | @ | inf | (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3))) |
| 1.0ms | a | @ | 0 | (*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3))))) |
| 1× | batch-egg-rewrite |
| 746× | prod-diff_binary64 |
| 377× | fma-def_binary64 |
| 268× | log-div_binary64 |
| 248× | expm1-udef_binary64 |
| 248× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 43 |
| 1 | 323 | 42 |
| 2 | 4241 | 42 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3))) |
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3))))) |
(sqrt.f64 (+.f64 a -1/3)) |
(-.f64 a (/.f64 1 3)) |
| Outputs |
|---|
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-1/3))) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (cbrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 a -1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 a -1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (cbrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 a -1/3)) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 a -1/3) 1/4) (pow.f64 (+.f64 a -1/3) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (hypot.f64 a (sqrt.f64 (-.f64 1/9 (*.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (hypot.f64 a (sqrt.f64 (fma.f64 a 1/3 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 a -1/3) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 a -1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 a -1/3) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 a -1/3) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 a -1/3) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 a -1/3)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 a -1/3))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 a -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/3 a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 a -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 a -1/3)) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 a -1/3)) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (*.f64 (cbrt.f64 (+.f64 a -1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 a -1/3) 1/4) (*.f64 (pow.f64 (+.f64 a -1/3) 1/4) (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 1 (fma.f64 a a (fma.f64 a 1/3 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 1 (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 a a -1/9) (/.f64 1 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (pow.f64 (+.f64 a -1/3) 1/4)) (pow.f64 (+.f64 a -1/3) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (cbrt.f64 (+.f64 a -1/3))) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 a a (fma.f64 a 1/3 1/9)) (+.f64 -1/27 (pow.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3)) (+.f64 -1/27 (pow.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 a a (fma.f64 a 1/3 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1/27 (pow.f64 a 3)) (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1/27 (pow.f64 a 3)) (+.f64 1/9 (-.f64 (*.f64 a a) (*.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 a a -1/9) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -1/27 (pow.f64 a 3))) (neg.f64 (fma.f64 a a (fma.f64 a 1/3 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -1/27 (pow.f64 a 3))) (neg.f64 (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 a a -1/9)) (neg.f64 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) 1) (fma.f64 a a (fma.f64 a 1/3 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) 1) (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 a a -1/9) 1) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 a -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 a -1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 a -1/3) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 a -1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 a -1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 a -1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 a -1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 a -1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a 1 -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 a -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 a) (pow.f64 (cbrt.f64 a) 2) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (sqrt.f64 a) -1/3))))) |
| 1× | egg-herbie |
| 805× | associate-*l/_binary64 |
| 718× | associate-/r*_binary64 |
| 398× | fma-def_binary64 |
| 369× | associate-/r/_binary64 |
| 349× | distribute-rgt-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 95 | 916 |
| 1 | 268 | 890 |
| 2 | 874 | 875 |
| 3 | 3787 | 752 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)) |
(*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) |
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (*.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3)))) |
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3))))) |
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (*.f64 (pow.f64 a 3) rand)) (sqrt.f64 -3))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3)))))) |
(*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)) |
(+.f64 (*.f64 a (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1))) |
(+.f64 (*.f64 a (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (+.f64 (*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)) (*.f64 (+.f64 (*.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (*.f64 1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3)))) (pow.f64 a 2)))) |
(+.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/18 (/.f64 (*.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) rand) (sqrt.f64 -3))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3))))) (+.f64 (*.f64 a (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (+.f64 (*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)) (*.f64 (+.f64 (*.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (*.f64 1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3)))) (pow.f64 a 2))))) |
a |
a |
(-.f64 a 1/3) |
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3) |
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3) |
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3) |
(sqrt.f64 -1/3) |
(+.f64 (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3)) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3))) |
(+.f64 (*.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3)))) |
-1/3 |
(-.f64 a 1/3) |
(-.f64 a 1/3) |
(-.f64 a 1/3) |
a |
(-.f64 a 1/3) |
(-.f64 a 1/3) |
(-.f64 a 1/3) |
a |
(-.f64 a 1/3) |
(-.f64 a 1/3) |
(-.f64 a 1/3) |
| Outputs |
|---|
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)) |
(*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) |
(*.f64 (*.f64 1/3 rand) (sqrt.f64 -3)) |
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (*.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3)))) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (*.f64 -3/2 (/.f64 a (/.f64 (sqrt.f64 -3) rand)))) |
(*.f64 rand (+.f64 (*.f64 1/3 (sqrt.f64 -3)) (/.f64 (*.f64 a -3/2) (sqrt.f64 -3)))) |
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3))))) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 -3/2 (/.f64 a (/.f64 (sqrt.f64 -3) rand)) (*.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) (*.f64 rand (*.f64 a a))))))) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 -3/2 (/.f64 a (/.f64 (sqrt.f64 -3) rand)) (*.f64 -1/6 (*.f64 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3)) (*.f64 a (*.f64 a rand)))))) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 -3/2 (/.f64 a (/.f64 (sqrt.f64 -3) rand)) (*.f64 a (*.f64 a (*.f64 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3)) (*.f64 rand -1/6)))))) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (*.f64 rand (+.f64 (/.f64 (*.f64 a -3/2) (sqrt.f64 -3)) (*.f64 (/.f64 -27/8 (sqrt.f64 -3)) (*.f64 a a))))) |
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (*.f64 (pow.f64 a 3) rand)) (sqrt.f64 -3))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3)))))) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 -1/6 (/.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (/.f64 (sqrt.f64 -3) (*.f64 rand (pow.f64 a 3)))) (fma.f64 -3/2 (/.f64 a (/.f64 (sqrt.f64 -3) rand)) (*.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) (*.f64 rand (*.f64 a a)))))))) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 -1/6 (/.f64 (fma.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) -3) 81) (/.f64 (sqrt.f64 -3) (*.f64 rand (pow.f64 a 3)))) (fma.f64 -3/2 (/.f64 a (/.f64 (sqrt.f64 -3) rand)) (*.f64 -1/6 (*.f64 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3)) (*.f64 a (*.f64 a rand))))))) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 -3/2 (/.f64 a (/.f64 (sqrt.f64 -3) rand)) (*.f64 -1/6 (+.f64 (*.f64 (*.f64 rand (*.f64 a a)) (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3))) (*.f64 (pow.f64 a 3) (*.f64 (/.f64 rand (sqrt.f64 -3)) (+.f64 81 (*.f64 -3/2 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)))))))))) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 -3/2 (*.f64 rand (/.f64 a (sqrt.f64 -3))) (*.f64 rand (+.f64 (*.f64 (/.f64 -27/8 (sqrt.f64 -3)) (*.f64 a a)) (*.f64 (/.f64 -135/16 (sqrt.f64 -3)) (pow.f64 a 3)))))) |
(*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)) |
(*.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1)) |
(+.f64 -1/3 (*.f64 (*.f64 rand (sqrt.f64 -3)) -1/9)) |
(fma.f64 (*.f64 rand (sqrt.f64 -3)) -1/9 -1/3) |
(+.f64 (*.f64 a (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1))) |
(fma.f64 a (+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1) (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))) (*.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1))) |
(fma.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (+.f64 -1/3 (*.f64 (*.f64 rand (sqrt.f64 -3)) -1/9))) |
(fma.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (fma.f64 (*.f64 rand (sqrt.f64 -3)) -1/9 -1/3)) |
(+.f64 (*.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1) (+.f64 a -1/3)) (*.f64 a (*.f64 1/2 (/.f64 rand (sqrt.f64 -3))))) |
(+.f64 (*.f64 a (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (+.f64 (*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)) (*.f64 (+.f64 (*.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (*.f64 1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3)))) (pow.f64 a 2)))) |
(fma.f64 a (+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1) (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))) (fma.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1) (*.f64 (*.f64 a a) (fma.f64 -3/2 (/.f64 rand (sqrt.f64 -3)) (*.f64 1/18 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand))))))) |
(fma.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (fma.f64 (*.f64 a a) (fma.f64 -3/2 (/.f64 rand (sqrt.f64 -3)) (*.f64 1/18 (*.f64 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3)) rand))) (+.f64 -1/3 (*.f64 (*.f64 rand (sqrt.f64 -3)) -1/9)))) |
(fma.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (fma.f64 a (*.f64 a (fma.f64 -3/2 (/.f64 rand (sqrt.f64 -3)) (*.f64 1/18 (*.f64 rand (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3)))))) (fma.f64 (*.f64 rand (sqrt.f64 -3)) -1/9 -1/3))) |
(fma.f64 a (*.f64 a (*.f64 rand (+.f64 (/.f64 -3/2 (sqrt.f64 -3)) (/.f64 9/8 (sqrt.f64 -3))))) (+.f64 (*.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1) (+.f64 a -1/3)) (*.f64 a (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) |
(+.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/18 (/.f64 (*.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) rand) (sqrt.f64 -3))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3))))) (+.f64 (*.f64 a (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (+.f64 (*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)) (*.f64 (+.f64 (*.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (*.f64 1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3)))) (pow.f64 a 2))))) |
(fma.f64 (pow.f64 a 3) (fma.f64 1/18 (/.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (/.f64 (sqrt.f64 -3) rand)) (*.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand)))) (fma.f64 a (+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1) (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))) (fma.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1) (*.f64 (*.f64 a a) (fma.f64 -3/2 (/.f64 rand (sqrt.f64 -3)) (*.f64 1/18 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand)))))))) |
(fma.f64 (pow.f64 a 3) (fma.f64 -1/6 (*.f64 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3)) rand) (*.f64 1/18 (/.f64 (fma.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) -3) 81) (/.f64 (sqrt.f64 -3) rand)))) (fma.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (fma.f64 (*.f64 a a) (fma.f64 -3/2 (/.f64 rand (sqrt.f64 -3)) (*.f64 1/18 (*.f64 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3)) rand))) (+.f64 -1/3 (*.f64 (*.f64 rand (sqrt.f64 -3)) -1/9))))) |
(fma.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (fma.f64 (pow.f64 a 3) (fma.f64 -1/6 (*.f64 rand (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3))) (*.f64 1/18 (*.f64 (/.f64 rand (sqrt.f64 -3)) (+.f64 81 (*.f64 -3/2 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))))))) (fma.f64 a (*.f64 a (fma.f64 -3/2 (/.f64 rand (sqrt.f64 -3)) (*.f64 1/18 (*.f64 rand (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3)))))) (fma.f64 (*.f64 rand (sqrt.f64 -3)) -1/9 -1/3)))) |
(fma.f64 (pow.f64 a 3) (*.f64 rand (+.f64 (/.f64 45/16 (sqrt.f64 -3)) (/.f64 -27/8 (sqrt.f64 -3)))) (fma.f64 a (*.f64 a (*.f64 rand (+.f64 (/.f64 -3/2 (sqrt.f64 -3)) (/.f64 9/8 (sqrt.f64 -3))))) (+.f64 (*.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1) (+.f64 a -1/3)) (*.f64 a (*.f64 1/2 (/.f64 rand (sqrt.f64 -3))))))) |
a |
a |
(-.f64 a 1/3) |
(+.f64 a -1/3) |
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3) |
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3) |
(+.f64 a (fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand -1/3)) |
(+.f64 a (fma.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) -1/3)) |
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3) |
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3) |
(+.f64 a (fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand -1/3)) |
(+.f64 a (fma.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) -1/3)) |
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3) |
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3) |
(+.f64 a (fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand -1/3)) |
(+.f64 a (fma.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) -1/3)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) |
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3) |
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3) |
(+.f64 a (fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand -1/3)) |
(+.f64 a (fma.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) -1/3)) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3) |
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3) |
(+.f64 a (fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand -1/3)) |
(+.f64 a (fma.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) -1/3)) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3) |
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3) |
(+.f64 a (fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand -1/3)) |
(+.f64 a (fma.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) -1/3)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) |
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3) |
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3) |
(+.f64 a (fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand -1/3)) |
(+.f64 a (fma.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) -1/3)) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3) |
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3) |
(+.f64 a (fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand -1/3)) |
(+.f64 a (fma.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) -1/3)) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3) |
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3) |
(+.f64 a (fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand -1/3)) |
(+.f64 a (fma.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) -1/3)) |
(sqrt.f64 -1/3) |
(+.f64 (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3)) |
(fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (sqrt.f64 -1/3)) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3))) |
(fma.f64 -1/8 (/.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -1/3) 3)) (fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (sqrt.f64 -1/3))) |
(+.f64 (fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (sqrt.f64 -1/3)) (*.f64 3/8 (/.f64 (*.f64 a a) (sqrt.f64 -1/3)))) |
(fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (fma.f64 3/8 (/.f64 (*.f64 a a) (sqrt.f64 -1/3)) (sqrt.f64 -1/3))) |
(+.f64 (sqrt.f64 -1/3) (*.f64 (/.f64 a (sqrt.f64 -1/3)) (+.f64 1/2 (*.f64 -1/8 (/.f64 a -1/3))))) |
(+.f64 (*.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3)))) |
(fma.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) (fma.f64 -1/8 (/.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -1/3) 3)) (fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (sqrt.f64 -1/3)))) |
(+.f64 (fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (sqrt.f64 -1/3)) (fma.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) (*.f64 3/8 (/.f64 (*.f64 a a) (sqrt.f64 -1/3))))) |
(fma.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) (fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (fma.f64 3/8 (/.f64 (*.f64 a a) (sqrt.f64 -1/3)) (sqrt.f64 -1/3)))) |
(+.f64 (sqrt.f64 -1/3) (fma.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) (*.f64 (/.f64 a (sqrt.f64 -1/3)) (+.f64 1/2 (*.f64 -1/8 (/.f64 a -1/3)))))) |
-1/3 |
(-.f64 a 1/3) |
(+.f64 a -1/3) |
(-.f64 a 1/3) |
(+.f64 a -1/3) |
(-.f64 a 1/3) |
(+.f64 a -1/3) |
a |
(-.f64 a 1/3) |
(+.f64 a -1/3) |
(-.f64 a 1/3) |
(+.f64 a -1/3) |
(-.f64 a 1/3) |
(+.f64 a -1/3) |
a |
(-.f64 a 1/3) |
(+.f64 a -1/3) |
(-.f64 a 1/3) |
(+.f64 a -1/3) |
(-.f64 a 1/3) |
(+.f64 a -1/3) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 a 1/3) |
Compiled 7 to 5 computations (28.6% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | a | @ | 0 | (-.f64 a 1/3) |
| 0.0ms | a | @ | inf | (-.f64 a 1/3) |
| 0.0ms | a | @ | -inf | (-.f64 a 1/3) |
| 1× | batch-egg-rewrite |
| 479× | pow1_binary64 |
| 475× | add-sqr-sqrt_binary64 |
| 452× | add-log-exp_binary64 |
| 452× | log1p-expm1-u_binary64 |
| 452× | expm1-log1p-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 4 |
| 1 | 93 | 4 |
| 2 | 1165 | 4 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 a 1/3) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 a -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/3 a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 a -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 a -1/3)) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 1 (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 a a -1/9) (/.f64 1 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))) (+.f64 (pow.f64 a 3) -1/27)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 a 3) -1/27) (+.f64 (*.f64 a a) (-.f64 1/9 (*.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 a a -1/9) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 a a -1/9) (-.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 a 3) -1/27)) (neg.f64 (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 a a -1/9)) (neg.f64 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 a -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 a -1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 a -1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 a -1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 a -1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 a -1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 a -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (sqrt.f64 a) -1/3))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 2 | 3 |
| 1× | saturated |
| Inputs |
|---|
-1/3 |
a |
a |
| Outputs |
|---|
-1/3 |
a |
a |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 a -1/3) |
| 0.0b | (sqrt.f64 (+.f64 a -1/3)) | |
| ✓ | 0.4b | (*.f64 1/3 rand) |
| ✓ | 0.4b | (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)) |
Compiled 24 to 17 computations (29.2% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | a | @ | -inf | (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)) |
| 1.0ms | rand | @ | 0 | (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)) |
| 1.0ms | a | @ | inf | (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)) |
| 1.0ms | a | @ | 0 | (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)) |
| 1.0ms | rand | @ | inf | (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)) |
| 1× | batch-egg-rewrite |
| 914× | pow1_binary64 |
| 850× | add-log-exp_binary64 |
| 850× | log1p-expm1-u_binary64 |
| 850× | expm1-log1p-u_binary64 |
| 834× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 20 |
| 1 | 192 | 20 |
| 2 | 2297 | 20 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)) |
(*.f64 1/3 rand) |
(+.f64 a -1/3) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/9 (*.f64 rand rand))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3))) (*.f64 1/3 rand)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 3/2) (pow.f64 (*.f64 1/3 rand) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 1/3 rand) 3) (pow.f64 (+.f64 a -1/3) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/3 rand)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 rand) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/3 rand) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/3 rand)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/3 rand)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/9 (*.f64 rand rand)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) rand))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/3 rand) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 rand)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/3 rand)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/3 rand))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 a -1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 a a) (+.f64 a 1/3)) (/.f64 1/9 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 a -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 a -1/3)) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 a -1/3)) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 a -1/3) 1/4) (*.f64 (pow.f64 (+.f64 a -1/3) 1/4) (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 1 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 a a -1/9) (/.f64 1 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (pow.f64 (+.f64 a -1/3) 1/4)) (pow.f64 (+.f64 a -1/3) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (cbrt.f64 (+.f64 a -1/3))) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))) (+.f64 -1/27 (pow.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1/27 (pow.f64 a 3)) (+.f64 1/9 (-.f64 (*.f64 a a) (*.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 a a -1/9) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -1/27 (pow.f64 a 3))) (neg.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 a a -1/9)) (neg.f64 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 a -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 a -1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 a -1/3) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 a -1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 a -1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 a -1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 a -1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 a -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (sqrt.f64 a) -1/3))))) |
| 1× | egg-herbie |
| 848× | times-frac_binary64 |
| 707× | associate-/l*_binary64 |
| 431× | fma-def_binary64 |
| 380× | distribute-lft-out_binary64 |
| 360× | associate-/r*_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 309 |
| 1 | 101 | 303 |
| 2 | 283 | 303 |
| 3 | 998 | 300 |
| 4 | 6292 | 287 |
| 5 | 7331 | 287 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) |
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3)))) |
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))))) |
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (*.f64 1/48 (/.f64 (*.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5)))))) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
-1/3 |
(-.f64 a 1/3) |
(-.f64 a 1/3) |
(-.f64 a 1/3) |
a |
(-.f64 a 1/3) |
(-.f64 a 1/3) |
(-.f64 a 1/3) |
a |
(-.f64 a 1/3) |
(-.f64 a 1/3) |
(-.f64 a 1/3) |
| Outputs |
|---|
(*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) |
(*.f64 rand (*.f64 1/3 (sqrt.f64 -1/3))) |
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3)))) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 1/6 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)))) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (/.f64 1/6 (/.f64 (sqrt.f64 -1/3) (*.f64 rand a)))) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 1/6 (*.f64 rand (/.f64 a (sqrt.f64 -1/3))))) |
(*.f64 rand (+.f64 (/.f64 1/6 (/.f64 (sqrt.f64 -1/3) a)) (*.f64 1/3 (sqrt.f64 -1/3)))) |
(*.f64 rand (+.f64 (*.f64 1/3 (sqrt.f64 -1/3)) (/.f64 1/6 (/.f64 (sqrt.f64 -1/3) a)))) |
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))))) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (*.f64 -1/24 (/.f64 (*.f64 rand (*.f64 a a)) (pow.f64 (sqrt.f64 -1/3) 3))))) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (*.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (*.f64 1/8 (/.f64 (*.f64 rand (*.f64 a a)) (sqrt.f64 -1/3))))) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (*.f64 rand (/.f64 a (sqrt.f64 -1/3))) (*.f64 1/8 (/.f64 rand (/.f64 (sqrt.f64 -1/3) (*.f64 a a)))))) |
(fma.f64 (/.f64 a (/.f64 (sqrt.f64 -1/3) a)) (/.f64 rand 8) (*.f64 rand (+.f64 (/.f64 1/6 (/.f64 (sqrt.f64 -1/3) a)) (*.f64 1/3 (sqrt.f64 -1/3))))) |
(*.f64 rand (+.f64 (*.f64 (/.f64 a (sqrt.f64 -1/3)) (+.f64 (/.f64 (*.f64 a -1/24) -1/3) 1/6)) (*.f64 1/3 (sqrt.f64 -1/3)))) |
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (*.f64 1/48 (/.f64 (*.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5)))))) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (fma.f64 -1/24 (/.f64 (*.f64 rand (*.f64 a a)) (pow.f64 (sqrt.f64 -1/3) 3)) (*.f64 1/48 (/.f64 (*.f64 rand (pow.f64 a 3)) (pow.f64 (sqrt.f64 -1/3) 5)))))) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (*.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (fma.f64 1/48 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 (sqrt.f64 -1/3) 5) rand)) (*.f64 1/8 (/.f64 (*.f64 rand (*.f64 a a)) (sqrt.f64 -1/3)))))) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (*.f64 rand (/.f64 a (sqrt.f64 -1/3))) (fma.f64 1/8 (/.f64 rand (/.f64 (sqrt.f64 -1/3) (*.f64 a a))) (*.f64 1/48 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 (sqrt.f64 -1/3) 5) rand)))))) |
(fma.f64 1/48 (*.f64 rand (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (fma.f64 (/.f64 a (/.f64 (sqrt.f64 -1/3) a)) (/.f64 rand 8) (*.f64 rand (+.f64 (/.f64 1/6 (/.f64 (sqrt.f64 -1/3) a)) (*.f64 1/3 (sqrt.f64 -1/3)))))) |
(*.f64 rand (+.f64 (*.f64 (/.f64 a (sqrt.f64 -1/3)) (+.f64 (/.f64 (*.f64 a -1/24) -1/3) 1/6)) (+.f64 (*.f64 1/3 (sqrt.f64 -1/3)) (*.f64 1/48 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)))))) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 1/3 (*.f64 rand (sqrt.f64 (-.f64 a 1/3)))) |
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)) |
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 1/3 (*.f64 rand (sqrt.f64 (-.f64 a 1/3)))) |
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)) |
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 1/3 (*.f64 rand (sqrt.f64 (-.f64 a 1/3)))) |
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)) |
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 1/3 (*.f64 rand (sqrt.f64 (-.f64 a 1/3)))) |
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)) |
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 1/3 (*.f64 rand (sqrt.f64 (-.f64 a 1/3)))) |
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)) |
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 1/3 (*.f64 rand (sqrt.f64 (-.f64 a 1/3)))) |
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)) |
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 1/3 (*.f64 rand (sqrt.f64 (-.f64 a 1/3)))) |
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)) |
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 1/3 (*.f64 rand (sqrt.f64 (-.f64 a 1/3)))) |
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)) |
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 1/3 (*.f64 rand (sqrt.f64 (-.f64 a 1/3)))) |
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)) |
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 1/3 (*.f64 rand (sqrt.f64 (-.f64 a 1/3)))) |
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)) |
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 1/3 (*.f64 rand (sqrt.f64 (-.f64 a 1/3)))) |
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)) |
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 1/3 (*.f64 rand (sqrt.f64 (-.f64 a 1/3)))) |
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)) |
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) |
-1/3 |
(-.f64 a 1/3) |
(+.f64 a -1/3) |
(-.f64 a 1/3) |
(+.f64 a -1/3) |
(-.f64 a 1/3) |
(+.f64 a -1/3) |
a |
(-.f64 a 1/3) |
(+.f64 a -1/3) |
(-.f64 a 1/3) |
(+.f64 a -1/3) |
(-.f64 a 1/3) |
(+.f64 a -1/3) |
a |
(-.f64 a 1/3) |
(+.f64 a -1/3) |
(-.f64 a 1/3) |
(+.f64 a -1/3) |
(-.f64 a 1/3) |
(+.f64 a -1/3) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (-.f64 a 1/3) | |
| ✓ | 0.0b | (sqrt.f64 (-.f64 a 1/3)) |
| ✓ | 0.2b | (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand) |
| ✓ | 0.4b | (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
Compiled 48 to 34 computations (29.2% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 26.0ms | a | @ | 0 | (sqrt.f64 (-.f64 a 1/3)) |
| 1.0ms | a | @ | -inf | (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
| 1.0ms | a | @ | -inf | (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand) |
| 0.0ms | a | @ | inf | (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand) |
| 0.0ms | a | @ | inf | (sqrt.f64 (-.f64 a 1/3)) |
| 1× | batch-egg-rewrite |
| 861× | pow1_binary64 |
| 801× | add-log-exp_binary64 |
| 801× | log1p-expm1-u_binary64 |
| 801× | expm1-log1p-u_binary64 |
| 785× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 27 |
| 1 | 174 | 27 |
| 2 | 2153 | 27 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 (sqrt.f64 (-.f64 a 1/3)) rand) |
(sqrt.f64 (-.f64 a 1/3)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3))) rand))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 3/2) (pow.f64 rand 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 rand 3) (pow.f64 (+.f64 a -1/3) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (+.f64 a -1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 a -1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (cbrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 a -1/3)) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 a -1/3) 1/4) (pow.f64 (+.f64 a -1/3) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 a -1/3) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 a -1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 a -1/3) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 a -1/3) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 a -1/3) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (+.f64 a -1/3)))))))) |
| 1× | egg-herbie |
| 727× | distribute-rgt-out_binary64 |
| 626× | associate-*r*_binary64 |
| 586× | associate-*l*_binary64 |
| 582× | associate-*l/_binary64 |
| 524× | associate-/r*_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 324 |
| 1 | 156 | 310 |
| 2 | 485 | 306 |
| 3 | 1743 | 287 |
| 4 | 6563 | 277 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) |
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3)))) |
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))))) |
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (*.f64 1/48 (/.f64 (*.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5)))))) |
(*.f64 rand (sqrt.f64 -1/3)) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (*.f64 rand (sqrt.f64 -1/3))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3)))))) |
(sqrt.f64 -1/3) |
(+.f64 (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3)) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3))) |
(+.f64 (*.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3)))) |
| Outputs |
|---|
(*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) |
(*.f64 (sqrt.f64 -1/3) (*.f64 1/3 rand)) |
(*.f64 rand (*.f64 1/3 (sqrt.f64 -1/3))) |
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3)))) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 1/6 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)))) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 (/.f64 a (sqrt.f64 -1/3)) (*.f64 rand 1/6))) |
(*.f64 rand (+.f64 (*.f64 1/3 (sqrt.f64 -1/3)) (*.f64 1/6 (/.f64 a (sqrt.f64 -1/3))))) |
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))))) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (*.f64 -1/24 (/.f64 (*.f64 rand (*.f64 a a)) (pow.f64 (sqrt.f64 -1/3) 3))))) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (*.f64 1/8 (/.f64 (*.f64 rand (*.f64 a a)) (sqrt.f64 -1/3))))) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (*.f64 rand (/.f64 a (sqrt.f64 -1/3))) (/.f64 (*.f64 1/8 (*.f64 rand (*.f64 a a))) (sqrt.f64 -1/3)))) |
(fma.f64 1/8 (*.f64 (*.f64 a a) (/.f64 rand (sqrt.f64 -1/3))) (*.f64 rand (+.f64 (*.f64 1/3 (sqrt.f64 -1/3)) (*.f64 1/6 (/.f64 a (sqrt.f64 -1/3)))))) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 (*.f64 rand (/.f64 a (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/24 (/.f64 a -1/3)) 1/6))) |
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (*.f64 1/48 (/.f64 (*.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5)))))) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (fma.f64 -1/24 (/.f64 (*.f64 rand (*.f64 a a)) (pow.f64 (sqrt.f64 -1/3) 3)) (*.f64 1/48 (/.f64 (*.f64 rand (pow.f64 a 3)) (pow.f64 (sqrt.f64 -1/3) 5)))))) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (fma.f64 1/48 (/.f64 rand (/.f64 (pow.f64 (sqrt.f64 -1/3) 5) (pow.f64 a 3))) (*.f64 1/8 (/.f64 (*.f64 rand (*.f64 a a)) (sqrt.f64 -1/3)))))) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (*.f64 rand (/.f64 a (sqrt.f64 -1/3))) (fma.f64 1/48 (*.f64 rand (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (/.f64 (*.f64 1/8 (*.f64 rand (*.f64 a a))) (sqrt.f64 -1/3))))) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/8 (*.f64 (*.f64 a a) (/.f64 rand (sqrt.f64 -1/3))) (*.f64 rand (+.f64 (*.f64 1/6 (/.f64 a (sqrt.f64 -1/3))) (/.f64 (*.f64 1/48 (pow.f64 a 3)) (pow.f64 (sqrt.f64 -1/3) 5)))))) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/48 (*.f64 (pow.f64 a 3) (/.f64 rand (pow.f64 (sqrt.f64 -1/3) 5))) (*.f64 (*.f64 rand (/.f64 a (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/24 (/.f64 a -1/3)) 1/6)))) |
(*.f64 rand (sqrt.f64 -1/3)) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (*.f64 rand (sqrt.f64 -1/3))) |
(fma.f64 1/2 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (*.f64 rand (sqrt.f64 -1/3))) |
(fma.f64 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) 1/2 (*.f64 rand (sqrt.f64 -1/3))) |
(fma.f64 rand (sqrt.f64 -1/3) (*.f64 (/.f64 a (/.f64 (sqrt.f64 -1/3) 1/2)) rand)) |
(*.f64 rand (fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (sqrt.f64 -1/3))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))))) |
(fma.f64 1/2 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (fma.f64 rand (sqrt.f64 -1/3) (*.f64 (/.f64 (*.f64 rand (*.f64 a a)) (pow.f64 (sqrt.f64 -1/3) 3)) -1/8))) |
(fma.f64 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) 1/2 (fma.f64 rand (sqrt.f64 -1/3) (*.f64 3/8 (/.f64 (*.f64 rand (*.f64 a a)) (sqrt.f64 -1/3))))) |
(fma.f64 rand (sqrt.f64 -1/3) (fma.f64 (*.f64 rand (/.f64 a (sqrt.f64 -1/3))) 1/2 (*.f64 (/.f64 (/.f64 (*.f64 a a) 8/3) (sqrt.f64 -1/3)) rand))) |
(fma.f64 rand (sqrt.f64 -1/3) (*.f64 rand (*.f64 (/.f64 a (sqrt.f64 -1/3)) (+.f64 1/2 (*.f64 -1/8 (/.f64 a -1/3)))))) |
(fma.f64 rand (sqrt.f64 -1/3) (*.f64 (*.f64 rand (/.f64 a (sqrt.f64 -1/3))) (+.f64 1/2 (*.f64 -1/8 (/.f64 a -1/3))))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3)))))) |
(fma.f64 1/2 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (fma.f64 rand (sqrt.f64 -1/3) (fma.f64 1/16 (/.f64 (*.f64 rand (pow.f64 a 3)) (pow.f64 (sqrt.f64 -1/3) 5)) (*.f64 (/.f64 (*.f64 rand (*.f64 a a)) (pow.f64 (sqrt.f64 -1/3) 3)) -1/8)))) |
(fma.f64 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) 1/2 (fma.f64 rand (sqrt.f64 -1/3) (fma.f64 (/.f64 rand (/.f64 (pow.f64 (sqrt.f64 -1/3) 5) (pow.f64 a 3))) 1/16 (*.f64 3/8 (/.f64 (*.f64 rand (*.f64 a a)) (sqrt.f64 -1/3)))))) |
(fma.f64 rand (sqrt.f64 -1/3) (fma.f64 (*.f64 rand (/.f64 a (sqrt.f64 -1/3))) 1/2 (fma.f64 (*.f64 rand (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) 1/16 (*.f64 (/.f64 (/.f64 (*.f64 a a) 8/3) (sqrt.f64 -1/3)) rand)))) |
(+.f64 (*.f64 rand (+.f64 (sqrt.f64 -1/3) (*.f64 (pow.f64 a 3) (/.f64 1/16 (pow.f64 (sqrt.f64 -1/3) 5))))) (*.f64 rand (*.f64 (/.f64 a (sqrt.f64 -1/3)) (+.f64 1/2 (*.f64 -1/8 (/.f64 a -1/3)))))) |
(+.f64 (*.f64 rand (fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (sqrt.f64 -1/3))) (*.f64 (*.f64 rand (*.f64 a a)) (+.f64 (/.f64 3/8 (sqrt.f64 -1/3)) (/.f64 (*.f64 a 1/16) (pow.f64 (sqrt.f64 -1/3) 5))))) |
(sqrt.f64 -1/3) |
(+.f64 (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3)) |
(fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (sqrt.f64 -1/3)) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3))) |
(fma.f64 -1/8 (/.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -1/3) 3)) (fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (sqrt.f64 -1/3))) |
(+.f64 (fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (sqrt.f64 -1/3)) (*.f64 3/8 (/.f64 (*.f64 a a) (sqrt.f64 -1/3)))) |
(fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (fma.f64 3/8 (/.f64 a (/.f64 (sqrt.f64 -1/3) a)) (sqrt.f64 -1/3))) |
(+.f64 (sqrt.f64 -1/3) (*.f64 (/.f64 a (sqrt.f64 -1/3)) (+.f64 1/2 (*.f64 -1/8 (/.f64 a -1/3))))) |
(+.f64 (*.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3)))) |
(fma.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) (fma.f64 -1/8 (/.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -1/3) 3)) (fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (sqrt.f64 -1/3)))) |
(+.f64 (fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (sqrt.f64 -1/3)) (fma.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) (*.f64 3/8 (/.f64 (*.f64 a a) (sqrt.f64 -1/3))))) |
(fma.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) (fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (fma.f64 3/8 (/.f64 a (/.f64 (sqrt.f64 -1/3) a)) (sqrt.f64 -1/3)))) |
(+.f64 (sqrt.f64 -1/3) (fma.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) (*.f64 (/.f64 a (sqrt.f64 -1/3)) (+.f64 1/2 (*.f64 -1/8 (/.f64 a -1/3)))))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (sqrt.f64 (+.f64 a -1/3)) | |
| ✓ | 0.1b | (*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (/.f64 (neg.f64 rand) (*.f64 -3 (sqrt.f64 (+.f64 a -1/3)))))) |
| ✓ | 0.2b | (/.f64 (neg.f64 rand) (*.f64 -3 (sqrt.f64 (+.f64 a -1/3)))) |
| ✓ | 0.3b | (*.f64 -3 (sqrt.f64 (+.f64 a -1/3))) |
Compiled 68 to 51 computations (25% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | a | @ | -inf | (*.f64 -3 (sqrt.f64 (+.f64 a -1/3))) |
| 1.0ms | a | @ | -inf | (/.f64 (neg.f64 rand) (*.f64 -3 (sqrt.f64 (+.f64 a -1/3)))) |
| 1.0ms | a | @ | 0 | (*.f64 -3 (sqrt.f64 (+.f64 a -1/3))) |
| 1.0ms | a | @ | -inf | (*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (/.f64 (neg.f64 rand) (*.f64 -3 (sqrt.f64 (+.f64 a -1/3)))))) |
| 1.0ms | a | @ | inf | (*.f64 -3 (sqrt.f64 (+.f64 a -1/3))) |
| 1× | batch-egg-rewrite |
| 878× | prod-diff_binary64 |
| 360× | fma-def_binary64 |
| 268× | egg-rr |
| 254× | expm1-udef_binary64 |
| 254× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 46 |
| 1 | 361 | 40 |
| 2 | 4816 | 40 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -3 (sqrt.f64 (+.f64 a -1/3))) |
(/.f64 (neg.f64 rand) (*.f64 -3 (sqrt.f64 (+.f64 a -1/3)))) |
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (/.f64 (neg.f64 rand) (*.f64 -3 (sqrt.f64 (+.f64 a -1/3)))))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -3 (sqrt.f64 (+.f64 a -1/3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -3 (sqrt.f64 (+.f64 a -1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -3 (sqrt.f64 (+.f64 a -1/3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -3 (sqrt.f64 (+.f64 a -1/3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -3 (sqrt.f64 (+.f64 a -1/3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (+.f64 a -1/3) 9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -3) (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -3 (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -3 (sqrt.f64 (+.f64 a -1/3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -3 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -3 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -3 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -3 (sqrt.f64 (+.f64 a -1/3)))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 -1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 -1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (*.f64 -3 (sqrt.f64 (+.f64 a -1/3)))) (*.f64 -1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 rand (/.f64 -1/3 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 rand (/.f64 1 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 rand rand)) (*.f64 (cbrt.f64 rand) (/.f64 -1/3 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))) (cbrt.f64 (/.f64 (*.f64 rand rand) (*.f64 (+.f64 a -1/3) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 rand rand) (*.f64 (+.f64 a -1/3) 9))) (cbrt.f64 (*.f64 -1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 rand) (*.f64 (sqrt.f64 rand) (/.f64 -1/3 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))) (sqrt.f64 (*.f64 -1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/3 (sqrt.f64 (+.f64 a -1/3))) rand)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 -1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 rand -1/3) (/.f64 1 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (*.f64 rand -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 (+.f64 a -1/3) 9))) (/.f64 rand (cbrt.f64 (*.f64 -3 (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 -3 (sqrt.f64 (+.f64 a -1/3))))) (/.f64 rand (sqrt.f64 (*.f64 -3 (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 rand rand)) -3) (/.f64 (cbrt.f64 rand) (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 rand) -3) (/.f64 (sqrt.f64 rand) (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 rand) (sqrt.f64 (+.f64 a -1/3))) (/.f64 (sqrt.f64 rand) -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 rand rand)) (sqrt.f64 (+.f64 a -1/3))) (/.f64 (cbrt.f64 rand) -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 (+.f64 a -1/3))) (*.f64 rand -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 rand rand)) 1) (/.f64 (cbrt.f64 rand) (*.f64 -3 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 rand) 1) (/.f64 (sqrt.f64 rand) (*.f64 -3 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 rand rand)) (cbrt.f64 (*.f64 (+.f64 a -1/3) 9))) (cbrt.f64 (*.f64 -1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 rand) (cbrt.f64 (*.f64 (+.f64 a -1/3) 9))) (/.f64 (sqrt.f64 rand) (cbrt.f64 (*.f64 -3 (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cbrt.f64 (*.f64 (+.f64 a -1/3) 9))) (/.f64 rand (cbrt.f64 (*.f64 -3 (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 rand rand)) (sqrt.f64 (*.f64 -3 (sqrt.f64 (+.f64 a -1/3))))) (/.f64 (cbrt.f64 rand) (sqrt.f64 (*.f64 -3 (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 (*.f64 -3 (sqrt.f64 (+.f64 a -1/3))))) (/.f64 rand (sqrt.f64 (*.f64 -3 (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 -1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 rand rand) (*.f64 (+.f64 a -1/3) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 rand) (/.f64 -1/3 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 -1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 -1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1)) (pow.f64 (cbrt.f64 (fma.f64 -1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1)) 2) (cbrt.f64 (fma.f64 -1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 -1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1)) (sqrt.f64 (fma.f64 -1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (*.f64 -1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 3)) (/.f64 1 (fma.f64 (*.f64 -1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))) (fma.f64 -1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) -1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (/.f64 (*.f64 rand rand) (*.f64 (+.f64 a -1/3) 9))) (/.f64 1 (fma.f64 -1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1)) -1))))) |
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| 1× | egg-herbie |
| 805× | associate-*l/_binary64 |
| 714× | associate-/r*_binary64 |
| 416× | fma-def_binary64 |
| 370× | associate-/r/_binary64 |
| 349× | distribute-rgt-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 98 | 889 |
| 1 | 277 | 863 |
| 2 | 884 | 848 |
| 3 | 3818 | 723 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -3 (sqrt.f64 -1/3)) |
(+.f64 (*.f64 -3/2 (/.f64 a (sqrt.f64 -1/3))) (*.f64 -3 (sqrt.f64 -1/3))) |
(+.f64 (*.f64 3/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 -3/2 (/.f64 a (sqrt.f64 -1/3))) (*.f64 -3 (sqrt.f64 -1/3)))) |
(+.f64 (*.f64 3/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 -3/2 (/.f64 a (sqrt.f64 -1/3))) (+.f64 (*.f64 -3/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (*.f64 -3 (sqrt.f64 -1/3))))) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)) |
(*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) |
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (*.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3)))) |
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3))))) |
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (*.f64 (pow.f64 a 3) rand)) (sqrt.f64 -3))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3)))))) |
(*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)) |
(+.f64 (*.f64 a (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1))) |
(+.f64 (*.f64 a (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (+.f64 (*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)) (*.f64 (+.f64 (*.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (*.f64 1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3)))) (pow.f64 a 2)))) |
(+.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/18 (/.f64 (*.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) rand) (sqrt.f64 -3))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3))))) (+.f64 (*.f64 a (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (+.f64 (*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)) (*.f64 (+.f64 (*.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (*.f64 1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3)))) (pow.f64 a 2))))) |
a |
a |
(-.f64 a 1/3) |
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3) |
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3) |
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3) |
| Outputs |
|---|
(*.f64 -3 (sqrt.f64 -1/3)) |
(+.f64 (*.f64 -3/2 (/.f64 a (sqrt.f64 -1/3))) (*.f64 -3 (sqrt.f64 -1/3))) |
(fma.f64 -3/2 (/.f64 a (sqrt.f64 -1/3)) (*.f64 -3 (sqrt.f64 -1/3))) |
(fma.f64 -3 (sqrt.f64 -1/3) (*.f64 -3/2 (/.f64 a (sqrt.f64 -1/3)))) |
(+.f64 (*.f64 3/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 -3/2 (/.f64 a (sqrt.f64 -1/3))) (*.f64 -3 (sqrt.f64 -1/3)))) |
(fma.f64 3/8 (/.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -1/3) 3)) (fma.f64 -3/2 (/.f64 a (sqrt.f64 -1/3)) (*.f64 -3 (sqrt.f64 -1/3)))) |
(+.f64 (fma.f64 -3 (sqrt.f64 -1/3) (*.f64 -3/2 (/.f64 a (sqrt.f64 -1/3)))) (*.f64 -9/8 (/.f64 (*.f64 a a) (sqrt.f64 -1/3)))) |
(fma.f64 -3/2 (/.f64 a (sqrt.f64 -1/3)) (fma.f64 -9/8 (/.f64 a (/.f64 (sqrt.f64 -1/3) a)) (*.f64 -3 (sqrt.f64 -1/3)))) |
(fma.f64 -3 (sqrt.f64 -1/3) (*.f64 (/.f64 a (sqrt.f64 -1/3)) (+.f64 -3/2 (/.f64 (*.f64 a 3/8) -1/3)))) |
(+.f64 (*.f64 3/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 -3/2 (/.f64 a (sqrt.f64 -1/3))) (+.f64 (*.f64 -3/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (*.f64 -3 (sqrt.f64 -1/3))))) |
(fma.f64 3/8 (/.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -1/3) 3)) (fma.f64 -3/2 (/.f64 a (sqrt.f64 -1/3)) (fma.f64 -3/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) (*.f64 -3 (sqrt.f64 -1/3))))) |
(+.f64 (*.f64 -9/8 (/.f64 (*.f64 a a) (sqrt.f64 -1/3))) (fma.f64 -3/2 (/.f64 a (sqrt.f64 -1/3)) (fma.f64 -3 (sqrt.f64 -1/3) (/.f64 (*.f64 -3/16 (pow.f64 a 3)) (pow.f64 (sqrt.f64 -1/3) 5))))) |
(fma.f64 -3/2 (/.f64 a (sqrt.f64 -1/3)) (fma.f64 -9/8 (/.f64 a (/.f64 (sqrt.f64 -1/3) a)) (fma.f64 -3 (sqrt.f64 -1/3) (*.f64 -3/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)))))) |
(+.f64 (fma.f64 -3 (sqrt.f64 -1/3) (*.f64 (/.f64 a (sqrt.f64 -1/3)) (+.f64 -3/2 (/.f64 (*.f64 a 3/8) -1/3)))) (*.f64 (/.f64 -3/16 (pow.f64 (sqrt.f64 -1/3) 5)) (pow.f64 a 3))) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) rand)) |
(*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) |
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (*.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3)))) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (*.f64 -3/2 (/.f64 a (/.f64 (sqrt.f64 -3) rand)))) |
(fma.f64 -3/2 (/.f64 a (/.f64 (sqrt.f64 -3) rand)) (*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))) |
(*.f64 rand (+.f64 (*.f64 1/3 (sqrt.f64 -3)) (/.f64 (*.f64 -3/2 a) (sqrt.f64 -3)))) |
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3))))) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 -3/2 (/.f64 a (/.f64 (sqrt.f64 -3) rand)) (*.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) (*.f64 (*.f64 a a) rand)))))) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 -3/2 (/.f64 a (/.f64 (sqrt.f64 -3) rand)) (*.f64 -1/6 (*.f64 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3)) (*.f64 a (*.f64 a rand)))))) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 -3/2 (/.f64 a (/.f64 (sqrt.f64 -3) rand)) (*.f64 a (*.f64 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand)) (*.f64 -1/6 a))))) |
(fma.f64 -3/2 (*.f64 (/.f64 rand (sqrt.f64 -3)) a) (*.f64 rand (+.f64 (*.f64 1/3 (sqrt.f64 -3)) (*.f64 (/.f64 -27/8 (sqrt.f64 -3)) (*.f64 a a))))) |
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (*.f64 (pow.f64 a 3) rand)) (sqrt.f64 -3))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3)))))) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 -1/6 (/.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (/.f64 (sqrt.f64 -3) (*.f64 (pow.f64 a 3) rand))) (fma.f64 -3/2 (/.f64 a (/.f64 (sqrt.f64 -3) rand)) (*.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) (*.f64 (*.f64 a a) rand))))))) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 -1/6 (/.f64 (fma.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) -3) 81) (/.f64 (/.f64 (sqrt.f64 -3) rand) (pow.f64 a 3))) (fma.f64 -3/2 (/.f64 a (/.f64 (sqrt.f64 -3) rand)) (*.f64 -1/6 (*.f64 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3)) (*.f64 a (*.f64 a rand))))))) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 -3/2 (/.f64 a (/.f64 (sqrt.f64 -3) rand)) (*.f64 -1/6 (+.f64 (*.f64 (*.f64 a (*.f64 a rand)) (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3))) (*.f64 (pow.f64 a 3) (*.f64 (/.f64 rand (sqrt.f64 -3)) (+.f64 81 (*.f64 -3/2 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)))))))))) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 -3/2 (*.f64 (/.f64 rand (sqrt.f64 -3)) a) (*.f64 rand (+.f64 (*.f64 (/.f64 -27/8 (sqrt.f64 -3)) (*.f64 a a)) (*.f64 (/.f64 -135/16 (sqrt.f64 -3)) (pow.f64 a 3)))))) |
(*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)) |
(*.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1)) |
(+.f64 -1/3 (*.f64 (*.f64 rand (sqrt.f64 -3)) -1/9)) |
(fma.f64 (*.f64 rand (sqrt.f64 -3)) -1/9 -1/3) |
(fma.f64 (*.f64 -1/9 rand) (sqrt.f64 -3) -1/3) |
(+.f64 (*.f64 a (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1))) |
(fma.f64 a (+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1) (/.f64 (*.f64 1/2 rand) (sqrt.f64 -3))) (*.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1))) |
(fma.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (+.f64 -1/3 (*.f64 (*.f64 rand (sqrt.f64 -3)) -1/9))) |
(fma.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (fma.f64 (*.f64 rand (sqrt.f64 -3)) -1/9 -1/3)) |
(+.f64 (*.f64 (fma.f64 (sqrt.f64 -3) (*.f64 1/3 rand) 1) (+.f64 -1/3 a)) (*.f64 a (*.f64 1/2 (/.f64 rand (sqrt.f64 -3))))) |
(+.f64 (*.f64 a (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (+.f64 (*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)) (*.f64 (+.f64 (*.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (*.f64 1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3)))) (pow.f64 a 2)))) |
(fma.f64 a (+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1) (/.f64 (*.f64 1/2 rand) (sqrt.f64 -3))) (fma.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1) (*.f64 (*.f64 a a) (fma.f64 -3/2 (/.f64 rand (sqrt.f64 -3)) (*.f64 1/18 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand))))))) |
(fma.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (fma.f64 (*.f64 a a) (fma.f64 -3/2 (/.f64 rand (sqrt.f64 -3)) (*.f64 1/18 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand)))) (+.f64 -1/3 (*.f64 (*.f64 rand (sqrt.f64 -3)) -1/9)))) |
(fma.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (fma.f64 a (*.f64 a (fma.f64 -3/2 (/.f64 rand (sqrt.f64 -3)) (*.f64 1/18 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand))))) (fma.f64 (*.f64 rand (sqrt.f64 -3)) -1/9 -1/3))) |
(fma.f64 a (*.f64 a (*.f64 rand (+.f64 (/.f64 -3/2 (sqrt.f64 -3)) (/.f64 9/8 (sqrt.f64 -3))))) (+.f64 (*.f64 (fma.f64 (sqrt.f64 -3) (*.f64 1/3 rand) 1) (+.f64 -1/3 a)) (*.f64 a (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) |
(+.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/18 (/.f64 (*.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) rand) (sqrt.f64 -3))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3))))) (+.f64 (*.f64 a (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (+.f64 (*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)) (*.f64 (+.f64 (*.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (*.f64 1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3)))) (pow.f64 a 2))))) |
(fma.f64 (pow.f64 a 3) (fma.f64 1/18 (/.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (/.f64 (sqrt.f64 -3) rand)) (*.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand)))) (fma.f64 a (+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1) (/.f64 (*.f64 1/2 rand) (sqrt.f64 -3))) (fma.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1) (*.f64 (*.f64 a a) (fma.f64 -3/2 (/.f64 rand (sqrt.f64 -3)) (*.f64 1/18 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand)))))))) |
(fma.f64 (pow.f64 a 3) (fma.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand)) (*.f64 1/18 (/.f64 (fma.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) -3) 81) (/.f64 (sqrt.f64 -3) rand)))) (fma.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (fma.f64 (*.f64 a a) (fma.f64 -3/2 (/.f64 rand (sqrt.f64 -3)) (*.f64 1/18 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand)))) (+.f64 -1/3 (*.f64 (*.f64 rand (sqrt.f64 -3)) -1/9))))) |
(fma.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (fma.f64 (pow.f64 a 3) (fma.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand)) (*.f64 1/18 (*.f64 (/.f64 rand (sqrt.f64 -3)) (+.f64 81 (*.f64 -3/2 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))))))) (fma.f64 a (*.f64 a (fma.f64 -3/2 (/.f64 rand (sqrt.f64 -3)) (*.f64 1/18 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand))))) (fma.f64 (*.f64 rand (sqrt.f64 -3)) -1/9 -1/3)))) |
(fma.f64 (pow.f64 a 3) (*.f64 rand (+.f64 (/.f64 45/16 (sqrt.f64 -3)) (/.f64 -27/8 (sqrt.f64 -3)))) (fma.f64 a (*.f64 a (*.f64 rand (+.f64 (/.f64 -3/2 (sqrt.f64 -3)) (/.f64 9/8 (sqrt.f64 -3))))) (+.f64 (*.f64 (fma.f64 (sqrt.f64 -3) (*.f64 1/3 rand) 1) (+.f64 -1/3 a)) (*.f64 a (*.f64 1/2 (/.f64 rand (sqrt.f64 -3))))))) |
a |
a |
(-.f64 a 1/3) |
(+.f64 a -1/3) |
(+.f64 -1/3 a) |
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3) |
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3) |
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)) |
(+.f64 -1/3 (fma.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) a)) |
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3) |
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3) |
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)) |
(+.f64 -1/3 (fma.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) a)) |
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3) |
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3) |
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)) |
(+.f64 -1/3 (fma.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) a)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) |
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))) |
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3) |
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3) |
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)) |
(+.f64 -1/3 (fma.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) a)) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3) |
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3) |
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)) |
(+.f64 -1/3 (fma.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) a)) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3) |
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3) |
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)) |
(+.f64 -1/3 (fma.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) a)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) |
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))) |
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3) |
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3) |
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)) |
(+.f64 -1/3 (fma.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) a)) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3) |
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3) |
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)) |
(+.f64 -1/3 (fma.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) a)) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3) |
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3) |
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)) |
(+.f64 -1/3 (fma.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) a)) |
Compiled 27548 to 21686 computations (21.3% saved)
14 alts after pruning (11 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 889 | 10 | 899 |
| Fresh | 5 | 1 | 6 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 3 | 4 |
| Total | 896 | 14 | 910 |
| Status | Error | Program |
|---|---|---|
| ▶ | 1.0b | (*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a))))) |
| 63.0b | -1/3 | |
| ▶ | 0.1b | (*.f64 (+.f64 -1/3 a) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3))))) |
| 1.1b | (-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) a) 1/3) | |
| ▶ | 46.6b | (*.f64 (sqrt.f64 a) (*.f64 1/3 rand)) |
| ▶ | 45.7b | (*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) |
| ✓ | 45.8b | (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)) |
| 0.2b | (*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))) | |
| ✓ | 0.1b | (-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3) |
| 19.5b | a | |
| ✓ | 18.2b | (-.f64 a 1/3) |
| ▶ | 60.9b | (sqrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/9 (*.f64 rand rand)))) |
| 44.2b | (/.f64 (fma.f64 a a -1/9) (-.f64 a -1/3)) | |
| 45.8b | (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
Compiled 255 to 200 computations (21.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 -1/3 a) |
| 0.0b | (sqrt.f64 (+.f64 a -1/3)) | |
| ✓ | 0.1b | (*.f64 (+.f64 -1/3 a) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3))))) |
| 0.3b | (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3))) |
Compiled 52 to 39 computations (25% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | a | @ | -inf | (*.f64 (+.f64 -1/3 a) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3))))) |
| 1.0ms | a | @ | 0 | (*.f64 (+.f64 -1/3 a) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3))))) |
| 0.0ms | a | @ | inf | (*.f64 (+.f64 -1/3 a) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3))))) |
| 0.0ms | rand | @ | 0 | (*.f64 (+.f64 -1/3 a) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3))))) |
| 0.0ms | rand | @ | inf | (*.f64 (+.f64 -1/3 a) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3))))) |
| 1× | batch-egg-rewrite |
| 756× | prod-diff_binary64 |
| 392× | fma-def_binary64 |
| 303× | log-div_binary64 |
| 239× | expm1-udef_binary64 |
| 239× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 25 |
| 1 | 302 | 24 |
| 2 | 4232 | 24 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (+.f64 -1/3 a) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3))))) |
(+.f64 -1/3 a) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/3 (+.f64 a (/.f64 (*.f64 (*.f64 rand 1/3) (+.f64 -1/3 a)) (sqrt.f64 (+.f64 -1/3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 a (+.f64 -1/3 (/.f64 (*.f64 (*.f64 rand 1/3) (+.f64 -1/3 a)) (sqrt.f64 (+.f64 -1/3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1/3 a) (/.f64 (*.f64 (*.f64 rand 1/3) (+.f64 -1/3 a)) (sqrt.f64 (+.f64 -1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1/3 a) (*.f64 (/.f64 (*.f64 (*.f64 rand 1/3) (+.f64 -1/3 a)) (sqrt.f64 (+.f64 -1/3 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (*.f64 rand 1/3) (+.f64 -1/3 a)) (sqrt.f64 (+.f64 -1/3 a))) (+.f64 -1/3 a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/3 (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 -1/3 a) -1/2) 1)) (*.f64 a (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 -1/3 a) -1/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 -1/3 a) -1/2) 1)) (*.f64 -1/3 (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 -1/3 a) -1/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 -1/3 a) -1/2) 1) -1/3) (*.f64 (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 -1/3 a) -1/2) 1) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 -1/3 a) -1/2) 1) a) (*.f64 (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 -1/3 a) -1/2) 1) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 -1/3 a) (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 -1/3 a) -1/2) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (+.f64 1 (pow.f64 (/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3)) 3))) (*.f64 (-.f64 (fma.f64 a a 1/9) (*.f64 -1/3 a)) (fma.f64 (/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3)) (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 -1/3 a) -1/2) -1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (+.f64 1 (pow.f64 (/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3)) 3))) (*.f64 (fma.f64 a (+.f64 a 1/3) 1/9) (fma.f64 (/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3)) (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 -1/3 a) -1/2) -1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 a a -1/9) (+.f64 1 (pow.f64 (/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3)) 3))) (*.f64 (+.f64 a 1/3) (fma.f64 (/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3)) (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 -1/3 a) -1/2) -1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/9 (*.f64 a a)) (+.f64 1 (pow.f64 (/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3)) 3))) (*.f64 (-.f64 -1/3 a) (fma.f64 (/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3)) (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 -1/3 a) -1/2) -1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (-.f64 1 (/.f64 (*.f64 (*.f64 rand rand) 1/9) (+.f64 -1/3 a)))) (*.f64 (-.f64 (fma.f64 a a 1/9) (*.f64 -1/3 a)) (-.f64 1 (/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (-.f64 1 (/.f64 (*.f64 (*.f64 rand rand) 1/9) (+.f64 -1/3 a)))) (*.f64 (fma.f64 a (+.f64 a 1/3) 1/9) (-.f64 1 (/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 a a -1/9) (-.f64 1 (/.f64 (*.f64 (*.f64 rand rand) 1/9) (+.f64 -1/3 a)))) (*.f64 (+.f64 a 1/3) (-.f64 1 (/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 1 (/.f64 (*.f64 (*.f64 rand rand) 1/9) (+.f64 -1/3 a)))) (*.f64 (-.f64 -1/3 a) (-.f64 1 (/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3)) 3)) (+.f64 -1/27 (pow.f64 a 3))) (*.f64 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(2) ((x fma.f64 (*.f64 (/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3)) (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2)) (cbrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 -1/3 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 a a) (+.f64 a 1/3)) (/.f64 1/9 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/9 (-.f64 -1/3 a)) (/.f64 (*.f64 a a) (-.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1/3 a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 -1/3 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 -1/3 a)) (sqrt.f64 (+.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 -1/3 a)) (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 -1/3 a)) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))) (sqrt.f64 (+.f64 -1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2) (cbrt.f64 (+.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2) (*.f64 (cbrt.f64 (+.f64 -1/3 a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 -1/3 a) 1/4) (*.f64 (pow.f64 (+.f64 -1/3 a) 1/4) (sqrt.f64 (+.f64 -1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 1 (-.f64 (fma.f64 a a 1/9) (*.f64 -1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 1 (fma.f64 a (+.f64 a 1/3) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 a a -1/9) (/.f64 1 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/9 (*.f64 a a)) (/.f64 1 (-.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (pow.f64 (+.f64 -1/3 a) 1/4)) (pow.f64 (+.f64 -1/3 a) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (cbrt.f64 (+.f64 -1/3 a))) (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 a a 1/9) (*.f64 -1/3 a)) (+.f64 -1/27 (pow.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 a (+.f64 a 1/3) 1/9) (+.f64 -1/27 (pow.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 -1/3 a) (-.f64 1/9 (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1/27 (pow.f64 a 3)) (-.f64 (fma.f64 a a 1/9) (*.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 a (+.f64 a 1/3) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 a a -1/9) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -1/27 (pow.f64 a 3))) (neg.f64 (-.f64 (fma.f64 a a 1/9) (*.f64 -1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -1/27 (pow.f64 a 3))) (neg.f64 (fma.f64 a (+.f64 a 1/3) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 a a -1/9)) (neg.f64 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1/9 (*.f64 a a))) (neg.f64 (-.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) 1) (-.f64 (fma.f64 a a 1/9) (*.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) 1) (fma.f64 a (+.f64 a 1/3) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 a a -1/9) 1) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/9 (*.f64 a a)) 1) (-.f64 -1/3 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 -1/3 a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 -1/3 a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 -1/3 a) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 -1/3 a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 -1/3 a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 -1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 -1/3 a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 -1/3 a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a 1 -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 a -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 a) (pow.f64 (cbrt.f64 a) 2) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (sqrt.f64 a) -1/3))))) |
| 1× | egg-herbie |
| 761× | distribute-rgt-in_binary64 |
| 423× | associate-*l/_binary64 |
| 404× | distribute-rgt-out_binary64 |
| 384× | *-commutative_binary64 |
| 384× | associate-*r/_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 479 |
| 1 | 163 | 462 |
| 2 | 513 | 453 |
| 3 | 2319 | 382 |
| 4 | 6704 | 382 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)) |
(+.f64 (*.f64 a (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1))) |
(+.f64 (*.f64 a (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (+.f64 (*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)) (*.f64 (+.f64 (*.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (*.f64 1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3)))) (pow.f64 a 2)))) |
(+.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/18 (/.f64 (*.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) rand) (sqrt.f64 -3))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3))))) (+.f64 (*.f64 a (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (+.f64 (*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)) (*.f64 (+.f64 (*.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (*.f64 1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3)))) (pow.f64 a 2))))) |
a |
a |
(-.f64 a 1/3) |
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3) |
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3) |
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3) |
-1/3 |
(-.f64 a 1/3) |
(-.f64 a 1/3) |
(-.f64 a 1/3) |
a |
(-.f64 a 1/3) |
(-.f64 a 1/3) |
(-.f64 a 1/3) |
a |
(-.f64 a 1/3) |
(-.f64 a 1/3) |
(-.f64 a 1/3) |
| Outputs |
|---|
(*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)) |
(*.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1)) |
(+.f64 -1/3 (*.f64 (*.f64 rand (sqrt.f64 -3)) -1/9)) |
(fma.f64 (*.f64 -1/9 rand) (sqrt.f64 -3) -1/3) |
(fma.f64 (*.f64 rand -1/9) (sqrt.f64 -3) -1/3) |
(+.f64 (*.f64 a (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1))) |
(fma.f64 a (+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1) (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))) (*.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1))) |
(fma.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (+.f64 -1/3 (*.f64 (*.f64 rand (sqrt.f64 -3)) -1/9))) |
(fma.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (fma.f64 (*.f64 -1/9 rand) (sqrt.f64 -3) -1/3)) |
(+.f64 (*.f64 1/2 (*.f64 a (/.f64 rand (sqrt.f64 -3)))) (*.f64 (fma.f64 (sqrt.f64 -3) (*.f64 1/3 rand) 1) (-.f64 a 1/3))) |
(+.f64 (*.f64 a (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (+.f64 (*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)) (*.f64 (+.f64 (*.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (*.f64 1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3)))) (pow.f64 a 2)))) |
(fma.f64 a (+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1) (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))) (fma.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1) (*.f64 (fma.f64 -3/2 (/.f64 rand (sqrt.f64 -3)) (*.f64 1/18 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand)))) (*.f64 a a)))) |
(fma.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (fma.f64 (fma.f64 1/18 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand)) (*.f64 (/.f64 rand (sqrt.f64 -3)) -3/2)) (*.f64 a a) (+.f64 -1/3 (*.f64 (*.f64 rand (sqrt.f64 -3)) -1/9)))) |
(fma.f64 a (*.f64 a (fma.f64 1/18 (*.f64 (/.f64 rand (sqrt.f64 -3)) (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))) (*.f64 (/.f64 rand (sqrt.f64 -3)) -3/2))) (fma.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (fma.f64 (*.f64 -1/9 rand) (sqrt.f64 -3) -1/3))) |
(fma.f64 (*.f64 rand (+.f64 (/.f64 -3/2 (sqrt.f64 -3)) (/.f64 9/8 (sqrt.f64 -3)))) (*.f64 a a) (+.f64 (*.f64 1/2 (*.f64 a (/.f64 rand (sqrt.f64 -3)))) (*.f64 (fma.f64 (sqrt.f64 -3) (*.f64 1/3 rand) 1) (-.f64 a 1/3)))) |
(+.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/18 (/.f64 (*.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) rand) (sqrt.f64 -3))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3))))) (+.f64 (*.f64 a (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (+.f64 (*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)) (*.f64 (+.f64 (*.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (*.f64 1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3)))) (pow.f64 a 2))))) |
(fma.f64 (pow.f64 a 3) (fma.f64 1/18 (/.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (/.f64 (sqrt.f64 -3) rand)) (*.f64 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand)) -1/6)) (fma.f64 a (+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1) (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))) (fma.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1) (*.f64 (fma.f64 -3/2 (/.f64 rand (sqrt.f64 -3)) (*.f64 1/18 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand)))) (*.f64 a a))))) |
(fma.f64 (pow.f64 a 3) (fma.f64 1/18 (/.f64 (fma.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) -3) 81) (/.f64 (sqrt.f64 -3) rand)) (*.f64 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand)) -1/6)) (fma.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (fma.f64 (fma.f64 1/18 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand)) (*.f64 (/.f64 rand (sqrt.f64 -3)) -3/2)) (*.f64 a a) (+.f64 -1/3 (*.f64 (*.f64 rand (sqrt.f64 -3)) -1/9))))) |
(fma.f64 (pow.f64 a 3) (fma.f64 1/18 (*.f64 rand (/.f64 (+.f64 81 (*.f64 -3/2 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)))) (sqrt.f64 -3))) (*.f64 (*.f64 (/.f64 rand (sqrt.f64 -3)) (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))) -1/6)) (fma.f64 a (*.f64 a (fma.f64 1/18 (*.f64 (/.f64 rand (sqrt.f64 -3)) (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))) (*.f64 (/.f64 rand (sqrt.f64 -3)) -3/2))) (fma.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (fma.f64 (*.f64 -1/9 rand) (sqrt.f64 -3) -1/3)))) |
(fma.f64 (pow.f64 a 3) (*.f64 rand (+.f64 (/.f64 45/16 (sqrt.f64 -3)) (/.f64 -27/8 (sqrt.f64 -3)))) (fma.f64 (*.f64 rand (+.f64 (/.f64 -3/2 (sqrt.f64 -3)) (/.f64 9/8 (sqrt.f64 -3)))) (*.f64 a a) (+.f64 (*.f64 1/2 (*.f64 a (/.f64 rand (sqrt.f64 -3)))) (*.f64 (fma.f64 (sqrt.f64 -3) (*.f64 1/3 rand) 1) (-.f64 a 1/3))))) |
(+.f64 (+.f64 (*.f64 1/2 (*.f64 a (/.f64 rand (sqrt.f64 -3)))) (*.f64 (fma.f64 (sqrt.f64 -3) (*.f64 1/3 rand) 1) (-.f64 a 1/3))) (fma.f64 (*.f64 rand (+.f64 (/.f64 -3/2 (sqrt.f64 -3)) (/.f64 9/8 (sqrt.f64 -3)))) (*.f64 a a) (*.f64 (/.f64 (pow.f64 a 3) (sqrt.f64 -3)) (+.f64 (*.f64 rand 45/16) (*.f64 rand -27/8))))) |
a |
a |
(-.f64 a 1/3) |
(+.f64 a -1/3) |
(+.f64 -1/3 a) |
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3) |
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3) |
(fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand (+.f64 -1/3 a)) |
(+.f64 -1/3 (fma.f64 (sqrt.f64 (-.f64 a 1/3)) (*.f64 1/3 rand) a)) |
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3) |
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3) |
(fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand (+.f64 -1/3 a)) |
(+.f64 -1/3 (fma.f64 (sqrt.f64 (-.f64 a 1/3)) (*.f64 1/3 rand) a)) |
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3) |
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3) |
(fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand (+.f64 -1/3 a)) |
(+.f64 -1/3 (fma.f64 (sqrt.f64 (-.f64 a 1/3)) (*.f64 1/3 rand) a)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) |
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand)) |
(*.f64 (sqrt.f64 (-.f64 a 1/3)) (*.f64 1/3 rand)) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3) |
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3) |
(fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand (+.f64 -1/3 a)) |
(+.f64 -1/3 (fma.f64 (sqrt.f64 (-.f64 a 1/3)) (*.f64 1/3 rand) a)) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3) |
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3) |
(fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand (+.f64 -1/3 a)) |
(+.f64 -1/3 (fma.f64 (sqrt.f64 (-.f64 a 1/3)) (*.f64 1/3 rand) a)) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3) |
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3) |
(fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand (+.f64 -1/3 a)) |
(+.f64 -1/3 (fma.f64 (sqrt.f64 (-.f64 a 1/3)) (*.f64 1/3 rand) a)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) |
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand)) |
(*.f64 (sqrt.f64 (-.f64 a 1/3)) (*.f64 1/3 rand)) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3) |
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3) |
(fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand (+.f64 -1/3 a)) |
(+.f64 -1/3 (fma.f64 (sqrt.f64 (-.f64 a 1/3)) (*.f64 1/3 rand) a)) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3) |
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3) |
(fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand (+.f64 -1/3 a)) |
(+.f64 -1/3 (fma.f64 (sqrt.f64 (-.f64 a 1/3)) (*.f64 1/3 rand) a)) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3) |
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3) |
(fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand (+.f64 -1/3 a)) |
(+.f64 -1/3 (fma.f64 (sqrt.f64 (-.f64 a 1/3)) (*.f64 1/3 rand) a)) |
-1/3 |
(-.f64 a 1/3) |
(+.f64 a -1/3) |
(+.f64 -1/3 a) |
(-.f64 a 1/3) |
(+.f64 a -1/3) |
(+.f64 -1/3 a) |
(-.f64 a 1/3) |
(+.f64 a -1/3) |
(+.f64 -1/3 a) |
a |
(-.f64 a 1/3) |
(+.f64 a -1/3) |
(+.f64 -1/3 a) |
(-.f64 a 1/3) |
(+.f64 a -1/3) |
(+.f64 -1/3 a) |
(-.f64 a 1/3) |
(+.f64 a -1/3) |
(+.f64 -1/3 a) |
a |
(-.f64 a 1/3) |
(+.f64 a -1/3) |
(+.f64 -1/3 a) |
(-.f64 a 1/3) |
(+.f64 a -1/3) |
(+.f64 -1/3 a) |
(-.f64 a 1/3) |
(+.f64 a -1/3) |
(+.f64 -1/3 a) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.4b | (*.f64 (sqrt.f64 a) (*.f64 1/3 rand)) |
| 0.4b | (*.f64 1/3 rand) |
Compiled 16 to 9 computations (43.8% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | rand | @ | 0 | (*.f64 (sqrt.f64 a) (*.f64 1/3 rand)) |
| 1.0ms | a | @ | 0 | (*.f64 (sqrt.f64 a) (*.f64 1/3 rand)) |
| 1.0ms | a | @ | -inf | (*.f64 (sqrt.f64 a) (*.f64 1/3 rand)) |
| 1.0ms | rand | @ | inf | (*.f64 (sqrt.f64 a) (*.f64 1/3 rand)) |
| 1.0ms | a | @ | inf | (*.f64 (sqrt.f64 a) (*.f64 1/3 rand)) |
| 1× | batch-egg-rewrite |
| 628× | pow1_binary64 |
| 580× | add-log-exp_binary64 |
| 580× | log1p-expm1-u_binary64 |
| 580× | expm1-log1p-u_binary64 |
| 567× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 9 |
| 1 | 141 | 9 |
| 2 | 1610 | 9 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 a) (*.f64 1/3 rand)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sqrt.f64 a) (*.f64 1/3 rand))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 a) (*.f64 1/3 rand)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 a) (*.f64 1/3 rand)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 a) (*.f64 1/3 rand))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 a) (*.f64 1/3 rand))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 a (*.f64 (*.f64 rand rand) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 1/3) rand) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 a) (*.f64 1/3 rand)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 a) (*.f64 1/3 rand))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 a) (*.f64 1/3 rand))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 a) (*.f64 1/3 rand)))))))) |
| 1× | egg-herbie |
| 5× | *-commutative_binary64 |
| 3× | associate-*r*_binary64 |
| 3× | associate-*l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 108 |
| 1 | 11 | 108 |
| 2 | 18 | 108 |
| 3 | 20 | 108 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
| Outputs |
|---|
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (+.f64 a -1/3) | |
| 0.0b | (sqrt.f64 (+.f64 a -1/3)) | |
| ✓ | 0.2b | (*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) |
| ✓ | 0.4b | (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) |
Compiled 27 to 20 computations (25.9% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | a | @ | 0 | (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) |
| 1.0ms | a | @ | -inf | (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) |
| 1.0ms | a | @ | inf | (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) |
| 0.0ms | a | @ | -inf | (*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) |
| 0.0ms | a | @ | inf | (*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) |
| 1× | batch-egg-rewrite |
| 914× | pow1_binary64 |
| 850× | add-log-exp_binary64 |
| 850× | log1p-expm1-u_binary64 |
| 850× | expm1-log1p-u_binary64 |
| 834× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 21 |
| 1 | 192 | 21 |
| 2 | 2296 | 21 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) |
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (+.f64 a -1/3) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 rand rand) (*.f64 (+.f64 a -1/3) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 1/3) (sqrt.f64 (+.f64 a -1/3))) rand))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 3) (pow.f64 rand 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 rand 3) (pow.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))))) |
| 1× | egg-herbie |
| 896× | associate-/l*_binary64 |
| 668× | fma-def_binary64 |
| 443× | associate-/r*_binary64 |
| 414× | associate-*l/_binary64 |
| 402× | associate-*l*_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 366 |
| 1 | 138 | 358 |
| 2 | 398 | 354 |
| 3 | 1328 | 320 |
| 4 | 6439 | 312 |
| 5 | 7372 | 312 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/3 (sqrt.f64 -1/3)) |
(+.f64 (*.f64 1/6 (/.f64 a (sqrt.f64 -1/3))) (*.f64 1/3 (sqrt.f64 -1/3))) |
(+.f64 (*.f64 -1/24 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 1/6 (/.f64 a (sqrt.f64 -1/3))) (*.f64 1/3 (sqrt.f64 -1/3)))) |
(+.f64 (*.f64 -1/24 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 1/6 (/.f64 a (sqrt.f64 -1/3))) (+.f64 (*.f64 1/48 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (*.f64 1/3 (sqrt.f64 -1/3))))) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) |
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3)))) |
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))))) |
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (*.f64 1/48 (/.f64 (*.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5)))))) |
| Outputs |
|---|
(*.f64 1/3 (sqrt.f64 -1/3)) |
(+.f64 (*.f64 1/6 (/.f64 a (sqrt.f64 -1/3))) (*.f64 1/3 (sqrt.f64 -1/3))) |
(fma.f64 1/6 (/.f64 a (sqrt.f64 -1/3)) (*.f64 1/3 (sqrt.f64 -1/3))) |
(fma.f64 1/3 (sqrt.f64 -1/3) (*.f64 1/6 (/.f64 a (sqrt.f64 -1/3)))) |
(fma.f64 1/3 (sqrt.f64 -1/3) (/.f64 a (/.f64 (sqrt.f64 -1/3) 1/6))) |
(+.f64 (*.f64 -1/24 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 1/6 (/.f64 a (sqrt.f64 -1/3))) (*.f64 1/3 (sqrt.f64 -1/3)))) |
(fma.f64 -1/24 (/.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -1/3) 3)) (fma.f64 1/6 (/.f64 a (sqrt.f64 -1/3)) (*.f64 1/3 (sqrt.f64 -1/3)))) |
(+.f64 (fma.f64 1/3 (sqrt.f64 -1/3) (*.f64 1/6 (/.f64 a (sqrt.f64 -1/3)))) (*.f64 1/8 (/.f64 (*.f64 a a) (sqrt.f64 -1/3)))) |
(fma.f64 1/3 (sqrt.f64 -1/3) (fma.f64 1/8 (/.f64 a (/.f64 (sqrt.f64 -1/3) a)) (*.f64 1/6 (/.f64 a (sqrt.f64 -1/3))))) |
(fma.f64 1/3 (sqrt.f64 -1/3) (*.f64 (/.f64 a (sqrt.f64 -1/3)) (+.f64 1/6 (/.f64 a 8)))) |
(+.f64 (*.f64 -1/24 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 1/6 (/.f64 a (sqrt.f64 -1/3))) (+.f64 (*.f64 1/48 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (*.f64 1/3 (sqrt.f64 -1/3))))) |
(fma.f64 -1/24 (/.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -1/3) 3)) (fma.f64 1/6 (/.f64 a (sqrt.f64 -1/3)) (fma.f64 1/48 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) (*.f64 1/3 (sqrt.f64 -1/3))))) |
(+.f64 (*.f64 1/8 (/.f64 (*.f64 a a) (sqrt.f64 -1/3))) (fma.f64 1/6 (/.f64 a (sqrt.f64 -1/3)) (fma.f64 1/3 (sqrt.f64 -1/3) (/.f64 1/48 (/.f64 (pow.f64 (sqrt.f64 -1/3) 5) (pow.f64 a 3)))))) |
(fma.f64 1/6 (/.f64 a (sqrt.f64 -1/3)) (fma.f64 1/8 (/.f64 a (/.f64 (sqrt.f64 -1/3) a)) (fma.f64 1/3 (sqrt.f64 -1/3) (*.f64 (/.f64 1/48 (pow.f64 (sqrt.f64 -1/3) 5)) (pow.f64 a 3))))) |
(fma.f64 1/3 (sqrt.f64 -1/3) (fma.f64 1/48 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) (*.f64 (/.f64 a (sqrt.f64 -1/3)) (+.f64 1/6 (/.f64 a 8))))) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) |
(*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) |
(*.f64 1/3 (*.f64 (sqrt.f64 -1/3) rand)) |
(*.f64 (sqrt.f64 -1/3) (*.f64 1/3 rand)) |
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3)))) |
(fma.f64 1/3 (*.f64 (sqrt.f64 -1/3) rand) (*.f64 1/6 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)))) |
(fma.f64 1/6 (*.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (*.f64 (sqrt.f64 -1/3) (*.f64 1/3 rand))) |
(fma.f64 1/3 (*.f64 (sqrt.f64 -1/3) rand) (*.f64 1/6 (*.f64 (/.f64 a (sqrt.f64 -1/3)) rand))) |
(*.f64 rand (fma.f64 1/3 (sqrt.f64 -1/3) (/.f64 a (/.f64 (sqrt.f64 -1/3) 1/6)))) |
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))))) |
(fma.f64 1/3 (*.f64 (sqrt.f64 -1/3) rand) (fma.f64 1/6 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (*.f64 -1/24 (/.f64 (*.f64 a a) (/.f64 (pow.f64 (sqrt.f64 -1/3) 3) rand))))) |
(fma.f64 1/3 (*.f64 (sqrt.f64 -1/3) rand) (fma.f64 1/6 (*.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (*.f64 1/8 (/.f64 (*.f64 (*.f64 a a) rand) (sqrt.f64 -1/3))))) |
(fma.f64 1/3 (*.f64 (sqrt.f64 -1/3) rand) (fma.f64 1/6 (*.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (*.f64 1/8 (/.f64 (*.f64 a rand) (/.f64 (sqrt.f64 -1/3) a))))) |
(fma.f64 1/3 (*.f64 (sqrt.f64 -1/3) rand) (*.f64 rand (*.f64 (/.f64 a (sqrt.f64 -1/3)) (+.f64 1/6 (/.f64 a 8))))) |
(*.f64 rand (fma.f64 1/3 (sqrt.f64 -1/3) (*.f64 (/.f64 a (sqrt.f64 -1/3)) (+.f64 1/6 (/.f64 a 8))))) |
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (*.f64 1/48 (/.f64 (*.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5)))))) |
(fma.f64 1/3 (*.f64 (sqrt.f64 -1/3) rand) (fma.f64 1/6 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (fma.f64 -1/24 (/.f64 (*.f64 a a) (/.f64 (pow.f64 (sqrt.f64 -1/3) 3) rand)) (*.f64 1/48 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 (sqrt.f64 -1/3) 5) rand)))))) |
(fma.f64 1/3 (*.f64 (sqrt.f64 -1/3) rand) (fma.f64 1/6 (*.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (fma.f64 1/48 (/.f64 rand (/.f64 (pow.f64 (sqrt.f64 -1/3) 5) (pow.f64 a 3))) (*.f64 1/8 (/.f64 (*.f64 (*.f64 a a) rand) (sqrt.f64 -1/3)))))) |
(fma.f64 1/3 (*.f64 (sqrt.f64 -1/3) rand) (fma.f64 1/6 (*.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (fma.f64 1/48 (*.f64 (/.f64 rand (pow.f64 (sqrt.f64 -1/3) 5)) (pow.f64 a 3)) (*.f64 1/8 (/.f64 (*.f64 a rand) (/.f64 (sqrt.f64 -1/3) a)))))) |
(+.f64 (*.f64 rand (*.f64 (/.f64 a (sqrt.f64 -1/3)) (+.f64 1/6 (/.f64 a 8)))) (*.f64 rand (fma.f64 1/3 (sqrt.f64 -1/3) (/.f64 (*.f64 1/48 (pow.f64 a 3)) (pow.f64 (sqrt.f64 -1/3) 5))))) |
(*.f64 rand (fma.f64 1/3 (sqrt.f64 -1/3) (fma.f64 1/48 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) (*.f64 (/.f64 a (sqrt.f64 -1/3)) (+.f64 1/6 (/.f64 a 8)))))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (+.f64 a -1/3) | |
| ✓ | 0.2b | (*.f64 1/9 (*.f64 rand rand)) |
| ✓ | 8.6b | (*.f64 (+.f64 a -1/3) (*.f64 1/9 (*.f64 rand rand))) |
| ✓ | 27.6b | (sqrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/9 (*.f64 rand rand)))) |
Compiled 36 to 20 computations (44.4% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | a | @ | -inf | (sqrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/9 (*.f64 rand rand)))) |
| 1.0ms | rand | @ | 0 | (*.f64 (+.f64 a -1/3) (*.f64 1/9 (*.f64 rand rand))) |
| 1.0ms | a | @ | 0 | (*.f64 (+.f64 a -1/3) (*.f64 1/9 (*.f64 rand rand))) |
| 1.0ms | rand | @ | inf | (*.f64 (+.f64 a -1/3) (*.f64 1/9 (*.f64 rand rand))) |
| 1.0ms | a | @ | -inf | (*.f64 (+.f64 a -1/3) (*.f64 1/9 (*.f64 rand rand))) |
| 1× | batch-egg-rewrite |
| 483× | log-prod_binary64 |
| 422× | prod-exp_binary64 |
| 361× | exp-prod_binary64 |
| 333× | pow-prod-down_binary64 |
| 257× | pow2_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 35 |
| 1 | 216 | 32 |
| 2 | 2613 | 32 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/9 (*.f64 rand rand)))) |
(*.f64 (+.f64 a -1/3) (*.f64 1/9 (*.f64 rand rand))) |
(*.f64 1/9 (*.f64 rand rand)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 rand)) (sqrt.f64 (+.f64 a -1/3)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 rand)) (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 rand)) (sqrt.f64 (+.f64 a -1/3))))) (log.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 rand)) (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)) 1/9)) (cbrt.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/9 (*.f64 rand rand)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/9) (*.f64 rand rand))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/9) (*.f64 rand rand)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/9) (*.f64 rand rand)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/9) (*.f64 rand rand)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/9 (*.f64 rand rand)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/9 (*.f64 rand rand)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/81 (pow.f64 rand 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 rand 1/3) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 rand 1/3)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 rand 1/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 1/9 (*.f64 rand rand))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 1/9 (*.f64 rand rand)))) 2)) (cbrt.f64 (log.f64 (*.f64 1/9 (*.f64 rand rand)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 1/9 (*.f64 rand rand))))) (sqrt.f64 (log.f64 (*.f64 1/9 (*.f64 rand rand)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/81 (pow.f64 rand 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/9) (*.f64 rand rand)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/9 (*.f64 rand rand)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 rand 1/3) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/9 (*.f64 rand rand))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/9 (*.f64 rand rand))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/9 (*.f64 rand rand))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/9 (*.f64 rand rand))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 rand 1/3) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 rand 1/3)) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 rand 1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 1/9 (*.f64 rand rand))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 rand) 1) (log.f64 (*.f64 1/9 rand))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (*.f64 1/9 rand)) (*.f64 (log.f64 rand) 1))))))) |
| 1× | egg-herbie |
| 704× | associate-*l*_binary64 |
| 676× | unswap-sqr_binary64 |
| 656× | associate-*r*_binary64 |
| 584× | distribute-rgt-out_binary64 |
| 571× | fma-def_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 738 |
| 1 | 131 | 648 |
| 2 | 370 | 606 |
| 3 | 1325 | 603 |
| 4 | 6356 | 593 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) |
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3)))) |
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))))) |
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (*.f64 1/48 (/.f64 (*.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5)))))) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 -1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 -1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 -1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 -1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 -1/27 (pow.f64 rand 2)) |
(+.f64 (*.f64 1/9 (*.f64 a (pow.f64 rand 2))) (*.f64 -1/27 (pow.f64 rand 2))) |
(+.f64 (*.f64 1/9 (*.f64 a (pow.f64 rand 2))) (*.f64 -1/27 (pow.f64 rand 2))) |
(+.f64 (*.f64 1/9 (*.f64 a (pow.f64 rand 2))) (*.f64 -1/27 (pow.f64 rand 2))) |
(*.f64 1/9 (*.f64 a (pow.f64 rand 2))) |
(+.f64 (*.f64 -1/27 (pow.f64 rand 2)) (*.f64 1/9 (*.f64 a (pow.f64 rand 2)))) |
(+.f64 (*.f64 -1/27 (pow.f64 rand 2)) (*.f64 1/9 (*.f64 a (pow.f64 rand 2)))) |
(+.f64 (*.f64 -1/27 (pow.f64 rand 2)) (*.f64 1/9 (*.f64 a (pow.f64 rand 2)))) |
(*.f64 1/9 (*.f64 a (pow.f64 rand 2))) |
(+.f64 (*.f64 -1/27 (pow.f64 rand 2)) (*.f64 1/9 (*.f64 a (pow.f64 rand 2)))) |
(+.f64 (*.f64 -1/27 (pow.f64 rand 2)) (*.f64 1/9 (*.f64 a (pow.f64 rand 2)))) |
(+.f64 (*.f64 -1/27 (pow.f64 rand 2)) (*.f64 1/9 (*.f64 a (pow.f64 rand 2)))) |
(*.f64 1/9 (*.f64 (-.f64 a 1/3) (pow.f64 rand 2))) |
(*.f64 1/9 (*.f64 (-.f64 a 1/3) (pow.f64 rand 2))) |
(*.f64 1/9 (*.f64 (-.f64 a 1/3) (pow.f64 rand 2))) |
(*.f64 1/9 (*.f64 (-.f64 a 1/3) (pow.f64 rand 2))) |
(*.f64 1/9 (*.f64 (-.f64 a 1/3) (pow.f64 rand 2))) |
(*.f64 1/9 (*.f64 (-.f64 a 1/3) (pow.f64 rand 2))) |
(*.f64 1/9 (*.f64 (-.f64 a 1/3) (pow.f64 rand 2))) |
(*.f64 1/9 (*.f64 (-.f64 a 1/3) (pow.f64 rand 2))) |
(*.f64 1/9 (*.f64 (-.f64 a 1/3) (pow.f64 rand 2))) |
(*.f64 1/9 (*.f64 (-.f64 a 1/3) (pow.f64 rand 2))) |
(*.f64 1/9 (*.f64 (-.f64 a 1/3) (pow.f64 rand 2))) |
(*.f64 1/9 (*.f64 (-.f64 a 1/3) (pow.f64 rand 2))) |
(*.f64 1/9 (pow.f64 rand 2)) |
(*.f64 1/9 (pow.f64 rand 2)) |
(*.f64 1/9 (pow.f64 rand 2)) |
(*.f64 1/9 (pow.f64 rand 2)) |
(*.f64 1/9 (pow.f64 rand 2)) |
(*.f64 1/9 (pow.f64 rand 2)) |
(*.f64 1/9 (pow.f64 rand 2)) |
(*.f64 1/9 (pow.f64 rand 2)) |
(*.f64 1/9 (pow.f64 rand 2)) |
(*.f64 1/9 (pow.f64 rand 2)) |
(*.f64 1/9 (pow.f64 rand 2)) |
(*.f64 1/9 (pow.f64 rand 2)) |
| Outputs |
|---|
(*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) |
(*.f64 (sqrt.f64 -1/3) (*.f64 1/3 rand)) |
(*.f64 rand (*.f64 1/3 (sqrt.f64 -1/3))) |
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3)))) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 1/6 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)))) |
(fma.f64 1/6 (*.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (*.f64 (sqrt.f64 -1/3) (*.f64 1/3 rand))) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 (/.f64 a (sqrt.f64 -1/3)) (*.f64 rand 1/6))) |
(*.f64 rand (+.f64 (*.f64 1/3 (sqrt.f64 -1/3)) (/.f64 (*.f64 1/6 a) (sqrt.f64 -1/3)))) |
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))))) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (*.f64 -1/24 (/.f64 (*.f64 a a) (/.f64 (pow.f64 (sqrt.f64 -1/3) 3) rand))))) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (*.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (*.f64 1/8 (/.f64 (*.f64 rand (*.f64 a a)) (sqrt.f64 -1/3))))) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (*.f64 rand (/.f64 a (sqrt.f64 -1/3))) (/.f64 (/.f64 (*.f64 rand (*.f64 a a)) 8) (sqrt.f64 -1/3)))) |
(fma.f64 1/8 (*.f64 (/.f64 a (sqrt.f64 -1/3)) (*.f64 rand a)) (*.f64 rand (+.f64 (*.f64 1/3 (sqrt.f64 -1/3)) (/.f64 (*.f64 1/6 a) (sqrt.f64 -1/3))))) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 (*.f64 rand (/.f64 a (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/24 (/.f64 a -1/3)) 1/6))) |
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (*.f64 1/48 (/.f64 (*.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5)))))) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (fma.f64 -1/24 (/.f64 (*.f64 a a) (/.f64 (pow.f64 (sqrt.f64 -1/3) 3) rand)) (*.f64 1/48 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 (sqrt.f64 -1/3) 5) rand)))))) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (*.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (fma.f64 1/48 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 (sqrt.f64 -1/3) 5) rand)) (*.f64 1/8 (/.f64 (*.f64 rand (*.f64 a a)) (sqrt.f64 -1/3)))))) |
(fma.f64 1/6 (*.f64 rand (/.f64 a (sqrt.f64 -1/3))) (fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/48 (/.f64 rand (/.f64 (pow.f64 (sqrt.f64 -1/3) 5) (pow.f64 a 3))) (/.f64 (/.f64 (*.f64 rand (*.f64 a a)) 8) (sqrt.f64 -1/3))))) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/8 (*.f64 (/.f64 a (sqrt.f64 -1/3)) (*.f64 rand a)) (*.f64 rand (+.f64 (/.f64 (*.f64 1/6 a) (sqrt.f64 -1/3)) (/.f64 (*.f64 1/48 (pow.f64 a 3)) (pow.f64 (sqrt.f64 -1/3) 5)))))) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/48 (*.f64 rand (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (*.f64 (*.f64 rand (/.f64 a (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/24 (/.f64 a -1/3)) 1/6)))) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 1/3 (*.f64 rand (sqrt.f64 (-.f64 a 1/3)))) |
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand)) |
(*.f64 (sqrt.f64 (-.f64 a 1/3)) (*.f64 1/3 rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 1/3 (*.f64 rand (sqrt.f64 (-.f64 a 1/3)))) |
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand)) |
(*.f64 (sqrt.f64 (-.f64 a 1/3)) (*.f64 1/3 rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 1/3 (*.f64 rand (sqrt.f64 (-.f64 a 1/3)))) |
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand)) |
(*.f64 (sqrt.f64 (-.f64 a 1/3)) (*.f64 1/3 rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 1/3 (*.f64 rand (sqrt.f64 (-.f64 a 1/3)))) |
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand)) |
(*.f64 (sqrt.f64 (-.f64 a 1/3)) (*.f64 1/3 rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 1/3 (*.f64 rand (sqrt.f64 (-.f64 a 1/3)))) |
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand)) |
(*.f64 (sqrt.f64 (-.f64 a 1/3)) (*.f64 1/3 rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 1/3 (*.f64 rand (sqrt.f64 (-.f64 a 1/3)))) |
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand)) |
(*.f64 (sqrt.f64 (-.f64 a 1/3)) (*.f64 1/3 rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 1/3 (*.f64 rand (sqrt.f64 (-.f64 a 1/3)))) |
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand)) |
(*.f64 (sqrt.f64 (-.f64 a 1/3)) (*.f64 1/3 rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 1/3 (*.f64 rand (sqrt.f64 (-.f64 a 1/3)))) |
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand)) |
(*.f64 (sqrt.f64 (-.f64 a 1/3)) (*.f64 1/3 rand)) |
(*.f64 -1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 -1/3 (*.f64 rand (sqrt.f64 (-.f64 a 1/3)))) |
(*.f64 rand (*.f64 -1/3 (sqrt.f64 (+.f64 -1/3 a)))) |
(*.f64 rand (*.f64 -1/3 (sqrt.f64 (-.f64 a 1/3)))) |
(*.f64 -1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 -1/3 (*.f64 rand (sqrt.f64 (-.f64 a 1/3)))) |
(*.f64 rand (*.f64 -1/3 (sqrt.f64 (+.f64 -1/3 a)))) |
(*.f64 rand (*.f64 -1/3 (sqrt.f64 (-.f64 a 1/3)))) |
(*.f64 -1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 -1/3 (*.f64 rand (sqrt.f64 (-.f64 a 1/3)))) |
(*.f64 rand (*.f64 -1/3 (sqrt.f64 (+.f64 -1/3 a)))) |
(*.f64 rand (*.f64 -1/3 (sqrt.f64 (-.f64 a 1/3)))) |
(*.f64 -1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 -1/3 (*.f64 rand (sqrt.f64 (-.f64 a 1/3)))) |
(*.f64 rand (*.f64 -1/3 (sqrt.f64 (+.f64 -1/3 a)))) |
(*.f64 rand (*.f64 -1/3 (sqrt.f64 (-.f64 a 1/3)))) |
(*.f64 -1/27 (pow.f64 rand 2)) |
(*.f64 -1/27 (*.f64 rand rand)) |
(*.f64 rand (*.f64 rand -1/27)) |
(+.f64 (*.f64 1/9 (*.f64 a (pow.f64 rand 2))) (*.f64 -1/27 (pow.f64 rand 2))) |
(fma.f64 -1/27 (*.f64 rand rand) (*.f64 1/9 (*.f64 a (*.f64 rand rand)))) |
(*.f64 (+.f64 -1/3 a) (*.f64 (*.f64 rand rand) 1/9)) |
(*.f64 rand (*.f64 rand (fma.f64 a 1/9 -1/27))) |
(+.f64 (*.f64 1/9 (*.f64 a (pow.f64 rand 2))) (*.f64 -1/27 (pow.f64 rand 2))) |
(fma.f64 -1/27 (*.f64 rand rand) (*.f64 1/9 (*.f64 a (*.f64 rand rand)))) |
(*.f64 (+.f64 -1/3 a) (*.f64 (*.f64 rand rand) 1/9)) |
(*.f64 rand (*.f64 rand (fma.f64 a 1/9 -1/27))) |
(+.f64 (*.f64 1/9 (*.f64 a (pow.f64 rand 2))) (*.f64 -1/27 (pow.f64 rand 2))) |
(fma.f64 -1/27 (*.f64 rand rand) (*.f64 1/9 (*.f64 a (*.f64 rand rand)))) |
(*.f64 (+.f64 -1/3 a) (*.f64 (*.f64 rand rand) 1/9)) |
(*.f64 rand (*.f64 rand (fma.f64 a 1/9 -1/27))) |
(*.f64 1/9 (*.f64 a (pow.f64 rand 2))) |
(*.f64 1/9 (*.f64 a (*.f64 rand rand))) |
(*.f64 a (*.f64 (*.f64 rand rand) 1/9)) |
(*.f64 rand (*.f64 rand (*.f64 a 1/9))) |
(*.f64 (*.f64 rand a) (*.f64 rand 1/9)) |
(+.f64 (*.f64 -1/27 (pow.f64 rand 2)) (*.f64 1/9 (*.f64 a (pow.f64 rand 2)))) |
(fma.f64 -1/27 (*.f64 rand rand) (*.f64 1/9 (*.f64 a (*.f64 rand rand)))) |
(*.f64 (+.f64 -1/3 a) (*.f64 (*.f64 rand rand) 1/9)) |
(*.f64 rand (*.f64 rand (fma.f64 a 1/9 -1/27))) |
(+.f64 (*.f64 -1/27 (pow.f64 rand 2)) (*.f64 1/9 (*.f64 a (pow.f64 rand 2)))) |
(fma.f64 -1/27 (*.f64 rand rand) (*.f64 1/9 (*.f64 a (*.f64 rand rand)))) |
(*.f64 (+.f64 -1/3 a) (*.f64 (*.f64 rand rand) 1/9)) |
(*.f64 rand (*.f64 rand (fma.f64 a 1/9 -1/27))) |
(+.f64 (*.f64 -1/27 (pow.f64 rand 2)) (*.f64 1/9 (*.f64 a (pow.f64 rand 2)))) |
(fma.f64 -1/27 (*.f64 rand rand) (*.f64 1/9 (*.f64 a (*.f64 rand rand)))) |
(*.f64 (+.f64 -1/3 a) (*.f64 (*.f64 rand rand) 1/9)) |
(*.f64 rand (*.f64 rand (fma.f64 a 1/9 -1/27))) |
(*.f64 1/9 (*.f64 a (pow.f64 rand 2))) |
(*.f64 1/9 (*.f64 a (*.f64 rand rand))) |
(*.f64 a (*.f64 (*.f64 rand rand) 1/9)) |
(*.f64 rand (*.f64 rand (*.f64 a 1/9))) |
(*.f64 (*.f64 rand a) (*.f64 rand 1/9)) |
(+.f64 (*.f64 -1/27 (pow.f64 rand 2)) (*.f64 1/9 (*.f64 a (pow.f64 rand 2)))) |
(fma.f64 -1/27 (*.f64 rand rand) (*.f64 1/9 (*.f64 a (*.f64 rand rand)))) |
(*.f64 (+.f64 -1/3 a) (*.f64 (*.f64 rand rand) 1/9)) |
(*.f64 rand (*.f64 rand (fma.f64 a 1/9 -1/27))) |
(+.f64 (*.f64 -1/27 (pow.f64 rand 2)) (*.f64 1/9 (*.f64 a (pow.f64 rand 2)))) |
(fma.f64 -1/27 (*.f64 rand rand) (*.f64 1/9 (*.f64 a (*.f64 rand rand)))) |
(*.f64 (+.f64 -1/3 a) (*.f64 (*.f64 rand rand) 1/9)) |
(*.f64 rand (*.f64 rand (fma.f64 a 1/9 -1/27))) |
(+.f64 (*.f64 -1/27 (pow.f64 rand 2)) (*.f64 1/9 (*.f64 a (pow.f64 rand 2)))) |
(fma.f64 -1/27 (*.f64 rand rand) (*.f64 1/9 (*.f64 a (*.f64 rand rand)))) |
(*.f64 (+.f64 -1/3 a) (*.f64 (*.f64 rand rand) 1/9)) |
(*.f64 rand (*.f64 rand (fma.f64 a 1/9 -1/27))) |
(*.f64 1/9 (*.f64 (-.f64 a 1/3) (pow.f64 rand 2))) |
(fma.f64 -1/27 (*.f64 rand rand) (*.f64 1/9 (*.f64 a (*.f64 rand rand)))) |
(*.f64 (+.f64 -1/3 a) (*.f64 (*.f64 rand rand) 1/9)) |
(*.f64 rand (*.f64 rand (fma.f64 a 1/9 -1/27))) |
(*.f64 1/9 (*.f64 (-.f64 a 1/3) (pow.f64 rand 2))) |
(fma.f64 -1/27 (*.f64 rand rand) (*.f64 1/9 (*.f64 a (*.f64 rand rand)))) |
(*.f64 (+.f64 -1/3 a) (*.f64 (*.f64 rand rand) 1/9)) |
(*.f64 rand (*.f64 rand (fma.f64 a 1/9 -1/27))) |
(*.f64 1/9 (*.f64 (-.f64 a 1/3) (pow.f64 rand 2))) |
(fma.f64 -1/27 (*.f64 rand rand) (*.f64 1/9 (*.f64 a (*.f64 rand rand)))) |
(*.f64 (+.f64 -1/3 a) (*.f64 (*.f64 rand rand) 1/9)) |
(*.f64 rand (*.f64 rand (fma.f64 a 1/9 -1/27))) |
(*.f64 1/9 (*.f64 (-.f64 a 1/3) (pow.f64 rand 2))) |
(fma.f64 -1/27 (*.f64 rand rand) (*.f64 1/9 (*.f64 a (*.f64 rand rand)))) |
(*.f64 (+.f64 -1/3 a) (*.f64 (*.f64 rand rand) 1/9)) |
(*.f64 rand (*.f64 rand (fma.f64 a 1/9 -1/27))) |
(*.f64 1/9 (*.f64 (-.f64 a 1/3) (pow.f64 rand 2))) |
(fma.f64 -1/27 (*.f64 rand rand) (*.f64 1/9 (*.f64 a (*.f64 rand rand)))) |
(*.f64 (+.f64 -1/3 a) (*.f64 (*.f64 rand rand) 1/9)) |
(*.f64 rand (*.f64 rand (fma.f64 a 1/9 -1/27))) |
(*.f64 1/9 (*.f64 (-.f64 a 1/3) (pow.f64 rand 2))) |
(fma.f64 -1/27 (*.f64 rand rand) (*.f64 1/9 (*.f64 a (*.f64 rand rand)))) |
(*.f64 (+.f64 -1/3 a) (*.f64 (*.f64 rand rand) 1/9)) |
(*.f64 rand (*.f64 rand (fma.f64 a 1/9 -1/27))) |
(*.f64 1/9 (*.f64 (-.f64 a 1/3) (pow.f64 rand 2))) |
(fma.f64 -1/27 (*.f64 rand rand) (*.f64 1/9 (*.f64 a (*.f64 rand rand)))) |
(*.f64 (+.f64 -1/3 a) (*.f64 (*.f64 rand rand) 1/9)) |
(*.f64 rand (*.f64 rand (fma.f64 a 1/9 -1/27))) |
(*.f64 1/9 (*.f64 (-.f64 a 1/3) (pow.f64 rand 2))) |
(fma.f64 -1/27 (*.f64 rand rand) (*.f64 1/9 (*.f64 a (*.f64 rand rand)))) |
(*.f64 (+.f64 -1/3 a) (*.f64 (*.f64 rand rand) 1/9)) |
(*.f64 rand (*.f64 rand (fma.f64 a 1/9 -1/27))) |
(*.f64 1/9 (*.f64 (-.f64 a 1/3) (pow.f64 rand 2))) |
(fma.f64 -1/27 (*.f64 rand rand) (*.f64 1/9 (*.f64 a (*.f64 rand rand)))) |
(*.f64 (+.f64 -1/3 a) (*.f64 (*.f64 rand rand) 1/9)) |
(*.f64 rand (*.f64 rand (fma.f64 a 1/9 -1/27))) |
(*.f64 1/9 (*.f64 (-.f64 a 1/3) (pow.f64 rand 2))) |
(fma.f64 -1/27 (*.f64 rand rand) (*.f64 1/9 (*.f64 a (*.f64 rand rand)))) |
(*.f64 (+.f64 -1/3 a) (*.f64 (*.f64 rand rand) 1/9)) |
(*.f64 rand (*.f64 rand (fma.f64 a 1/9 -1/27))) |
(*.f64 1/9 (*.f64 (-.f64 a 1/3) (pow.f64 rand 2))) |
(fma.f64 -1/27 (*.f64 rand rand) (*.f64 1/9 (*.f64 a (*.f64 rand rand)))) |
(*.f64 (+.f64 -1/3 a) (*.f64 (*.f64 rand rand) 1/9)) |
(*.f64 rand (*.f64 rand (fma.f64 a 1/9 -1/27))) |
(*.f64 1/9 (*.f64 (-.f64 a 1/3) (pow.f64 rand 2))) |
(fma.f64 -1/27 (*.f64 rand rand) (*.f64 1/9 (*.f64 a (*.f64 rand rand)))) |
(*.f64 (+.f64 -1/3 a) (*.f64 (*.f64 rand rand) 1/9)) |
(*.f64 rand (*.f64 rand (fma.f64 a 1/9 -1/27))) |
(*.f64 1/9 (pow.f64 rand 2)) |
(*.f64 (*.f64 rand rand) 1/9) |
(*.f64 rand (*.f64 rand 1/9)) |
(*.f64 1/9 (pow.f64 rand 2)) |
(*.f64 (*.f64 rand rand) 1/9) |
(*.f64 rand (*.f64 rand 1/9)) |
(*.f64 1/9 (pow.f64 rand 2)) |
(*.f64 (*.f64 rand rand) 1/9) |
(*.f64 rand (*.f64 rand 1/9)) |
(*.f64 1/9 (pow.f64 rand 2)) |
(*.f64 (*.f64 rand rand) 1/9) |
(*.f64 rand (*.f64 rand 1/9)) |
(*.f64 1/9 (pow.f64 rand 2)) |
(*.f64 (*.f64 rand rand) 1/9) |
(*.f64 rand (*.f64 rand 1/9)) |
(*.f64 1/9 (pow.f64 rand 2)) |
(*.f64 (*.f64 rand rand) 1/9) |
(*.f64 rand (*.f64 rand 1/9)) |
(*.f64 1/9 (pow.f64 rand 2)) |
(*.f64 (*.f64 rand rand) 1/9) |
(*.f64 rand (*.f64 rand 1/9)) |
(*.f64 1/9 (pow.f64 rand 2)) |
(*.f64 (*.f64 rand rand) 1/9) |
(*.f64 rand (*.f64 rand 1/9)) |
(*.f64 1/9 (pow.f64 rand 2)) |
(*.f64 (*.f64 rand rand) 1/9) |
(*.f64 rand (*.f64 rand 1/9)) |
(*.f64 1/9 (pow.f64 rand 2)) |
(*.f64 (*.f64 rand rand) 1/9) |
(*.f64 rand (*.f64 rand 1/9)) |
(*.f64 1/9 (pow.f64 rand 2)) |
(*.f64 (*.f64 rand rand) 1/9) |
(*.f64 rand (*.f64 rand 1/9)) |
(*.f64 1/9 (pow.f64 rand 2)) |
(*.f64 (*.f64 rand rand) 1/9) |
(*.f64 rand (*.f64 rand 1/9)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (-.f64 a 1/3) | |
| ✓ | 0.1b | (*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a))))) |
| ✓ | 0.1b | (sqrt.f64 (*.f64 9 a)) |
| ✓ | 0.2b | (/.f64 rand (sqrt.f64 (*.f64 9 a))) |
Compiled 43 to 31 computations (27.9% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | rand | @ | 0 | (/.f64 rand (sqrt.f64 (*.f64 9 a))) |
| 1.0ms | a | @ | 0 | (*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a))))) |
| 1.0ms | rand | @ | inf | (/.f64 rand (sqrt.f64 (*.f64 9 a))) |
| 1.0ms | a | @ | -inf | (*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a))))) |
| 1.0ms | a | @ | -inf | (/.f64 rand (sqrt.f64 (*.f64 9 a))) |
| 1× | batch-egg-rewrite |
| 600× | log-prod_binary64 |
| 537× | prod-diff_binary64 |
| 350× | fma-def_binary64 |
| 226× | pow1/3_binary64 |
| 223× | expm1-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 33 |
| 1 | 267 | 31 |
| 2 | 3611 | 31 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 rand (sqrt.f64 (*.f64 9 a))) |
(sqrt.f64 (*.f64 9 a)) |
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a))))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 rand) (/.f64 1/3 (sqrt.f64 a)))) (cbrt.f64 (pow.f64 (exp.f64 rand) (/.f64 1/3 (sqrt.f64 a)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 rand) (/.f64 1/3 (sqrt.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 rand) (/.f64 1/3 (sqrt.f64 a))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 rand) (/.f64 1/3 (sqrt.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 rand (/.f64 1/3 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 rand (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 rand rand)) (*.f64 (cbrt.f64 rand) (/.f64 1/3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (cbrt.f64 (/.f64 (*.f64 rand rand) (*.f64 9 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 rand rand) (*.f64 9 a))) (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 rand) (*.f64 (sqrt.f64 rand) (/.f64 1/3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 rand) (/.f64 1 (*.f64 -3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (sqrt.f64 a)) rand)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 rand rand)) 1) (/.f64 (cbrt.f64 rand) (*.f64 3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 rand) 1) (/.f64 (sqrt.f64 rand) (*.f64 3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 9 a))) (/.f64 rand (cbrt.f64 (*.f64 3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 rand rand)) (cbrt.f64 (*.f64 9 a))) (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 rand) (cbrt.f64 (*.f64 9 a))) (/.f64 (sqrt.f64 rand) (cbrt.f64 (*.f64 3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (*.f64 9 a) 1/4)) (/.f64 rand (pow.f64 (*.f64 9 a) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 rand rand)) (pow.f64 (*.f64 9 a) 1/4)) (/.f64 (cbrt.f64 rand) (pow.f64 (*.f64 9 a) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 rand rand)) 3) (/.f64 (cbrt.f64 rand) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 rand) 3) (/.f64 (sqrt.f64 rand) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (/.f64 (sqrt.f64 a) rand)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 3 (/.f64 (sqrt.f64 a) rand)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 rand (*.f64 -3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 rand rand) (*.f64 9 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 rand) (/.f64 1/3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 rand (/.f64 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((x fma.f64 (cbrt.f64 a) (pow.f64 (cbrt.f64 a) 2) (neg.f64 (-.f64 1/3 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (+.f64 -1/3 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (neg.f64 (-.f64 1/3 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)) (*.f64 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) 1) (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) 1) (*.f64 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (*.f64 (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (+.f64 a -1/3)) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (sqrt.f64 a) (+.f64 -1/3 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (sqrt.f64 a) (neg.f64 (-.f64 1/3 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 1 (fma.f64 a a (fma.f64 a 1/3 1/9))) (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 1 (fma.f64 a a (fma.f64 a 1/3 1/9))) (*.f64 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 a a -1/9) (/.f64 1 (+.f64 a 1/3)) (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 a a -1/9) (/.f64 1 (+.f64 a 1/3)) (*.f64 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))) (cbrt.f64 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))) (cbrt.f64 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))) (sqrt.f64 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (sqrt.f64 (+.f64 a -1/3))) (*.f64 (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (sqrt.f64 (+.f64 a -1/3))) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 a -1/3) (cbrt.f64 (/.f64 (*.f64 rand rand) (*.f64 9 a)))) (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 a -1/3) (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (cbrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3)))))) |
| 1× | egg-herbie |
| 2343× | fma-neg_binary64 |
| 514× | fma-def_binary64 |
| 279× | distribute-rgt-in_binary64 |
| 263× | distribute-rgt-neg-in_binary64 |
| 230× | unsub-neg_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 402 |
| 1 | 35 | 384 |
| 2 | 76 | 384 |
| 3 | 211 | 362 |
| 4 | 559 | 353 |
| 5 | 866 | 353 |
| 6 | 1453 | 353 |
| 7 | 2785 | 353 |
| 8 | 4744 | 353 |
| 9 | 5181 | 353 |
| 10 | 5286 | 353 |
| 11 | 5298 | 353 |
| 12 | 5298 | 353 |
| 13 | 5302 | 353 |
| 14 | 6939 | 353 |
| 15 | 6939 | 353 |
| 16 | 6939 | 353 |
| 17 | 6939 | 353 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
a |
a |
(-.f64 a 1/3) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3) |
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a)))) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3) |
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a)))) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3) |
| Outputs |
|---|
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
a |
a |
(-.f64 a 1/3) |
(+.f64 a -1/3) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3) |
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3)) |
(+.f64 (fma.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 a)) a) -1/3) |
(+.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) a) -1/3) |
(fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (fma.f64 1/3 a -1/9)) (+.f64 a -1/3)) |
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1)) |
(*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 1/3 rand) 1)) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3) |
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3)) |
(+.f64 (fma.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 a)) a) -1/3) |
(+.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) a) -1/3) |
(fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (fma.f64 1/3 a -1/9)) (+.f64 a -1/3)) |
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1)) |
(*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 1/3 rand) 1)) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3) |
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3)) |
(+.f64 (fma.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 a)) a) -1/3) |
(+.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) a) -1/3) |
(fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (fma.f64 1/3 a -1/9)) (+.f64 a -1/3)) |
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1)) |
(*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 1/3 rand) 1)) |
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a)))) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) |
(*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (fma.f64 1/3 a -1/9))) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3) |
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3)) |
(+.f64 (fma.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 a)) a) -1/3) |
(+.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) a) -1/3) |
(fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (fma.f64 1/3 a -1/9)) (+.f64 a -1/3)) |
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1)) |
(*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 1/3 rand) 1)) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3) |
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3)) |
(+.f64 (fma.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 a)) a) -1/3) |
(+.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) a) -1/3) |
(fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (fma.f64 1/3 a -1/9)) (+.f64 a -1/3)) |
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1)) |
(*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 1/3 rand) 1)) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3) |
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3)) |
(+.f64 (fma.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 a)) a) -1/3) |
(+.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) a) -1/3) |
(fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (fma.f64 1/3 a -1/9)) (+.f64 a -1/3)) |
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1)) |
(*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 1/3 rand) 1)) |
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a)))) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) |
(*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (fma.f64 1/3 a -1/9))) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3) |
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3)) |
(+.f64 (fma.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 a)) a) -1/3) |
(+.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) a) -1/3) |
(fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (fma.f64 1/3 a -1/9)) (+.f64 a -1/3)) |
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1)) |
(*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 1/3 rand) 1)) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3) |
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3)) |
(+.f64 (fma.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 a)) a) -1/3) |
(+.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) a) -1/3) |
(fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (fma.f64 1/3 a -1/9)) (+.f64 a -1/3)) |
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1)) |
(*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 1/3 rand) 1)) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3) |
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3)) |
(+.f64 (fma.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 a)) a) -1/3) |
(+.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) a) -1/3) |
(fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (fma.f64 1/3 a -1/9)) (+.f64 a -1/3)) |
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1)) |
(*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 1/3 rand) 1)) |
Compiled 14643 to 11021 computations (24.7% saved)
16 alts after pruning (11 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 796 | 7 | 803 |
| Fresh | 2 | 4 | 6 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 5 | 7 |
| Total | 801 | 16 | 817 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 (+.f64 -1/3 a) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3))))) |
| ▶ | 1.1b | (-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) a) 1/3) |
| ✓ | 46.6b | (*.f64 (sqrt.f64 a) (*.f64 1/3 rand)) |
| 63.0b | -1/3 | |
| ▶ | 46.6b | (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
| ▶ | 45.8b | (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
| 1.1b | (*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand))) | |
| ▶ | 51.5b | (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a)))) |
| ▶ | 44.2b | (/.f64 (fma.f64 a a -1/9) (-.f64 a -1/3)) |
| ✓ | 45.8b | (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)) |
| 2.4b | (*.f64 a (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a))))) | |
| 46.6b | (*.f64 rand (*.f64 1/3 (sqrt.f64 a))) | |
| ✓ | 0.1b | (-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3) |
| 19.5b | a | |
| ✓ | 18.2b | (-.f64 a 1/3) |
| 45.7b | (*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 1/9)) rand) |
Compiled 255 to 197 computations (22.7% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) a) 1/3) |
| ✓ | 0.3b | (*.f64 (sqrt.f64 a) rand) |
| ✓ | 0.4b | (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
Compiled 35 to 15 computations (57.1% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 12.0ms | a | @ | 0 | (-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) a) 1/3) |
| 8.0ms | rand | @ | -inf | (*.f64 (sqrt.f64 a) rand) |
| 1.0ms | a | @ | -inf | (*.f64 (sqrt.f64 a) rand) |
| 0.0ms | a | @ | -inf | (-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) a) 1/3) |
| 0.0ms | a | @ | inf | (-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) a) 1/3) |
| 1× | batch-egg-rewrite |
| 496× | fma-def_binary64 |
| 494× | log-prod_binary64 |
| 367× | exp-prod_binary64 |
| 358× | pow-prod-down_binary64 |
| 270× | fma-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 28 |
| 1 | 207 | 28 |
| 2 | 2857 | 28 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
(*.f64 (sqrt.f64 a) rand) |
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) a) 1/3) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 a))) rand)) 2)) (log.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 a))) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 a))) rand))) (log.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 a))) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/9 (*.f64 a (*.f64 rand rand))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/27 (pow.f64 (*.f64 (sqrt.f64 a) rand) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))) 2)) (cbrt.f64 (log.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))))) (sqrt.f64 (log.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/9 (*.f64 a (*.f64 rand rand))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 a))) rand))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/27 (pow.f64 (*.f64 (sqrt.f64 a) rand) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) 3) 1/3)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 a) rand))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 a))) rand) 2)) (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 rand) (sqrt.f64 a)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 rand) (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 a) rand))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 a) rand) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (*.f64 rand rand)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 a) rand) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 a) rand)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 a) rand)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (sqrt.f64 a) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 a) rand))) 2)) (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 a) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 a) rand)))) (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 a) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 a (*.f64 rand rand)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 rand) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 a) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 a) rand) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 a) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 a) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 a) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 a) rand)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (sqrt.f64 a) rand))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 a) rand))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 a) rand))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 a) rand)) 1) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) (*.f64 (+.f64 a -1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 a -1/3) (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))) (pow.f64 (cbrt.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))) 2) (cbrt.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))) (sqrt.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 3) -1/27) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) (fma.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) -1/9) (/.f64 1 (+.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) (fma.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 1/9)) (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 3) -1/27)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)) (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 3) -1/27) (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) (fma.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 3) -1/27) (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) (-.f64 1/9 (*.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) -1/9) (+.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 3) -1/27)) (neg.f64 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) (fma.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) -1/9)) (neg.f64 (+.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/27 (pow.f64 (*.f64 (sqrt.f64 a) rand) 3) (pow.f64 (+.f64 a -1/3) 3)) (fma.f64 1/9 (*.f64 a (*.f64 rand rand)) (-.f64 (pow.f64 (+.f64 a -1/3) 2) (*.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/9 (*.f64 a (*.f64 rand rand)) (neg.f64 (pow.f64 (+.f64 a -1/3) 2))) (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) (fma.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 1/9)) (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 3) -1/27)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)) (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) -1/9)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))) 2)) (cbrt.f64 (log.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))) (sqrt.f64 (log.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))) (exp.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (+.f64 a -1/3)) (+.f64 1 (expm1.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) (*.f64 (+.f64 a -1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a 1 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (sqrt.f64 a) (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (*.f64 rand 1/3) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (*.f64 rand 1/3) (*.f64 (+.f64 a -1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (*.f64 (+.f64 a -1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 a) rand) 1/3 (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 a) rand) 1/3 (*.f64 (+.f64 a -1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) 1 (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) 1 (*.f64 (+.f64 a -1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 1 -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 a (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) (*.f64 (+.f64 a -1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 a -1/3) (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)) (pow.f64 (cbrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)) 2) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)) 2) (cbrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 a (*.f64 rand rand))) (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 a) rand)) 1/3) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 a (*.f64 rand rand))) (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 a) rand)) 1/3) (*.f64 (+.f64 a -1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 a) (pow.f64 (cbrt.f64 a) 2) (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) (cbrt.f64 (*.f64 1/9 (*.f64 a (*.f64 rand rand)))) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) (cbrt.f64 (*.f64 1/9 (*.f64 a (*.f64 rand rand)))) (*.f64 (+.f64 a -1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/9 (*.f64 a (*.f64 rand rand)))) (cbrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/9 (*.f64 a (*.f64 rand rand)))) (cbrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) (*.f64 (+.f64 a -1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)) (sqrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 a) rand)) (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 a) rand)) 1/3) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 a) rand)) (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 a) rand)) 1/3) (*.f64 (+.f64 a -1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) (sqrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) (sqrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) (*.f64 (+.f64 a -1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 a 1/4) (pow.f64 a 3/4) (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 1/27 (pow.f64 (*.f64 (sqrt.f64 a) rand) 3) (pow.f64 a 3)) (/.f64 1 (fma.f64 1/9 (*.f64 a (*.f64 rand rand)) (*.f64 a (-.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))))) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 1/9 (*.f64 a (*.f64 rand rand)) (neg.f64 (*.f64 a a))) (/.f64 1 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) (neg.f64 a))) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 (sqrt.f64 a)) rand (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 (sqrt.f64 a)) rand (*.f64 (+.f64 a -1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 a 3/4) (pow.f64 a 1/4) (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)) (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 rand) (sqrt.f64 a) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 rand) (sqrt.f64 a) (*.f64 (+.f64 a -1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 (cbrt.f64 (*.f64 a (*.f64 rand rand)))) (cbrt.f64 (*.f64 (sqrt.f64 a) rand)) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 (cbrt.f64 (*.f64 a (*.f64 rand rand)))) (cbrt.f64 (*.f64 (sqrt.f64 a) rand)) (*.f64 (+.f64 a -1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 (sqrt.f64 (*.f64 (sqrt.f64 a) rand))) (sqrt.f64 (*.f64 (sqrt.f64 a) rand)) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 (sqrt.f64 (*.f64 (sqrt.f64 a) rand))) (sqrt.f64 (*.f64 (sqrt.f64 a) rand)) (*.f64 (+.f64 a -1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/3 (sqrt.f64 a)) 1) rand (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/3 (sqrt.f64 a)) 1) rand (*.f64 (+.f64 a -1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/3 (sqrt.f64 a)) (pow.f64 (cbrt.f64 rand) 2)) (cbrt.f64 rand) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/3 (sqrt.f64 a)) (pow.f64 (cbrt.f64 rand) 2)) (cbrt.f64 rand) (*.f64 (+.f64 a -1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/3 (sqrt.f64 a)) (sqrt.f64 rand)) (sqrt.f64 rand) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/3 (sqrt.f64 a)) (sqrt.f64 rand)) (sqrt.f64 rand) (*.f64 (+.f64 a -1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 a 5/6) (pow.f64 a 1/6) (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3)))))) |
| 1× | egg-herbie |
| 306× | fma-neg_binary64 |
| 131× | fma-def_binary64 |
| 73× | cancel-sign-sub-inv_binary64 |
| 57× | distribute-rgt-neg-in_binary64 |
| 36× | associate--r+_binary64 |
Useful iterations: 7 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 160 |
| 1 | 21 | 142 |
| 2 | 39 | 142 |
| 3 | 61 | 142 |
| 4 | 73 | 142 |
| 5 | 105 | 142 |
| 6 | 187 | 142 |
| 7 | 375 | 124 |
| 8 | 713 | 124 |
| 9 | 998 | 124 |
| 10 | 1104 | 124 |
| 11 | 1113 | 124 |
| 1× | saturated |
| Inputs |
|---|
-1/3 |
a |
a |
(-.f64 a 1/3) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) 1/3) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) 1/3) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) 1/3) |
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) 1/3) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) 1/3) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) 1/3) |
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) 1/3) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) 1/3) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) 1/3) |
| Outputs |
|---|
-1/3 |
a |
a |
(-.f64 a 1/3) |
(+.f64 a -1/3) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) 1/3) |
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) 1/3)) |
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3)) |
(+.f64 a (fma.f64 (sqrt.f64 a) (*.f64 1/3 rand) -1/3)) |
(fma.f64 (fma.f64 (sqrt.f64 a) rand -1) 1/3 a) |
(fma.f64 1/3 (fma.f64 (sqrt.f64 a) rand -1) a) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) 1/3) |
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) 1/3)) |
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3)) |
(+.f64 a (fma.f64 (sqrt.f64 a) (*.f64 1/3 rand) -1/3)) |
(fma.f64 (fma.f64 (sqrt.f64 a) rand -1) 1/3 a) |
(fma.f64 1/3 (fma.f64 (sqrt.f64 a) rand -1) a) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) 1/3) |
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) 1/3)) |
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3)) |
(+.f64 a (fma.f64 (sqrt.f64 a) (*.f64 1/3 rand) -1/3)) |
(fma.f64 (fma.f64 (sqrt.f64 a) rand -1) 1/3 a) |
(fma.f64 1/3 (fma.f64 (sqrt.f64 a) rand -1) a) |
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) 1/3) |
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) 1/3)) |
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3)) |
(+.f64 a (fma.f64 (sqrt.f64 a) (*.f64 1/3 rand) -1/3)) |
(fma.f64 (fma.f64 (sqrt.f64 a) rand -1) 1/3 a) |
(fma.f64 1/3 (fma.f64 (sqrt.f64 a) rand -1) a) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) 1/3) |
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) 1/3)) |
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3)) |
(+.f64 a (fma.f64 (sqrt.f64 a) (*.f64 1/3 rand) -1/3)) |
(fma.f64 (fma.f64 (sqrt.f64 a) rand -1) 1/3 a) |
(fma.f64 1/3 (fma.f64 (sqrt.f64 a) rand -1) a) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) 1/3) |
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) 1/3)) |
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3)) |
(+.f64 a (fma.f64 (sqrt.f64 a) (*.f64 1/3 rand) -1/3)) |
(fma.f64 (fma.f64 (sqrt.f64 a) rand -1) 1/3 a) |
(fma.f64 1/3 (fma.f64 (sqrt.f64 a) rand -1) a) |
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) 1/3) |
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) 1/3)) |
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3)) |
(+.f64 a (fma.f64 (sqrt.f64 a) (*.f64 1/3 rand) -1/3)) |
(fma.f64 (fma.f64 (sqrt.f64 a) rand -1) 1/3 a) |
(fma.f64 1/3 (fma.f64 (sqrt.f64 a) rand -1) a) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) 1/3) |
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) 1/3)) |
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3)) |
(+.f64 a (fma.f64 (sqrt.f64 a) (*.f64 1/3 rand) -1/3)) |
(fma.f64 (fma.f64 (sqrt.f64 a) rand -1) 1/3 a) |
(fma.f64 1/3 (fma.f64 (sqrt.f64 a) rand -1) a) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) 1/3) |
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) 1/3)) |
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3)) |
(+.f64 a (fma.f64 (sqrt.f64 a) (*.f64 1/3 rand) -1/3)) |
(fma.f64 (fma.f64 (sqrt.f64 a) rand -1) 1/3 a) |
(fma.f64 1/3 (fma.f64 (sqrt.f64 a) rand -1) a) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.3b | (*.f64 (sqrt.f64 a) rand) | |
| 0.4b | (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
Compiled 17 to 7 computations (58.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (-.f64 a 1/3) | |
| 0.0b | (sqrt.f64 (-.f64 a 1/3)) | |
| 0.2b | (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand) | |
| 0.4b | (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
Compiled 26 to 18 computations (30.8% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 28.4b | (/.f64 (fma.f64 a a -1/9) (-.f64 a -1/3)) |
Compiled 20 to 13 computations (35% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | a | @ | 0 | (/.f64 (fma.f64 a a -1/9) (-.f64 a -1/3)) |
| 1.0ms | a | @ | -inf | (/.f64 (fma.f64 a a -1/9) (-.f64 a -1/3)) |
| 0.0ms | a | @ | inf | (/.f64 (fma.f64 a a -1/9) (-.f64 a -1/3)) |
| 1× | batch-egg-rewrite |
| 834× | pow1_binary64 |
| 784× | add-log-exp_binary64 |
| 784× | log1p-expm1-u_binary64 |
| 784× | expm1-log1p-u_binary64 |
| 771× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 11 |
| 1 | 160 | 4 |
| 2 | 2096 | 4 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (fma.f64 a a -1/9) (-.f64 a -1/3)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 a -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/3 a)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 a -1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 a a -1/9) (/.f64 1 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 a -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 a -1/3)) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2) (*.f64 (cbrt.f64 (fma.f64 a a -1/9)) (/.f64 1 (+.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 a a -1/9)) (*.f64 (sqrt.f64 (fma.f64 a a -1/9)) (/.f64 1 (+.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 a a -1/9)) (/.f64 1 (+.f64 (neg.f64 a) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 a 1/3)) (fma.f64 a a -1/9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 a a -1/9)) (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) 1) (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2)) (/.f64 (fma.f64 a a -1/9) (cbrt.f64 (+.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2) (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2)) (cbrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2)) (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (cbrt.f64 (+.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 a 1/3))) (/.f64 (fma.f64 a a -1/9) (sqrt.f64 (+.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2) (sqrt.f64 (+.f64 a 1/3))) (/.f64 (cbrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 3) 1/27)) (fma.f64 a a (+.f64 1/9 (*.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 a a -1/9) (fma.f64 a a -1/9)) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 a -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 a -1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 a -1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 a -1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 a -1/3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 (neg.f64 a) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 a -1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 a -1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 a a -1/9) 3) (pow.f64 (+.f64 a 1/3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 a -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (sqrt.f64 a) -1/3))))) |
| 1× | egg-herbie |
| 1× | +-commutative_binary64 |
| 1× | sub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 39 |
| 1 | 7 | 39 |
| 2 | 8 | 39 |
| 1× | saturated |
| Inputs |
|---|
-1/3 |
(-.f64 a 1/3) |
(-.f64 a 1/3) |
(-.f64 a 1/3) |
a |
(-.f64 a 1/3) |
(-.f64 a 1/3) |
(-.f64 a 1/3) |
a |
(-.f64 a 1/3) |
(-.f64 a 1/3) |
(-.f64 a 1/3) |
| Outputs |
|---|
-1/3 |
(-.f64 a 1/3) |
(+.f64 a -1/3) |
(-.f64 a 1/3) |
(+.f64 a -1/3) |
(-.f64 a 1/3) |
(+.f64 a -1/3) |
a |
(-.f64 a 1/3) |
(+.f64 a -1/3) |
(-.f64 a 1/3) |
(+.f64 a -1/3) |
(-.f64 a 1/3) |
(+.f64 a -1/3) |
a |
(-.f64 a 1/3) |
(+.f64 a -1/3) |
(-.f64 a 1/3) |
(+.f64 a -1/3) |
(-.f64 a 1/3) |
(+.f64 a -1/3) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (-.f64 a 1/3) rand) |
| ✓ | 0.1b | (sqrt.f64 (/.f64 1 a)) |
| ✓ | 0.4b | (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a)))) |
| ✓ | 8.9b | (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))) |
Compiled 43 to 30 computations (30.2% saved)
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | a | @ | -inf | (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a)))) |
| 1.0ms | a | @ | -inf | (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))) |
| 1.0ms | rand | @ | 0 | (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))) |
| 1.0ms | a | @ | 0 | (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))) |
| 1.0ms | a | @ | inf | (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a)))) |
| 1× | batch-egg-rewrite |
| 559× | log-prod_binary64 |
| 413× | exp-prod_binary64 |
| 389× | pow-prod-down_binary64 |
| 286× | pow2_binary64 |
| 228× | pow-unpow_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 46 |
| 1 | 236 | 38 |
| 2 | 2930 | 38 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))) |
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a)))) |
(sqrt.f64 (/.f64 1 a)) |
(*.f64 (-.f64 a 1/3) rand) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (/.f64 rand (sqrt.f64 a)))) 2)) (*.f64 (+.f64 a -1/3) (*.f64 (/.f64 rand (sqrt.f64 a)) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (/.f64 rand (sqrt.f64 a))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (/.f64 rand (sqrt.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 rand (sqrt.f64 a))) (fma.f64 a a (fma.f64 a 1/3 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 a a -1/9) (/.f64 rand (sqrt.f64 a))) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 a))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 a))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 a)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 a))))) 2)) (cbrt.f64 (log.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 a)))))) (sqrt.f64 (log.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (/.f64 rand (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 a))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 a))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 a))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 a)))) 1) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 a -1/3) (*.f64 (/.f64 rand (sqrt.f64 a)) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (/.f64 rand (sqrt.f64 a))))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (/.f64 rand (sqrt.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (/.f64 rand (sqrt.f64 a)))))) (log.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (/.f64 rand (sqrt.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (*.f64 (/.f64 rand (sqrt.f64 a)) 1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)) 1) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 a -1/3) (*.f64 (/.f64 rand (sqrt.f64 a)) 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 (+.f64 a -1/3) (*.f64 (/.f64 rand (sqrt.f64 a)) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/9 (pow.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 a))) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (*.f64 (/.f64 rand (sqrt.f64 a)) 1/3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 (/.f64 rand (sqrt.f64 a)) 1/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 (/.f64 rand (sqrt.f64 a)) 1/3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (+.f64 a -1/3) (*.f64 (/.f64 rand (sqrt.f64 a)) 1/3)))) 2)) (cbrt.f64 (log.f64 (*.f64 (+.f64 a -1/3) (*.f64 (/.f64 rand (sqrt.f64 a)) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 a -1/3) (*.f64 (/.f64 rand (sqrt.f64 a)) 1/3))))) (sqrt.f64 (log.f64 (*.f64 (+.f64 a -1/3) (*.f64 (/.f64 rand (sqrt.f64 a)) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/9 (pow.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 a))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (/.f64 rand (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 a -1/3) (*.f64 (/.f64 rand (sqrt.f64 a)) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (*.f64 (/.f64 rand (sqrt.f64 a)) 1/3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (*.f64 (/.f64 rand (sqrt.f64 a)) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 a -1/3) (*.f64 (/.f64 rand (sqrt.f64 a)) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 a -1/3) (*.f64 (/.f64 rand (sqrt.f64 a)) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a -1/3) (*.f64 (/.f64 rand (sqrt.f64 a)) 1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (*.f64 (/.f64 rand (sqrt.f64 a)) 1/3)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 (/.f64 rand (sqrt.f64 a)) 1/3)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 (/.f64 rand (sqrt.f64 a)) 1/3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (+.f64 a -1/3) (*.f64 (/.f64 rand (sqrt.f64 a)) 1/3))) 1) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 a -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 a -1/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 a -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 a -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 a -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 a -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 a -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 a)) (pow.f64 a -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a -1/6) (/.f64 1 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a -1/4) (pow.f64 a -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 a -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 a) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 a -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (*.f64 -1/2 (log.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 a -2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 a -3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 a -3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 a)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 a) -3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 a -1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 a) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 a -1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 a 3) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/2) (neg.f64 (log.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 a) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (log.f64 a))) 2)) (cbrt.f64 (*.f64 -1/2 (log.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (*.f64 -1/2 (log.f64 a)))) (sqrt.f64 (*.f64 -1/2 (log.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 a -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 a -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 a -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 a -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 a -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 a -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -1/2 (log.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 a)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/2 (log.f64 a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 a) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 a -3/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 a -1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 a)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 a -1/4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 a) 1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 a) -1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 a)) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 a)) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 -1/2 (log.f64 a)) 1) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 a -1/3) rand))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a rand) (*.f64 -1/3 rand))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 rand a) (*.f64 rand -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (+.f64 a -1/3) rand))) 2)) (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (+.f64 a -1/3) rand)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (+.f64 a -1/3) rand)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) rand))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) rand) (fma.f64 a a (fma.f64 a 1/3 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 a a -1/9) rand) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 rand (+.f64 (pow.f64 a 3) -1/27)) (fma.f64 a a (fma.f64 a 1/3 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 rand (fma.f64 a a -1/9)) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 a -1/3) rand) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 (+.f64 a -1/3) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (+.f64 a -1/3) rand))) 2)) (cbrt.f64 (log.f64 (*.f64 (+.f64 a -1/3) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 a -1/3) rand)))) (sqrt.f64 (log.f64 (*.f64 (+.f64 a -1/3) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (+.f64 a -1/3) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 a -1/3) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 a -1/3) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 a -1/3) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a -1/3) rand)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (+.f64 a -1/3) rand))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (+.f64 a -1/3) rand)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a rand (*.f64 -1/3 rand))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 rand a (*.f64 rand -1/3)))))) |
| 1× | egg-herbie |
| 4× | fma-def_binary64 |
| 3× | *-commutative_binary64 |
| 2× | +-commutative_binary64 |
| 2× | distribute-rgt-out_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 75 |
| 1 | 13 | 75 |
| 2 | 19 | 75 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 -1/3 rand) |
(+.f64 (*.f64 a rand) (*.f64 -1/3 rand)) |
(+.f64 (*.f64 a rand) (*.f64 -1/3 rand)) |
(+.f64 (*.f64 a rand) (*.f64 -1/3 rand)) |
(*.f64 a rand) |
(+.f64 (*.f64 a rand) (*.f64 -1/3 rand)) |
(+.f64 (*.f64 a rand) (*.f64 -1/3 rand)) |
(+.f64 (*.f64 a rand) (*.f64 -1/3 rand)) |
(*.f64 a rand) |
(+.f64 (*.f64 a rand) (*.f64 -1/3 rand)) |
(+.f64 (*.f64 a rand) (*.f64 -1/3 rand)) |
(+.f64 (*.f64 a rand) (*.f64 -1/3 rand)) |
| Outputs |
|---|
(*.f64 -1/3 rand) |
(+.f64 (*.f64 a rand) (*.f64 -1/3 rand)) |
(*.f64 rand (+.f64 a -1/3)) |
(*.f64 rand (+.f64 -1/3 a)) |
(+.f64 (*.f64 a rand) (*.f64 -1/3 rand)) |
(*.f64 rand (+.f64 a -1/3)) |
(*.f64 rand (+.f64 -1/3 a)) |
(+.f64 (*.f64 a rand) (*.f64 -1/3 rand)) |
(*.f64 rand (+.f64 a -1/3)) |
(*.f64 rand (+.f64 -1/3 a)) |
(*.f64 a rand) |
(*.f64 rand a) |
(+.f64 (*.f64 a rand) (*.f64 -1/3 rand)) |
(*.f64 rand (+.f64 a -1/3)) |
(*.f64 rand (+.f64 -1/3 a)) |
(+.f64 (*.f64 a rand) (*.f64 -1/3 rand)) |
(*.f64 rand (+.f64 a -1/3)) |
(*.f64 rand (+.f64 -1/3 a)) |
(+.f64 (*.f64 a rand) (*.f64 -1/3 rand)) |
(*.f64 rand (+.f64 a -1/3)) |
(*.f64 rand (+.f64 -1/3 a)) |
(*.f64 a rand) |
(*.f64 rand a) |
(+.f64 (*.f64 a rand) (*.f64 -1/3 rand)) |
(*.f64 rand (+.f64 a -1/3)) |
(*.f64 rand (+.f64 -1/3 a)) |
(+.f64 (*.f64 a rand) (*.f64 -1/3 rand)) |
(*.f64 rand (+.f64 a -1/3)) |
(*.f64 rand (+.f64 -1/3 a)) |
(+.f64 (*.f64 a rand) (*.f64 -1/3 rand)) |
(*.f64 rand (+.f64 a -1/3)) |
(*.f64 rand (+.f64 -1/3 a)) |
Compiled 6850 to 4482 computations (34.6% saved)
17 alts after pruning (9 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 484 | 3 | 487 |
| Fresh | 0 | 6 | 6 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 8 | 9 |
| Total | 486 | 17 | 503 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 (+.f64 -1/3 a) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3))))) |
| ✓ | 1.1b | (-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) a) 1/3) |
| ✓ | 46.6b | (*.f64 (sqrt.f64 a) (*.f64 1/3 rand)) |
| 63.0b | -1/3 | |
| ✓ | 46.6b | (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
| ✓ | 45.8b | (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
| ✓ | 0.1b | (-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3) |
| 61.2b | (sqrt.f64 (*.f64 1/9 (*.f64 a (*.f64 rand rand)))) | |
| ✓ | 45.8b | (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)) |
| 2.4b | (*.f64 a (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a))))) | |
| 46.6b | (*.f64 rand (*.f64 1/3 (sqrt.f64 a))) | |
| 19.5b | a | |
| ✓ | 18.2b | (-.f64 a 1/3) |
| 51.5b | (*.f64 1/3 (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 a))) | |
| 45.7b | (*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 1/9)) rand) | |
| 1.1b | (*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand))) | |
| 18.3b | (pow.f64 (/.f64 1 (+.f64 a -1/3)) -1) |
Compiled 164 to 128 computations (22% saved)
| Inputs |
|---|
-1/3 |
a |
a |
(-.f64 a 1/3) |
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
(*.f64 rand (*.f64 1/3 (sqrt.f64 a))) |
(*.f64 (sqrt.f64 a) (*.f64 1/3 rand)) |
(pow.f64 (/.f64 1 (+.f64 a -1/3)) -1) |
(sqrt.f64 (*.f64 1/9 (*.f64 a (*.f64 rand rand)))) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 1/9)) rand) |
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) |
(/.f64 (fma.f64 a a -1/9) (-.f64 a -1/3)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 1/3 (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 a))) |
(*.f64 a (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a))))) |
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) a) 1/3) |
(sqrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/9 (*.f64 rand rand)))) |
(*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand))) |
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a)))) |
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3) |
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a))))) |
(*.f64 (+.f64 -1/3 a) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3))))) |
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))) |
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3))))) |
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (/.f64 (neg.f64 rand) (*.f64 -3 (sqrt.f64 (+.f64 a -1/3)))))) |
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (*.f64 1/3 rand)))) |
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand))) |
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) (fma.f64 a a -1/9)) (+.f64 a 1/3)) |
| Outputs |
|---|
(*.f64 (+.f64 -1/3 a) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3))))) |
6 calls:
| 86.0ms | (-.f64 a (/.f64 1 3)) |
| 52.0ms | rand |
| 50.0ms | (-.f64 a (/.f64 1 3)) |
| 20.0ms | (*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand))) |
| 19.0ms | (*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand))) |
| Error | Segments | Branch |
|---|---|---|
| 0.1b | 1 | a |
| 0.1b | 1 | rand |
| 0.1b | 1 | (*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand))) |
| 0.1b | 1 | (*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand))) |
| 0.1b | 1 | (-.f64 a (/.f64 1 3)) |
| 0.1b | 1 | (-.f64 a (/.f64 1 3)) |
Compiled 395 to 297 computations (24.8% saved)
| Inputs |
|---|
-1/3 |
a |
a |
(-.f64 a 1/3) |
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
(*.f64 rand (*.f64 1/3 (sqrt.f64 a))) |
(*.f64 (sqrt.f64 a) (*.f64 1/3 rand)) |
(pow.f64 (/.f64 1 (+.f64 a -1/3)) -1) |
(sqrt.f64 (*.f64 1/9 (*.f64 a (*.f64 rand rand)))) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 1/9)) rand) |
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) |
(/.f64 (fma.f64 a a -1/9) (-.f64 a -1/3)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 1/3 (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 a))) |
(*.f64 a (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a))))) |
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) a) 1/3) |
(sqrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/9 (*.f64 rand rand)))) |
(*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand))) |
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a)))) |
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3) |
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a))))) |
| Outputs |
|---|
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3) |
2 calls:
| 14.0ms | rand |
| 13.0ms | a |
| Error | Segments | Branch |
|---|---|---|
| 0.1b | 1 | a |
| 0.1b | 1 | rand |
Compiled 191 to 130 computations (31.9% saved)
| Inputs |
|---|
-1/3 |
a |
a |
(-.f64 a 1/3) |
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
(*.f64 rand (*.f64 1/3 (sqrt.f64 a))) |
(*.f64 (sqrt.f64 a) (*.f64 1/3 rand)) |
(pow.f64 (/.f64 1 (+.f64 a -1/3)) -1) |
(sqrt.f64 (*.f64 1/9 (*.f64 a (*.f64 rand rand)))) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 1/9)) rand) |
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) |
(/.f64 (fma.f64 a a -1/9) (-.f64 a -1/3)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 1/3 (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 a))) |
(*.f64 a (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a))))) |
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) a) 1/3) |
(sqrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/9 (*.f64 rand rand)))) |
(*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand))) |
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a)))) |
| Outputs |
|---|
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) a) 1/3) |
2 calls:
| 14.0ms | rand |
| 14.0ms | a |
| Error | Segments | Branch |
|---|---|---|
| 1.1b | 1 | a |
| 1.1b | 1 | rand |
Compiled 167 to 112 computations (32.9% saved)
| Inputs |
|---|
-1/3 |
a |
a |
(-.f64 a 1/3) |
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
(*.f64 rand (*.f64 1/3 (sqrt.f64 a))) |
(*.f64 (sqrt.f64 a) (*.f64 1/3 rand)) |
(pow.f64 (/.f64 1 (+.f64 a -1/3)) -1) |
(sqrt.f64 (*.f64 1/9 (*.f64 a (*.f64 rand rand)))) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 1/9)) rand) |
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) |
(/.f64 (fma.f64 a a -1/9) (-.f64 a -1/3)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 1/3 (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 a))) |
(*.f64 a (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a))))) |
| Outputs |
|---|
(*.f64 a (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a))))) |
(-.f64 a 1/3) |
(*.f64 a (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a))))) |
2 calls:
| 69.0ms | rand |
| 10.0ms | a |
| Error | Segments | Branch |
|---|---|---|
| 2.4b | 1 | a |
| 1.1b | 3 | rand |
Compiled 123 to 84 computations (31.7% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 29.0ms | 8.222666501894201e-7 | 5.2213562192333854e-5 |
| 29.0ms | -2.4862622485972186e+22 | -1151220568742644900.0 |
Compiled 27 to 23 computations (14.8% saved)
| Inputs |
|---|
-1/3 |
a |
a |
(-.f64 a 1/3) |
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
(*.f64 rand (*.f64 1/3 (sqrt.f64 a))) |
(*.f64 (sqrt.f64 a) (*.f64 1/3 rand)) |
(pow.f64 (/.f64 1 (+.f64 a -1/3)) -1) |
(sqrt.f64 (*.f64 1/9 (*.f64 a (*.f64 rand rand)))) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 1/9)) rand) |
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) |
(/.f64 (fma.f64 a a -1/9) (-.f64 a -1/3)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 1/3 (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 a))) |
| Outputs |
|---|
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(-.f64 a 1/3) |
(*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 1/9)) rand) |
2 calls:
| 70.0ms | a |
| 47.0ms | rand |
| Error | Segments | Branch |
|---|---|---|
| 17.0b | 3 | a |
| 5.4b | 3 | rand |
Compiled 113 to 77 computations (31.9% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 83.0ms | 2.6718955914379515e+62 | 1.3212501134610558e+64 |
| 32.0ms | -1.6366252543701598e+107 | -5.860393018328086e+97 |
Compiled 27 to 23 computations (14.8% saved)
| Inputs |
|---|
-1/3 |
a |
a |
(-.f64 a 1/3) |
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
(*.f64 rand (*.f64 1/3 (sqrt.f64 a))) |
(*.f64 (sqrt.f64 a) (*.f64 1/3 rand)) |
(pow.f64 (/.f64 1 (+.f64 a -1/3)) -1) |
(sqrt.f64 (*.f64 1/9 (*.f64 a (*.f64 rand rand)))) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
| Outputs |
|---|
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(-.f64 a 1/3) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
2 calls:
| 37.0ms | rand |
| 28.0ms | a |
| Error | Segments | Branch |
|---|---|---|
| 17.0b | 3 | a |
| 5.5b | 3 | rand |
Compiled 55 to 36 computations (34.5% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 62.0ms | 2.6718955914379515e+62 | 1.3212501134610558e+64 |
| 33.0ms | -1.6366252543701598e+107 | -5.860393018328086e+97 |
Compiled 27 to 23 computations (14.8% saved)
| Inputs |
|---|
-1/3 |
a |
a |
(-.f64 a 1/3) |
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
(*.f64 rand (*.f64 1/3 (sqrt.f64 a))) |
(*.f64 (sqrt.f64 a) (*.f64 1/3 rand)) |
(pow.f64 (/.f64 1 (+.f64 a -1/3)) -1) |
(sqrt.f64 (*.f64 1/9 (*.f64 a (*.f64 rand rand)))) |
| Outputs |
|---|
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
(-.f64 a 1/3) |
(*.f64 rand (*.f64 1/3 (sqrt.f64 a))) |
2 calls:
| 24.0ms | rand |
| 17.0ms | a |
| Error | Segments | Branch |
|---|---|---|
| 17.0b | 3 | a |
| 5.8b | 3 | rand |
Compiled 47 to 30 computations (36.2% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 37.0ms | 2.6718955914379515e+62 | 1.3212501134610558e+64 |
| 33.0ms | -1.6366252543701598e+107 | -5.860393018328086e+97 |
Compiled 27 to 23 computations (14.8% saved)
| Inputs |
|---|
-1/3 |
a |
a |
(-.f64 a 1/3) |
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
| Outputs |
|---|
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
(-.f64 a 1/3) |
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
2 calls:
| 17.0ms | rand |
| 12.0ms | a |
| Error | Segments | Branch |
|---|---|---|
| 17.0b | 3 | a |
| 5.8b | 3 | rand |
Compiled 20 to 13 computations (35% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 38.0ms | 2.6718955914379515e+62 | 1.3212501134610558e+64 |
| 33.0ms | -1.6366252543701598e+107 | -5.860393018328086e+97 |
Compiled 27 to 23 computations (14.8% saved)
| Inputs |
|---|
-1/3 |
a |
a |
(-.f64 a 1/3) |
| Outputs |
|---|
(-.f64 a 1/3) |
2 calls:
| 11.0ms | rand |
| 4.0ms | a |
| Error | Segments | Branch |
|---|---|---|
| 18.2b | 1 | a |
| 18.2b | 1 | rand |
Compiled 14 to 9 computations (35.7% saved)
Total -43.8b remaining (-224.3%)
Threshold costs -43.8b (-224.3%)
| Inputs |
|---|
-1/3 |
a |
a |
| Outputs |
|---|
a |
2 calls:
| 4.0ms | a |
| 4.0ms | rand |
| Error | Segments | Branch |
|---|---|---|
| 19.5b | 1 | a |
| 19.5b | 1 | rand |
Compiled 11 to 7 computations (36.4% saved)
| 1× | egg-herbie |
| 11× | *-commutative_binary64 |
| 7× | +-commutative_binary64 |
| 3× | sub-neg_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 254 |
| 1 | 80 | 254 |
| 2 | 82 | 254 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (+.f64 -1/3 a) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3))))) |
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3) |
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) a) 1/3) |
(if (<=.f64 rand -24862622485972185513984) (*.f64 a (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a))))) (if (<=.f64 rand 7766088937672033/9444732965739290427392) (-.f64 a 1/3) (*.f64 a (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a))))))) |
(if (<=.f64 rand -163662525437015976722840442929983283997457443852232033154222387811417017323470110318070972406964628444151808) (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) (if (<=.f64 rand 267189559143795146568796818208735703717469734109297822807359488) (-.f64 a 1/3) (*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 1/9)) rand))) |
(if (<=.f64 rand -163662525437015976722840442929983283997457443852232033154222387811417017323470110318070972406964628444151808) (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) (if (<=.f64 rand 267189559143795146568796818208735703717469734109297822807359488) (-.f64 a 1/3) (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)))) |
(if (<=.f64 rand -163662525437015976722840442929983283997457443852232033154222387811417017323470110318070972406964628444151808) (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) (if (<=.f64 rand 267189559143795146568796818208735703717469734109297822807359488) (-.f64 a 1/3) (*.f64 rand (*.f64 1/3 (sqrt.f64 a))))) |
(if (<=.f64 rand -163662525437015976722840442929983283997457443852232033154222387811417017323470110318070972406964628444151808) (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) (if (<=.f64 rand 267189559143795146568796818208735703717469734109297822807359488) (-.f64 a 1/3) (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))) |
(-.f64 a 1/3) |
a |
-1/3 |
| Outputs |
|---|
(*.f64 (+.f64 -1/3 a) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3))))) |
(*.f64 (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 -1/3 a)))) (+.f64 -1/3 a)) |
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3) |
(+.f64 (+.f64 a (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))) -1/3) |
(+.f64 -1/3 (+.f64 a (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))) |
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) a) 1/3) |
(+.f64 (+.f64 a (*.f64 1/3 (*.f64 rand (sqrt.f64 a)))) -1/3) |
(+.f64 -1/3 (+.f64 a (*.f64 1/3 (*.f64 rand (sqrt.f64 a))))) |
(if (<=.f64 rand -24862622485972185513984) (*.f64 a (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a))))) (if (<=.f64 rand 7766088937672033/9444732965739290427392) (-.f64 a 1/3) (*.f64 a (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a))))))) |
(if (<=.f64 rand -24862622485972185513984) (*.f64 a (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 a 9))))) (if (<=.f64 rand 7766088937672033/9444732965739290427392) (+.f64 -1/3 a) (*.f64 a (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 a 9))))))) |
(if (<=.f64 rand -163662525437015976722840442929983283997457443852232033154222387811417017323470110318070972406964628444151808) (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) (if (<=.f64 rand 267189559143795146568796818208735703717469734109297822807359488) (-.f64 a 1/3) (*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 1/9)) rand))) |
(if (<=.f64 rand -163662525437015976722840442929983283997457443852232033154222387811417017323470110318070972406964628444151808) (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))) (if (<=.f64 rand 267189559143795146568796818208735703717469734109297822807359488) (+.f64 -1/3 a) (*.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 1/9))))) |
(if (<=.f64 rand -163662525437015976722840442929983283997457443852232033154222387811417017323470110318070972406964628444151808) (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) (if (<=.f64 rand 267189559143795146568796818208735703717469734109297822807359488) (-.f64 a 1/3) (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)))) |
(if (<=.f64 rand -163662525437015976722840442929983283997457443852232033154222387811417017323470110318070972406964628444151808) (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))) (if (<=.f64 rand 267189559143795146568796818208735703717469734109297822807359488) (+.f64 -1/3 a) (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))) |
(if (<=.f64 rand -163662525437015976722840442929983283997457443852232033154222387811417017323470110318070972406964628444151808) (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) (if (<=.f64 rand 267189559143795146568796818208735703717469734109297822807359488) (-.f64 a 1/3) (*.f64 rand (*.f64 1/3 (sqrt.f64 a))))) |
(if (<=.f64 rand -163662525437015976722840442929983283997457443852232033154222387811417017323470110318070972406964628444151808) (*.f64 1/3 (*.f64 rand (sqrt.f64 a))) (if (<=.f64 rand 267189559143795146568796818208735703717469734109297822807359488) (+.f64 -1/3 a) (*.f64 rand (*.f64 1/3 (sqrt.f64 a))))) |
(if (<=.f64 rand -163662525437015976722840442929983283997457443852232033154222387811417017323470110318070972406964628444151808) (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) (if (<=.f64 rand 267189559143795146568796818208735703717469734109297822807359488) (-.f64 a 1/3) (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))) |
(if (<=.f64 rand -163662525437015976722840442929983283997457443852232033154222387811417017323470110318070972406964628444151808) (*.f64 1/3 (*.f64 rand (sqrt.f64 a))) (if (<=.f64 rand 267189559143795146568796818208735703717469734109297822807359488) (+.f64 -1/3 a) (*.f64 1/3 (*.f64 rand (sqrt.f64 a))))) |
(-.f64 a 1/3) |
(+.f64 -1/3 a) |
a |
-1/3 |
Compiled 194 to 143 computations (26.3% saved)
Compiled 174 to 119 computations (31.6% saved)
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